Take Home Exercise 2

Published

December 6, 2023

Modified

December 18, 2023

Geospatial Data Science

Getting Started

  • sf - importing, integrating, processing and transforming geospatial data.

  • tidyverse - importing, integrating, wrangling and visualising data.

  • tmap - creating thematic maps.

pacman::p_load(tmap, sf, sp, DT, stplanr,
               performance, reshape2,
               ggpubr, tidyverse, httr, ggplot2)

Preparing the Flow Data

Importing the OD data

Import the Passenger Volume by Origin Destination Bus Stops data set downloaded from LTA DataMall

odbus <- read_csv("data/aspatial/origin_destination_bus_202308.csv")

Check odbus tibble data frame

glimpse(odbus)
Rows: 5,709,512
Columns: 7
$ YEAR_MONTH          <chr> "2023-08", "2023-08", "2023-08", "2023-08", "2023-…
$ DAY_TYPE            <chr> "WEEKDAY", "WEEKENDS/HOLIDAY", "WEEKENDS/HOLIDAY",…
$ TIME_PER_HOUR       <dbl> 16, 16, 14, 14, 17, 17, 17, 17, 7, 17, 14, 10, 10,…
$ PT_TYPE             <chr> "BUS", "BUS", "BUS", "BUS", "BUS", "BUS", "BUS", "…
$ ORIGIN_PT_CODE      <chr> "04168", "04168", "80119", "80119", "44069", "4406…
$ DESTINATION_PT_CODE <chr> "10051", "10051", "90079", "90079", "17229", "1722…
$ TOTAL_TRIPS         <dbl> 7, 2, 3, 10, 5, 4, 3, 22, 3, 3, 7, 1, 3, 1, 3, 1, …

Note: Values in ORIGIN_PT_CODE and DESTINATION_PT_CODE are character data type

Converting ORIGIN_PT_CODE and DESTINATION_PT_CODE columns from character data type to factors in R (categorical data type)

odbus$ORIGIN_PT_CODE <-
as.factor(odbus$ORIGIN_PT_CODE)
odbus$DESTINATION_PT_CODE <-
as.factor(odbus$DESTINATION_PT_CODE)

Extracting the Study Data

Filter out data that belong to trips that occur during “Weekday” and “6-9am” (wdmp)

wdmp <- odbus %>%
  filter(DAY_TYPE == "WEEKDAY") %>%
  filter(TIME_PER_HOUR >= 6 & TIME_PER_HOUR <= 9) %>%
  group_by(ORIGIN_PT_CODE, DESTINATION_PT_CODE) %>%
  summarise(TRIPS = sum(TOTAL_TRIPS))

Check resulting data table

head(wdmp)
# A tibble: 6 × 3
# Groups:   ORIGIN_PT_CODE [1]
  ORIGIN_PT_CODE DESTINATION_PT_CODE TRIPS
  <fct>          <fct>               <dbl>
1 01012          01112                 276
2 01012          01113                 143
3 01012          01121                  66
4 01012          01211                 134
5 01012          01311                 256
6 01012          07371                  22

Output saved in rds format for future use

write_rds(wdmp, "data/rds/wdmp.rds") 

Import the rds file into R environment

wdmp <- read_rds("data/rds/wdmp.rds") 

Geospatial Data

Two geospatial data will be used for this exercise:

  • BusStop: Provides location of bus stop as at Q4 2022

  • MPSZ-2019: Provides the sub-zone boundary of URA Master Plan 2019

Importing Bus Stop Locations

busstop <- st_read(dsn = "Data/geospatial",
                   layer = "BusStop") %>%
  st_transform(crs = 3414)
Reading layer `BusStop' from data source 
  `C:\lnealicia\ISSS624\Takehome_ex02\data\geospatial' using driver `ESRI Shapefile'
Simple feature collection with 5161 features and 3 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 3970.122 ymin: 26482.1 xmax: 48284.56 ymax: 52983.82
Projected CRS: SVY21

Importing Singapore Map

mpsz <- read_rds("data/rds/mpsz.rds")
mpsz
Simple feature collection with 332 features and 6 fields
Geometry type: MULTIPOLYGON
Dimension:     XY
Bounding box:  xmin: 2667.538 ymin: 15748.72 xmax: 56396.44 ymax: 50256.33
Projected CRS: SVY21 / Singapore TM
First 10 features:
                 SUBZONE_N SUBZONE_C       PLN_AREA_N PLN_AREA_C       REGION_N
1              MARINA EAST    MESZ01      MARINA EAST         ME CENTRAL REGION
2         INSTITUTION HILL    RVSZ05     RIVER VALLEY         RV CENTRAL REGION
3           ROBERTSON QUAY    SRSZ01  SINGAPORE RIVER         SR CENTRAL REGION
4  JURONG ISLAND AND BUKOM    WISZ01  WESTERN ISLANDS         WI    WEST REGION
5             FORT CANNING    MUSZ02           MUSEUM         MU CENTRAL REGION
6         MARINA EAST (MP)    MPSZ05    MARINE PARADE         MP CENTRAL REGION
7                   SUDONG    WISZ03  WESTERN ISLANDS         WI    WEST REGION
8                  SEMAKAU    WISZ02  WESTERN ISLANDS         WI    WEST REGION
9           SOUTHERN GROUP    SISZ02 SOUTHERN ISLANDS         SI CENTRAL REGION
10                 SENTOSA    SISZ01 SOUTHERN ISLANDS         SI CENTRAL REGION
   REGION_C                       geometry
1        CR MULTIPOLYGON (((33222.98 29...
2        CR MULTIPOLYGON (((28481.45 30...
3        CR MULTIPOLYGON (((28087.34 30...
4        WR MULTIPOLYGON (((14557.7 304...
5        CR MULTIPOLYGON (((29542.53 31...
6        CR MULTIPOLYGON (((35279.55 30...
7        WR MULTIPOLYGON (((15772.59 21...
8        WR MULTIPOLYGON (((19843.41 21...
9        CR MULTIPOLYGON (((30870.53 22...
10       CR MULTIPOLYGON (((26879.04 26...

Check structure of busstop and MPSZ sf tibble data frame

glimpse(busstop)
Rows: 5,161
Columns: 4
$ BUS_STOP_N <chr> "22069", "32071", "44331", "96081", "11561", "66191", "2338…
$ BUS_ROOF_N <chr> "B06", "B23", "B01", "B05", "B05", "B03", "B02A", "B02", "B…
$ LOC_DESC   <chr> "OPP CEVA LOGISTICS", "AFT TRACK 13", "BLK 239", "GRACE IND…
$ geometry   <POINT [m]> POINT (13576.31 32883.65), POINT (13228.59 44206.38),…
glimpse(mpsz)
Rows: 332
Columns: 7
$ SUBZONE_N  <chr> "MARINA EAST", "INSTITUTION HILL", "ROBERTSON QUAY", "JURON…
$ SUBZONE_C  <chr> "MESZ01", "RVSZ05", "SRSZ01", "WISZ01", "MUSZ02", "MPSZ05",…
$ PLN_AREA_N <chr> "MARINA EAST", "RIVER VALLEY", "SINGAPORE RIVER", "WESTERN …
$ PLN_AREA_C <chr> "ME", "RV", "SR", "WI", "MU", "MP", "WI", "WI", "SI", "SI",…
$ REGION_N   <chr> "CENTRAL REGION", "CENTRAL REGION", "CENTRAL REGION", "WEST…
$ REGION_C   <chr> "CR", "CR", "CR", "WR", "CR", "CR", "WR", "WR", "CR", "CR",…
$ geometry   <MULTIPOLYGON [m]> MULTIPOLYGON (((33222.98 29..., MULTIPOLYGON (…

Hexagon Grid Setup

An analytical hexagon data of 375m (this distance is the perpendicular distance between the centre of the hexagon and its edges) is used to represent the traffic analysis zone (TAZ).

Drawing the Hexagon Grid

Draw hexagon grid over the mpsz map

hexagon_grid = st_make_grid(mpsz, c(750, 750), what = "polygons", square = FALSE)

Convert the hexagon grid to sf (simple features) object and add a new column grid_id (sequential identifier) to it

grid_sf = st_sf(hexagon_grid) %>%
  mutate(grid_id = 1:length(lengths(hexagon_grid)))

Assign bus stops to hexagon grid_id

busstop_grid <- st_intersection(grid_sf,busstop) %>%
  select(BUS_STOP_N, grid_id) %>%
  st_drop_geometry()

Save output into rds format

write_rds(busstop_grid, "data/rds/busstop_grid.rds")

Retain unique records only

busstop_grid <- unique(busstop_grid)

Replace Bus Stop Code with Corresponding Hexagon Grid ID

wdmp left join with busstop_grid for ORIGIN_PT_CODE

wdmp <- wdmp %>%
  left_join(busstop_grid, by = c("ORIGIN_PT_CODE" = "BUS_STOP_N"))

Rename column to ori_grid

wdmp <- wdmp %>%
  rename(ori_grid = grid_id)

wdmp left join with busstop_grid for DESTINATION_PT_CODE

wdmp <- wdmp %>%
  left_join(busstop_grid, by = c("DESTINATION_PT_CODE" = "BUS_STOP_N"))

Rename column to desti_grid

wdmp <- wdmp %>%
  rename(desti_grid = grid_id)

Remove bus stop codes

wdmp <- wdmp %>%
  ungroup() %>%
  select(-c(ORIGIN_PT_CODE, DESTINATION_PT_CODE))

Remove any NA values

wdmp <- na.omit(wdmp)

Reorder columns to Origin, Destination, Number of Trips

wdmp <- wdmp %>%
  select(ori_grid, desti_grid, TRIPS)

Visualising Spatial Interaction

Removing intra-zonal flows

wdmp1 <- wdmp[wdmp$ori_grid != wdmp$desti_grid, ]

Creating desire lines

flowLine <- od2line(flow = wdmp1, 
                    zones = grid_sf,
                    zone_code = "grid_id")

Visualising the desire lines

Flow data is very messy and highly skewed, thus focus is placed on selected flows e.g. flow >= 5000

tm_shape(mpsz) +
  tm_polygons() +
flowLine %>%  
  filter(TRIPS >= 5000) %>%
tm_shape() +
  tm_lines(lwd = "TRIPS",
           style = "quantile",
           scale = c(0.1, 1, 3, 5, 7, 10),
           n = 6,
           alpha = 0.3)

Hexagons involved in most taken bus route

max_wdmp_row <- wdmp[which.max(wdmp$TRIPS), ]

ori_grid_max <- max_wdmp_row$ori_grid
desti_grid_max <- max_wdmp_row$desti_grid

Hexagons with the highest volume of trips

max_wdmp_row
# A tibble: 1 × 3
  ori_grid desti_grid TRIPS
     <int>      <int> <dbl>
1     1350       1375 96630

Note: Trips originating from grid id 1350, with destination 1375 has the highest volume (i.e. 96630 trips)

Locating the bus stops contained within the hexagons and their locations

ori_busstop <- busstop_grid$BUS_STOP_N[busstop_grid$grid_id == ori_grid_max]

desti_busstop <- busstop_grid$BUS_STOP_N[busstop_grid$grid_id == desti_grid_max]

List of bus stops of interest

ori_busstop
[1] "46211" "46219"
desti_busstop
[1] "46159" "46109" "46101" "46151"

Location of bus stops of interest

busstop_locations_ori <- busstop$LOC_DESC[match(ori_busstop, busstop$BUS_STOP_N)]
busstop_locations_desti <- busstop$LOC_DESC[match(desti_busstop, busstop$BUS_STOP_N)]
busstop_locations_ori 
[1] "JOHOR BAHRU CHECKPT" "JOHOR BAHRU CHECKPT"
busstop_locations_desti
[1] "BLK 206"         "W'LANDS CHECKPT" "W'LANDS CHECKPT" "BLK 212"        

Note: We can see that the locations with the highest volume of trips involve trips that originate from Malaysia into Singapore, across the causeway. Bus Stop 46159 Blk 206 and Bus Stop 46151 Blk 212 both correspond to Marsiling Lane, which is near the Woodlands checkpoint.

Information from:

TransitLink Bus Stop 46159

TransitLink Bus Stop 46151

Statistical Conclusion

Weekday Morning Peak 6am-9am

Upon examination, a notable trend emerges with heightened activity at transit points like Woodlands checkpoint, indicating substantial cross-border commuting. Specifically, bus stops 46159 Blk 206 and 46151 Blk 212 also located near the checkpoint highlight the significance of these transit nodes. With bus stops servicing this area having the greatest trips volume. In addition, the observed concentration of trips between residential zones (e.g., Bukit Batok) and industrial hubs (e.g., Tuas, Loyang) also reveals a distinct commuting pattern. This concentration suggests a predominant pattern of people commuting from their homes in residential estates or across the border from Malaysia to their workplaces in office and industrial areas.

Propulsive and Attractiveness Variables

Effect of Distance on Number of Trips

Converting from sf data.table to SpatialPolygonsDataFrame

grid_sf is converted from sf tibble data frame to SpatialPolygonsDataFrame of sp object

grid_sp <- as(grid_sf, "Spatial")
grid_sp
class       : SpatialPolygonsDataFrame 
features    : 3942 
extent      : 1917.538, 57042.54, 15315.71, 50606.24  (xmin, xmax, ymin, ymax)
crs         : +proj=tmerc +lat_0=1.36666666666667 +lon_0=103.833333333333 +k=1 +x_0=28001.642 +y_0=38744.572 +ellps=WGS84 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs 
variables   : 1
names       : grid_id 
min values  :       1 
max values  :    3942 

Computing the distance matrix

Euclidean distance between the centroids of the hexagons

euc_dist <- spDists(grid_sp, 
                longlat = FALSE)
head(euc_dist, n=c(10, 10))
           [,1]      [,2]     [,3]     [,4]     [,5]     [,6]     [,7]     [,8]
 [1,]     0.000  1299.038 2598.076 3897.114 5196.152 6495.191 7794.229 9093.267
 [2,]  1299.038     0.000 1299.038 2598.076 3897.114 5196.152 6495.191 7794.229
 [3,]  2598.076  1299.038    0.000 1299.038 2598.076 3897.114 5196.152 6495.191
 [4,]  3897.114  2598.076 1299.038    0.000 1299.038 2598.076 3897.114 5196.152
 [5,]  5196.152  3897.114 2598.076 1299.038    0.000 1299.038 2598.076 3897.114
 [6,]  6495.191  5196.152 3897.114 2598.076 1299.038    0.000 1299.038 2598.076
 [7,]  7794.229  6495.191 5196.152 3897.114 2598.076 1299.038    0.000 1299.038
 [8,]  9093.267  7794.229 6495.191 5196.152 3897.114 2598.076 1299.038    0.000
 [9,] 10392.305  9093.267 7794.229 6495.191 5196.152 3897.114 2598.076 1299.038
[10,] 11691.343 10392.305 9093.267 7794.229 6495.191 5196.152 3897.114 2598.076
           [,9]     [,10]
 [1,] 10392.305 11691.343
 [2,]  9093.267 10392.305
 [3,]  7794.229  9093.267
 [4,]  6495.191  7794.229
 [5,]  5196.152  6495.191
 [6,]  3897.114  5196.152
 [7,]  2598.076  3897.114
 [8,]  1299.038  2598.076
 [9,]     0.000  1299.038
[10,]  1299.038     0.000

Note: Output distance is a matrix object class of R. Column headers and row headers are also not labeled with the hexagon grid id.

Labelling column and row headers of distance matrix

Create a list sorted according to the the distance matrix by hexagon grid id

grid_id <- grid_sf$grid_id

Attach grid_id to row and column for distance matrix matching

colnames(euc_dist) <- paste0(grid_id)
rownames(euc_dist) <- paste0(grid_id)

Pivoting distance value by grid_id

Pivot the distance matrix into a long table by using the row and column hexagons. Columns are renamed for easy reference.

dist_pair <- melt(euc_dist) %>%
  rename(ori_grid = Var1,
         desti_grid = Var2,
         euc_dist = value)
head(dist_pair, 10)
   ori_grid desti_grid  euc_dist
1         1          1     0.000
2         2          1  1299.038
3         3          1  2598.076
4         4          1  3897.114
5         5          1  5196.152
6         6          1  6495.191
7         7          1  7794.229
8         8          1  9093.267
9         9          1 10392.305
10       10          1 11691.343

Find mininum inter-zonal difference

An analytical hexagon has an inter-zonal difference of 0 when compared to itself, which inaccurately represents intra-zonal disparity. Thus, a small constant value i.e. smaller than the minimum inter-zonal difference, replaces all instances where the intra-zonal difference is ‘0’. Therefore, allowing for a more accurate reflection of intra-zonal differences in the distance computation.

dist_pair %>%
  filter(euc_dist > 0) %>%
  summary()
    ori_grid      desti_grid      euc_dist    
 Min.   :   1   Min.   :   1   Min.   :  750  
 1st Qu.: 986   1st Qu.: 986   1st Qu.:14465  
 Median :1972   Median :1972   Median :22761  
 Mean   :1972   Mean   :1972   Mean   :23714  
 3rd Qu.:2957   3rd Qu.:2957   3rd Qu.:31882  
 Max.   :3942   Max.   :3942   Max.   :64356  

Note: The smallest distance inter-zonal difference is 750m, which is the the distance between the centres of two adjacent analytical hexagons in this analysis. The intra-zonal distance is thus set to 50m.

dist_pair$euc_dist <- ifelse(dist_pair$euc_dist == 0,
                        50, dist_pair$euc_dist)

Check resulting data frame

dist_pair %>%
  summary()
    ori_grid      desti_grid      euc_dist    
 Min.   :   1   Min.   :   1   Min.   :   50  
 1st Qu.: 986   1st Qu.: 986   1st Qu.:14465  
 Median :1972   Median :1972   Median :22761  
 Mean   :1972   Mean   :1972   Mean   :23708  
 3rd Qu.:2957   3rd Qu.:2957   3rd Qu.:31882  
 Max.   :3942   Max.   :3942   Max.   :64356  

Converting ori_grid and desti_grid columns to factors in R (categorical data type)

dist_pair$ori_grid <-
as.factor(dist_pair$ori_grid)
dist_pair$desti_grid <-
as.factor(dist_pair$desti_grid)

Save the dataframe as rds format

write_rds(dist_pair, "data/rds/dist_pair.rds") 

Compute the Total Passenger Trips (Between and Within Hexagons)

flow_data <- wdmp %>%
  group_by(ori_grid, desti_grid) %>% 
  summarize(TRIPS = sum(TRIPS)) 

Display flow_data dataframe

head(flow_data, 10)
# A tibble: 10 × 3
# Groups:   ori_grid [3]
   ori_grid desti_grid TRIPS
      <int>      <int> <dbl>
 1      118        201     1
 2      118        228     2
 3      118        254     2
 4      118        281     1
 5      118        285    56
 6      146        228    13
 7      146        285    37
 8      174        257     1
 9      174        286    32
10      174        314     9

Separating intra-flow (within hexagon) from passenger volume df

Add three new fields in flow_data dataframe

flow_data$FlowNoIntra <- ifelse(
  flow_data$ori_grid == flow_data$desti_grid, 
  0, flow_data$TRIPS)
flow_data$offset <- ifelse(
  flow_data$ori_grid == flow_data$desti_grid,
  0.000001, 1)

Converting ori_grid and desti_grid columns to factors in R (categorical data type)

flow_data$ori_grid <-
as.factor(flow_data$ori_grid)
flow_data$desti_grid <-
as.factor(flow_data$desti_grid)

Combining passenger volume data with distance value

left_join() flow_data dataframe and dist_pair dataframe

flow_data1 <- flow_data %>%
  left_join (dist_pair,
             by = c("ori_grid" = "ori_grid",
                    "desti_grid" = "desti_grid"))

Save output as SIM_data.rds

write_rds(flow_data1, "data/rds/SIM_data")

Import to R environment

SIM_data <- readRDS("data/rds/SIM_data.rds")

Visualising Plot

flow_data1 %>%
  st_drop_geometry() %>%
  ggplot(
    aes(
      x = euc_dist, 
      y = TRIPS)) + 
  geom_point(
    size = 1,
    alpha = .6,
    color = "grey") +
  geom_smooth(method = lm) +
  ggtitle("Trips ~ Distance")

flow_data1 %>%
  st_drop_geometry() %>%
  ggplot(
    aes(x = log(euc_dist), 
        y = log(TRIPS))) +
  geom_point(
    size = 1,
    alpha = .6,
    color = "lightgreen") +
  geom_smooth(method = lm) +
  ggtitle("Log(Trips ~ Distance)")

Note: Based on the above plots, there seems to be no linear trend when using absolute values. However, there seems to be an inverse linear trend when the data is log transformed. This indicates that the further the distance, the fewer trips.

Propulsive Attributes

Since the time period being analysed is Weekday Morning Peak, propulsive attributes are likely related to:

  • Train Station Exits - Part of commute between residence & work/school
  • Food & Beverage (F&B) - Breakfast locations before commute
  • HDB - Residences/Homes

Importing of Train Station Exit Locations

mrt_exit <- st_read(dsn = "Data/geospatial",
                   layer = "Train_Station_Exit_Layer") %>%
  st_transform(crs = 3414)
Reading layer `Train_Station_Exit_Layer' from data source 
  `C:\lnealicia\ISSS624\Takehome_ex02\data\geospatial' using driver `ESRI Shapefile'
Simple feature collection with 565 features and 2 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 6134.086 ymin: 27499.7 xmax: 45356.36 ymax: 47865.92
Projected CRS: SVY21

Number of Train Station Exits per Location

grid_attr <- grid_sf

grid_attr$mrt_exit <- lengths(st_intersects(grid_sf, mrt_exit))

summary(grid_attr$mrt_exit)
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
 0.0000  0.0000  0.0000  0.1433  0.0000 19.0000 
message(paste("There are", sum(grid_attr$mrt_exit), "Train Station Exits that occur in hexagons with bus stops", "with a maximum of", max(grid_attr$mrt_exit), "within grid_id", grid_attr$grid_id[which.max(grid_attr$mrt_exit)]))

Importing of F&B locations

fnb <- st_read(dsn = "Data/geospatial",
                   layer = "F&B") %>%
  st_transform(crs = 3414)
Reading layer `F&B' from data source 
  `C:\lnealicia\ISSS624\Takehome_ex02\data\geospatial' using driver `ESRI Shapefile'
Simple feature collection with 1919 features and 3 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 6010.495 ymin: 25343.27 xmax: 45462.43 ymax: 48796.21
Projected CRS: SVY21 / Singapore TM

Number of F&B per Location

grid_attr$fnb <- lengths(st_intersects(grid_sf, fnb))

summary(grid_attr$fnb)
    Min.  1st Qu.   Median     Mean  3rd Qu.     Max. 
  0.0000   0.0000   0.0000   0.4868   0.0000 127.0000 
message(paste("There are", sum(grid_attr$fnb), " Food & Beverage establishments that occur in hexagons with bus stops", "with a maximum of", max(grid_attr$fnb), "within grid_id", grid_attr$grid_id[which.max(grid_attr$fnb)]))

Importing of residential HDBs

hdb <- read_csv("data/aspatial/hdb.csv")

Remove duplicates, select only residential properties and relevant columns

hdb <- unique(hdb)

hdb <- hdb %>%
  filter(residential == "Y") %>%
  select(
    blk_no,
    street,
    postal,
    total_dwelling_units,
    lng,
    lat
  )

Rename columns for ease of reference

hdb <- hdb %>%
  rename(
    longitude = lng,
    latitude = lat
  )

Converting an aspatial data into a simple features tibble data.frame

hdb_sf <- st_as_sf(hdb,
                   coords = c("longitude", "latitude"),
                   crs = 4326) %>%
  st_transform(crs = 3414)

Number of HDB per Location

grid_attr$hdb <- lengths(st_intersects(grid_sf, hdb_sf))

summary(grid_attr$hdb)
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
  0.000   0.000   0.000   2.583   0.000  75.000 
message(paste("There are", sum(grid_attr$hdb), " residential HDB buildings that occur in hexagons with bus stops", "with a maximum of", max(grid_attr$hdb), "within grid_id", grid_attr$grid_id[which.max(grid_attr$hdb)]))

Attractive Attributes

Since the time period being analysed is Weekday Morning Peak, attractive attributes are likely related to:

  • Business - Work Location
  • Financial Services (FinServ) - Work Location
  • School - youths of school-going age commuting to school

Importing of Business Locations

biz <- st_read(dsn = "Data/geospatial",
                   layer = "Business") %>%
  st_transform(crs = 3414)
Reading layer `Business' from data source 
  `C:\lnealicia\ISSS624\Takehome_ex02\data\geospatial' using driver `ESRI Shapefile'
Simple feature collection with 6550 features and 3 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 3669.148 ymin: 25408.41 xmax: 47034.83 ymax: 50148.54
Projected CRS: SVY21 / Singapore TM

Number of Businesses per Location

grid_attr$biz <- lengths(st_intersects(grid_sf, biz))

summary(grid_attr$biz)
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
  0.000   0.000   0.000   1.662   0.000 126.000 
message(paste("There are", sum(grid_attr$biz), " Businesses that occur in hexagons with bus stops", "with a maximum of", max(grid_attr$biz), "within grid_id", grid_attr$grid_id[which.max(grid_attr$biz)]))

The location with the most number of businesses is grid id 3942, with 126 businesses located within.

Importing of Financial Services Locations

fs <- st_read(dsn = "Data/geospatial",
                   layer = "FinServ") %>%
  st_transform(crs = 3414)
Reading layer `FinServ' from data source 
  `C:\lnealicia\ISSS624\Takehome_ex02\data\geospatial' using driver `ESRI Shapefile'
Simple feature collection with 3320 features and 3 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 4881.527 ymin: 25171.88 xmax: 46526.16 ymax: 49338.02
Projected CRS: SVY21 / Singapore TM

Number of Financial Services per Location

grid_attr$fs <- lengths(st_intersects(grid_sf, fs))

summary(grid_attr$fs)
    Min.  1st Qu.   Median     Mean  3rd Qu.     Max. 
  0.0000   0.0000   0.0000   0.8422   0.0000 176.0000 
message(paste("There are", sum(grid_attr$fs), " Financial Services that occur in hexagons with bus stops", "with a maximum of", max(grid_attr$fs), "within grid_id", grid_attr$grid_id[which.max(grid_attr$fs)]))

Note: The hexagaon with grid_id 2009 also boasts the highest count of train station exits!

Importing of School Locations

sch <- read_csv("data/aspatial/schools.csv")

Remove duplicates, select only relevant columns

sch <- unique(sch)

sch <- sch %>%
  select(
    results.LATITUDE,
    results.LONGITUDE,
    postal_code, 
    school_name
  )

Rename columns for ease of reference

sch <- sch %>%
  rename(
    latitude = results.LATITUDE,
    longitude = results.LONGITUDE
  )

Converting an aspatial data into a simple features tibble data.frame

sch_sf <- st_as_sf(sch,
                   coords = c("longitude", "latitude"),
                   crs = 4326) %>%
  st_transform(crs = 3414)

Number of Schools per Location

grid_attr$sch <- lengths(st_intersects(grid_sf, sch_sf))

summary(grid_attr$sch)
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
0.00000 0.00000 0.00000 0.08879 0.00000 5.00000 
message(paste("There are", sum(grid_attr$sch), " Schools that occur in hexagons with bus stops", "with a maximum of", max(grid_attr$sch), "within grid_id", grid_attr$grid_id[which.max(grid_attr$sch)]))

Check Propulsive and Attractive Attributes

Check grid_attr

grid_attr
Simple feature collection with 3942 features and 7 fields
Geometry type: POLYGON
Dimension:     XY
Bounding box:  xmin: 1917.538 ymin: 15315.71 xmax: 57042.54 ymax: 50606.24
Projected CRS: SVY21 / Singapore TM
First 10 features:
                     hexagon_grid grid_id mrt_exit fnb hdb biz fs sch
1  POLYGON ((2292.538 15965.23...       1        0   0   0   0  0   0
2  POLYGON ((2292.538 17264.27...       2        0   0   0   0  0   0
3  POLYGON ((2292.538 18563.3,...       3        0   0   0   0  0   0
4  POLYGON ((2292.538 19862.34...       4        0   0   0   0  0   0
5  POLYGON ((2292.538 21161.38...       5        0   0   0   0  0   0
6  POLYGON ((2292.538 22460.42...       6        0   0   0   0  0   0
7  POLYGON ((2292.538 23759.46...       7        0   0   0   0  0   0
8  POLYGON ((2292.538 25058.49...       8        0   0   0   0  0   0
9  POLYGON ((2292.538 26357.53...       9        0   0   0   0  0   0
10 POLYGON ((2292.538 27656.57...      10        0   0   0   0  0   0

Spatial Interaction Modelling

Select attributes relevant Propulsive Attributes and Attractive Attributes for Spatial Interaction Modelling

attr <- grid_attr %>%
  st_drop_geometry() %>%
  mutate(
    grid_id = as.factor(grid_id)
  )

Flow by Origin

Retain only propulsive attributes

attr_flow <- left_join(
  dist_pair,
  attr,
  by = c("ori_grid" = "grid_id")) %>%
  rename(
    ori_mrt_exit = mrt_exit,
    ori_fnb = fnb,
    ori_hdb = hdb
  ) %>%
  select(
    -c(fs,biz,sch))

Flow by Destination

Retain only attractive attributes

attr_flow <- left_join(
  attr_flow,
  attr,
  by = c("desti_grid" = "grid_id")) %>%
  rename(
    desti_fs = fs,
    desti_biz = biz,
    desti_sch = sch
  ) %>%
  select(
    -c(mrt_exit,fnb,hdb)
  )

Add Trips

attr_flow <- left_join(
  attr_flow,
  flow_data,
  by = c("ori_grid", "desti_grid")) %>%
  select(
    -c(FlowNoIntra, offset)
  )

Remove NULL values

There are some routes from ori_grid to desti_grid that have 0 or NULL trips. These will be removed

attr_flow <- attr_flow %>%
  filter(!is.na(TRIPS) & TRIPS != 0)

Summary of attributes

summary(attr_flow)
    ori_grid       desti_grid       euc_dist      ori_mrt_exit   
 2634   :  286   2010   :  365   Min.   :   50   Min.   : 0.000  
 1849   :  285   1982   :  356   1st Qu.: 2704   1st Qu.: 0.000  
 2010   :  284   2009   :  343   Median : 5250   Median : 0.000  
 2038   :  283   1984   :  318   Mean   : 6220   Mean   : 1.272  
 1987   :  282   2634   :  300   3rd Qu.: 8649   3rd Qu.: 2.000  
 1990   :  281   1849   :  299   Max.   :25200   Max.   :19.000  
 (Other):64013   (Other):63733                                   
    ori_fnb           ori_hdb        desti_biz          desti_fs      
 Min.   :  0.000   Min.   : 0.00   Min.   :  0.000   Min.   :  0.000  
 1st Qu.:  0.000   1st Qu.: 0.00   1st Qu.:  0.000   1st Qu.:  0.000  
 Median :  0.000   Median : 9.00   Median :  1.000   Median :  3.000  
 Mean   :  5.154   Mean   :17.05   Mean   :  7.355   Mean   :  8.957  
 3rd Qu.:  2.000   3rd Qu.:31.00   3rd Qu.:  7.000   3rd Qu.:  9.000  
 Max.   :127.000   Max.   :75.00   Max.   :126.000   Max.   :176.000  
                                                                      
   desti_sch          TRIPS        
 Min.   :0.0000   Min.   :    1.0  
 1st Qu.:0.0000   1st Qu.:    7.0  
 Median :0.0000   Median :   37.0  
 Mean   :0.5574   Mean   :  394.6  
 3rd Qu.:1.0000   3rd Qu.:  182.0  
 Max.   :5.0000   Max.   :96644.0  
                                   

Note: Columns with prefix “ori” or “desti” have 0 values

Replacing 0 values

0 values in columns with prefix “ori” or “desti” will be replaced with a small value i.e. 0.99

attr_flow <- attr_flow %>%
  mutate_at(vars(ori_mrt_exit, ori_fnb, ori_hdb, desti_fs, desti_biz, desti_sch),
            ~ ifelse(. == 0, 0.99, .))

Check attr_flow again

summary(attr_flow)
    ori_grid       desti_grid       euc_dist      ori_mrt_exit   
 2634   :  286   2010   :  365   Min.   :   50   Min.   : 0.990  
 1849   :  285   1982   :  356   1st Qu.: 2704   1st Qu.: 0.990  
 2010   :  284   2009   :  343   Median : 5250   Median : 0.990  
 2038   :  283   1984   :  318   Mean   : 6220   Mean   : 1.872  
 1987   :  282   2634   :  300   3rd Qu.: 8649   3rd Qu.: 2.000  
 1990   :  281   1849   :  299   Max.   :25200   Max.   :19.000  
 (Other):64013   (Other):63733                                   
    ori_fnb           ori_hdb        desti_biz          desti_fs      
 Min.   :  0.990   Min.   : 0.99   Min.   :  0.990   Min.   :  0.990  
 1st Qu.:  0.990   1st Qu.: 0.99   1st Qu.:  0.990   1st Qu.:  0.990  
 Median :  0.990   Median : 9.00   Median :  1.000   Median :  3.000  
 Mean   :  5.713   Mean   :17.40   Mean   :  7.749   Mean   :  9.227  
 3rd Qu.:  2.000   3rd Qu.:31.00   3rd Qu.:  7.000   3rd Qu.:  9.000  
 Max.   :127.000   Max.   :75.00   Max.   :126.000   Max.   :176.000  
                                                                      
   desti_sch         TRIPS        
 Min.   :0.990   Min.   :    1.0  
 1st Qu.:0.990   1st Qu.:    7.0  
 Median :0.990   Median :   37.0  
 Mean   :1.173   Mean   :  394.6  
 3rd Qu.:1.000   3rd Qu.:  182.0  
 Max.   :5.000   Max.   :96644.0  
                                  

Save output indo rds

write_rds(attr_flow, "data/rds/sim_data.rds")

Linear Correlation between Trips and Propulsive Attributes

Train Station Exits

attr_flow %>%
      ggplot(
        aes(x = log(ori_mrt_exit),
            y = log(TRIPS))
      ) +
      geom_point(
        size = 1,
        alpha = .7
      ) +
      geom_smooth(method = lm) +
      theme(
        axis.text.x = element_blank()
      ) +
      ggtitle("Trips ~ Train Strain Station Exits")

Regression Equation

linear_model <- lm(log(TRIPS) ~ log(ori_mrt_exit), data = attr_flow)

intercept <- coef(linear_model)[1]
slope <- coef(linear_model)[2]

equation <- sprintf("log(TRIPS) = %.3f + %.3f * log(ori_mrt_exit)", intercept, slope)

cat("Regression Equation:\n", equation, "\n")
Regression Equation:
 log(TRIPS) = 3.593 + 0.141 * log(ori_mrt_exit) 
Statistical Conclusion

Given the regression equation: log(TRIPS) = 3.593 + 0.141 * log(ori_mrt_exit)

There seems to be a positive correlation between number of trips and the number of train station exits.

Food & Beverage Establishments

attr_flow %>%
      ggplot(
        aes(x = log(ori_fnb),
            y = log(TRIPS))
      ) +
      geom_point(
        size = 1,
        alpha = .7
      ) +
      geom_smooth(method = lm) +
      theme(
        axis.text.x = element_blank()
      ) +
      ggtitle("Trips ~ Food & Beverage Establishments")

Regression Equation

linear_model <- lm(log(TRIPS) ~ log(ori_fnb), data = attr_flow)

intercept <- coef(linear_model)[1]
slope <- coef(linear_model)[2]

equation <- sprintf("log(TRIPS) = %.3f + %.3f * log(ori_fnb)", intercept, slope)

cat("Regression Equation:\n", equation, "\n")
Regression Equation:
 log(TRIPS) = 3.686 + -0.076 * log(ori_fnb) 
Statistical Conclusion

Given the regression equation: log(TRIPS) = 3.686 + -0.076 * log(ori_fnb)

There seems to be a negative correlation between number of trips and the number of food & beverage establishments. Conversely to hypothesised, this is not a strong propulsive attribute.

Residential HDB buildings

attr_flow %>%
      ggplot(
        aes(x = log(ori_hdb),
            y = log(TRIPS))
      ) +
      geom_point(
        size = 1,
        alpha = .7
      ) +
      geom_smooth(method = lm) +
      theme(
        axis.text.x = element_blank()
      ) +
      ggtitle("Trips ~ Residential HDB buildings")

Regression Equation

linear_model <- lm(log(TRIPS) ~ log(ori_hdb), data = attr_flow)

intercept <- coef(linear_model)[1]
slope <- coef(linear_model)[2]

equation <- sprintf("log(TRIPS) = %.3f + %.3f * log(ori_hdb)", intercept, slope)

cat("Regression Equation:\n", equation, "\n")
Regression Equation:
 log(TRIPS) = 2.894 + 0.401 * log(ori_hdb) 
Statistical Conclusion

Given the regression equation: log(TRIPS) = 2.894 + 0.401 * log(ori_hdb)

There seems to be a negative correlation between number of trips and the number of residential HDB buildings.

Linear Correlation between Trips and Attractive Attributes

Financial Services

attr_flow %>%
      ggplot(
        aes(x = log(desti_fs),
            y = log(TRIPS))
      ) +
      geom_point(
        size = 1,
        alpha = .7
      ) +
      geom_smooth(method = lm) +
      theme(
        axis.text.x = element_blank()
      ) +
      ggtitle("Trips ~ Financial Services")

Regression Equation

linear_model <- lm(log(TRIPS) ~ log(desti_fs), data = attr_flow)

intercept <- coef(linear_model)[1]
slope <- coef(linear_model)[2]

equation <- sprintf("log(TRIPS) = %.3f + %.3f * log(desti_fs)", intercept, slope)

cat("Regression Equation:\n", equation, "\n")
Regression Equation:
 log(TRIPS) = 3.383 + 0.201 * log(desti_fs) 
Statistical Conclusion

Given the regression equation: log(TRIPS) = 3.383 + 0.201 * log(desti_fs)

There seems to be a positive correlation between number of trips and the number of financial services.

Businesses

attr_flow %>%
      ggplot(
        aes(x = log(desti_biz),
            y = log(TRIPS))
      ) +
      geom_point(
        size = 1,
        alpha = .7
      ) +
      geom_smooth(method = lm) +
      theme(
        axis.text.x = element_blank()
      ) +
      ggtitle("Trips ~ Businesses")

Regression Equation

linear_model <- lm(log(TRIPS) ~ log(desti_biz), data = attr_flow)

intercept <- coef(linear_model)[1]
slope <- coef(linear_model)[2]

equation <- sprintf("log(TRIPS) = %.3f + %.3f * log(desti_biz)", intercept, slope)

cat("Regression Equation:\n", equation, "\n")
Regression Equation:
 log(TRIPS) = 3.497 + 0.147 * log(desti_biz) 
Statistical Conclusion

Given the regression equation: log(TRIPS) = 3.497 + 0.147 * log(desti_biz)

There seems to be a positive correlation between number of trips and the number of businesses.

Schools

attr_flow %>%
      ggplot(
        aes(x = log(desti_sch),
            y = log(TRIPS))
      ) +
      geom_point(
        size = 1,
        alpha = .7
      ) +
      geom_smooth(method = lm) +
      theme(
        axis.text.x = element_blank()
      ) +
      ggtitle("Trips ~ Schools")

Regression Equation

linear_model <- lm(log(TRIPS) ~ log(desti_sch), data = attr_flow)

intercept <- coef(linear_model)[1]
slope <- coef(linear_model)[2]

equation <- sprintf("log(TRIPS) = %.3f + %.3f * log(desti_sch)", intercept, slope)

cat("Regression Equation:\n", equation, "\n")
Regression Equation:
 log(TRIPS) = 3.601 + 0.398 * log(desti_sch) 
Statistical Conclusion

Given the regression equation: log(TRIPS) = 3.601 + 0.398 * log(desti_sch)

There seems to be a positive correlation between number of trips and the number of schools.

Origin Constrained Model

-1 is used to exclude the intercept term from the Poisson regression model

oriSIM <- glm(
    formula = TRIPS ~ ori_grid 
            + log(desti_fs)
            + log(desti_biz) 
            + log(desti_sch)
            + log(euc_dist) - 1,
    family = poisson(link = "log"),
    data = attr_flow,
           na.action = na.exclude)

Results

summary(oriSIM)

Call:
glm(formula = TRIPS ~ ori_grid + log(desti_fs) + log(desti_biz) + 
    log(desti_sch) + log(euc_dist) - 1, family = poisson(link = "log"), 
    data = attr_flow, na.action = na.exclude)

