Take home Exercise 2

Author

Mah Lian Khye

Published

14 December 2023

Modified

last-modified

Overview

Organising bodies will have to consider passenger usage to and from locations when adding, changing or removing current transportation routes. Any alterations to present routes can lead to passengers having to seek alternate travelling options that can impact travel time and distance. To minimise the impact, the travelling routes taken will have to be surveyed thorugh commuters survey. However this form of sampling can be inefficient and will easily be out of date. The use of passenger tracking methods such as GPS or smart card boarding and alighting locations may be used as a substitute that can generate data more readily.

Objective

The main objectives of this exercise is to analyse the boarding and alighting locations of passengers of a time interval. This analysis will allow us to track the factors that affect urban mobility so that route usage may be analyse for future route planning.

Tasks

The tasks of this exercise are as follow:

  • Derive an analytical hexagon map to be used as a traffic analysis zone
  • Construct an O-D matrix of commuter flow for weekday evenings from 5pm to 8pm
  • Display the O-D flows
  • Assemble at least 3 propulsive and 3 attractiveness variables
  • Compute a distance matrix
  • Calibrate spatial interactive models and present the modelling results using geovisualisation and graphical visualisation methods

Importing packages and data

Firstly, we will import the various packages that we will need for this exercise.

pacman::p_load(tmap, sf, sp, DT, 
               performance, reshape2,
               tidyverse, dplyr,  stplanr, ggpubr)
Package functions
  • tmap: choropleth map visualisation
  • sf: package containing functions to support simple features and standardised a way to encode spatial vector data
  • sp: provide classes and methods for spatial data types
  • DT: for creating DataTables
  • performance: for assessing model quality
  • reshape2: for reshaping data
  • tidyverse: for manipulating and data presentations, it also contains other packages such as dplyr etc for tidying up data
  • stplanr: for creating mobility lines
  • ggpubr: for manipulating plots

Next we will import the data to be used for analysis.

Here we will import the ridership of the different bus stops in Oct 2023.

odbus <- read_csv("data/aspatial/origin_destination_bus_202310.csv")
Rows: 5694297 Columns: 7
── Column specification ────────────────────────────────────────────────────────
Delimiter: ","
chr (5): YEAR_MONTH, DAY_TYPE, PT_TYPE, ORIGIN_PT_CODE, DESTINATION_PT_CODE
dbl (2): TIME_PER_HOUR, TOTAL_TRIPS

ℹ Use `spec()` to retrieve the full column specification for this data.
ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.

Next we will extract the ridership for weekdays from 5pm to 8pm only.

weekdayPM <- odbus %>% 
  filter(DAY_TYPE == "WEEKDAY") %>%
  filter(TIME_PER_HOUR >= 17 & TIME_PER_HOUR <= 20) %>%
  group_by(ORIGIN_PT_CODE,
           DESTINATION_PT_CODE) %>%
  summarise(TRIPS = sum(TOTAL_TRIPS))
`summarise()` has grouped output by 'ORIGIN_PT_CODE'. You can override using
the `.groups` argument.

Next we will import all of the bus stops and their coordinates and attached it to the busstop variable.

busstop <- st_read(dsn = "data/geospatial", layer = "BusStop") %>%
  st_transform(crs = 3414)
Reading layer `BusStop' from data source 
  `C:\Users\Lian Khye\Desktop\MITB\Geospatial\geartooth\ISSS624\Take_home_Ex2\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

We will also import all of the attractive and propulsive factors that we will use for subsequent modelling analysis.

For attractive factors we will be using HDBs, retail outlets and train station exits as people either take buses to return home directly or to the train stations for their subsequent journey in the evening. There might be people who choose to do shopping after work or dinner, therefore retail stores have been chosen as a attractive factor. Here we will import the data for them.

For HDB data we will have to process them from latitude and longitude points to projected coordinate system.

hdb <- read_csv("data/aspatial/hdb.csv")
New names:
Rows: 12442 Columns: 37
── Column specification
──────────────────────────────────────────────────────── Delimiter: "," chr
(18): blk_no, street, residential, commercial, market_hawker, miscellane... dbl
(19): ...1, max_floor_lvl, year_completed, total_dwelling_units, 1room_s...
ℹ Use `spec()` to retrieve the full column specification for this data. ℹ
Specify the column types or set `show_col_types = FALSE` to quiet this message.
• `` -> `...1`
hdb_sf <- st_as_sf(hdb, coords = c("lng", "lat"), crs = st_crs(4326)) %>%
  st_transform(crs = 3414)

We can import the retail stores and train station exits data directly as they are already in the correct coordinate system that we will be using in this exercise.

retail_sf <- st_read(dsn = "data/geospatial", 
                layer = "Retails") %>%
  st_transform(crs=3414)
Reading layer `Retails' from data source 
  `C:\Users\Lian Khye\Desktop\MITB\Geospatial\geartooth\ISSS624\Take_home_Ex2\data\geospatial' 
  using driver `ESRI Shapefile'
Simple feature collection with 37635 features and 3 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 4737.982 ymin: 25171.88 xmax: 48265.04 ymax: 50135.28
Projected CRS: SVY21 / Singapore TM
stn_exit_sf <- st_read(dsn = "data/geospatial", 
                layer = "Train_Station_Exit_Layer") %>%
  st_transform(crs=3414)
Reading layer `Train_Station_Exit_Layer' from data source 
  `C:\Users\Lian Khye\Desktop\MITB\Geospatial\geartooth\ISSS624\Take_home_Ex2\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
Coordinate systems

Remember to use the correct coordinate system so that data can be matched correctly! More information for the system used can be found here.

The propulsive factors chosen are schools, businesses and financial services. They are identified as propulsive attributes as people leave work and school in the evening.

For school data we will have to process them from latitude and longitude points to projected coordinate system as well.

code chunk
schools <- read_csv("data/aspatial/schools.csv")
New names:
Rows: 350 Columns: 41
── Column specification
──────────────────────────────────────────────────────── Delimiter: "," chr
(35): school_name, url_address, address, telephone_no, telephone_no_2, f... dbl
(6): ...1, postal_code, results.X, results.Y, results.LATITUDE, results...
ℹ Use `spec()` to retrieve the full column specification for this data. ℹ
Specify the column types or set `show_col_types = FALSE` to quiet this message.
• `` -> `...1`
code chunk
schools <- schools %>%
  rename("latitude" = "results.LATITUDE",
         "longitude" = "results.LONGITUDE") %>%
  select(postal_code, school_name, latitude, longitude)
schools_sf <- st_as_sf(schools, coords = c("longitude", "latitude"), crs = st_crs(4326)) %>%
  st_transform(crs = 3414)

For financial services and businesses, we can import the geospatial data directly.

code chunk
fin_sf <- st_read(dsn = "data/geospatial", 
                layer = "FinServ") %>%
  st_transform(crs=3414)
Reading layer `FinServ' from data source 
  `C:\Users\Lian Khye\Desktop\MITB\Geospatial\geartooth\ISSS624\Take_home_Ex2\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
code chunk
biz_sf <- st_read(dsn = "data/geospatial", 
                layer = "Business") %>%
  st_transform(crs=3414)
Reading layer `Business' from data source 
  `C:\Users\Lian Khye\Desktop\MITB\Geospatial\geartooth\ISSS624\Take_home_Ex2\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

We will first rename the bus stop column title for easier data joining.

code chunk
colnames(busstop)[colnames(busstop) == "BUS_STOP_N"] <- "ORIGIN_PT_CODE"

We will also import the layout of Singapore for excluding bus stops that are not found in Singapore.

mpsz <- st_read(dsn = "data/geospatial",
                   layer = "MPSZ-2019") %>%
  st_transform(crs = 3414)
Reading layer `MPSZ-2019' from data source 
  `C:\Users\Lian Khye\Desktop\MITB\Geospatial\geartooth\ISSS624\Take_home_Ex2\data\geospatial' 
  using driver `ESRI Shapefile'
Simple feature collection with 332 features and 6 fields
Geometry type: MULTIPOLYGON
Dimension:     XY
Bounding box:  xmin: 103.6057 ymin: 1.158699 xmax: 104.0885 ymax: 1.470775
Geodetic CRS:  WGS 84

Creating Hexagon layer

After we have import our data, we will create the hexagons that will create the map layout. All of the hexagons will also be given a grid id name that can be used for identifying each individual grid.

area_honeycomb_grid <- st_make_grid(busstop, cellsize = 750, what = "polygons", square = FALSE)
honeycomb_grid_sf <- st_sf(area_honeycomb_grid) %>%
  mutate(grid_id = 1:length(lengths(area_honeycomb_grid)))

Data processing

Assigning individual bus stop to hexagons

First we will assign the bus stop point geometry data to each polygon using st_intersection() of the layout of Singapore to obtain bus stops located locally followed by another intersection with the hexagon map. The function assigns all of the points to a polygon by the point-set intersection of two geometries. Additional information here.

valid_busstop <- st_intersection(busstop, mpsz)
Warning: attribute variables are assumed to be spatially constant throughout
all geometries
busstop_hex <- st_intersection(valid_busstop, honeycomb_grid_sf) %>%
  select(1,10)%>%
  st_drop_geometry()
Warning: attribute variables are assumed to be spatially constant throughout
all geometries
busstop_hex <- unique(busstop_hex)

Duplication check

We will only keep data points that are unique using the unique() function. This function will only keep rows that are unique in the data set.

unique_weekdayPM <- unique(weekdayPM)

Assign grid id to origin and destination

Using the grid that we have created in the beginning, we will now join the data that contains the destination together with the grid. Our busstop_hex variable contains a column with the bus stop number and another column with the grid id. Since we have renamed our bus stop number column name as ORIGIN_PT_CODE, which can also be found in our trips data set, they can now be joined using that as a common point, thereby assigning the grid id to the origin bus stops. The newly assigned grid id will be renamed to avoid confusion when joining the grid id again for the destination bus stop next.

combn_des_weekdayPM <- left_join(unique_weekdayPM,busstop_hex) %>%
  rename(ORIGIN_BS = ORIGIN_PT_CODE,
         ORIGIN_GRID = grid_id,
         DESTIN_BS = DESTINATION_PT_CODE)
Joining with `by = join_by(ORIGIN_PT_CODE)`
Warning in left_join(unique_weekdayPM, busstop_hex): Detected an unexpected many-to-many relationship between `x` and `y`.
ℹ Row 130737 of `x` matches multiple rows in `y`.
ℹ Row 3054 of `y` matches multiple rows in `x`.
ℹ If a many-to-many relationship is expected, set `relationship =
  "many-to-many"` to silence this warning.
unique(combn_des_weekdayPM)
# A tibble: 264,319 × 4
# Groups:   ORIGIN_BS [5,039]
   ORIGIN_BS DESTIN_BS TRIPS ORIGIN_GRID
   <chr>     <chr>     <dbl>       <int>
 1 01012     01112       540        1474
 2 01012     01113       516        1474
 3 01012     01121       303        1474
 4 01012     01211       363        1474
 5 01012     01311       630        1474
 6 01012     01549         6        1474
 7 01012     01559         6        1474
 8 01012     04142         1        1474
 9 01012     07371        42        1474
10 01012     60011        48        1474
# ℹ 264,309 more rows
Caution

Using left_join() will join the right data set to the left, so be careful to avoid losing wanted data. Use right_join() or full_join() as needed. More information here.

Here we will join the destination grid ID by matching the destination bus stop code and the bus stop code so as to match the destination bus stop to their grid. Aside from joining them using a common column name, we can also force this pairing using a by = () argument. After that we will check for duplications again.

OD_weekdayPM <- left_join(combn_des_weekdayPM , busstop_hex,
            by = c("DESTIN_BS" = "ORIGIN_PT_CODE"))
Warning in left_join(combn_des_weekdayPM, busstop_hex, by = c(DESTIN_BS = "ORIGIN_PT_CODE")): Detected an unexpected many-to-many relationship between `x` and `y`.
ℹ Row 908 of `x` matches multiple rows in `y`.
ℹ Row 3139 of `y` matches multiple rows in `x`.
ℹ If a many-to-many relationship is expected, set `relationship =
  "many-to-many"` to silence this warning.
OD_weekdayPM <- unique(OD_weekdayPM)

To make it clearer we will rename the grid_ID column, which is the destination grid id into DESTIN_GRID. We will also sum up all of the trips made that have a unique origin and destination pair. This way we can calculate the total trips that are taken using this particular route.

OD_weekdayPM <- OD_weekdayPM %>%
  rename(DESTIN_GRID = grid_id)%>%
  drop_na()%>%
  group_by(ORIGIN_GRID, DESTIN_GRID) %>%
  summarise(TRIPS = sum(TRIPS))
`summarise()` has grouped output by 'ORIGIN_GRID'. You can override using the
`.groups` argument.

We will have to remove any intra hexagonal trips.

OD_weekdayPM <- OD_weekdayPM[OD_weekdayPM$ORIGIN_GRID!=OD_weekdayPM$DESTIN_GRID,]

Creating desire lines

Here we will create the desire lines from the different origin grids and destination grids using the od2line() function.

OD_weekdayPM <- od2line(flow = OD_weekdayPM, 
                    zones = honeycomb_grid_sf,
                    zone_code = "grid_id")
Creating centroids representing desire line start and end points.

We will recreate the hexagonal-polygon data so that we are able to map out the hexagons onto the Singapore map. This is only for mapping and is different from the earlier hexagonal maps as we want the geometry data of each hexagon and their grid id.

valid_hex <- st_intersection(valid_busstop, honeycomb_grid_sf)%>%
  select(1,10) %>%
  st_drop_geometry()
Warning: attribute variables are assumed to be spatially constant throughout
all geometries
valid_hex <- left_join(honeycomb_grid_sf, valid_hex) %>%
  drop_na()
Joining with `by = join_by(grid_id)`

Visualisation of trips

Here we can visualise the flow of passengers between grids using the desire lines that we have created. We will look at all of the passenger flow, the top 5%, the bottom 5%, mean number of trips and the top 10 most popular trip routes.

code chunk
tm_shape(mpsz) +
  tm_polygons() +
  tm_shape(valid_hex) +
  tm_polygons()+
OD_weekdayPM %>%
tm_shape() +
  tm_lines(lwd = "TRIPS",
           style = "quantile",
           scale = c(0.1, 1, 3, 5, 7, 10),
           n = 6,
           alpha = 0.5)+
  tm_layout(main.title = "Passenger flow of the all trip count made(Weekday 5pm to 9pm)",
            main.title.position = "center",
            main.title.size = 1.2,
            legend.height = 0.45, 
            legend.width = 0.35,
            frame = TRUE) +
  
  tm_compass(type="8star", size = 2) +
  tm_scale_bar() +
  tm_grid(alpha =0.2)
Legend labels were too wide. Therefore, legend.text.size has been set to 0.63. Increase legend.width (argument of tm_layout) to make the legend wider and therefore the labels larger.

As we can see, the number of trips can be too numerous and we can make it clearer by limiting the plot to only a certain number of trips.

Before we plot, we will have to calculate the smallest number of trips that makes it to the top 5% of trips.

top5 <- OD_weekdayPM[OD_weekdayPM$TRIPS >= quantile(OD_weekdayPM$TRIPS, probs = 1-5/100),]
top5trips <- min(top5$TRIPS)

We can visualise the flow of bus passengers of the top 5% ridership count from each origin grid to the destination grid.

code chunk
tm_shape(mpsz) +
  tm_polygons() +
  tm_shape(valid_hex) +
  tm_polygons()+
OD_weekdayPM %>%  
  filter(TRIPS >= top5trips) %>%
tm_shape() +
  tm_lines(lwd = "TRIPS",
           style = "quantile",
           scale = c(0.1, 1, 3, 5, 7, 10),
           n = 6,
           alpha = 0.5) +
  tm_layout(main.title = "Passenger flow of the top 5% of trip count made(Weekday 5pm to 9pm)",
            main.title.position = "center",
            main.title.size = 1.2,
            legend.height = 0.45, 
            legend.width = 0.35,
            frame = TRUE) +
  
  tm_compass(type="8star", size = 2) +
  tm_scale_bar() +
  tm_grid(alpha =0.2)
Warning in g$scale * (x/maxW): longer object length is not a multiple of
shorter object length
Legend labels were too wide. Therefore, legend.text.size has been set to 0.63. Increase legend.width (argument of tm_layout) to make the legend wider and therefore the labels larger.

Here we will find out the maximum trip count for the bottom 5% of all trips made.

code chunk
bot5 <- OD_weekdayPM[OD_weekdayPM$TRIPS <= quantile(OD_weekdayPM$TRIPS, probs = 5/100),]
bot5trips <- max(bot5$TRIPS)
code chunk
tm_shape(mpsz) +
  tm_polygons() +
  tm_shape(valid_hex) +
  tm_polygons()+
OD_weekdayPM %>%  
  filter(TRIPS <= bot5trips) %>%
tm_shape() +
  tm_lines(lwd = "TRIPS",
           style = "quantile",
           scale = c(0.1, 1, 3, 5, 7, 10),
           n = 6,
           alpha = 0.5)+
  tm_layout(main.title = "Passenger flow of the bottom 5% of trip count made(Weekday 5pm to 9pm)",
            main.title.position = "center",
            main.title.size = 1.2,
            legend.height = 0.45, 
            legend.width = 0.35,
            frame = TRUE) +
  
  tm_compass(type="8star", size = 2) +
  tm_scale_bar() +
  tm_grid(alpha =0.2)

We can still see that there are too many desire lines to make out proper data. This means that even though we only extracted the bottom 5% of all trips, most of the trips are made with only 1 trip count.

We can calculate where half or more trips are made by calculating the mean number of trips.

summary(OD_weekdayPM$TRIPS)
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
    1.0     8.0    35.0   343.4   159.0 77350.0 

We can see that mean is 343.4 passengers made the same trip from a origin-destination grid pair.

code chunk
tm_shape(mpsz) +
  tm_polygons() +
  tm_shape(valid_hex) +
  tm_polygons()+
OD_weekdayPM %>%  
  filter(TRIPS >= 343.4) %>%
tm_shape() +
  tm_lines(lwd = "TRIPS",
           style = "quantile",
           scale = c(0.1, 1, 3, 5, 7, 10),
           n = 6,
           alpha = 0.3)+
  tm_layout(main.title = "Half or more passenger flow of trip count made(Weekday 5pm to 9pm)",
            main.title.position = "center",
            main.title.size = 1.2,
            legend.height = 0.45, 
            legend.width = 0.35,
            frame = TRUE) +
  
  tm_compass(type="8star", size = 2) +
  tm_scale_bar() +
  tm_grid(alpha =0.2)
Warning in g$scale * (x/maxW): longer object length is not a multiple of
shorter object length
Legend labels were too wide. Therefore, legend.text.size has been set to 0.63. Increase legend.width (argument of tm_layout) to make the legend wider and therefore the labels larger.

We see that the data cleared up a lot when compared against the bottom 5% of all trips made and is closer to the top 5% of trips made. When combined with the median result of 35, the average passenger count of 343.4 means more trips are made with a low number of passengers and there are popular routes that are often taken in the early morning peak period. The large number of passengers on certain popular routes causes the data to skew.