Coefficients:
                 Estimate Std. Error   z value Pr(>|z|)    
ori_grid118     7.9993006  0.1270037    62.985  < 2e-16 ***
ori_grid146     8.8219009  0.1414248    62.379  < 2e-16 ***
ori_grid174     8.0716084  0.1507591    53.540  < 2e-16 ***
ori_grid175     7.3625230  0.1104358    66.668  < 2e-16 ***
ori_grid200     8.6428210  0.0803272   107.595  < 2e-16 ***
ori_grid201     9.0153388  0.0259005   348.076  < 2e-16 ***
ori_grid202     9.6799322  0.0226377   427.603  < 2e-16 ***
ori_grid203     8.7013294  0.0495765   175.513  < 2e-16 ***
ori_grid227     8.9581628  0.0642890   139.342  < 2e-16 ***
ori_grid228     8.8223807  0.0319083   276.492  < 2e-16 ***
ori_grid229     8.8299845  0.0762551   115.795  < 2e-16 ***
ori_grid230    10.4731274  0.0129393   809.404  < 2e-16 ***
ori_grid231     7.8670623  0.0685258   114.804  < 2e-16 ***
ori_grid254    11.2842132  0.0159448   707.703  < 2e-16 ***
ori_grid255     8.4496811  0.0672746   125.600  < 2e-16 ***
ori_grid256     7.9838775  0.0500059   159.659  < 2e-16 ***
ori_grid257    10.4202293  0.0184639   564.356  < 2e-16 ***
ori_grid258     8.2449289  0.0701923   117.462  < 2e-16 ***
ori_grid259     7.6409598  0.0491538   155.450  < 2e-16 ***
ori_grid281    10.0266114  0.0446423   224.599  < 2e-16 ***
ori_grid282     7.9826400  0.0515768   154.772  < 2e-16 ***
ori_grid284     8.4428890  0.0373804   225.864  < 2e-16 ***
ori_grid285    10.0527093  0.0158226   635.339  < 2e-16 ***
ori_grid286    11.6163756  0.0057876  2007.113  < 2e-16 ***
ori_grid312     7.9659439  0.0672739   118.411  < 2e-16 ***
ori_grid313     8.3468309  0.0496382   168.154  < 2e-16 ***
ori_grid314     8.3063658  0.0343901   241.534  < 2e-16 ***
ori_grid336     8.2745645  0.1324568    62.470  < 2e-16 ***
ori_grid338     8.4950047  0.0403974   210.286  < 2e-16 ***
ori_grid339    11.2022128  0.0071965  1556.627  < 2e-16 ***
ori_grid340     7.0423112  0.1443403    48.790  < 2e-16 ***
ori_grid366    11.6065089  0.0065671  1767.361  < 2e-16 ***
ori_grid367     8.8706745  0.0253900   349.377  < 2e-16 ***
ori_grid391     8.9129652  0.0863930   103.168  < 2e-16 ***
ori_grid392    11.3820675  0.0074935  1518.933  < 2e-16 ***
ori_grid393     8.9782725  0.0253009   354.860  < 2e-16 ***
ori_grid394     6.8865716  0.2425373    28.394  < 2e-16 ***
ori_grid419     7.9052244  0.0860713    91.845  < 2e-16 ***
ori_grid420     9.4347997  0.0310981   303.388  < 2e-16 ***
ori_grid421     8.1453118  0.1203898    67.658  < 2e-16 ***
ori_grid445     9.0617031  0.0310625   291.725  < 2e-16 ***
ori_grid446    10.2813969  0.0127661   805.370  < 2e-16 ***
ori_grid447     8.2536688  0.0555637   148.544  < 2e-16 ***
ori_grid472     8.0949491  0.1336340    60.576  < 2e-16 ***
ori_grid473     7.9750328  0.0486861   163.805  < 2e-16 ***
ori_grid474     7.8504729  0.0495139   158.551  < 2e-16 ***
ori_grid499     8.2232503  0.0421147   195.258  < 2e-16 ***
ori_grid500    10.8949741  0.0107010  1018.128  < 2e-16 ***
ori_grid526     8.9448282  0.0295241   302.967  < 2e-16 ***
ori_grid527     8.2637154  0.0492728   167.714  < 2e-16 ***
ori_grid528     9.4037749  0.0336468   279.485  < 2e-16 ***
ori_grid552     8.7645020  0.0547254   160.154  < 2e-16 ***
ori_grid553     6.7008530  0.1291027    51.903  < 2e-16 ***
ori_grid554     9.5857394  0.0365261   262.436  < 2e-16 ***
ori_grid555     8.4300890  0.0405965   207.656  < 2e-16 ***
ori_grid581     8.7027767  0.0302309   287.877  < 2e-16 ***
ori_grid582     8.8749175  0.0309785   286.486  < 2e-16 ***
ori_grid607     8.3685707  0.0424923   196.943  < 2e-16 ***
ori_grid608     8.9211877  0.0410757   217.189  < 2e-16 ***
ori_grid609    12.7460514  0.0025296  5038.683  < 2e-16 ***
ori_grid610     8.9224794  0.0534592   166.902  < 2e-16 ***
ori_grid611     7.2729761  0.2672629    27.213  < 2e-16 ***
ori_grid634     9.8822268  0.0342918   288.181  < 2e-16 ***
ori_grid635     7.3429944  0.0616676   119.074  < 2e-16 ***
ori_grid636     9.6833915  0.0136296   710.469  < 2e-16 ***
ori_grid638     9.1042937  0.0220851   412.237  < 2e-16 ***
ori_grid661     8.8374599  0.0578393   152.793  < 2e-16 ***
ori_grid662     8.6403977  0.0362807   238.154  < 2e-16 ***
ori_grid663     8.5835967  0.0236118   363.530  < 2e-16 ***
ori_grid664     8.2624950  0.0449962   183.627  < 2e-16 ***
ori_grid665    10.4548284  0.0124624   838.911  < 2e-16 ***
ori_grid689     8.4951813  0.0402032   211.306  < 2e-16 ***
ori_grid690     8.4747213  0.0316172   268.042  < 2e-16 ***
ori_grid692    10.5140247  0.0122983   854.918  < 2e-16 ***
ori_grid693    10.1312565  0.0249284   406.414  < 2e-16 ***
ori_grid715     8.6461754  0.0553075   156.329  < 2e-16 ***
ori_grid716     9.1639774  0.0361659   253.387  < 2e-16 ***
ori_grid717     9.4564936  0.0170680   554.048  < 2e-16 ***
ori_grid718    12.4583354  0.0033971  3667.331  < 2e-16 ***
ori_grid719    10.7371638  0.0178450   601.689  < 2e-16 ***
ori_grid720     6.1382717  0.2582004    23.773  < 2e-16 ***
ori_grid743     9.8057627  0.0239216   409.912  < 2e-16 ***
ori_grid744     8.9960770  0.0251313   357.964  < 2e-16 ***
ori_grid745    11.2205263  0.0057123  1964.274  < 2e-16 ***
ori_grid746    12.2967246  0.0035928  3422.588  < 2e-16 ***
ori_grid747     9.1536046  0.0229291   399.213  < 2e-16 ***
ori_grid748     7.6228831  0.0595530   128.002  < 2e-16 ***
ori_grid769     7.4815637  0.0648245   115.413  < 2e-16 ***
ori_grid770     9.0574025  0.0244458   370.510  < 2e-16 ***
ori_grid771    10.0377966  0.0110689   906.848  < 2e-16 ***
ori_grid772    12.2014341  0.0031346  3892.540  < 2e-16 ***
ori_grid773    10.9322279  0.0093296  1171.781  < 2e-16 ***
ori_grid774     8.9270946  0.0393243   227.012  < 2e-16 ***
ori_grid775     8.9988147  0.0252656   356.169  < 2e-16 ***
ori_grid776     6.8904416  0.2041263    33.756  < 2e-16 ***
ori_grid777     6.7085807  0.2085168    32.173  < 2e-16 ***
ori_grid797     8.4287737  0.0353409   238.499  < 2e-16 ***
ori_grid798     8.4847916  0.1078359    78.682  < 2e-16 ***
ori_grid799    12.2455058  0.0036231  3379.868  < 2e-16 ***
ori_grid800    12.5530381  0.0029068  4318.551  < 2e-16 ***
ori_grid802     7.2277981  0.0857540    84.285  < 2e-16 ***
ori_grid803     6.0836696  0.1301907    46.729  < 2e-16 ***
ori_grid805     7.4959300  0.0975943    76.807  < 2e-16 ***
ori_grid806     9.1551939  0.0435720   210.116  < 2e-16 ***
ori_grid823     8.6478893  0.0559080   154.681  < 2e-16 ***
ori_grid824     8.5541210  0.0523492   163.405  < 2e-16 ***
ori_grid825     9.7230421  0.0209492   464.125  < 2e-16 ***
ori_grid826    12.9021827  0.0018015  7161.787  < 2e-16 ***
ori_grid827    12.1681331  0.0036818  3304.897  < 2e-16 ***
ori_grid832     5.7955091  1.0000005     5.796 6.81e-09 ***
ori_grid833     7.0740178  0.1280403    55.248  < 2e-16 ***
ori_grid851     7.1428670  0.0980616    72.841  < 2e-16 ***
ori_grid852     9.5021669  0.0211271   449.762  < 2e-16 ***
ori_grid853    10.0650429  0.0088638  1135.522  < 2e-16 ***
ori_grid854    11.3504721  0.0044994  2522.653  < 2e-16 ***
ori_grid856     6.1198825  0.2041261    29.981  < 2e-16 ***
ori_grid861     7.3986567  0.1091129    67.807  < 2e-16 ***
ori_grid862     8.4169686  0.1010210    83.319  < 2e-16 ***
ori_grid878     8.3662974  0.0381035   219.568  < 2e-16 ***
ori_grid879     8.7764650  0.0249192   352.197  < 2e-16 ***
ori_grid880    10.4077465  0.0062159  1674.369  < 2e-16 ***
ori_grid881    10.1415399  0.0107768   941.055  < 2e-16 ***
ori_grid888     7.2240048  0.1856983    38.902  < 2e-16 ***
ori_grid889     9.0233632  0.0591406   152.575  < 2e-16 ***
ori_grid905     8.0071054  0.0448621   178.483  < 2e-16 ***
ori_grid906     6.5355150  0.1270032    51.459  < 2e-16 ***
ori_grid907     8.7925819  0.0238835   368.144  < 2e-16 ***
ori_grid908    12.1205621  0.0029512  4106.944  < 2e-16 ***
ori_grid910     7.7761849  0.0658020   118.175  < 2e-16 ***
ori_grid932     9.3807426  0.0171894   545.727  < 2e-16 ***
ori_grid933     9.8201124  0.0147071   667.711  < 2e-16 ***
ori_grid934    10.8775805  0.0057115  1904.498  < 2e-16 ***
ori_grid935    11.6653882  0.0037665  3097.144  < 2e-16 ***
ori_grid937    11.5467115  0.0066579  1734.278  < 2e-16 ***
ori_grid959     9.8865416  0.0147353   670.945  < 2e-16 ***
ori_grid960    10.6017269  0.0065364  1621.942  < 2e-16 ***
ori_grid961    11.6806772  0.0038322  3048.024  < 2e-16 ***
ori_grid962    12.2441109  0.0028775  4255.090  < 2e-16 ***
ori_grid986     7.3543642  0.0894469    82.220  < 2e-16 ***
ori_grid987    11.6532983  0.0037111  3140.113  < 2e-16 ***
ori_grid988    11.0774988  0.0064183  1725.926  < 2e-16 ***
ori_grid989    11.9389069  0.0031615  3776.399  < 2e-16 ***
ori_grid991     8.4870635  0.0317432   267.367  < 2e-16 ***
ori_grid1013    7.4075864  0.1042610    71.049  < 2e-16 ***
ori_grid1014    9.7831170  0.0105779   924.866  < 2e-16 ***
ori_grid1015   10.9277245  0.0073351  1489.779  < 2e-16 ***
ori_grid1016   10.9075400  0.0049646  2197.053  < 2e-16 ***
ori_grid1042   10.8340830  0.0081187  1334.466  < 2e-16 ***
ori_grid1043   11.1853778  0.0047089  2375.387  < 2e-16 ***
ori_grid1045    8.5131596  0.0403341   211.066  < 2e-16 ***
ori_grid1067    9.8401047  0.0143137   687.460  < 2e-16 ***
ori_grid1068    9.1480847  0.0263855   346.709  < 2e-16 ***
ori_grid1069    8.6540071  0.0194327   445.332  < 2e-16 ***
ori_grid1070   11.5597255  0.0034836  3318.340  < 2e-16 ***
ori_grid1078    7.7763316  0.0743354   104.611  < 2e-16 ***
ori_grid1093    7.9033694  0.0435261   181.578  < 2e-16 ***
ori_grid1094   10.9815572  0.0064162  1711.533  < 2e-16 ***
ori_grid1095    8.1957115  0.0274975   298.053  < 2e-16 ***
ori_grid1096   11.3347872  0.0040744  2781.961  < 2e-16 ***
ori_grid1097   11.6467143  0.0051007  2283.335  < 2e-16 ***
ori_grid1099   12.7502767  0.0029273  4355.599  < 2e-16 ***
ori_grid1100    9.6718886  0.0411429   235.080  < 2e-16 ***
ori_grid1122   11.7170611  0.0041453  2826.565  < 2e-16 ***
ori_grid1123   11.7939660  0.0026966  4373.597  < 2e-16 ***
ori_grid1124   11.1821647  0.0045539  2455.518  < 2e-16 ***
ori_grid1125   12.0402052  0.0042464  2835.408  < 2e-16 ***
ori_grid1126   11.2229146  0.0130280   861.449  < 2e-16 ***
ori_grid1127   11.9027033  0.0036819  3232.720  < 2e-16 ***
ori_grid1128   12.1794821  0.0052747  2309.049  < 2e-16 ***
ori_grid1132    6.1459977  0.2425371    25.340  < 2e-16 ***
ori_grid1147    6.7553945  0.0793085    85.179  < 2e-16 ***
ori_grid1148   10.1267558  0.0086587  1169.552  < 2e-16 ***
ori_grid1149    9.1566869  0.0122725   746.115  < 2e-16 ***
ori_grid1150   12.0161452  0.0029368  4091.561  < 2e-16 ***
ori_grid1151   11.5288141  0.0036126  3191.256  < 2e-16 ***
ori_grid1152   11.5658197  0.0044190  2617.298  < 2e-16 ***
ori_grid1153   12.9745161  0.0034983  3708.788  < 2e-16 ***
ori_grid1154   12.0972336  0.0027698  4367.494  < 2e-16 ***
ori_grid1155    9.6043112  0.0289531   331.720  < 2e-16 ***
ori_grid1158   10.0223662  0.0149675   669.607  < 2e-16 ***
ori_grid1174    8.1944012  0.0371980   220.291  < 2e-16 ***
ori_grid1175    8.8402841  0.0314891   280.741  < 2e-16 ***
ori_grid1176   10.5149946  0.0056157  1872.436  < 2e-16 ***
ori_grid1177    9.7166626  0.0092779  1047.294  < 2e-16 ***
ori_grid1178   11.6034025  0.0039381  2946.433  < 2e-16 ***
ori_grid1179   11.1526270  0.0053581  2081.461  < 2e-16 ***
ori_grid1180   10.5200936  0.0074655  1409.152  < 2e-16 ***
ori_grid1181   11.5818802  0.0037797  3064.241  < 2e-16 ***
ori_grid1182   12.2332757  0.0044941  2722.059  < 2e-16 ***
ori_grid1183   12.5055928  0.0051051  2449.637  < 2e-16 ***
ori_grid1185    8.9500854  0.0256602   348.792  < 2e-16 ***
ori_grid1201    9.0008152  0.0327861   274.532  < 2e-16 ***
ori_grid1202   10.4823686  0.0071226  1471.702  < 2e-16 ***
ori_grid1203    9.2289337  0.0140199   658.275  < 2e-16 ***
ori_grid1205   11.9127565  0.0026806  4444.005  < 2e-16 ***
ori_grid1206   11.3322995  0.0048445  2339.213  < 2e-16 ***
ori_grid1207   10.8761227  0.0052804  2059.727  < 2e-16 ***
ori_grid1209   12.8080826  0.0035455  3612.513  < 2e-16 ***
ori_grid1210    8.8930909  0.0274718   323.717  < 2e-16 ***
ori_grid1211    8.6492327  0.0292322   295.880  < 2e-16 ***
ori_grid1212    8.6207749  0.0375920   229.325  < 2e-16 ***
ori_grid1228    8.3450231  0.0449105   185.815  < 2e-16 ***
ori_grid1229    9.0477502  0.0163557   553.187  < 2e-16 ***
ori_grid1230   10.4795936  0.0065926  1589.589  < 2e-16 ***
ori_grid1231   11.8472980  0.0057826  2048.771  < 2e-16 ***
ori_grid1232   11.6571528  0.0031194  3736.945  < 2e-16 ***
ori_grid1233   11.6449334  0.0056608  2057.130  < 2e-16 ***
ori_grid1235   11.5978984  0.0043940  2639.493  < 2e-16 ***
ori_grid1236   10.2009352  0.0082547  1235.766  < 2e-16 ***
ori_grid1237   10.6919398  0.0070997  1505.974  < 2e-16 ***
ori_grid1238    8.6304351  0.0313863   274.975  < 2e-16 ***
ori_grid1239    7.2419644  0.0783306    92.454  < 2e-16 ***
ori_grid1240    7.5564532  0.1270035    59.498  < 2e-16 ***
ori_grid1255   10.2488520  0.0127206   805.691  < 2e-16 ***
ori_grid1256    9.9319846  0.0095573  1039.209  < 2e-16 ***
ori_grid1257    9.0540603  0.0161027   562.269  < 2e-16 ***
ori_grid1258   10.6076590  0.0069838  1518.903  < 2e-16 ***
ori_grid1259   11.6024794  0.0039598  2930.071  < 2e-16 ***
ori_grid1261   11.3448300  0.0041512  2732.879  < 2e-16 ***
ori_grid1262   11.4110864  0.0041743  2733.659  < 2e-16 ***
ori_grid1263    8.8768601  0.0190589   465.758  < 2e-16 ***
ori_grid1264    9.7724141  0.0129465   754.830  < 2e-16 ***
ori_grid1265    7.9060192  0.0341692   231.379  < 2e-16 ***
ori_grid1266    9.6873814  0.0226388   427.911  < 2e-16 ***
ori_grid1282   10.3188301  0.0112065   920.791  < 2e-16 ***
ori_grid1283   11.0213701  0.0043979  2506.059  < 2e-16 ***
ori_grid1284   10.8294972  0.0057981  1867.753  < 2e-16 ***
ori_grid1285    9.5273961  0.0124466   765.463  < 2e-16 ***
ori_grid1286   10.7310969  0.0050138  2140.306  < 2e-16 ***
ori_grid1287   10.9016515  0.0062068  1756.418  < 2e-16 ***
ori_grid1288    8.7036624  0.0171033   508.889  < 2e-16 ***
ori_grid1289   11.4218310  0.0035018  3261.738  < 2e-16 ***
ori_grid1293    7.8088282  0.0695107   112.340  < 2e-16 ***
ori_grid1308    9.2929668  0.0139184   667.677  < 2e-16 ***
ori_grid1309   11.5138500  0.0036557  3149.535  < 2e-16 ***
ori_grid1310   12.3910608  0.0019477  6361.738  < 2e-16 ***
ori_grid1311    9.6329481  0.0199123   483.768  < 2e-16 ***
ori_grid1312    9.6975893  0.0132337   732.795  < 2e-16 ***
ori_grid1314   10.3473551  0.0079012  1309.600  < 2e-16 ***
ori_grid1315   11.5923462  0.0030561  3793.220  < 2e-16 ***
ori_grid1316   10.9074867  0.0082586  1320.736  < 2e-16 ***
ori_grid1318    8.2747715  0.0466804   177.264  < 2e-16 ***
ori_grid1319   12.1424779  0.0033955  3576.012  < 2e-16 ***
ori_grid1320   10.9045156  0.0092043  1184.725  < 2e-16 ***
ori_grid1335    6.4161498  0.1581168    40.579  < 2e-16 ***
ori_grid1336   10.3163477  0.0070206  1469.448  < 2e-16 ***
ori_grid1337   11.4799801  0.0030300  3788.749  < 2e-16 ***
ori_grid1338   11.1361803  0.0063387  1756.865  < 2e-16 ***
ori_grid1339    9.5327628  0.0224568   424.493  < 2e-16 ***
ori_grid1340    9.0912799  0.0133092   683.084  < 2e-16 ***
ori_grid1341   10.6363825  0.0056502  1882.478  < 2e-16 ***
ori_grid1342    9.3983637  0.0112165   837.902  < 2e-16 ***
ori_grid1343   11.5672346  0.0041135  2812.033  < 2e-16 ***
ori_grid1347    8.7811332  0.0300283   292.428  < 2e-16 ***
ori_grid1348   12.4282176  0.0031704  3920.084  < 2e-16 ***
ori_grid1350   13.7825260  0.0032736  4210.155  < 2e-16 ***
ori_grid1362    9.7776500  0.0083836  1166.278  < 2e-16 ***
ori_grid1363   10.6754403  0.0058534  1823.797  < 2e-16 ***
ori_grid1364   10.8069535  0.0049855  2167.680  < 2e-16 ***
ori_grid1366   10.9270552  0.0049942  2187.958  < 2e-16 ***
ori_grid1367    8.9401731  0.0160589   556.711  < 2e-16 ***
ori_grid1368    9.6900390  0.0111530   868.831  < 2e-16 ***
ori_grid1369   11.8743800  0.0032047  3705.256  < 2e-16 ***
ori_grid1370   12.6677058  0.0036501  3470.532  < 2e-16 ***
ori_grid1372    7.8044368  0.1666687    46.826  < 2e-16 ***
ori_grid1374   10.5288527  0.0069043  1524.981  < 2e-16 ***
ori_grid1375   13.2628688  0.0024239  5471.805  < 2e-16 ***
ori_grid1389    9.9105630  0.0085500  1159.134  < 2e-16 ***
ori_grid1390    8.6418921  0.0242886   355.800  < 2e-16 ***
ori_grid1391    9.4204675  0.0110501   852.525  < 2e-16 ***
ori_grid1392   10.1552246  0.0070673  1436.922  < 2e-16 ***
ori_grid1394   10.1484294  0.0077921  1302.406  < 2e-16 ***
ori_grid1396   11.2068296  0.0070410  1591.650  < 2e-16 ***
ori_grid1397   11.0965019  0.0069642  1593.370  < 2e-16 ***
ori_grid1401   11.6000944  0.0037272  3112.263  < 2e-16 ***
ori_grid1402   11.9743013  0.0036236  3304.540  < 2e-16 ***
ori_grid1416    6.9873999  0.1825759    38.271  < 2e-16 ***
ori_grid1417    8.7319813  0.0220210   396.529  < 2e-16 ***
ori_grid1418   10.0875733  0.0116041   869.311  < 2e-16 ***
ori_grid1419    9.4993266  0.0102928   922.907  < 2e-16 ***
ori_grid1420   10.9370001  0.0041836  2614.283  < 2e-16 ***
ori_grid1422    8.3061260  0.0314459   264.140  < 2e-16 ***
ori_grid1423   12.6983744  0.0048784  2602.994  < 2e-16 ***
ori_grid1426    9.7077030  0.0171282   566.768  < 2e-16 ***
ori_grid1428   11.2500882  0.0047550  2365.931  < 2e-16 ***
ori_grid1429   11.4636802  0.0057525  1992.805  < 2e-16 ***
ori_grid1443    8.9851132  0.0141841   633.463  < 2e-16 ***
ori_grid1444    7.9174147  0.0262760   301.317  < 2e-16 ***
ori_grid1445   10.8529030  0.0053542  2026.983  < 2e-16 ***
ori_grid1446    9.4715643  0.0117738   804.462  < 2e-16 ***
ori_grid1447   10.6330260  0.0048058  2212.551  < 2e-16 ***
ori_grid1455   11.0982662  0.0073491  1510.144  < 2e-16 ***
ori_grid1456   11.8686387  0.0044161  2687.557  < 2e-16 ***
ori_grid1457    7.6787427  0.0496958   154.515  < 2e-16 ***
ori_grid1469   11.2369063  0.0043796  2565.763  < 2e-16 ***
ori_grid1470   10.6447054  0.0056636  1879.508  < 2e-16 ***
ori_grid1471   11.2506769  0.0038511  2921.447  < 2e-16 ***
ori_grid1472    9.3741439  0.0110220   850.494  < 2e-16 ***
ori_grid1480    6.5680904  0.1386781    47.362  < 2e-16 ***
ori_grid1482   11.2618190  0.0042591  2644.193  < 2e-16 ***
ori_grid1483   12.0632549  0.0062955  1916.172  < 2e-16 ***
ori_grid1496    9.0728057  0.0136651   663.938  < 2e-16 ***
ori_grid1497    7.8878636  0.0484553   162.786  < 2e-16 ***
ori_grid1498    9.9628481  0.0079805  1248.401  < 2e-16 ***
ori_grid1499   10.7823693  0.0053251  2024.830  < 2e-16 ***
ori_grid1500    8.3355010  0.0247423   336.893  < 2e-16 ***
ori_grid1501   10.1077894  0.0068065  1485.019  < 2e-16 ***
ori_grid1507    8.1995616  0.0628762   130.408  < 2e-16 ***
ori_grid1509   11.0775165  0.0072400  1530.040  < 2e-16 ***
ori_grid1510   12.8512293  0.0019646  6541.336  < 2e-16 ***
ori_grid1511   11.1592426  0.0100968  1105.221  < 2e-16 ***
ori_grid1523    8.6012261  0.0458915   187.425  < 2e-16 ***
ori_grid1524    8.4552449  0.0363286   232.743  < 2e-16 ***
ori_grid1525   11.3389525  0.0033409  3394.019  < 2e-16 ***
ori_grid1526    8.7590894  0.0151157   579.472  < 2e-16 ***
ori_grid1527    7.8348551  0.0507755   154.304  < 2e-16 ***
ori_grid1534    6.6057973  0.0971311    68.009  < 2e-16 ***
ori_grid1536   12.1377582  0.0038268  3171.788  < 2e-16 ***
ori_grid1537   11.3095513  0.0060842  1858.831  < 2e-16 ***
ori_grid1550   10.0112473  0.0081016  1235.710  < 2e-16 ***
ori_grid1551    8.3378513  0.0203618   409.485  < 2e-16 ***
ori_grid1552    8.4182048  0.0222867   377.724  < 2e-16 ***
ori_grid1553   10.3013708  0.0054251  1898.847  < 2e-16 ***
ori_grid1554    9.1510162  0.0139262   657.106  < 2e-16 ***
ori_grid1555    8.8541242  0.0129991   681.132  < 2e-16 ***
ori_grid1562    8.5162973  0.0598766   142.231  < 2e-16 ***
ori_grid1563   11.2963181  0.0070913  1592.976  < 2e-16 ***
ori_grid1564   12.6270016  0.0028690  4401.111  < 2e-16 ***
ori_grid1565   10.8694328  0.0094742  1147.268  < 2e-16 ***
ori_grid1576    9.2236911  0.0269963   341.664  < 2e-16 ***
ori_grid1578    9.1444531  0.0106885   855.545  < 2e-16 ***
ori_grid1579   11.4083932  0.0033508  3404.628  < 2e-16 ***
ori_grid1581   10.1824595  0.0061898  1645.034  < 2e-16 ***
ori_grid1588    8.1557256  0.1031466    79.069  < 2e-16 ***
ori_grid1590   12.5299832  0.0031847  3934.427  < 2e-16 ***
ori_grid1591   12.3244632  0.0034655  3556.368  < 2e-16 ***
ori_grid1592    9.0962132  0.0285854   318.212  < 2e-16 ***
ori_grid1604    9.5185174  0.0087228  1091.218  < 2e-16 ***
ori_grid1605   10.6172152  0.0045574  2329.666  < 2e-16 ***
ori_grid1606   10.1997025  0.0056795  1795.884  < 2e-16 ***
ori_grid1607    9.3534403  0.0091650  1020.559  < 2e-16 ***
ori_grid1616    8.4820841  0.0474134   178.896  < 2e-16 ***
ori_grid1617   11.1835319  0.0095359  1172.785  < 2e-16 ***
ori_grid1618   12.5119570  0.0029407  4254.728  < 2e-16 ***
ori_grid1619   11.2997279  0.0062906  1796.274  < 2e-16 ***
ori_grid1620    8.9315459  0.0251778   354.739  < 2e-16 ***
ori_grid1630    8.7231703  0.0144007   605.748  < 2e-16 ***
ori_grid1631    9.7818335  0.0078697  1242.971  < 2e-16 ***
ori_grid1632   10.9042734  0.0045853  2378.081  < 2e-16 ***
ori_grid1633    9.6794469  0.0092217  1049.635  < 2e-16 ***
ori_grid1634   10.6765934  0.0051362  2078.686  < 2e-16 ***
ori_grid1635    8.6708698  0.0142575   608.163  < 2e-16 ***
ori_grid1642    7.7854677  0.1036992    75.077  < 2e-16 ***
ori_grid1644   11.6492016  0.0060911  1912.483  < 2e-16 ***
ori_grid1645   12.2310755  0.0037150  3292.385  < 2e-16 ***
ori_grid1646   10.1525060  0.0116229   873.491  < 2e-16 ***
ori_grid1647    6.1153439  0.4472146    13.674  < 2e-16 ***
ori_grid1658   11.4554203  0.0051640  2218.332  < 2e-16 ***
ori_grid1659   10.7291324  0.0044159  2429.637  < 2e-16 ***
ori_grid1660    9.9878881  0.0122133   817.785  < 2e-16 ***
ori_grid1661    9.2349538  0.0115538   799.303  < 2e-16 ***
ori_grid1662   10.2970190  0.0057582  1788.230  < 2e-16 ***
ori_grid1669    6.4889427  0.1889844    34.336  < 2e-16 ***
ori_grid1670    7.8140320  0.0916751    85.236  < 2e-16 ***
ori_grid1672   11.5918908  0.0087645  1322.595  < 2e-16 ***
ori_grid1673   10.6539111  0.0136688   779.432  < 2e-16 ***
ori_grid1674   10.1467892  0.0123641   820.667  < 2e-16 ***
ori_grid1684   11.0402559  0.0040120  2751.788  < 2e-16 ***
ori_grid1685   10.2625546  0.0066267  1548.665  < 2e-16 ***
ori_grid1686   10.7794490  0.0047020  2292.525  < 2e-16 ***
ori_grid1687    8.1190446  0.0206669   392.853  < 2e-16 ***
ori_grid1688    8.1341475  0.0185969   437.394  < 2e-16 ***
ori_grid1689    7.9147305  0.0475758   166.360  < 2e-16 ***
ori_grid1695    6.2385705  0.2236086    27.900  < 2e-16 ***
ori_grid1699   11.3423342  0.0058455  1940.364  < 2e-16 ***
ori_grid1700    7.9446740  0.0588307   135.043  < 2e-16 ***
ori_grid1701    9.3377572  0.0334576   279.092  < 2e-16 ***
ori_grid1712   10.3062149  0.0071966  1432.096  < 2e-16 ***
ori_grid1713   11.2110037  0.0033477  3348.887  < 2e-16 ***
ori_grid1714    8.9781917  0.0184352   487.013  < 2e-16 ***
ori_grid1716    9.9501390  0.0064458  1543.654  < 2e-16 ***
ori_grid1723    8.9139220  0.0463827   192.182  < 2e-16 ***
ori_grid1726    9.0071715  0.0298974   301.269  < 2e-16 ***
ori_grid1727   12.3641632  0.0038782  3188.081  < 2e-16 ***
ori_grid1728    9.6917077  0.0133390   726.572  < 2e-16 ***
ori_grid1738    9.4628969  0.0085173  1111.020  < 2e-16 ***
ori_grid1739   10.5795913  0.0044117  2398.065  < 2e-16 ***
ori_grid1740    9.5235302  0.0094904  1003.486  < 2e-16 ***
ori_grid1741    9.6390583  0.0089350  1078.797  < 2e-16 ***
ori_grid1743    8.1829828  0.0338014   242.090  < 2e-16 ***
ori_grid1744    6.5682844  0.1360862    48.266  < 2e-16 ***
ori_grid1748    5.8423001  0.1767791    33.049  < 2e-16 ***
ori_grid1749   11.0864418  0.0056848  1950.188  < 2e-16 ***
ori_grid1753   12.0628516  0.0031034  3886.983  < 2e-16 ***
ori_grid1754   11.1104426  0.0062014  1791.589  < 2e-16 ***
ori_grid1765   11.0679870  0.0038614  2866.331  < 2e-16 ***
ori_grid1766   11.4284305  0.0037729  3029.058  < 2e-16 ***
ori_grid1767   11.0658269  0.0039110  2829.378  < 2e-16 ***
ori_grid1768    7.8413494  0.0313560   250.075  < 2e-16 ***
ori_grid1770    8.6428095  0.0154791   558.354  < 2e-16 ***
ori_grid1771    7.2472839  0.0476271   152.167  < 2e-16 ***
ori_grid1776    6.4938684  0.1240382    52.354  < 2e-16 ***
ori_grid1777    9.9236393  0.0108740   912.601  < 2e-16 ***
ori_grid1778    8.0619606  0.0341135   236.328  < 2e-16 ***
ori_grid1780   10.3050360  0.0149982   687.086  < 2e-16 ***
ori_grid1781   11.8471415  0.0038905  3045.122  < 2e-16 ***
ori_grid1792   10.6617038  0.0050228  2122.649  < 2e-16 ***
ori_grid1793   11.3927784  0.0031633  3601.585  < 2e-16 ***
ori_grid1794   10.2563798  0.0059502  1723.696  < 2e-16 ***
ori_grid1795    9.2378343  0.0097855   944.034  < 2e-16 ***
ori_grid1796    9.9683095  0.0086849  1147.777  < 2e-16 ***
ori_grid1798    5.7350135  0.1561766    36.721  < 2e-16 ***
ori_grid1800    8.3734215  0.0352366   237.634  < 2e-16 ***
ori_grid1802    7.1369480  0.0615533   115.947  < 2e-16 ***
ori_grid1804    6.3610266  0.1170448    54.347  < 2e-16 ***
ori_grid1805    9.8070690  0.0110848   884.729  < 2e-16 ***
ori_grid1806   10.9550032  0.0059382  1844.827  < 2e-16 ***
ori_grid1807   11.1945604  0.0051762  2162.707  < 2e-16 ***
ori_grid1808    9.0445334  0.0316672   285.612  < 2e-16 ***
ori_grid1820   10.7680187  0.0044783  2404.476  < 2e-16 ***
ori_grid1821   11.5140192  0.0029586  3891.670  < 2e-16 ***
ori_grid1822    9.5234960  0.0089720  1061.468  < 2e-16 ***
ori_grid1823    9.5391112  0.0116488   818.889  < 2e-16 ***
ori_grid1824   10.3391688  0.0055247  1871.430  < 2e-16 ***
ori_grid1827   10.3646941  0.0066474  1559.203  < 2e-16 ***
ori_grid1828    9.8308457  0.0089757  1095.273  < 2e-16 ***
ori_grid1829    9.7394367  0.0107158   908.883  < 2e-16 ***
ori_grid1831    8.9173042  0.0176256   505.930  < 2e-16 ***
ori_grid1833   11.8118687  0.0032997  3579.639  < 2e-16 ***
ori_grid1834   10.7541505  0.0066036  1628.539  < 2e-16 ***
ori_grid1835   11.4880051  0.0054797  2096.481  < 2e-16 ***
ori_grid1846    6.9375105  0.0497596   139.421  < 2e-16 ***
ori_grid1847   10.7406133  0.0089528  1199.688  < 2e-16 ***
ori_grid1848   10.1904733  0.0056387  1807.241  < 2e-16 ***
ori_grid1849   10.6220731  0.0038270  2775.554  < 2e-16 ***
ori_grid1850    9.9445730  0.0092139  1079.297  < 2e-16 ***
ori_grid1852    7.1073850  0.0471506   150.738  < 2e-16 ***
ori_grid1853    9.9005896  0.0076358  1296.601  < 2e-16 ***
ori_grid1854    9.7763757  0.0094027  1039.742  < 2e-16 ***
ori_grid1855    9.5397790  0.0110513   863.229  < 2e-16 ***
ori_grid1856    8.7990851  0.0605290   145.370  < 2e-16 ***
ori_grid1857    6.4718964  0.1154748    56.046  < 2e-16 ***
ori_grid1858   10.0194597  0.0080072  1251.307  < 2e-16 ***
ori_grid1859   11.2549767  0.0055827  2016.035  < 2e-16 ***
ori_grid1860   11.6286282  0.0042865  2712.864  < 2e-16 ***
ori_grid1861   12.5476941  0.0040335  3110.885  < 2e-16 ***
ori_grid1862    8.5607296  0.0407678   209.988  < 2e-16 ***
ori_grid1874   10.2888329  0.0052758  1950.189  < 2e-16 ***
ori_grid1875   10.4993947  0.0047413  2214.443  < 2e-16 ***
ori_grid1876    8.2669086  0.0191277   432.197  < 2e-16 ***
ori_grid1877   10.1678697  0.0065225  1558.899  < 2e-16 ***
ori_grid1878    9.0503313  0.0126625   714.736  < 2e-16 ***
ori_grid1879    8.5944038  0.0151839   566.022  < 2e-16 ***
ori_grid1882   11.0232190  0.0048517  2272.048  < 2e-16 ***
ori_grid1883   10.6634998  0.0064621  1650.163  < 2e-16 ***
ori_grid1884    9.5402783  0.0141021   676.512  < 2e-16 ***
ori_grid1886   12.0074394  0.0026651  4505.360  < 2e-16 ***
ori_grid1887   12.0604950  0.0025835  4668.218  < 2e-16 ***
ori_grid1888   10.9357774  0.0067997  1608.269  < 2e-16 ***
ori_grid1889    8.8487014  0.0559084   158.271  < 2e-16 ***
ori_grid1890    9.5299762  0.0406991   234.157  < 2e-16 ***
ori_grid1900    8.9958346  0.0141397   636.210  < 2e-16 ***
ori_grid1901   10.4777456  0.0045162  2320.049  < 2e-16 ***
ori_grid1902   10.0552978  0.0074034  1358.195  < 2e-16 ***
ori_grid1903    9.3652970  0.0145522   643.565  < 2e-16 ***
ori_grid1904   10.0360586  0.0072681  1380.840  < 2e-16 ***
ori_grid1905    9.5371635  0.0080651  1182.528  < 2e-16 ***
ori_grid1906    9.7694935  0.0073557  1328.150  < 2e-16 ***
ori_grid1907   10.5034022  0.0052709  1992.697  < 2e-16 ***
ori_grid1908   10.3936890  0.0078233  1328.549  < 2e-16 ***
ori_grid1909   11.8052003  0.0039608  2980.484  < 2e-16 ***
ori_grid1910   10.2477339  0.0083625  1225.440  < 2e-16 ***
ori_grid1912   10.0059071  0.0153729   650.881  < 2e-16 ***
ori_grid1913   10.8465226  0.0062681  1730.434  < 2e-16 ***
ori_grid1914   11.9667941  0.0034982  3420.841  < 2e-16 ***
ori_grid1916   10.6074589  0.0155241   683.292  < 2e-16 ***
ori_grid1928   10.2582171  0.0055015  1864.610  < 2e-16 ***
ori_grid1929    9.9722566  0.0061920  1610.495  < 2e-16 ***
ori_grid1930    9.5996676  0.0065566  1464.129  < 2e-16 ***
ori_grid1931    9.7072987  0.0074454  1303.793  < 2e-16 ***
ori_grid1932   10.1744055  0.0060764  1674.404  < 2e-16 ***
ori_grid1933   10.6564309  0.0079821  1335.037  < 2e-16 ***
ori_grid1934    8.6727656  0.0126480   685.704  < 2e-16 ***
ori_grid1935   10.8682830  0.0046713  2326.593  < 2e-16 ***
ori_grid1936   11.3159827  0.0043806  2583.194  < 2e-16 ***
ori_grid1937   10.7350962  0.0053765  1996.685  < 2e-16 ***
ori_grid1938    7.8063122  0.0406679   191.953  < 2e-16 ***
ori_grid1940   12.4806081  0.0032168  3879.774  < 2e-16 ***
ori_grid1941   11.5812010  0.0049373  2345.641  < 2e-16 ***
ori_grid1942   10.8570070  0.0093896  1156.279  < 2e-16 ***
ori_grid1954    9.2119213  0.0139974   658.115  < 2e-16 ***
ori_grid1955   10.4505435  0.0047152  2216.353  < 2e-16 ***
ori_grid1956    9.4372045  0.0090453  1043.326  < 2e-16 ***
ori_grid1958   10.6185826  0.0048085  2208.274  < 2e-16 ***
ori_grid1959   11.0804621  0.0034555  3206.625  < 2e-16 ***
ori_grid1960   11.4352953  0.0046551  2456.528  < 2e-16 ***
ori_grid1961   10.9849167  0.0043156  2545.369  < 2e-16 ***
ori_grid1962   11.3617134  0.0036923  3077.173  < 2e-16 ***
ori_grid1963   10.4175182  0.0057270  1819.014  < 2e-16 ***
ori_grid1964    9.8423001  0.0087291  1127.525  < 2e-16 ***
ori_grid1967   12.5817207  0.0030202  4165.863  < 2e-16 ***
ori_grid1968   12.3531820  0.0040381  3059.187  < 2e-16 ***
ori_grid1982    9.3601918  0.0079952  1170.731  < 2e-16 ***
ori_grid1983    9.8339281  0.0058891  1669.859  < 2e-16 ***
ori_grid1984   10.6773522  0.0037644  2836.403  < 2e-16 ***
ori_grid1985    9.5628579  0.0083580  1144.152  < 2e-16 ***
ori_grid1986   10.6625028  0.0056018  1903.401  < 2e-16 ***
ori_grid1987   11.8020631  0.0023315  5062.011  < 2e-16 ***
ori_grid1988   10.1686420  0.0055678  1826.333  < 2e-16 ***
ori_grid1989   11.2667132  0.0036964  3048.050  < 2e-16 ***
ori_grid1990   12.1452165  0.0021206  5727.389  < 2e-16 ***
ori_grid1991   12.1218411  0.0029099  4165.689  < 2e-16 ***
ori_grid1992    9.2143114  0.0144180   639.086  < 2e-16 ***
ori_grid1994   11.0979088  0.0081311  1364.875  < 2e-16 ***
ori_grid1995   12.7479394  0.0032712  3896.977  < 2e-16 ***
ori_grid2009    9.1260055  0.0086236  1058.263  < 2e-16 ***
ori_grid2010   10.0088233  0.0051495  1943.656  < 2e-16 ***
ori_grid2011   10.8703738  0.0036232  3000.209  < 2e-16 ***
ori_grid2012   10.2265382  0.0063884  1600.795  < 2e-16 ***
ori_grid2013   10.4911719  0.0049092  2137.037  < 2e-16 ***
ori_grid2014   10.8585221  0.0040790  2662.049  < 2e-16 ***
ori_grid2015   10.6723870  0.0050144  2128.357  < 2e-16 ***
ori_grid2016   11.1186589  0.0040114  2771.780  < 2e-16 ***
ori_grid2017   11.1494427  0.0048740  2287.521  < 2e-16 ***
ori_grid2021   10.9827531  0.0070605  1555.524  < 2e-16 ***
ori_grid2036    6.4542108  0.1015400    63.563  < 2e-16 ***
ori_grid2037    8.2619531  0.0150593   548.627  < 2e-16 ***
ori_grid2038   10.3391989  0.0043786  2361.307  < 2e-16 ***
ori_grid2039   11.0802229  0.0047000  2357.505  < 2e-16 ***
ori_grid2040   11.4368300  0.0034041  3359.673  < 2e-16 ***
ori_grid2041   12.3774556  0.0032030  3864.305  < 2e-16 ***
ori_grid2042   11.1084124  0.0041502  2676.597  < 2e-16 ***
ori_grid2043    9.5318390  0.0089466  1065.419  < 2e-16 ***
ori_grid2044   11.7038119  0.0032000  3657.416  < 2e-16 ***
ori_grid2046   10.0606660  0.0094347  1066.351  < 2e-16 ***
ori_grid2049   11.1176393  0.0073762  1507.224  < 2e-16 ***
ori_grid2063    8.0143618  0.0215549   371.812  < 2e-16 ***
ori_grid2064    8.7800177  0.0112830   778.162  < 2e-16 ***
ori_grid2065   10.0862274  0.0052392  1925.160  < 2e-16 ***
ori_grid2066   10.4500692  0.0051591  2025.541  < 2e-16 ***
ori_grid2067   11.0915410  0.0035021  3167.121  < 2e-16 ***
ori_grid2068   10.9842285  0.0045595  2409.061  < 2e-16 ***
ori_grid2069    9.3326238  0.0108054   863.696  < 2e-16 ***
ori_grid2070   12.0510509  0.0036968  3259.841  < 2e-16 ***
ori_grid2071   10.6639969  0.0067721  1574.704  < 2e-16 ***
ori_grid2072    9.5534830  0.0219999   434.251  < 2e-16 ***
ori_grid2074    5.9234609  0.1644016    36.030  < 2e-16 ***
ori_grid2089    7.9746657  0.0863915    92.308  < 2e-16 ***
ori_grid2090    4.6320171  1.0000003     4.632 3.62e-06 ***
ori_grid2091    7.8401407  0.0245276   319.645  < 2e-16 ***
ori_grid2092    9.4656160  0.0085360  1108.911  < 2e-16 ***
ori_grid2093   10.5517177  0.0045311  2328.711  < 2e-16 ***
ori_grid2094   11.0730554  0.0038243  2895.419  < 2e-16 ***
ori_grid2095   12.3841165  0.0046322  2673.491  < 2e-16 ***
ori_grid2096    8.8628880  0.0142919   620.135  < 2e-16 ***
ori_grid2097    9.1967322  0.0248014   370.815  < 2e-16 ***
ori_grid2098   10.1211766  0.0079753  1269.062  < 2e-16 ***
ori_grid2100    8.5381309  0.0309940   275.477  < 2e-16 ***
ori_grid2101    7.6545714  0.0623855   122.698  < 2e-16 ***
ori_grid2102    7.4168200  0.0501318   147.946  < 2e-16 ***
ori_grid2116    7.9091497  0.0592381   133.515  < 2e-16 ***
ori_grid2117    5.0157313  1.0000004     5.016 5.28e-07 ***
ori_grid2119   10.4149300  0.0046109  2258.780  < 2e-16 ***
ori_grid2120   10.2048108  0.0058310  1750.093  < 2e-16 ***
ori_grid2121   10.4061483  0.0056042  1856.843  < 2e-16 ***
ori_grid2122    7.9897328  0.0445977   179.151  < 2e-16 ***
ori_grid2123   10.4763900  0.0053100  1972.952  < 2e-16 ***
ori_grid2124   10.1828372  0.0087887  1158.632  < 2e-16 ***
ori_grid2125   10.1388446  0.0090400  1121.557  < 2e-16 ***
ori_grid2126    9.3657574  0.0135998   688.668  < 2e-16 ***
ori_grid2129    6.8966066  0.0957874    71.999  < 2e-16 ***
ori_grid2146   10.1543150  0.0145450   698.129  < 2e-16 ***
ori_grid2147   10.5475716  0.0043084  2448.119  < 2e-16 ***
ori_grid2148   11.4761748  0.0030436  3770.633  < 2e-16 ***
ori_grid2149   10.9045417  0.0048964  2227.058  < 2e-16 ***
ori_grid2150    9.5500207  0.0092660  1030.655  < 2e-16 ***
ori_grid2151   10.1402033  0.0073263  1384.087  < 2e-16 ***
ori_grid2152   11.2446902  0.0043963  2557.763  < 2e-16 ***
ori_grid2153    8.5480380  0.0291264   293.480  < 2e-16 ***
ori_grid2154   11.0017399  0.0061084  1801.094  < 2e-16 ***
ori_grid2155    7.9804113  0.0339328   235.183  < 2e-16 ***
ori_grid2171    6.2629988  0.2582008    24.256  < 2e-16 ***
ori_grid2172   10.8668937  0.0106409  1021.242  < 2e-16 ***
ori_grid2174    9.9126890  0.0094179  1052.541  < 2e-16 ***
ori_grid2175   11.2693676  0.0035990  3131.218  < 2e-16 ***
ori_grid2176   10.9803244  0.0042788  2566.193  < 2e-16 ***
ori_grid2177   11.6174125  0.0026771  4339.608  < 2e-16 ***
ori_grid2178   10.4426481  0.0057253  1823.959  < 2e-16 ***
ori_grid2179   11.1378455  0.0051958  2143.606  < 2e-16 ***
ori_grid2180   11.3128000  0.0045494  2486.671  < 2e-16 ***
ori_grid2181   11.4920904  0.0044446  2585.618  < 2e-16 ***
ori_grid2182    7.9760919  0.0479517   166.336  < 2e-16 ***
ori_grid2200    9.9875753  0.0155679   641.551  < 2e-16 ***
ori_grid2201   11.0516942  0.0034301  3221.961  < 2e-16 ***
ori_grid2202    9.2323636  0.0162466   568.266  < 2e-16 ***
ori_grid2203   11.1873575  0.0049808  2246.094  < 2e-16 ***
ori_grid2204   10.3000948  0.0055691  1849.493  < 2e-16 ***
ori_grid2205   10.2535237  0.0060423  1696.957  < 2e-16 ***
ori_grid2206   11.6870037  0.0029574  3951.839  < 2e-16 ***
ori_grid2207   10.6409069  0.0058866  1807.638  < 2e-16 ***
ori_grid2208   11.7192089  0.0037027  3165.035  < 2e-16 ***
ori_grid2209    7.2782260  0.0716173   101.627  < 2e-16 ***
ori_grid2227    9.5446032  0.0091137  1047.278  < 2e-16 ***
ori_grid2228   11.1390234  0.0042189  2640.261  < 2e-16 ***
ori_grid2229   10.2504454  0.0056419  1816.849  < 2e-16 ***
ori_grid2230   10.3294041  0.0084981  1215.491  < 2e-16 ***
ori_grid2231   10.7621773  0.0044098  2440.506  < 2e-16 ***
ori_grid2233   11.8903110  0.0028233  4211.420  < 2e-16 ***
ori_grid2234    7.8278498  0.0421566   185.685  < 2e-16 ***
ori_grid2235    9.6196850  0.0323881   297.013  < 2e-16 ***
ori_grid2254    9.5981969  0.0160322   598.684  < 2e-16 ***
ori_grid2255   10.8293794  0.0041816  2589.768  < 2e-16 ***
ori_grid2256   10.3822434  0.0055603  1867.194  < 2e-16 ***
ori_grid2257    9.9064663  0.0109426   905.315  < 2e-16 ***
ori_grid2258   10.2254903  0.0066841  1529.813  < 2e-16 ***
ori_grid2259    9.2520761  0.0116788   792.209  < 2e-16 ***
ori_grid2260   11.5446903  0.0035861  3219.312  < 2e-16 ***
ori_grid2261   11.8532031  0.0036541  3243.801  < 2e-16 ***
ori_grid2262   11.2479209  0.0053750  2092.652  < 2e-16 ***
ori_grid2281   10.8497218  0.0045892  2364.162  < 2e-16 ***
ori_grid2282   10.8313977  0.0043335  2499.429  < 2e-16 ***
ori_grid2283   10.9798616  0.0040822  2689.721  < 2e-16 ***
ori_grid2284    9.6962954  0.0080031  1211.566  < 2e-16 ***
ori_grid2285   11.7958161  0.0037845  3116.882  < 2e-16 ***
ori_grid2286   10.1581751  0.0072852  1394.357  < 2e-16 ***
ori_grid2287   12.0974509  0.0029105  4156.414  < 2e-16 ***
ori_grid2288   10.6829456  0.0077534  1377.840  < 2e-16 ***
ori_grid2308   10.1320022  0.0082072  1234.529  < 2e-16 ***
ori_grid2309   11.0503303  0.0038053  2903.924  < 2e-16 ***
ori_grid2310   10.5586086  0.0045947  2297.986  < 2e-16 ***
ori_grid2311   10.7021478  0.0043806  2443.058  < 2e-16 ***
ori_grid2312    8.2981845  0.0204490   405.799  < 2e-16 ***
ori_grid2313   10.8779155  0.0046790  2324.835  < 2e-16 ***
ori_grid2314   11.7133676  0.0027421  4271.731  < 2e-16 ***
ori_grid2315   10.8622143  0.0056081  1936.874  < 2e-16 ***
ori_grid2316   12.2667785  0.0033864  3622.372  < 2e-16 ***
ori_grid2317   12.4209447  0.0090683  1369.704  < 2e-16 ***
ori_grid2335    9.6312628  0.0097782   984.977  < 2e-16 ***
ori_grid2336   10.9113144  0.0036210  3013.364  < 2e-16 ***
ori_grid2337   10.0127092  0.0063391  1579.505  < 2e-16 ***
ori_grid2338    7.8826630  0.0265152   297.288  < 2e-16 ***
ori_grid2339   11.0391165  0.0043054  2564.045  < 2e-16 ***
ori_grid2340   11.7002664  0.0029347  3986.822  < 2e-16 ***
ori_grid2341   11.6357165  0.0032916  3534.928  < 2e-16 ***
ori_grid2342   11.3542742  0.0040847  2779.731  < 2e-16 ***
ori_grid2343   11.6015662  0.0046301  2505.682  < 2e-16 ***
ori_grid2362    9.7152573  0.0101713   955.164  < 2e-16 ***
ori_grid2363   10.4346803  0.0058746  1776.231  < 2e-16 ***
ori_grid2364    7.7892515  0.0343525   226.745  < 2e-16 ***
ori_grid2365    9.3879357  0.0097549   962.380  < 2e-16 ***
ori_grid2366    5.7908385  0.1825765    31.717  < 2e-16 ***
ori_grid2367   10.8010926  0.0054627  1977.236  < 2e-16 ***
ori_grid2368   11.2510375  0.0035554  3164.537  < 2e-16 ***
ori_grid2369   11.3492966  0.0038891  2918.200  < 2e-16 ***
ori_grid2370   11.7109276  0.0029836  3925.097  < 2e-16 ***
ori_grid2371   11.9113550  0.0036440  3268.737  < 2e-16 ***
ori_grid2389   10.0430249  0.0066150  1518.226  < 2e-16 ***
ori_grid2390   10.9401438  0.0037759  2897.384  < 2e-16 ***
ori_grid2391   10.7069278  0.0051535  2077.593  < 2e-16 ***
ori_grid2392   10.1942963  0.0130230   782.792  < 2e-16 ***
ori_grid2393    9.0433767  0.0264005   342.546  < 2e-16 ***
ori_grid2394   10.0139975  0.0090896  1101.703  < 2e-16 ***
ori_grid2395   11.4277154  0.0037014  3087.401  < 2e-16 ***
ori_grid2396   11.7460122  0.0031279  3755.284  < 2e-16 ***
ori_grid2397   10.9923387  0.0063751  1724.262  < 2e-16 ***
ori_grid2398   11.4705336  0.0071320  1608.326  < 2e-16 ***
ori_grid2416   10.2580522  0.0071637  1431.941  < 2e-16 ***
ori_grid2417   10.7634865  0.0068155  1579.263  < 2e-16 ***
ori_grid2418   10.4858378  0.0053566  1957.543  < 2e-16 ***
ori_grid2419   10.2086724  0.0061211  1667.790  < 2e-16 ***
ori_grid2420    9.2470897  0.0241662   382.646  < 2e-16 ***
ori_grid2422   10.4329492  0.0124507   837.943  < 2e-16 ***
ori_grid2423   11.0145505  0.0050304  2189.582  < 2e-16 ***
ori_grid2424   12.3493166  0.0024602  5019.647  < 2e-16 ***
ori_grid2425   11.6438407  0.0032690  3561.940  < 2e-16 ***
ori_grid2426   11.4277493  0.0087629  1304.106  < 2e-16 ***
ori_grid2443   10.9867478  0.0038889  2825.171  < 2e-16 ***
ori_grid2444   11.3282780  0.0032176  3520.772  < 2e-16 ***
ori_grid2445   11.4898120  0.0031186  3684.253  < 2e-16 ***
ori_grid2448    8.5421877  0.0290237   294.317  < 2e-16 ***
ori_grid2449   11.4670521  0.0053286  2152.001  < 2e-16 ***
ori_grid2450   11.5864754  0.0042570  2721.768  < 2e-16 ***
ori_grid2451   12.5770585  0.0024238  5189.003  < 2e-16 ***
ori_grid2452    8.8789657  0.0350173   253.560  < 2e-16 ***
ori_grid2471   10.5458368  0.0052853  1995.327  < 2e-16 ***
ori_grid2472   10.0487508  0.0150537   667.527  < 2e-16 ***
ori_grid2473   11.1756845  0.0043952  2542.693  < 2e-16 ***
ori_grid2476    8.9803956  0.0247501   362.843  < 2e-16 ***
ori_grid2478   11.3847281  0.0052852  2154.092  < 2e-16 ***
ori_grid2479   10.2688108  0.0113424   905.349  < 2e-16 ***
ori_grid2480    8.7036246  0.0355398   244.898  < 2e-16 ***
ori_grid2497   11.3266083  0.0035118  3225.274  < 2e-16 ***
ori_grid2498    9.7091221  0.0088613  1095.673  < 2e-16 ***
ori_grid2499   11.5636397  0.0041819  2765.146  < 2e-16 ***
ori_grid2500    7.6778234  0.0420778   182.467  < 2e-16 ***
ori_grid2503    6.3965298  0.1525012    41.944  < 2e-16 ***
ori_grid2504   10.0758264  0.0135229   745.095  < 2e-16 ***
ori_grid2505   11.1896107  0.0052655  2125.065  < 2e-16 ***
ori_grid2525   10.1227144  0.0074535  1358.111  < 2e-16 ***
ori_grid2526   11.0184598  0.0043750  2518.518  < 2e-16 ***
ori_grid2527   11.2927345  0.0037557  3006.806  < 2e-16 ***
ori_grid2531    5.5445402  0.4472146    12.398  < 2e-16 ***
ori_grid2532   11.1325450  0.0055255  2014.758  < 2e-16 ***
ori_grid2533   12.0165237  0.0063316  1897.880  < 2e-16 ***
ori_grid2551   10.1634388  0.0068797  1477.314  < 2e-16 ***
ori_grid2552    9.8250452  0.0120876   812.822  < 2e-16 ***
ori_grid2553   11.0460483  0.0075379  1465.407  < 2e-16 ***
ori_grid2554    9.7147862  0.0102146   951.073  < 2e-16 ***
ori_grid2557    8.9762707  0.0253381   354.260  < 2e-16 ***
ori_grid2559   11.1224546  0.0073509  1513.075  < 2e-16 ***
ori_grid2579   10.2350453  0.0065682  1558.281  < 2e-16 ***
ori_grid2580   11.1645213  0.0039018  2861.408  < 2e-16 ***
ori_grid2581   10.8422784  0.0056407  1922.162  < 2e-16 ***
ori_grid2584    8.0084373  0.0622639   128.621  < 2e-16 ***
ori_grid2605    9.9931986  0.0091196  1095.797  < 2e-16 ***
ori_grid2606   10.0868008  0.0144055   700.203  < 2e-16 ***
ori_grid2607   12.0535695  0.0031259  3855.987  < 2e-16 ***
ori_grid2608   10.3547925  0.0076525  1353.131  < 2e-16 ***
ori_grid2609   10.1678393  0.0141420   718.983  < 2e-16 ***
ori_grid2610    9.0625536  0.0237679   381.294  < 2e-16 ***
ori_grid2611    7.9329039  0.0824834    96.176  < 2e-16 ***
ori_grid2633   10.2331656  0.0065057  1572.952  < 2e-16 ***
ori_grid2634   11.7985566  0.0024896  4739.093  < 2e-16 ***
ori_grid2635   11.4292175  0.0046462  2459.888  < 2e-16 ***
ori_grid2636   11.5305595  0.0040978  2813.874  < 2e-16 ***
ori_grid2637   10.2613227  0.0095269  1077.091  < 2e-16 ***
ori_grid2638   10.1827638  0.0101719  1001.070  < 2e-16 ***
ori_grid2660    9.8637649  0.0078709  1253.199  < 2e-16 ***
ori_grid2661   11.3787977  0.0036515  3116.175  < 2e-16 ***
ori_grid2662   10.5069535  0.0060368  1740.485  < 2e-16 ***
ori_grid2663   12.2858996  0.0031329  3921.515  < 2e-16 ***
ori_grid2664   10.7113910  0.0063133  1696.645  < 2e-16 ***
ori_grid2665   11.2454509  0.0044963  2501.054  < 2e-16 ***
ori_grid2687   10.2438902  0.0067836  1510.105  < 2e-16 ***
ori_grid2688   11.3304995  0.0036899  3070.667  < 2e-16 ***
ori_grid2689   11.6290827  0.0034487  3371.988  < 2e-16 ***
ori_grid2690   10.7120741  0.0052472  2041.466  < 2e-16 ***
ori_grid2691   12.2102439  0.0029628  4121.206  < 2e-16 ***
ori_grid2693   11.4954163  0.0041161  2792.821  < 2e-16 ***
ori_grid2714   10.7748784  0.0051008  2112.374  < 2e-16 ***
ori_grid2715   11.9161169  0.0039352  3028.117  < 2e-16 ***
ori_grid2716    7.9446811  0.0254503   312.165  < 2e-16 ***
ori_grid2717   10.9634522  0.0041611  2634.762  < 2e-16 ***
ori_grid2718   11.4846394  0.0052111  2203.900  < 2e-16 ***
ori_grid2719   11.7508474  0.0037628  3122.863  < 2e-16 ***
ori_grid2742   11.3929093  0.0036607  3112.230  < 2e-16 ***
ori_grid2743   10.4166917  0.0104745   994.481  < 2e-16 ***
ori_grid2744   11.5295998  0.0031288  3684.961  < 2e-16 ***
ori_grid2745   11.6640542  0.0034147  3415.855  < 2e-16 ***
ori_grid2746   10.5058145  0.0099849  1052.170  < 2e-16 ***
ori_grid2747   11.1399866  0.0060261  1848.626  < 2e-16 ***
ori_grid2768   11.0282877  0.0047896  2302.551  < 2e-16 ***
ori_grid2769   11.6193941  0.0033781  3439.605  < 2e-16 ***
ori_grid2770   10.0441069  0.0078815  1274.396  < 2e-16 ***
ori_grid2771   11.9105470  0.0023981  4966.639  < 2e-16 ***
ori_grid2772   10.8665983  0.0083068  1308.154  < 2e-16 ***
ori_grid2773   11.2598252  0.0046243  2434.922  < 2e-16 ***
ori_grid2795    7.3609314  0.0985385    74.701  < 2e-16 ***
ori_grid2796    9.4303173  0.0211483   445.914  < 2e-16 ***
ori_grid2797   10.2004310  0.0073474  1388.303  < 2e-16 ***
ori_grid2798   10.7750445  0.0053059  2030.763  < 2e-16 ***
ori_grid2799   11.3698781  0.0040433  2811.998  < 2e-16 ***
ori_grid2800   11.2572423  0.0043676  2577.439  < 2e-16 ***
ori_grid2801    9.2856229  0.0268684   345.597  < 2e-16 ***
ori_grid2822    8.6073043  0.0176316   488.176  < 2e-16 ***
ori_grid2823    9.3210199  0.0119231   781.760  < 2e-16 ***
ori_grid2824   11.0680259  0.0050841  2177.007  < 2e-16 ***
ori_grid2825   11.6241635  0.0031738  3662.548  < 2e-16 ***
ori_grid2826   11.6515477  0.0047744  2440.444  < 2e-16 ***
ori_grid2827   11.5655261  0.0035250  3281.024  < 2e-16 ***
ori_grid2850   10.0074444  0.0105589   947.775  < 2e-16 ***
ori_grid2851    8.9178515  0.0157912   564.736  < 2e-16 ***
ori_grid2852   11.4568038  0.0043003  2664.188  < 2e-16 ***
ori_grid2853   12.0811607  0.0026254  4601.626  < 2e-16 ***
ori_grid2854   11.7260800  0.0034379  3410.790  < 2e-16 ***
ori_grid2877    9.4753575  0.0170238   556.595  < 2e-16 ***
ori_grid2878   10.8737205  0.0056602  1921.084  < 2e-16 ***
ori_grid2879   11.6061375  0.0049567  2341.485  < 2e-16 ***
ori_grid2880   11.0842992  0.0045758  2422.382  < 2e-16 ***
ori_grid2881   11.7579782  0.0040778  2883.430  < 2e-16 ***
ori_grid2905   10.7174942  0.0070802  1513.718  < 2e-16 ***
ori_grid2906   10.2368085  0.0093647  1093.122  < 2e-16 ***
ori_grid2907   11.2200484  0.0043474  2580.879  < 2e-16 ***
ori_grid2908   11.5642021  0.0044721  2585.838  < 2e-16 ***
ori_grid2909   11.7311465  0.0199056   589.338  < 2e-16 ***
ori_grid2931    7.7210937  0.0429610   179.723  < 2e-16 ***
ori_grid2932    6.6429226  0.0688475    96.487  < 2e-16 ***
ori_grid2933    9.8283834  0.0115342   852.105  < 2e-16 ***
ori_grid2934   10.5969698  0.0056266  1883.370  < 2e-16 ***
ori_grid2959    8.3106310  0.0272695   304.759  < 2e-16 ***
ori_grid2960   10.1687747  0.0178775   568.802  < 2e-16 ***
ori_grid2961   10.7795505  0.0072762  1481.489  < 2e-16 ***
ori_grid2962   10.4987950  0.0080291  1307.593  < 2e-16 ***
ori_grid2963    8.2797873  0.0735263   112.610  < 2e-16 ***
ori_grid2987    8.5082836  0.0390792   217.719  < 2e-16 ***
ori_grid2988    8.8120543  0.0214690   410.454  < 2e-16 ***
ori_grid2989    9.0402780  0.0171944   525.768  < 2e-16 ***
ori_grid2990    9.4082623  0.0377529   249.207  < 2e-16 ***
ori_grid3015   10.1654140  0.0184670   550.465  < 2e-16 ***
ori_grid3016    9.6615639  0.0155529   621.208  < 2e-16 ***
ori_grid3017    7.9736543  0.0352109   226.454  < 2e-16 ***
ori_grid3040   10.4246040  0.0084223  1237.731  < 2e-16 ***
ori_grid3043    9.0160754  0.0170772   527.959  < 2e-16 ***
ori_grid3044    8.9412432  0.0180241   496.073  < 2e-16 ***
ori_grid3068    9.0033561  0.0187516   480.139  < 2e-16 ***
ori_grid3070    7.4589698  0.0674266   110.624  < 2e-16 ***
ori_grid3072    8.5958489  0.0486877   176.551  < 2e-16 ***
ori_grid3092   11.5180713  0.0145583   791.166  < 2e-16 ***
ori_grid3098   10.2937961  0.0084900  1212.458  < 2e-16 ***
ori_grid3123   11.1016960  0.0056225  1974.522  < 2e-16 ***
ori_grid3126    6.4748029  0.2672627    24.226  < 2e-16 ***
ori_grid3151    9.9006614  0.0142394   695.301  < 2e-16 ***
ori_grid3152    6.5842707  0.1147116    57.398  < 2e-16 ***
ori_grid3173   11.3905164  0.0161920   703.464  < 2e-16 ***
ori_grid3178    9.6251938  0.0197816   486.574  < 2e-16 ***
ori_grid3179    9.4082496  0.0217454   432.656  < 2e-16 ***
ori_grid3205    9.1116560  0.0295605   308.238  < 2e-16 ***
ori_grid3206   10.7188014  0.0098061  1093.076  < 2e-16 ***
ori_grid3232    9.4250999  0.0425733   221.385  < 2e-16 ***
ori_grid3233    8.9860108  0.0574562   156.398  < 2e-16 ***
ori_grid3308   10.0759179  0.0384183   262.269  < 2e-16 ***
log(desti_fs)   0.3295599  0.0001655  1991.250  < 2e-16 ***
log(desti_biz)  0.0350935  0.0001723   203.630  < 2e-16 ***
log(desti_sch)  0.3924206  0.0006150   638.034  < 2e-16 ***
log(euc_dist)  -0.6985434  0.0001180 -5920.797  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for poisson family taken to be 1)

    Null deviance: 362754959  on 65714  degrees of freedom
Residual deviance:  54731201  on 64889  degrees of freedom
AIC: 55094678

Number of Fisher Scoring iterations: 8
Statistical Conclusion

log(desti_fs) 0.3295599 0.0001655 1991.250 < 2e-16 log(desti_biz) 0.0350935 0.0001723 203.630 < 2e-16 log(desti_sch) 0.3924206 0.0006150 638.034 < 2e-16 log(euc_dist) -0.6985434 0.0001180 -5920.797 < 2e-16

Number of weekday morning peak period trips has a statistically significant relationship with all destination attractiveness attributes.

The strongest positive association is with number of schools (Coefficient Estimate: 0.3924206) followed by number of financial services (Coefficient Estimate: 0.3295599), suggesting that they are the most attractive factors.

The strongest negative association is with distance (-0.6985434). Thus, the further away the destination from origin, the less attractive it is.

Destination Constrained Model

destiSIM <- glm(
    formula = TRIPS ~ desti_grid 
            + log(ori_mrt_exit)
            + log(ori_fnb) 
            + log(ori_hdb)
            + log(euc_dist),
    family = poisson(link = "log"),
    data = attr_flow,
           na.action = na.exclude)

Results

summary(destiSIM)

Call:
glm(formula = TRIPS ~ desti_grid + log(ori_mrt_exit) + log(ori_fnb) + 
    log(ori_hdb) + log(euc_dist), family = poisson(link = "log"), 
    data = attr_flow, na.action = na.exclude)

Coefficients:
                    Estimate Std. Error   z value Pr(>|z|)    
(Intercept)        9.9403435  0.0504536   197.020  < 2e-16 ***
desti_grid146      1.0628533  0.0552626    19.233  < 2e-16 ***
desti_grid174      0.6941007  0.0578209    12.004  < 2e-16 ***
desti_grid175      1.0528053  0.0539797    19.504  < 2e-16 ***
desti_grid200      0.4446523  0.0610570     7.283 3.28e-13 ***
desti_grid201      0.4583900  0.0522431     8.774  < 2e-16 ***
desti_grid202     -0.4458939  0.0557213    -8.002 1.22e-15 ***
desti_grid203      1.0611484  0.0542300    19.568  < 2e-16 ***
desti_grid227     -0.3850821  0.0646209    -5.959 2.54e-09 ***
desti_grid228      0.3963399  0.0531720     7.454 9.06e-14 ***
desti_grid229     -2.3463608  0.1124525   -20.865  < 2e-16 ***
desti_grid230      0.9751001  0.0516221    18.889  < 2e-16 ***
desti_grid231     -0.8842086  0.0599219   -14.756  < 2e-16 ***
desti_grid254      1.1031866  0.0536761    20.553  < 2e-16 ***
desti_grid255      0.3584052  0.0540519     6.631 3.34e-11 ***
desti_grid256      0.8491388  0.0519242    16.353  < 2e-16 ***
desti_grid257     -0.0935795  0.0545954    -1.714 0.086519 .  
desti_grid258      0.7491189  0.0547229    13.689  < 2e-16 ***
desti_grid259     -0.0266722  0.0526242    -0.507 0.612265    
desti_grid281     -0.7555543  0.0664885   -11.364  < 2e-16 ***
desti_grid282     -0.9249610  0.0578549   -15.988  < 2e-16 ***
desti_grid284      1.0776821  0.0512921    21.011  < 2e-16 ***
desti_grid285      0.4477478  0.0514958     8.695  < 2e-16 ***
desti_grid286      0.4286479  0.0513898     8.341  < 2e-16 ***
desti_grid312      1.3137237  0.0518082    25.357  < 2e-16 ***
desti_grid313      0.6430999  0.0559315    11.498  < 2e-16 ***
desti_grid314     -0.0198885  0.0530747    -0.375 0.707863    
desti_grid336     -0.7271931  0.0653579   -11.126  < 2e-16 ***
desti_grid338     -0.4241874  0.0555604    -7.635 2.26e-14 ***
desti_grid339     -0.4200949  0.0529388    -7.935 2.10e-15 ***
desti_grid340     -2.5841447  0.2630802    -9.823  < 2e-16 ***
desti_grid366     -0.2170152  0.0526504    -4.122 3.76e-05 ***
desti_grid367      0.5301393  0.0516424    10.266  < 2e-16 ***
desti_grid391      0.4787041  0.0581676     8.230  < 2e-16 ***
desti_grid392     -0.1537614  0.0532611    -2.887 0.003890 ** 
desti_grid393      1.0688947  0.0511467    20.899  < 2e-16 ***
desti_grid394     -1.5539356  0.0933669   -16.643  < 2e-16 ***
desti_grid419      1.6476051  0.0534037    30.852  < 2e-16 ***
desti_grid420      0.4702638  0.0526763     8.927  < 2e-16 ***
desti_grid421      0.8223296  0.0555779    14.796  < 2e-16 ***
desti_grid445      1.0324823  0.0518621    19.908  < 2e-16 ***
desti_grid446     -0.7410161  0.0541876   -13.675  < 2e-16 ***
desti_grid447      0.0533526  0.0533074     1.001 0.316901    
desti_grid472     -0.2825611  0.0597865    -4.726 2.29e-06 ***
desti_grid473      0.8742550  0.0518986    16.845  < 2e-16 ***
desti_grid474     -0.1339285  0.0529166    -2.531 0.011376 *  
desti_grid499      0.7964873  0.0519407    15.335  < 2e-16 ***
desti_grid500      0.0561493  0.0525617     1.068 0.285406    
desti_grid526      1.3442943  0.0514092    26.149  < 2e-16 ***
desti_grid527      0.6604876  0.0528022    12.509  < 2e-16 ***
desti_grid528      2.0036028  0.0510520    39.246  < 2e-16 ***
desti_grid552      1.1566457  0.0539988    21.420  < 2e-16 ***
desti_grid553     -1.6951095  0.0777242   -21.809  < 2e-16 ***
desti_grid554      1.9297950  0.0514793    37.487  < 2e-16 ***
desti_grid555      1.2482594  0.0512892    24.338  < 2e-16 ***
desti_grid581      1.3745376  0.0510988    26.900  < 2e-16 ***
desti_grid582      0.4435489  0.0518238     8.559  < 2e-16 ***
desti_grid607      0.3231831  0.0533708     6.055 1.40e-09 ***
desti_grid608      1.4653635  0.0518544    28.259  < 2e-16 ***
desti_grid609      1.1696038  0.0506548    23.090  < 2e-16 ***
desti_grid610      1.7181464  0.0510823    33.635  < 2e-16 ***
desti_grid611     -0.3572868  0.0572997    -6.235 4.51e-10 ***
desti_grid634      1.6974029  0.0523458    32.427  < 2e-16 ***
desti_grid635      1.1121899  0.0514338    21.624  < 2e-16 ***
desti_grid636     -0.0996196  0.0516643    -1.928 0.053829 .  
desti_grid638      2.4020004  0.0506058    47.465  < 2e-16 ***
desti_grid661      0.3709588  0.0547537     6.775 1.24e-11 ***
desti_grid662      1.2602117  0.0517153    24.368  < 2e-16 ***
desti_grid663     -0.0453207  0.0513403    -0.883 0.377371    
desti_grid664      0.6011804  0.0512078    11.740  < 2e-16 ***
desti_grid665      0.2778475  0.0516962     5.375 7.67e-08 ***
desti_grid689      0.2656310  0.0531421     4.999 5.78e-07 ***
desti_grid690      0.5068064  0.0513412     9.871  < 2e-16 ***
desti_grid692     -0.0033653  0.0520846    -0.065 0.948483    
desti_grid693     -0.3962984  0.0562862    -7.041 1.91e-12 ***
desti_grid715      0.1388473  0.0549090     2.529 0.011449 *  
desti_grid716      0.2395835  0.0529792     4.522 6.12e-06 ***
desti_grid717     -0.2449507  0.0515461    -4.752 2.01e-06 ***
desti_grid718      1.1469493  0.0506549    22.642  < 2e-16 ***
desti_grid719      0.0023603  0.0539341     0.044 0.965093    
desti_grid720     -2.1577321  0.0723387   -29.828  < 2e-16 ***
desti_grid743      1.4335172  0.0511699    28.015  < 2e-16 ***
desti_grid744      0.5530999  0.0512088    10.801  < 2e-16 ***
desti_grid745     -0.2307430  0.0510626    -4.519 6.22e-06 ***
desti_grid746     -0.1133267  0.0511629    -2.215 0.026759 *  
desti_grid747      1.1525715  0.0509193    22.635  < 2e-16 ***
desti_grid748     -0.7137677  0.0540662   -13.202  < 2e-16 ***
desti_grid769     -0.2315542  0.0529510    -4.373 1.23e-05 ***
desti_grid770      1.6652938  0.0508363    32.758  < 2e-16 ***
desti_grid771      0.4488705  0.0509138     8.816  < 2e-16 ***
desti_grid772      1.6195745  0.0505272    32.054  < 2e-16 ***
desti_grid773     -0.7755274  0.0522253   -14.850  < 2e-16 ***
desti_grid774      0.4018940  0.0518198     7.756 8.79e-15 ***
desti_grid775     -0.5345335  0.0527012   -10.143  < 2e-16 ***
desti_grid776     -3.9950287  0.1787635   -22.348  < 2e-16 ***
desti_grid777     -1.5013194  0.0660521   -22.729  < 2e-16 ***
desti_grid797     -0.3487587  0.0532429    -6.550 5.74e-11 ***
desti_grid798     -0.8004053  0.0685570   -11.675  < 2e-16 ***
desti_grid799      1.2023581  0.0505813    23.771  < 2e-16 ***
desti_grid800      0.5001979  0.0507331     9.859  < 2e-16 ***
desti_grid802     -3.2936272  0.0888389   -37.074  < 2e-16 ***
desti_grid803     -1.5150271  0.0601657   -25.181  < 2e-16 ***
desti_grid805     -1.7293127  0.0731151   -23.652  < 2e-16 ***
desti_grid806      0.4559386  0.0528682     8.624  < 2e-16 ***
desti_grid823      0.5426242  0.0534629    10.150  < 2e-16 ***
desti_grid824      1.3852767  0.0516634    26.814  < 2e-16 ***
desti_grid825      0.6264247  0.0515676    12.148  < 2e-16 ***
desti_grid826      2.1903828  0.0504703    43.399  < 2e-16 ***
desti_grid827      0.8478785  0.0506542    16.739  < 2e-16 ***
desti_grid832     -3.6965782  0.2062635   -17.922  < 2e-16 ***
desti_grid833     -1.6236871  0.0712036   -22.803  < 2e-16 ***
desti_grid851      0.0483357  0.0544546     0.888 0.374738    
desti_grid852      1.1509762  0.0512525    22.457  < 2e-16 ***
desti_grid853     -0.1544802  0.0509228    -3.034 0.002416 ** 
desti_grid854      0.1038304  0.0507685     2.045 0.040838 *  
desti_grid856     -5.0343037  0.2025002   -24.861  < 2e-16 ***
desti_grid861     -1.7817459  0.0717084   -24.847  < 2e-16 ***
desti_grid862     -0.8905064  0.0616523   -14.444  < 2e-16 ***
desti_grid878      0.5112615  0.0519091     9.849  < 2e-16 ***
desti_grid879      1.0316820  0.0509020    20.268  < 2e-16 ***
desti_grid880     -0.4239109  0.0509383    -8.322  < 2e-16 ***
desti_grid881      0.0829892  0.0509773     1.628 0.103533    
desti_grid888     -2.6949241  0.1451321   -18.569  < 2e-16 ***
desti_grid889     -1.3770697  0.0694081   -19.840  < 2e-16 ***
desti_grid905     -0.5120283  0.0533165    -9.604  < 2e-16 ***
desti_grid906     -0.3426169  0.0537156    -6.378 1.79e-10 ***
desti_grid907      1.1116453  0.0508229    21.873  < 2e-16 ***
desti_grid908      0.5277592  0.0506687    10.416  < 2e-16 ***
desti_grid910      0.6284839  0.0519535    12.097  < 2e-16 ***
desti_grid932      0.4115483  0.0511974     8.038 9.10e-16 ***
desti_grid933     -0.0525941  0.0516877    -1.018 0.308899    
desti_grid934      0.3947950  0.0507264     7.783 7.09e-15 ***
desti_grid935      0.4972338  0.0506636     9.814  < 2e-16 ***
desti_grid937      0.2512537  0.0514041     4.888 1.02e-06 ***
desti_grid959      1.4591523  0.0507314    28.762  < 2e-16 ***
desti_grid960      0.3996339  0.0507948     7.868 3.61e-15 ***
desti_grid961      0.0904795  0.0508245     1.780 0.075038 .  
desti_grid962      2.3600220  0.0504808    46.751  < 2e-16 ***
desti_grid986     -0.5926195  0.0537060   -11.035  < 2e-16 ***
desti_grid987      0.7683561  0.0506389    15.173  < 2e-16 ***
desti_grid988     -0.7087289  0.0516593   -13.719  < 2e-16 ***
desti_grid989      0.4999415  0.0506302     9.874  < 2e-16 ***
desti_grid991      0.1760919  0.0515160     3.418 0.000630 ***
desti_grid1013     0.1625538  0.0541394     3.003 0.002678 ** 
desti_grid1014    -1.3003750  0.0525866   -24.728  < 2e-16 ***
desti_grid1015    -1.8449394  0.0546792   -33.741  < 2e-16 ***
desti_grid1016    -0.0228112  0.0507550    -0.449 0.653116    
desti_grid1042     1.1914027  0.0506949    23.501  < 2e-16 ***
desti_grid1043     0.2899818  0.0507001     5.720 1.07e-08 ***
desti_grid1045    -1.5200204  0.0567055   -26.806  < 2e-16 ***
desti_grid1067     1.4149751  0.0507702    27.870  < 2e-16 ***
desti_grid1068    -1.5323250  0.0598590   -25.599  < 2e-16 ***
desti_grid1069    -1.7123855  0.0535071   -32.003  < 2e-16 ***
desti_grid1070     0.5719953  0.0506005    11.304  < 2e-16 ***
desti_grid1078    -1.3310074  0.0630496   -21.110  < 2e-16 ***
desti_grid1093     0.5770509  0.0515402    11.196  < 2e-16 ***
desti_grid1094    -0.7059624  0.0522747   -13.505  < 2e-16 ***
desti_grid1095    -1.9417017  0.0555011   -34.985  < 2e-16 ***
desti_grid1096     0.0612200  0.0507237     1.207 0.227459    
desti_grid1097     0.3630513  0.0508016     7.146 8.90e-13 ***
desti_grid1099     0.5343753  0.0507500    10.530  < 2e-16 ***
desti_grid1100    -1.6756594  0.0683236   -24.525  < 2e-16 ***
desti_grid1122    -0.1309811  0.0509843    -2.569 0.010198 *  
desti_grid1123     1.5673341  0.0504957    31.039  < 2e-16 ***
desti_grid1124     0.5551806  0.0506327    10.965  < 2e-16 ***
desti_grid1125     0.0428330  0.0509038     0.841 0.400097    
desti_grid1126    -3.2765617  0.0784536   -41.764  < 2e-16 ***
desti_grid1127    -0.0094136  0.0508157    -0.185 0.853033    
desti_grid1128     0.5456295  0.0509588    10.707  < 2e-16 ***
desti_grid1132    -0.0909543  0.0540888    -1.682 0.092651 .  
desti_grid1147    -1.7478176  0.0601658   -29.050  < 2e-16 ***
desti_grid1148     0.0195334  0.0510348     0.383 0.701907    
desti_grid1149    -0.4412949  0.0511566    -8.626  < 2e-16 ***
desti_grid1150     0.3871711  0.0506440     7.645 2.09e-14 ***
desti_grid1151     0.0657628  0.0507126     1.297 0.194708    
desti_grid1152    -0.2467340  0.0509108    -4.846 1.26e-06 ***
desti_grid1153     0.2089648  0.0508445     4.110 3.96e-05 ***
desti_grid1154     1.7823583  0.0504924    35.300  < 2e-16 ***
desti_grid1155    -1.9253571  0.0618889   -31.110  < 2e-16 ***
desti_grid1158    -1.5099048  0.0584374   -25.838  < 2e-16 ***
desti_grid1174     0.3802938  0.0516778     7.359 1.85e-13 ***
desti_grid1175     1.5835763  0.0509961    31.053  < 2e-16 ***
desti_grid1176     0.4395743  0.0506649     8.676  < 2e-16 ***
desti_grid1177     0.4895519  0.0506775     9.660  < 2e-16 ***
desti_grid1178     0.1526287  0.0507253     3.009 0.002622 ** 
desti_grid1179    -0.7375642  0.0511926   -14.408  < 2e-16 ***
desti_grid1180    -2.0450363  0.0534646   -38.250  < 2e-16 ***
desti_grid1181     0.6751839  0.0506007    13.343  < 2e-16 ***
desti_grid1182     0.2944419  0.0508629     5.789 7.08e-09 ***
desti_grid1183     0.0335387  0.0513373     0.653 0.513563    
desti_grid1185    -0.2694563  0.0527143    -5.112 3.19e-07 ***
desti_grid1201     0.1754783  0.0522233     3.360 0.000779 ***
desti_grid1202    -0.0053046  0.0509846    -0.104 0.917135    
desti_grid1203     0.9481834  0.0506390    18.724  < 2e-16 ***
desti_grid1205     1.4782264  0.0504985    29.273  < 2e-16 ***
desti_grid1206     0.4512985  0.0506703     8.907  < 2e-16 ***
desti_grid1207     0.3618208  0.0506465     7.144 9.06e-13 ***
desti_grid1209     2.1594008  0.0505260    42.738  < 2e-16 ***
desti_grid1210    -0.0863973  0.0523823    -1.649 0.099074 .  
desti_grid1211    -0.4277214  0.0530918    -8.056 7.87e-16 ***
desti_grid1212    -0.0821923  0.0531639    -1.546 0.122100    
desti_grid1228     0.3174551  0.0522051     6.081 1.19e-09 ***
desti_grid1229     0.4655426  0.0508489     9.155  < 2e-16 ***
desti_grid1230    -0.5869481  0.0513090   -11.439  < 2e-16 ***
desti_grid1231     1.9895669  0.0506766    39.260  < 2e-16 ***
desti_grid1232     0.4935257  0.0506074     9.752  < 2e-16 ***
desti_grid1233     1.8329467  0.0505586    36.254  < 2e-16 ***
desti_grid1235     1.0119365  0.0506141    19.993  < 2e-16 ***
desti_grid1236    -1.1099096  0.0519331   -21.372  < 2e-16 ***
desti_grid1237     0.6809251  0.0507518    13.417  < 2e-16 ***
desti_grid1238    -1.5315714  0.0560507   -27.325  < 2e-16 ***
desti_grid1239     0.0464026  0.0526410     0.881 0.378051    
desti_grid1240    -1.6861495  0.0805083   -20.944  < 2e-16 ***
desti_grid1255     0.3039164  0.0513640     5.917 3.28e-09 ***
desti_grid1256    -0.4207542  0.0513315    -8.197 2.47e-16 ***
desti_grid1257    -0.0537438  0.0509739    -1.054 0.291728    
desti_grid1258     1.1559602  0.0506100    22.841  < 2e-16 ***
desti_grid1259    -0.0668273  0.0508443    -1.314 0.188727    
desti_grid1261    -0.0182903  0.0507506    -0.360 0.718551    
desti_grid1262     0.0462358  0.0507802     0.911 0.362554    
desti_grid1263    -1.2140240  0.0532672   -22.791  < 2e-16 ***
desti_grid1264     0.4837839  0.0509810     9.489  < 2e-16 ***
desti_grid1265    -1.9147998  0.0565756   -33.845  < 2e-16 ***
desti_grid1266     0.3678447  0.0520772     7.063 1.62e-12 ***
desti_grid1282    -0.2768084  0.0519260    -5.331 9.78e-08 ***
desti_grid1283     0.0948884  0.0507394     1.870 0.061468 .  
desti_grid1284    -0.3887715  0.0511172    -7.605 2.84e-14 ***
desti_grid1285     0.7296149  0.0507463    14.378  < 2e-16 ***
desti_grid1286    -1.1187554  0.0514112   -21.761  < 2e-16 ***
desti_grid1287    -0.1096271  0.0511467    -2.143 0.032082 *  
desti_grid1288    -0.3072974  0.0510749    -6.017 1.78e-09 ***
desti_grid1289     0.7180169  0.0505582    14.202  < 2e-16 ***
desti_grid1293    -0.6037629  0.0549359   -10.990  < 2e-16 ***
desti_grid1308    -1.1138038  0.0524976   -21.216  < 2e-16 ***
desti_grid1309     0.8035633  0.0506311    15.871  < 2e-16 ***
desti_grid1310     1.8101612  0.0504800    35.859  < 2e-16 ***
desti_grid1311     0.9548035  0.0509783    18.730  < 2e-16 ***
desti_grid1312    -1.3009586  0.0542797   -23.968  < 2e-16 ***
desti_grid1314     0.6581301  0.0506807    12.986  < 2e-16 ***
desti_grid1315     1.5587127  0.0504955    30.868  < 2e-16 ***
desti_grid1316    -0.5507336  0.0514947   -10.695  < 2e-16 ***
desti_grid1318    -0.0992228  0.0538192    -1.844 0.065237 .  
desti_grid1319     1.9353966  0.0505394    38.295  < 2e-16 ***
desti_grid1320    -0.6632019  0.0532033   -12.465  < 2e-16 ***
desti_grid1335    -2.7676594  0.1017698   -27.195  < 2e-16 ***
desti_grid1336     0.7465610  0.0506774    14.732  < 2e-16 ***
desti_grid1337     0.1204250  0.0506474     2.378 0.017420 *  
desti_grid1338    -0.4642341  0.0516510    -8.988  < 2e-16 ***
desti_grid1339    -0.1925124  0.0532160    -3.618 0.000297 ***
desti_grid1340    -1.2679336  0.0519425   -24.410  < 2e-16 ***
desti_grid1341    -0.4532862  0.0511512    -8.862  < 2e-16 ***
desti_grid1342    -0.0878611  0.0509521    -1.724 0.084638 .  
desti_grid1343    -0.4776240  0.0510168    -9.362  < 2e-16 ***
desti_grid1347    -0.1357322  0.0517758    -2.622 0.008753 ** 
desti_grid1348     1.0005810  0.0506852    19.741  < 2e-16 ***
desti_grid1350     3.4314922  0.0505887    67.831  < 2e-16 ***
desti_grid1362     0.2384944  0.0507728     4.697 2.64e-06 ***
desti_grid1363     0.4155700  0.0506882     8.199 2.43e-16 ***
desti_grid1364    -0.3794858  0.0509369    -7.450 9.33e-14 ***
desti_grid1366     0.1347669  0.0507810     2.654 0.007957 ** 
desti_grid1367    -2.1132797  0.0550749   -38.371  < 2e-16 ***
desti_grid1368     0.9207128  0.0508397    18.110  < 2e-16 ***
desti_grid1369     0.5537134  0.0506679    10.928  < 2e-16 ***
desti_grid1370     0.3024313  0.0508521     5.947 2.73e-09 ***
desti_grid1372    -0.0787273  0.0585829    -1.344 0.178993    
desti_grid1374     0.1251345  0.0507916     2.464 0.013752 *  
desti_grid1375     2.4155170  0.0505122    47.820  < 2e-16 ***
desti_grid1389     0.2777883  0.0508212     5.466 4.60e-08 ***
desti_grid1390     0.8978756  0.0509646    17.618  < 2e-16 ***
desti_grid1391     0.1848426  0.0508407     3.636 0.000277 ***
desti_grid1392    -1.2027937  0.0518426   -23.201  < 2e-16 ***
desti_grid1394    -0.7568609  0.0515707   -14.676  < 2e-16 ***
desti_grid1396    -0.8920857  0.0524967   -16.993  < 2e-16 ***
desti_grid1397     0.0437091  0.0510911     0.856 0.392267    
desti_grid1401     1.3912365  0.0505298    27.533  < 2e-16 ***
desti_grid1402     0.5509054  0.0507024    10.865  < 2e-16 ***
desti_grid1416     0.1027777  0.0565047     1.819 0.068923 .  
desti_grid1417    -0.4590877  0.0517516    -8.871  < 2e-16 ***
desti_grid1418    -1.0323404  0.0534432   -19.317  < 2e-16 ***
desti_grid1419     1.6458527  0.0505282    32.573  < 2e-16 ***
desti_grid1420     1.1990350  0.0505336    23.727  < 2e-16 ***
desti_grid1422    -0.6475031  0.0526583   -12.296  < 2e-16 ***
desti_grid1423     0.0053153  0.0510147     0.104 0.917017    
desti_grid1426     0.5913998  0.0512285    11.544  < 2e-16 ***
desti_grid1428    -0.1545913  0.0508380    -3.041 0.002359 ** 
desti_grid1429     0.9713430  0.0508042    19.119  < 2e-16 ***
desti_grid1443     0.9159220  0.0506385    18.087  < 2e-16 ***
desti_grid1444     0.5499688  0.0507982    10.827  < 2e-16 ***
desti_grid1445     0.7680457  0.0506478    15.164  < 2e-16 ***
desti_grid1446    -1.2988989  0.0528082   -24.597  < 2e-16 ***
desti_grid1447     0.1166600  0.0507151     2.300 0.021431 *  
desti_grid1455     0.0099025  0.0511331     0.194 0.846441    
desti_grid1456     0.3735043  0.0508278     7.348 2.01e-13 ***
desti_grid1457    -3.1468930  0.0839592   -37.481  < 2e-16 ***
desti_grid1469     0.7039677  0.0506827    13.890  < 2e-16 ***
desti_grid1470     1.0657222  0.0506110    21.057  < 2e-16 ***
desti_grid1471     0.4313500  0.0506664     8.514  < 2e-16 ***
desti_grid1472    -0.4428730  0.0512343    -8.644  < 2e-16 ***
desti_grid1480    -1.8437949  0.0660522   -27.914  < 2e-16 ***
desti_grid1482     1.4403025  0.0505667    28.483  < 2e-16 ***
desti_grid1483     1.3244101  0.0508133    26.064  < 2e-16 ***
desti_grid1496    -1.4508658  0.0529441   -27.404  < 2e-16 ***
desti_grid1497     1.5793532  0.0509061    31.025  < 2e-16 ***
desti_grid1498     0.3110729  0.0508014     6.123 9.17e-10 ***
desti_grid1499    -0.2372964  0.0509405    -4.658 3.19e-06 ***
desti_grid1500    -2.0300164  0.0588684   -34.484  < 2e-16 ***
desti_grid1501    -0.7837255  0.0511988   -15.308  < 2e-16 ***
desti_grid1507     1.4386050  0.0511282    28.137  < 2e-16 ***
desti_grid1509    -0.3486657  0.0514545    -6.776 1.23e-11 ***
desti_grid1510     2.4853013  0.0504671    49.246  < 2e-16 ***
desti_grid1511    -0.7928464  0.0544931   -14.549  < 2e-16 ***
desti_grid1523    -0.6151592  0.0614257   -10.015  < 2e-16 ***
desti_grid1524     0.6739404  0.0517406    13.025  < 2e-16 ***
desti_grid1525     0.7641789  0.0505792    15.109  < 2e-16 ***
desti_grid1526    -1.5027989  0.0526817   -28.526  < 2e-16 ***
desti_grid1527    -2.2209003  0.0659279   -33.687  < 2e-16 ***
desti_grid1534    -3.5400694  0.1049727   -33.724  < 2e-16 ***
desti_grid1536     0.9188089  0.0506114    18.154  < 2e-16 ***
desti_grid1537     0.2658154  0.0510212     5.210 1.89e-07 ***
desti_grid1550     0.5871387  0.0507081    11.579  < 2e-16 ***
desti_grid1551    -0.1946877  0.0511351    -3.807 0.000140 ***
desti_grid1552    -1.6463923  0.0545525   -30.180  < 2e-16 ***
desti_grid1553    -0.1736164  0.0507846    -3.419 0.000629 ***
desti_grid1554    -1.4415576  0.0536709   -26.859  < 2e-16 ***
desti_grid1555    -1.1059499  0.0515080   -21.471  < 2e-16 ***
desti_grid1562    -0.9277693  0.0615631   -15.070  < 2e-16 ***
desti_grid1563     0.5856002  0.0507733    11.534  < 2e-16 ***
desti_grid1564     0.5144618  0.0506760    10.152  < 2e-16 ***
desti_grid1565     1.7608780  0.0506688    34.753  < 2e-16 ***
desti_grid1576     0.2257570  0.0511454     4.414 1.01e-05 ***
desti_grid1578    -1.5925833  0.0519440   -30.660  < 2e-16 ***
desti_grid1579     0.7200976  0.0505779    14.237  < 2e-16 ***
desti_grid1581    -0.7672174  0.0511511   -14.999  < 2e-16 ***
desti_grid1588    -1.5102503  0.0703057   -21.481  < 2e-16 ***
desti_grid1590     0.4486638  0.0507541     8.840  < 2e-16 ***
desti_grid1591     0.5714618  0.0507050    11.270  < 2e-16 ***
desti_grid1592     0.7574393  0.0511637    14.804  < 2e-16 ***
desti_grid1604     1.1727486  0.0505368    23.206  < 2e-16 ***
desti_grid1605     0.2038444  0.0506596     4.024 5.73e-05 ***
desti_grid1606    -0.0803118  0.0507077    -1.584 0.113235    
desti_grid1607    -0.9368608  0.0512261   -18.289  < 2e-16 ***
desti_grid1616    -1.3268153  0.0599230   -22.142  < 2e-16 ***
desti_grid1617     0.0395371  0.0517440     0.764 0.444814    
desti_grid1618     2.1789799  0.0504879    43.158  < 2e-16 ***
desti_grid1619     0.7257280  0.0507904    14.289  < 2e-16 ***
desti_grid1620     0.7905472  0.0510238    15.494  < 2e-16 ***
desti_grid1630    -1.9914061  0.0532573   -37.392  < 2e-16 ***
desti_grid1631    -0.1544957  0.0508306    -3.039 0.002370 ** 
desti_grid1632    -0.1405373  0.0508304    -2.765 0.005695 ** 
desti_grid1633    -1.6826686  0.0527637   -31.891  < 2e-16 ***
desti_grid1634    -0.0725358  0.0508291    -1.427 0.153565    
desti_grid1635     0.7238922  0.0506138    14.302  < 2e-16 ***
desti_grid1642    -1.1753094  0.0641057   -18.334  < 2e-16 ***
desti_grid1644     0.7527153  0.0507663    14.827  < 2e-16 ***
desti_grid1645     0.6982995  0.0506885    13.776  < 2e-16 ***
desti_grid1646     0.9779155  0.0507622    19.265  < 2e-16 ***
desti_grid1647    -0.5254264  0.0577079    -9.105  < 2e-16 ***
desti_grid1658    -0.0894131  0.0511772    -1.747 0.080615 .  
desti_grid1659     0.5418365  0.0505967    10.709  < 2e-16 ***
desti_grid1660    -0.3138602  0.0516374    -6.078 1.22e-09 ***
desti_grid1661    -1.9422234  0.0540403   -35.940  < 2e-16 ***
desti_grid1662    -0.4407548  0.0509515    -8.650  < 2e-16 ***
desti_grid1669    -3.0306324  0.1305274   -23.218  < 2e-16 ***
desti_grid1670    -0.3779879  0.0553142    -6.833 8.29e-12 ***
desti_grid1672     0.1972863  0.0512736     3.848 0.000119 ***
desti_grid1673     1.8864551  0.0506927    37.214  < 2e-16 ***
desti_grid1674     0.7316450  0.0508817    14.379  < 2e-16 ***
desti_grid1684     0.0426291  0.0507457     0.840 0.400878    
desti_grid1685     0.2073707  0.0509302     4.072 4.67e-05 ***
desti_grid1686     0.0688253  0.0507360     1.357 0.174928    
desti_grid1687    -0.5818035  0.0512257   -11.358  < 2e-16 ***
desti_grid1688    -0.8772718  0.0513803   -17.074  < 2e-16 ***
desti_grid1689    -1.5330847  0.0552829   -27.732  < 2e-16 ***
desti_grid1695    -1.9267125  0.0810983   -23.758  < 2e-16 ***
desti_grid1699     0.6771986  0.0507309    13.349  < 2e-16 ***
desti_grid1700    -0.0052644  0.0521249    -0.101 0.919554    
desti_grid1701     1.5990569  0.0511275    31.276  < 2e-16 ***
desti_grid1712    -0.9387474  0.0517775   -18.130  < 2e-16 ***
desti_grid1713     0.8897940  0.0505401    17.606  < 2e-16 ***
desti_grid1714    -0.4510350  0.0515994    -8.741  < 2e-16 ***
desti_grid1716    -0.1767914  0.0507656    -3.483 0.000497 ***
desti_grid1723    -1.9784241  0.0818171   -24.181  < 2e-16 ***
desti_grid1726    -0.2516227  0.0521826    -4.822 1.42e-06 ***
desti_grid1727     0.5220692  0.0508105    10.275  < 2e-16 ***
desti_grid1728     1.0801406  0.0506750    21.315  < 2e-16 ***
desti_grid1738    -0.1904451  0.0507845    -3.750 0.000177 ***
desti_grid1739     1.1703544  0.0505140    23.169  < 2e-16 ***
desti_grid1740    -0.3368312  0.0510163    -6.602 4.04e-11 ***
desti_grid1741    -0.0985685  0.0509241    -1.936 0.052917 .  
desti_grid1743    -1.7467734  0.0568386   -30.732  < 2e-16 ***
desti_grid1744    -2.7942358  0.1003166   -27.854  < 2e-16 ***
desti_grid1748    -4.1225093  0.1138482   -36.211  < 2e-16 ***
desti_grid1749     0.1206207  0.0510594     2.362 0.018159 *  
desti_grid1753     1.7558066  0.0505079    34.763  < 2e-16 ***
desti_grid1754     0.0364800  0.0509866     0.715 0.474311    
desti_grid1765     0.9317201  0.0505684    18.425  < 2e-16 ***
desti_grid1766     0.5429324  0.0506748    10.714  < 2e-16 ***
desti_grid1767     0.3160332  0.0506510     6.239 4.39e-10 ***
desti_grid1768    -1.8091127  0.0549301   -32.935  < 2e-16 ***
desti_grid1770    -1.3154342  0.0519966   -25.298  < 2e-16 ***
desti_grid1771    -2.7508936  0.0604327   -45.520  < 2e-16 ***
desti_grid1776    -4.0746002  0.1106955   -36.809  < 2e-16 ***
desti_grid1777     0.4053450  0.0509052     7.963 1.68e-15 ***
desti_grid1778    -1.1442058  0.0526696   -21.724  < 2e-16 ***
desti_grid1780    -0.3426386  0.0526874    -6.503 7.86e-11 ***
desti_grid1781     0.7608868  0.0506848    15.012  < 2e-16 ***
desti_grid1791    -0.0331598  0.0529635    -0.626 0.531258    
desti_grid1792    -0.4235608  0.0509993    -8.305  < 2e-16 ***
desti_grid1793     0.6174801  0.0505761    12.209  < 2e-16 ***
desti_grid1794     0.0716608  0.0507480     1.412 0.157924    
desti_grid1795    -0.0684911  0.0508263    -1.348 0.177802    
desti_grid1796     0.4261547  0.0507696     8.394  < 2e-16 ***
desti_grid1798    -4.5497710  0.1488374   -30.569  < 2e-16 ***
desti_grid1800    -1.0323038  0.0545049   -18.940  < 2e-16 ***
desti_grid1802    -1.5679645  0.0550279   -28.494  < 2e-16 ***
desti_grid1804    -2.6743594  0.0630510   -42.416  < 2e-16 ***
desti_grid1805    -0.9583895  0.0518888   -18.470  < 2e-16 ***
desti_grid1806    -0.1721253  0.0510364    -3.373 0.000745 ***
desti_grid1807    -0.7002199  0.0512738   -13.656  < 2e-16 ***
desti_grid1808    -0.4131459  0.0529344    -7.805 5.96e-15 ***
desti_grid1820    -0.0936524  0.0507779    -1.844 0.065132 .  
desti_grid1821     1.0146926  0.0505405    20.077  < 2e-16 ***
desti_grid1822    -0.7858612  0.0513229   -15.312  < 2e-16 ***
desti_grid1823    -0.1103000  0.0511486    -2.156 0.031048 *  
desti_grid1824     0.4565630  0.0506437     9.015  < 2e-16 ***
desti_grid1827    -0.9210352  0.0513974   -17.920  < 2e-16 ***
desti_grid1828    -0.4447944  0.0512087    -8.686  < 2e-16 ***
desti_grid1829     0.7334693  0.0507236    14.460  < 2e-16 ***
desti_grid1831    -1.7773415  0.0535505   -33.190  < 2e-16 ***
desti_grid1833     1.0964491  0.0505526    21.689  < 2e-16 ***
desti_grid1834     1.2567925  0.0505851    24.845  < 2e-16 ***
desti_grid1835    -0.7421669  0.0516365   -14.373  < 2e-16 ***
desti_grid1846    -2.2395692  0.0570348   -39.267  < 2e-16 ***
desti_grid1847    -1.4434285  0.0535023   -26.979  < 2e-16 ***
desti_grid1848    -0.3111298  0.0508280    -6.121 9.29e-10 ***
desti_grid1849     1.2870796  0.0505036    25.485  < 2e-16 ***
desti_grid1850     0.2092324  0.0511089     4.094 4.24e-05 ***
desti_grid1852    -2.8775055  0.0600808   -47.894  < 2e-16 ***
desti_grid1853     0.2081950  0.0507528     4.102 4.09e-05 ***
desti_grid1854    -0.2068123  0.0509374    -4.060 4.90e-05 ***
desti_grid1855    -1.6813857  0.0530461   -31.697  < 2e-16 ***
desti_grid1856    -3.0720563  0.1589714   -19.325  < 2e-16 ***
desti_grid1857    -2.7317620  0.0674752   -40.485  < 2e-16 ***
desti_grid1858    -1.3934295  0.0516799   -26.963  < 2e-16 ***
desti_grid1859    -0.0014513  0.0508881    -0.029 0.977248    
desti_grid1860     0.2803491  0.0507333     5.526 3.28e-08 ***
desti_grid1861    -0.3630094  0.0513423    -7.070 1.55e-12 ***
desti_grid1862    -0.8013751  0.0544075   -14.729  < 2e-16 ***
desti_grid1874     0.1063434  0.0506776     2.098 0.035867 *  
desti_grid1875     0.3411085  0.0506267     6.738 1.61e-11 ***
desti_grid1876    -0.5884838  0.0514598   -11.436  < 2e-16 ***
desti_grid1877    -0.1947647  0.0509118    -3.826 0.000130 ***
desti_grid1878    -0.1719145  0.0508855    -3.378 0.000729 ***
desti_grid1879    -1.0373882  0.0515418   -20.127  < 2e-16 ***
desti_grid1882     0.4749403  0.0506628     9.375  < 2e-16 ***
desti_grid1883    -0.3578546  0.0511003    -7.003 2.51e-12 ***
desti_grid1884    -1.3819471  0.0537996   -25.687  < 2e-16 ***
desti_grid1886     1.8693210  0.0504807    37.030  < 2e-16 ***
desti_grid1887     2.3249032  0.0504746    46.061  < 2e-16 ***
desti_grid1888    -0.1996025  0.0510999    -3.906 9.38e-05 ***
desti_grid1889    -2.9867216  0.1017707   -29.348  < 2e-16 ***
desti_grid1890    -0.7635244  0.0621621   -12.283  < 2e-16 ***
desti_grid1900    -0.6569418  0.0513556   -12.792  < 2e-16 ***
desti_grid1901     0.4811481  0.0505982     9.509  < 2e-16 ***
desti_grid1902     0.0013906  0.0509460     0.027 0.978224    
desti_grid1903     0.1578391  0.0509631     3.097 0.001954 ** 
desti_grid1904     0.2697837  0.0508500     5.305 1.12e-07 ***
desti_grid1905    -0.4594856  0.0509022    -9.027  < 2e-16 ***
desti_grid1906    -0.2430046  0.0507861    -4.785 1.71e-06 ***
desti_grid1907     0.0175068  0.0507346     0.345 0.730045    
desti_grid1908    -0.0993641  0.0510260    -1.947 0.051496 .  
desti_grid1909     0.3055202  0.0507523     6.020 1.75e-09 ***
desti_grid1910    -0.9731890  0.0516190   -18.853  < 2e-16 ***
desti_grid1912    -2.5637841  0.0615897   -41.627  < 2e-16 ***
desti_grid1913     0.2196066  0.0506459     4.336 1.45e-05 ***
desti_grid1914     0.7658927  0.0506260    15.128  < 2e-16 ***
desti_grid1916    -1.0226342  0.0573962   -17.817  < 2e-16 ***
desti_grid1928    -0.0302206  0.0507617    -0.595 0.551614    
desti_grid1929     0.1928930  0.0507303     3.802 0.000143 ***
desti_grid1930     0.1413916  0.0506493     2.792 0.005245 ** 
desti_grid1931    -0.4626732  0.0509871    -9.074  < 2e-16 ***
desti_grid1932     0.4546998  0.0506531     8.977  < 2e-16 ***
desti_grid1933     0.8565148  0.0507254    16.885  < 2e-16 ***
desti_grid1934    -0.8094910  0.0510501   -15.857  < 2e-16 ***
desti_grid1935    -0.1137736  0.0507921    -2.240 0.025092 *  
desti_grid1936     0.2088580  0.0507709     4.114 3.89e-05 ***
desti_grid1937     0.5445291  0.0506445    10.752  < 2e-16 ***
desti_grid1938    -1.3218582  0.0680626   -19.421  < 2e-16 ***
desti_grid1940     0.1311311  0.0508164     2.580 0.009866 ** 
desti_grid1941    -0.5097814  0.0512078    -9.955  < 2e-16 ***
desti_grid1942     0.3666820  0.0510623     7.181 6.92e-13 ***
desti_grid1954    -0.5859184  0.0519353   -11.282  < 2e-16 ***
desti_grid1955     0.5513819  0.0505772    10.902  < 2e-16 ***
desti_grid1956     0.0463395  0.0508339     0.912 0.361986    
desti_grid1958     0.6311866  0.0506212    12.469  < 2e-16 ***
desti_grid1959     0.4863629  0.0505754     9.617  < 2e-16 ***
desti_grid1960     0.9240979  0.0506296    18.252  < 2e-16 ***
desti_grid1961     1.4889878  0.0505033    29.483  < 2e-16 ***
desti_grid1962    -0.0749470  0.0507198    -1.478 0.139497    
desti_grid1963    -0.1626806  0.0507353    -3.206 0.001344 ** 
desti_grid1964     0.6213793  0.0506379    12.271  < 2e-16 ***
desti_grid1967     0.6052255  0.0506925    11.939  < 2e-16 ***
desti_grid1968     0.4316147  0.0508268     8.492  < 2e-16 ***
desti_grid1982     0.9133005  0.0505263    18.076  < 2e-16 ***
desti_grid1983     0.5467105  0.0505842    10.808  < 2e-16 ***
desti_grid1984     0.7533742  0.0505385    14.907  < 2e-16 ***
desti_grid1985     0.3859724  0.0506762     7.616 2.61e-14 ***
desti_grid1986    -0.1199487  0.0509903    -2.352 0.018653 *  
desti_grid1987     1.4442200  0.0504845    28.607  < 2e-16 ***
desti_grid1988    -0.3044893  0.0507206    -6.003 1.93e-09 ***
desti_grid1989    -0.3840953  0.0507819    -7.564 3.92e-14 ***
desti_grid1990     1.7201747  0.0504766    34.079  < 2e-16 ***
desti_grid1991     0.8273154  0.0505974    16.351  < 2e-16 ***
desti_grid1992     1.0064900  0.0506492    19.872  < 2e-16 ***
desti_grid1994    -1.4489332  0.0539639   -26.850  < 2e-16 ***
desti_grid1995     0.1413930  0.0509633     2.774 0.005530 ** 
desti_grid2009     1.0058702  0.0505184    19.911  < 2e-16 ***
desti_grid2010     0.5106621  0.0505544    10.101  < 2e-16 ***
desti_grid2011     0.5708350  0.0505745    11.287  < 2e-16 ***
desti_grid2012     0.0135738  0.0508473     0.267 0.789506    
desti_grid2013     0.0696928  0.0506504     1.376 0.168835    
desti_grid2014     0.1728779  0.0506101     3.416 0.000636 ***
desti_grid2015     0.3578550  0.0506323     7.068 1.57e-12 ***
desti_grid2016    -0.0961374  0.0507281    -1.895 0.058072 .  
desti_grid2017     0.3697961  0.0506599     7.300 2.89e-13 ***
desti_grid2021    -0.9992044  0.0518687   -19.264  < 2e-16 ***
desti_grid2036    -2.1266109  0.0581159   -36.593  < 2e-16 ***
desti_grid2037    -0.7509667  0.0512930   -14.641  < 2e-16 ***
desti_grid2038     0.9723878  0.0505217    19.247  < 2e-16 ***
desti_grid2039    -0.2659458  0.0508578    -5.229 1.70e-07 ***
desti_grid2040     0.0621907  0.0507359     1.226 0.220284    
desti_grid2041     0.6902919  0.0507262    13.608  < 2e-16 ***
desti_grid2042    -0.0886632  0.0508976    -1.742 0.081510 .  
desti_grid2043     0.1605666  0.0506674     3.169 0.001529 ** 
desti_grid2044     0.1355141  0.0506757     2.674 0.007492 ** 
desti_grid2046    -0.7405755  0.0516105   -14.349  < 2e-16 ***
desti_grid2049    -2.0830062  0.0556258   -37.447  < 2e-16 ***
desti_grid2063    -0.6900062  0.0512835   -13.455  < 2e-16 ***
desti_grid2064     0.3109209  0.0506172     6.143 8.12e-10 ***
desti_grid2065    -0.1926734  0.0507055    -3.800 0.000145 ***
desti_grid2066    -0.1133768  0.0507129    -2.236 0.025374 *  
desti_grid2067    -0.2448839  0.0507046    -4.830 1.37e-06 ***
desti_grid2068     0.1821838  0.0506576     3.596 0.000323 ***
desti_grid2069    -1.7011107  0.0522484   -32.558  < 2e-16 ***
desti_grid2070     0.5700938  0.0507067    11.243  < 2e-16 ***
desti_grid2071     1.4020740  0.0505313    27.747  < 2e-16 ***
desti_grid2072    -2.4730489  0.0640691   -38.600  < 2e-16 ***
desti_grid2074    -2.1122809  0.0585510   -36.076  < 2e-16 ***
desti_grid2089    -1.0858640  0.0763826   -14.216  < 2e-16 ***
desti_grid2090    -2.2602084  0.1115617   -20.260  < 2e-16 ***
desti_grid2091    -1.4766778  0.0537162   -27.490  < 2e-16 ***
desti_grid2092     0.1329334  0.0507428     2.620 0.008799 ** 
desti_grid2093     0.7316640  0.0505612    14.471  < 2e-16 ***
desti_grid2094     0.3265020  0.0506682     6.444 1.16e-10 ***
desti_grid2095     0.9889226  0.0508033    19.466  < 2e-16 ***
desti_grid2096    -0.8663115  0.0512140   -16.916  < 2e-16 ***
desti_grid2097    -0.6103338  0.0547940   -11.139  < 2e-16 ***
desti_grid2098    -0.0726109  0.0508478    -1.428 0.153290    
desti_grid2100    -2.0546491  0.0655208   -31.359  < 2e-16 ***
desti_grid2101    -0.8825324  0.0530913   -16.623  < 2e-16 ***
desti_grid2102    -0.1100421  0.0512921    -2.145 0.031921 *  
desti_grid2116    -3.2572597  0.1074884   -30.303  < 2e-16 ***
desti_grid2117    -2.1977013  0.1208031   -18.192  < 2e-16 ***
desti_grid2119     0.0343712  0.0506798     0.678 0.497643    
desti_grid2120     0.8537375  0.0505526    16.888  < 2e-16 ***
desti_grid2121     0.1138701  0.0507237     2.245 0.024774 *  
desti_grid2122    -3.0138457  0.0701835   -42.942  < 2e-16 ***
desti_grid2123    -0.8413929  0.0510049   -16.496  < 2e-16 ***
desti_grid2124    -0.0717019  0.0510356    -1.405 0.160040    
desti_grid2125     0.8711314  0.0506030    17.215  < 2e-16 ***
desti_grid2126    -1.2080090  0.0522145   -23.136  < 2e-16 ***
desti_grid2129    -1.4467657  0.0549308   -26.338  < 2e-16 ***
desti_grid2146    -0.8293264  0.0538275   -15.407  < 2e-16 ***
desti_grid2147     0.1177303  0.0506258     2.326 0.020045 *  
desti_grid2148     0.5626994  0.0505744    11.126  < 2e-16 ***
desti_grid2149     0.1100344  0.0507239     2.169 0.030061 *  
desti_grid2150    -1.4459460  0.0518650   -27.879  < 2e-16 ***
desti_grid2151    -1.4784295  0.0518992   -28.487  < 2e-16 ***
desti_grid2152     1.0328567  0.0505600    20.428  < 2e-16 ***
desti_grid2153     0.0095190  0.0519224     0.183 0.854538    
desti_grid2154    -0.8319808  0.0514292   -16.177  < 2e-16 ***
desti_grid2155    -0.5677499  0.0514997   -11.024  < 2e-16 ***
desti_grid2171    -2.7553492  0.1787652   -15.413  < 2e-16 ***
desti_grid2172    -0.8747515  0.0542182   -16.134  < 2e-16 ***
desti_grid2174    -1.1953480  0.0521207   -22.934  < 2e-16 ***
desti_grid2175     1.0647950  0.0505331    21.071  < 2e-16 ***
desti_grid2176     0.1308887  0.0506965     2.582 0.009828 ** 
desti_grid2177     1.5761792  0.0504809    31.223  < 2e-16 ***
desti_grid2178    -1.2834621  0.0513598   -24.990  < 2e-16 ***
desti_grid2179     0.5316718  0.0506246    10.502  < 2e-16 ***
desti_grid2180    -0.3517668  0.0509231    -6.908 4.92e-12 ***
desti_grid2181     0.6215620  0.0506401    12.274  < 2e-16 ***
desti_grid2182    -0.7225832  0.0533448   -13.546  < 2e-16 ***
desti_grid2200     0.4575149  0.0513779     8.905  < 2e-16 ***
desti_grid2201     0.0972848  0.0506429     1.921 0.054732 .  
desti_grid2202     1.1349634  0.0507100    22.381  < 2e-16 ***
desti_grid2203     0.2824580  0.0508259     5.557 2.74e-08 ***
desti_grid2204     0.4897700  0.0505981     9.680  < 2e-16 ***
desti_grid2205    -0.3693776  0.0508316    -7.267 3.68e-13 ***
desti_grid2206     0.5268662  0.0505731    10.418  < 2e-16 ***
desti_grid2207    -0.4278171  0.0508863    -8.407  < 2e-16 ***
desti_grid2208    -0.1537201  0.0508054    -3.026 0.002481 ** 
desti_grid2209    -1.8067073  0.0563011   -32.090  < 2e-16 ***
desti_grid2227    -0.5017707  0.0510928    -9.821  < 2e-16 ***
desti_grid2228     0.0502071  0.0507120     0.990 0.322153    
desti_grid2229     0.5549454  0.0505900    10.969  < 2e-16 ***
desti_grid2230     0.1215511  0.0509434     2.386 0.017033 *  
desti_grid2231    -0.3046481  0.0507382    -6.004 1.92e-09 ***
desti_grid2233     0.5314886  0.0505782    10.508  < 2e-16 ***
desti_grid2234    -4.0611345  0.0969233   -41.900  < 2e-16 ***
desti_grid2235    -2.1153761  0.0729037   -29.016  < 2e-16 ***
desti_grid2254    -0.0613545  0.0513851    -1.194 0.232473    
desti_grid2255    -0.3477908  0.0508750    -6.836 8.13e-12 ***
desti_grid2256    -0.0780137  0.0507669    -1.537 0.124366    
desti_grid2257    -0.1478186  0.0512059    -2.887 0.003892 ** 
desti_grid2258    -0.9100887  0.0512013   -17.775  < 2e-16 ***
desti_grid2259    -0.9613788  0.0513578   -18.719  < 2e-16 ***
desti_grid2260    -0.1331446  0.0507852    -2.622 0.008749 ** 
desti_grid2261     0.1729970  0.0507307     3.410 0.000649 ***
desti_grid2262    -0.9577834  0.0514338   -18.622  < 2e-16 ***
desti_grid2281    -0.2579181  0.0508851    -5.069 4.01e-07 ***
desti_grid2282     0.7432115  0.0505720    14.696  < 2e-16 ***
desti_grid2283    -0.1485244  0.0507641    -2.926 0.003436 ** 
desti_grid2284    -0.0568645  0.0507230    -1.121 0.262254    
desti_grid2285     0.2046939  0.0507605     4.033 5.52e-05 ***
desti_grid2286    -0.3743039  0.0508773    -7.357 1.88e-13 ***
desti_grid2287     0.6848713  0.0505642    13.545  < 2e-16 ***
desti_grid2288    -1.5432222  0.0524256   -29.436  < 2e-16 ***
desti_grid2308    -0.3093666  0.0512195    -6.040 1.54e-09 ***
desti_grid2309     0.3854367  0.0506581     7.609 2.77e-14 ***
desti_grid2310    -0.1013628  0.0506795    -2.000 0.045492 *  
desti_grid2311     0.7948738  0.0505502    15.724  < 2e-16 ***
desti_grid2312    -0.8055780  0.0513026   -15.702  < 2e-16 ***
desti_grid2313     1.3382775  0.0505389    26.480  < 2e-16 ***
desti_grid2314     1.2608551  0.0504968    24.969  < 2e-16 ***
desti_grid2315    -0.2001558  0.0508627    -3.935 8.31e-05 ***
desti_grid2316     0.2638924  0.0507158     5.203 1.96e-07 ***
desti_grid2317    -1.1001051  0.0565101   -19.467  < 2e-16 ***
desti_grid2335    -1.1396215  0.0528107   -21.579  < 2e-16 ***
desti_grid2336     0.9275648  0.0505237    18.359  < 2e-16 ***
desti_grid2337     0.4753598  0.0505862     9.397  < 2e-16 ***
desti_grid2338    -0.1920550  0.0509335    -3.771 0.000163 ***
desti_grid2339     0.4673920  0.0506192     9.233  < 2e-16 ***
desti_grid2340     0.0953598  0.0506227     1.884 0.059601 .  
desti_grid2341     0.7302695  0.0505549    14.445  < 2e-16 ***
desti_grid2342    -0.4573024  0.0508224    -8.998  < 2e-16 ***
desti_grid2343    -0.5899420  0.0511077   -11.543  < 2e-16 ***
desti_grid2362    -0.6044503  0.0517465   -11.681  < 2e-16 ***
desti_grid2363     0.0457978  0.0507974     0.902 0.367281    
desti_grid2364    -0.1225482  0.0512786    -2.390 0.016855 *  
desti_grid2365     0.8297045  0.0505742    16.406  < 2e-16 ***
desti_grid2366     0.5722200  0.0517896    11.049  < 2e-16 ***
desti_grid2367     0.0737550  0.0507613     1.453 0.146230    
desti_grid2368     0.1437054  0.0506455     2.837 0.004547 ** 
desti_grid2369     1.0911339  0.0505220    21.597  < 2e-16 ***
desti_grid2370     1.5977613  0.0504853    31.648  < 2e-16 ***
desti_grid2371    -0.3213439  0.0508527    -6.319 2.63e-10 ***
desti_grid2389    -0.0721282  0.0508594    -1.418 0.156136    
desti_grid2390     0.7308287  0.0505487    14.458  < 2e-16 ***
desti_grid2391     0.6908219  0.0506258    13.646  < 2e-16 ***
desti_grid2392     0.9565678  0.0510930    18.722  < 2e-16 ***
desti_grid2393     1.3278228  0.0509506    26.061  < 2e-16 ***
desti_grid2394    -1.5180246  0.0522050   -29.078  < 2e-16 ***
desti_grid2395     0.0532454  0.0506729     1.051 0.293366    
desti_grid2396     0.0949566  0.0506358     1.875 0.060754 .  
desti_grid2397    -1.0671274  0.0513318   -20.789  < 2e-16 ***
desti_grid2398    -0.4451901  0.0515557    -8.635  < 2e-16 ***
desti_grid2416    -0.4076651  0.0511859    -7.964 1.66e-15 ***
desti_grid2417     0.1369755  0.0513098     2.670 0.007595 ** 
desti_grid2418    -0.0454309  0.0507269    -0.896 0.370468    
desti_grid2419     0.7564651  0.0505736    14.958  < 2e-16 ***
desti_grid2420    -1.9982271  0.0618075   -32.330  < 2e-16 ***
desti_grid2422    -1.2734002  0.0546562   -23.298  < 2e-16 ***
desti_grid2423    -0.8481399  0.0510888   -16.601  < 2e-16 ***
desti_grid2424     0.8501062  0.0505367    16.822  < 2e-16 ***
desti_grid2425     1.5491055  0.0504918    30.680  < 2e-16 ***
desti_grid2426    -0.7826214  0.0525469   -14.894  < 2e-16 ***
desti_grid2443     1.1068083  0.0505410    21.899  < 2e-16 ***
desti_grid2444     0.5989610  0.0505693    11.844  < 2e-16 ***
desti_grid2445     0.5151480  0.0505752    10.186  < 2e-16 ***
desti_grid2448    -0.1835214  0.0515716    -3.559 0.000373 ***
desti_grid2449    -0.9607956  0.0517115   -18.580  < 2e-16 ***
desti_grid2450    -0.6080522  0.0509435   -11.936  < 2e-16 ***
desti_grid2451     0.9796467  0.0505271    19.389  < 2e-16 ***
desti_grid2452    -1.3581354  0.0555388   -24.454  < 2e-16 ***
desti_grid2471    -0.2533081  0.0508771    -4.979 6.40e-07 ***
desti_grid2472    -1.8896196  0.0539656   -35.015  < 2e-16 ***
desti_grid2473     0.6505095  0.0505927    12.858  < 2e-16 ***
desti_grid2476     0.8011653  0.0510023    15.708  < 2e-16 ***
desti_grid2478    -0.3460370  0.0508728    -6.802 1.03e-11 ***
desti_grid2479    -1.1687476  0.0526780   -22.187  < 2e-16 ***
desti_grid2480    -0.9588851  0.0549594   -17.447  < 2e-16 ***
desti_grid2497     0.2365462  0.0506753     4.668 3.04e-06 ***
desti_grid2498    -1.1412619  0.0523964   -21.781  < 2e-16 ***
desti_grid2499    -0.4491370  0.0510460    -8.799  < 2e-16 ***
desti_grid2500    -0.7174185  0.0526329   -13.631  < 2e-16 ***
desti_grid2503    -2.3434511  0.0768882   -30.479  < 2e-16 ***
desti_grid2504    -1.8429002  0.0592551   -31.101  < 2e-16 ***
desti_grid2505    -0.4033441  0.0509171    -7.922 2.34e-15 ***
desti_grid2525    -0.5020656  0.0512537    -9.796  < 2e-16 ***
desti_grid2526     0.5935305  0.0506144    11.727  < 2e-16 ***
desti_grid2527     0.8140045  0.0505590    16.100  < 2e-16 ***
desti_grid2531    -3.6084352  0.1305280   -27.645  < 2e-16 ***
desti_grid2532    -0.9760525  0.0513461   -19.009  < 2e-16 ***
desti_grid2533    -0.8569742  0.0524370   -16.343  < 2e-16 ***
desti_grid2551     0.3229457  0.0507339     6.365 1.95e-10 ***
desti_grid2552    -0.3786144  0.0517577    -7.315 2.57e-13 ***
desti_grid2553     0.1901012  0.0511267     3.718 0.000201 ***
desti_grid2554    -1.4392342  0.0522285   -27.557  < 2e-16 ***
desti_grid2557     0.4272034  0.0512797     8.331  < 2e-16 ***
desti_grid2559    -1.4055458  0.0525708   -26.736  < 2e-16 ***
desti_grid2579    -0.3090562  0.0508963    -6.072 1.26e-09 ***
desti_grid2580     0.6780507  0.0505832    13.405  < 2e-16 ***
desti_grid2581    -0.4852991  0.0510362    -9.509  < 2e-16 ***
desti_grid2584    -1.1628973  0.0555297   -20.942  < 2e-16 ***
desti_grid2605    -0.7730613  0.0530943   -14.560  < 2e-16 ***
desti_grid2606    -0.3838793  0.0537129    -7.147 8.88e-13 ***
desti_grid2607    -0.1101267  0.0508170    -2.167 0.030225 *  
desti_grid2608    -0.7581225  0.0514085   -14.747  < 2e-16 ***
desti_grid2609    -1.8582125  0.0587417   -31.634  < 2e-16 ***
desti_grid2610    -1.5368550  0.0569351   -26.993  < 2e-16 ***
desti_grid2611     1.4339238  0.0515807    27.800  < 2e-16 ***
desti_grid2633    -0.1810438  0.0508798    -3.558 0.000373 ***
desti_grid2634     1.8394236  0.0504764    36.441  < 2e-16 ***
desti_grid2635    -0.6925511  0.0513380   -13.490  < 2e-16 ***
desti_grid2636     0.4785630  0.0506677     9.445  < 2e-16 ***
desti_grid2637    -0.4885528  0.0513620    -9.512  < 2e-16 ***
desti_grid2638    -0.1840959  0.0509879    -3.611 0.000306 ***
desti_grid2660     0.2595452  0.0507417     5.115 3.14e-07 ***
desti_grid2661     0.1718827  0.0506680     3.392 0.000693 ***
desti_grid2662    -0.6679694  0.0510571   -13.083  < 2e-16 ***
desti_grid2663     0.8448146  0.0506181    16.690  < 2e-16 ***
desti_grid2664    -0.2344469  0.0508824    -4.608 4.07e-06 ***
desti_grid2665     0.9674154  0.0505553    19.136  < 2e-16 ***
desti_grid2687    -1.0980493  0.0515764   -21.290  < 2e-16 ***
desti_grid2688     0.1059134  0.0506827     2.090 0.036642 *  
desti_grid2689     1.0652121  0.0505485    21.073  < 2e-16 ***
desti_grid2690     0.6116753  0.0505998    12.088  < 2e-16 ***
desti_grid2691     0.0718463  0.0507318     1.416 0.156717    
desti_grid2693     0.0989253  0.0507167     1.951 0.051111 .  
desti_grid2714    -0.7703169  0.0511990   -15.046  < 2e-16 ***
desti_grid2715     0.1371892  0.0508968     2.695 0.007030 ** 
desti_grid2716    -1.8076259  0.0527522   -34.266  < 2e-16 ***
desti_grid2717     0.3465419  0.0505959     6.849 7.43e-12 ***
desti_grid2718    -0.5510505  0.0511875   -10.765  < 2e-16 ***
desti_grid2719     0.2441020  0.0506959     4.815 1.47e-06 ***
desti_grid2742     0.3343385  0.0506548     6.600 4.10e-11 ***
desti_grid2743     0.4917468  0.0508802     9.665  < 2e-16 ***
desti_grid2744     0.9051540  0.0505324    17.912  < 2e-16 ***
desti_grid2745     0.9718537  0.0505370    19.231  < 2e-16 ***
desti_grid2746    -0.9875045  0.0523209   -18.874  < 2e-16 ***
desti_grid2747    -0.3448882  0.0510694    -6.753 1.44e-11 ***
desti_grid2768     0.1618233  0.0507582     3.188 0.001432 ** 
desti_grid2769     1.3437979  0.0505399    26.589  < 2e-16 ***
desti_grid2770     0.8864599  0.0505955    17.521  < 2e-16 ***
desti_grid2771     1.9669578  0.0504718    38.971  < 2e-16 ***
desti_grid2772    -2.0324982  0.0563603   -36.063  < 2e-16 ***
desti_grid2773    -0.7970379  0.0510567   -15.611  < 2e-16 ***
desti_grid2795    -0.8063374  0.0811986    -9.930  < 2e-16 ***
desti_grid2796    -3.5746825  0.1260079   -28.369  < 2e-16 ***
desti_grid2797     0.5769857  0.0506731    11.386  < 2e-16 ***
desti_grid2798    -1.0044479  0.0512405   -19.603  < 2e-16 ***
desti_grid2799    -0.2367531  0.0508048    -4.660 3.16e-06 ***
desti_grid2800     1.0395258  0.0505460    20.566  < 2e-16 ***
desti_grid2801    -1.5300622  0.0584000   -26.200  < 2e-16 ***
desti_grid2822    -1.3489903  0.0522615   -25.812  < 2e-16 ***
desti_grid2823     0.1721397  0.0508206     3.387 0.000706 ***
desti_grid2824     1.0460727  0.0506114    20.669  < 2e-16 ***
desti_grid2825     0.2737636  0.0506296     5.407 6.40e-08 ***
desti_grid2826    -0.3079846  0.0510317    -6.035 1.59e-09 ***
desti_grid2827     1.6218069  0.0504997    32.115  < 2e-16 ***
desti_grid2850    -0.6323069  0.0520380   -12.151  < 2e-16 ***
desti_grid2851     1.1858682  0.0505846    23.443  < 2e-16 ***
desti_grid2852    -0.5448328  0.0511200   -10.658  < 2e-16 ***
desti_grid2853     1.3572263  0.0505038    26.874  < 2e-16 ***
desti_grid2854     0.2741220  0.0506636     5.411 6.28e-08 ***
desti_grid2877    -0.2386361  0.0519705    -4.592 4.40e-06 ***
desti_grid2878     0.0976685  0.0507979     1.923 0.054519 .  
desti_grid2879     0.1450803  0.0508336     2.854 0.004317 ** 
desti_grid2880    -0.8316821  0.0510575   -16.289  < 2e-16 ***
desti_grid2881    -0.3582842  0.0510180    -7.023 2.18e-12 ***
desti_grid2905     0.6808826  0.0508473    13.391  < 2e-16 ***
desti_grid2906    -0.0989448  0.0511652    -1.934 0.053134 .  
desti_grid2907    -0.5750216  0.0510566   -11.262  < 2e-16 ***
desti_grid2908     0.2396917  0.0507163     4.726 2.29e-06 ***
desti_grid2909    -0.3786536  0.0616402    -6.143 8.10e-10 ***
desti_grid2931     0.9184117  0.0509755    18.017  < 2e-16 ***
desti_grid2932     0.3638841  0.0510758     7.124 1.05e-12 ***
desti_grid2933     0.8803367  0.0506960    17.365  < 2e-16 ***
desti_grid2934    -0.5024768  0.0509235    -9.867  < 2e-16 ***
desti_grid2959     0.8180844  0.0511707    15.987  < 2e-16 ***
desti_grid2960     1.7375994  0.0508684    34.159  < 2e-16 ***
desti_grid2961     0.2186727  0.0509799     4.289 1.79e-05 ***
desti_grid2962     0.4784967  0.0507219     9.434  < 2e-16 ***
desti_grid2963     1.0308251  0.0517497    19.919  < 2e-16 ***
desti_grid2987     0.6592533  0.0515103    12.798  < 2e-16 ***
desti_grid2988    -1.9080708  0.0556305   -34.299  < 2e-16 ***
desti_grid2989    -0.0982776  0.0510070    -1.927 0.054011 .  
desti_grid2990     1.1848254  0.0519981    22.786  < 2e-16 ***
desti_grid3015    -0.6257656  0.0542992   -11.524  < 2e-16 ***
desti_grid3016    -0.1160010  0.0517362    -2.242 0.024951 *  
desti_grid3017    -0.5011785  0.0512885    -9.772  < 2e-16 ***
desti_grid3040     0.6150799  0.0507598    12.117  < 2e-16 ***
desti_grid3043    -0.6936834  0.0514002   -13.496  < 2e-16 ***
desti_grid3044    -0.4535903  0.0512985    -8.842  < 2e-16 ***
desti_grid3068    -0.8745424  0.0519816   -16.824  < 2e-16 ***
desti_grid3070    -0.8820337  0.0544201   -16.208  < 2e-16 ***
desti_grid3072    -0.5296694  0.0558222    -9.489  < 2e-16 ***
desti_grid3092     1.2377677  0.0526736    23.499  < 2e-16 ***
desti_grid3098    -0.0846404  0.0509814    -1.660 0.096870 .  
desti_grid3123     1.8105611  0.0505447    35.821  < 2e-16 ***
desti_grid3126    -3.2100048  0.0781251   -41.088  < 2e-16 ***
desti_grid3151     1.4634091  0.0506339    28.902  < 2e-16 ***
desti_grid3152    -3.4143291  0.0825726   -41.349  < 2e-16 ***
desti_grid3173     0.4005288  0.0558837     7.167 7.66e-13 ***
desti_grid3178     0.1204703  0.0513512     2.346 0.018976 *  
desti_grid3179    -0.0684409  0.0514443    -1.330 0.183390    
desti_grid3205     0.3296655  0.0517673     6.368 1.91e-10 ***
desti_grid3206     1.0441271  0.0508250    20.544  < 2e-16 ***
desti_grid3232     0.5633186  0.0551418    10.216  < 2e-16 ***
desti_grid3233    -0.3895608  0.0547099    -7.120 1.08e-12 ***
desti_grid3308     1.1207834  0.0535836    20.917  < 2e-16 ***
log(ori_mrt_exit)  0.1788028  0.0003400   525.958  < 2e-16 ***
log(ori_fnb)       0.0116404  0.0002378    48.942  < 2e-16 ***
log(ori_hdb)       0.4079424  0.0001581  2579.549  < 2e-16 ***
log(euc_dist)     -0.6817863  0.0001213 -5621.232  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for poisson family taken to be 1)