Aside from using the percentage, we can also plot out the top 10 most popular routes made during weekday evening peak period. We will first obtain the routes with top 10 trip count.

top10 <- head(arrange(OD_weekdayPM, desc(TRIPS)), n = 10)
top10trips <- min(top10$TRIPS)
code chunk
tm_shape(mpsz) +
  tm_polygons() +
  tm_shape(valid_hex) +

  tm_polygons()+
OD_weekdayPM %>%  
  filter(TRIPS >= top10trips) %>%
tm_shape() +
  tm_lines(lwd = "TRIPS",
           style = "quantile",
           scale = c(0.1, 1, 3, 5, 7, 10),
           n = 10,
           alpha = 0.5)+
  tm_layout(main.title = "Top 10 most popular routes of trip count made(Weekday 5pm to 9pm)",
            main.title.position = "center",
            main.title.size = 1.2,
            legend.height = 0.45, 
            legend.width = 0.35,
            frame = TRUE) +
  
  tm_compass(type="8star", size = 2) +
  tm_scale_bar() +
  tm_grid(alpha =0.2)
Warning in g$scale * (x/maxW): longer object length is not a multiple of
shorter object length
Legend labels were too wide. Therefore, legend.text.size has been set to 0.63. Increase legend.width (argument of tm_layout) to make the legend wider and therefore the labels larger.

We can see that for most popular bus routes, the distance between the origin and destination grids is relatively short. Longer distance travel may be more efficient via other transport modes such as trains.

We can also take a look at the bus stops that are found within the most popular origin-destination grid pair.

code chunk
top_df <- head(arrange(OD_weekdayPM, desc(TRIPS)), n = 1) %>% 
  st_drop_geometry()
busstop_hex_df <- st_drop_geometry(busstop_hex)

toporigin <- top_df %>%
  left_join (busstop_hex_df,
             by = c("ORIGIN_GRID" = "grid_id")) %>%
  rename(origin_bs = ORIGIN_PT_CODE)

toporigin_des <- toporigin %>%
  left_join (busstop_hex_df,
             by = c("DESTIN_GRID" = "grid_id")) %>%
  rename(des_bs = ORIGIN_PT_CODE)
Warning in left_join(., busstop_hex_df, by = c(DESTIN_GRID = "grid_id")): Detected an unexpected many-to-many relationship between `x` and `y`.
ℹ Row 1 of `x` matches multiple rows in `y`.
ℹ Row 1573 of `y` matches multiple rows in `x`.
ℹ If a many-to-many relationship is expected, set `relationship =
  "many-to-many"` to silence this warning.
code chunk
toporigin_bs <- data.frame(unique(toporigin_des$origin_bs)) %>% 
  rename(ORIGIN_PT_CODE = 1)

topdes_bs <- data.frame(unique(toporigin_des$des_bs))%>% 
  rename(ORIGIN_PT_CODE = 1)

topori_bsname <- left_join(toporigin_bs, valid_busstop)
Joining with `by = join_by(ORIGIN_PT_CODE)`
code chunk
topdes_bsname <- left_join(topdes_bs, valid_busstop)
Joining with `by = join_by(ORIGIN_PT_CODE)`
code chunk
ori <- toString(topori_bsname$LOC_DESC)
des <- toString(topdes_bsname$LOC_DESC)



mostpop <- data.frame((ori), (des)) %>%
  rename("Most popular origin bustops" = 1,
         "Most popular destination bustops" = 2)


datatable(mostpop)

We can see the bus stops that are found within the most popular origin-destination grid pair. Authorities can utilise the above information to plan for more buses to cater to those routes so as to ease traffic if needed.

Distance Matrix

Here we will begin calculating the distance between each hexagon and the other hexagons that contains bus stops. Normally people are less likely to take trips if the distance is longer.

We will create a hex data containing the grid id and the polygon information. Essentially this has the same information as the valid_hex variable that we have created earlier. But here we will add an additional step to filter out any duplicates.

code chunk
hex <- left_join( honeycomb_grid_sf,busstop_hex)%>%
  group_by(grid_id)%>%
  drop_na()%>%
  select(1)
Joining with `by = join_by(grid_id)`
code chunk
hex<-unique(hex)

Next we will convert it to a Spatial Polygonal Dataframe object using the as() function.

hex_sp <- as(hex, "Spatial")
hex_sp
class       : SpatialPolygonsDataFrame 
features    : 831 
extent      : 3595.122, 48595.12, 26049.09, 50297.8  (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  :      23 
max values  :    2505 

Next we will calculate the distance between the grids. The spDists() function will use the center of each hexagon for calculating the distance between grids.

DIST <- spDists(hex_sp, 
                longlat = FALSE)
head(DIST, n=c(10, 10))
          [,1]     [,2]     [,3]     [,4]     [,5]     [,6]     [,7]     [,8]
 [1,]    0.000  750.000 3269.174 1500.000 2704.163 3968.627 1299.038 2250.000
 [2,]  750.000    0.000 2598.076  750.000 1984.313 3269.174  750.000 1500.000
 [3,] 3269.174 2598.076    0.000 1984.313  750.000  750.000 2704.163 1500.000
 [4,] 1500.000  750.000 1984.313    0.000 1299.038 2598.076  750.000  750.000
 [5,] 2704.163 1984.313  750.000 1299.038    0.000 1299.038 1984.313  750.000
 [6,] 3968.627 3269.174  750.000 2598.076 1299.038    0.000 3269.174 1984.313
 [7,] 1299.038  750.000 2704.163  750.000 1984.313 3269.174    0.000 1299.038
 [8,] 2250.000 1500.000 1500.000  750.000  750.000 1984.313 1299.038    0.000
 [9,] 3436.932 2704.163  750.000 1984.313  750.000  750.000 2598.076 1299.038
[10,] 4683.748 3968.627 1500.000 3269.174 1984.313  750.000 3897.114 2598.076
          [,9]    [,10]
 [1,] 3436.932 4683.748
 [2,] 2704.163 3968.627
 [3,]  750.000 1500.000
 [4,] 1984.313 3269.174
 [5,]  750.000 1984.313
 [6,]  750.000  750.000
 [7,] 2598.076 3897.114
 [8,] 1299.038 2598.076
 [9,]    0.000 1299.038
[10,] 1299.038    0.000

We will then rename the column and row names with their respective grid ids.

sz_names <- hex$grid_id

colnames(DIST) <- paste0(sz_names)
rownames(DIST) <- paste0(sz_names)

We can then pivot the dataframe to form a table for easier referencing.

code chunk
distPair <- melt(DIST) %>%
  rename(DIST = value)
head(distPair, 10)
   Var1 Var2     DIST
1    23   23    0.000
2    44   23  750.000
3    46   23 3269.174
4    66   23 1500.000
5    67   23 2704.163
6    68   23 3968.627
7    86   23 1299.038
8    87   23 2250.000
9    88   23 3436.932
10   89   23 4683.748

Here we will substitute any distance of 0 with 50m as we will log our subsequent distance data, this will avoid log(0) errors.

code chunk
distPair %>%
  filter(DIST > 0) %>%
  summary()
      Var1           Var2           DIST      
 Min.   :  23   Min.   :  23   Min.   :  750  
 1st Qu.: 871   1st Qu.: 871   1st Qu.: 8250  
 Median :1326   Median :1326   Median :13269  
 Mean   :1270   Mean   :1270   Mean   :14135  
 3rd Qu.:1689   3rd Qu.:1689   3rd Qu.:18929  
 Max.   :2505   Max.   :2505   Max.   :44680  
code chunk
distPair$DIST <- ifelse(distPair$DIST == 0,
                        50, distPair$DIST)
distPair %>%
  summary()
      Var1           Var2           DIST      
 Min.   :  23   Min.   :  23   Min.   :   50  
 1st Qu.: 871   1st Qu.: 871   1st Qu.: 8250  
 Median :1326   Median :1326   Median :13269  
 Mean   :1270   Mean   :1270   Mean   :14118  
 3rd Qu.:1689   3rd Qu.:1689   3rd Qu.:18929  
 Max.   :2505   Max.   :2505   Max.   :44680  

We can then rename the column names.

code chunk
distPair <- distPair %>%
  rename(orig = Var1,
         dest = Var2)

We will reassign the variable name of the flow data for subsequent processing. We do this so as to avoid manipulating data that we do not want to modify and to rename it for better clarification.

code chunk
flow_data <- OD_weekdayPM

Here we will join the distance between grids and their respective origin-destination grid pairs. This will allow us to add the distances to the each origin-destination pair with the total number of trips made by that pair of grids.

code chunk
flow_data1 <- flow_data %>%
  left_join (distPair,
             by = c("ORIGIN_GRID" = "orig",
                    "DESTIN_GRID" = "dest"))

Plotting

code chunk
ggplot(data = flow_data1,
       aes(x = log(DIST),
           y = log(TRIPS))) +
  geom_point() +
  geom_smooth(method = lm)
`geom_smooth()` using formula = 'y ~ x'

We see that the graph shows an inverse relationship between trips and distance. This is expected as the further a place is, the less likely people would want to travel.

Attractive and propulsive factor processing

Here we will prepare the data into attractive and propulsive sections for clarity. To differentiate that we will use _A for each variable and _P for variables used for attractive and propulsive respectively. We will join them together later but we will keep them separate for now to prevent double merging when joining later.

hex_A <- hex
hex_P <- hex

Here we will assemble the attractive factors, which are the number of estimated HDB households, retail stores and MRT exits in each hexagon.