    Null deviance: 104481095  on 65713  degrees of freedom
Residual deviance:  51633762  on 64888  degrees of freedom
AIC: 51997241

Number of Fisher Scoring iterations: 8
Statistical Conclusion

log(ori_mrt_exit) 0.1788028 0.0003400 525.958 < 2e-16 log(ori_fnb) 0.0116404 0.0002378 48.942 < 2e-16 log(ori_hdb) 0.4079424 0.0001581 2579.549 < 2e-16 log(euc_dist) -0.6817863 0.0001213 -5621.232 < 2e-16

Number of weekday morning peak period trips has a statistically significant relationship with all origin propulsive attributes.

The strongest positive association is with number of residential HDB buildings (Coefficient Estimate: 0.4079424) followed by number of train station exits (Coefficient Estimate: 0.1788028), suggesting that they are the most attractive factors.

The strongest negative association is with distance (-0.6817863). Thus, the further away the origin from destination, the less propulsive it is.

Doubly Constrained Model

dbcSIM <- glm(formula = TRIPS ~ 
                ori_grid + 
                desti_grid +
                log(euc_dist),
              family = poisson(link = "log"),
              data = attr_flow,
              na.action = na.exclude)

Results

summary(dbcSIM)

Call:
glm(formula = TRIPS ~ ori_grid + desti_grid + log(euc_dist), 
    family = poisson(link = "log"), data = attr_flow, na.action = na.exclude)

Coefficients:
                 Estimate Std. Error   z value Pr(>|z|)    
(Intercept)     6.9463172  0.1371815    50.636  < 2e-16 ***
ori_grid146     1.5714266  0.1907466     8.238  < 2e-16 ***
ori_grid174     1.1864530  0.1976788     6.002 1.95e-09 ***
ori_grid175     0.2682531  0.1688702     1.589 0.112170    
ori_grid200     0.3247910  0.1502945     2.161 0.030693 *  
ori_grid201     1.3496927  0.1300128    10.381  < 2e-16 ***
ori_grid202     2.5971938  0.1300664    19.968  < 2e-16 ***
ori_grid203     1.2895103  0.1370392     9.410  < 2e-16 ***
ori_grid227     1.6780769  0.1429446    11.739  < 2e-16 ***
ori_grid228     1.2885177  0.1313291     9.811  < 2e-16 ***
ori_grid229     2.1012018  0.1490095    14.101  < 2e-16 ***
ori_grid230     2.8460142  0.1285347    22.142  < 2e-16 ***
ori_grid231     0.6903085  0.1449035     4.764 1.90e-06 ***
ori_grid254     4.0077660  0.1285855    31.168  < 2e-16 ***
ori_grid255     0.9406195  0.1443910     6.514 7.30e-11 ***
ori_grid256     0.0266033  0.1374609     0.194 0.846541    
ori_grid257     2.7698380  0.1289915    21.473  < 2e-16 ***
ori_grid258     0.3964559  0.1454541     2.726 0.006418 ** 
ori_grid259     0.4230084  0.1366778     3.095 0.001969 ** 
ori_grid281     2.3141992  0.1351617    17.122  < 2e-16 ***
ori_grid282     1.2604560  0.1381254     9.125  < 2e-16 ***
ori_grid284     0.5480667  0.1330126     4.120 3.78e-05 ***
ori_grid285     3.0421698  0.1286426    23.648  < 2e-16 ***
ori_grid286     4.4047244  0.1276620    34.503  < 2e-16 ***
ori_grid312     0.7128319  0.1442775     4.941 7.78e-07 ***
ori_grid313     0.8578270  0.1367860     6.271 3.58e-10 ***
ori_grid314     1.0635534  0.1321202     8.050 8.29e-16 ***
ori_grid336     0.3813211  0.1842904     2.069 0.038534 *  
ori_grid338     1.5452977  0.1341515    11.519  < 2e-16 ***
ori_grid339     4.1251130  0.1277071    32.301  < 2e-16 ***
ori_grid340    -0.3556090  0.1927015    -1.845 0.064981 .  
ori_grid366     4.6858248  0.1278057    36.664  < 2e-16 ***
ori_grid367     1.7223864  0.1301670    13.232  < 2e-16 ***
ori_grid391     2.6236857  0.1542409    17.010  < 2e-16 ***
ori_grid392     4.4153241  0.1278713    34.529  < 2e-16 ***
ori_grid393     1.5950779  0.1301759    12.253  < 2e-16 ***
ori_grid394    -0.0518365  0.2745113    -0.189 0.850224    
ori_grid419     0.6988637  0.1541741     4.533 5.82e-06 ***
ori_grid420     2.6375416  0.1313833    20.075  < 2e-16 ***
ori_grid421     0.7500005  0.1755870     4.271 1.94e-05 ***
ori_grid445     0.5640843  0.1317510     4.281 1.86e-05 ***
ori_grid446     3.3915770  0.1282991    26.435  < 2e-16 ***
ori_grid447     1.1292102  0.1392253     8.111 5.03e-16 ***
ori_grid472    -0.2094210  0.1851814    -1.131 0.258099    
ori_grid473     0.2218140  0.1367772     1.622 0.104864    
ori_grid474     0.8725214  0.1370651     6.366 1.94e-10 ***
ori_grid499    -0.2381330  0.1346407    -1.769 0.076951 .  
ori_grid500     3.4149887  0.1281225    26.654  < 2e-16 ***
ori_grid526     0.2100934  0.1312576     1.601 0.109461    
ori_grid527     0.4652501  0.1372768     3.389 0.000701 ***
ori_grid528     2.1335779  0.1320088    16.162  < 2e-16 ***
ori_grid552     0.3764763  0.1390223     2.708 0.006768 ** 
ori_grid553    -1.6648144  0.1816327    -9.166  < 2e-16 ***
ori_grid554     1.7556285  0.1328408    13.216  < 2e-16 ***
ori_grid555     0.7479216  0.1340872     5.578 2.43e-08 ***
ori_grid581     0.4613919  0.1312543     3.515 0.000439 ***
ori_grid582     1.4645617  0.1313880    11.147  < 2e-16 ***
ori_grid607     0.4572753  0.1348781     3.390 0.000698 ***
ori_grid608     0.7334060  0.1341703     5.466 4.60e-08 ***
ori_grid609     5.4089174  0.1276722    42.366  < 2e-16 ***
ori_grid610     1.3947225  0.1384408    10.075  < 2e-16 ***
ori_grid611    -0.7559848  0.2961939    -2.552 0.010700 *  
ori_grid634     2.1582732  0.1323937    16.302  < 2e-16 ***
ori_grid635    -1.0355716  0.1419222    -7.297 2.95e-13 ***
ori_grid636     2.1110080  0.1283919    16.442  < 2e-16 ***
ori_grid638     0.8805027  0.1296137     6.793 1.10e-11 ***
ori_grid661     1.4576848  0.1402567    10.393  < 2e-16 ***
ori_grid662     0.6866446  0.1330431     5.161 2.46e-07 ***
ori_grid663     1.6915545  0.1298236    13.030  < 2e-16 ***
ori_grid664     0.7165089  0.1355069     5.288 1.24e-07 ***
ori_grid665     2.9500007  0.1283158    22.990  < 2e-16 ***
ori_grid689     0.3918125  0.1338825     2.927 0.003428 ** 
ori_grid690     1.4878703  0.1315634    11.309  < 2e-16 ***
ori_grid692     3.0889413  0.1283014    24.076  < 2e-16 ***
ori_grid693     2.3259644  0.1301104    17.877  < 2e-16 ***
ori_grid715     0.4490345  0.1391943     3.226 0.001256 ** 
ori_grid716     1.4728320  0.1327582    11.094  < 2e-16 ***
ori_grid717     2.6113674  0.1288016    20.274  < 2e-16 ***
ori_grid718     5.8311616  0.1277234    45.655  < 2e-16 ***
ori_grid719     2.9181555  0.1289382    22.632  < 2e-16 ***
ori_grid720    -1.2236883  0.2880548    -4.248 2.16e-05 ***
ori_grid743     1.9115544  0.1299437    14.711  < 2e-16 ***
ori_grid744     1.9217871  0.1301560    14.765  < 2e-16 ***
ori_grid745     4.4280743  0.1277897    34.651  < 2e-16 ***
ori_grid746     5.2948707  0.1277242    41.456  < 2e-16 ***
ori_grid747     1.6893865  0.1297755    13.018  < 2e-16 ***
ori_grid748     0.8852581  0.1409769     6.279 3.40e-10 ***
ori_grid769    -0.2129722  0.1433831    -1.485 0.137455    
ori_grid770     0.6292229  0.1300813     4.837 1.32e-06 ***
ori_grid771     2.7970204  0.1281526    21.826  < 2e-16 ***
ori_grid772     5.0927824  0.1277050    39.879  < 2e-16 ***
ori_grid773     4.1506133  0.1280194    32.422  < 2e-16 ***
ori_grid774     1.8302004  0.1336123    13.698  < 2e-16 ***
ori_grid775     2.4405124  0.1302157    18.742  < 2e-16 ***
ori_grid776     0.4870843  0.2408177     2.023 0.043112 *  
ori_grid777    -0.1250648  0.2445100    -0.511 0.609007    
ori_grid797     0.6075131  0.1325627     4.583 4.59e-06 ***
ori_grid798    -0.0976507  0.1672281    -0.584 0.559263    
ori_grid799     4.8599995  0.1277204    38.052  < 2e-16 ***
ori_grid800     5.8852216  0.1276988    46.087  < 2e-16 ***
ori_grid802     0.3032255  0.1538190     1.971 0.048688 *  
ori_grid803     0.2243146  0.1825735     1.229 0.219212    
ori_grid805     0.9924633  0.1607541     6.174 6.67e-10 ***
ori_grid806     2.6276291  0.1349231    19.475  < 2e-16 ***
ori_grid823     0.7574152  0.1394723     5.431 5.62e-08 ***
ori_grid824     0.2549903  0.1380427     1.847 0.064720 .  
ori_grid825     2.4007553  0.1294901    18.540  < 2e-16 ***
ori_grid826     5.6531094  0.1276797    44.276  < 2e-16 ***
ori_grid827     5.2263427  0.1277291    40.917  < 2e-16 ***
ori_grid832     0.6152852  1.0092484     0.610 0.542096    
ori_grid833     0.3690391  0.1808783     2.040 0.041324 *  
ori_grid851    -1.1617306  0.1610294    -7.214 5.42e-13 ***
ori_grid852     1.1641751  0.1295236     8.988  < 2e-16 ***
ori_grid853     2.8897495  0.1279810    22.580  < 2e-16 ***
ori_grid854     4.5520563  0.1277508    35.632  < 2e-16 ***
ori_grid856    -0.7946805  0.2407847    -3.300 0.000966 ***
ori_grid861     0.8446066  0.1680031     5.027 4.97e-07 ***
ori_grid862     1.5076126  0.1628149     9.260  < 2e-16 ***
ori_grid878     0.1704921  0.1333688     1.278 0.201126    
ori_grid879     1.0806077  0.1301141     8.305  < 2e-16 ***
ori_grid880     3.4285695  0.1278251    26.822  < 2e-16 ***
ori_grid881     3.3731872  0.1281317    26.326  < 2e-16 ***
ori_grid888     0.6031649  0.2253664     2.676 0.007442 ** 
ori_grid889     2.2729524  0.1407180    16.153  < 2e-16 ***
ori_grid905     1.0195922  0.1353992     7.530 5.06e-14 ***
ori_grid906    -0.7877027  0.1800931    -4.374 1.22e-05 ***
ori_grid907     1.4320433  0.1299154    11.023  < 2e-16 ***
ori_grid908     5.3833063  0.1277075    42.153  < 2e-16 ***
ori_grid910     0.8931580  0.1436415     6.218 5.04e-10 ***
ori_grid932     2.3377699  0.1288547    18.143  < 2e-16 ***
ori_grid933     2.7738792  0.1285398    21.580  < 2e-16 ***
ori_grid934     3.9829243  0.1278036    31.164  < 2e-16 ***
ori_grid935     4.9173355  0.1277291    38.498  < 2e-16 ***
ori_grid937     4.9579544  0.1278795    38.771  < 2e-16 ***
ori_grid959     2.3182567  0.1285649    18.032  < 2e-16 ***
ori_grid960     3.7310732  0.1278449    29.184  < 2e-16 ***
ori_grid961     4.8811240  0.1277345    38.213  < 2e-16 ***
ori_grid962     4.9524758  0.1277117    38.779  < 2e-16 ***
ori_grid986     0.0413807  0.1559144     0.265 0.790696    
ori_grid987     4.8184150  0.1277313    37.723  < 2e-16 ***
ori_grid988     4.2364472  0.1278398    33.139  < 2e-16 ***
ori_grid989     5.1605860  0.1277126    40.408  < 2e-16 ***
ori_grid991     1.7724933  0.1316044    13.468  < 2e-16 ***
ori_grid1013   -0.0332360  0.1648589    -0.202 0.840227    
ori_grid1014    3.1523699  0.1281132    24.606  < 2e-16 ***
ori_grid1015    4.2654978  0.1278875    33.354  < 2e-16 ***
ori_grid1016    4.1617657  0.1277699    32.572  < 2e-16 ***
ori_grid1042    3.6889996  0.1279545    28.831  < 2e-16 ***
ori_grid1043    4.4049638  0.1277603    34.478  < 2e-16 ***
ori_grid1045    1.7259360  0.1338997    12.890  < 2e-16 ***
ori_grid1067    2.4074810  0.1285193    18.732  < 2e-16 ***
ori_grid1068    2.4369331  0.1303766    18.691  < 2e-16 ***
ori_grid1069    2.0108402  0.1291465    15.570  < 2e-16 ***
ori_grid1070    4.7924066  0.1277212    37.522  < 2e-16 ***
ori_grid1078    0.9975093  0.1477699     6.750 1.47e-11 ***
ori_grid1093    0.7519531  0.1349992     5.570 2.55e-08 ***
ori_grid1094    4.2308709  0.1278436    33.094  < 2e-16 ***
ori_grid1095    1.3863987  0.1306025    10.615  < 2e-16 ***
ori_grid1096    4.5703441  0.1277390    35.779  < 2e-16 ***
ori_grid1097    4.6708445  0.1277822    36.553  < 2e-16 ***
ori_grid1099    6.2312943  0.1277148    48.791  < 2e-16 ***
ori_grid1100    2.7581173  0.1341923    20.553  < 2e-16 ***
ori_grid1122    4.9888819  0.1277466    39.053  < 2e-16 ***
ori_grid1123    4.9697050  0.1277030    38.916  < 2e-16 ***
ori_grid1124    4.4341154  0.1277574    34.707  < 2e-16 ***
ori_grid1125    5.1237130  0.1277499    40.107  < 2e-16 ***
ori_grid1126    4.2883498  0.1283502    33.411  < 2e-16 ***
ori_grid1127    5.3434066  0.1277297    41.834  < 2e-16 ***
ori_grid1128    5.5140418  0.1278226    43.138  < 2e-16 ***
ori_grid1132   -0.2784300  0.2741819    -1.015 0.309870    
ori_grid1147    0.0839447  0.1503476     0.558 0.576614    
ori_grid1148    3.3473571  0.1279735    26.157  < 2e-16 ***
ori_grid1149    2.5302279  0.1282651    19.727  < 2e-16 ***
ori_grid1150    5.1819167  0.1277081    40.576  < 2e-16 ***
ori_grid1151    4.8617950  0.1277263    38.064  < 2e-16 ***
ori_grid1152    4.6867273  0.1277524    36.686  < 2e-16 ***
ori_grid1153    6.6390696  0.1277391    51.974  < 2e-16 ***
ori_grid1154    5.2727717  0.1277075    41.288  < 2e-16 ***
ori_grid1155    2.4649732  0.1309381    18.825  < 2e-16 ***
ori_grid1158    3.5678957  0.1286354    27.736  < 2e-16 ***
ori_grid1174    1.1613105  0.1330946     8.725  < 2e-16 ***
ori_grid1175    0.8901081  0.1316612     6.761 1.37e-11 ***
ori_grid1176    3.7628412  0.1277992    29.443  < 2e-16 ***
ori_grid1177    2.9508577  0.1280123    23.051  < 2e-16 ***
ori_grid1178    4.8187211  0.1277368    37.724  < 2e-16 ***
ori_grid1179    4.3517415  0.1277888    34.054  < 2e-16 ***
ori_grid1180    3.7369719  0.1278935    29.219  < 2e-16 ***
ori_grid1181    4.8926065  0.1277318    38.304  < 2e-16 ***
ori_grid1182    5.5490632  0.1277793    43.427  < 2e-16 ***
ori_grid1183    5.7901354  0.1278157    45.301  < 2e-16 ***
ori_grid1185    2.1893491  0.1303796    16.792  < 2e-16 ***
ori_grid1201    2.2240711  0.1318433    16.869  < 2e-16 ***
ori_grid1202    3.8050675  0.1278772    29.756  < 2e-16 ***
ori_grid1203    2.3883735  0.1284468    18.594  < 2e-16 ***
ori_grid1205    5.0950553  0.1277036    39.898  < 2e-16 ***
ori_grid1206    4.5144631  0.1277700    35.333  < 2e-16 ***
ori_grid1207    4.1309482  0.1277841    32.328  < 2e-16 ***
ori_grid1209    5.4016220  0.1277677    42.277  < 2e-16 ***
ori_grid1210    2.0357097  0.1307348    15.571  < 2e-16 ***
ori_grid1211    1.9126144  0.1310970    14.589  < 2e-16 ***
ori_grid1212    1.8760729  0.1331443    14.091  < 2e-16 ***
ori_grid1228    1.4444929  0.1353638    10.671  < 2e-16 ***
ori_grid1229    2.1105844  0.1287288    16.396  < 2e-16 ***
ori_grid1230    3.8493137  0.1278452    30.109  < 2e-16 ***
ori_grid1231    4.3417620  0.1278618    33.957  < 2e-16 ***
ori_grid1232    5.0186281  0.1277133    39.296  < 2e-16 ***
ori_grid1233    4.2728905  0.1278348    33.425  < 2e-16 ***
ori_grid1235    4.9994004  0.1277618    39.131  < 2e-16 ***
ori_grid1236    3.5347858  0.1279460    27.627  < 2e-16 ***
ori_grid1237    3.7849768  0.1278819    29.597  < 2e-16 ***
ori_grid1238    1.6502615  0.1314871    12.551  < 2e-16 ***
ori_grid1239    0.3949138  0.1498216     2.636 0.008392 ** 
ori_grid1240    0.4889966  0.1800992     2.715 0.006625 ** 
ori_grid1255    3.2858967  0.1283741    25.596  < 2e-16 ***
ori_grid1256    3.2687018  0.1280317    25.530  < 2e-16 ***
ori_grid1257    2.1812244  0.1286907    16.949  < 2e-16 ***
ori_grid1258    3.6660949  0.1278745    28.669  < 2e-16 ***
ori_grid1259    4.8527625  0.1277389    37.990  < 2e-16 ***
ori_grid1261    4.6628196  0.1277425    36.502  < 2e-16 ***
ori_grid1262    4.7263478  0.1277454    36.998  < 2e-16 ***
ori_grid1263    2.1648698  0.1290977    16.769  < 2e-16 ***
ori_grid1264    2.8551874  0.1283467    22.246  < 2e-16 ***
ori_grid1265    1.2211305  0.1321823     9.238  < 2e-16 ***
ori_grid1266    2.8444145  0.1297042    21.930  < 2e-16 ***
ori_grid1282    3.6358213  0.1281891    28.363  < 2e-16 ***
ori_grid1283    4.3017632  0.1277521    33.673  < 2e-16 ***
ori_grid1284    4.0775533  0.1278077    31.904  < 2e-16 ***
ori_grid1285    2.5669744  0.1282883    20.009  < 2e-16 ***
ori_grid1286    4.1661335  0.1277733    32.606  < 2e-16 ***
ori_grid1287    4.2399618  0.1278301    33.169  < 2e-16 ***
ori_grid1288    1.9706420  0.1288171    15.298  < 2e-16 ***
ori_grid1289    4.7365598  0.1277230    37.085  < 2e-16 ***
ori_grid1293    0.7201518  0.1453811     4.954 7.29e-07 ***
ori_grid1308    2.6724673  0.1284348    20.808  < 2e-16 ***
ori_grid1309    4.7631866  0.1277308    37.291  < 2e-16 ***
ori_grid1310    5.5945089  0.1276896    43.813  < 2e-16 ***
ori_grid1311    2.7075283  0.1292200    20.953  < 2e-16 ***
ori_grid1312    3.0784199  0.1283682    23.981  < 2e-16 ***
ori_grid1314    3.4988248  0.1279242    27.351  < 2e-16 ***
ori_grid1315    4.8416948  0.1277118    37.911  < 2e-16 ***
ori_grid1316    4.5305724  0.1279595    35.406  < 2e-16 ***
ori_grid1318    1.0756211  0.1363440     7.889 3.05e-15 ***
ori_grid1319    5.1287894  0.1277308    40.153  < 2e-16 ***
ori_grid1320    4.4073877  0.1280208    34.427  < 2e-16 ***
ori_grid1335   -0.2877828  0.2032382    -1.416 0.156779    
ori_grid1336    3.5011589  0.1278718    27.380  < 2e-16 ***
ori_grid1337    4.7931204  0.1277111    37.531  < 2e-16 ***
ori_grid1338    4.4759110  0.1278330    35.014  < 2e-16 ***
ori_grid1339    2.7459190  0.1296415    21.181  < 2e-16 ***
ori_grid1340    2.5538047  0.1283672    19.895  < 2e-16 ***
ori_grid1341    4.0252996  0.1278008    31.497  < 2e-16 ***
ori_grid1342    2.7010831  0.1281684    21.074  < 2e-16 ***
ori_grid1343    5.0157130  0.1277430    39.264  < 2e-16 ***
ori_grid1347    1.6579101  0.1311665    12.640  < 2e-16 ***
ori_grid1348    5.4231214  0.1277212    42.461  < 2e-16 ***
ori_grid1350    6.5232609  0.1277908    51.046  < 2e-16 ***
ori_grid1362    3.0151501  0.1279524    23.565  < 2e-16 ***
ori_grid1363    3.8715288  0.1278113    30.291  < 2e-16 ***
ori_grid1364    4.2239191  0.1277733    33.058  < 2e-16 ***
ori_grid1366    4.2965165  0.1277742    33.626  < 2e-16 ***
ori_grid1367    2.2762749  0.1286808    17.689  < 2e-16 ***
ori_grid1368    2.9569392  0.1281735    23.070  < 2e-16 ***
ori_grid1369    5.2179169  0.1277174    40.855  < 2e-16 ***
ori_grid1370    6.2261712  0.1277433    48.740  < 2e-16 ***
ori_grid1372   -0.1602930  0.2100491    -0.763 0.445391    
ori_grid1374    3.5468336  0.1278658    27.739  < 2e-16 ***
ori_grid1375    6.0418397  0.1277103    47.309  < 2e-16 ***
ori_grid1389    3.1193640  0.1279644    24.377  < 2e-16 ***
ori_grid1390    1.5972765  0.1300161    12.285  < 2e-16 ***
ori_grid1391    2.7413904  0.1281525    21.392  < 2e-16 ***
ori_grid1392    3.5880816  0.1278712    28.060  < 2e-16 ***
ori_grid1394    3.6673145  0.1279148    28.670  < 2e-16 ***
ori_grid1396    4.6640260  0.1278803    36.472  < 2e-16 ***
ori_grid1397    4.8295098  0.1278882    37.764  < 2e-16 ***
ori_grid1401    4.5968935  0.1277339    35.988  < 2e-16 ***
ori_grid1402    4.9964391  0.1277325    39.116  < 2e-16 ***
ori_grid1416   -0.2520623  0.2228546    -1.131 0.258029    
ori_grid1417    2.1474925  0.1295798    16.573  < 2e-16 ***
ori_grid1418    3.4743405  0.1282181    27.097  < 2e-16 ***
ori_grid1419    2.5168840  0.1280944    19.649  < 2e-16 ***
ori_grid1420    4.2594663  0.1277447    33.344  < 2e-16 ***
ori_grid1422    1.7186987  0.1315119    13.069  < 2e-16 ***
ori_grid1423    6.0523256  0.1277716    47.368  < 2e-16 ***
ori_grid1426    2.6244799  0.1288943    20.361  < 2e-16 ***
ori_grid1428    4.2853522  0.1277672    33.540  < 2e-16 ***
ori_grid1429    4.3300957  0.1278194    33.877  < 2e-16 ***
ori_grid1443    2.0451764  0.1284675    15.920  < 2e-16 ***
ori_grid1444    1.1009866  0.1303604     8.446  < 2e-16 ***
ori_grid1445    4.1040358  0.1277905    32.115  < 2e-16 ***
ori_grid1446    2.8721344  0.1282182    22.400  < 2e-16 ***
ori_grid1447    4.0391429  0.1277656    31.614  < 2e-16 ***
ori_grid1455    4.2291075  0.1279084    33.064  < 2e-16 ***
ori_grid1456    4.8087936  0.1277594    37.639  < 2e-16 ***
ori_grid1457    0.6841370  0.1370206     4.993 5.95e-07 ***
ori_grid1469    4.4148391  0.1277552    34.557  < 2e-16 ***
ori_grid1470    3.7711866  0.1278076    29.507  < 2e-16 ***
ori_grid1471    4.6240485  0.1277347    36.200  < 2e-16 ***
ori_grid1472    2.9011117  0.1281541    22.638  < 2e-16 ***
ori_grid1480   -0.6853664  0.1885550    -3.635 0.000278 ***
ori_grid1482    4.2086624  0.1277524    32.944  < 2e-16 ***
ori_grid1483    4.7447319  0.1278407    37.114  < 2e-16 ***
ori_grid1496    2.5492810  0.1284062    19.853  < 2e-16 ***
ori_grid1497   -0.1808175  0.1366979    -1.323 0.185917    
ori_grid1498    3.1239864  0.1279321    24.419  < 2e-16 ***
ori_grid1499    4.1792593  0.1277886    32.704  < 2e-16 ***
ori_grid1500    2.0014978  0.1300522    15.390  < 2e-16 ***
ori_grid1501    3.5593543  0.1278567    27.839  < 2e-16 ***
ori_grid1507    1.4289323  0.1423564    10.038  < 2e-16 ***
ori_grid1509    4.1061482  0.1278917    32.106  < 2e-16 ***
ori_grid1510    5.5548119  0.1276942    43.501  < 2e-16 ***
ori_grid1511    3.6663837  0.1280863    28.624  < 2e-16 ***
ori_grid1523    1.1543746  0.1357175     8.506  < 2e-16 ***
ori_grid1524    0.6980168  0.1331395     5.243 1.58e-07 ***
ori_grid1525    4.6627057  0.1277214    36.507  < 2e-16 ***
ori_grid1526    2.4334554  0.1285692    18.927  < 2e-16 ***
ori_grid1527    1.3936116  0.1374069    10.142  < 2e-16 ***
ori_grid1534    0.0019417  0.1604888     0.012 0.990347    
ori_grid1536    4.9838827  0.1277423    39.015  < 2e-16 ***
ori_grid1537    4.2432691  0.1278316    33.194  < 2e-16 ***
ori_grid1550    3.2893841  0.1279356    25.711  < 2e-16 ***
ori_grid1551    1.5599218  0.1292959    12.065  < 2e-16 ***
ori_grid1552    1.9845848  0.1296350    15.309  < 2e-16 ***
ori_grid1553    3.7858108  0.1277924    29.625  < 2e-16 ***
ori_grid1554    2.8578489  0.1284373    22.251  < 2e-16 ***
ori_grid1555    2.3282648  0.1283355    18.142  < 2e-16 ***
ori_grid1562    1.6349519  0.1410343    11.593  < 2e-16 ***
ori_grid1563    4.3304984  0.1279036    33.858  < 2e-16 ***
ori_grid1564    5.4783850  0.1277153    42.895  < 2e-16 ***
ori_grid1565    3.1154863  0.1280667    24.327  < 2e-16 ***
ori_grid1576    2.2864951  0.1305002    17.521  < 2e-16 ***
ori_grid1578    2.5410198  0.1281254    19.832  < 2e-16 ***
ori_grid1579    4.8343074  0.1277209    37.851  < 2e-16 ***
ori_grid1581    3.7055782  0.1278256    28.989  < 2e-16 ***
ori_grid1588    0.4844839  0.1642152     2.950 0.003175 ** 
ori_grid1590    5.6327642  0.1277269    44.100  < 2e-16 ***
ori_grid1591    5.1166805  0.1277322    40.058  < 2e-16 ***
ori_grid1592    1.6266201  0.1308496    12.431  < 2e-16 ***
ori_grid1604    2.7549245  0.1279752    21.527  < 2e-16 ***
ori_grid1605    4.0498961  0.1277574    31.700  < 2e-16 ***
ori_grid1606    3.6808064  0.1278024    28.801  < 2e-16 ***
ori_grid1607    2.8642353  0.1280043    22.376  < 2e-16 ***
ori_grid1616    1.6617452  0.1362415    12.197  < 2e-16 ***
ori_grid1617    4.0687920  0.1280723    31.769  < 2e-16 ***
ori_grid1618    4.9736657  0.1277218    38.941  < 2e-16 ***
ori_grid1619    3.9860675  0.1278444    31.179  < 2e-16 ***
ori_grid1620    1.4846706  0.1301787    11.405  < 2e-16 ***
ori_grid1630    2.1318791  0.1284856    16.592  < 2e-16 ***
ori_grid1631    3.1648554  0.1279193    24.741  < 2e-16 ***
ori_grid1632    4.4200237  0.1277604    34.596  < 2e-16 ***
ori_grid1633    3.1264077  0.1280083    24.423  < 2e-16 ***
ori_grid1634    4.1777344  0.1277800    32.695  < 2e-16 ***
ori_grid1635    2.0306550  0.1284710    15.806  < 2e-16 ***
ori_grid1642    1.2918628  0.1645076     7.853 4.06e-15 ***
ori_grid1644    4.3520325  0.1278413    34.042  < 2e-16 ***
ori_grid1645    4.9823306  0.1277410    39.003  < 2e-16 ***
ori_grid1646    2.8367945  0.1282253    22.124  < 2e-16 ***
ori_grid1647   -1.4727575  0.4651490    -3.166 0.001544 ** 
ori_grid1658    4.9751024  0.1277941    38.931  < 2e-16 ***
ori_grid1659    4.1604993  0.1277530    32.567  < 2e-16 ***
ori_grid1660    3.4397374  0.1282961    26.811  < 2e-16 ***
ori_grid1661    2.8235687  0.1281980    22.025  < 2e-16 ***
ori_grid1662    3.8328412  0.1278056    29.990  < 2e-16 ***
ori_grid1669   -0.6630708  0.2281174    -2.907 0.003653 ** 
ori_grid1670    0.7232574  0.1571879     4.601 4.20e-06 ***
ori_grid1672    4.1146432  0.1280418    32.135  < 2e-16 ***
ori_grid1673    2.5098283  0.1284751    19.536  < 2e-16 ***
ori_grid1674    2.8489471  0.1282981    22.206  < 2e-16 ***
ori_grid1684    4.4374092  0.1277390    34.738  < 2e-16 ***
ori_grid1685    3.6372880  0.1278518    28.449  < 2e-16 ***
ori_grid1686    4.2263242  0.1277642    33.079  < 2e-16 ***
ori_grid1687    1.6662039  0.1293397    12.882  < 2e-16 ***
ori_grid1688    1.6733434  0.1290239    12.969  < 2e-16 ***
ori_grid1689    1.3916630  0.1362549    10.214  < 2e-16 ***
ori_grid1695   -0.5888852  0.2575061    -2.287 0.022203 *  
ori_grid1699    4.0730112  0.1278215    31.865  < 2e-16 ***
ori_grid1700    0.5451363  0.1405886     3.878 0.000106 ***
ori_grid1701    1.9019374  0.1320115    14.407  < 2e-16 ***
ori_grid1712    3.8201445  0.1278815    29.873  < 2e-16 ***
ori_grid1713    4.6262142  0.1277206    36.221  < 2e-16 ***
ori_grid1714    2.4737996  0.1290028    19.176  < 2e-16 ***
ori_grid1716    3.4105203  0.1278382    26.678  < 2e-16 ***
ori_grid1723    2.0445668  0.1358801    15.047  < 2e-16 ***
ori_grid1726    1.6775767  0.1311348    12.793  < 2e-16 ***
ori_grid1727    5.3289245  0.1277500    41.714  < 2e-16 ***
ori_grid1728    2.3359540  0.1283871    18.195  < 2e-16 ***
ori_grid1738    2.8779978  0.1279597    22.491  < 2e-16 ***
ori_grid1739    3.9315335  0.1277527    30.775  < 2e-16 ***
ori_grid1740    2.9859319  0.1280305    23.322  < 2e-16 ***
ori_grid1741    3.1228612  0.1279898    24.399  < 2e-16 ***
ori_grid1743    1.6058115  0.1320753    12.158  < 2e-16 ***
ori_grid1744    0.1314097  0.1866083     0.704 0.481308    
ori_grid1748   -1.0187580  0.2180742    -4.672 2.99e-06 ***
ori_grid1749    4.5442005  0.1278116    35.554  < 2e-16 ***
ori_grid1753    5.0640095  0.1277227    39.648  < 2e-16 ***
ori_grid1754    4.0307675  0.1278372    31.530  < 2e-16 ***
ori_grid1765    4.4911783  0.1277356    35.160  < 2e-16 ***
ori_grid1766    4.9859786  0.1277371    39.033  < 2e-16 ***
ori_grid1767    4.5003888  0.1277373    35.232  < 2e-16 ***
ori_grid1768    1.4221697  0.1314722    10.817  < 2e-16 ***
ori_grid1770    2.1362844  0.1286115    16.610  < 2e-16 ***
ori_grid1771    0.8513400  0.1362726     6.247 4.18e-10 ***
ori_grid1776   -0.6202393  0.1780155    -3.484 0.000494 ***
ori_grid1777    3.2113293  0.1281478    25.060  < 2e-16 ***
ori_grid1778    1.1841692  0.1321587     8.960  < 2e-16 ***
ori_grid1780    2.9776523  0.1285642    23.161  < 2e-16 ***
ori_grid1781    4.9624190  0.1277461    38.846  < 2e-16 ***
ori_grid1792    4.1468023  0.1277758    32.454  < 2e-16 ***
ori_grid1793    4.8062395  0.1277159    37.632  < 2e-16 ***
ori_grid1794    3.7194896  0.1278158    29.100  < 2e-16 ***
ori_grid1795    2.7704021  0.1280515    21.635  < 2e-16 ***
ori_grid1796    3.3835546  0.1279756    26.439  < 2e-16 ***
ori_grid1798   -0.6472236  0.2017272    -3.208 0.001335 ** 
ori_grid1800    1.6154820  0.1324535    12.197  < 2e-16 ***
ori_grid1802    0.2789893  0.1417439     1.968 0.049038 *  
ori_grid1804   -0.5046498  0.1732133    -2.913 0.003574 ** 
ori_grid1805    3.1177117  0.1281614    24.326  < 2e-16 ***
ori_grid1806    4.0706482  0.1278199    31.847  < 2e-16 ***
ori_grid1807    4.3672128  0.1277863    34.176  < 2e-16 ***
ori_grid1808    1.9355068  0.1315553    14.712  < 2e-16 ***
ori_grid1820    4.2508911  0.1277552    33.274  < 2e-16 ***
ori_grid1821    4.9257615  0.1277119    38.569  < 2e-16 ***
ori_grid1822    3.0421726  0.1279920    23.768  < 2e-16 ***
ori_grid1823    2.9546577  0.1282119    23.045  < 2e-16 ***
ori_grid1824    3.7676527  0.1277961    29.482  < 2e-16 ***
ori_grid1827    3.8477663  0.1278506    30.096  < 2e-16 ***
ori_grid1828    3.3565279  0.1279949    26.224  < 2e-16 ***
ori_grid1829    2.9991424  0.1281338    23.406  < 2e-16 ***
ori_grid1831    2.2132403  0.1288899    17.172  < 2e-16 ***
ori_grid1833    4.9947583  0.1277237    39.106  < 2e-16 ***
ori_grid1834    3.8733651  0.1278565    30.295  < 2e-16 ***
ori_grid1835    4.7613236  0.1278034    37.255  < 2e-16 ***
ori_grid1846    0.5048484  0.1370336     3.684 0.000229 ***
ori_grid1847    4.6028016  0.1280226    35.953  < 2e-16 ***
ori_grid1848    3.7633819  0.1278014    29.447  < 2e-16 ***
ori_grid1849    4.1104457  0.1277335    32.180  < 2e-16 ***
ori_grid1850    3.4749269  0.1280152    27.145  < 2e-16 ***
ori_grid1852    0.4446738  0.1361047     3.267 0.001086 ** 
ori_grid1853    3.4192336  0.1279071    26.732  < 2e-16 ***
ori_grid1854    3.1824694  0.1280250    24.858  < 2e-16 ***
ori_grid1855    2.9985727  0.1281565    23.398  < 2e-16 ***
ori_grid1856    2.1269577  0.1413229    15.050  < 2e-16 ***
ori_grid1857   -0.6441030  0.1721526    -3.741 0.000183 ***
ori_grid1858    3.3587981  0.1279285    26.255  < 2e-16 ***
ori_grid1859    4.5038545  0.1278062    35.240  < 2e-16 ***
ori_grid1860    4.8263855  0.1277550    37.778  < 2e-16 ***
ori_grid1861    5.9069038  0.1277539    46.237  < 2e-16 ***
ori_grid1862    1.4679732  0.1340355    10.952  < 2e-16 ***
ori_grid1874    3.7537506  0.1277851    29.375  < 2e-16 ***
ori_grid1875    3.9805361  0.1277651    31.155  < 2e-16 ***
ori_grid1876    1.7287083  0.1291008    13.390  < 2e-16 ***
ori_grid1877    3.7149463  0.1278440    29.058  < 2e-16 ***
ori_grid1878    2.3959243  0.1283021    18.674  < 2e-16 ***
ori_grid1879    2.0929612  0.1285776    16.278  < 2e-16 ***
ori_grid1882    4.3140413  0.1277723    33.764  < 2e-16 ***
ori_grid1883    4.1594857  0.1278450    32.535  < 2e-16 ***
ori_grid1884    2.9078098  0.1284546    22.637  < 2e-16 ***
ori_grid1886    5.1912677  0.1277071    40.650  < 2e-16 ***
ori_grid1887    5.0401728  0.1277064    39.467  < 2e-16 ***
ori_grid1888    4.1864974  0.1278655    32.741  < 2e-16 ***
ori_grid1889    2.1412351  0.1394120    15.359  < 2e-16 ***
ori_grid1890    2.9848225  0.1340421    22.268  < 2e-16 ***
ori_grid1900    2.5525281  0.1284595    19.870  < 2e-16 ***
ori_grid1901    3.9556661  0.1277561    30.963  < 2e-16 ***
ori_grid1902    3.6560378  0.1278952    28.586  < 2e-16 ***
ori_grid1903    2.9098938  0.1285030    22.645  < 2e-16 ***
ori_grid1904    3.5574802  0.1278856    27.818  < 2e-16 ***
ori_grid1905    2.9879742  0.1279315    23.356  < 2e-16 ***
ori_grid1906    3.1948621  0.1278875    24.982  < 2e-16 ***
ori_grid1907    3.9875337  0.1277862    31.205  < 2e-16 ***
ori_grid1908    3.8888220  0.1279250    30.399  < 2e-16 ***
ori_grid1909    5.1383028  0.1277445    40.223  < 2e-16 ***
ori_grid1910    3.7067753  0.1279536    28.970  < 2e-16 ***
ori_grid1912    3.1872071  0.1286050    24.783  < 2e-16 ***
ori_grid1913    4.1181320  0.1278352    32.214  < 2e-16 ***
ori_grid1914    5.4868082  0.1277330    42.955  < 2e-16 ***
ori_grid1916    4.6686664  0.1288388    36.236  < 2e-16 ***
ori_grid1928    3.8890074  0.1277957    30.431  < 2e-16 ***
ori_grid1929    3.5436805  0.1278273    27.722  < 2e-16 ***
ori_grid1930    3.2175124  0.1278442    25.167  < 2e-16 ***
ori_grid1931    3.2579202  0.1278937    25.474  < 2e-16 ***
ori_grid1932    3.6356077  0.1278224    28.443  < 2e-16 ***
ori_grid1933    3.7852748  0.1279533    29.583  < 2e-16 ***
ori_grid1934    2.1610927  0.1283015    16.844  < 2e-16 ***
ori_grid1935    4.2709076  0.1277631    33.428  < 2e-16 ***
ori_grid1936    4.6298155  0.1277549    36.240  < 2e-16 ***
ori_grid1937    4.1188512  0.1277934    32.231  < 2e-16 ***
ori_grid1938    1.1604079  0.1339997     8.660  < 2e-16 ***
ori_grid1940    5.9418681  0.1277248    46.521  < 2e-16 ***
ori_grid1941    5.1031130  0.1277797    39.937  < 2e-16 ***
ori_grid1942    4.1173890  0.1280584    32.152  < 2e-16 ***
ori_grid1954    2.8148744  0.1284410    21.916  < 2e-16 ***
ori_grid1955    4.0269143  0.1277639    31.518  < 2e-16 ***
ori_grid1956    3.0655005  0.1279990    23.949  < 2e-16 ***
ori_grid1958    4.1276408  0.1277687    32.306  < 2e-16 ***
ori_grid1959    4.4456221  0.1277229    34.807  < 2e-16 ***
ori_grid1960    4.6797414  0.1277757    36.625  < 2e-16 ***
ori_grid1961    4.1477570  0.1277520    32.467  < 2e-16 ***
ori_grid1962    4.7277890  0.1277311    37.014  < 2e-16 ***
ori_grid1963    3.7797331  0.1278062    29.574  < 2e-16 ***
ori_grid1964    3.0773562  0.1279776    24.046  < 2e-16 ***
ori_grid1967    6.1534979  0.1277212    48.179  < 2e-16 ***
ori_grid1968    5.8135021  0.1277556    45.505  < 2e-16 ***
ori_grid1982    2.9638275  0.1279276    23.168  < 2e-16 ***
ori_grid1983    3.3800109  0.1278121    26.445  < 2e-16 ***
ori_grid1984    4.2414367  0.1277315    33.206  < 2e-16 ***
ori_grid1985    3.0357585  0.1279508    23.726  < 2e-16 ***
ori_grid1986    4.2659498  0.1278027    33.379  < 2e-16 ***
ori_grid1987    5.1126336  0.1276980    40.037  < 2e-16 ***
ori_grid1988    3.6231345  0.1277984    28.350  < 2e-16 ***
ori_grid1989    4.5965180  0.1277307    35.986  < 2e-16 ***
ori_grid1990    5.3744778  0.1276950    42.088  < 2e-16 ***
ori_grid1991    5.3480375  0.1277124    41.876  < 2e-16 ***
ori_grid1992    2.3353293  0.1284980    18.174  < 2e-16 ***
ori_grid1994    4.5205734  0.1279409    35.333  < 2e-16 ***
ori_grid1995    6.3411057  0.1277287    49.645  < 2e-16 ***
ori_grid2009    2.7873408  0.1279686    21.781  < 2e-16 ***
ori_grid2010    3.5703800  0.1277798    27.942  < 2e-16 ***
ori_grid2011    4.4194020  0.1277281    34.600  < 2e-16 ***
ori_grid2012    3.7769033  0.1278390    29.544  < 2e-16 ***
ori_grid2013    3.8079256  0.1277713    29.803  < 2e-16 ***
ori_grid2014    4.2273144  0.1277420    33.093  < 2e-16 ***
ori_grid2015    3.9927082  0.1277766    31.248  < 2e-16 ***
ori_grid2016    4.5693415  0.1277413    35.770  < 2e-16 ***
ori_grid2017    4.3021527  0.1277730    33.670  < 2e-16 ***
ori_grid2021    4.6073869  0.1278788    36.029  < 2e-16 ***
ori_grid2036    0.0948650  0.1631334     0.582 0.560892    
ori_grid2037    1.8417124  0.1285617    14.326  < 2e-16 ***
ori_grid2038    3.8575312  0.1277516    30.196  < 2e-16 ***
ori_grid2039    4.6355764  0.1277663    36.282  < 2e-16 ***
ori_grid2040    4.9863008  0.1277236    39.040  < 2e-16 ***
ori_grid2041    5.8343392  0.1277270    45.678  < 2e-16 ***
ori_grid2042    4.4660604  0.1277462    34.960  < 2e-16 ***
ori_grid2043    2.8438527  0.1279912    22.219  < 2e-16 ***
ori_grid2044    4.9976473  0.1277183    39.130  < 2e-16 ***
ori_grid2046    3.4658887  0.1280286    27.071  < 2e-16 ***
ori_grid2049    4.7930192  0.1278968    37.476  < 2e-16 ***
ori_grid2063    1.8121526  0.1294960    13.994  < 2e-16 ***
ori_grid2064    2.4063694  0.1281743    18.774  < 2e-16 ***
ori_grid2065    3.6442486  0.1277839    28.519  < 2e-16 ***
ori_grid2066    3.8952724  0.1277814    30.484  < 2e-16 ***
ori_grid2067    4.4317842  0.1277242    34.698  < 2e-16 ***
ori_grid2068    4.2420199  0.1277591    33.203  < 2e-16 ***
ori_grid2069    2.6282943  0.1281335    20.512  < 2e-16 ***
ori_grid2070    5.2813152  0.1277368    41.345  < 2e-16 ***
ori_grid2071    3.5548502  0.1278632    27.802  < 2e-16 ***
ori_grid2072    2.7900299  0.1295632    21.534  < 2e-16 ***
ori_grid2074   -0.7456645  0.2081617    -3.582 0.000341 ***
ori_grid2089    2.1180898  0.1548989    13.674  < 2e-16 ***
ori_grid2090   -0.2016914  1.0137304    -0.199 0.842294    
ori_grid2091    1.4038877  0.1300099    10.798  < 2e-16 ***
ori_grid2092    3.0648107  0.1279630    23.951  < 2e-16 ***
ori_grid2093    4.0251659  0.1277576    31.506  < 2e-16 ***
ori_grid2094    4.5292919  0.1277352    35.458  < 2e-16 ***
ori_grid2095    5.5847417  0.1277983    43.700  < 2e-16 ***
ori_grid2096    2.1508152  0.1284754    16.741  < 2e-16 ***
ori_grid2097    2.4986745  0.1303252    19.173  < 2e-16 ***
ori_grid2098    3.3192890  0.1279281    25.947  < 2e-16 ***
ori_grid2100    1.8392749  0.1313871    13.999  < 2e-16 ***
ori_grid2101    0.8038318  0.1421077     5.656 1.54e-08 ***
ori_grid2102    0.8800699  0.1371901     6.415 1.41e-10 ***
ori_grid2116    2.2313860  0.1452167    15.366  < 2e-16 ***
ori_grid2117    0.1712545  1.0137304     0.169 0.865848    
ori_grid2119    3.9613953  0.1277599    31.007  < 2e-16 ***
ori_grid2120    3.5648947  0.1278108    27.892  < 2e-16 ***
ori_grid2121    3.6575785  0.1277998    28.620  < 2e-16 ***
ori_grid2122    1.2931623  0.1352440     9.562  < 2e-16 ***
ori_grid2123    3.8539711  0.1277878    30.159  < 2e-16 ***
ori_grid2124    3.7980510  0.1279913    29.674  < 2e-16 ***
ori_grid2125    3.1330597  0.1280026    24.477  < 2e-16 ***
ori_grid2126    2.8166443  0.1284024    21.936  < 2e-16 ***
ori_grid2129    0.0462024  0.1596184     0.289 0.772233    
ori_grid2146    3.6676809  0.1285784    28.525  < 2e-16 ***
ori_grid2147    3.9947549  0.1277492    31.270  < 2e-16 ***
ori_grid2148    4.8606315  0.1277134    38.059  < 2e-16 ***
ori_grid2149    4.3325962  0.1277724    33.909  < 2e-16 ***
ori_grid2150    2.9585060  0.1280131    23.111  < 2e-16 ***
ori_grid2151    3.5181414  0.1278881    27.510  < 2e-16 ***
ori_grid2152    4.4291071  0.1277557    34.669  < 2e-16 ***
ori_grid2153    1.7659133  0.1309603    13.484  < 2e-16 ***
ori_grid2154    4.4752394  0.1278277    35.010  < 2e-16 ***
ori_grid2155    1.4050767  0.1321197    10.635  < 2e-16 ***
ori_grid2171   -0.0120281  0.2886815    -0.042 0.966765    
ori_grid2172    4.4606994  0.1281897    34.798  < 2e-16 ***
ori_grid2174    3.5216768  0.1280272    27.507  < 2e-16 ***
ori_grid2175    4.5391081  0.1277281    35.537  < 2e-16 ***
ori_grid2176    4.3323270  0.1277490    33.913  < 2e-16 ***
ori_grid2177    4.8515264  0.1277055    37.990  < 2e-16 ***
ori_grid2178    3.8764228  0.1278059    30.331  < 2e-16 ***
ori_grid2179    4.2499852  0.1277868    33.258  < 2e-16 ***
ori_grid2180    4.6975901  0.1277604    36.769  < 2e-16 ***
ori_grid2181    4.7411234  0.1277580    37.110  < 2e-16 ***
ori_grid2182    1.5142404  0.1364865    11.094  < 2e-16 ***
ori_grid2200    3.2139230  0.1287896    24.955  < 2e-16 ***
ori_grid2201    4.4942214  0.1277227    35.187  < 2e-16 ***
ori_grid2202    2.2083162  0.1287314    17.154  < 2e-16 ***
ori_grid2203    4.5658517  0.1277803    35.732  < 2e-16 ***
ori_grid2204    3.5955689  0.1277990    28.135  < 2e-16 ***
ori_grid2205    3.6550130  0.1278207    28.595  < 2e-16 ***
ori_grid2206    5.0307407  0.1277117    39.391  < 2e-16 ***
ori_grid2207    3.9458893  0.1278145    30.872  < 2e-16 ***
ori_grid2208    5.3024249  0.1277347    41.511  < 2e-16 ***
ori_grid2209    0.6696058  0.1463972     4.574 4.79e-06 ***
ori_grid2227    3.0431306  0.1280031    23.774  < 2e-16 ***
ori_grid2228    4.4492017  0.1277480    34.828  < 2e-16 ***
ori_grid2229    3.5904439  0.1278020    28.094  < 2e-16 ***
ori_grid2230    3.5510306  0.1279676    27.749  < 2e-16 ***
ori_grid2231    4.1462655  0.1277538    32.455  < 2e-16 ***
ori_grid2233    5.1937227  0.1277096    40.668  < 2e-16 ***
ori_grid2234    0.9626968  0.1344579     7.160 8.08e-13 ***
ori_grid2235    3.1120795  0.1317375    23.623  < 2e-16 ***
ori_grid2254    2.8270370  0.1287272    21.961  < 2e-16 ***
ori_grid2255    4.3540072  0.1277453    34.083  < 2e-16 ***
ori_grid2256    3.8333594  0.1277991    29.995  < 2e-16 ***
ori_grid2257    3.0479949  0.1281471    23.785  < 2e-16 ***
ori_grid2258    3.5712860  0.1278527    27.933  < 2e-16 ***
ori_grid2259    2.7705404  0.1282120    21.609  < 2e-16 ***
ori_grid2260    4.9379929  0.1277285    38.660  < 2e-16 ***
ori_grid2261    5.1225549  0.1277326    40.104  < 2e-16 ***
ori_grid2262    4.7136786  0.1277942    36.885  < 2e-16 ***
ori_grid2281    4.3150632  0.1277602    33.775  < 2e-16 ***
ori_grid2282    4.2474330  0.1277522    33.247  < 2e-16 ***
ori_grid2283    4.3206146  0.1277428    33.823  < 2e-16 ***
ori_grid2284    3.0245206  0.1279284    23.642  < 2e-16 ***
ori_grid2285    5.1523001  0.1277382    40.335  < 2e-16 ***
ori_grid2286    3.5530008  0.1278866    27.782  < 2e-16 ***
ori_grid2287    5.3370880  0.1277129    41.790  < 2e-16 ***
ori_grid2288    4.1776732  0.1279172    32.659  < 2e-16 ***
ori_grid2308    3.6301666  0.1279440    28.373  < 2e-16 ***
ori_grid2309    4.5004982  0.1277336    35.233  < 2e-16 ***
ori_grid2310    3.9671870  0.1277596    31.052  < 2e-16 ***
ori_grid2311    3.9686649  0.1277532    31.065  < 2e-16 ***
ori_grid2312    1.5818921  0.1293061    12.234  < 2e-16 ***
ori_grid2313    4.1468686  0.1277669    32.457  < 2e-16 ***
ori_grid2314    4.8631609  0.1277066    38.081  < 2e-16 ***
ori_grid2315    4.1437793  0.1278027    32.423  < 2e-16 ***
ori_grid2316    5.6091781  0.1277279    43.915  < 2e-16 ***
ori_grid2317    5.8664548  0.1280233    45.823  < 2e-16 ***
ori_grid2335    3.0697470  0.1280505    23.973  < 2e-16 ***
ori_grid2336    4.2960570  0.1277283    33.634  < 2e-16 ***
ori_grid2337    3.3104702  0.1278349    25.896  < 2e-16 ***
ori_grid2338    1.1012470  0.1304042     8.445  < 2e-16 ***
ori_grid2339    4.3313743  0.1277510    33.905  < 2e-16 ***
ori_grid2340    4.9943606  0.1277115    39.107  < 2e-16 ***
ori_grid2341    4.7824348  0.1277205    37.445  < 2e-16 ***
ori_grid2342    4.6605145  0.1277437    36.483  < 2e-16 ***
ori_grid2343    5.0026546  0.1277657    39.155  < 2e-16 ***
ori_grid2362    3.3037157  0.1280860    25.793  < 2e-16 ***
ori_grid2363    3.8911681  0.1278135    30.444  < 2e-16 ***
ori_grid2364    1.1799670  0.1322200     8.924  < 2e-16 ***
ori_grid2365    2.5222056  0.1280515    19.697  < 2e-16 ***
ori_grid2366   -1.4816288  0.2228123    -6.650 2.94e-11 ***
ori_grid2367    4.0404744  0.1277956    31.617  < 2e-16 ***
ori_grid2368    4.6243915  0.1277273    36.205  < 2e-16 ***
ori_grid2369    4.4930879  0.1277386    35.174  < 2e-16 ***
ori_grid2370    4.8647920  0.1277137    38.091  < 2e-16 ***
ori_grid2371    5.2568734  0.1277319    41.156  < 2e-16 ***
ori_grid2389    3.5508081  0.1278490    27.773  < 2e-16 ***
ori_grid2390    4.2724773  0.1277329    33.449  < 2e-16 ***
ori_grid2391    4.0721834  0.1277843    31.868  < 2e-16 ***
ori_grid2392    2.7947748  0.1284158    21.763  < 2e-16 ***
ori_grid2393    1.2091415  0.1305086     9.265  < 2e-16 ***
ori_grid2394    3.2663748  0.1280026    25.518  < 2e-16 ***
ori_grid2395    4.7128940  0.1277317    36.897  < 2e-16 ***
ori_grid2396    5.0537649  0.1277168    39.570  < 2e-16 ***
ori_grid2397    4.3861628  0.1278403    34.310  < 2e-16 ***
ori_grid2398    5.1042214  0.1279199    39.902  < 2e-16 ***
ori_grid2416    3.6799060  0.1278773    28.777  < 2e-16 ***
ori_grid2417    4.3129349  0.1278704    33.729  < 2e-16 ***
ori_grid2418    3.7960767  0.1277906    29.705  < 2e-16 ***
ori_grid2419    3.3605747  0.1278254    26.290  < 2e-16 ***
ori_grid2420    2.7219383  0.1299902    20.940  < 2e-16 ***
ori_grid2422    4.1103066  0.1283236    32.031  < 2e-16 ***
ori_grid2423    4.4356184  0.1277780    34.713  < 2e-16 ***
ori_grid2424    5.6301192  0.1277028    44.088  < 2e-16 ***
ori_grid2425    4.8797967  0.1277221    38.206  < 2e-16 ***
ori_grid2426    5.2178176  0.1280982    40.733  < 2e-16 ***
ori_grid2443    4.3393914  0.1277372    33.971  < 2e-16 ***
ori_grid2444    4.6070400  0.1277174    36.072  < 2e-16 ***
ori_grid2445    4.7184646  0.1277156    36.945  < 2e-16 ***
ori_grid2448    1.6606666  0.1309678    12.680  < 2e-16 ***
ori_grid2449    4.9442095  0.1277931    38.689  < 2e-16 ***
ori_grid2450    5.0285646  0.1277513    39.362  < 2e-16 ***
ori_grid2451    5.7845061  0.1277026    45.297  < 2e-16 ***
ori_grid2452    2.4021177  0.1324175    18.140  < 2e-16 ***
ori_grid2471    3.9182738  0.1277869    30.663  < 2e-16 ***
ori_grid2472    3.1087897  0.1285649    24.181  < 2e-16 ***
ori_grid2473    4.3656763  0.1277558    34.172  < 2e-16 ***
ori_grid2476    1.7295057  0.1301269    13.291  < 2e-16 ***
ori_grid2478    4.7601604  0.1277916    37.249  < 2e-16 ***
ori_grid2479    3.7059155  0.1281847    28.911  < 2e-16 ***
ori_grid2480    2.4259432  0.1328516    18.261  < 2e-16 ***
ori_grid2497    4.6809046  0.1277257    36.648  < 2e-16 ***
ori_grid2498    3.1419859  0.1279845    24.550  < 2e-16 ***
ori_grid2499    4.9038467  0.1277480    38.387  < 2e-16 ***
ori_grid2500    0.9881314  0.1344590     7.349 2.00e-13 ***
ori_grid2503   -0.7253283  0.1989155    -3.646 0.000266 ***
ori_grid2504    3.3186391  0.1283930    25.848  < 2e-16 ***
ori_grid2505    4.6708269  0.1277901    36.551  < 2e-16 ***
ori_grid2525    3.5270463  0.1278957    27.578  < 2e-16 ***
ori_grid2526    4.3011240  0.1277531    33.667  < 2e-16 ***
ori_grid2527    4.5191324  0.1277342    35.379  < 2e-16 ***
ori_grid2531   -1.6450406  0.4651094    -3.537 0.000405 ***
ori_grid2532    4.6328846  0.1278007    36.251  < 2e-16 ***
ori_grid2533    6.0347396  0.1278726    47.193  < 2e-16 ***
ori_grid2551    3.5117466  0.1278640    27.465  < 2e-16 ***
ori_grid2552    3.3266925  0.1282629    25.937  < 2e-16 ***
ori_grid2553    4.3236601  0.1279209    33.799  < 2e-16 ***
ori_grid2554    3.0407958  0.1280868    23.740  < 2e-16 ***
ori_grid2557    1.8693846  0.1302446    14.353  < 2e-16 ***
ori_grid2559    4.7566815  0.1278988    37.191  < 2e-16 ***
ori_grid2579    3.6851438  0.1278471    28.825  < 2e-16 ***
ori_grid2580    4.4204081  0.1277373    34.605  < 2e-16 ***
ori_grid2581    4.1968521  0.1278043    32.838  < 2e-16 ***
ori_grid2584    0.8198077  0.1420653     5.771 7.90e-09 ***
ori_grid2605    3.4245127  0.1280063    26.753  < 2e-16 ***
ori_grid2606    3.8354017  0.1285989    29.825  < 2e-16 ***
ori_grid2607    5.3402610  0.1277181    41.813  < 2e-16 ***
ori_grid2608    3.6313627  0.1279088    28.390  < 2e-16 ***
ori_grid2609    3.1220477  0.1284612    24.303  < 2e-16 ***
ori_grid2610    2.3696447  0.1298974    18.242  < 2e-16 ***
ori_grid2611    0.7372336  0.1520277     4.849 1.24e-06 ***
ori_grid2633    3.5764150  0.1278433    27.975  < 2e-16 ***
ori_grid2634    4.9440782  0.1277019    38.716  < 2e-16 ***
ori_grid2635    4.9276628  0.1277655    38.568  < 2e-16 ***
ori_grid2636    4.6643103  0.1277459    36.512  < 2e-16 ***
ori_grid2637    3.3419117  0.1280379    26.101  < 2e-16 ***
ori_grid2638    3.0605436  0.1280863    23.894  < 2e-16 ***
ori_grid2660    3.1923070  0.1279212    24.955  < 2e-16 ***
ori_grid2661    4.6874478  0.1277308    36.698  < 2e-16 ***
ori_grid2662    3.7496708  0.1278211    29.335  < 2e-16 ***
ori_grid2663    5.3823972  0.1277225    42.141  < 2e-16 ***
ori_grid2664    3.7531219  0.1278366    29.359  < 2e-16 ***
ori_grid2665    4.2675280  0.1277595    33.403  < 2e-16 ***
ori_grid2687    3.6257807  0.1278574    28.358  < 2e-16 ***
ori_grid2688    4.5381077  0.1277317    35.528  < 2e-16 ***
ori_grid2689    4.8544041  0.1277269    38.006  < 2e-16 ***
ori_grid2690    3.9389814  0.1277878    30.824  < 2e-16 ***
ori_grid2691    5.2943245  0.1277147    41.454  < 2e-16 ***
ori_grid2693    4.6919873  0.1277461    36.729  < 2e-16 ***
ori_grid2714    4.0949521  0.1277795    32.047  < 2e-16 ***
ori_grid2715    5.2860753  0.1277441    41.380  < 2e-16 ***
ori_grid2716    1.1024701  0.1301906     8.468  < 2e-16 ***
ori_grid2717    4.1613627  0.1277463    32.575  < 2e-16 ***
ori_grid2718    4.6351021  0.1277891    36.271  < 2e-16 ***
ori_grid2719    4.9855521  0.1277365    39.030  < 2e-16 ***
ori_grid2742    4.6149681  0.1277316    36.130  < 2e-16 ***
ori_grid2743    3.3764278  0.1281328    26.351  < 2e-16 ***
ori_grid2744    4.6460479  0.1277168    36.378  < 2e-16 ***
ori_grid2745    4.5825663  0.1277254    35.878  < 2e-16 ***
ori_grid2746    3.7096084  0.1280691    28.966  < 2e-16 ***
ori_grid2747    4.2718745  0.1278239    33.420  < 2e-16 ***
ori_grid2768    4.3321648  0.1277685    33.906  < 2e-16 ***
ori_grid2769    4.6892262  0.1277249    36.713  < 2e-16 ***
ori_grid2770    3.0881575  0.1279242    24.141  < 2e-16 ***
ori_grid2771    4.9231138  0.1277014    38.552  < 2e-16 ***
ori_grid2772    4.1195226  0.1279535    32.195  < 2e-16 ***
ori_grid2773    4.4165015  0.1277628    34.568  < 2e-16 ***
ori_grid2795    1.0232838  0.1612875     6.344 2.23e-10 ***
ori_grid2796    2.3631351  0.1294204    18.259  < 2e-16 ***
ori_grid2797    3.2782980  0.1278922    25.633  < 2e-16 ***
ori_grid2798    3.9651750  0.1277897    31.029  < 2e-16 ***
ori_grid2799    4.4667285  0.1277445    34.966  < 2e-16 ***
ori_grid2800    4.3643269  0.1277561    34.161  < 2e-16 ***
ori_grid2801    2.6471734  0.1305566    20.276  < 2e-16 ***
ori_grid2822    1.9436377  0.1288900    15.080  < 2e-16 ***
ori_grid2823    2.4347089  0.1282359    18.986  < 2e-16 ***
ori_grid2824    4.0507465  0.1277879    31.699  < 2e-16 ***
ori_grid2825    4.8451937  0.1277188    37.936  < 2e-16 ***
ori_grid2826    4.8782496  0.1277741    38.179  < 2e-16 ***
ori_grid2827    4.5093262  0.1277290    35.304  < 2e-16 ***
ori_grid2850    3.4122248  0.1281201    26.633  < 2e-16 ***
ori_grid2851    1.7547143  0.1286570    13.639  < 2e-16 ***
ori_grid2852    4.5597247  0.1277539    35.691  < 2e-16 ***
ori_grid2853    5.0741444  0.1277070    39.733  < 2e-16 ***
ori_grid2854    4.9916172  0.1277260    39.081  < 2e-16 ***
ori_grid2877    2.3868872  0.1288307    18.527  < 2e-16 ***
ori_grid2878    3.8867308  0.1278077    30.411  < 2e-16 ***
ori_grid2879    4.8161699  0.1277837    37.690  < 2e-16 ***
ori_grid2880    4.3490097  0.1277607    34.040  < 2e-16 ***
ori_grid2881    4.8099497  0.1277481    37.652  < 2e-16 ***
ori_grid2905    3.7667702  0.1278932    29.452  < 2e-16 ***
ori_grid2906    3.2816349  0.1280287    25.632  < 2e-16 ***
ori_grid2907    4.3521507  0.1277523    34.067  < 2e-16 ***
ori_grid2908    4.5438504  0.1277615    35.565  < 2e-16 ***
ori_grid2909    4.2064245  0.1292436    32.546  < 2e-16 ***
ori_grid2931    0.2918952  0.1347724     2.166 0.030324 *  
ori_grid2932   -0.5785579  0.1450809    -3.988 6.67e-05 ***
ori_grid2933    2.4779733  0.1282128    19.327  < 2e-16 ***
ori_grid2934    3.7835445  0.1278034    29.604  < 2e-16 ***
ori_grid2959    1.0000504  0.1306299     7.656 1.92e-14 ***
ori_grid2960    1.5478433  0.1290703    11.992  < 2e-16 ***
ori_grid2961    3.7655698  0.1278958    29.442  < 2e-16 ***
ori_grid2962    3.4489450  0.1279378    26.958  < 2e-16 ***
ori_grid2963    1.1319182  0.1473512     7.682 1.57e-14 ***
ori_grid2987    0.9390560  0.1337288     7.022 2.19e-12 ***
ori_grid2988    1.9897464  0.1294764    15.368  < 2e-16 ***
ori_grid2989    2.0434701  0.1288410    15.860  < 2e-16 ***
ori_grid2990    2.1444289  0.1332198    16.097  < 2e-16 ***
ori_grid3015    3.3368363  0.1291946    25.828  < 2e-16 ***
ori_grid3016    2.7881305  0.1286598    21.671  < 2e-16 ***
ori_grid3017    0.9236072  0.1324647     6.972 3.11e-12 ***
ori_grid3040    3.4224029  0.1279614    26.746  < 2e-16 ***
ori_grid3043    2.1166152  0.1288201    16.431  < 2e-16 ***
ori_grid3044    2.0343478  0.1289500    15.776  < 2e-16 ***
ori_grid3068    2.1085835  0.1290513    16.339  < 2e-16 ***
ori_grid3070    0.5178701  0.1443957     3.586 0.000335 ***
ori_grid3072    1.7924269  0.1366599    13.116  < 2e-16 ***
ori_grid3092    4.2329178  0.1285765    32.921  < 2e-16 ***
ori_grid3098    3.4572477  0.1279662    27.017  < 2e-16 ***
ori_grid3123    3.9206958  0.1278124    30.675  < 2e-16 ***
ori_grid3126   -1.3169033  0.2962144    -4.446 8.76e-06 ***
ori_grid3151    2.3142713  0.1284972    18.010  < 2e-16 ***
ori_grid3152   -0.6806226  0.1716501    -3.965 7.33e-05 ***
ori_grid3173    3.9331702  0.1288092    30.535  < 2e-16 ***
ori_grid3178    2.4103703  0.1292059    18.655  < 2e-16 ***
ori_grid3179    2.2018937  0.1295230    17.000  < 2e-16 ***
ori_grid3205    1.9157011  0.1312643    14.594  < 2e-16 ***
ori_grid3206    3.3420418  0.1280928    26.091  < 2e-16 ***
ori_grid3232    2.1694069  0.1346577    16.111  < 2e-16 ***
ori_grid3233    1.7098069  0.1401423    12.201  < 2e-16 ***
ori_grid3308    2.8141314  0.1334063    21.094  < 2e-16 ***
desti_grid146   1.4746715  0.0552814    26.676  < 2e-16 ***