We will also be using the number of dwelling units as an estimation for the number of households staying in that HDB.

dwell_sf <- hdb_sf %>%
  select(13) 
datatable(dwell_sf)
Warning in instance$preRenderHook(instance): It seems your data is too big for
client-side DataTables. You may consider server-side processing:
https://rstudio.github.io/DT/server.html

Next we will join the number of households that belong to a grid with their respective grids. We will do this by first intersecting the household locations and their grid. These households will then be grouped together by their grid id using group_by() function and be summed up together as the overall household number in each grid. They will then be joined together with our hexagonal data.

hex_hdb<- st_intersection(hex_A, dwell_sf)%>%
  group_by(grid_id) %>%
  summarise(total_dwelling_units = sum(total_dwelling_units))%>%
  rename(DWELL_COUNT = total_dwelling_units) %>%
  st_drop_geometry()
Warning: attribute variables are assumed to be spatially constant throughout
all geometries
hex_A <- left_join(hex_A, hex_hdb) %>% 
  mutate(DWELL_COUNT = ifelse(is.na(DWELL_COUNT), 0, DWELL_COUNT))
Joining with `by = join_by(grid_id)`

Other information that we will include in our attractive factors include the number of retail outlets and MRT exits.

hex_A$retail_COUNT <- lengths(st_intersects(hex_A, retail_sf))  
hex_A$stn_exit_COUNT <- lengths(st_intersects(hex_A, stn_exit_sf))

We can look at the number of trips made to grids that contains HDBs. To do that we can first create grids with that contains HDBs. We will then check if the destination grid of our top 100 most popular trips have commonality with our grids that contains schools using left_join().

code chunk
hdb_grid <- hex_A%>%
  filter(DWELL_COUNT >0) %>%
  select(1,3) %>%
  rename(DESTIN_GRID = grid_id)%>%
  st_drop_geometry()

hdb_des <- left_join(top100, hdb_grid) %>%
  drop_na()
Joining with `by = join_by(DESTIN_GRID)`
code chunk
tmap_options(check.and.fix = TRUE)
tm_shape(mpsz)+  
  tm_polygons()+
  tm_shape(hex_A)+  
  
  tm_fill("DWELL_COUNT", 
          style = "pretty",
          palette = "Blues",
          title = "number of households") +
  tm_polygons()+
  
  
  tm_shape(hdb_sf)+ 
  tm_dots(alpha = 0.05)+
  
hdb_des %>%  

tm_shape() +
  tm_lines(lwd = "TRIPS",
           style = "quantile",
           scale = c(0,1,3,5,10),
           n = 6,
           alpha = 0.5)+
  tm_layout(main.title = "Common destination grid of top 100 trips and HDBs(Weekday 5pm to 9pm)",
            main.title.position = "center",
            main.title.size = 1.2,
            legend.height = 0.45, 
            legend.width = 0.35,
            frame = TRUE) +
  
  tm_compass(type="8star", size = 2) +
  tm_scale_bar() +
  tm_grid(alpha =0.2)
Warning: The shape mpsz is invalid. See sf::st_is_valid
Warning: One tm layer group has duplicated layer types, which are omitted. To
draw multiple layers of the same type, use multiple layer groups (i.e. specify
tm_shape prior to each of them).
Warning in g$scale * (w_legend/maxW): longer object length is not a multiple of
shorter object length
Warning in g$scale * (x/maxW): longer object length is not a multiple of
shorter object length
Legend labels were too wide. Therefore, legend.text.size has been set to 0.63. Increase legend.width (argument of tm_layout) to make the legend wider and therefore the labels larger.

We see a clusters of residential areas across Singapore. We can also see that most of the popular bus routes contains HDBs as their destination, this may mean that residential areas serves as a point of attraction since people are going back home in the evening.

code chunk
retail_grid <- hex_A %>%
  filter(retail_COUNT >0)%>%
  select(1,4) %>%
  rename(DESTIN_GRID = grid_id)%>%
  st_drop_geometry()

retail_des <- left_join(top100, retail_grid) %>%
  drop_na()
Joining with `by = join_by(DESTIN_GRID)`
code chunk
summary(retail_des$retail_COUNT)
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
   1.00   11.50   32.00   47.91   67.00  227.00 
code chunk
tmap_options(check.and.fix = TRUE)  
tm_shape(mpsz)+  #sg boundary
  tm_polygons()+
  tm_shape(hex_A)+  
  
  tm_fill("retail_COUNT", 
          style = "pretty", 
          palette = "Reds",
          title = "number of retail outlets") +
  tm_polygons()+
  
  
  tm_shape(retail_sf)+
  tm_dots(alpha = 0.5)+
  
retail_des %>%  

tm_shape() +
  tm_lines(lwd = "TRIPS",
           style = "quantile",
           scale = c(0,1,3,5,10),
           n = 6,
           alpha = 0.5)+
  tm_layout(main.title = "Common destination grid of top 100 trips and retails(Weekday 5pm to 9pm)",
            main.title.position = "center",
            main.title.size = 1.2,
            legend.height = 0.45, 
            legend.width = 0.35,
            frame = TRUE) +
  
  tm_compass(type="8star", size = 2) +
  tm_scale_bar() +
  tm_grid(alpha =0.2)
Warning: The shape mpsz is invalid. See sf::st_is_valid
Warning: One tm layer group has duplicated layer types, which are omitted. To
draw multiple layers of the same type, use multiple layer groups (i.e. specify
tm_shape prior to each of them).
Warning in g$scale * (w_legend/maxW): longer object length is not a multiple of
shorter object length
Legend labels were too wide. Therefore, legend.text.size has been set to 0.63. Increase legend.width (argument of tm_layout) to make the legend wider and therefore the labels larger.

From this data we can see that a retail outlets are generally quite widespread but can also be seen to cluster at the heartlands. Perhaps due to the widespread locations of retail outlets, we can see high commonality between the popular bus routes and retail locations.

code chunk
mrt_grid <- hex_A %>%
  filter(stn_exit_COUNT >0)%>%
  select(1,5) %>%
  rename(DESTIN_GRID = grid_id)%>%
  st_drop_geometry()

mrt_des <- left_join(top100, mrt_grid) %>%
  drop_na()
Joining with `by = join_by(DESTIN_GRID)`
code chunk
tmap_options(check.and.fix = TRUE)  
tm_shape(mpsz)+  #sg boundary
  tm_polygons()+
  tm_shape(hex_A)+ 
  
  tm_fill("stn_exit_COUNT", 
          style = "pretty",
          palette = "Greens",
          title = "number of MRT exits") +
  tm_polygons()+

    tm_shape(fin_sf)+  
  tm_dots(alpha = 0.1)+
  
mrt_des %>%  
 tm_shape() +
  tm_lines(lwd = "TRIPS",
           style = "quantile",
           scale = c(0,1,3,5,10),
           n = 6,
           alpha = 0.5)+
  tm_layout(main.title = "Common destination grid of top 100 trips and MRT exits(Weekday 5pm to 9pm)",
            main.title.position = "center",
            main.title.size = 1.2,
            legend.height = 0.45, 
            legend.width = 0.35,
            frame = TRUE) +
  
  tm_compass(type="8star", size = 2) +
  tm_scale_bar() +
  tm_grid(alpha =0.2)
Warning: The shape mpsz is invalid. See sf::st_is_valid
Warning: One tm layer group has duplicated layer types, which are omitted. To
draw multiple layers of the same type, use multiple layer groups (i.e. specify
tm_shape prior to each of them).
Warning in g$scale * (w_legend/maxW): longer object length is not a multiple of
shorter object length
Warning in g$scale * (x/maxW): longer object length is not a multiple of
shorter object length
Legend labels were too wide. Therefore, legend.text.size has been set to 0.54. Increase legend.width (argument of tm_layout) to make the legend wider and therefore the labels larger.

We can once again see that the heartlands contains the most number of MRT exits, this is likely from the number of larger train stations which services multiple lines, hence requiring more exits to prevent bottle-necking during rush hour. We see some commonality between train stations exits and our popular bus stop destinations.

We will match all of the number of schools, businesses and financial services to their respective grids.

hex_P$SCHOOL_COUNT <- lengths(st_intersects(hex_P, schools_sf))
hex_P$BIZ_COUNT <- lengths(st_intersects(hex_P, biz_sf))
hex_P$FIN_COUNT <- lengths(st_intersects(hex_P, fin_sf))
code chunk
tmap_options(check.and.fix = TRUE)  
tm_shape(mpsz)+  #sg boundary
  tm_polygons()+
  tm_shape(hex_P)+ 
  tm_polygons()+
  

    tm_shape(schools_sf)+  
  tm_dots(col = "blue", alpha = 0.5)+
  tm_shape(biz_sf)+  
  tm_dots(col = "red", alpha = 0.3)+
  tm_shape(fin_sf)+  
  tm_dots(col = "green", alpha = 0.1)+
  

  tm_layout(main.title = "Schools, businesses and mrt exits distribution",
            main.title.position = "center",
            main.title.size = 1.2,
            legend.height = 0.45, 
            legend.width = 0.35,
            
            frame = TRUE) +
  
  tm_compass(type="8star", size = 2) +
  tm_scale_bar() +
  tm_grid(alpha =0.2)
Warning: The shape mpsz is invalid. See sf::st_is_valid

To avoid over concentrating this page with maps, we will combine the distribution of schools, businesses and financial services together. We can see the distribution of schools, businesses and financial services dotted in blue, red and green respectively. We can see concentration of businesses in the industrialised zones and businesses in the heartland regions.

Model calibration

Flow data preparation

In this section we will prepare our data for subsequent model calibration.