desti_grid174   0.2891124  0.0580662     4.979 6.39e-07 ***
desti_grid175   0.8848560  0.0542540    16.309  < 2e-16 ***
desti_grid200   0.6354167  0.0610629    10.406  < 2e-16 ***
desti_grid201   0.9224596  0.0525680    17.548  < 2e-16 ***
desti_grid202  -0.1696098  0.0571730    -2.967 0.003011 ** 
desti_grid203   0.7087875  0.0545028    13.005  < 2e-16 ***
desti_grid227  -0.6196091  0.0653937    -9.475  < 2e-16 ***
desti_grid228   0.2636061  0.0534353     4.933 8.09e-07 ***
desti_grid229  -2.5812360  0.1125707   -22.930  < 2e-16 ***
desti_grid230   1.1011688  0.0523530    21.034  < 2e-16 ***
desti_grid231  -1.5264673  0.0601036   -25.397  < 2e-16 ***
desti_grid254   1.8209392  0.0537810    33.858  < 2e-16 ***
desti_grid255   0.2618059  0.0542833     4.823 1.41e-06 ***
desti_grid256   1.4600206  0.0523134    27.909  < 2e-16 ***
desti_grid257  -0.1955136  0.0549172    -3.560 0.000371 ***
desti_grid258   0.4146021  0.0548748     7.555 4.18e-14 ***
desti_grid259  -0.2077495  0.0528163    -3.933 8.37e-05 ***
desti_grid281  -0.8058107  0.0672818   -11.977  < 2e-16 ***
desti_grid282  -0.5847756  0.0583902   -10.015  < 2e-16 ***
desti_grid284   1.3118986  0.0515331    25.457  < 2e-16 ***
desti_grid285   0.1453890  0.0517873     2.807 0.004994 ** 
desti_grid286  -0.1163249  0.0515220    -2.258 0.023960 *  
desti_grid312   0.7931379  0.0519667    15.262  < 2e-16 ***
desti_grid313   0.1111090  0.0561247     1.980 0.047739 *  
desti_grid314  -0.0340517  0.0532765    -0.639 0.522725    
desti_grid336  -0.8396799  0.0656291   -12.794  < 2e-16 ***
desti_grid338  -0.5485539  0.0560777    -9.782  < 2e-16 ***
desti_grid339  -1.1068322  0.0530865   -20.850  < 2e-16 ***
desti_grid340  -4.0432958  0.2631604   -15.364  < 2e-16 ***
desti_grid366  -1.1909459  0.0530103   -22.466  < 2e-16 ***
desti_grid367   0.2311683  0.0518670     4.457 8.31e-06 ***
desti_grid391   0.2698899  0.0585591     4.609 4.05e-06 ***
desti_grid392  -1.0229265  0.0537351   -19.036  < 2e-16 ***
desti_grid393   0.8242442  0.0513868    16.040  < 2e-16 ***
desti_grid394  -1.6446345  0.0935164   -17.587  < 2e-16 ***
desti_grid419   1.1656688  0.0537905    21.671  < 2e-16 ***
desti_grid420  -0.0762318  0.0529283    -1.440 0.149787    
desti_grid421   0.0272569  0.0558128     0.488 0.625293    
desti_grid445   1.8118932  0.0523912    34.584  < 2e-16 ***
desti_grid446  -1.3339195  0.0545198   -24.467  < 2e-16 ***
desti_grid447  -0.3949285  0.0535500    -7.375 1.64e-13 ***
desti_grid472   0.0347924  0.0601418     0.579 0.562923    
desti_grid473   0.8325327  0.0522390    15.937  < 2e-16 ***
desti_grid474  -0.0329655  0.0532160    -0.619 0.535609    
desti_grid499   1.7009551  0.0523957    32.464  < 2e-16 ***
desti_grid500  -0.4156120  0.0528440    -7.865 3.69e-15 ***
desti_grid526   2.2219316  0.0518778    42.830  < 2e-16 ***
desti_grid527   0.8460348  0.0533191    15.867  < 2e-16 ***
desti_grid528   1.4856448  0.0513640    28.924  < 2e-16 ***
desti_grid552   1.0823565  0.0543834    19.902  < 2e-16 ***
desti_grid553  -2.1613685  0.0779143   -27.740  < 2e-16 ***
desti_grid554   1.4869852  0.0518960    28.653  < 2e-16 ***
desti_grid555   0.8973909  0.0516724    17.367  < 2e-16 ***
desti_grid581   1.5492731  0.0514129    30.134  < 2e-16 ***
desti_grid582  -0.1514538  0.0521342    -2.905 0.003672 ** 
desti_grid607   0.8388080  0.0539360    15.552  < 2e-16 ***
desti_grid608   1.1476047  0.0522534    21.962  < 2e-16 ***
desti_grid609   0.3355831  0.0509994     6.580 4.70e-11 ***
desti_grid610   1.2687934  0.0514835    24.645  < 2e-16 ***
desti_grid611  -0.7695769  0.0576806   -13.342  < 2e-16 ***
desti_grid634   1.5704779  0.0527511    29.771  < 2e-16 ***
desti_grid635   1.8034916  0.0518754    34.766  < 2e-16 ***
desti_grid636  -0.3098003  0.0519922    -5.959 2.54e-09 ***
desti_grid638   2.2190963  0.0510163    43.498  < 2e-16 ***
desti_grid661   0.2710145  0.0551324     4.916 8.85e-07 ***
desti_grid662   1.4058442  0.0521919    26.936  < 2e-16 ***
desti_grid663  -0.5507276  0.0516924   -10.654  < 2e-16 ***
desti_grid664   0.8092488  0.0516241    15.676  < 2e-16 ***
desti_grid665  -0.0419971  0.0521405    -0.805 0.420555    
desti_grid689   0.0651718  0.0535014     1.218 0.223174    
desti_grid690   0.1279920  0.0516838     2.476 0.013270 *  
desti_grid692  -0.2969439  0.0525412    -5.652 1.59e-08 ***
desti_grid693  -0.7780541  0.0566752   -13.728  < 2e-16 ***
desti_grid715   0.1500270  0.0553089     2.713 0.006677 ** 
desti_grid716   0.0070884  0.0533362     0.133 0.894272    
desti_grid717  -0.7624839  0.0519237   -14.685  < 2e-16 ***
desti_grid718   0.1646113  0.0510850     3.222 0.001272 ** 
desti_grid719  -0.3887464  0.0543323    -7.155 8.37e-13 ***
desti_grid720  -2.7677373  0.0726308   -38.107  < 2e-16 ***
desti_grid743   1.7949091  0.0515783    34.800  < 2e-16 ***
desti_grid744   0.2502025  0.0515636     4.852 1.22e-06 ***
desti_grid745  -0.7175496  0.0514417   -13.949  < 2e-16 ***
desti_grid746  -0.8385877  0.0515693   -16.261  < 2e-16 ***
desti_grid747   0.9313570  0.0513447    18.139  < 2e-16 ***
desti_grid748  -0.9347269  0.0544813   -17.157  < 2e-16 ***
desti_grid769   0.5489055  0.0533887    10.281  < 2e-16 ***
desti_grid770   2.1760138  0.0512614    42.449  < 2e-16 ***
desti_grid771   0.0719106  0.0512940     1.402 0.160936    
desti_grid772   1.1022048  0.0509056    21.652  < 2e-16 ***
desti_grid773  -1.3637924  0.0526441   -25.906  < 2e-16 ***
desti_grid774  -0.0180815  0.0522259    -0.346 0.729179    
desti_grid775  -0.7743081  0.0531492   -14.569  < 2e-16 ***
desti_grid776  -3.8131874  0.1789016   -21.314  < 2e-16 ***
desti_grid777  -2.1282955  0.0663920   -32.056  < 2e-16 ***
desti_grid797   0.3113040  0.0536736     5.800 6.63e-09 ***
desti_grid798  -1.3258450  0.0688584   -19.255  < 2e-16 ***
desti_grid799   0.7201253  0.0509704    14.128  < 2e-16 ***
desti_grid800  -0.3795230  0.0511258    -7.423 1.14e-13 ***
desti_grid802  -3.8720835  0.0890738   -43.471  < 2e-16 ***
desti_grid803  -1.7671218  0.0605764   -29.172  < 2e-16 ***
desti_grid805  -2.3799570  0.0734213   -32.415  < 2e-16 ***
desti_grid806  -0.0370610  0.0532874    -0.695 0.486746    
desti_grid823   0.8266361  0.0538625    15.347  < 2e-16 ***
desti_grid824   1.5198182  0.0520678    29.189  < 2e-16 ***
desti_grid825   0.3522846  0.0520183     6.772 1.27e-11 ***
desti_grid826   1.7320089  0.0508547    34.058  < 2e-16 ***
desti_grid827   0.2245800  0.0510598     4.398 1.09e-05 ***
desti_grid832  -3.9252464  0.2064083   -19.017  < 2e-16 ***
desti_grid833  -2.2404457  0.0715173   -31.327  < 2e-16 ***
desti_grid851   0.3967718  0.0548514     7.234 4.70e-13 ***
desti_grid852   1.6580691  0.0517075    32.066  < 2e-16 ***
desti_grid853  -0.5101643  0.0513088    -9.943  < 2e-16 ***
desti_grid854  -0.3429586  0.0511599    -6.704 2.03e-11 ***
desti_grid856  -5.5720654  0.2026053   -27.502  < 2e-16 ***
desti_grid861  -2.3446146  0.0720266   -32.552  < 2e-16 ***
desti_grid862  -1.5026714  0.0620122   -24.232  < 2e-16 ***
desti_grid878   1.2568809  0.0523473    24.010  < 2e-16 ***
desti_grid879   1.0084902  0.0513129    19.654  < 2e-16 ***
desti_grid880  -0.7304460  0.0513296   -14.230  < 2e-16 ***
desti_grid881  -0.3215273  0.0513752    -6.258 3.89e-10 ***
desti_grid888  -2.8206086  0.1452879   -19.414  < 2e-16 ***
desti_grid889  -1.9357879  0.0697593   -27.750  < 2e-16 ***
desti_grid905  -0.5492179  0.0537322   -10.221  < 2e-16 ***
desti_grid906  -0.8038687  0.0541036   -14.858  < 2e-16 ***
desti_grid907   0.8337831  0.0512326    16.274  < 2e-16 ***
desti_grid908  -0.0226114  0.0510691    -0.443 0.657939    
desti_grid910  -0.2216505  0.0523814    -4.231 2.32e-05 ***
desti_grid932   0.2240094  0.0516149     4.340 1.42e-05 ***
desti_grid933  -0.3769376  0.0521104    -7.233 4.71e-13 ***
desti_grid934   0.0633194  0.0511307     1.238 0.215574    
desti_grid935   0.0664370  0.0510622     1.301 0.193225    
desti_grid937  -0.6834588  0.0519371   -13.159  < 2e-16 ***
desti_grid959   1.2956831  0.0511513    25.330  < 2e-16 ***
desti_grid960   0.0379553  0.0512009     0.741 0.458510    
desti_grid961  -0.2649098  0.0512355    -5.170 2.34e-07 ***
desti_grid962   1.9991731  0.0508884    39.285  < 2e-16 ***
desti_grid986  -1.0070714  0.0540890   -18.619  < 2e-16 ***
desti_grid987   0.4134174  0.0510501     8.098 5.57e-16 ***
desti_grid988  -1.0123071  0.0520747   -19.440  < 2e-16 ***
desti_grid989   0.0860208  0.0510297     1.686 0.091853 .  
desti_grid991  -0.3706840  0.0519398    -7.137 9.55e-13 ***
desti_grid1013 -0.3545355  0.0545377    -6.501 7.99e-11 ***
desti_grid1014 -1.6474381  0.0529802   -31.095  < 2e-16 ***
desti_grid1015 -2.2068090  0.0550844   -40.062  < 2e-16 ***
desti_grid1016 -0.3543534  0.0511507    -6.928 4.28e-12 ***
desti_grid1042  0.8544512  0.0511193    16.715  < 2e-16 ***
desti_grid1043 -0.0697624  0.0510978    -1.365 0.172167    
desti_grid1045 -2.3216550  0.0570817   -40.673  < 2e-16 ***
desti_grid1067  1.1895372  0.0511977    23.234  < 2e-16 ***
desti_grid1068 -1.9871265  0.0602189   -32.998  < 2e-16 ***
desti_grid1069 -2.0158715  0.0538892   -37.408  < 2e-16 ***
desti_grid1070  0.1893586  0.0509995     3.713 0.000205 ***
desti_grid1078 -1.4987886  0.0634184   -23.633  < 2e-16 ***
desti_grid1093  0.5037121  0.0519706     9.692  < 2e-16 ***
desti_grid1094 -1.1493013  0.0527063   -21.806  < 2e-16 ***
desti_grid1095 -2.3278686  0.0558698   -41.666  < 2e-16 ***
desti_grid1096 -0.2767466  0.0511221    -5.413 6.18e-08 ***
desti_grid1097 -0.1140001  0.0512213    -2.226 0.026038 *  
desti_grid1099 -0.6408573  0.0511916   -12.519  < 2e-16 ***
desti_grid1100 -2.2986876  0.0686610   -33.479  < 2e-16 ***
desti_grid1122 -0.5220510  0.0514054   -10.156  < 2e-16 ***
desti_grid1123  1.1908591  0.0508968    23.398  < 2e-16 ***
desti_grid1124  0.2375178  0.0510386     4.654 3.26e-06 ***
desti_grid1125 -0.5146150  0.0513273   -10.026  < 2e-16 ***
desti_grid1126 -3.9464483  0.0787280   -50.128  < 2e-16 ***
desti_grid1127 -0.7372778  0.0512318   -14.391  < 2e-16 ***
desti_grid1128 -0.4883360  0.0515054    -9.481  < 2e-16 ***
desti_grid1132 -0.2957633  0.0545289    -5.424 5.83e-08 ***
desti_grid1147 -1.8285110  0.0605301   -30.208  < 2e-16 ***
desti_grid1148 -0.2373362  0.0514450    -4.613 3.96e-06 ***
desti_grid1149 -0.7003059  0.0515570   -13.583  < 2e-16 ***
desti_grid1150 -0.0130482  0.0510478    -0.256 0.798254    
desti_grid1151 -0.3140180  0.0511182    -6.143 8.10e-10 ***
desti_grid1152 -0.6294784  0.0513187   -12.266  < 2e-16 ***
desti_grid1153 -1.1443426  0.0513270   -22.295  < 2e-16 ***
desti_grid1154  1.1749928  0.0509044    23.082  < 2e-16 ***
desti_grid1155 -2.6250316  0.0622606   -42.162  < 2e-16 ***
desti_grid1158 -1.6920168  0.0591747   -28.594  < 2e-16 ***
desti_grid1174  0.3472345  0.0521166     6.663 2.69e-11 ***
desti_grid1175  1.5525295  0.0514384    30.182  < 2e-16 ***
desti_grid1176  0.1997350  0.0510692     3.911 9.19e-05 ***
desti_grid1177  0.1564065  0.0510748     3.062 0.002196 ** 
desti_grid1178 -0.1708030  0.0511335    -3.340 0.000837 ***
desti_grid1179 -1.0882034  0.0515971   -21.090  < 2e-16 ***
desti_grid1180 -2.5089883  0.0538512   -46.591  < 2e-16 ***
desti_grid1181  0.0776259  0.0510114     1.522 0.128075    
desti_grid1182 -0.4196644  0.0513559    -8.172 3.04e-16 ***
desti_grid1183 -1.1381135  0.0519214   -21.920  < 2e-16 ***
desti_grid1185 -0.1819066  0.0532629    -3.415 0.000637 ***
desti_grid1201 -0.1395105  0.0526305    -2.651 0.008031 ** 
desti_grid1202 -0.2713532  0.0513957    -5.280 1.29e-07 ***
desti_grid1203  0.6280910  0.0510355    12.307  < 2e-16 ***
desti_grid1205  1.1247579  0.0509042    22.096  < 2e-16 ***
desti_grid1206  0.1253283  0.0510801     2.454 0.014145 *  
desti_grid1207 -0.1675975  0.0510530    -3.283 0.001028 ** 
desti_grid1209  1.3588103  0.0510190    26.633  < 2e-16 ***
desti_grid1210 -0.0762871  0.0528860    -1.442 0.149167    
desti_grid1211 -0.3624029  0.0535922    -6.762 1.36e-11 ***
desti_grid1212 -0.2148145  0.0536112    -4.007 6.15e-05 ***
desti_grid1228 -0.0512526  0.0526140    -0.974 0.329995    
desti_grid1229  0.2142370  0.0512551     4.180 2.92e-05 ***
desti_grid1230 -0.9101801  0.0517127   -17.601  < 2e-16 ***
desti_grid1231  1.2423901  0.0511830    24.273  < 2e-16 ***
desti_grid1232  0.1754019  0.0510137     3.438 0.000585 ***
desti_grid1233  1.4932081  0.0510001    29.279  < 2e-16 ***
desti_grid1235  0.5366164  0.0510440    10.513  < 2e-16 ***
desti_grid1236 -1.6579629  0.0523426   -31.675  < 2e-16 ***
desti_grid1237  0.3358671  0.0511677     6.564 5.24e-11 ***
desti_grid1238 -1.9764954  0.0564267   -35.028  < 2e-16 ***
desti_grid1239 -0.0298669  0.0530907    -0.563 0.573733    
desti_grid1240 -1.8555881  0.0808633   -22.947  < 2e-16 ***
desti_grid1255  0.2324199  0.0518637     4.481 7.42e-06 ***
desti_grid1256 -0.7260561  0.0517294   -14.036  < 2e-16 ***
desti_grid1257 -0.4210164  0.0513704    -8.196 2.49e-16 ***
desti_grid1258  0.9382379  0.0510230    18.389  < 2e-16 ***
desti_grid1259 -0.3921862  0.0512575    -7.651 1.99e-14 ***
desti_grid1261 -0.5837187  0.0511564   -11.410  < 2e-16 ***
desti_grid1262 -0.5288046  0.0511923   -10.330  < 2e-16 ***
desti_grid1263 -1.5778190  0.0536613   -29.403  < 2e-16 ***
desti_grid1264  0.0630096  0.0513977     1.226 0.220228    
desti_grid1265 -2.3144750  0.0569521   -40.639  < 2e-16 ***
desti_grid1266  0.2563433  0.0525120     4.882 1.05e-06 ***
desti_grid1282 -0.6824488  0.0523825   -13.028  < 2e-16 ***
desti_grid1283 -0.1274251  0.0511446    -2.491 0.012722 *  
desti_grid1284 -0.7775536  0.0515192   -15.093  < 2e-16 ***
desti_grid1285  0.4504676  0.0511565     8.806  < 2e-16 ***
desti_grid1286 -1.3355974  0.0518109   -25.778  < 2e-16 ***
desti_grid1287 -0.5591374  0.0515653   -10.843  < 2e-16 ***
desti_grid1288 -0.6680102  0.0514763   -12.977  < 2e-16 ***
desti_grid1289  0.2300518  0.0509655     4.514 6.37e-06 ***
desti_grid1293 -1.6921632  0.0553306   -30.583  < 2e-16 ***
desti_grid1308 -1.3434705  0.0528953   -25.399  < 2e-16 ***
desti_grid1309  0.5641412  0.0510462    11.052  < 2e-16 ***
desti_grid1310  1.4034245  0.0508836    27.581  < 2e-16 ***
desti_grid1311  0.5323064  0.0513765    10.361  < 2e-16 ***
desti_grid1312 -1.6601805  0.0546888   -30.357  < 2e-16 ***
desti_grid1314  0.3563189  0.0510892     6.974 3.07e-12 ***
desti_grid1315  1.0742173  0.0509018    21.104  < 2e-16 ***
desti_grid1316 -1.0036297  0.0519569   -19.317  < 2e-16 ***
desti_grid1318  0.1307576  0.0544123     2.403 0.016257 *  
desti_grid1319  1.1371553  0.0509699    22.310  < 2e-16 ***
desti_grid1320 -1.8405194  0.0536675   -34.295  < 2e-16 ***
desti_grid1335 -2.9681779  0.1019876   -29.103  < 2e-16 ***
desti_grid1336  0.4999947  0.0510857     9.787  < 2e-16 ***
desti_grid1337 -0.0955283  0.0510512    -1.871 0.061314 .  
desti_grid1338 -0.7793120  0.0520488   -14.973  < 2e-16 ***
desti_grid1339 -0.7197919  0.0536156   -13.425  < 2e-16 ***
desti_grid1340 -1.5323191  0.0523370   -29.278  < 2e-16 ***
desti_grid1341 -0.8737409  0.0515561   -16.947  < 2e-16 ***
desti_grid1342 -0.4530094  0.0513554    -8.821  < 2e-16 ***
desti_grid1343 -0.9336492  0.0514324   -18.153  < 2e-16 ***
desti_grid1347 -0.4536657  0.0521821    -8.694  < 2e-16 ***
desti_grid1348 -0.0607721  0.0511160    -1.189 0.234477    
desti_grid1350  0.2382598  0.0512390     4.650 3.32e-06 ***
desti_grid1362  0.0477458  0.0511779     0.933 0.350852    
desti_grid1363  0.2077061  0.0510943     4.065 4.80e-05 ***
desti_grid1364 -0.5890920  0.0513433   -11.474  < 2e-16 ***
desti_grid1366 -0.1330345  0.0511892    -2.599 0.009353 ** 
desti_grid1367 -2.5183845  0.0554468   -45.420  < 2e-16 ***
desti_grid1368  0.4661786  0.0512612     9.094  < 2e-16 ***
desti_grid1369  0.1021319  0.0510875     1.999 0.045591 *  
desti_grid1370 -0.7168140  0.0513473   -13.960  < 2e-16 ***
desti_grid1372 -0.4957917  0.0589793    -8.406  < 2e-16 ***
desti_grid1374 -0.3175960  0.0512023    -6.203 5.55e-10 ***
desti_grid1375  1.0811130  0.0509586    21.216  < 2e-16 ***
desti_grid1389  0.0451674  0.0512271     0.882 0.377935    
desti_grid1390  0.8226139  0.0513870    16.008  < 2e-16 ***
desti_grid1391 -0.0366677  0.0512433    -0.716 0.474262    
desti_grid1392 -1.3916607  0.0522435   -26.638  < 2e-16 ***
desti_grid1394 -1.1202755  0.0519760   -21.554  < 2e-16 ***
desti_grid1396 -1.5320512  0.0529582   -28.929  < 2e-16 ***
desti_grid1397 -0.5640223  0.0515685   -10.937  < 2e-16 ***
desti_grid1401  0.9596417  0.0509439    18.837  < 2e-16 ***
desti_grid1402 -0.0702007  0.0511248    -1.373 0.169714    
desti_grid1416 -0.0174193  0.0569319    -0.306 0.759630    
desti_grid1417 -0.5391600  0.0521636   -10.336  < 2e-16 ***
desti_grid1418 -1.1988516  0.0538955   -22.244  < 2e-16 ***
desti_grid1419  1.4541692  0.0509348    28.550  < 2e-16 ***
desti_grid1420  0.9204044  0.0509395    18.069  < 2e-16 ***
desti_grid1422 -1.0699826  0.0530757   -20.160  < 2e-16 ***
desti_grid1423 -0.4784803  0.0514215    -9.305  < 2e-16 ***
desti_grid1426  0.3955204  0.0516905     7.652 1.98e-14 ***
desti_grid1428 -0.5298677  0.0512502   -10.339  < 2e-16 ***
desti_grid1429  0.1634944  0.0512458     3.190 0.001421 ** 
desti_grid1443  0.7358680  0.0510441    14.416  < 2e-16 ***
desti_grid1444  0.4203157  0.0512013     8.209 2.23e-16 ***
desti_grid1445  0.5045701  0.0510577     9.882  < 2e-16 ***
desti_grid1446 -1.5189721  0.0531992   -28.553  < 2e-16 ***
desti_grid1447 -0.1804907  0.0511194    -3.531 0.000414 ***
desti_grid1455 -0.2262280  0.0515941    -4.385 1.16e-05 ***
desti_grid1456 -0.1661086  0.0512565    -3.241 0.001192 ** 
desti_grid1457 -3.6787509  0.0842293   -43.675  < 2e-16 ***
desti_grid1469  0.3784312  0.0510954     7.406 1.30e-13 ***
desti_grid1470  0.8336998  0.0510205    16.340  < 2e-16 ***
desti_grid1471  0.2399337  0.0510760     4.698 2.63e-06 ***
desti_grid1472 -0.5940206  0.0516410   -11.503  < 2e-16 ***
desti_grid1480 -2.3007668  0.0663900   -34.655  < 2e-16 ***
desti_grid1482  1.0875907  0.0509899    21.330  < 2e-16 ***
desti_grid1483  0.8618407  0.0512371    16.821  < 2e-16 ***
desti_grid1496 -1.6440284  0.0533351   -30.824  < 2e-16 ***
desti_grid1497  1.7731346  0.0513578    34.525  < 2e-16 ***
desti_grid1498  0.2095463  0.0512093     4.092 4.28e-05 ***
desti_grid1499 -0.3545894  0.0513498    -6.905 5.01e-12 ***
desti_grid1500 -2.2637740  0.0592221   -38.225  < 2e-16 ***
desti_grid1501 -1.0322031  0.0515997   -20.004  < 2e-16 ***
desti_grid1507  1.4285364  0.0515623    27.705  < 2e-16 ***
desti_grid1509 -0.7704552  0.0518891   -14.848  < 2e-16 ***
desti_grid1510  1.9282479  0.0508814    37.897  < 2e-16 ***
desti_grid1511 -1.3792721  0.0548952   -25.126  < 2e-16 ***
desti_grid1523 -1.0926080  0.0618035   -17.679  < 2e-16 ***
desti_grid1524  1.4604927  0.0523104    27.920  < 2e-16 ***
desti_grid1525  0.5677375  0.0509864    11.135  < 2e-16 ***
desti_grid1526 -1.6141168  0.0530760   -30.411  < 2e-16 ***
desti_grid1527 -2.2883684  0.0662501   -34.541  < 2e-16 ***
desti_grid1534 -3.7609928  0.1051939   -35.753  < 2e-16 ***
desti_grid1536  0.4797524  0.0510410     9.399  < 2e-16 ***
desti_grid1537 -0.1503719  0.0514613    -2.922 0.003477 ** 
desti_grid1550  0.4028052  0.0511161     7.880 3.27e-15 ***
desti_grid1551 -0.3049298  0.0515391    -5.916 3.29e-09 ***
desti_grid1552 -1.3905770  0.0549513   -25.306  < 2e-16 ***
desti_grid1553 -0.2445030  0.0511895    -4.776 1.78e-06 ***
desti_grid1554 -1.5742521  0.0540706   -29.115  < 2e-16 ***
desti_grid1555 -1.3009879  0.0519052   -25.065  < 2e-16 ***
desti_grid1562 -1.3963241  0.0619441   -22.542  < 2e-16 ***
desti_grid1563  0.3460530  0.0512342     6.754 1.43e-11 ***
desti_grid1564 -0.0118570  0.0511062    -0.232 0.816532    
desti_grid1565  1.3621825  0.0511160    26.649  < 2e-16 ***
desti_grid1576  0.1486971  0.0515514     2.884 0.003921 ** 
desti_grid1578 -1.5990316  0.0523395   -30.551  < 2e-16 ***
desti_grid1579  0.5965209  0.0509879    11.699  < 2e-16 ***
desti_grid1581 -0.9906080  0.0515529   -19.215  < 2e-16 ***
desti_grid1588 -1.9689006  0.0706216   -27.880  < 2e-16 ***
desti_grid1590 -0.2529496  0.0512000    -4.940 7.80e-07 ***
desti_grid1591  0.1615175  0.0511394     3.158 0.001587 ** 
desti_grid1592  0.3595111  0.0515856     6.969 3.19e-12 ***
desti_grid1604  1.0270393  0.0509433    20.160  < 2e-16 ***
desti_grid1605  0.0931842  0.0510663     1.825 0.068036 .  
desti_grid1606 -0.0836917  0.0511131    -1.637 0.101551    
desti_grid1607 -1.0485546  0.0516282   -20.310  < 2e-16 ***
desti_grid1616 -1.8184263  0.0602854   -30.164  < 2e-16 ***
desti_grid1617 -0.5574796  0.0522741   -10.665  < 2e-16 ***
desti_grid1618  1.8662299  0.0509163    36.653  < 2e-16 ***
desti_grid1619  0.2904725  0.0512240     5.671 1.42e-08 ***
desti_grid1620  0.6305096  0.0514554    12.254  < 2e-16 ***
desti_grid1630 -2.1373532  0.0536437   -39.844  < 2e-16 ***
desti_grid1631 -0.2474900  0.0512378    -4.830 1.36e-06 ***
desti_grid1632 -0.1467469  0.0512439    -2.864 0.004187 ** 
desti_grid1633 -1.7798200  0.0531543   -33.484  < 2e-16 ***
desti_grid1634 -0.2494703  0.0512382    -4.869 1.12e-06 ***
desti_grid1635  0.5549477  0.0510183    10.877  < 2e-16 ***
desti_grid1642 -1.2768541  0.0644823   -19.802  < 2e-16 ***
desti_grid1644  0.3202404  0.0512176     6.253 4.04e-10 ***
desti_grid1645  0.2314883  0.0511244     4.528 5.96e-06 ***
desti_grid1646  0.6669688  0.0511912    13.029  < 2e-16 ***
desti_grid1647 -0.5291596  0.0581403    -9.101  < 2e-16 ***
desti_grid1658 -0.4233574  0.0516579    -8.195 2.50e-16 ***
desti_grid1659  0.4512202  0.0510044     8.847  < 2e-16 ***
desti_grid1660 -0.2652533  0.0521113    -5.090 3.58e-07 ***
desti_grid1661 -2.0694383  0.0544244   -38.024  < 2e-16 ***
desti_grid1662 -0.6456194  0.0513554   -12.572  < 2e-16 ***
desti_grid1669 -3.4663958  0.1307267   -26.516  < 2e-16 ***
desti_grid1670 -0.7513985  0.0557231   -13.485  < 2e-16 ***
desti_grid1672  0.0796603  0.0518444     1.537 0.124410    
desti_grid1673  1.4915440  0.0511498    29.160  < 2e-16 ***
desti_grid1674  0.4405099  0.0513131     8.585  < 2e-16 ***
desti_grid1684 -0.2066349  0.0511538    -4.039 5.36e-05 ***
desti_grid1685  0.1510286  0.0513481     2.941 0.003269 ** 
desti_grid1686  0.0336214  0.0511472     0.657 0.510959    
desti_grid1687 -0.6602096  0.0516271   -12.788  < 2e-16 ***
desti_grid1688 -0.9415212  0.0517809   -18.183  < 2e-16 ***
desti_grid1689 -1.7356849  0.0556566   -31.186  < 2e-16 ***
desti_grid1695 -2.5188338  0.0813929   -30.947  < 2e-16 ***
desti_grid1699  0.3037362  0.0511612     5.937 2.91e-09 ***
desti_grid1700 -0.5298222  0.0525502   -10.082  < 2e-16 ***
desti_grid1701  1.3643722  0.0515659    26.459  < 2e-16 ***
desti_grid1712 -1.0814653  0.0521911   -20.721  < 2e-16 ***
desti_grid1713  0.7757527  0.0509487    15.226  < 2e-16 ***
desti_grid1714 -0.4953419  0.0520036    -9.525  < 2e-16 ***
desti_grid1716 -0.3572747  0.0511701    -6.982 2.91e-12 ***
desti_grid1723 -2.5287130  0.0821101   -30.797  < 2e-16 ***
desti_grid1726 -0.6566095  0.0525906   -12.485  < 2e-16 ***
desti_grid1727 -0.0265164  0.0512788    -0.517 0.605084    
desti_grid1728  0.7820475  0.0510988    15.305  < 2e-16 ***
desti_grid1738 -0.3750839  0.0511893    -7.327 2.35e-13 ***
desti_grid1739  1.0138317  0.0509213    19.910  < 2e-16 ***
desti_grid1740 -0.3603534  0.0514245    -7.007 2.43e-12 ***
desti_grid1741 -0.2073220  0.0513300    -4.039 5.37e-05 ***
desti_grid1743 -1.8330100  0.0572056   -32.042  < 2e-16 ***
desti_grid1744 -3.0595644  0.1005275   -30.435  < 2e-16 ***
desti_grid1748 -4.6736510  0.1140383   -40.983  < 2e-16 ***
desti_grid1749 -0.4605404  0.0514969    -8.943  < 2e-16 ***
desti_grid1753  1.3255785  0.0509347    26.025  < 2e-16 ***
desti_grid1754 -0.3202287  0.0514158    -6.228 4.72e-10 ***
desti_grid1765  0.6957891  0.0509783    13.649  < 2e-16 ***
desti_grid1766  0.3311471  0.0511013     6.480 9.16e-11 ***
desti_grid1767  0.1986161  0.0510620     3.890 0.000100 ***
desti_grid1768 -1.8304743  0.0553088   -33.096  < 2e-16 ***
desti_grid1770 -1.4603365  0.0523939   -27.872  < 2e-16 ***
desti_grid1771 -2.8262104  0.0607768   -46.501  < 2e-16 ***
desti_grid1776 -4.7492701  0.1108911   -42.828  < 2e-16 ***
desti_grid1777 -0.1178011  0.0513272    -2.295 0.021727 *  
desti_grid1778 -1.7336994  0.0530713   -32.667  < 2e-16 ***
desti_grid1780 -0.6417638  0.0530913   -12.088  < 2e-16 ***
desti_grid1781  0.3532550  0.0511272     6.909 4.87e-12 ***
desti_grid1791 -0.1258442  0.0533690    -2.358 0.018374 *  
desti_grid1792 -0.5631618  0.0514092   -10.954  < 2e-16 ***
desti_grid1793  0.4572838  0.0509868     8.969  < 2e-16 ***
desti_grid1794 -0.0778654  0.0511565    -1.522 0.127984    
desti_grid1795 -0.1780746  0.0512314    -3.476 0.000509 ***
desti_grid1796  0.1537808  0.0511804     3.005 0.002659 ** 
desti_grid1798 -4.8159580  0.1489781   -32.327  < 2e-16 ***
desti_grid1800 -1.1090863  0.0548884   -20.206  < 2e-16 ***
desti_grid1802 -2.1539112  0.0554133   -38.870  < 2e-16 ***
desti_grid1804 -3.3648135  0.0633898   -53.081  < 2e-16 ***
desti_grid1805 -1.5091862  0.0522999   -28.856  < 2e-16 ***
desti_grid1806 -0.6032465  0.0514578   -11.723  < 2e-16 ***
desti_grid1807 -1.1808136  0.0516938   -22.842  < 2e-16 ***
desti_grid1808 -0.7507572  0.0533495   -14.072  < 2e-16 ***
desti_grid1820 -0.2249149  0.0511867    -4.394 1.11e-05 ***
desti_grid1821  0.8604503  0.0509529    16.887  < 2e-16 ***
desti_grid1822 -0.9139380  0.0517272   -17.668  < 2e-16 ***
desti_grid1823 -0.3485966  0.0515582    -6.761 1.37e-11 ***
desti_grid1824  0.2271700  0.0510513     4.450 8.59e-06 ***
desti_grid1827 -1.0681845  0.0518054   -20.619  < 2e-16 ***
desti_grid1828 -0.6330494  0.0516207   -12.263  < 2e-16 ***
desti_grid1829  0.3681575  0.0511414     7.199 6.07e-13 ***
desti_grid1831 -2.0323464  0.0539415   -37.677  < 2e-16 ***
desti_grid1833  0.5734484  0.0509726    11.250  < 2e-16 ***
desti_grid1834  0.7225371  0.0510113    14.164  < 2e-16 ***
desti_grid1835 -1.2699235  0.0520807   -24.384  < 2e-16 ***
desti_grid1846 -2.3041514  0.0574014   -40.141  < 2e-16 ***
desti_grid1847 -1.4910875  0.0541124   -27.555  < 2e-16 ***
desti_grid1848 -0.4180742  0.0512357    -8.160 3.35e-16 ***
desti_grid1849  1.0600024  0.0509091    20.821  < 2e-16 ***
desti_grid1850 -0.2386756  0.0515265    -4.632 3.62e-06 ***
desti_grid1852 -2.9887951  0.0604238   -49.464  < 2e-16 ***
desti_grid1853  0.0796796  0.0511637     1.557 0.119388    
desti_grid1854 -0.3310799  0.0513485    -6.448 1.14e-10 ***
desti_grid1855 -1.9096882  0.0534444   -35.732  < 2e-16 ***
desti_grid1856 -4.0303733  0.1591296   -25.328  < 2e-16 ***
desti_grid1857 -3.1420944  0.0677857   -46.353  < 2e-16 ***
desti_grid1858 -1.7773595  0.0520852   -34.124  < 2e-16 ***
desti_grid1859 -0.4993184  0.0513168    -9.730  < 2e-16 ***
desti_grid1860 -0.2057460  0.0511604    -4.022 5.78e-05 ***
desti_grid1861 -1.3113003  0.0518326   -25.299  < 2e-16 ***
desti_grid1862 -1.1805088  0.0548130   -21.537  < 2e-16 ***
desti_grid1874 -0.0373714  0.0510839    -0.732 0.464431    
desti_grid1875  0.3162375  0.0510352     6.196 5.77e-10 ***
desti_grid1876 -0.8112383  0.0518605   -15.643  < 2e-16 ***
desti_grid1877 -0.4740414  0.0513197    -9.237  < 2e-16 ***
desti_grid1878 -0.3288461  0.0512891    -6.412 1.44e-10 ***
desti_grid1879 -1.1319177  0.0519445   -21.791  < 2e-16 ***
desti_grid1882  0.3612757  0.0510801     7.073 1.52e-12 ***
desti_grid1883 -0.7177845  0.0515197   -13.932  < 2e-16 ***
desti_grid1884 -1.5738163  0.0541880   -29.044  < 2e-16 ***
desti_grid1886  1.4326812  0.0508966    28.149  < 2e-16 ***
desti_grid1887  1.8052402  0.0508951    35.470  < 2e-16 ***
desti_grid1888 -0.8051673  0.0515299   -15.625  < 2e-16 ***
desti_grid1889 -3.6111550  0.1021118   -35.365  < 2e-16 ***
desti_grid1890 -1.1827388  0.0625554   -18.907  < 2e-16 ***
desti_grid1900 -0.7473074  0.0517596   -14.438  < 2e-16 ***
desti_grid1901  0.3173223  0.0510052     6.221 4.93e-10 ***
desti_grid1902 -0.1247018  0.0513604    -2.428 0.015183 *  
desti_grid1903 -0.1659700  0.0513668    -3.231 0.001233 ** 
desti_grid1904 -0.0814917  0.0512598    -1.590 0.111885    
desti_grid1905 -0.5808127  0.0513078   -11.320  < 2e-16 ***
desti_grid1906 -0.3548148  0.0511912    -6.931 4.17e-12 ***
desti_grid1907 -0.0906156  0.0511445    -1.772 0.076435 .  
desti_grid1908 -0.2168223  0.0514517    -4.214 2.51e-05 ***
desti_grid1909 -0.1155202  0.0511826    -2.257 0.024007 *  
desti_grid1910 -1.2209092  0.0520302   -23.465  < 2e-16 ***
desti_grid1912 -3.2125248  0.0619417   -51.864  < 2e-16 ***
desti_grid1913 -0.2456874  0.0510627    -4.811 1.50e-06 ***
desti_grid1914 -0.0039769  0.0510600    -0.078 0.937918    
desti_grid1916 -2.0808800  0.0591360   -35.188  < 2e-16 ***
desti_grid1928 -0.0547858  0.0511683    -1.071 0.284306    
desti_grid1929  0.1097516  0.0511364     2.146 0.031853 *  
desti_grid1930 -0.0582453  0.0510532    -1.141 0.253922    
desti_grid1931 -0.7329215  0.0513923   -14.261  < 2e-16 ***
desti_grid1932  0.2213789  0.0510628     4.335 1.45e-05 ***
desti_grid1933  0.7820813  0.0511687    15.284  < 2e-16 ***
desti_grid1934 -0.9152248  0.0514539   -17.787  < 2e-16 ***
desti_grid1935 -0.2704279  0.0512031    -5.281 1.28e-07 ***
desti_grid1936 -0.0443533  0.0511909    -0.866 0.386254    
desti_grid1937  0.3353865  0.0510602     6.568 5.08e-11 ***
desti_grid1938 -1.3660832  0.0684067   -19.970  < 2e-16 ***
desti_grid1940 -0.8077660  0.0512575   -15.759  < 2e-16 ***
desti_grid1941 -1.3065839  0.0516423   -25.301  < 2e-16 ***
desti_grid1942 -0.1797514  0.0515450    -3.487 0.000488 ***
desti_grid1954 -0.7203637  0.0523313   -13.765  < 2e-16 ***
desti_grid1955  0.4692539  0.0509835     9.204  < 2e-16 ***
desti_grid1956 -0.0434516  0.0512421    -0.848 0.396457    
desti_grid1958  0.3850965  0.0510326     7.546 4.49e-14 ***
desti_grid1959  0.3045198  0.0509829     5.973 2.33e-09 ***
desti_grid1960  0.8090183  0.0510677    15.842  < 2e-16 ***
desti_grid1961  1.3115082  0.0509151    25.759  < 2e-16 ***
desti_grid1962 -0.2746626  0.0511317    -5.372 7.80e-08 ***
desti_grid1963 -0.4461625  0.0511458    -8.723  < 2e-16 ***
desti_grid1964  0.3588201  0.0510502     7.029 2.08e-12 ***
desti_grid1967 -0.4867036  0.0511393    -9.517  < 2e-16 ***
desti_grid1968 -0.6586625  0.0512932   -12.841  < 2e-16 ***
desti_grid1982  0.7038117  0.0509317    13.819  < 2e-16 ***
desti_grid1983  0.4127172  0.0509904     8.094 5.77e-16 ***
desti_grid1984  0.4595521  0.0509442     9.021  < 2e-16 ***
desti_grid1985  0.1715255  0.0510838     3.358 0.000786 ***
desti_grid1986 -0.4111954  0.0514070    -7.999 1.26e-15 ***
desti_grid1987  1.2313931  0.0508938    24.195  < 2e-16 ***
desti_grid1988 -0.4029454  0.0511283    -7.881 3.25e-15 ***
desti_grid1989 -0.5780192  0.0511921   -11.291  < 2e-16 ***
desti_grid1990  1.4387508  0.0508879    28.273  < 2e-16 ***
desti_grid1991  0.2314111  0.0510160     4.536 5.73e-06 ***
desti_grid1992  0.7542712  0.0510635    14.771  < 2e-16 ***
desti_grid1994 -2.3195006  0.0543675   -42.663  < 2e-16 ***
desti_grid1995 -1.2427721  0.0514271   -24.166  < 2e-16 ***
desti_grid2009  0.7966032  0.0509237    15.643  < 2e-16 ***
desti_grid2010  0.2920065  0.0509598     5.730 1.00e-08 ***
desti_grid2011  0.3952516  0.0509821     7.753 8.99e-15 ***
desti_grid2012 -0.1123186  0.0512598    -2.191 0.028440 *  
desti_grid2013 -0.1503980  0.0510592    -2.946 0.003224 ** 
desti_grid2014 -0.0028286  0.0510192    -0.055 0.955787    
desti_grid2015  0.2201935  0.0510436     4.314 1.60e-05 ***
desti_grid2016 -0.2580404  0.0511408    -5.046 4.52e-07 ***
desti_grid2017  0.1285445  0.0510748     2.517 0.011843 *  
desti_grid2021 -1.8116590  0.0522982   -34.641  < 2e-16 ***
desti_grid2036 -2.2156420  0.0584750   -37.890  < 2e-16 ***
desti_grid2037 -0.8135267  0.0516949   -15.737  < 2e-16 ***
desti_grid2038  0.8799292  0.0509292    17.277  < 2e-16 ***
desti_grid2039 -0.4319966  0.0512710    -8.426  < 2e-16 ***
desti_grid2040 -0.1804488  0.0511501    -3.528 0.000419 ***
desti_grid2041 -0.0663038  0.0511902    -1.295 0.195236    
desti_grid2042 -0.1254038  0.0513154    -2.444 0.014534 *  
desti_grid2043 -0.0164833  0.0510774    -0.323 0.746914    
desti_grid2044 -0.1427478  0.0510894    -2.794 0.005205 ** 
desti_grid2046 -1.0755838  0.0520226   -20.675  < 2e-16 ***
desti_grid2049 -3.0489510  0.0560387   -54.408  < 2e-16 ***
desti_grid2063 -0.8507180  0.0516821   -16.461  < 2e-16 ***
desti_grid2064  0.1025129  0.0510217     2.009 0.044516 *  
desti_grid2065 -0.2485758  0.0511116    -4.863 1.15e-06 ***
desti_grid2066 -0.2214628  0.0511205    -4.332 1.48e-05 ***
desti_grid2067 -0.4613123  0.0511127    -9.025  < 2e-16 ***
desti_grid2068 -0.0399406  0.0510697    -0.782 0.434168    
desti_grid2069 -1.8558832  0.0526458   -35.252  < 2e-16 ***
desti_grid2070  0.0895673  0.0511418     1.751 0.079885 .  
desti_grid2071  1.2227956  0.0509465    24.002  < 2e-16 ***
desti_grid2072 -2.8821407  0.0644000   -44.754  < 2e-16 ***
desti_grid2074 -2.6892973  0.0589168   -45.646  < 2e-16 ***
desti_grid2089 -0.1573881  0.0797491    -1.974 0.048434 *  
desti_grid2090 -1.3957217  0.1127946   -12.374  < 2e-16 ***
desti_grid2091 -1.6342604  0.0540972   -30.210  < 2e-16 ***
desti_grid2092 -0.0038330  0.0511504    -0.075 0.940266    
desti_grid2093  0.5809212  0.0509699    11.397  < 2e-16 ***
desti_grid2094  0.1900784  0.0510803     3.721 0.000198 ***
desti_grid2095 -0.0325653  0.0513539    -0.634 0.525993    
desti_grid2096 -0.9587945  0.0516196   -18.574  < 2e-16 ***
desti_grid2097 -0.4163037  0.0556545    -7.480 7.42e-14 ***
desti_grid2098 -0.2673769  0.0512597    -5.216 1.83e-07 ***
desti_grid2100 -2.3970743  0.0658475   -36.403  < 2e-16 ***
desti_grid2101 -1.4253345  0.0534935   -26.645  < 2e-16 ***
desti_grid2102 -0.5772981  0.0517109   -11.164  < 2e-16 ***
desti_grid2116 -2.2499945  0.1180402   -19.061  < 2e-16 ***
desti_grid2117 -1.3013783  0.1211619   -10.741  < 2e-16 ***
desti_grid2119 -0.0515325  0.0510871    -1.009 0.313109    
desti_grid2120  0.7514474  0.0509619    14.745  < 2e-16 ***
desti_grid2121 -0.1283979  0.0511325    -2.511 0.012036 *  
desti_grid2122 -3.1594456  0.0704849   -44.824  < 2e-16 ***
desti_grid2123 -0.9699781  0.0514123   -18.867  < 2e-16 ***
desti_grid2124 -0.3353220  0.0514616    -6.516 7.22e-11 ***
desti_grid2125  0.6444481  0.0510174    12.632  < 2e-16 ***
desti_grid2126 -1.5302940  0.0526195   -29.082  < 2e-16 ***
desti_grid2129 -2.0753648  0.0553217   -37.514  < 2e-16 ***
desti_grid2146 -1.1158511  0.0544813   -20.481  < 2e-16 ***
desti_grid2147 -0.0455631  0.0510336    -0.893 0.371961    
desti_grid2148  0.3821085  0.0509844     7.495 6.65e-14 ***
desti_grid2149 -0.0431678  0.0511379    -0.844 0.398588    
desti_grid2150 -1.4906438  0.0522655   -28.521  < 2e-16 ***
desti_grid2151 -1.5983555  0.0523023   -30.560  < 2e-16 ***
desti_grid2152  0.8193592  0.0509753    16.074  < 2e-16 ***
desti_grid2153 -0.2143134  0.0523290    -4.095 4.21e-05 ***
desti_grid2154 -1.1922486  0.0518513   -22.994  < 2e-16 ***
desti_grid2155 -0.9798845  0.0519113   -18.876  < 2e-16 ***
desti_grid2171 -1.9027292  0.1789917   -10.630  < 2e-16 ***
desti_grid2172 -1.4768187  0.0550072   -26.848  < 2e-16 ***
desti_grid2174 -1.1811876  0.0525330   -22.485  < 2e-16 ***
desti_grid2175  0.8165066  0.0509438    16.028  < 2e-16 ***
desti_grid2176 -0.0385833  0.0511075    -0.755 0.450283    
desti_grid2177  1.4074676  0.0508911    27.656  < 2e-16 ***
desti_grid2178 -1.5148684  0.0517655   -29.264  < 2e-16 ***
desti_grid2179  0.3191366  0.0510407     6.253 4.04e-10 ***
desti_grid2180 -0.7083153  0.0513405   -13.796  < 2e-16 ***
desti_grid2181  0.0906332  0.0510586     1.775 0.075884 .  
desti_grid2182 -0.9589914  0.0537807   -17.832  < 2e-16 ***
desti_grid2200  0.2926135  0.0519824     5.629 1.81e-08 ***
desti_grid2201 -0.1144001  0.0510517    -2.241 0.025035 *  
desti_grid2202  0.9931498  0.0511282    19.425  < 2e-16 ***
desti_grid2203  0.1068942  0.0512568     2.085 0.037027 *  
desti_grid2204  0.4445550  0.0510083     8.715  < 2e-16 ***
desti_grid2205 -0.5871808  0.0512411   -11.459  < 2e-16 ***
desti_grid2206  0.2309928  0.0509853     4.531 5.88e-06 ***
desti_grid2207 -0.7321578  0.0512982   -14.273  < 2e-16 ***
desti_grid2208 -0.5205272  0.0512306   -10.160  < 2e-16 ***
desti_grid2209 -2.3675822  0.0566786   -41.772  < 2e-16 ***
desti_grid2227 -0.6921958  0.0515012   -13.440  < 2e-16 ***
desti_grid2228 -0.1459955  0.0511232    -2.856 0.004293 ** 
desti_grid2229  0.3863227  0.0509990     7.575 3.59e-14 ***
desti_grid2230  0.0263370  0.0513643     0.513 0.608127    
desti_grid2231 -0.5161279  0.0511479   -10.091  < 2e-16 ***
desti_grid2233  0.2242035  0.0509923     4.397 1.10e-05 ***
desti_grid2234 -4.6447795  0.0971464   -47.812  < 2e-16 ***
desti_grid2235 -2.6925959  0.0732233   -36.772  < 2e-16 ***
desti_grid2254  0.0317774  0.0518430     0.613 0.539906    
desti_grid2255 -0.5437950  0.0512848   -10.603  < 2e-16 ***
desti_grid2256 -0.1917560  0.0511776    -3.747 0.000179 ***
desti_grid2257 -0.3762893  0.0516131    -7.291 3.09e-13 ***
desti_grid2258 -1.0827227  0.0516091   -20.979  < 2e-16 ***
desti_grid2259 -1.0890027  0.0517651   -21.037  < 2e-16 ***
desti_grid2260 -0.3769554  0.0512002    -7.362 1.81e-13 ***
desti_grid2261 -0.1779176  0.0511523    -3.478 0.000505 ***
desti_grid2262 -1.2570766  0.0518582   -24.241  < 2e-16 ***
desti_grid2281 -0.4136723  0.0512968    -8.064 7.37e-16 ***
desti_grid2282  0.6172503  0.0509827    12.107  < 2e-16 ***
desti_grid2283 -0.2284601  0.0511739    -4.464 8.03e-06 ***
desti_grid2284 -0.1910407  0.0511326    -3.736 0.000187 ***
desti_grid2285 -0.1210687  0.0511890    -2.365 0.018024 *  
desti_grid2286 -0.5669036  0.0512882   -11.053  < 2e-16 ***
desti_grid2287  0.3784316  0.0509801     7.423 1.14e-13 ***
desti_grid2288 -1.6917103  0.0528462   -32.012  < 2e-16 ***
desti_grid2308 -0.5424053  0.0516348   -10.505  < 2e-16 ***
desti_grid2309  0.1226882  0.0510693     2.402 0.016288 *  
desti_grid2310 -0.1867028  0.0510878    -3.655 0.000258 ***
desti_grid2311  0.6366484  0.0509612    12.493  < 2e-16 ***
desti_grid2312 -0.9246339  0.0517081   -17.882  < 2e-16 ***
desti_grid2313  1.1352626  0.0509554    22.280  < 2e-16 ***
desti_grid2314  1.0084309  0.0509081    19.809  < 2e-16 ***
desti_grid2315 -0.3711367  0.0512778    -7.238 4.56e-13 ***
desti_grid2316 -0.2309597  0.0511507    -4.515 6.32e-06 ***
desti_grid2317 -1.5033737  0.0569312   -26.407  < 2e-16 ***
desti_grid2335 -1.3524414  0.0532038   -25.420  < 2e-16 ***
desti_grid2336  0.7266669  0.0509327    14.267  < 2e-16 ***
desti_grid2337  0.3558146  0.0509959     6.977 3.01e-12 ***
desti_grid2338 -0.3245550  0.0513416    -6.321 2.59e-10 ***
desti_grid2339  0.2587082  0.0510318     5.070 3.99e-07 ***
desti_grid2340 -0.1381297  0.0510345    -2.707 0.006798 ** 
desti_grid2341  0.5129083  0.0509677    10.063  < 2e-16 ***
desti_grid2342 -0.6935052  0.0512358   -13.536  < 2e-16 ***
desti_grid2343 -0.9808510  0.0515345   -19.033  < 2e-16 ***
desti_grid2362 -0.8150918  0.0521620   -15.626  < 2e-16 ***
desti_grid2363 -0.1369799  0.0512087    -2.675 0.007474 ** 
desti_grid2364 -0.2029217  0.0516868    -3.926 8.64e-05 ***
desti_grid2365  0.7120077  0.0509847    13.965  < 2e-16 ***
desti_grid2366  0.4522557  0.0522029     8.663  < 2e-16 ***
desti_grid2367 -0.1210141  0.0511745    -2.365 0.018043 *  
desti_grid2368 -0.0644399  0.0510581    -1.262 0.206917    
desti_grid2369  0.8923580  0.0509360    17.519  < 2e-16 ***
desti_grid2370  1.3528949  0.0508990    26.580  < 2e-16 ***
desti_grid2371 -0.8004432  0.0512792   -15.610  < 2e-16 ***
desti_grid2389 -0.3210236  0.0512690    -6.262 3.81e-10 ***
desti_grid2390  0.5724573  0.0509576    11.234  < 2e-16 ***
desti_grid2391  0.5879673  0.0510406    11.520  < 2e-16 ***
desti_grid2392  0.8915257  0.0515761    17.286  < 2e-16 ***
desti_grid2393  1.5258553  0.0513932    29.690  < 2e-16 ***
desti_grid2394 -1.6382858  0.0526088   -31.141  < 2e-16 ***
desti_grid2395 -0.2325983  0.0510863    -4.553 5.29e-06 ***
desti_grid2396 -0.1861150  0.0510497    -3.646 0.000267 ***
desti_grid2397 -1.4186517  0.0517497   -27.414  < 2e-16 ***
desti_grid2398 -0.9552357  0.0521660   -18.311  < 2e-16 ***
desti_grid2416 -0.5742493  0.0515905   -11.131  < 2e-16 ***
desti_grid2417 -0.3894753  0.0517657    -7.524 5.32e-14 ***
desti_grid2418 -0.1186040  0.0511368    -2.319 0.020376 *  
desti_grid2419  0.6060713  0.0509847    11.887  < 2e-16 ***
desti_grid2420 -1.9610270  0.0623418   -31.456  < 2e-16 ***
desti_grid2422 -1.6299496  0.0552656   -29.493  < 2e-16 ***
desti_grid2423 -1.0956378  0.0515016   -21.274  < 2e-16 ***
desti_grid2424  0.4414381  0.0509533     8.664  < 2e-16 ***
desti_grid2425  1.1787866  0.0509107    23.154  < 2e-16 ***
desti_grid2426 -1.3005465  0.0536042   -24.262  < 2e-16 ***
desti_grid2443  0.8648676  0.0509522    16.974  < 2e-16 ***
desti_grid2444  0.3112213  0.0509789     6.105 1.03e-09 ***
desti_grid2445  0.3585754  0.0509864     7.033 2.02e-12 ***
desti_grid2448 -0.2703285  0.0519898    -5.200 2.00e-07 ***
desti_grid2449 -1.4592599  0.0521426   -27.986  < 2e-16 ***
desti_grid2450 -0.8504810  0.0513638   -16.558  < 2e-16 ***
desti_grid2451  0.5072150  0.0509465     9.956  < 2e-16 ***
desti_grid2452 -1.8089304  0.0560187   -32.292  < 2e-16 ***
desti_grid2471 -0.5357706  0.0512869   -10.447  < 2e-16 ***
desti_grid2472 -2.1388391  0.0543505   -39.353  < 2e-16 ***
desti_grid2473  0.5967597  0.0510073    11.700  < 2e-16 ***
desti_grid2476  0.7848661  0.0514353    15.259  < 2e-16 ***
desti_grid2478 -0.6315170  0.0512972   -12.311  < 2e-16 ***
desti_grid2479 -1.7479940  0.0531035   -32.917  < 2e-16 ***
desti_grid2480 -0.9962112  0.0558253   -17.845  < 2e-16 ***
desti_grid2497  0.0096438  0.0510871     0.189 0.850271    
desti_grid2498 -1.4857443  0.0528008   -28.139  < 2e-16 ***
desti_grid2499 -0.7147667  0.0514682   -13.888  < 2e-16 ***
desti_grid2500 -0.7406135  0.0530448   -13.962  < 2e-16 ***
desti_grid2503 -2.7173995  0.0771673   -35.214  < 2e-16 ***
desti_grid2504 -1.9901545  0.0596365   -33.371  < 2e-16 ***
desti_grid2505 -0.6743471  0.0513456   -13.134  < 2e-16 ***
desti_grid2525 -0.7921119  0.0516644   -15.332  < 2e-16 ***
desti_grid2526  0.2973130  0.0510266     5.827 5.66e-09 ***
desti_grid2527  0.7219930  0.0509729    14.164  < 2e-16 ***
desti_grid2531 -3.9539664  0.1306930   -30.254  < 2e-16 ***
desti_grid2532 -1.2327816  0.0517699   -23.813  < 2e-16 ***
desti_grid2533 -2.0358499  0.0531460   -38.307  < 2e-16 ***
desti_grid2551  0.1760381  0.0511459     3.442 0.000578 ***
desti_grid2552 -0.6837392  0.0521940   -13.100  < 2e-16 ***
desti_grid2553 -0.2138818  0.0515941    -4.145 3.39e-05 ***
desti_grid2554 -1.5448424  0.0526317   -29.352  < 2e-16 ***
desti_grid2557  0.4235818  0.0517189     8.190 2.61e-16 ***
desti_grid2559 -1.6892169  0.0530339   -31.852  < 2e-16 ***
desti_grid2579 -0.5900992  0.0513057   -11.502  < 2e-16 ***
desti_grid2580  0.4486590  0.0509946     8.798  < 2e-16 ***
desti_grid2581 -0.6054126  0.0514522   -11.766  < 2e-16 ***
desti_grid2584 -1.3793995  0.0559143   -24.670  < 2e-16 ***
desti_grid2605 -1.0662534  0.0535265   -19.920  < 2e-16 ***
desti_grid2606 -0.9802223  0.0545180   -17.980  < 2e-16 ***
desti_grid2607 -0.5052069  0.0512378    -9.860  < 2e-16 ***
desti_grid2608 -0.9019406  0.0518215   -17.405  < 2e-16 ***
desti_grid2609 -2.0713031  0.0591097   -35.042  < 2e-16 ***
desti_grid2610 -1.6679535  0.0573617   -29.078  < 2e-16 ***
desti_grid2611  1.1640390  0.0520180    22.378  < 2e-16 ***
desti_grid2633 -0.4125551  0.0512894    -8.044 8.72e-16 ***
desti_grid2634  1.5736410  0.0508875    30.924  < 2e-16 ***
desti_grid2635 -0.9754200  0.0517702   -18.841  < 2e-16 ***
desti_grid2636  0.2047509  0.0510868     4.008 6.13e-05 ***
desti_grid2637 -0.6825912  0.0517811   -13.182  < 2e-16 ***
desti_grid2638 -0.4090863  0.0513976    -7.959 1.73e-15 ***
desti_grid2660  0.0280789  0.0511535     0.549 0.583065    
desti_grid2661 -0.1162247  0.0510814    -2.275 0.022889 *  
desti_grid2662 -0.9071338  0.0514676   -17.625  < 2e-16 ***
desti_grid2663  0.4580812  0.0510513     8.973  < 2e-16 ***
desti_grid2664 -0.4127690  0.0512965    -8.047 8.50e-16 ***
desti_grid2665  0.7728084  0.0509703    15.162  < 2e-16 ***
desti_grid2687 -1.3770630  0.0519813   -26.492  < 2e-16 ***
desti_grid2688 -0.0889528  0.0510960    -1.741 0.081702 .  
desti_grid2689  0.7497956  0.0509657    14.712  < 2e-16 ***
desti_grid2690  0.5280745  0.0510143    10.351  < 2e-16 ***
desti_grid2691 -0.2403094  0.0511521    -4.698 2.63e-06 ***
desti_grid2693 -0.1014799  0.0511338    -1.985 0.047189 *  
desti_grid2714 -1.0761355  0.0516080   -20.852  < 2e-16 ***
desti_grid2715 -0.3967150  0.0513381    -7.727 1.10e-14 ***
desti_grid2716 -2.0061696  0.0531482   -37.747  < 2e-16 ***
desti_grid2717  0.2126891  0.0510076     4.170 3.05e-05 ***
desti_grid2718 -0.7860661  0.0516157   -15.229  < 2e-16 ***
desti_grid2719  0.0013824  0.0511178     0.027 0.978426    
desti_grid2742  0.0871012  0.0510696     1.706 0.088094 .  
desti_grid2743  0.4203576  0.0513185     8.191 2.59e-16 ***
desti_grid2744  0.7264144  0.0509451    14.259  < 2e-16 ***
desti_grid2745  0.7853112  0.0509517    15.413  < 2e-16 ***
desti_grid2746 -1.1382936  0.0527262   -21.589  < 2e-16 ***
desti_grid2747 -0.5747321  0.0514916   -11.162  < 2e-16 ***
desti_grid2768 -0.0846605  0.0511732    -1.654 0.098048 .  
desti_grid2769  0.9905165  0.0509572    19.438  < 2e-16 ***
desti_grid2770  0.7264327  0.0510103    14.241  < 2e-16 ***
desti_grid2771  1.8048433  0.0508843    35.470  < 2e-16 ***
desti_grid2772 -2.4257788  0.0567746   -42.726  < 2e-16 ***
desti_grid2773 -0.9683461  0.0514692   -18.814  < 2e-16 ***
desti_grid2795 -1.2101178  0.0814969   -14.849  < 2e-16 ***
desti_grid2796 -3.9117686  0.1261865   -31.000  < 2e-16 ***
desti_grid2797  0.4026966  0.0510879     7.882 3.21e-15 ***
desti_grid2798 -1.0556557  0.0516511   -20.438  < 2e-16 ***
desti_grid2799 -0.3180778  0.0512207    -6.210 5.30e-10 ***
desti_grid2800  0.9051582  0.0509624    17.761  < 2e-16 ***
desti_grid2801 -1.6429336  0.0589714   -27.860  < 2e-16 ***
desti_grid2822 -1.6040994  0.0526608   -30.461  < 2e-16 ***
desti_grid2823 -0.0210337  0.0512328    -0.411 0.681401    
desti_grid2824  1.0407369  0.0510375    20.392  < 2e-16 ***
desti_grid2825  0.1151552  0.0510447     2.256 0.024073 *  
desti_grid2826 -0.4435103  0.0514729    -8.616  < 2e-16 ***
desti_grid2827  1.3632033  0.0509151    26.774  < 2e-16 ***
desti_grid2850 -0.9787271  0.0524603   -18.657  < 2e-16 ***
desti_grid2851  1.0811113  0.0509986    21.199  < 2e-16 ***
desti_grid2852 -0.5843369  0.0515425   -11.337  < 2e-16 ***
desti_grid2853  1.2095310  0.0509197    23.754  < 2e-16 ***
desti_grid2854  0.0918291  0.0510819     1.798 0.072227 .  
desti_grid2877 -0.4208692  0.0524019    -8.032 9.62e-16 ***
desti_grid2878  0.1193246  0.0512161     2.330 0.019815 *  
desti_grid2879 -0.0124400  0.0512762    -0.243 0.808310    
desti_grid2880 -0.9369267  0.0514693   -18.204  < 2e-16 ***
desti_grid2881 -0.5925124  0.0514448   -11.517  < 2e-16 ***
desti_grid2905  0.5397334  0.0512885    10.523  < 2e-16 ***
desti_grid2906 -0.1402354  0.0515890    -2.718 0.006561 ** 
desti_grid2907 -0.7017364  0.0514657   -13.635  < 2e-16 ***
desti_grid2908  0.1335759  0.0511377     2.612 0.008999 ** 
desti_grid2909 -0.9928146  0.0620517   -16.000  < 2e-16 ***
desti_grid2931  1.0221910  0.0514122    19.882  < 2e-16 ***
desti_grid2932  0.3497658  0.0514919     6.793 1.10e-11 ***
desti_grid2933  0.9101644  0.0511151    17.806  < 2e-16 ***
desti_grid2934 -0.6065992  0.0513350   -11.816  < 2e-16 ***
desti_grid2959  1.1755085  0.0516198    22.772  < 2e-16 ***
desti_grid2960  2.0643181  0.0513480    40.203  < 2e-16 ***
desti_grid2961  0.0584325  0.0514115     1.137 0.255720    
desti_grid2962  0.3029831  0.0511393     5.925 3.13e-09 ***
desti_grid2963  0.9360240  0.0522182    17.925  < 2e-16 ***
desti_grid2987  0.8707784  0.0519777    16.753  < 2e-16 ***
desti_grid2988 -1.9608902  0.0560180   -35.005  < 2e-16 ***
desti_grid2989 -0.2099133  0.0514197    -4.082 4.46e-05 ***
desti_grid2990  1.0493870  0.0524494    20.008  < 2e-16 ***
desti_grid3015 -0.7912770  0.0551995   -14.335  < 2e-16 ***
desti_grid3016 -0.1137762  0.0521932    -2.180 0.029264 *  
desti_grid3017 -0.6180905  0.0516974   -11.956  < 2e-16 ***
desti_grid3040  0.3577764  0.0511763     6.991 2.73e-12 ***
desti_grid3043 -0.8080931  0.0518089   -15.598  < 2e-16 ***
desti_grid3044 -0.5175757  0.0517088   -10.009  < 2e-16 ***
desti_grid3068 -1.0845038  0.0523853   -20.702  < 2e-16 ***
desti_grid3070 -0.9684407  0.0548132   -17.668  < 2e-16 ***
desti_grid3072 -0.4322361  0.0562291    -7.687 1.51e-14 ***
desti_grid3092  0.8479477  0.0532270    15.931  < 2e-16 ***
desti_grid3098 -0.2030649  0.0513983    -3.951 7.79e-05 ***
desti_grid3123  1.5021217  0.0509647    29.474  < 2e-16 ***
desti_grid3126 -3.4532561  0.0783950   -44.049  < 2e-16 ***
desti_grid3151  1.3478498  0.0510555    26.400  < 2e-16 ***
desti_grid3152 -3.5418186  0.0828313   -42.759  < 2e-16 ***
desti_grid3173 -0.1001305  0.0564870    -1.773 0.076290 .  
desti_grid3178 -0.0930436  0.0517602    -1.798 0.072242 .  
desti_grid3179 -0.2372027  0.0518536    -4.574 4.77e-06 ***
desti_grid3205  0.2681214  0.0522639     5.130 2.90e-07 ***
desti_grid3206  0.8666833  0.0512762    16.902  < 2e-16 ***
desti_grid3232  0.2997420  0.0556636     5.385 7.25e-08 ***
desti_grid3233 -0.7426141  0.0551112   -13.475  < 2e-16 ***
desti_grid3308  0.5923535  0.0541612    10.937  < 2e-16 ***
log(euc_dist)  -0.6789398  0.0001267 -5360.218  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for poisson family taken to be 1)