Since the hex variable still contains geometry information, which will prevent us from joining the various school and business information with ridership using left_join, we will drop it.

code chunk
hex_A <- st_drop_geometry(hex_A)
hex_P <- st_drop_geometry(hex_P)

We can then join the school and business count information to the ridership using left_join. For attractive factors, we will join it by destination grid since the point of attractions are located in the destination grid. For propulsive factors, we will use origin grid since they are factors that will push us from the origin. We can take a look at what our flow data consists of using glimpse() function.

flow<- flow_data1 %>%
  left_join (hex_A,
             by = c("DESTIN_GRID" = "grid_id"))

flow<- flow %>%
  left_join (hex_P,
             by = c("ORIGIN_GRID" = "grid_id"))

glimpse(flow)
Rows: 67,842
Columns: 11
$ ORIGIN_GRID    <int> 23, 23, 23, 23, 23, 23, 23, 23, 44, 44, 44, 44, 44, 44,…
$ DESTIN_GRID    <int> 86, 88, 128, 132, 134, 150, 155, 175, 67, 88, 128, 132,…
$ TRIPS          <dbl> 3, 34, 182, 18, 6, 1, 1, 145, 2, 4, 3, 1, 28, 1, 75, 2,…
$ DIST           <dbl> 1299.038, 3436.932, 1984.313, 6139.015, 8649.422, 2598.…
$ DWELL_COUNT    <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ retail_COUNT   <int> 0, 5, 0, 3, 3, 0, 0, 2, 5, 5, 0, 3, 3, 3, 2, 5, 5, 3, 4…
$ stn_exit_COUNT <int> 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0…
$ SCHOOL_COUNT   <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ BIZ_COUNT      <int> 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4…
$ FIN_COUNT      <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ geometry       <LINESTRING [m]> LINESTRING (3970.122 27781...., LINESTRING (…

We see that some of our data contains 0 value and our grid names are in integer values. We will have to modify them before our modelling.

Since we will log the data for modelling, we will have to convert any 0 or NA value data amongst the different factors into a positive number that is less than 1. We will use 0.99.

code chunk
flow$DWELL_COUNT <- ifelse(
  is.na(flow$DWELL_COUNT) | flow$DWELL_COUNT == 0,
  0.99, flow$DWELL_COUNT)

flow$stn_exit_COUNT <- ifelse(
  is.na(flow$stn_exit_COUNT) | flow$stn_exit_COUNT == 0,
  0.99, flow$stn_exit_COUNT)

flow$retail_COUNT <- ifelse(
  is.na(flow$retail_COUNT) | flow$retail_COUNT == 0,
  0.99, flow$retail_COUNT)


flow$BIZ_COUNT <- ifelse(
  is.na(flow$BIZ_COUNT) | flow$BIZ_COUNT == 0,
  0.99, flow$BIZ_COUNT)

flow$SCHOOL_COUNT <- ifelse(
  is.na(flow$SCHOOL_COUNT) | flow$SCHOOL_COUNT == 0,
  0.99, flow$SCHOOL_COUNT)

flow$FIN_COUNT <- ifelse(
  is.na(flow$FIN_COUNT) | flow$FIN_COUNT == 0,
  0.99, flow$FIN_COUNT)

We will also have to convert the grid names of the origin and destination into characters. We have been using numerals for naming them which would be recognised as integers by R.

flow$ORIGIN_GRID <- as.character(flow$ORIGIN_GRID)
flow$DESTIN_GRID <- as.character(flow$DESTIN_GRID)
code chunk
flow$FlowNoIntra <- ifelse(
  flow$ORIGIN_GRID == flow$DESTIN_GRID, 0, flow$TRIPS)
flow$offset <- ifelse(
  flow$ORIGIN_GRID == flow$DESTIN_GRID, 0.000001, 1)

inter_zonal_flow <- flow %>%
  filter(FlowNoIntra > 0)

To make sure we are able to capture all of our output, we will adjust the maximum print length into a large integer.

options(max.print = 100000)

Goodness-of-fit

Goodness-of-fit refers to how well sample data is able to fit the curve. To calculate that we will first have to create our own R-squared function.

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

Modelling calibration

Here we will begin our actual modelling for our different factors.

The models that will be used today are known as spatial interaction models where flows between spatial entities are estimated. The models that we will be using are:

  • Origin constrained model
  • Destination constrained model
  • Unconstrained model
  • Doubly constrained model

The modelling will be done by using the glm() function from the stats package. It allows us to fit a generalised linear model, more information can be found here.

code chunk
orcSIM_Poisson <- glm(formula = TRIPS ~
                        ORIGIN_GRID + 
                          
                        log(DWELL_COUNT)+
                        log(retail_COUNT) +
                        log(stn_exit_COUNT)+
                        
                        log(DIST), 
                      family = poisson(link = "log"),
                      data = inter_zonal_flow,
                      na.action = na.exclude)

summary(orcSIM_Poisson)

Call:
glm(formula = TRIPS ~ ORIGIN_GRID + log(DWELL_COUNT) + log(retail_COUNT) + 
    log(stn_exit_COUNT) + log(DIST), family = poisson(link = "log"), 
    data = inter_zonal_flow, na.action = na.exclude)

Coefficients:
                      Estimate Std. Error   z value Pr(>|z|)    
(Intercept)          1.560e+01  2.029e-02   768.945  < 2e-16 ***
ORIGIN_GRID1003      2.176e+00  2.044e-02   106.480  < 2e-16 ***
ORIGIN_GRID1004      1.699e+00  2.065e-02    82.281  < 2e-16 ***
ORIGIN_GRID1011      2.105e-01  2.486e-02     8.469  < 2e-16 ***
ORIGIN_GRID1012      1.935e+00  2.086e-02    92.746  < 2e-16 ***
ORIGIN_GRID1013     -7.137e-02  2.216e-02    -3.220 0.001282 ** 
ORIGIN_GRID1014     -9.558e-01  2.463e-02   -38.806  < 2e-16 ***
ORIGIN_GRID1015      1.040e+00  2.090e-02    49.756  < 2e-16 ***
ORIGIN_GRID1016      1.269e+00  2.078e-02    61.056  < 2e-16 ***
ORIGIN_GRID1018      2.000e-01  2.394e-02     8.353  < 2e-16 ***
ORIGIN_GRID1019      1.152e+00  2.123e-02    54.262  < 2e-16 ***
ORIGIN_GRID1023     -4.500e-02  2.365e-02    -1.903 0.057073 .  
ORIGIN_GRID1024      8.208e-01  2.115e-02    38.812  < 2e-16 ***
ORIGIN_GRID1025     -1.728e+00  3.847e-02   -44.914  < 2e-16 ***
ORIGIN_GRID1033      9.121e-01  2.123e-02    42.964  < 2e-16 ***
ORIGIN_GRID1034      1.048e+00  2.081e-02    50.355  < 2e-16 ***
ORIGIN_GRID1035      1.203e+00  2.068e-02    58.188  < 2e-16 ***
ORIGIN_GRID1036      1.821e+00  2.050e-02    88.826  < 2e-16 ***
ORIGIN_GRID1037      7.990e-01  2.093e-02    38.179  < 2e-16 ***
ORIGIN_GRID1043      1.080e+00  2.299e-02    46.947  < 2e-16 ***
ORIGIN_GRID1045      8.904e-01  2.089e-02    42.624  < 2e-16 ***
ORIGIN_GRID1046      7.691e-01  2.126e-02    36.182  < 2e-16 ***
ORIGIN_GRID1053      1.345e+00  2.078e-02    64.705  < 2e-16 ***
ORIGIN_GRID1054      1.081e+00  2.081e-02    51.934  < 2e-16 ***
ORIGIN_GRID1055      3.200e-01  2.141e-02    14.942  < 2e-16 ***
ORIGIN_GRID1056     -2.186e-01  2.249e-02    -9.719  < 2e-16 ***
ORIGIN_GRID1064     -8.032e-01  6.615e-02   -12.142  < 2e-16 ***
ORIGIN_GRID1066      2.061e+00  2.043e-02   100.852  < 2e-16 ***
ORIGIN_GRID1067      1.145e+00  2.171e-02    52.730  < 2e-16 ***
ORIGIN_GRID1074     -8.034e-02  2.275e-02    -3.532 0.000413 ***
ORIGIN_GRID1075      1.089e+00  2.102e-02    51.822  < 2e-16 ***
ORIGIN_GRID1076      9.512e-02  2.149e-02     4.426 9.60e-06 ***
ORIGIN_GRID1077     -5.932e-01  2.358e-02   -25.155  < 2e-16 ***
ORIGIN_GRID1079      1.105e+00  2.087e-02    52.927  < 2e-16 ***
ORIGIN_GRID1085     -2.063e+00  8.184e-02   -25.211  < 2e-16 ***
ORIGIN_GRID1087      7.040e-01  2.138e-02    32.925  < 2e-16 ***
ORIGIN_GRID1088      2.797e-01  2.203e-02    12.695  < 2e-16 ***
ORIGIN_GRID109       9.270e-02  4.043e-02     2.293 0.021862 *  
ORIGIN_GRID1094     -1.477e+00  5.040e-02   -29.315  < 2e-16 ***
ORIGIN_GRID1095      5.967e-01  2.430e-02    24.557  < 2e-16 ***
ORIGIN_GRID1096      4.061e-01  2.348e-02    17.297  < 2e-16 ***
ORIGIN_GRID1097      1.350e+00  2.051e-02    65.798  < 2e-16 ***
ORIGIN_GRID1098     -1.339e+00  2.913e-02   -45.978  < 2e-16 ***
ORIGIN_GRID1099      3.215e-01  2.157e-02    14.904  < 2e-16 ***
ORIGIN_GRID110       8.067e-01  3.362e-02    23.993  < 2e-16 ***
ORIGIN_GRID1105      2.069e+00  2.200e-02    94.050  < 2e-16 ***
ORIGIN_GRID1106     -3.337e+00  1.556e-01   -21.443  < 2e-16 ***
ORIGIN_GRID1107     -9.352e-02  2.535e-02    -3.689 0.000225 ***
ORIGIN_GRID1108      3.225e+00  2.025e-02   159.269  < 2e-16 ***
ORIGIN_GRID1109     -5.254e-01  2.843e-02   -18.481  < 2e-16 ***
ORIGIN_GRID111       1.729e+00  2.316e-02    74.673  < 2e-16 ***
ORIGIN_GRID1116      4.533e-01  2.170e-02    20.890  < 2e-16 ***
ORIGIN_GRID1117      6.047e-01  2.146e-02    28.171  < 2e-16 ***
ORIGIN_GRID1118     -1.372e+00  2.764e-02   -49.623  < 2e-16 ***
ORIGIN_GRID1119      1.125e-01  2.154e-02     5.223 1.76e-07 ***
ORIGIN_GRID112      -4.280e-01  3.794e-02   -11.280  < 2e-16 ***
ORIGIN_GRID1120     -7.152e-01  2.601e-02   -27.500  < 2e-16 ***
ORIGIN_GRID1129      4.939e-01  2.139e-02    23.094  < 2e-16 ***
ORIGIN_GRID1130      9.663e-01  2.092e-02    46.198  < 2e-16 ***
ORIGIN_GRID1131      2.254e+00  2.091e-02   107.791  < 2e-16 ***
ORIGIN_GRID1136      1.488e+00  2.072e-02    71.810  < 2e-16 ***
ORIGIN_GRID1138     -1.008e+00  2.713e-02   -37.144  < 2e-16 ***
ORIGIN_GRID1139      1.792e-01  2.118e-02     8.458  < 2e-16 ***
ORIGIN_GRID1141      7.594e-01  2.107e-02    36.033  < 2e-16 ***
ORIGIN_GRID1148     -3.267e-01  3.276e-02    -9.970  < 2e-16 ***
ORIGIN_GRID1149      9.182e-01  2.184e-02    42.050  < 2e-16 ***
ORIGIN_GRID1150      7.228e-01  2.092e-02    34.558  < 2e-16 ***
ORIGIN_GRID1151      8.027e-01  2.131e-02    37.675  < 2e-16 ***
ORIGIN_GRID1158     -5.397e-01  2.296e-02   -23.507  < 2e-16 ***
ORIGIN_GRID1159      1.115e-01  2.129e-02     5.237 1.63e-07 ***
ORIGIN_GRID1160      1.093e+00  2.057e-02    53.130  < 2e-16 ***
ORIGIN_GRID1171      1.101e+00  2.088e-02    52.759  < 2e-16 ***
ORIGIN_GRID1172      2.095e+00  2.041e-02   102.633  < 2e-16 ***
ORIGIN_GRID1173      1.230e+00  2.113e-02    58.236  < 2e-16 ***
ORIGIN_GRID1174     -1.597e+00  6.210e-02   -25.718  < 2e-16 ***
ORIGIN_GRID1178      1.666e+00  2.048e-02    81.353  < 2e-16 ***
ORIGIN_GRID1179      7.276e-01  2.078e-02    35.018  < 2e-16 ***
ORIGIN_GRID1180      7.227e-01  2.072e-02    34.874  < 2e-16 ***
ORIGIN_GRID1181     -3.087e-01  2.185e-02   -14.124  < 2e-16 ***
ORIGIN_GRID1183      4.279e-01  2.151e-02    19.889  < 2e-16 ***
ORIGIN_GRID1190     -8.619e-01  4.041e-02   -21.327  < 2e-16 ***
ORIGIN_GRID1192      1.316e+00  2.086e-02    63.106  < 2e-16 ***
ORIGIN_GRID1193      1.106e+00  2.090e-02    52.905  < 2e-16 ***
ORIGIN_GRID1194      1.625e+00  2.099e-02    77.443  < 2e-16 ***
ORIGIN_GRID1200      2.032e-01  2.148e-02     9.459  < 2e-16 ***
ORIGIN_GRID1201      3.922e-01  2.106e-02    18.624  < 2e-16 ***
ORIGIN_GRID1203      2.967e-01  2.142e-02    13.852  < 2e-16 ***
ORIGIN_GRID1204     -2.547e-02  2.209e-02    -1.153 0.248975    
ORIGIN_GRID1211     -1.013e+00  5.451e-02   -18.581  < 2e-16 ***
ORIGIN_GRID1214      6.820e-01  2.117e-02    32.221  < 2e-16 ***
ORIGIN_GRID1215      1.483e+00  2.229e-02    66.531  < 2e-16 ***
ORIGIN_GRID1216      1.103e+00  2.264e-02    48.696  < 2e-16 ***
ORIGIN_GRID1220      5.682e-01  2.100e-02    27.051  < 2e-16 ***
ORIGIN_GRID1221      1.072e+00  2.057e-02    52.146  < 2e-16 ***
ORIGIN_GRID1222     -2.096e-01  2.395e-02    -8.754  < 2e-16 ***
ORIGIN_GRID1223     -6.829e-01  2.358e-02   -28.960  < 2e-16 ***
ORIGIN_GRID1224      6.401e-02  2.191e-02     2.921 0.003487 ** 
ORIGIN_GRID1231     -1.477e+00  5.624e-02   -26.257  < 2e-16 ***
ORIGIN_GRID1232     -4.572e-01  4.099e-02   -11.156  < 2e-16 ***
ORIGIN_GRID1235      6.194e-01  2.125e-02    29.144  < 2e-16 ***
ORIGIN_GRID1236      6.178e-01  2.197e-02    28.119  < 2e-16 ***
ORIGIN_GRID1241     -8.272e-01  2.378e-02   -34.786  < 2e-16 ***
ORIGIN_GRID1242     -1.933e-01  2.176e-02    -8.885  < 2e-16 ***
ORIGIN_GRID1243      5.631e-01  2.083e-02    27.036  < 2e-16 ***
ORIGIN_GRID1246      2.447e-01  2.149e-02    11.384  < 2e-16 ***
ORIGIN_GRID1256      1.557e-01  2.198e-02     7.086 1.38e-12 ***
ORIGIN_GRID1257      1.149e+00  2.110e-02    54.443  < 2e-16 ***
ORIGIN_GRID1258      1.702e+00  2.101e-02    81.017  < 2e-16 ***
ORIGIN_GRID1262     -8.759e-01  2.381e-02   -36.792  < 2e-16 ***
ORIGIN_GRID1263      1.286e+00  2.046e-02    62.862  < 2e-16 ***
ORIGIN_GRID1264      6.784e-02  2.182e-02     3.109 0.001876 ** 
ORIGIN_GRID1265     -3.583e-01  2.290e-02   -15.643  < 2e-16 ***
ORIGIN_GRID1266      4.578e-01  2.142e-02    21.377  < 2e-16 ***