    Null deviance: 104481095  on 65713  degrees of freedom
Residual deviance:  42786337  on 64071  degrees of freedom
AIC: 43151450

Number of Fisher Scoring iterations: 9
Statistical Conclusion

log(euc_dist) -0.6789398 0.0001267 -5360.218 < 2e-16 ***

Number of weekday morning peak period trips has a statistically significant relationship with the log applied distance.

It has a strong negative association (-0.6789398). Thus, the greater the distance between origin and destination, the fewer trips in general.

Unconstrained Model

uncSIM <- glm(formula = TRIPS ~ 
                ori_grid + 
                desti_grid +
                euc_dist,
              family = poisson(link = "log"),
              data = attr_flow,
              na.action = na.exclude)

Results

summary(uncSIM)

Call:
glm(formula = TRIPS ~ ori_grid + desti_grid + euc_dist, family = poisson(link = "log"), 
    data = attr_flow, na.action = na.exclude)

Coefficients:
                 Estimate Std. Error   z value Pr(>|z|)    
(Intercept)     3.284e+00  1.374e-01    23.898  < 2e-16 ***
ori_grid146     2.246e+00  1.912e-01    11.750  < 2e-16 ***
ori_grid174     2.302e+00  1.980e-01    11.625  < 2e-16 ***
ori_grid175     5.352e-01  1.692e-01     3.164 0.001558 ** 
ori_grid200     4.104e-01  1.503e-01     2.731 0.006317 ** 
ori_grid201     1.936e+00  1.301e-01    14.881  < 2e-16 ***
ori_grid202     3.425e+00  1.300e-01    26.345  < 2e-16 ***
ori_grid203     1.569e+00  1.373e-01    11.423  < 2e-16 ***
ori_grid227     2.574e+00  1.434e-01    17.953  < 2e-16 ***
ori_grid228     1.533e+00  1.314e-01    11.662  < 2e-16 ***
ori_grid229     2.883e+00  1.492e-01    19.315  < 2e-16 ***
ori_grid230     3.984e+00  1.287e-01    30.970  < 2e-16 ***
ori_grid231     1.102e+00  1.452e-01     7.589 3.23e-14 ***
ori_grid254     4.720e+00  1.290e-01    36.577  < 2e-16 ***
ori_grid255     1.613e+00  1.447e-01    11.150  < 2e-16 ***
ori_grid256     1.635e+00  1.375e-01    11.894  < 2e-16 ***
ori_grid257     3.393e+00  1.293e-01    26.242  < 2e-16 ***
ori_grid258     1.068e+00  1.456e-01     7.331 2.28e-13 ***
ori_grid259     1.296e+00  1.369e-01     9.469  < 2e-16 ***
ori_grid281     2.829e+00  1.356e-01    20.869  < 2e-16 ***
ori_grid282     2.144e+00  1.381e-01    15.526  < 2e-16 ***
ori_grid284     1.850e+00  1.330e-01    13.907  < 2e-16 ***
ori_grid285     4.115e+00  1.289e-01    31.925  < 2e-16 ***
ori_grid286     5.396e+00  1.280e-01    42.169  < 2e-16 ***
ori_grid312     1.415e+00  1.445e-01     9.788  < 2e-16 ***
ori_grid313     1.665e+00  1.371e-01    12.151  < 2e-16 ***
ori_grid314     2.167e+00  1.324e-01    16.372  < 2e-16 ***
ori_grid336     9.325e-01  1.845e-01     5.055 4.31e-07 ***
ori_grid338     2.490e+00  1.342e-01    18.547  < 2e-16 ***
ori_grid339     4.986e+00  1.280e-01    38.964  < 2e-16 ***
ori_grid340     2.465e-01  1.929e-01     1.278 0.201288    
ori_grid366     5.515e+00  1.281e-01    43.055  < 2e-16 ***
ori_grid367     2.790e+00  1.304e-01    21.390  < 2e-16 ***
ori_grid391     3.017e+00  1.546e-01    19.521  < 2e-16 ***
ori_grid392     5.203e+00  1.282e-01    40.597  < 2e-16 ***
ori_grid393     2.873e+00  1.304e-01    22.028  < 2e-16 ***
ori_grid394     7.688e-01  2.745e-01     2.801 0.005096 ** 
ori_grid419     1.449e+00  1.544e-01     9.385  < 2e-16 ***
ori_grid420     3.494e+00  1.317e-01    26.529  < 2e-16 ***
ori_grid421     1.162e+00  1.757e-01     6.614 3.74e-11 ***
ori_grid445     2.440e+00  1.319e-01    18.504  < 2e-16 ***
ori_grid446     4.275e+00  1.286e-01    33.245  < 2e-16 ***
ori_grid447     1.899e+00  1.395e-01    13.613  < 2e-16 ***
ori_grid472     8.044e-01  1.854e-01     4.340 1.43e-05 ***
ori_grid473     1.632e+00  1.370e-01    11.916  < 2e-16 ***
ori_grid474     2.043e+00  1.372e-01    14.890  < 2e-16 ***
ori_grid499     1.287e+00  1.348e-01     9.545  < 2e-16 ***
ori_grid500     4.345e+00  1.284e-01    33.837  < 2e-16 ***
ori_grid526     1.980e+00  1.314e-01    15.060  < 2e-16 ***
ori_grid527     2.248e+00  1.373e-01    16.374  < 2e-16 ***
ori_grid528     2.991e+00  1.323e-01    22.608  < 2e-16 ***
ori_grid552     1.276e+00  1.393e-01     9.159  < 2e-16 ***
ori_grid553    -7.534e-01  1.819e-01    -4.143 3.43e-05 ***
ori_grid554     2.665e+00  1.331e-01    20.017  < 2e-16 ***
ori_grid555     2.311e+00  1.343e-01    17.205  < 2e-16 ***
ori_grid581     1.894e+00  1.315e-01    14.398  < 2e-16 ***
ori_grid582     2.376e+00  1.317e-01    18.043  < 2e-16 ***
ori_grid607     1.997e+00  1.350e-01    14.796  < 2e-16 ***
ori_grid608     1.724e+00  1.345e-01    12.822  < 2e-16 ***
ori_grid609     6.561e+00  1.280e-01    51.258  < 2e-16 ***
ori_grid610     2.181e+00  1.387e-01    15.721  < 2e-16 ***
ori_grid611    -1.235e-01  2.963e-01    -0.417 0.676778    
ori_grid634     3.196e+00  1.327e-01    24.092  < 2e-16 ***
ori_grid635     5.986e-01  1.421e-01     4.212 2.53e-05 ***
ori_grid636     3.153e+00  1.287e-01    24.501  < 2e-16 ***
ori_grid638     2.823e+00  1.299e-01    21.734  < 2e-16 ***
ori_grid661     2.431e+00  1.406e-01    17.297  < 2e-16 ***
ori_grid662     2.638e+00  1.331e-01    19.814  < 2e-16 ***
ori_grid663     2.666e+00  1.301e-01    20.486  < 2e-16 ***
ori_grid664     2.191e+00  1.357e-01    16.147  < 2e-16 ***
ori_grid665     4.054e+00  1.286e-01    31.523  < 2e-16 ***
ori_grid689     1.428e+00  1.342e-01    10.644  < 2e-16 ***
ori_grid690     2.582e+00  1.318e-01    19.581  < 2e-16 ***
ori_grid692     4.137e+00  1.286e-01    32.168  < 2e-16 ***
ori_grid693     3.188e+00  1.304e-01    24.443  < 2e-16 ***
ori_grid715     1.509e+00  1.395e-01    10.817  < 2e-16 ***
ori_grid716     2.328e+00  1.330e-01    17.496  < 2e-16 ***
ori_grid717     3.474e+00  1.291e-01    26.906  < 2e-16 ***
ori_grid718     6.759e+00  1.280e-01    52.791  < 2e-16 ***
ori_grid719     3.717e+00  1.293e-01    28.757  < 2e-16 ***
ori_grid720    -5.741e-01  2.882e-01    -1.992 0.046379 *  
ori_grid743     2.971e+00  1.303e-01    22.812  < 2e-16 ***
ori_grid744     2.996e+00  1.304e-01    22.967  < 2e-16 ***
ori_grid745     5.356e+00  1.281e-01    41.806  < 2e-16 ***
ori_grid746     6.244e+00  1.280e-01    48.761  < 2e-16 ***
ori_grid747     3.088e+00  1.301e-01    23.741  < 2e-16 ***
ori_grid748     1.918e+00  1.412e-01    13.581  < 2e-16 ***
ori_grid769     1.265e+00  1.435e-01     8.814  < 2e-16 ***
ori_grid770     2.500e+00  1.303e-01    19.178  < 2e-16 ***
ori_grid771     3.820e+00  1.285e-01    29.732  < 2e-16 ***
ori_grid772     6.294e+00  1.280e-01    49.164  < 2e-16 ***
ori_grid773     4.930e+00  1.283e-01    38.416  < 2e-16 ***
ori_grid774     2.603e+00  1.339e-01    19.435  < 2e-16 ***
ori_grid775     3.611e+00  1.305e-01    27.671  < 2e-16 ***
ori_grid776     1.524e+00  2.411e-01     6.323 2.57e-10 ***
ori_grid777     1.347e+00  2.447e-01     5.504 3.71e-08 ***
ori_grid797     1.882e+00  1.328e-01    14.165  < 2e-16 ***
ori_grid798     7.766e-01  1.674e-01     4.639 3.51e-06 ***
ori_grid799     5.990e+00  1.280e-01    46.781  < 2e-16 ***
ori_grid800     6.758e+00  1.280e-01    52.784  < 2e-16 ***
ori_grid802     1.124e+00  1.541e-01     7.291 3.07e-13 ***
ori_grid803     1.526e+00  1.827e-01     8.352  < 2e-16 ***
ori_grid805     1.864e+00  1.612e-01    11.561  < 2e-16 ***
ori_grid806     4.149e+00  1.355e-01    30.612  < 2e-16 ***
ori_grid823     1.787e+00  1.398e-01    12.788  < 2e-16 ***
ori_grid824     1.369e+00  1.383e-01     9.895  < 2e-16 ***
ori_grid825     3.629e+00  1.297e-01    27.982  < 2e-16 ***
ori_grid826     7.025e+00  1.280e-01    54.882  < 2e-16 ***
ori_grid827     6.259e+00  1.281e-01    48.878  < 2e-16 ***
ori_grid832     1.898e-01  1.009e+00     0.188 0.850862    
ori_grid833     1.314e+00  1.814e-01     7.244 4.37e-13 ***
ori_grid851    -6.365e-02  1.613e-01    -0.395 0.693097    
ori_grid852     2.810e+00  1.298e-01    21.651  < 2e-16 ***
ori_grid853     3.888e+00  1.283e-01    30.302  < 2e-16 ***
ori_grid854     5.597e+00  1.281e-01    43.698  < 2e-16 ***
ori_grid856     8.217e-02  2.410e-01     0.341 0.733108    
ori_grid861     1.567e+00  1.686e-01     9.292  < 2e-16 ***
ori_grid862     3.894e+00  1.631e-01    23.877  < 2e-16 ***
ori_grid878     1.695e+00  1.336e-01    12.691  < 2e-16 ***
ori_grid879     2.293e+00  1.304e-01    17.586  < 2e-16 ***
ori_grid880     4.498e+00  1.282e-01    35.098  < 2e-16 ***
ori_grid881     4.385e+00  1.285e-01    34.134  < 2e-16 ***
ori_grid888     2.558e+00  2.256e-01    11.340  < 2e-16 ***
ori_grid889     4.678e+00  1.415e-01    33.066  < 2e-16 ***
ori_grid905     2.044e+00  1.357e-01    15.068  < 2e-16 ***
ori_grid906    -1.301e-01  1.803e-01    -0.721 0.470687    
ori_grid907     2.484e+00  1.302e-01    19.079  < 2e-16 ***
ori_grid908     6.324e+00  1.280e-01    49.391  < 2e-16 ***
ori_grid910     1.768e+00  1.439e-01    12.281  < 2e-16 ***
ori_grid932     3.307e+00  1.292e-01    25.605  < 2e-16 ***
ori_grid933     3.605e+00  1.288e-01    27.982  < 2e-16 ***
ori_grid934     4.976e+00  1.281e-01    38.839  < 2e-16 ***
ori_grid935     5.892e+00  1.281e-01    46.010  < 2e-16 ***
ori_grid937     6.063e+00  1.282e-01    47.296  < 2e-16 ***
ori_grid959     3.698e+00  1.289e-01    28.700  < 2e-16 ***
ori_grid960     4.764e+00  1.282e-01    37.166  < 2e-16 ***
ori_grid961     5.811e+00  1.281e-01    45.378  < 2e-16 ***
ori_grid962     6.351e+00  1.280e-01    49.602  < 2e-16 ***
ori_grid986     6.827e-01  1.562e-01     4.371 1.23e-05 ***
ori_grid987     5.823e+00  1.281e-01    45.472  < 2e-16 ***
ori_grid988     5.005e+00  1.282e-01    39.053  < 2e-16 ***
ori_grid989     6.164e+00  1.280e-01    48.138  < 2e-16 ***
ori_grid991     2.935e+00  1.319e-01    22.254  < 2e-16 ***
ori_grid1013    7.105e-01  1.651e-01     4.303 1.68e-05 ***
ori_grid1014    4.050e+00  1.284e-01    31.532  < 2e-16 ***
ori_grid1015    4.933e+00  1.282e-01    38.471  < 2e-16 ***
ori_grid1016    5.077e+00  1.281e-01    39.635  < 2e-16 ***
ori_grid1042    4.750e+00  1.283e-01    37.037  < 2e-16 ***
ori_grid1043    5.380e+00  1.281e-01    42.004  < 2e-16 ***
ori_grid1045    2.527e+00  1.342e-01    18.828  < 2e-16 ***
ori_grid1067    3.560e+00  1.288e-01    27.639  < 2e-16 ***
ori_grid1068    2.859e+00  1.307e-01    21.873  < 2e-16 ***
ori_grid1069    2.687e+00  1.295e-01    20.755  < 2e-16 ***
ori_grid1070    5.771e+00  1.281e-01    45.071  < 2e-16 ***
ori_grid1078    2.219e+00  1.481e-01    14.987  < 2e-16 ***
ori_grid1093    1.721e+00  1.352e-01    12.731  < 2e-16 ***
ori_grid1094    4.912e+00  1.282e-01    38.324  < 2e-16 ***
ori_grid1095    2.015e+00  1.309e-01    15.389  < 2e-16 ***
ori_grid1096    5.457e+00  1.281e-01    42.612  < 2e-16 ***
ori_grid1097    5.546e+00  1.281e-01    43.291  < 2e-16 ***
ori_grid1099    7.201e+00  1.280e-01    56.240  < 2e-16 ***
ori_grid1100    3.385e+00  1.345e-01    25.165  < 2e-16 ***
ori_grid1122    5.728e+00  1.281e-01    44.720  < 2e-16 ***
ori_grid1123    6.026e+00  1.280e-01    47.064  < 2e-16 ***
ori_grid1124    5.400e+00  1.281e-01    42.161  < 2e-16 ***
ori_grid1125    5.974e+00  1.281e-01    46.643  < 2e-16 ***
ori_grid1126    4.947e+00  1.287e-01    38.442  < 2e-16 ***
ori_grid1127    6.495e+00  1.281e-01    50.717  < 2e-16 ***
ori_grid1128    6.474e+00  1.281e-01    50.522  < 2e-16 ***
ori_grid1132    1.003e+00  2.744e-01     3.655 0.000257 ***
ori_grid1147    5.743e-01  1.506e-01     3.813 0.000137 ***
ori_grid1148    4.114e+00  1.283e-01    32.067  < 2e-16 ***
ori_grid1149    3.396e+00  1.286e-01    26.409  < 2e-16 ***
ori_grid1150    6.061e+00  1.280e-01    47.335  < 2e-16 ***
ori_grid1151    5.800e+00  1.281e-01    45.293  < 2e-16 ***
ori_grid1152    5.667e+00  1.281e-01    44.245  < 2e-16 ***
ori_grid1153    7.434e+00  1.281e-01    58.045  < 2e-16 ***
ori_grid1154    6.763e+00  1.280e-01    52.816  < 2e-16 ***
ori_grid1155    3.181e+00  1.313e-01    24.233  < 2e-16 ***
ori_grid1158    4.675e+00  1.289e-01    36.260  < 2e-16 ***
ori_grid1174    2.007e+00  1.333e-01    15.057  < 2e-16 ***
ori_grid1175    2.278e+00  1.319e-01    17.279  < 2e-16 ***
ori_grid1176    4.642e+00  1.281e-01    36.232  < 2e-16 ***
ori_grid1177    3.713e+00  1.283e-01    28.931  < 2e-16 ***
ori_grid1178    5.618e+00  1.281e-01    43.866  < 2e-16 ***
ori_grid1179    5.250e+00  1.281e-01    40.979  < 2e-16 ***
ori_grid1180    4.689e+00  1.282e-01    36.565  < 2e-16 ***
ori_grid1181    6.161e+00  1.281e-01    48.105  < 2e-16 ***
ori_grid1182    6.470e+00  1.281e-01    50.510  < 2e-16 ***
ori_grid1183    6.667e+00  1.281e-01    52.033  < 2e-16 ***
ori_grid1185    3.487e+00  1.306e-01    26.701  < 2e-16 ***
ori_grid1201    2.387e+00  1.322e-01    18.064  < 2e-16 ***
ori_grid1202    4.555e+00  1.282e-01    35.532  < 2e-16 ***
ori_grid1203    3.239e+00  1.288e-01    25.150  < 2e-16 ***
ori_grid1205    6.241e+00  1.280e-01    48.742  < 2e-16 ***
ori_grid1206    5.563e+00  1.281e-01    43.424  < 2e-16 ***
ori_grid1207    5.303e+00  1.281e-01    41.390  < 2e-16 ***
ori_grid1209    7.008e+00  1.281e-01    54.716  < 2e-16 ***
ori_grid1210    3.271e+00  1.310e-01    24.982  < 2e-16 ***
ori_grid1211    3.075e+00  1.313e-01    23.412  < 2e-16 ***
ori_grid1212    2.837e+00  1.335e-01    21.258  < 2e-16 ***
ori_grid1228    1.712e+00  1.357e-01    12.621  < 2e-16 ***
ori_grid1229    2.780e+00  1.291e-01    21.542  < 2e-16 ***
ori_grid1230    4.472e+00  1.282e-01    34.890  < 2e-16 ***
ori_grid1231    5.359e+00  1.281e-01    41.819  < 2e-16 ***
ori_grid1232    5.975e+00  1.280e-01    46.662  < 2e-16 ***
ori_grid1233    5.849e+00  1.281e-01    45.643  < 2e-16 ***
ori_grid1235    6.232e+00  1.281e-01    48.655  < 2e-16 ***
ori_grid1236    4.625e+00  1.283e-01    36.057  < 2e-16 ***
ori_grid1237    5.203e+00  1.282e-01    40.578  < 2e-16 ***
ori_grid1238    2.607e+00  1.318e-01    19.777  < 2e-16 ***
ori_grid1239    1.225e+00  1.501e-01     8.163 3.27e-16 ***
ori_grid1240    1.150e+00  1.803e-01     6.376 1.81e-10 ***
ori_grid1255    4.070e+00  1.287e-01    31.632  < 2e-16 ***
ori_grid1256    3.740e+00  1.284e-01    29.138  < 2e-16 ***
ori_grid1257    2.668e+00  1.290e-01    20.677  < 2e-16 ***
ori_grid1258    4.612e+00  1.282e-01    35.977  < 2e-16 ***
ori_grid1259    5.711e+00  1.281e-01    44.593  < 2e-16 ***
ori_grid1261    5.834e+00  1.281e-01    45.552  < 2e-16 ***
ori_grid1262    5.926e+00  1.281e-01    46.264  < 2e-16 ***
ori_grid1263    3.315e+00  1.294e-01    25.609  < 2e-16 ***
ori_grid1264    4.117e+00  1.287e-01    31.994  < 2e-16 ***
ori_grid1265    2.221e+00  1.325e-01    16.759  < 2e-16 ***
ori_grid1266    3.709e+00  1.300e-01    28.523  < 2e-16 ***
ori_grid1282    4.196e+00  1.285e-01    32.650  < 2e-16 ***
ori_grid1283    4.931e+00  1.281e-01    38.501  < 2e-16 ***
ori_grid1284    4.560e+00  1.281e-01    35.586  < 2e-16 ***
ori_grid1285    3.271e+00  1.286e-01    25.434  < 2e-16 ***
ori_grid1286    5.035e+00  1.281e-01    39.305  < 2e-16 ***
ori_grid1287    5.112e+00  1.282e-01    39.889  < 2e-16 ***
ori_grid1288    3.049e+00  1.291e-01    23.611  < 2e-16 ***
ori_grid1289    6.052e+00  1.281e-01    47.263  < 2e-16 ***
ori_grid1293    1.513e+00  1.457e-01    10.388  < 2e-16 ***
ori_grid1308    3.096e+00  1.288e-01    24.040  < 2e-16 ***
ori_grid1309    5.519e+00  1.281e-01    43.098  < 2e-16 ***
ori_grid1310    6.441e+00  1.280e-01    50.309  < 2e-16 ***
ori_grid1311    2.990e+00  1.295e-01    23.081  < 2e-16 ***
ori_grid1312    3.517e+00  1.287e-01    27.327  < 2e-16 ***
ori_grid1314    4.570e+00  1.283e-01    35.632  < 2e-16 ***
ori_grid1315    6.289e+00  1.280e-01    49.117  < 2e-16 ***
ori_grid1316    5.462e+00  1.283e-01    42.579  < 2e-16 ***
ori_grid1318    2.401e+00  1.363e-01    17.610  < 2e-16 ***
ori_grid1319    6.679e+00  1.281e-01    52.154  < 2e-16 ***
ori_grid1320    5.466e+00  1.284e-01    42.583  < 2e-16 ***
ori_grid1335    6.234e-02  2.035e-01     0.306 0.759290    
ori_grid1336    4.009e+00  1.282e-01    31.270  < 2e-16 ***
ori_grid1337    5.386e+00  1.280e-01    42.065  < 2e-16 ***
ori_grid1338    4.983e+00  1.282e-01    38.880  < 2e-16 ***
ori_grid1339    2.994e+00  1.300e-01    23.034  < 2e-16 ***
ori_grid1340    3.378e+00  1.287e-01    26.251  < 2e-16 ***
ori_grid1341    5.016e+00  1.281e-01    39.150  < 2e-16 ***
ori_grid1342    3.828e+00  1.285e-01    29.787  < 2e-16 ***
ori_grid1343    6.119e+00  1.281e-01    47.772  < 2e-16 ***
ori_grid1347    2.457e+00  1.315e-01    18.685  < 2e-16 ***
ori_grid1348    6.582e+00  1.281e-01    51.391  < 2e-16 ***
ori_grid1350    7.731e+00  1.281e-01    60.348  < 2e-16 ***
ori_grid1362    3.437e+00  1.283e-01    26.791  < 2e-16 ***
ori_grid1363    4.322e+00  1.281e-01    33.726  < 2e-16 ***
ori_grid1364    4.775e+00  1.281e-01    37.272  < 2e-16 ***
ori_grid1366    5.009e+00  1.281e-01    39.100  < 2e-16 ***
ori_grid1367    3.056e+00  1.290e-01    23.686  < 2e-16 ***
ori_grid1368    4.107e+00  1.285e-01    31.962  < 2e-16 ***
ori_grid1369    6.483e+00  1.281e-01    50.626  < 2e-16 ***
ori_grid1370    7.225e+00  1.281e-01    56.414  < 2e-16 ***
ori_grid1372    4.333e-01  2.103e-01     2.061 0.039342 *  
ori_grid1374    4.801e+00  1.282e-01    37.444  < 2e-16 ***
ori_grid1375    7.402e+00  1.281e-01    57.800  < 2e-16 ***
ori_grid1389    3.542e+00  1.283e-01    27.606  < 2e-16 ***
ori_grid1390    2.150e+00  1.303e-01    16.498  < 2e-16 ***
ori_grid1391    3.010e+00  1.285e-01    23.424  < 2e-16 ***
ori_grid1392    4.088e+00  1.282e-01    31.886  < 2e-16 ***
ori_grid1394    4.440e+00  1.282e-01    34.618  < 2e-16 ***
ori_grid1396    5.753e+00  1.282e-01    44.874  < 2e-16 ***
ori_grid1397    5.868e+00  1.282e-01    45.770  < 2e-16 ***
ori_grid1401    6.071e+00  1.281e-01    47.399  < 2e-16 ***
ori_grid1402    6.142e+00  1.281e-01    47.954  < 2e-16 ***
ori_grid1416   -8.341e-02  2.230e-01    -0.374 0.708413    
ori_grid1417    2.214e+00  1.299e-01    17.045  < 2e-16 ***
ori_grid1418    3.650e+00  1.285e-01    28.399  < 2e-16 ***
ori_grid1419    3.388e+00  1.284e-01    26.383  < 2e-16 ***
ori_grid1420    5.240e+00  1.281e-01    40.911  < 2e-16 ***
ori_grid1422    2.906e+00  1.318e-01    22.042  < 2e-16 ***
ori_grid1423    8.086e+00  1.281e-01    63.111  < 2e-16 ***
ori_grid1426    3.992e+00  1.292e-01    30.894  < 2e-16 ***
ori_grid1428    5.548e+00  1.281e-01    43.302  < 2e-16 ***
ori_grid1429    5.410e+00  1.282e-01    42.212  < 2e-16 ***
ori_grid1443    2.406e+00  1.288e-01    18.678  < 2e-16 ***
ori_grid1444    1.456e+00  1.307e-01    11.138  < 2e-16 ***
ori_grid1445    4.517e+00  1.281e-01    35.256  < 2e-16 ***
ori_grid1446    3.172e+00  1.286e-01    24.674  < 2e-16 ***
ori_grid1447    4.839e+00  1.281e-01    37.775  < 2e-16 ***
ori_grid1455    5.177e+00  1.282e-01    40.368  < 2e-16 ***
ori_grid1456    5.827e+00  1.281e-01    45.484  < 2e-16 ***
ori_grid1457    1.567e+00  1.373e-01    11.412  < 2e-16 ***
ori_grid1469    4.765e+00  1.281e-01    37.201  < 2e-16 ***
ori_grid1470    4.013e+00  1.281e-01    31.319  < 2e-16 ***
ori_grid1471    4.966e+00  1.281e-01    38.774  < 2e-16 ***
ori_grid1472    3.200e+00  1.285e-01    24.906  < 2e-16 ***
ori_grid1480    6.043e-02  1.888e-01     0.320 0.748937    
ori_grid1482    5.621e+00  1.281e-01    43.876  < 2e-16 ***
ori_grid1483    5.587e+00  1.282e-01    43.587  < 2e-16 ***
ori_grid1496    2.731e+00  1.287e-01    21.211  < 2e-16 ***
ori_grid1497    8.415e-01  1.369e-01     6.146 7.94e-10 ***
ori_grid1498    3.247e+00  1.283e-01    25.313  < 2e-16 ***
ori_grid1499    4.470e+00  1.281e-01    34.888  < 2e-16 ***
ori_grid1500    2.046e+00  1.304e-01    15.694  < 2e-16 ***
ori_grid1501    4.231e+00  1.282e-01    33.005  < 2e-16 ***
ori_grid1507    2.483e+00  1.427e-01    17.402  < 2e-16 ***
ori_grid1509    5.156e+00  1.282e-01    40.206  < 2e-16 ***
ori_grid1510    7.119e+00  1.280e-01    55.600  < 2e-16 ***
ori_grid1511    4.590e+00  1.284e-01    35.736  < 2e-16 ***
ori_grid1523    1.025e+00  1.360e-01     7.534 4.92e-14 ***
ori_grid1524    1.716e+00  1.332e-01    12.890  < 2e-16 ***
ori_grid1525    4.938e+00  1.281e-01    38.560  < 2e-16 ***
ori_grid1526    2.604e+00  1.289e-01    20.200  < 2e-16 ***
ori_grid1527    1.433e+00  1.377e-01    10.403  < 2e-16 ***
ori_grid1534    7.759e-01  1.608e-01     4.826 1.40e-06 ***
ori_grid1536    6.168e+00  1.281e-01    48.152  < 2e-16 ***
ori_grid1537    5.331e+00  1.282e-01    41.589  < 2e-16 ***
ori_grid1550    3.584e+00  1.283e-01    27.943  < 2e-16 ***
ori_grid1551    1.611e+00  1.296e-01    12.430  < 2e-16 ***
ori_grid1552    2.037e+00  1.300e-01    15.675  < 2e-16 ***
ori_grid1553    4.063e+00  1.281e-01    31.707  < 2e-16 ***
ori_grid1554    3.018e+00  1.288e-01    23.436  < 2e-16 ***
ori_grid1555    2.956e+00  1.287e-01    22.973  < 2e-16 ***
ori_grid1562    2.807e+00  1.414e-01    19.856  < 2e-16 ***
ori_grid1563    5.463e+00  1.282e-01    42.604  < 2e-16 ***
ori_grid1564    6.513e+00  1.281e-01    50.861  < 2e-16 ***
ori_grid1565    4.627e+00  1.284e-01    36.042  < 2e-16 ***
ori_grid1576    2.713e+00  1.308e-01    20.737  < 2e-16 ***
ori_grid1578    2.578e+00  1.285e-01    20.067  < 2e-16 ***
ori_grid1579    5.122e+00  1.281e-01    39.995  < 2e-16 ***
ori_grid1581    4.248e+00  1.282e-01    33.144  < 2e-16 ***
ori_grid1588    1.143e+00  1.645e-01     6.950 3.66e-12 ***
ori_grid1590    6.585e+00  1.281e-01    51.417  < 2e-16 ***
ori_grid1591    6.162e+00  1.281e-01    48.112  < 2e-16 ***
ori_grid1592    2.580e+00  1.312e-01    19.670  < 2e-16 ***
ori_grid1604    2.993e+00  1.283e-01    23.327  < 2e-16 ***
ori_grid1605    4.186e+00  1.281e-01    32.675  < 2e-16 ***
ori_grid1606    3.814e+00  1.281e-01    29.761  < 2e-16 ***
ori_grid1607    3.068e+00  1.283e-01    23.905  < 2e-16 ***
ori_grid1616    2.462e+00  1.366e-01    18.023  < 2e-16 ***
ori_grid1617    4.991e+00  1.284e-01    38.876  < 2e-16 ***
ori_grid1618    6.406e+00  1.281e-01    50.021  < 2e-16 ***
ori_grid1619    5.074e+00  1.282e-01    39.581  < 2e-16 ***
ori_grid1620    2.849e+00  1.305e-01    21.830  < 2e-16 ***
ori_grid1630    2.188e+00  1.288e-01    16.984  < 2e-16 ***
ori_grid1631    3.092e+00  1.283e-01    24.111  < 2e-16 ***
ori_grid1632    4.344e+00  1.281e-01    33.913  < 2e-16 ***
ori_grid1633    3.116e+00  1.283e-01    24.277  < 2e-16 ***
ori_grid1634    4.508e+00  1.281e-01    35.188  < 2e-16 ***
ori_grid1635    2.636e+00  1.288e-01    20.468  < 2e-16 ***
ori_grid1642    2.107e+00  1.648e-01    12.786  < 2e-16 ***
ori_grid1644    5.404e+00  1.282e-01    42.159  < 2e-16 ***
ori_grid1645    6.032e+00  1.281e-01    47.090  < 2e-16 ***
ori_grid1646    4.127e+00  1.286e-01    32.103  < 2e-16 ***
ori_grid1647   -4.407e-01  4.652e-01    -0.947 0.343559    
ori_grid1658    4.590e+00  1.281e-01    35.824  < 2e-16 ***
ori_grid1659    4.276e+00  1.281e-01    33.380  < 2e-16 ***
ori_grid1660    3.397e+00  1.286e-01    26.418  < 2e-16 ***
ori_grid1661    2.811e+00  1.285e-01    21.868  < 2e-16 ***
ori_grid1662    4.326e+00  1.281e-01    33.759  < 2e-16 ***
ori_grid1669   -6.519e-02  2.283e-01    -0.285 0.775264    
ori_grid1670    1.725e+00  1.575e-01    10.952  < 2e-16 ***
ori_grid1672    5.227e+00  1.283e-01    40.726  < 2e-16 ***
ori_grid1673    4.249e+00  1.288e-01    32.995  < 2e-16 ***
ori_grid1674    4.148e+00  1.286e-01    32.244  < 2e-16 ***
ori_grid1684    4.637e+00  1.281e-01    36.204  < 2e-16 ***
ori_grid1685    3.484e+00  1.282e-01    27.176  < 2e-16 ***
ori_grid1686    4.134e+00  1.281e-01    32.269  < 2e-16 ***
ori_grid1687    1.584e+00  1.297e-01    12.215  < 2e-16 ***
ori_grid1688    1.835e+00  1.294e-01    14.184  < 2e-16 ***
ori_grid1689    2.197e+00  1.366e-01    16.088  < 2e-16 ***
ori_grid1695   -3.013e-02  2.577e-01    -0.117 0.906904    
ori_grid1699    5.123e+00  1.282e-01    39.974  < 2e-16 ***
ori_grid1700    1.317e+00  1.409e-01     9.346  < 2e-16 ***
ori_grid1701    2.995e+00  1.323e-01    22.631  < 2e-16 ***
ori_grid1712    3.452e+00  1.282e-01    26.925  < 2e-16 ***
ori_grid1713    4.681e+00  1.281e-01    36.554  < 2e-16 ***
ori_grid1714    2.052e+00  1.293e-01    15.869  < 2e-16 ***
ori_grid1716    3.868e+00  1.282e-01    30.181  < 2e-16 ***
ori_grid1723    2.638e+00  1.362e-01    19.371  < 2e-16 ***
ori_grid1726    2.516e+00  1.315e-01    19.139  < 2e-16 ***
ori_grid1727    6.332e+00  1.281e-01    49.436  < 2e-16 ***
ori_grid1728    3.600e+00  1.287e-01    27.963  < 2e-16 ***
ori_grid1738    2.971e+00  1.283e-01    23.161  < 2e-16 ***
ori_grid1739    4.057e+00  1.281e-01    31.671  < 2e-16 ***
ori_grid1740    2.837e+00  1.284e-01    22.102  < 2e-16 ***
ori_grid1741    3.100e+00  1.283e-01    24.160  < 2e-16 ***
ori_grid1743    1.775e+00  1.324e-01    13.403  < 2e-16 ***
ori_grid1744    1.787e-01  1.868e-01     0.957 0.338811    
ori_grid1748   -5.272e-01  2.183e-01    -2.415 0.015723 *  
ori_grid1749    5.606e+00  1.282e-01    43.743  < 2e-16 ***
ori_grid1753    6.374e+00  1.281e-01    49.770  < 2e-16 ***
ori_grid1754    5.084e+00  1.282e-01    39.665  < 2e-16 ***
ori_grid1765    4.752e+00  1.281e-01    37.105  < 2e-16 ***
ori_grid1766    4.725e+00  1.281e-01    36.894  < 2e-16 ***
ori_grid1767    4.377e+00  1.281e-01    34.173  < 2e-16 ***
ori_grid1768    9.871e-01  1.318e-01     7.489 6.94e-14 ***
ori_grid1770    2.440e+00  1.289e-01    18.922  < 2e-16 ***
ori_grid1771    1.145e+00  1.366e-01     8.382  < 2e-16 ***
ori_grid1776    3.120e-02  1.783e-01     0.175 0.861067    
ori_grid1777    4.305e+00  1.285e-01    33.507  < 2e-16 ***
ori_grid1778    1.990e+00  1.325e-01    15.023  < 2e-16 ***
ori_grid1780    3.906e+00  1.289e-01    30.298  < 2e-16 ***
ori_grid1781    6.169e+00  1.281e-01    48.162  < 2e-16 ***
ori_grid1792    4.074e+00  1.281e-01    31.798  < 2e-16 ***
ori_grid1793    4.802e+00  1.281e-01    37.503  < 2e-16 ***
ori_grid1794    3.591e+00  1.282e-01    28.023  < 2e-16 ***
ori_grid1795    2.749e+00  1.284e-01    21.415  < 2e-16 ***
ori_grid1796    3.499e+00  1.283e-01    27.267  < 2e-16 ***
ori_grid1798   -8.361e-01  2.019e-01    -4.140 3.47e-05 ***
ori_grid1800    2.166e+00  1.328e-01    16.314  < 2e-16 ***
ori_grid1802    9.160e-01  1.421e-01     6.448 1.13e-10 ***
ori_grid1804    1.952e-01  1.735e-01     1.125 0.260461    
ori_grid1805    4.013e+00  1.285e-01    31.225  < 2e-16 ***
ori_grid1806    5.111e+00  1.282e-01    39.881  < 2e-16 ***
ori_grid1807    5.445e+00  1.281e-01    42.494  < 2e-16 ***
ori_grid1808    2.825e+00  1.319e-01    21.420  < 2e-16 ***
ori_grid1820    4.167e+00  1.281e-01    32.530  < 2e-16 ***
ori_grid1821    4.925e+00  1.280e-01    38.459  < 2e-16 ***
ori_grid1822    2.850e+00  1.283e-01    22.208  < 2e-16 ***
ori_grid1823    2.921e+00  1.285e-01    22.726  < 2e-16 ***
ori_grid1824    4.030e+00  1.281e-01    31.450  < 2e-16 ***
ori_grid1827    4.353e+00  1.282e-01    33.958  < 2e-16 ***
ori_grid1828    4.136e+00  1.283e-01    32.229  < 2e-16 ***
ori_grid1829    3.923e+00  1.285e-01    30.540  < 2e-16 ***
ori_grid1831    3.287e+00  1.292e-01    25.433  < 2e-16 ***
ori_grid1833    6.182e+00  1.281e-01    48.271  < 2e-16 ***
ori_grid1834    5.096e+00  1.282e-01    39.753  < 2e-16 ***
ori_grid1835    5.693e+00  1.281e-01    44.428  < 2e-16 ***
ori_grid1846    6.746e-02  1.373e-01     0.491 0.623293    
ori_grid1847    4.096e+00  1.283e-01    31.919  < 2e-16 ***
ori_grid1848    3.592e+00  1.281e-01    28.033  < 2e-16 ***
ori_grid1849    4.322e+00  1.281e-01    33.751  < 2e-16 ***
ori_grid1850    3.545e+00  1.283e-01    27.621  < 2e-16 ***
ori_grid1852    7.098e-01  1.364e-01     5.203 1.97e-07 ***
ori_grid1853    3.920e+00  1.282e-01    30.566  < 2e-16 ***
ori_grid1854    3.697e+00  1.284e-01    28.798  < 2e-16 ***
ori_grid1855    3.634e+00  1.285e-01    28.281  < 2e-16 ***
ori_grid1856    2.196e+00  1.416e-01    15.502  < 2e-16 ***
ori_grid1857    4.630e-01  1.724e-01     2.686 0.007240 ** 
ori_grid1858    4.549e+00  1.283e-01    35.465  < 2e-16 ***
ori_grid1859    5.340e+00  1.281e-01    41.671  < 2e-16 ***
ori_grid1860    5.788e+00  1.281e-01    45.186  < 2e-16 ***
ori_grid1861    6.698e+00  1.281e-01    52.289  < 2e-16 ***
ori_grid1862    2.445e+00  1.344e-01    18.197  < 2e-16 ***
ori_grid1874    3.786e+00  1.281e-01    29.551  < 2e-16 ***
ori_grid1875    3.898e+00  1.281e-01    30.430  < 2e-16 ***
ori_grid1876    1.589e+00  1.294e-01    12.279  < 2e-16 ***
ori_grid1877    3.609e+00  1.282e-01    28.153  < 2e-16 ***
ori_grid1878    2.643e+00  1.286e-01    20.549  < 2e-16 ***
ori_grid1879    2.133e+00  1.289e-01    16.543  < 2e-16 ***
ori_grid1882    4.949e+00  1.281e-01    38.634  < 2e-16 ***
ori_grid1883    4.681e+00  1.282e-01    36.519  < 2e-16 ***
ori_grid1884    3.705e+00  1.288e-01    28.764  < 2e-16 ***
ori_grid1886    6.622e+00  1.281e-01    51.712  < 2e-16 ***
ori_grid1887    6.609e+00  1.281e-01    51.614  < 2e-16 ***
ori_grid1888    5.091e+00  1.282e-01    39.706  < 2e-16 ***
ori_grid1889    2.730e+00  1.397e-01    19.541  < 2e-16 ***
ori_grid1890    3.641e+00  1.344e-01    27.098  < 2e-16 ***
ori_grid1900    2.370e+00  1.288e-01    18.404  < 2e-16 ***
ori_grid1901    4.001e+00  1.281e-01    31.234  < 2e-16 ***
ori_grid1902    3.359e+00  1.282e-01    26.199  < 2e-16 ***
ori_grid1903    2.719e+00  1.288e-01    21.100  < 2e-16 ***
ori_grid1904    3.629e+00  1.282e-01    28.301  < 2e-16 ***
ori_grid1905    3.095e+00  1.283e-01    24.131  < 2e-16 ***
ori_grid1906    3.460e+00  1.282e-01    26.980  < 2e-16 ***
ori_grid1907    4.438e+00  1.281e-01    34.636  < 2e-16 ***
ori_grid1908    4.202e+00  1.283e-01    32.762  < 2e-16 ***
ori_grid1909    5.591e+00  1.281e-01    43.651  < 2e-16 ***
ori_grid1910    4.264e+00  1.283e-01    33.235  < 2e-16 ***
ori_grid1912    3.817e+00  1.289e-01    29.597  < 2e-16 ***
ori_grid1913    5.086e+00  1.282e-01    39.676  < 2e-16 ***
ori_grid1914    6.409e+00  1.281e-01    50.043  < 2e-16 ***
ori_grid1916    5.508e+00  1.290e-01    42.689  < 2e-16 ***
ori_grid1928    3.819e+00  1.281e-01    29.805  < 2e-16 ***
ori_grid1929    3.417e+00  1.282e-01    26.660  < 2e-16 ***
ori_grid1930    3.197e+00  1.282e-01    24.941  < 2e-16 ***
ori_grid1931    3.201e+00  1.282e-01    24.961  < 2e-16 ***
ori_grid1932    3.748e+00  1.282e-01    29.247  < 2e-16 ***
ori_grid1933    4.130e+00  1.283e-01    32.195  < 2e-16 ***
ori_grid1934    2.509e+00  1.286e-01    19.505  < 2e-16 ***
ori_grid1935    4.727e+00  1.281e-01    36.901  < 2e-16 ***
ori_grid1936    5.249e+00  1.281e-01    40.976  < 2e-16 ***
ori_grid1937    4.762e+00  1.281e-01    37.166  < 2e-16 ***
ori_grid1938    1.735e+00  1.343e-01    12.915  < 2e-16 ***
ori_grid1940    6.669e+00  1.281e-01    52.073  < 2e-16 ***
ori_grid1941    5.852e+00  1.281e-01    45.677  < 2e-16 ***
ori_grid1942    5.034e+00  1.284e-01    39.215  < 2e-16 ***
ori_grid1954    2.861e+00  1.288e-01    22.213  < 2e-16 ***
ori_grid1955    4.046e+00  1.281e-01    31.585  < 2e-16 ***
ori_grid1956    2.837e+00  1.283e-01    22.109  < 2e-16 ***
ori_grid1958    4.151e+00  1.281e-01    32.401  < 2e-16 ***
ori_grid1959    4.729e+00  1.281e-01    36.930  < 2e-16 ***
ori_grid1960    5.010e+00  1.281e-01    39.106  < 2e-16 ***
ori_grid1961    4.725e+00  1.281e-01    36.891  < 2e-16 ***
ori_grid1962    5.184e+00  1.281e-01    40.477  < 2e-16 ***
ori_grid1963    4.313e+00  1.281e-01    33.653  < 2e-16 ***
ori_grid1964    3.802e+00  1.283e-01    29.628  < 2e-16 ***
ori_grid1967    6.931e+00  1.281e-01    54.120  < 2e-16 ***
ori_grid1968    6.562e+00  1.281e-01    51.231  < 2e-16 ***
ori_grid1982    3.016e+00  1.283e-01    23.516  < 2e-16 ***
ori_grid1983    3.438e+00  1.282e-01    26.826  < 2e-16 ***
ori_grid1984    4.307e+00  1.281e-01    33.630  < 2e-16 ***
ori_grid1985    3.126e+00  1.283e-01    24.365  < 2e-16 ***
ori_grid1986    4.190e+00  1.281e-01    32.699  < 2e-16 ***
ori_grid1987    5.554e+00  1.280e-01    43.378  < 2e-16 ***
ori_grid1988    3.950e+00  1.281e-01    30.828  < 2e-16 ***
ori_grid1989    5.021e+00  1.281e-01    39.208  < 2e-16 ***
ori_grid1990    6.190e+00  1.280e-01    48.348  < 2e-16 ***
ori_grid1991    5.907e+00  1.281e-01    46.132  < 2e-16 ***
ori_grid1992    3.297e+00  1.288e-01    25.590  < 2e-16 ***
ori_grid1994    5.169e+00  1.283e-01    40.291  < 2e-16 ***
ori_grid1995    7.032e+00  1.281e-01    54.905  < 2e-16 ***
ori_grid2009    2.819e+00  1.283e-01    21.970  < 2e-16 ***
ori_grid2010    3.675e+00  1.281e-01    28.682  < 2e-16 ***
ori_grid2011    4.501e+00  1.281e-01    35.149  < 2e-16 ***
ori_grid2012    3.628e+00  1.282e-01    28.309  < 2e-16 ***
ori_grid2013    4.075e+00  1.281e-01    31.810  < 2e-16 ***
ori_grid2014    4.586e+00  1.281e-01    35.801  < 2e-16 ***
ori_grid2015    4.427e+00  1.281e-01    34.558  < 2e-16 ***
ori_grid2016    4.991e+00  1.281e-01    38.966  < 2e-16 ***
ori_grid2017    4.808e+00  1.281e-01    37.530  < 2e-16 ***
ori_grid2021    5.378e+00  1.282e-01    41.939  < 2e-16 ***
ori_grid2036   -6.630e-01  1.634e-01    -4.057 4.96e-05 ***
ori_grid2037    1.780e+00  1.289e-01    13.806  < 2e-16 ***
ori_grid2038    4.041e+00  1.281e-01    31.550  < 2e-16 ***
ori_grid2039    4.889e+00  1.281e-01    38.162  < 2e-16 ***
ori_grid2040    4.926e+00  1.281e-01    38.462  < 2e-16 ***
ori_grid2041    5.797e+00  1.281e-01    45.267  < 2e-16 ***
ori_grid2042    4.737e+00  1.281e-01    36.984  < 2e-16 ***
ori_grid2043    3.273e+00  1.283e-01    25.505  < 2e-16 ***
ori_grid2044    5.472e+00  1.281e-01    42.728  < 2e-16 ***
ori_grid2046    4.167e+00  1.284e-01    32.464  < 2e-16 ***
ori_grid2049    5.494e+00  1.282e-01    42.843  < 2e-16 ***
ori_grid2063    1.695e+00  1.298e-01    13.054  < 2e-16 ***
ori_grid2064    2.433e+00  1.285e-01    18.933  < 2e-16 ***
ori_grid2065    3.764e+00  1.281e-01    29.374  < 2e-16 ***
ori_grid2066    3.943e+00  1.281e-01    30.777  < 2e-16 ***
ori_grid2067    4.676e+00  1.281e-01    36.514  < 2e-16 ***
ori_grid2068    4.476e+00  1.281e-01    34.945  < 2e-16 ***
ori_grid2069    2.916e+00  1.285e-01    22.699  < 2e-16 ***
ori_grid2070    5.644e+00  1.281e-01    44.070  < 2e-16 ***
ori_grid2071    4.272e+00  1.282e-01    33.320  < 2e-16 ***
ori_grid2072    3.002e+00  1.299e-01    23.107  < 2e-16 ***
ori_grid2074   -1.865e-01  2.084e-01    -0.895 0.370850    
ori_grid2089    9.497e-01  1.546e-01     6.141 8.18e-10 ***
ori_grid2090   -1.171e+00  1.013e+00    -1.156 0.247573    
ori_grid2091    1.233e+00  1.303e-01     9.463  < 2e-16 ***
ori_grid2092    3.050e+00  1.283e-01    23.772  < 2e-16 ***
ori_grid2093    4.127e+00  1.281e-01    32.220  < 2e-16 ***
ori_grid2094    4.622e+00  1.281e-01    36.090  < 2e-16 ***
ori_grid2095    5.586e+00  1.281e-01    43.604  < 2e-16 ***
ori_grid2096    2.362e+00  1.288e-01    18.340  < 2e-16 ***
ori_grid2097    2.848e+00  1.304e-01    21.837  < 2e-16 ***
ori_grid2098    3.749e+00  1.283e-01    29.231  < 2e-16 ***
ori_grid2100    2.572e+00  1.317e-01    19.524  < 2e-16 ***
ori_grid2101    1.451e+00  1.424e-01    10.187  < 2e-16 ***
ori_grid2102    1.828e+00  1.375e-01    13.292  < 2e-16 ***
ori_grid2116    1.526e+00  1.416e-01    10.771  < 2e-16 ***
ori_grid2117   -9.171e-01  1.013e+00    -0.905 0.365201    
ori_grid2119    4.140e+00  1.281e-01    32.322  < 2e-16 ***
ori_grid2120    3.731e+00  1.281e-01    29.118  < 2e-16 ***
ori_grid2121    3.979e+00  1.281e-01    31.048  < 2e-16 ***
ori_grid2122    1.295e+00  1.356e-01     9.554  < 2e-16 ***
ori_grid2123    4.222e+00  1.281e-01    32.948  < 2e-16 ***
ori_grid2124    4.057e+00  1.283e-01    31.615  < 2e-16 ***
ori_grid2125    3.725e+00  1.283e-01    29.021  < 2e-16 ***
ori_grid2126    3.367e+00  1.287e-01    26.151  < 2e-16 ***
ori_grid2129    8.704e-01  1.599e-01     5.444 5.21e-08 ***
ori_grid2146    3.827e+00  1.289e-01    29.700  < 2e-16 ***
ori_grid2147    4.244e+00  1.281e-01    33.130  < 2e-16 ***
ori_grid2148    5.105e+00  1.281e-01    39.865  < 2e-16 ***
ori_grid2149    4.528e+00  1.281e-01    35.342  < 2e-16 ***
ori_grid2150    3.218e+00  1.284e-01    25.074  < 2e-16 ***
ori_grid2151    3.859e+00  1.282e-01    30.098  < 2e-16 ***
ori_grid2152    5.074e+00  1.281e-01    39.608  < 2e-16 ***
ori_grid2153    2.292e+00  1.313e-01    17.456  < 2e-16 ***
ori_grid2154    4.948e+00  1.282e-01    38.609  < 2e-16 ***
ori_grid2155    2.166e+00  1.324e-01    16.355  < 2e-16 ***
ori_grid2171   -9.525e-01  2.883e-01    -3.304 0.000955 ***
ori_grid2172    4.614e+00  1.285e-01    35.908  < 2e-16 ***
ori_grid2174    3.487e+00  1.284e-01    27.166  < 2e-16 ***
ori_grid2175    4.926e+00  1.281e-01    38.462  < 2e-16 ***
ori_grid2176    4.636e+00  1.281e-01    36.195  < 2e-16 ***
ori_grid2177    5.509e+00  1.280e-01    43.023  < 2e-16 ***
ori_grid2178    4.308e+00  1.281e-01    33.617  < 2e-16 ***
ori_grid2179    4.734e+00  1.281e-01    36.944  < 2e-16 ***
ori_grid2180    5.262e+00  1.281e-01    41.075  < 2e-16 ***
ori_grid2181    5.729e+00  1.281e-01    44.726  < 2e-16 ***
ori_grid2182    2.275e+00  1.367e-01    16.643  < 2e-16 ***
ori_grid2200    3.678e+00  1.290e-01    28.510  < 2e-16 ***
ori_grid2201    4.789e+00  1.281e-01    37.397  < 2e-16 ***
ori_grid2202    2.674e+00  1.291e-01    20.718  < 2e-16 ***
ori_grid2203    4.724e+00  1.281e-01    36.873  < 2e-16 ***
ori_grid2204    3.996e+00  1.281e-01    31.184  < 2e-16 ***
ori_grid2205    4.181e+00  1.282e-01    32.620  < 2e-16 ***
ori_grid2206    5.658e+00  1.281e-01    44.181  < 2e-16 ***
ori_grid2207    4.475e+00  1.282e-01    34.920  < 2e-16 ***
ori_grid2208    5.866e+00  1.281e-01    45.801  < 2e-16 ***
ori_grid2209    1.226e+00  1.467e-01     8.361  < 2e-16 ***
ori_grid2227    3.166e+00  1.283e-01    24.666  < 2e-16 ***
ori_grid2228    4.699e+00  1.281e-01    36.682  < 2e-16 ***
ori_grid2229    3.894e+00  1.281e-01    30.390  < 2e-16 ***
ori_grid2230    3.826e+00  1.283e-01    29.817  < 2e-16 ***
ori_grid2231    4.573e+00  1.281e-01    35.697  < 2e-16 ***
ori_grid2233    5.797e+00  1.281e-01    45.273  < 2e-16 ***
ori_grid2234    1.463e+00  1.348e-01    10.858  < 2e-16 ***
ori_grid2235    3.355e+00  1.321e-01    25.400  < 2e-16 ***
ori_grid2254    3.096e+00  1.290e-01    23.997  < 2e-16 ***
ori_grid2255    4.597e+00  1.281e-01    35.892  < 2e-16 ***
ori_grid2256    3.939e+00  1.281e-01    30.739  < 2e-16 ***
ori_grid2257    3.208e+00  1.285e-01    24.966  < 2e-16 ***
ori_grid2258    3.920e+00  1.282e-01    30.581  < 2e-16 ***
ori_grid2259    3.152e+00  1.286e-01    24.516  < 2e-16 ***
ori_grid2260    5.536e+00  1.281e-01    43.228  < 2e-16 ***
ori_grid2261    5.638e+00  1.281e-01    44.023  < 2e-16 ***
ori_grid2262    5.242e+00  1.281e-01    40.909  < 2e-16 ***
ori_grid2281    4.600e+00  1.281e-01    35.909  < 2e-16 ***
ori_grid2282    4.584e+00  1.281e-01    35.784  < 2e-16 ***
ori_grid2283    4.567e+00  1.281e-01    35.658  < 2e-16 ***
ori_grid2284    3.378e+00  1.283e-01    26.337  < 2e-16 ***
ori_grid2285    5.531e+00  1.281e-01    43.181  < 2e-16 ***
ori_grid2286    3.997e+00  1.282e-01    31.173  < 2e-16 ***
ori_grid2287    5.907e+00  1.281e-01    46.131  < 2e-16 ***
ori_grid2288    4.690e+00  1.283e-01    36.569  < 2e-16 ***
ori_grid2308    4.004e+00  1.283e-01    31.215  < 2e-16 ***
ori_grid2309    4.852e+00  1.281e-01    37.883  < 2e-16 ***
ori_grid2310    4.266e+00  1.281e-01    33.303  < 2e-16 ***
ori_grid2311    4.366e+00  1.281e-01    34.083  < 2e-16 ***
ori_grid2312    1.891e+00  1.296e-01    14.587  < 2e-16 ***
ori_grid2313    4.800e+00  1.281e-01    37.469  < 2e-16 ***
ori_grid2314    5.659e+00  1.280e-01    44.195  < 2e-16 ***
ori_grid2315    4.748e+00  1.281e-01    37.054  < 2e-16 ***
ori_grid2316    6.212e+00  1.281e-01    48.502  < 2e-16 ***
ori_grid2317    6.038e+00  1.284e-01    47.040  < 2e-16 ***
ori_grid2335    3.223e+00  1.284e-01    25.104  < 2e-16 ***
ori_grid2336    4.740e+00  1.281e-01    37.013  < 2e-16 ***
ori_grid2337    3.649e+00  1.282e-01    28.468  < 2e-16 ***
ori_grid2338    1.431e+00  1.307e-01    10.945  < 2e-16 ***
ori_grid2339    4.862e+00  1.281e-01    37.953  < 2e-16 ***
ori_grid2340    5.556e+00  1.281e-01    43.390  < 2e-16 ***
ori_grid2341    5.519e+00  1.281e-01    43.097  < 2e-16 ***
ori_grid2342    5.351e+00  1.281e-01    41.780  < 2e-16 ***
ori_grid2343    5.585e+00  1.281e-01    43.598  < 2e-16 ***
ori_grid2362    3.680e+00  1.284e-01    28.658  < 2e-16 ***
ori_grid2363    4.200e+00  1.282e-01    32.776  < 2e-16 ***
ori_grid2364    1.041e+00  1.326e-01     7.855 4.00e-15 ***
ori_grid2365    2.900e+00  1.284e-01    22.588  < 2e-16 ***
ori_grid2366   -1.487e+00  2.230e-01    -6.666 2.63e-11 ***
ori_grid2367    4.555e+00  1.281e-01    35.546  < 2e-16 ***
ori_grid2368    5.261e+00  1.281e-01    41.080  < 2e-16 ***
ori_grid2369    5.281e+00  1.281e-01    41.230  < 2e-16 ***
ori_grid2370    5.937e+00  1.281e-01    46.363  < 2e-16 ***
ori_grid2371    6.148e+00  1.281e-01    48.000  < 2e-16 ***
ori_grid2389    3.984e+00  1.282e-01    31.076  < 2e-16 ***
ori_grid2390    4.758e+00  1.281e-01    37.152  < 2e-16 ***
ori_grid2391    4.366e+00  1.281e-01    34.076  < 2e-16 ***
ori_grid2392    3.277e+00  1.287e-01    25.466  < 2e-16 ***
ori_grid2393    2.227e+00  1.308e-01    17.031  < 2e-16 ***
ori_grid2394    3.678e+00  1.283e-01    28.655  < 2e-16 ***
ori_grid2395    5.376e+00  1.281e-01    41.976  < 2e-16 ***
ori_grid2396    5.826e+00  1.281e-01    45.495  < 2e-16 ***
ori_grid2397    5.031e+00  1.282e-01    39.247  < 2e-16 ***
ori_grid2398    5.732e+00  1.282e-01    44.696  < 2e-16 ***
ori_grid2416    4.077e+00  1.282e-01    31.800  < 2e-16 ***
ori_grid2417    4.522e+00  1.282e-01    35.273  < 2e-16 ***
ori_grid2418    4.068e+00  1.281e-01    31.746  < 2e-16 ***
ori_grid2419    3.795e+00  1.282e-01    29.608  < 2e-16 ***
ori_grid2420    2.780e+00  1.303e-01    21.337  < 2e-16 ***
ori_grid2422    4.359e+00  1.286e-01    33.889  < 2e-16 ***
ori_grid2423    5.022e+00  1.281e-01    39.200  < 2e-16 ***
ori_grid2424    6.510e+00  1.280e-01    50.844  < 2e-16 ***
ori_grid2425    6.019e+00  1.281e-01    46.999  < 2e-16 ***
ori_grid2426    5.607e+00  1.284e-01    43.686  < 2e-16 ***
ori_grid2443    4.936e+00  1.281e-01    38.542  < 2e-16 ***
ori_grid2444    5.074e+00  1.281e-01    39.621  < 2e-16 ***
ori_grid2445    5.127e+00  1.281e-01    40.036  < 2e-16 ***
ori_grid2448    2.197e+00  1.313e-01    16.738  < 2e-16 ***
ori_grid2449    5.375e+00  1.281e-01    41.951  < 2e-16 ***
ori_grid2450    5.639e+00  1.281e-01    44.019  < 2e-16 ***
ori_grid2451    6.729e+00  1.280e-01    52.549  < 2e-16 ***
ori_grid2452    2.618e+00  1.327e-01    19.725  < 2e-16 ***
ori_grid2471    4.264e+00  1.281e-01    33.282  < 2e-16 ***
ori_grid2472    3.305e+00  1.289e-01    25.640  < 2e-16 ***
ori_grid2473    4.789e+00  1.281e-01    37.386  < 2e-16 ***
ori_grid2476    2.624e+00  1.304e-01    20.121  < 2e-16 ***
ori_grid2478    5.339e+00  1.281e-01    41.667  < 2e-16 ***
ori_grid2479    4.207e+00  1.285e-01    32.733  < 2e-16 ***
ori_grid2480    2.943e+00  1.329e-01    22.145  < 2e-16 ***
ori_grid2497    5.222e+00  1.281e-01    40.777  < 2e-16 ***
ori_grid2498    3.472e+00  1.283e-01    27.057  < 2e-16 ***
ori_grid2499    5.110e+00  1.281e-01    39.897  < 2e-16 ***
ori_grid2500    1.049e+00  1.348e-01     7.781 7.18e-15 ***
ori_grid2503   -4.588e-01  1.991e-01    -2.304 0.021219 *  
ori_grid2504    4.007e+00  1.287e-01    31.123  < 2e-16 ***
ori_grid2505    5.421e+00  1.281e-01    42.307  < 2e-16 ***
ori_grid2525    3.867e+00  1.282e-01    30.156  < 2e-16 ***
ori_grid2526    4.727e+00  1.281e-01    36.905  < 2e-16 ***
ori_grid2527    4.977e+00  1.281e-01    38.860  < 2e-16 ***
ori_grid2531   -1.396e+00  4.652e-01    -3.001 0.002694 ** 
ori_grid2532    5.303e+00  1.281e-01    41.384  < 2e-16 ***
ori_grid2533    6.320e+00  1.282e-01    49.300  < 2e-16 ***
ori_grid2551    4.086e+00  1.282e-01    31.874  < 2e-16 ***
ori_grid2552    3.412e+00  1.286e-01    26.534  < 2e-16 ***
ori_grid2553    4.437e+00  1.282e-01    34.598  < 2e-16 ***
ori_grid2554    3.304e+00  1.284e-01    25.724  < 2e-16 ***
ori_grid2557    2.630e+00  1.305e-01    20.153  < 2e-16 ***
ori_grid2559    5.448e+00  1.282e-01    42.485  < 2e-16 ***
ori_grid2579    4.065e+00  1.282e-01    31.713  < 2e-16 ***
ori_grid2580    4.937e+00  1.281e-01    38.543  < 2e-16 ***
ori_grid2581    4.489e+00  1.281e-01    35.028  < 2e-16 ***
ori_grid2584    1.081e+00  1.424e-01     7.591 3.18e-14 ***
ori_grid2605    4.216e+00  1.283e-01    32.845  < 2e-16 ***
ori_grid2606    4.009e+00  1.288e-01    31.116  < 2e-16 ***
ori_grid2607    5.518e+00  1.281e-01    43.089  < 2e-16 ***
ori_grid2608    3.905e+00  1.283e-01    30.447  < 2e-16 ***
ori_grid2609    3.203e+00  1.288e-01    24.869  < 2e-16 ***
ori_grid2610    2.633e+00  1.302e-01    20.217  < 2e-16 ***
ori_grid2611    8.149e-01  1.523e-01     5.350 8.78e-08 ***
ori_grid2633    4.130e+00  1.282e-01    32.217  < 2e-16 ***
ori_grid2634    5.618e+00  1.280e-01    43.875  < 2e-16 ***
ori_grid2635    5.197e+00  1.281e-01    40.567  < 2e-16 ***
ori_grid2636    4.991e+00  1.281e-01    38.962  < 2e-16 ***
ori_grid2637    3.555e+00  1.284e-01    27.689  < 2e-16 ***
ori_grid2638    3.359e+00  1.284e-01    26.152  < 2e-16 ***
ori_grid2660    3.559e+00  1.283e-01    27.744  < 2e-16 ***
ori_grid2661    4.957e+00  1.281e-01    38.707  < 2e-16 ***
ori_grid2662    3.993e+00  1.282e-01    31.158  < 2e-16 ***
ori_grid2663    5.608e+00  1.281e-01    43.789  < 2e-16 ***
ori_grid2664    4.083e+00  1.282e-01    31.854  < 2e-16 ***
ori_grid2665    4.891e+00  1.281e-01    38.178  < 2e-16 ***
ori_grid2687    4.136e+00  1.282e-01    32.264  < 2e-16 ***
ori_grid2688    4.899e+00  1.281e-01    38.252  < 2e-16 ***
ori_grid2689    5.148e+00  1.281e-01    40.198  < 2e-16 ***
ori_grid2690    4.273e+00  1.281e-01    33.347  < 2e-16 ***
ori_grid2691    5.592e+00  1.281e-01    43.667  < 2e-16 ***
ori_grid2693    5.278e+00  1.281e-01    41.206  < 2e-16 ***
ori_grid2714    4.507e+00  1.281e-01    35.175  < 2e-16 ***
ori_grid2715    5.453e+00  1.281e-01    42.575  < 2e-16 ***
ori_grid2716    1.196e+00  1.305e-01     9.163  < 2e-16 ***
ori_grid2717    4.536e+00  1.281e-01    35.409  < 2e-16 ***
ori_grid2718    4.679e+00  1.281e-01    36.518  < 2e-16 ***
ori_grid2719    5.368e+00  1.281e-01    41.909  < 2e-16 ***
ori_grid2742    4.987e+00  1.281e-01    38.937  < 2e-16 ***
ori_grid2743    3.682e+00  1.285e-01    28.664  < 2e-16 ***
ori_grid2744    5.016e+00  1.281e-01    39.170  < 2e-16 ***
ori_grid2745    4.955e+00  1.281e-01    38.692  < 2e-16 ***
ori_grid2746    4.081e+00  1.284e-01    31.782  < 2e-16 ***
ori_grid2747    4.715e+00  1.282e-01    36.788  < 2e-16 ***
ori_grid2768    4.890e+00  1.281e-01    38.168  < 2e-16 ***
ori_grid2769    5.122e+00  1.281e-01    39.997  < 2e-16 ***
ori_grid2770    3.343e+00  1.283e-01    26.061  < 2e-16 ***
ori_grid2771    5.527e+00  1.280e-01    43.160  < 2e-16 ***
ori_grid2772    4.128e+00  1.283e-01    32.172  < 2e-16 ***
ori_grid2773    4.806e+00  1.281e-01    37.512  < 2e-16 ***
ori_grid2795    1.452e+00  1.616e-01     8.986  < 2e-16 ***
ori_grid2796    2.358e+00  1.298e-01    18.172  < 2e-16 ***
ori_grid2797    3.530e+00  1.282e-01    27.530  < 2e-16 ***
ori_grid2798    4.123e+00  1.281e-01    32.174  < 2e-16 ***
ori_grid2799    4.632e+00  1.281e-01    36.163  < 2e-16 ***
ori_grid2800    4.768e+00  1.281e-01    37.225  < 2e-16 ***
ori_grid2801    2.641e+00  1.308e-01    20.183  < 2e-16 ***
ori_grid2822    2.469e+00  1.292e-01    19.109  < 2e-16 ***
ori_grid2823    2.713e+00  1.286e-01    21.103  < 2e-16 ***
ori_grid2824    4.344e+00  1.281e-01    33.905  < 2e-16 ***
ori_grid2825    5.067e+00  1.281e-01    39.563  < 2e-16 ***
ori_grid2826    5.037e+00  1.281e-01    39.316  < 2e-16 ***
ori_grid2827    5.148e+00  1.281e-01    40.193  < 2e-16 ***
ori_grid2850    3.751e+00  1.285e-01    29.198  < 2e-16 ***
ori_grid2851    2.138e+00  1.290e-01    16.572  < 2e-16 ***
ori_grid2852    4.671e+00  1.281e-01    36.468  < 2e-16 ***
ori_grid2853    5.454e+00  1.281e-01    42.596  < 2e-16 ***
ori_grid2854    5.353e+00  1.281e-01    41.796  < 2e-16 ***
ori_grid2877    2.586e+00  1.292e-01    20.025  < 2e-16 ***
ori_grid2878    4.073e+00  1.282e-01    31.781  < 2e-16 ***
ori_grid2879    5.052e+00  1.281e-01    39.428  < 2e-16 ***
ori_grid2880    4.599e+00  1.281e-01    35.899  < 2e-16 ***
ori_grid2881    5.023e+00  1.281e-01    39.215  < 2e-16 ***
ori_grid2905    4.093e+00  1.282e-01    31.923  < 2e-16 ***
ori_grid2906    3.543e+00  1.284e-01    27.603  < 2e-16 ***
ori_grid2907    4.545e+00  1.281e-01    35.479  < 2e-16 ***
ori_grid2908    4.783e+00  1.281e-01    37.338  < 2e-16 ***
ori_grid2909    3.936e+00  1.296e-01    30.377  < 2e-16 ***
ori_grid2931    8.509e-01  1.351e-01     6.300 2.98e-10 ***
ori_grid2932   -2.574e-01  1.454e-01    -1.771 0.076596 .  
ori_grid2933    2.884e+00  1.286e-01    22.434  < 2e-16 ***
ori_grid2934    4.035e+00  1.281e-01    31.490  < 2e-16 ***
ori_grid2959    1.617e+00  1.309e-01    12.349  < 2e-16 ***
ori_grid2960    2.820e+00  1.293e-01    21.809  < 2e-16 ***
ori_grid2961    4.082e+00  1.282e-01    31.828  < 2e-16 ***
ori_grid2962    3.699e+00  1.283e-01    28.835  < 2e-16 ***
ori_grid2963    8.695e-01  1.477e-01     5.889 3.88e-09 ***
ori_grid2987    1.729e+00  1.339e-01    12.910  < 2e-16 ***
ori_grid2988    2.143e+00  1.298e-01    16.509  < 2e-16 ***
ori_grid2989    2.185e+00  1.292e-01    16.911  < 2e-16 ***
ori_grid2990    2.100e+00  1.335e-01    15.729  < 2e-16 ***
ori_grid3015    3.594e+00  1.294e-01    27.779  < 2e-16 ***
ori_grid3016    3.198e+00  1.290e-01    24.798  < 2e-16 ***
ori_grid3017    9.266e-01  1.328e-01     6.977 3.01e-12 ***
ori_grid3040    4.029e+00  1.283e-01    31.403  < 2e-16 ***
ori_grid3043    2.179e+00  1.292e-01    16.866  < 2e-16 ***
ori_grid3044    2.340e+00  1.293e-01    18.096  < 2e-16 ***
ori_grid3068    2.428e+00  1.294e-01    18.764  < 2e-16 ***
ori_grid3070    6.996e-01  1.447e-01     4.834 1.34e-06 ***
ori_grid3072    1.762e+00  1.370e-01    12.864  < 2e-16 ***
ori_grid3092    4.377e+00  1.291e-01    33.917  < 2e-16 ***
ori_grid3098    3.678e+00  1.283e-01    28.661  < 2e-16 ***
ori_grid3123    4.723e+00  1.282e-01    36.851  < 2e-16 ***
ori_grid3126   -2.193e+00  2.964e-01    -7.400 1.37e-13 ***
ori_grid3151    2.776e+00  1.288e-01    21.550  < 2e-16 ***
ori_grid3152   -1.020e+00  1.719e-01    -5.933 2.98e-09 ***
ori_grid3173    4.017e+00  1.294e-01    31.043  < 2e-16 ***
ori_grid3178    2.428e+00  1.296e-01    18.740  < 2e-16 ***
ori_grid3179    2.112e+00  1.299e-01    16.258  < 2e-16 ***
ori_grid3205    1.878e+00  1.317e-01    14.254  < 2e-16 ***
ori_grid3206    3.698e+00  1.284e-01    28.792  < 2e-16 ***
ori_grid3232    1.894e+00  1.352e-01    14.003  < 2e-16 ***
ori_grid3233    1.156e+00  1.408e-01     8.204 2.32e-16 ***
ori_grid3308    3.568e+00  1.342e-01    26.586  < 2e-16 ***
desti_grid146   1.223e+00  5.528e-02    22.115  < 2e-16 ***
desti_grid174  -2.948e-01  5.837e-02    -5.051 4.40e-07 ***
desti_grid175  -8.415e-03  5.456e-02    -0.154 0.877429    
desti_grid200   3.129e-01  6.106e-02     5.125 2.98e-07 ***
desti_grid201   1.585e-01  5.301e-02     2.990 0.002787 ** 
desti_grid202  -6.462e-01  5.649e-02   -11.440  < 2e-16 ***
desti_grid203  -3.522e-01  5.480e-02    -6.428 1.29e-10 ***
desti_grid227  -1.576e+00  6.618e-02   -23.809  < 2e-16 ***
desti_grid228  -7.290e-01  5.371e-02   -13.573  < 2e-16 ***
desti_grid229  -3.646e+00  1.127e-01   -32.353  < 2e-16 ***
desti_grid230   3.303e-01  5.220e-02     6.328 2.48e-10 ***
desti_grid231  -2.407e+00  6.026e-02   -39.942  < 2e-16 ***
desti_grid254   1.460e+00  5.383e-02    27.124  < 2e-16 ***
desti_grid255  -5.795e-01  5.448e-02   -10.638  < 2e-16 ***
desti_grid256   3.037e-01  5.251e-02     5.784 7.31e-09 ***
desti_grid257  -1.490e+00  5.514e-02   -27.017  < 2e-16 ***
desti_grid258  -1.013e+00  5.508e-02   -18.384  < 2e-16 ***
desti_grid259  -1.133e+00  5.300e-02   -21.370  < 2e-16 ***
desti_grid281  -1.791e+00  6.808e-02   -26.313  < 2e-16 ***
desti_grid282  -1.478e+00  5.831e-02   -25.341  < 2e-16 ***
desti_grid284  -3.441e-02  5.173e-02    -0.665 0.505923    
desti_grid285  -7.375e-01  5.191e-02   -14.207  < 2e-16 ***
desti_grid286  -6.608e-01  5.178e-02   -12.760  < 2e-16 ***
desti_grid312  -5.488e-01  5.220e-02   -10.514  < 2e-16 ***
desti_grid313  -1.343e+00  5.638e-02   -23.828  < 2e-16 ***
desti_grid314  -1.088e+00  5.350e-02   -20.329  < 2e-16 ***
desti_grid336  -1.972e+00  6.584e-02   -29.951  < 2e-16 ***
desti_grid338  -1.799e+00  5.612e-02   -32.067  < 2e-16 ***
desti_grid339  -1.900e+00  5.337e-02   -35.610  < 2e-16 ***
desti_grid340  -5.324e+00  2.632e-01   -20.227  < 2e-16 ***
desti_grid366  -1.823e+00  5.312e-02   -34.323  < 2e-16 ***
desti_grid367  -9.863e-01  5.208e-02   -18.940  < 2e-16 ***
desti_grid391  -1.024e+00  5.880e-02   -17.419  < 2e-16 ***
desti_grid392  -1.696e+00  5.375e-02   -31.549  < 2e-16 ***
desti_grid393  -3.662e-01  5.160e-02    -7.098 1.27e-12 ***
desti_grid394  -3.123e+00  9.364e-02   -33.351  < 2e-16 ***
desti_grid419  -3.149e-01  5.406e-02    -5.826 5.69e-09 ***
desti_grid420  -1.108e+00  5.315e-02   -20.843  < 2e-16 ***
desti_grid421  -1.525e+00  5.605e-02   -27.207  < 2e-16 ***
desti_grid445   4.081e-01  5.258e-02     7.762 8.38e-15 ***
desti_grid446  -2.365e+00  5.468e-02   -43.253  < 2e-16 ***
desti_grid447  -1.775e+00  5.380e-02   -32.983  < 2e-16 ***
desti_grid472  -1.388e+00  6.041e-02   -22.983  < 2e-16 ***
desti_grid473  -6.211e-01  5.246e-02   -11.838  < 2e-16 ***
desti_grid474  -1.243e+00  5.343e-02   -23.263  < 2e-16 ***
desti_grid499   1.555e-01  5.265e-02     2.953 0.003150 ** 
desti_grid500  -1.704e+00  5.311e-02   -32.088  < 2e-16 ***
desti_grid526   8.172e-01  5.211e-02    15.681  < 2e-16 ***
desti_grid527  -7.507e-01  5.348e-02   -14.036  < 2e-16 ***
desti_grid528  -5.709e-02  5.167e-02    -1.105 0.269221    
desti_grid552  -2.476e-01  5.466e-02    -4.530 5.90e-06 ***
desti_grid553  -3.599e+00  7.809e-02   -46.090  < 2e-16 ***
desti_grid554  -2.177e-01  5.216e-02    -4.174 3.00e-05 ***
desti_grid555  -6.410e-01  5.194e-02   -12.341  < 2e-16 ***
desti_grid581   5.299e-02  5.168e-02     1.025 0.305203    
desti_grid582  -1.606e+00  5.243e-02   -30.638  < 2e-16 ***
desti_grid607  -7.218e-01  5.409e-02   -13.344  < 2e-16 ***
desti_grid608  -5.831e-01  5.252e-02   -11.102  < 2e-16 ***
desti_grid609  -4.425e-01  5.129e-02    -8.628  < 2e-16 ***
desti_grid610  -4.016e-01  5.179e-02    -7.755 8.86e-15 ***
desti_grid611  -2.320e+00  5.795e-02   -40.044  < 2e-16 ***
desti_grid634   6.130e-02  5.304e-02     1.156 0.247796    
desti_grid635   8.875e-02  5.214e-02     1.702 0.088707 .  
desti_grid636  -1.759e+00  5.228e-02   -33.649  < 2e-16 ***
desti_grid638   5.916e-01  5.132e-02    11.528  < 2e-16 ***
desti_grid661  -1.074e+00  5.542e-02   -19.389  < 2e-16 ***
desti_grid662  -3.001e-01  5.240e-02    -5.726 1.03e-08 ***
desti_grid663  -1.880e+00  5.199e-02   -36.158  < 2e-16 ***
desti_grid664  -9.180e-01  5.191e-02   -17.684  < 2e-16 ***
desti_grid665  -1.551e+00  5.239e-02   -29.604  < 2e-16 ***
desti_grid689  -1.553e+00  5.378e-02   -28.884  < 2e-16 ***
desti_grid690  -1.425e+00  5.198e-02   -27.420  < 2e-16 ***
desti_grid692  -1.833e+00  5.278e-02   -34.729  < 2e-16 ***
desti_grid693  -2.462e+00  5.694e-02   -43.243  < 2e-16 ***
desti_grid715  -1.288e+00  5.559e-02   -23.160  < 2e-16 ***
desti_grid716  -1.718e+00  5.362e-02   -32.045  < 2e-16 ***
desti_grid717  -2.179e+00  5.221e-02   -41.728  < 2e-16 ***
desti_grid718  -6.736e-01  5.134e-02   -13.119  < 2e-16 ***
desti_grid719  -2.169e+00  5.461e-02   -39.714  < 2e-16 ***
desti_grid720  -4.146e+00  7.285e-02   -56.908  < 2e-16 ***
desti_grid743   1.734e-01  5.188e-02     3.342 0.000832 ***
desti_grid744  -1.315e+00  5.187e-02   -25.345  < 2e-16 ***
desti_grid745  -1.971e+00  5.174e-02   -38.092  < 2e-16 ***
desti_grid746  -1.964e+00  5.185e-02   -37.882  < 2e-16 ***
desti_grid747  -4.796e-01  5.164e-02    -9.288  < 2e-16 ***
desti_grid748  -2.230e+00  5.475e-02   -40.721  < 2e-16 ***
desti_grid769  -9.290e-01  5.366e-02   -17.312  < 2e-16 ***
desti_grid770   4.532e-01  5.155e-02     8.791  < 2e-16 ***
desti_grid771  -1.367e+00  5.159e-02   -26.497  < 2e-16 ***
desti_grid772  -7.109e-02  5.121e-02    -1.388 0.165106    
desti_grid773  -2.633e+00  5.291e-02   -49.773  < 2e-16 ***
desti_grid774  -1.456e+00  5.253e-02   -27.716  < 2e-16 ***
desti_grid775  -1.891e+00  5.341e-02   -35.397  < 2e-16 ***
desti_grid776  -4.562e+00  1.791e-01   -25.478  < 2e-16 ***
desti_grid777  -2.976e+00  6.671e-02   -44.608  < 2e-16 ***
desti_grid797  -1.302e+00  5.393e-02   -24.133  < 2e-16 ***
desti_grid798  -3.277e+00  6.909e-02   -47.434  < 2e-16 ***
desti_grid799  -4.944e-01  5.127e-02    -9.643  < 2e-16 ***
desti_grid800  -1.305e+00  5.142e-02   -25.381  < 2e-16 ***
desti_grid802  -5.172e+00  8.925e-02   -57.951  < 2e-16 ***
desti_grid803  -2.879e+00  6.084e-02   -47.324  < 2e-16 ***
desti_grid805  -3.135e+00  7.366e-02   -42.557  < 2e-16 ***
desti_grid806  -5.292e-01  5.364e-02    -9.866  < 2e-16 ***
desti_grid823  -6.918e-01  5.416e-02   -12.774  < 2e-16 ***
desti_grid824  -2.950e-01  5.237e-02    -5.634 1.76e-08 ***
desti_grid825  -1.301e+00  5.225e-02   -24.902  < 2e-16 ***
desti_grid826   7.940e-01  5.116e-02    15.518  < 2e-16 ***
desti_grid827  -8.544e-01  5.135e-02   -16.639  < 2e-16 ***
desti_grid832  -4.861e+00  2.065e-01   -23.539  < 2e-16 ***
desti_grid833  -2.658e+00  7.177e-02   -37.038  < 2e-16 ***
desti_grid851  -1.278e+00  5.514e-02   -23.179  < 2e-16 ***
desti_grid852  -1.648e-01  5.197e-02    -3.171 0.001520 ** 
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desti_grid905  -1.775e+00  5.401e-02   -32.868  < 2e-16 ***
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desti_grid907  -7.821e-01  5.154e-02   -15.175  < 2e-16 ***
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desti_grid910  -1.645e+00  5.270e-02   -31.221  < 2e-16 ***
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desti_grid933  -1.886e+00  5.239e-02   -35.999  < 2e-16 ***
desti_grid934  -1.177e+00  5.144e-02   -22.879  < 2e-16 ***
desti_grid935  -1.078e+00  5.137e-02   -20.980  < 2e-16 ***
desti_grid937  -1.671e+00  5.214e-02   -32.047  < 2e-16 ***
desti_grid959   1.969e-02  5.145e-02     0.383 0.701871    
desti_grid960  -9.877e-01  5.151e-02   -19.176  < 2e-16 ***
desti_grid961  -1.351e+00  5.154e-02   -26.223  < 2e-16 ***
desti_grid962   8.501e-01  5.120e-02    16.606  < 2e-16 ***
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desti_grid1016 -1.580e+00  5.146e-02   -30.696  < 2e-16 ***
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desti_grid1045 -3.915e+00  5.737e-02   -68.239  < 2e-16 ***
desti_grid1067 -4.202e-02  5.150e-02    -0.816 0.414548    
desti_grid1068 -3.009e+00  6.050e-02   -49.732  < 2e-16 ***
desti_grid1069 -3.344e+00  5.418e-02   -61.724  < 2e-16 ***
desti_grid1070 -8.756e-01  5.131e-02   -17.064  < 2e-16 ***
desti_grid1078 -2.816e+00  6.372e-02   -44.191  < 2e-16 ***
desti_grid1093 -7.132e-01  5.227e-02   -13.645  < 2e-16 ***
desti_grid1094 -2.069e+00  5.298e-02   -39.047  < 2e-16 ***
desti_grid1095 -3.668e+00  5.616e-02   -65.317  < 2e-16 ***
desti_grid1096 -1.368e+00  5.143e-02   -26.603  < 2e-16 ***
desti_grid1097 -1.361e+00  5.152e-02   -26.424  < 2e-16 ***
desti_grid1099 -1.516e+00  5.149e-02   -29.450  < 2e-16 ***
desti_grid1100 -4.113e+00  6.890e-02   -59.692  < 2e-16 ***
desti_grid1122 -1.289e+00  5.170e-02   -24.937  < 2e-16 ***
desti_grid1123  3.110e-01  5.121e-02     6.073 1.26e-09 ***
desti_grid1124 -9.605e-01  5.135e-02   -18.705  < 2e-16 ***
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desti_grid1127 -1.915e+00  5.155e-02   -37.141  < 2e-16 ***
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desti_grid1147 -3.121e+00  6.079e-02   -51.344  < 2e-16 ***
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desti_grid1149 -1.852e+00  5.187e-02   -35.711  < 2e-16 ***
desti_grid1150 -9.839e-01  5.136e-02   -19.158  < 2e-16 ***
desti_grid1151 -1.461e+00  5.143e-02   -28.414  < 2e-16 ***
desti_grid1152 -1.882e+00  5.163e-02   -36.446  < 2e-16 ***
desti_grid1153 -1.822e+00  5.158e-02   -35.317  < 2e-16 ***
desti_grid1154 -4.073e-02  5.123e-02    -0.795 0.426644    
desti_grid1155 -4.446e+00  6.252e-02   -71.109  < 2e-16 ***
desti_grid1158 -2.911e+00  5.917e-02   -49.198  < 2e-16 ***
desti_grid1174 -8.573e-01  5.240e-02   -16.360  < 2e-16 ***
desti_grid1175  2.599e-01  5.174e-02     5.022 5.10e-07 ***
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desti_grid1182 -1.621e+00  5.162e-02   -31.411  < 2e-16 ***
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desti_grid1203 -2.746e-01  5.135e-02    -5.348 8.89e-08 ***
desti_grid1205  1.007e-01  5.122e-02     1.965 0.049360 *  
desti_grid1206 -1.177e+00  5.139e-02   -22.901  < 2e-16 ***
desti_grid1207 -1.469e+00  5.138e-02   -28.584  < 2e-16 ***
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desti_grid1211 -2.101e+00  5.385e-02   -39.013  < 2e-16 ***
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desti_grid1231  3.015e-01  5.142e-02     5.864 4.52e-09 ***
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desti_grid1233  1.527e-01  5.130e-02     2.977 0.002915 ** 
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desti_grid1239 -1.890e+00  5.342e-02   -35.384  < 2e-16 ***
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desti_grid1258 -1.645e-01  5.134e-02    -3.205 0.001351 ** 
desti_grid1259 -1.498e+00  5.157e-02   -29.042  < 2e-16 ***
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desti_grid1265 -3.829e+00  5.727e-02   -66.854  < 2e-16 ***
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desti_grid1282 -1.473e+00  5.265e-02   -27.975  < 2e-16 ***
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desti_grid1284 -1.630e+00  5.183e-02   -31.448  < 2e-16 ***
desti_grid1285 -6.656e-01  5.147e-02   -12.930  < 2e-16 ***
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desti_grid1287 -1.668e+00  5.187e-02   -32.166  < 2e-16 ***
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desti_grid1308 -1.897e+00  5.320e-02   -35.653  < 2e-16 ***
desti_grid1309  1.204e-01  5.136e-02     2.344 0.019081 *  
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desti_grid1311 -5.379e-01  5.170e-02   -10.404  < 2e-16 ***
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desti_grid1337 -5.520e-01  5.137e-02   -10.745  < 2e-16 ***
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desti_grid1374 -1.639e+00  5.156e-02   -31.792  < 2e-16 ***
desti_grid1375  7.914e-02  5.131e-02     1.542 0.122969    
desti_grid1389 -1.378e-01  5.155e-02    -2.674 0.007494 ** 
desti_grid1390 -2.464e-03  5.170e-02    -0.048 0.961993    
desti_grid1391 -6.361e-01  5.157e-02   -12.336  < 2e-16 ***
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desti_grid1401 -2.764e-01  5.130e-02    -5.389 7.10e-08 ***
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desti_grid1419  7.636e-01  5.126e-02    14.898  < 2e-16 ***
desti_grid1420  3.330e-01  5.126e-02     6.496 8.23e-11 ***
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desti_grid1444  3.350e-02  5.152e-02     0.650 0.515525    
desti_grid1445  1.576e-01  5.138e-02     3.068 0.002155 ** 
desti_grid1446 -2.225e+00  5.351e-02   -41.590  < 2e-16 ***
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desti_grid1471  1.354e-02  5.140e-02     0.263 0.792195    
desti_grid1472 -1.086e+00  5.196e-02   -20.905  < 2e-16 ***
desti_grid1480 -3.833e+00  6.669e-02   -57.483  < 2e-16 ***
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desti_grid1525  4.052e-01  5.131e-02     7.897 2.85e-15 ***
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desti_grid1565 -2.292e-01  5.145e-02    -4.454 8.43e-06 ***
desti_grid1576  1.562e-01  5.189e-02     3.011 0.002605 ** 
desti_grid1578 -1.827e+00  5.266e-02   -34.693  < 2e-16 ***
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desti_grid1592 -1.285e+00  5.194e-02   -24.743  < 2e-16 ***
desti_grid1604  1.168e+00  5.127e-02    22.780  < 2e-16 ***
desti_grid1605  9.111e-02  5.139e-02     1.773 0.076274 .  
desti_grid1606 -2.398e-01  5.144e-02    -4.661 3.14e-06 ***
desti_grid1607 -1.252e+00  5.195e-02   -24.091  < 2e-16 ***
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desti_grid1617 -1.989e+00  5.253e-02   -37.870  < 2e-16 ***
desti_grid1618  5.058e-01  5.127e-02     9.866  < 2e-16 ***
desti_grid1619 -1.101e+00  5.157e-02   -21.340  < 2e-16 ***
desti_grid1620 -8.867e-01  5.180e-02   -17.117  < 2e-16 ***
desti_grid1630 -2.008e+00  5.396e-02   -37.218  < 2e-16 ***
desti_grid1631 -3.818e-01  5.156e-02    -7.404 1.32e-13 ***
desti_grid1632 -2.509e-01  5.156e-02    -4.866 1.14e-06 ***
desti_grid1633 -2.105e+00  5.347e-02   -39.363  < 2e-16 ***
desti_grid1634 -2.648e-01  5.156e-02    -5.136 2.80e-07 ***
desti_grid1635  4.860e-01  5.134e-02     9.465  < 2e-16 ***
desti_grid1642 -2.171e+00  6.483e-02   -33.483  < 2e-16 ***
desti_grid1644 -1.139e+00  5.155e-02   -22.096  < 2e-16 ***
desti_grid1645 -1.064e+00  5.147e-02   -20.667  < 2e-16 ***
desti_grid1646 -7.758e-01  5.154e-02   -15.051  < 2e-16 ***
desti_grid1647 -2.219e+00  5.845e-02   -37.954  < 2e-16 ***
desti_grid1658 -2.924e-01  5.192e-02    -5.632 1.78e-08 ***
desti_grid1659  5.133e-01  5.133e-02     9.999  < 2e-16 ***
desti_grid1660 -4.930e-01  5.238e-02    -9.414  < 2e-16 ***
desti_grid1661 -2.411e+00  5.473e-02   -44.049  < 2e-16 ***
desti_grid1662 -6.086e-01  5.168e-02   -11.777  < 2e-16 ***
desti_grid1669 -4.531e+00  1.309e-01   -34.615  < 2e-16 ***
desti_grid1670 -2.239e+00  5.604e-02   -39.942  < 2e-16 ***
desti_grid1672 -1.324e+00  5.206e-02   -25.421  < 2e-16 ***
desti_grid1673 -1.809e-01  5.149e-02    -3.513 0.000442 ***
desti_grid1674 -9.117e-01  5.166e-02   -17.648  < 2e-16 ***
desti_grid1684  6.447e-02  5.148e-02     1.252 0.210449    
desti_grid1685 -9.525e-02  5.167e-02    -1.844 0.065247 .  
desti_grid1686 -1.147e-01  5.147e-02    -2.228 0.025899 *  
desti_grid1687 -9.457e-01  5.195e-02   -18.204  < 2e-16 ***
desti_grid1688 -1.109e+00  5.210e-02   -21.281  < 2e-16 ***
desti_grid1689 -2.157e+00  5.596e-02   -38.547  < 2e-16 ***
desti_grid1695 -3.618e+00  8.164e-02   -44.315  < 2e-16 ***
desti_grid1699 -1.133e+00  5.151e-02   -21.991  < 2e-16 ***
desti_grid1700 -2.183e+00  5.289e-02   -41.275  < 2e-16 ***
desti_grid1701 -1.832e-01  5.192e-02    -3.528 0.000419 ***
desti_grid1712 -1.297e+00  5.251e-02   -24.700  < 2e-16 ***
desti_grid1713  8.769e-01  5.128e-02    17.101  < 2e-16 ***
desti_grid1714 -8.046e-01  5.233e-02   -15.375  < 2e-16 ***
desti_grid1716 -2.636e-01  5.150e-02    -5.118 3.08e-07 ***
desti_grid1723 -3.610e+00  8.236e-02   -43.831  < 2e-16 ***
desti_grid1726 -2.260e+00  5.294e-02   -42.698  < 2e-16 ***
desti_grid1727 -1.135e+00  5.159e-02   -22.003  < 2e-16 ***
desti_grid1728 -6.159e-01  5.146e-02   -11.969  < 2e-16 ***
desti_grid1738 -1.329e-01  5.152e-02    -2.579 0.009909 ** 
desti_grid1739  1.175e+00  5.125e-02    22.927  < 2e-16 ***
desti_grid1740 -5.454e-01  5.175e-02   -10.540  < 2e-16 ***
desti_grid1741 -4.012e-01  5.165e-02    -7.768 7.98e-15 ***
desti_grid1743 -1.947e+00  5.751e-02   -33.848  < 2e-16 ***
desti_grid1744 -3.374e+00  1.007e-01   -33.499  < 2e-16 ***
desti_grid1748 -5.603e+00  1.142e-01   -49.067  < 2e-16 ***
desti_grid1749 -1.240e+00  5.183e-02   -23.936  < 2e-16 ***
desti_grid1753  1.255e-01  5.129e-02     2.447 0.014420 *  
desti_grid1754 -1.660e+00  5.176e-02   -32.077  < 2e-16 ***
desti_grid1765  1.095e+00  5.131e-02    21.334  < 2e-16 ***
desti_grid1766  3.611e-01  5.142e-02     7.023 2.17e-12 ***
desti_grid1767  1.870e-01  5.139e-02     3.639 0.000274 ***
desti_grid1768 -2.110e+00  5.562e-02   -37.942  < 2e-16 ***
desti_grid1770 -1.491e+00  5.272e-02   -28.283  < 2e-16 ***
desti_grid1771 -3.157e+00  6.106e-02   -51.700  < 2e-16 ***
desti_grid1776 -5.861e+00  1.111e-01   -52.776  < 2e-16 ***
desti_grid1777 -1.181e+00  5.167e-02   -22.864  < 2e-16 ***
desti_grid1778 -3.016e+00  5.341e-02   -56.463  < 2e-16 ***
desti_grid1780 -1.938e+00  5.344e-02   -36.262  < 2e-16 ***
desti_grid1781 -8.121e-01  5.147e-02   -15.778  < 2e-16 ***
desti_grid1791 -4.568e-01  5.369e-02    -8.509  < 2e-16 ***
desti_grid1792 -5.533e-01  5.174e-02   -10.694  < 2e-16 ***
desti_grid1793  5.953e-01  5.132e-02    11.600  < 2e-16 ***
desti_grid1794 -1.376e-01  5.148e-02    -2.673 0.007509 ** 
desti_grid1795 -2.874e-01  5.156e-02    -5.575 2.48e-08 ***
desti_grid1796  1.338e-01  5.151e-02     2.598 0.009386 ** 
desti_grid1798 -5.450e+00  1.491e-01   -36.552  < 2e-16 ***
desti_grid1800 -1.181e+00  5.522e-02   -21.385  < 2e-16 ***
desti_grid1802 -3.075e+00  5.573e-02   -55.171  < 2e-16 ***
desti_grid1804 -4.709e+00  6.367e-02   -73.960  < 2e-16 ***
desti_grid1805 -2.818e+00  5.264e-02   -53.527  < 2e-16 ***
desti_grid1806 -1.969e+00  5.181e-02   -38.008  < 2e-16 ***
desti_grid1807 -2.416e+00  5.204e-02   -46.423  < 2e-16 ***
desti_grid1808 -2.156e+00  5.369e-02   -40.159  < 2e-16 ***
desti_grid1820 -1.390e-01  5.152e-02    -2.698 0.006966 ** 
desti_grid1821  9.565e-01  5.128e-02    18.652  < 2e-16 ***
desti_grid1822 -9.791e-01  5.205e-02   -18.810  < 2e-16 ***
desti_grid1823 -4.228e-01  5.188e-02    -8.149 3.67e-16 ***
desti_grid1824  1.770e-01  5.138e-02     3.445 0.000572 ***
desti_grid1827 -1.438e+00  5.214e-02   -27.576  < 2e-16 ***
desti_grid1828 -1.093e+00  5.196e-02   -21.029  < 2e-16 ***
desti_grid1829 -3.231e-01  5.148e-02    -6.276 3.47e-10 ***
desti_grid1831 -2.793e+00  5.427e-02   -51.466  < 2e-16 ***
desti_grid1833 -5.601e-01  5.133e-02   -10.913  < 2e-16 ***
desti_grid1834 -6.172e-01  5.136e-02   -12.015  < 2e-16 ***
desti_grid1835 -2.406e+00  5.241e-02   -45.914  < 2e-16 ***
desti_grid1846 -2.272e+00  5.770e-02   -39.374  < 2e-16 ***
desti_grid1847 -1.355e+00  5.423e-02   -24.986  < 2e-16 ***
desti_grid1848 -4.522e-01  5.156e-02    -8.769  < 2e-16 ***
desti_grid1849  1.242e+00  5.124e-02    24.229  < 2e-16 ***
desti_grid1850 -7.185e-02  5.185e-02    -1.386 0.165783    
desti_grid1852 -3.378e+00  6.071e-02   -55.647  < 2e-16 ***
desti_grid1853 -3.139e-01  5.150e-02    -6.095 1.09e-09 ***
desti_grid1854 -9.191e-01  5.169e-02   -17.782  < 2e-16 ***
desti_grid1855 -2.606e+00  5.377e-02   -48.472  < 2e-16 ***
desti_grid1856 -5.110e+00  1.592e-01   -32.093  < 2e-16 ***
desti_grid1857 -3.966e+00  6.805e-02   -58.276  < 2e-16 ***
desti_grid1858 -2.664e+00  5.243e-02   -50.815  < 2e-16 ***
desti_grid1859 -1.793e+00  5.166e-02   -34.704  < 2e-16 ***
desti_grid1860 -1.456e+00  5.151e-02   -28.276  < 2e-16 ***
desti_grid1861 -2.058e+00  5.212e-02   -39.479  < 2e-16 ***
desti_grid1862 -2.628e+00  5.514e-02   -47.654  < 2e-16 ***
desti_grid1874  1.857e-01  5.142e-02     3.612 0.000304 ***
desti_grid1875  3.398e-01  5.137e-02     6.614 3.73e-11 ***
desti_grid1876 -8.442e-01  5.219e-02   -16.176  < 2e-16 ***
desti_grid1877 -3.915e-01  5.165e-02    -7.579 3.48e-14 ***
desti_grid1878 -4.827e-01  5.162e-02    -9.352  < 2e-16 ***
desti_grid1879 -1.557e+00  5.228e-02   -29.786  < 2e-16 ***
desti_grid1882 -2.643e-01  5.142e-02    -5.140 2.74e-07 ***
desti_grid1883 -1.457e+00  5.185e-02   -28.103  < 2e-16 ***
desti_grid1884 -2.396e+00  5.452e-02   -43.950  < 2e-16 ***
desti_grid1886  5.684e-01  5.125e-02    11.090  < 2e-16 ***
desti_grid1887  6.377e-01  5.125e-02    12.442  < 2e-16 ***
desti_grid1888 -2.116e+00  5.187e-02   -40.794  < 2e-16 ***
desti_grid1889 -5.209e+00  1.022e-01   -50.955  < 2e-16 ***
desti_grid1890 -2.882e+00  6.284e-02   -45.854  < 2e-16 ***
desti_grid1900 -5.125e-01  5.209e-02    -9.840  < 2e-16 ***
desti_grid1901  5.156e-01  5.134e-02    10.043  < 2e-16 ***
desti_grid1902 -3.536e-01  5.168e-02    -6.842 7.79e-12 ***
desti_grid1903 -6.441e-02  5.170e-02    -1.246 0.212850    
desti_grid1904  1.249e-01  5.159e-02     2.422 0.015438 *  
desti_grid1905 -8.528e-01  5.164e-02   -16.513  < 2e-16 ***
desti_grid1906 -7.122e-01  5.153e-02   -13.822  < 2e-16 ***
desti_grid1907 -4.949e-01  5.148e-02    -9.614  < 2e-16 ***
desti_grid1908 -9.213e-01  5.178e-02   -17.794  < 2e-16 ***
desti_grid1909 -7.342e-01  5.151e-02   -14.254  < 2e-16 ***
desti_grid1910 -1.868e+00  5.236e-02   -35.683  < 2e-16 ***
desti_grid1912 -4.596e+00  6.223e-02   -73.856  < 2e-16 ***
desti_grid1913 -1.265e+00  5.142e-02   -24.611  < 2e-16 ***
desti_grid1914 -1.132e+00  5.140e-02   -22.016  < 2e-16 ***
desti_grid1916 -2.783e+00  5.833e-02   -47.715  < 2e-16 ***
desti_grid1928  1.611e-01  5.150e-02     3.129 0.001756 ** 
desti_grid1929  4.765e-02  5.147e-02     0.926 0.354537    
desti_grid1930  8.901e-02  5.139e-02     1.732 0.083258 .  
desti_grid1931 -6.928e-01  5.172e-02   -13.394  < 2e-16 ***
desti_grid1932 -4.594e-03  5.140e-02    -0.089 0.928781    
desti_grid1933  3.654e-01  5.149e-02     7.097 1.27e-12 ***
desti_grid1934 -1.321e+00  5.179e-02   -25.512  < 2e-16 ***
desti_grid1935 -7.739e-01  5.154e-02   -15.017  < 2e-16 ***
desti_grid1936 -6.272e-01  5.153e-02   -12.172  < 2e-16 ***
desti_grid1937 -3.666e-01  5.140e-02    -7.132 9.86e-13 ***
desti_grid1938 -3.119e+00  6.866e-02   -45.426  < 2e-16 ***
desti_grid1940 -1.712e+00  5.159e-02   -33.175  < 2e-16 ***
desti_grid1941 -2.406e+00  5.198e-02   -46.278  < 2e-16 ***
desti_grid1942 -1.476e+00  5.185e-02   -28.463  < 2e-16 ***
desti_grid1954 -4.743e-01  5.266e-02    -9.006  < 2e-16 ***
desti_grid1955  7.915e-01  5.132e-02    15.423  < 2e-16 ***
desti_grid1956 -2.619e-01  5.157e-02    -5.078 3.81e-07 ***
desti_grid1958  2.225e-01  5.137e-02     4.332 1.48e-05 ***
desti_grid1959  1.899e-01  5.132e-02     3.700 0.000216 ***
desti_grid1960  5.703e-01  5.139e-02    11.098  < 2e-16 ***
desti_grid1961  8.250e-01  5.126e-02    16.096  < 2e-16 ***
desti_grid1962 -7.878e-01  5.147e-02   -15.307  < 2e-16 ***
desti_grid1963 -1.088e+00  5.149e-02   -21.128  < 2e-16 ***
desti_grid1964 -3.467e-01  5.139e-02    -6.746 1.52e-11 ***
desti_grid1967 -1.254e+00  5.147e-02   -24.372  < 2e-16 ***
desti_grid1968 -1.587e+00  5.161e-02   -30.754  < 2e-16 ***
desti_grid1982  1.423e+00  5.127e-02    27.750  < 2e-16 ***
desti_grid1983  6.260e-01  5.132e-02    12.196  < 2e-16 ***
desti_grid1984  7.834e-01  5.128e-02    15.276  < 2e-16 ***
desti_grid1985  9.542e-02  5.142e-02     1.856 0.063479 .  
desti_grid1986 -6.422e-01  5.173e-02   -12.414  < 2e-16 ***
desti_grid1987  1.085e+00  5.123e-02    21.187  < 2e-16 ***
desti_grid1988 -8.474e-01  5.147e-02   -16.465  < 2e-16 ***
desti_grid1989 -1.088e+00  5.153e-02   -21.105  < 2e-16 ***
desti_grid1990  1.024e+00  5.123e-02    19.989  < 2e-16 ***
desti_grid1991 -2.976e-01  5.135e-02    -5.796 6.79e-09 ***
desti_grid1992 -2.579e-02  5.141e-02    -0.502 0.615937    
desti_grid1994 -3.667e+00  5.470e-02   -67.048  < 2e-16 ***
desti_grid1995 -1.897e+00  5.175e-02   -36.653  < 2e-16 ***
desti_grid2009  1.433e+00  5.126e-02    27.958  < 2e-16 ***
desti_grid2010  6.613e-01  5.130e-02    12.892  < 2e-16 ***
desti_grid2011  4.364e-01  5.132e-02     8.503  < 2e-16 ***
desti_grid2012 -3.703e-01  5.159e-02    -7.178 7.08e-13 ***
desti_grid2013 -4.187e-01  5.140e-02    -8.146 3.75e-16 ***
desti_grid2014 -3.300e-01  5.136e-02    -6.426 1.31e-10 ***
desti_grid2015 -2.569e-01  5.138e-02    -5.000 5.74e-07 ***
desti_grid2016 -8.234e-01  5.148e-02   -15.995  < 2e-16 ***
desti_grid2017 -5.542e-01  5.141e-02   -10.780  < 2e-16 ***
desti_grid2021 -2.931e+00  5.263e-02   -55.692  < 2e-16 ***
desti_grid2036 -1.813e+00  5.878e-02   -30.853  < 2e-16 ***
desti_grid2037 -7.947e-01  5.203e-02   -15.274  < 2e-16 ***
desti_grid2038  9.651e-01  5.127e-02    18.825  < 2e-16 ***
desti_grid2039 -5.233e-01  5.160e-02   -10.142  < 2e-16 ***
desti_grid2040 -3.573e-01  5.148e-02    -6.941 3.88e-12 ***
desti_grid2041  4.118e-02  5.149e-02     0.800 0.423773    
desti_grid2042 -6.132e-01  5.164e-02   -11.874  < 2e-16 ***
desti_grid2043 -6.580e-01  5.142e-02   -12.797  < 2e-16 ***
desti_grid2044 -7.206e-01  5.143e-02   -14.013  < 2e-16 ***
desti_grid2046 -1.848e+00  5.235e-02   -35.295  < 2e-16 ***
desti_grid2049 -4.121e+00  5.634e-02   -73.153  < 2e-16 ***
desti_grid2063  6.665e-02  5.202e-02     1.281 0.200117    
desti_grid2064  4.848e-01  5.136e-02     9.439  < 2e-16 ***
desti_grid2065 -2.829e-01  5.145e-02    -5.499 3.82e-08 ***
desti_grid2066 -4.720e-01  5.146e-02    -9.174  < 2e-16 ***
desti_grid2067 -6.994e-01  5.145e-02   -13.594  < 2e-16 ***
desti_grid2068 -4.920e-01  5.141e-02    -9.570  < 2e-16 ***
desti_grid2069 -2.556e+00  5.298e-02   -48.256  < 2e-16 ***
desti_grid2070 -4.376e-01  5.146e-02    -8.503  < 2e-16 ***
desti_grid2071  3.881e-01  5.129e-02     7.568 3.80e-14 ***
desti_grid2072 -3.815e+00  6.468e-02   -58.993  < 2e-16 ***
desti_grid2074 -3.939e+00  5.922e-02   -66.510  < 2e-16 ***
desti_grid2089 -5.440e-01  7.772e-02    -6.999 2.57e-12 ***
desti_grid2090 -1.874e+00  1.122e-01   -16.706  < 2e-16 ***
desti_grid2091 -1.493e+00  5.442e-02   -27.429  < 2e-16 ***
desti_grid2092 -8.694e-02  5.149e-02    -1.689 0.091303 .  
desti_grid2093  4.064e-01  5.131e-02     7.920 2.37e-15 ***
desti_grid2094 -5.011e-02  5.141e-02    -0.975 0.329756    
desti_grid2095  8.996e-02  5.158e-02     1.744 0.081138 .  
desti_grid2096 -1.642e+00  5.196e-02   -31.597  < 2e-16 ***
desti_grid2097 -1.258e+00  5.555e-02   -22.649  < 2e-16 ***
desti_grid2098 -1.032e+00  5.160e-02   -20.010  < 2e-16 ***
desti_grid2100 -3.511e+00  6.611e-02   -53.099  < 2e-16 ***
desti_grid2101 -2.570e+00  5.382e-02   -47.741  < 2e-16 ***
desti_grid2102 -1.753e+00  5.206e-02   -33.667  < 2e-16 ***
desti_grid2116 -1.766e+00  1.095e-01   -16.124  < 2e-16 ***
desti_grid2117 -1.879e+00  1.213e-01   -15.496  < 2e-16 ***
desti_grid2119 -9.809e-02  5.142e-02    -1.908 0.056452 .  
desti_grid2120  4.709e-01  5.130e-02     9.180  < 2e-16 ***
desti_grid2121 -3.725e-01  5.147e-02    -7.237 4.58e-13 ***
desti_grid2122 -3.851e+00  7.073e-02   -54.442  < 2e-16 ***
desti_grid2123 -1.529e+00  5.175e-02   -29.542  < 2e-16 ***
desti_grid2124 -1.164e+00  5.179e-02   -22.479  < 2e-16 ***
desti_grid2125 -2.493e-01  5.136e-02    -4.855 1.21e-06 ***
desti_grid2126 -2.455e+00  5.295e-02   -46.367  < 2e-16 ***
desti_grid2129 -3.240e+00  5.565e-02   -58.234  < 2e-16 ***
desti_grid2146 -1.513e+00  5.460e-02   -27.708  < 2e-16 ***
desti_grid2147 -1.722e-01  5.137e-02    -3.352 0.000802 ***
desti_grid2148  1.724e-01  5.132e-02     3.360 0.000781 ***
desti_grid2149 -4.443e-01  5.147e-02    -8.632  < 2e-16 ***
desti_grid2150 -2.112e+00  5.260e-02   -40.145  < 2e-16 ***
desti_grid2151 -2.329e+00  5.263e-02   -44.244  < 2e-16 ***
desti_grid2152  1.377e-01  5.132e-02     2.683 0.007304 ** 
desti_grid2153 -1.117e+00  5.266e-02   -21.210  < 2e-16 ***
desti_grid2154 -2.038e+00  5.218e-02   -39.051  < 2e-16 ***
desti_grid2155 -2.008e+00  5.225e-02   -38.425  < 2e-16 ***
desti_grid2171 -2.430e+00  1.791e-01   -13.571  < 2e-16 ***
desti_grid2172 -1.550e+00  5.501e-02   -28.181  < 2e-16 ***
desti_grid2174 -1.643e+00  5.285e-02   -31.088  < 2e-16 ***
desti_grid2175  5.389e-01  5.128e-02    10.509  < 2e-16 ***
desti_grid2176 -4.779e-01  5.144e-02    -9.290  < 2e-16 ***
desti_grid2177  9.924e-01  5.123e-02    19.370  < 2e-16 ***
desti_grid2178 -2.261e+00  5.210e-02   -43.402  < 2e-16 ***
desti_grid2179 -5.653e-01  5.138e-02   -11.003  < 2e-16 ***
desti_grid2180 -1.492e+00  5.168e-02   -28.865  < 2e-16 ***
desti_grid2181 -5.953e-01  5.140e-02   -11.582  < 2e-16 ***
desti_grid2182 -1.982e+00  5.408e-02   -36.645  < 2e-16 ***
desti_grid2200 -2.635e-01  5.218e-02    -5.049 4.43e-07 ***
desti_grid2201 -2.751e-01  5.139e-02    -5.353 8.63e-08 ***
desti_grid2202  5.150e-01  5.146e-02    10.007  < 2e-16 ***
desti_grid2203 -2.898e-01  5.158e-02    -5.620 1.91e-08 ***
desti_grid2204 -1.019e-01  5.135e-02    -1.984 0.047299 *  
desti_grid2205 -1.286e+00  5.158e-02   -24.926  < 2e-16 ***
desti_grid2206 -3.650e-01  5.133e-02    -7.111 1.15e-12 ***
desti_grid2207 -1.604e+00  5.164e-02   -31.069  < 2e-16 ***
desti_grid2208 -1.262e+00  5.156e-02   -24.481  < 2e-16 ***
desti_grid2209 -3.415e+00  5.699e-02   -59.922  < 2e-16 ***
desti_grid2227 -9.807e-01  5.184e-02   -18.918  < 2e-16 ***
desti_grid2228 -4.577e-01  5.146e-02    -8.894  < 2e-16 ***
desti_grid2229  2.407e-02  5.134e-02     0.469 0.639132    
desti_grid2230 -4.340e-01  5.169e-02    -8.397  < 2e-16 ***
desti_grid2231 -1.068e+00  5.149e-02   -20.743  < 2e-16 ***
desti_grid2233 -4.404e-01  5.133e-02    -8.578  < 2e-16 ***
desti_grid2234 -5.713e+00  9.733e-02   -58.698  < 2e-16 ***
desti_grid2235 -3.934e+00  7.346e-02   -53.547  < 2e-16 ***
desti_grid2254 -3.031e-01  5.217e-02    -5.810 6.23e-09 ***
desti_grid2255 -7.179e-01  5.162e-02   -13.906  < 2e-16 ***
desti_grid2256 -6.798e-01  5.152e-02   -13.197  < 2e-16 ***
desti_grid2257 -9.457e-01  5.195e-02   -18.204  < 2e-16 ***
desti_grid2258 -1.692e+00  5.195e-02   -32.571  < 2e-16 ***
desti_grid2259 -1.884e+00  5.210e-02   -36.162  < 2e-16 ***
desti_grid2260 -9.628e-01  5.154e-02   -18.680  < 2e-16 ***
desti_grid2261 -9.154e-01  5.149e-02   -17.779  < 2e-16 ***
desti_grid2262 -2.150e+00  5.218e-02   -41.202  < 2e-16 ***
desti_grid2281 -6.127e-01  5.164e-02   -11.866  < 2e-16 ***
desti_grid2282  2.871e-01  5.132e-02     5.595 2.21e-08 ***
desti_grid2283 -6.320e-01  5.151e-02   -12.268  < 2e-16 ***
desti_grid2284 -7.098e-01  5.147e-02   -13.790  < 2e-16 ***
desti_grid2285 -5.391e-01  5.151e-02   -10.465  < 2e-16 ***
desti_grid2286 -1.387e+00  5.163e-02   -26.860  < 2e-16 ***
desti_grid2287 -2.159e-01  5.132e-02    -4.207 2.58e-05 ***
desti_grid2288 -2.653e+00  5.316e-02   -49.899  < 2e-16 ***
desti_grid2308 -8.440e-01  5.197e-02   -16.242  < 2e-16 ***
desti_grid2309 -8.814e-02  5.141e-02    -1.714 0.086449 .  
desti_grid2310 -5.315e-01  5.143e-02   -10.334  < 2e-16 ***
desti_grid2311  2.173e-01  5.130e-02     4.235 2.28e-05 ***
desti_grid2312 -1.608e+00  5.205e-02   -30.903  < 2e-16 ***
desti_grid2313  3.535e-01  5.130e-02     6.892 5.49e-12 ***
desti_grid2314  3.735e-01  5.125e-02     7.288 3.15e-13 ***
desti_grid2315 -1.271e+00  5.162e-02   -24.614  < 2e-16 ***
desti_grid2316 -1.008e+00  5.148e-02   -19.587  < 2e-16 ***
desti_grid2317 -2.833e+00  5.724e-02   -49.504  < 2e-16 ***
desti_grid2335 -1.759e+00  5.354e-02   -32.854  < 2e-16 ***
desti_grid2336  5.292e-01  5.128e-02    10.322  < 2e-16 ***
desti_grid2337 -3.770e-02  5.134e-02    -0.734 0.462778    
desti_grid2338 -9.642e-01  5.168e-02   -18.657  < 2e-16 ***
desti_grid2339 -2.895e-01  5.137e-02    -5.635 1.75e-08 ***
desti_grid2340 -7.394e-01  5.138e-02   -14.392  < 2e-16 ***
desti_grid2341 -2.356e-01  5.131e-02    -4.591 4.41e-06 ***
desti_grid2342 -1.614e+00  5.158e-02   -31.295  < 2e-16 ***
desti_grid2343 -1.848e+00  5.187e-02   -35.628  < 2e-16 ***
desti_grid2362 -9.815e-01  5.249e-02   -18.699  < 2e-16 ***
desti_grid2363 -5.125e-01  5.155e-02    -9.941  < 2e-16 ***
desti_grid2364 -9.249e-01  5.203e-02   -17.777  < 2e-16 ***
desti_grid2365  2.170e-01  5.133e-02     4.228 2.36e-05 ***
desti_grid2366 -2.810e-01  5.254e-02    -5.348 8.90e-08 ***
desti_grid2367 -6.965e-01  5.151e-02   -13.521  < 2e-16 ***
desti_grid2368 -8.720e-01  5.140e-02   -16.964  < 2e-16 ***
desti_grid2369 -4.504e-03  5.128e-02    -0.088 0.930008    
desti_grid2370  5.438e-01  5.125e-02    10.611  < 2e-16 ***
desti_grid2371 -1.548e+00  5.162e-02   -29.989  < 2e-16 ***
desti_grid2389 -5.485e-01  5.161e-02   -10.628  < 2e-16 ***
desti_grid2390  3.733e-01  5.130e-02     7.277 3.41e-13 ***
desti_grid2391  1.788e-01  5.138e-02     3.480 0.000501 ***
desti_grid2392  2.592e-01  5.186e-02     4.998 5.80e-07 ***
desti_grid2393  9.519e-01  5.172e-02    18.405  < 2e-16 ***
desti_grid2394 -2.443e+00  5.294e-02   -46.139  < 2e-16 ***
desti_grid2395 -1.042e+00  5.143e-02   -20.264  < 2e-16 ***
desti_grid2396 -9.852e-01  5.139e-02   -19.169  < 2e-16 ***
desti_grid2397 -2.360e+00  5.209e-02   -45.301  < 2e-16 ***
desti_grid2398 -1.585e+00  5.237e-02   -30.265  < 2e-16 ***
desti_grid2416 -8.426e-01  5.193e-02   -16.225  < 2e-16 ***
desti_grid2417 -8.152e-01  5.206e-02   -15.658  < 2e-16 ***
desti_grid2418 -5.422e-01  5.148e-02   -10.533  < 2e-16 ***
desti_grid2419  1.763e-01  5.133e-02     3.434 0.000594 ***
desti_grid2420 -2.492e+00  6.245e-02   -39.904  < 2e-16 ***
desti_grid2422 -2.392e+00  5.538e-02   -43.204  < 2e-16 ***
desti_grid2423 -2.029e+00  5.184e-02   -39.148  < 2e-16 ***
desti_grid2424 -2.721e-01  5.130e-02    -5.305 1.13e-07 ***
desti_grid2425  4.233e-01  5.126e-02     8.258  < 2e-16 ***
desti_grid2426 -1.486e+00  5.345e-02   -27.797  < 2e-16 ***
desti_grid2443  6.946e-01  5.130e-02    13.541  < 2e-16 ***
desti_grid2444  9.282e-02  5.132e-02     1.809 0.070524 .  
desti_grid2445  7.473e-02  5.133e-02     1.456 0.145425    
desti_grid2448 -1.149e+00  5.232e-02   -21.956  < 2e-16 ***
desti_grid2449 -2.290e+00  5.246e-02   -43.649  < 2e-16 ***
desti_grid2450 -1.760e+00  5.170e-02   -34.043  < 2e-16 ***
desti_grid2451 -1.565e-01  5.129e-02    -3.052 0.002275 ** 
desti_grid2452 -2.981e+00  5.630e-02   -52.951  < 2e-16 ***
desti_grid2471 -9.002e-01  5.163e-02   -17.436  < 2e-16 ***
desti_grid2472 -2.563e+00  5.468e-02   -46.882  < 2e-16 ***
desti_grid2473  1.998e-01  5.135e-02     3.891 9.99e-05 ***
desti_grid2476 -7.518e-02  5.176e-02    -1.452 0.146385    
desti_grid2478 -1.550e+00  5.164e-02   -30.013  < 2e-16 ***
desti_grid2479 -2.896e+00  5.343e-02   -54.202  < 2e-16 ***
desti_grid2480 -2.082e+00  5.581e-02   -37.311  < 2e-16 ***
desti_grid2497 -1.233e-01  5.143e-02    -2.398 0.016480 *  
desti_grid2498 -2.095e+00  5.313e-02   -39.438  < 2e-16 ***
desti_grid2499 -1.087e+00  5.180e-02   -20.983  < 2e-16 ***
desti_grid2500 -1.555e+00  5.337e-02   -29.142  < 2e-16 ***
desti_grid2503 -3.501e+00  7.740e-02   -45.235  < 2e-16 ***
desti_grid2504 -3.362e+00  5.993e-02   -56.096  < 2e-16 ***
desti_grid2505 -1.547e+00  5.168e-02   -29.923  < 2e-16 ***
desti_grid2525 -1.256e+00  5.200e-02   -24.152  < 2e-16 ***
desti_grid2526 -2.881e-02  5.137e-02    -0.561 0.574915    
desti_grid2527  3.317e-01  5.132e-02     6.464 1.02e-10 ***
desti_grid2531 -4.730e+00  1.308e-01   -36.152  < 2e-16 ***
desti_grid2532 -2.094e+00  5.210e-02   -40.186  < 2e-16 ***
desti_grid2533 -2.185e+00  5.323e-02   -41.044  < 2e-16 ***
desti_grid2551 -9.087e-02  5.149e-02    -1.765 0.077603 .  
desti_grid2552 -1.303e+00  5.251e-02   -24.810  < 2e-16 ***
desti_grid2553 -6.886e-01  5.189e-02   -13.271  < 2e-16 ***
desti_grid2554 -2.082e+00  5.297e-02   -39.299  < 2e-16 ***
desti_grid2557 -2.541e-01  5.204e-02    -4.883 1.04e-06 ***
desti_grid2559 -2.547e+00  5.332e-02   -47.771  < 2e-16 ***
desti_grid2579 -8.508e-01  5.165e-02   -16.473  < 2e-16 ***
desti_grid2580  1.908e-01  5.134e-02     3.716 0.000202 ***
desti_grid2581 -1.021e+00  5.179e-02   -19.710  < 2e-16 ***
desti_grid2584 -2.130e+00  5.623e-02   -37.882  < 2e-16 ***
desti_grid2605 -1.757e+00  5.383e-02   -32.645  < 2e-16 ***
desti_grid2606 -1.528e+00  5.447e-02   -28.044  < 2e-16 ***
desti_grid2607 -8.226e-01  5.157e-02   -15.950  < 2e-16 ***
desti_grid2608 -1.378e+00  5.216e-02   -26.422  < 2e-16 ***
desti_grid2609 -2.889e+00  5.941e-02   -48.627  < 2e-16 ***
desti_grid2610 -2.313e+00  5.762e-02   -40.142  < 2e-16 ***
desti_grid2611  3.136e-01  5.236e-02     5.990 2.10e-09 ***
desti_grid2633 -6.437e-01  5.163e-02   -12.466  < 2e-16 ***
desti_grid2634  1.343e+00  5.124e-02    26.211  < 2e-16 ***
desti_grid2635 -1.419e+00  5.209e-02   -27.234  < 2e-16 ***
desti_grid2636 -2.143e-01  5.143e-02    -4.167 3.08e-05 ***
desti_grid2637 -1.350e+00  5.212e-02   -25.894  < 2e-16 ***
desti_grid2638 -1.129e+00  5.174e-02   -21.815  < 2e-16 ***
desti_grid2660 -5.048e-01  5.150e-02    -9.803  < 2e-16 ***
desti_grid2661 -5.442e-01  5.143e-02   -10.582  < 2e-16 ***
desti_grid2662 -1.451e+00  5.181e-02   -28.010  < 2e-16 ***
desti_grid2663  9.603e-02  5.138e-02     1.869 0.061641 .  
desti_grid2664 -1.024e+00  5.164e-02   -19.837  < 2e-16 ***
desti_grid2665  2.344e-01  5.132e-02     4.568 4.92e-06 ***
desti_grid2687 -1.622e+00  5.232e-02   -31.007  < 2e-16 ***
desti_grid2688 -4.781e-01  5.144e-02    -9.295  < 2e-16 ***
desti_grid2689  2.735e-01  5.131e-02     5.329 9.85e-08 ***
desti_grid2690 -1.499e-02  5.136e-02    -0.292 0.770451    
desti_grid2691 -5.860e-01  5.149e-02   -11.381  < 2e-16 ***
desti_grid2693 -5.549e-01  5.148e-02   -10.780  < 2e-16 ***
desti_grid2714 -1.404e+00  5.195e-02   -27.019  < 2e-16 ***
desti_grid2715 -7.076e-01  5.166e-02   -13.698  < 2e-16 ***
desti_grid2716 -2.689e+00  5.348e-02   -50.284  < 2e-16 ***
desti_grid2717 -2.307e-01  5.136e-02    -4.492 7.04e-06 ***
desti_grid2718 -1.361e+00  5.195e-02   -26.202  < 2e-16 ***
desti_grid2719 -4.596e-01  5.146e-02    -8.932  < 2e-16 ***
desti_grid2742 -2.440e-01  5.142e-02    -4.746 2.07e-06 ***
desti_grid2743 -2.111e-01  5.164e-02    -4.088 4.34e-05 ***
desti_grid2744  3.220e-01  5.129e-02     6.278 3.43e-10 ***
desti_grid2745  3.058e-01  5.130e-02     5.962 2.50e-09 ***
desti_grid2746 -1.991e+00  5.307e-02   -37.525  < 2e-16 ***
desti_grid2747 -1.074e+00  5.183e-02   -20.720  < 2e-16 ***
desti_grid2768 -3.555e-01  5.152e-02    -6.900 5.19e-12 ***
desti_grid2769  6.646e-01  5.130e-02    12.953  < 2e-16 ***
desti_grid2770  9.560e-02  5.136e-02     1.861 0.062700 .  
desti_grid2771  1.482e+00  5.124e-02    28.930  < 2e-16 ***
desti_grid2772 -2.921e+00  5.706e-02   -51.192  < 2e-16 ***
desti_grid2773 -1.417e+00  5.181e-02   -27.344  < 2e-16 ***
desti_grid2795 -1.753e+00  8.172e-02   -21.455  < 2e-16 ***
desti_grid2796 -4.559e+00  1.263e-01   -36.085  < 2e-16 ***
desti_grid2797 -1.455e-01  5.144e-02    -2.828 0.004678 ** 
desti_grid2798 -1.628e+00  5.199e-02   -31.316  < 2e-16 ***
desti_grid2799 -8.822e-01  5.157e-02   -17.108  < 2e-16 ***
desti_grid2800  4.187e-01  5.131e-02     8.160 3.35e-16 ***
desti_grid2801 -2.471e+00  5.910e-02   -41.807  < 2e-16 ***
desti_grid2822 -1.888e+00  5.300e-02   -35.623  < 2e-16 ***
desti_grid2823 -5.203e-01  5.158e-02   -10.087  < 2e-16 ***
desti_grid2824  4.663e-01  5.138e-02     9.075  < 2e-16 ***
desti_grid2825 -3.104e-01  5.139e-02    -6.040 1.54e-09 ***
desti_grid2826 -8.095e-01  5.179e-02   -15.630  < 2e-16 ***
desti_grid2827  1.055e+00  5.127e-02    20.584  < 2e-16 ***
desti_grid2850 -1.407e+00  5.279e-02   -26.658  < 2e-16 ***
desti_grid2851  6.105e-01  5.135e-02    11.890  < 2e-16 ***
desti_grid2852 -1.055e+00  5.188e-02   -20.333  < 2e-16 ***
desti_grid2853  8.581e-01  5.127e-02    16.738  < 2e-16 ***
desti_grid2854 -1.523e-01  5.143e-02    -2.962 0.003055 ** 
desti_grid2877 -9.156e-01  5.273e-02   -17.364  < 2e-16 ***
desti_grid2878 -3.145e-01  5.156e-02    -6.100 1.06e-09 ***
desti_grid2879 -3.731e-01  5.160e-02    -7.230 4.82e-13 ***
desti_grid2880 -1.323e+00  5.182e-02   -25.527  < 2e-16 ***
desti_grid2881 -9.456e-01  5.178e-02   -18.261  < 2e-16 ***
desti_grid2905  1.321e-01  5.162e-02     2.558 0.010516 *  
desti_grid2906 -4.596e-01  5.193e-02    -8.851  < 2e-16 ***
desti_grid2907 -1.204e+00  5.182e-02   -23.237  < 2e-16 ***
desti_grid2908 -1.990e-01  5.148e-02    -3.866 0.000110 ***
desti_grid2909 -1.910e+00  6.233e-02   -30.637  < 2e-16 ***
desti_grid2931  2.968e-01  5.175e-02     5.735 9.77e-09 ***
desti_grid2932 -1.948e-01  5.184e-02    -3.757 0.000172 ***
desti_grid2933  3.901e-01  5.147e-02     7.580 3.45e-14 ***
desti_grid2934 -9.022e-01  5.168e-02   -17.457  < 2e-16 ***
desti_grid2959  4.533e-01  5.195e-02     8.726  < 2e-16 ***
desti_grid2960  1.226e+00  5.166e-02    23.739  < 2e-16 ***
desti_grid2961 -3.056e-01  5.175e-02    -5.905 3.52e-09 ***
desti_grid2962 -1.782e-02  5.149e-02    -0.346 0.729242    
desti_grid2963  3.933e-02  5.255e-02     0.748 0.454244    
desti_grid2987  5.691e-02  5.229e-02     1.088 0.276456    
desti_grid2988 -2.442e+00  5.634e-02   -43.350  < 2e-16 ***
desti_grid2989 -4.819e-01  5.177e-02    -9.309  < 2e-16 ***
desti_grid2990  1.965e-01  5.279e-02     3.723 0.000197 ***
desti_grid3015 -1.246e+00  5.507e-02   -22.621  < 2e-16 ***
desti_grid3016 -3.279e-01  5.251e-02    -6.245 4.25e-10 ***
desti_grid3017 -7.561e-01  5.205e-02   -14.527  < 2e-16 ***
desti_grid3040  5.917e-01  5.153e-02    11.483  < 2e-16 ***
desti_grid3043 -8.931e-01  5.216e-02   -17.124  < 2e-16 ***
desti_grid3044 -4.512e-01  5.206e-02    -8.666  < 2e-16 ***
desti_grid3068 -9.276e-01  5.273e-02   -17.590  < 2e-16 ***
desti_grid3070 -1.205e+00  5.516e-02   -21.839  < 2e-16 ***
desti_grid3072 -7.086e-01  5.658e-02   -12.525  < 2e-16 ***
desti_grid3092  5.601e-01  5.378e-02    10.415  < 2e-16 ***
desti_grid3098  1.362e-01  5.175e-02     2.632 0.008476 ** 
desti_grid3123  1.945e+00  5.133e-02    37.893  < 2e-16 ***
desti_grid3126 -3.274e+00  7.863e-02   -41.643  < 2e-16 ***
desti_grid3151  1.531e+00  5.141e-02    29.783  < 2e-16 ***
desti_grid3152 -3.526e+00  8.306e-02   -42.451  < 2e-16 ***
desti_grid3173 -3.615e-01  5.752e-02    -6.286 3.26e-10 ***
desti_grid3178  1.433e-01  5.211e-02     2.749 0.005976 ** 
desti_grid3179  4.225e-02  5.221e-02     0.809 0.418471    
desti_grid3205  1.027e+00  5.266e-02    19.498  < 2e-16 ***
desti_grid3206  1.297e+00  5.163e-02    25.120  < 2e-16 ***
desti_grid3232  9.609e-01  5.645e-02    17.022  < 2e-16 ***
desti_grid3233  1.922e-01  5.556e-02     3.459 0.000543 ***
desti_grid3308  6.737e-01  5.516e-02    12.213  < 2e-16 ***
euc_dist       -4.626e-04  1.114e-07 -4153.590  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for poisson family taken to be 1)