ORIGIN_GRID1267     -7.568e-01  2.653e-02   -28.524  < 2e-16 ***
ORIGIN_GRID1272     -3.510e+00  1.046e-01   -33.564  < 2e-16 ***
ORIGIN_GRID1273      1.003e+00  2.156e-02    46.548  < 2e-16 ***
ORIGIN_GRID1277      1.420e+00  2.061e-02    68.917  < 2e-16 ***
ORIGIN_GRID1278      7.729e-01  2.131e-02    36.267  < 2e-16 ***
ORIGIN_GRID128       7.431e-01  3.267e-02    22.749  < 2e-16 ***
ORIGIN_GRID1283      2.148e+00  2.036e-02   105.486  < 2e-16 ***
ORIGIN_GRID1284      1.125e+00  2.057e-02    54.675  < 2e-16 ***
ORIGIN_GRID1285      9.529e-01  2.061e-02    46.240  < 2e-16 ***
ORIGIN_GRID1286      3.619e-01  2.177e-02    16.621  < 2e-16 ***
ORIGIN_GRID1289     -1.543e+00  3.699e-02   -41.725  < 2e-16 ***
ORIGIN_GRID129      -4.046e-03  7.953e-02    -0.051 0.959430    
ORIGIN_GRID1293     -1.397e+00  3.776e-02   -36.999  < 2e-16 ***
ORIGIN_GRID1294      1.099e+00  2.150e-02    51.120  < 2e-16 ***
ORIGIN_GRID1295     -9.595e-01  2.885e-02   -33.253  < 2e-16 ***
ORIGIN_GRID1298      2.111e-01  2.169e-02     9.735  < 2e-16 ***
ORIGIN_GRID1299      4.878e-01  2.217e-02    22.002  < 2e-16 ***
ORIGIN_GRID130       9.592e-01  2.943e-02    32.593  < 2e-16 ***
ORIGIN_GRID1304      6.958e-01  2.089e-02    33.301  < 2e-16 ***
ORIGIN_GRID1305      7.531e-01  2.061e-02    36.545  < 2e-16 ***
ORIGIN_GRID1307     -1.431e+00  3.167e-02   -45.173  < 2e-16 ***
ORIGIN_GRID1308      1.147e+00  2.071e-02    55.388  < 2e-16 ***
ORIGIN_GRID131       3.980e-01  2.849e-02    13.972  < 2e-16 ***
ORIGIN_GRID1310     -4.132e+00  1.575e-01   -26.240  < 2e-16 ***
ORIGIN_GRID1316     -8.867e-01  2.693e-02   -32.921  < 2e-16 ***
ORIGIN_GRID1317     -5.370e-01  2.354e-02   -22.814  < 2e-16 ***
ORIGIN_GRID1318     -1.350e+00  2.753e-02   -49.028  < 2e-16 ***
ORIGIN_GRID1319      2.018e+00  2.043e-02    98.757  < 2e-16 ***
ORIGIN_GRID132       6.091e-01  2.764e-02    22.038  < 2e-16 ***
ORIGIN_GRID1320      1.207e-01  2.301e-02     5.245 1.56e-07 ***
ORIGIN_GRID1325     -6.350e-01  2.305e-02   -27.542  < 2e-16 ***
ORIGIN_GRID1326      6.854e-01  2.070e-02    33.111  < 2e-16 ***
ORIGIN_GRID1327      4.915e-01  2.081e-02    23.622  < 2e-16 ***
ORIGIN_GRID1328      5.579e-01  2.102e-02    26.537  < 2e-16 ***
ORIGIN_GRID1329      4.941e-01  2.199e-02    22.468  < 2e-16 ***
ORIGIN_GRID133       8.044e-01  2.500e-02    32.177  < 2e-16 ***
ORIGIN_GRID1330     -2.429e-01  2.402e-02   -10.112  < 2e-16 ***
ORIGIN_GRID1331     -3.971e+00  2.095e-01   -18.954  < 2e-16 ***
ORIGIN_GRID1333     -1.062e+00  2.595e-02   -40.932  < 2e-16 ***
ORIGIN_GRID1334     -4.091e-01  2.386e-02   -17.143  < 2e-16 ***
ORIGIN_GRID1335      1.370e+00  2.104e-02    65.093  < 2e-16 ***
ORIGIN_GRID1336     -2.850e+00  8.385e-02   -33.987  < 2e-16 ***
ORIGIN_GRID1337     -2.084e+00  3.832e-02   -54.378  < 2e-16 ***
ORIGIN_GRID1338     -1.843e+00  3.109e-02   -59.271  < 2e-16 ***
ORIGIN_GRID1339      1.455e+00  2.057e-02    70.740  < 2e-16 ***
ORIGIN_GRID134      -5.880e-01  5.009e-02   -11.740  < 2e-16 ***
ORIGIN_GRID1340      4.956e-01  2.162e-02    22.922  < 2e-16 ***
ORIGIN_GRID1341     -3.498e+00  2.508e-01   -13.948  < 2e-16 ***
ORIGIN_GRID1346      2.731e-01  2.145e-02    12.731  < 2e-16 ***
ORIGIN_GRID1347      1.529e+00  2.042e-02    74.854  < 2e-16 ***
ORIGIN_GRID1348      2.247e-01  2.099e-02    10.703  < 2e-16 ***
ORIGIN_GRID1349      1.593e+00  2.053e-02    77.563  < 2e-16 ***
ORIGIN_GRID1350     -3.512e-01  2.496e-02   -14.068  < 2e-16 ***
ORIGIN_GRID1353      2.154e-01  2.137e-02    10.082  < 2e-16 ***
ORIGIN_GRID1354     -9.065e-01  2.437e-02   -37.195  < 2e-16 ***
ORIGIN_GRID1355     -1.545e-01  2.253e-02    -6.859 6.92e-12 ***
ORIGIN_GRID1357     -8.827e-01  2.785e-02   -31.693  < 2e-16 ***
ORIGIN_GRID1358      3.856e-01  2.133e-02    18.074  < 2e-16 ***
ORIGIN_GRID1359      3.088e-01  2.133e-02    14.481  < 2e-16 ***
ORIGIN_GRID1360      1.691e-01  2.149e-02     7.869 3.59e-15 ***
ORIGIN_GRID1361      8.539e-01  2.130e-02    40.095  < 2e-16 ***
ORIGIN_GRID1362     -1.304e+00  3.869e-02   -33.698  < 2e-16 ***
ORIGIN_GRID1368     -6.264e-01  2.188e-02   -28.635  < 2e-16 ***
ORIGIN_GRID1369     -5.474e-01  2.181e-02   -25.104  < 2e-16 ***
ORIGIN_GRID1370      1.546e+00  2.042e-02    75.703  < 2e-16 ***
ORIGIN_GRID1371      2.977e-01  2.206e-02    13.494  < 2e-16 ***
ORIGIN_GRID1372     -1.921e-01  2.233e-02    -8.604  < 2e-16 ***
ORIGIN_GRID1373     -2.415e+00  4.141e-02   -58.306  < 2e-16 ***
ORIGIN_GRID1374     -1.145e+00  2.409e-02   -47.504  < 2e-16 ***
ORIGIN_GRID1375      2.904e-01  2.200e-02    13.202  < 2e-16 ***
ORIGIN_GRID1376     -9.827e-01  2.613e-02   -37.616  < 2e-16 ***
ORIGIN_GRID1379     -2.404e+00  4.750e-02   -50.610  < 2e-16 ***
ORIGIN_GRID1380      2.277e+00  2.032e-02   112.035  < 2e-16 ***
ORIGIN_GRID1381      1.977e+00  2.038e-02    97.038  < 2e-16 ***
ORIGIN_GRID1382      1.476e+00  2.079e-02    70.997  < 2e-16 ***
ORIGIN_GRID1383     -1.553e+00  3.375e-02   -46.007  < 2e-16 ***
ORIGIN_GRID1388      1.294e-01  2.106e-02     6.145 8.00e-10 ***
ORIGIN_GRID1389     -4.146e-01  2.146e-02   -19.316  < 2e-16 ***
ORIGIN_GRID1390      1.619e-01  2.111e-02     7.669 1.73e-14 ***
ORIGIN_GRID1391      5.924e-01  2.107e-02    28.117  < 2e-16 ***
ORIGIN_GRID1392     -9.441e-02  2.464e-02    -3.832 0.000127 ***
ORIGIN_GRID1393     -8.510e-01  2.331e-02   -36.512  < 2e-16 ***
ORIGIN_GRID1394      2.195e-01  2.110e-02    10.403  < 2e-16 ***
ORIGIN_GRID1395      1.232e-01  2.117e-02     5.821 5.85e-09 ***
ORIGIN_GRID1396      6.256e-01  2.090e-02    29.936  < 2e-16 ***
ORIGIN_GRID1397     -6.316e-02  2.185e-02    -2.891 0.003841 ** 
ORIGIN_GRID1398     -3.385e-01  2.415e-02   -14.017  < 2e-16 ***
ORIGIN_GRID1400     -4.168e-01  2.356e-02   -17.689  < 2e-16 ***
ORIGIN_GRID1401      1.266e+00  2.051e-02    61.726  < 2e-16 ***
ORIGIN_GRID1402      7.037e-01  2.095e-02    33.598  < 2e-16 ***
ORIGIN_GRID1404      7.159e-01  2.762e-02    25.924  < 2e-16 ***
ORIGIN_GRID1410      8.299e-01  2.055e-02    40.386  < 2e-16 ***
ORIGIN_GRID1411     -7.306e-02  2.123e-02    -3.442 0.000578 ***
ORIGIN_GRID1412      1.477e+00  2.041e-02    72.371  < 2e-16 ***
ORIGIN_GRID1413      9.725e-01  2.069e-02    47.005  < 2e-16 ***
ORIGIN_GRID1414      1.086e-01  2.109e-02     5.149 2.62e-07 ***
ORIGIN_GRID1415      3.314e-01  2.108e-02    15.723  < 2e-16 ***
ORIGIN_GRID1416      1.487e-01  2.132e-02     6.977 3.01e-12 ***
ORIGIN_GRID1417      2.443e-01  2.099e-02    11.641  < 2e-16 ***
ORIGIN_GRID1418      2.900e-01  2.114e-02    13.723  < 2e-16 ***
ORIGIN_GRID1419      2.292e-01  2.147e-02    10.675  < 2e-16 ***
ORIGIN_GRID1422      3.427e-01  2.149e-02    15.948  < 2e-16 ***
ORIGIN_GRID1423      1.474e+00  2.060e-02    71.568  < 2e-16 ***
ORIGIN_GRID1430      6.866e-01  2.071e-02    33.148  < 2e-16 ***
ORIGIN_GRID1431      1.501e+00  2.037e-02    73.672  < 2e-16 ***
ORIGIN_GRID1432      8.687e-01  2.053e-02    42.312  < 2e-16 ***
ORIGIN_GRID1433      3.550e-01  2.169e-02    16.372  < 2e-16 ***
ORIGIN_GRID1434      1.187e+00  2.054e-02    57.772  < 2e-16 ***
ORIGIN_GRID1435      6.241e-01  2.073e-02    30.100  < 2e-16 ***
ORIGIN_GRID1436     -1.184e+00  2.486e-02   -47.616  < 2e-16 ***
ORIGIN_GRID1437      3.165e-01  2.104e-02    15.046  < 2e-16 ***
ORIGIN_GRID1438      8.425e-01  2.057e-02    40.962  < 2e-16 ***
ORIGIN_GRID1439      1.356e+00  2.049e-02    66.188  < 2e-16 ***