    Null deviance: 104481095  on 65713  degrees of freedom
Residual deviance:  31990683  on 64071  degrees of freedom
AIC: 32355797

Number of Fisher Scoring iterations: 7
Statistical Conclusion

euc_dist -4.626e-04 1.114e-07 -4153.590 < 2e-16 ***

Number of weekday morning peak period trips has a statistically significant relationship with distance.

It has a negative association (-4.626e-04). Thus, the greater the distance between origin and destination, the fewer trips in general.

Model Diagnostics

R-squared

Measure how much variation of the trips can be accounted by the model

calc_r2 <- function(observed, estimated){
  r <- cor(observed, estimated)
  R2 <- r^2
  R2
}

R-squared value for each model

message(paste("R-squared value for Origin Constrained Model is:", calc_r2(oriSIM$data$TRIPS, oriSIM$fitted.values)))
        
message(paste("R-squared value for Origin Constrained Model is:", calc_r2(destiSIM$data$TRIPS, destiSIM$fitted.values)))

message(paste("R-squared value for Destination Constrained Model is:",calc_r2(destiSIM$data$TRIPS, destiSIM$fitted.values)))

message(paste("R-squared value for Doubly Constrained Model is:",calc_r2(dbcSIM$data$TRIPS, dbcSIM$fitted.values)))

message(paste("R-squared value for Unconstrained Model is:",calc_r2(uncSIM$data$TRIPS, uncSIM$fitted.values)))
Statistical Conclusion

The model with the highest R-squared value is the unconstrained model, where the variables (origin, destination and distance) can account for about 45% of the variability in trips. The doubly constrained model, which uses log of distance for its calculations, was able to account for about 21% of variability in trips.

RMSE

model_list <- list(
  origin_constrained = oriSIM,
  destination_constrained = destiSIM,
  doubly_constrained = dbcSIM,
  uncontrained = uncSIM)

compare_performance(model_list,
                    metrics = "RMSE")
# Comparison of Model Performance Indices

Name                    | Model |     RMSE
------------------------------------------
origin_constrained      |   glm | 1888.916
destination_constrained |   glm | 1864.320
doubly_constrained      |   glm | 1832.358
uncontrained            |   glm | 1412.062
Statistical Conclusion

Similarly, the model with the lowest RMSE(1412.062), the unconstrained model indicates the best performance among the models.

Visualising fitted

Visualise observed values and fitted values

Extract the fitted values from each model

df <- as.data.frame(uncSIM$fitted.values) %>%
  round(digits = 0)

Join the values to SIM_data data frame

SIM_data <- SIM_data %>%
  cbind(df) %>%
  rename(uncTRIPS = "uncSIM$fitted.values")

Repeat for Origin Constrained SIM (i.e. oriSIM)

df <- as.data.frame(oriSIM$fitted.values) %>%
  round(digits = 0)
SIM_data <- SIM_data %>%
  cbind(df) %>%
  rename(oriTRIPS = "oriSIM$fitted.values")

Repeat for Destination Constrained SIM (i.e. destiSIM)

df <- as.data.frame(destiSIM$fitted.values) %>%
  round(digits = 0)
SIM_data <- SIM_data %>%
  cbind(df) %>%
  rename(destiTRIPS = "destiSIM$fitted.values")

Repeat for Doubly Constrained SIM (i.e. dbcSIM)

df <- as.data.frame(dbcSIM$fitted.values) %>%
  round(digits = 0)
SIM_data <- SIM_data %>%
  cbind(df) %>%
  rename(dbcTRIPS = "dbcSIM$fitted.values")
unc_p <- ggplot(data = SIM_data,
                aes(x = log(uncTRIPS),
                    y = TRIPS)) +
  geom_point() +
  geom_smooth(method = lm)

ori_p <- ggplot(data = SIM_data,
                aes(x = log(oriTRIPS),
                    y = TRIPS)) +
  geom_point() +
  geom_smooth(method = lm)

desti_p <- ggplot(data = SIM_data,
                aes(x = log(destiTRIPS),
                    y = TRIPS)) +
  geom_point() +
  geom_smooth(method = lm)

dbc_p <- ggplot(data = SIM_data,
                aes(x = log(dbcTRIPS),
                    y = TRIPS)) +
  geom_point() +
  geom_smooth(method = lm)

ggarrange(unc_p, ori_p, desti_p, dbc_p,
          ncol = 2,
          nrow = 2)

Statistical Conclusion

The plots above using the log values in x-axis show that there is a strongest linear trend between fitted and observed values in the unconstrained model, followed by doubly constrained model, as compared to the other models.