ORIGIN_GRID1440      1.063e+00  2.091e-02    50.808  < 2e-16 ***
ORIGIN_GRID1442     -3.159e-01  2.336e-02   -13.521  < 2e-16 ***
ORIGIN_GRID1443      9.181e-01  2.091e-02    43.905  < 2e-16 ***
ORIGIN_GRID1444      1.625e+00  2.098e-02    77.427  < 2e-16 ***
ORIGIN_GRID1452      1.251e+00  2.044e-02    61.193  < 2e-16 ***
ORIGIN_GRID1453      6.596e-01  2.064e-02    31.965  < 2e-16 ***
ORIGIN_GRID1454      4.434e-02  2.174e-02     2.039 0.041429 *  
ORIGIN_GRID1455     -9.356e-02  2.159e-02    -4.333 1.47e-05 ***
ORIGIN_GRID1456      6.826e-01  2.081e-02    32.800  < 2e-16 ***
ORIGIN_GRID1457      7.521e-01  2.070e-02    36.338  < 2e-16 ***
ORIGIN_GRID1458      1.960e+00  2.033e-02    96.441  < 2e-16 ***
ORIGIN_GRID1459     -1.307e-01  2.135e-02    -6.123 9.18e-10 ***
ORIGIN_GRID1460      3.752e-01  2.088e-02    17.975  < 2e-16 ***
ORIGIN_GRID1461      4.398e-01  2.144e-02    20.516  < 2e-16 ***
ORIGIN_GRID1464      9.038e-01  2.100e-02    43.047  < 2e-16 ***
ORIGIN_GRID1465      6.091e-01  2.167e-02    28.102  < 2e-16 ***
ORIGIN_GRID1472     -5.356e-01  2.211e-02   -24.230  < 2e-16 ***
ORIGIN_GRID1473      7.981e-01  2.058e-02    38.781  < 2e-16 ***
ORIGIN_GRID1474      1.304e+00  2.040e-02    63.937  < 2e-16 ***
ORIGIN_GRID1475      1.372e+00  2.044e-02    67.118  < 2e-16 ***
ORIGIN_GRID1476      3.374e-01  2.117e-02    15.935  < 2e-16 ***
ORIGIN_GRID1477      2.188e+00  2.028e-02   107.865  < 2e-16 ***
ORIGIN_GRID1478      6.319e-02  2.110e-02     2.994 0.002751 ** 
ORIGIN_GRID1479     -3.440e-01  2.156e-02   -15.952  < 2e-16 ***
ORIGIN_GRID1480      2.406e+00  2.027e-02   118.687  < 2e-16 ***
ORIGIN_GRID1481      3.207e-01  2.125e-02    15.097  < 2e-16 ***
ORIGIN_GRID1482      1.292e+00  2.092e-02    61.738  < 2e-16 ***
ORIGIN_GRID1485      3.712e-01  2.183e-02    17.003  < 2e-16 ***
ORIGIN_GRID1494      6.541e-01  2.099e-02    31.161  < 2e-16 ***
ORIGIN_GRID1495      4.251e-01  2.074e-02    20.501  < 2e-16 ***
ORIGIN_GRID1496      1.382e+00  2.038e-02    67.827  < 2e-16 ***
ORIGIN_GRID1497      8.104e-01  2.071e-02    39.139  < 2e-16 ***
ORIGIN_GRID1498      6.023e-01  2.077e-02    28.996  < 2e-16 ***
ORIGIN_GRID1499      5.844e-01  2.072e-02    28.208  < 2e-16 ***
ORIGIN_GRID150       1.243e+00  2.906e-02    42.771  < 2e-16 ***
ORIGIN_GRID1500      2.504e-01  2.179e-02    11.493  < 2e-16 ***
ORIGIN_GRID1501      8.206e-01  2.062e-02    39.790  < 2e-16 ***
ORIGIN_GRID1502      9.040e-01  2.066e-02    43.765  < 2e-16 ***
ORIGIN_GRID1506     -3.654e+00  9.033e-02   -40.449  < 2e-16 ***
ORIGIN_GRID151       8.115e-01  3.804e-02    21.332  < 2e-16 ***
ORIGIN_GRID1515      8.068e-01  2.108e-02    38.262  < 2e-16 ***
ORIGIN_GRID1516      1.140e+00  2.047e-02    55.709  < 2e-16 ***
ORIGIN_GRID1517      1.329e-01  2.111e-02     6.296 3.05e-10 ***
ORIGIN_GRID1518     -1.414e-01  2.168e-02    -6.522 6.93e-11 ***
ORIGIN_GRID1519      5.145e-01  2.143e-02    24.004  < 2e-16 ***
ORIGIN_GRID152       6.053e-01  3.442e-02    17.586  < 2e-16 ***
ORIGIN_GRID1520      4.965e-01  2.083e-02    23.832  < 2e-16 ***
ORIGIN_GRID1521     -1.288e-01  2.163e-02    -5.956 2.59e-09 ***
ORIGIN_GRID1522      6.122e-01  2.081e-02    29.418  < 2e-16 ***
ORIGIN_GRID1523      1.202e+00  2.160e-02    55.640  < 2e-16 ***
ORIGIN_GRID1524     -1.294e-01  2.315e-02    -5.589 2.29e-08 ***
ORIGIN_GRID1527     -1.691e+00  3.576e-02   -47.289  < 2e-16 ***
ORIGIN_GRID153       8.853e-01  2.524e-02    35.071  < 2e-16 ***
ORIGIN_GRID1535     -8.974e-01  4.049e-02   -22.163  < 2e-16 ***
ORIGIN_GRID1536     -7.977e-02  2.320e-02    -3.438 0.000586 ***
ORIGIN_GRID1537      4.479e-01  2.098e-02    21.352  < 2e-16 ***
ORIGIN_GRID1538      6.872e-01  2.059e-02    33.382  < 2e-16 ***
ORIGIN_GRID1539      6.392e-01  2.060e-02    31.035  < 2e-16 ***
ORIGIN_GRID154       1.089e+00  2.290e-02    47.526  < 2e-16 ***
ORIGIN_GRID1540      1.304e-01  2.107e-02     6.188 6.09e-10 ***
ORIGIN_GRID1541      1.399e+00  2.106e-02    66.419  < 2e-16 ***
ORIGIN_GRID1542     -3.546e-01  2.312e-02   -15.338  < 2e-16 ***
ORIGIN_GRID1543     -3.560e-01  3.271e-02   -10.883  < 2e-16 ***
ORIGIN_GRID1544      3.874e-01  2.157e-02    17.958  < 2e-16 ***
ORIGIN_GRID1547     -1.469e-01  2.498e-02    -5.879 4.14e-09 ***
ORIGIN_GRID155      -1.550e+00  4.617e-02   -33.577  < 2e-16 ***
ORIGIN_GRID1556     -1.855e+00  5.249e-02   -35.344  < 2e-16 ***
ORIGIN_GRID1557      2.100e-01  2.251e-02     9.327  < 2e-16 ***
ORIGIN_GRID1558     -9.355e-01  2.694e-02   -34.727  < 2e-16 ***
ORIGIN_GRID1559      8.632e-01  2.052e-02    42.067  < 2e-16 ***
ORIGIN_GRID156       1.084e+00  3.226e-02    33.610  < 2e-16 ***
ORIGIN_GRID1560      1.046e+00  2.050e-02    51.049  < 2e-16 ***
ORIGIN_GRID1561      5.007e-01  2.120e-02    23.620  < 2e-16 ***
ORIGIN_GRID1562     -1.734e+00  2.808e-02   -61.755  < 2e-16 ***
ORIGIN_GRID1563     -3.712e-01  2.189e-02   -16.958  < 2e-16 ***
ORIGIN_GRID1564     -2.378e-01  2.217e-02   -10.725  < 2e-16 ***
ORIGIN_GRID1565      3.838e-01  2.132e-02    18.007  < 2e-16 ***
ORIGIN_GRID1566     -9.625e-01  2.606e-02   -36.929  < 2e-16 ***
ORIGIN_GRID1567     -9.670e-01  3.073e-02   -31.472  < 2e-16 ***
ORIGIN_GRID1568      1.702e-01  2.422e-02     7.026 2.13e-12 ***
ORIGIN_GRID1578     -4.323e+00  2.010e-01   -21.505  < 2e-16 ***
ORIGIN_GRID1580     -7.279e-01  2.507e-02   -29.036  < 2e-16 ***
ORIGIN_GRID1581      4.006e-01  2.082e-02    19.242  < 2e-16 ***
ORIGIN_GRID1582      8.663e-01  2.053e-02    42.186  < 2e-16 ***
ORIGIN_GRID1583     -1.028e+00  3.304e-02   -31.098  < 2e-16 ***
ORIGIN_GRID1584     -8.491e-01  2.385e-02   -35.598  < 2e-16 ***
ORIGIN_GRID1585      4.399e-01  2.132e-02    20.636  < 2e-16 ***
ORIGIN_GRID1586      9.051e-01  2.082e-02    43.473  < 2e-16 ***
ORIGIN_GRID1589     -6.941e-01  2.606e-02   -26.631  < 2e-16 ***
ORIGIN_GRID1590      1.851e-01  2.446e-02     7.568 3.80e-14 ***
ORIGIN_GRID1600      5.333e-01  2.353e-02    22.664  < 2e-16 ***
ORIGIN_GRID1601      3.277e-01  2.081e-02    15.748  < 2e-16 ***
ORIGIN_GRID1602      3.743e-01  2.108e-02    17.755  < 2e-16 ***
ORIGIN_GRID1603      1.034e+00  2.057e-02    50.267  < 2e-16 ***
ORIGIN_GRID1604     -5.919e-01  2.211e-02   -26.765  < 2e-16 ***
ORIGIN_GRID1605      5.425e-01  2.080e-02    26.079  < 2e-16 ***
ORIGIN_GRID1606     -6.868e-02  2.419e-02    -2.839 0.004519 ** 
ORIGIN_GRID1607      1.120e+00  2.063e-02    54.312  < 2e-16 ***
ORIGIN_GRID1608      6.834e-01  2.093e-02    32.647  < 2e-16 ***
ORIGIN_GRID1609      1.149e+00  2.081e-02    55.217  < 2e-16 ***
ORIGIN_GRID1610     -7.588e-01  3.412e-02   -22.238  < 2e-16 ***
ORIGIN_GRID1622      9.383e-01  2.298e-02    40.828  < 2e-16 ***
ORIGIN_GRID1623      7.420e-01  2.059e-02    36.043  < 2e-16 ***
ORIGIN_GRID1624      1.297e+00  2.052e-02    63.196  < 2e-16 ***
ORIGIN_GRID1625      8.889e-01  2.072e-02    42.896  < 2e-16 ***
ORIGIN_GRID1626      2.585e+00  2.027e-02   127.571  < 2e-16 ***
ORIGIN_GRID1627     -5.467e-01  2.207e-02   -24.768  < 2e-16 ***
ORIGIN_GRID1628      1.586e+00  2.043e-02    77.645  < 2e-16 ***
ORIGIN_GRID1629     -6.487e-01  2.331e-02   -27.828  < 2e-16 ***
ORIGIN_GRID1630     -2.548e-01  2.257e-02   -11.292  < 2e-16 ***
ORIGIN_GRID1631     -1.016e+00  2.910e-02   -34.905  < 2e-16 ***
ORIGIN_GRID1642     -1.312e+00  3.310e-02   -39.653  < 2e-16 ***
ORIGIN_GRID1643      4.641e-01  2.075e-02    22.363  < 2e-16 ***
ORIGIN_GRID1644     -4.078e-01  2.306e-02   -17.680  < 2e-16 ***
ORIGIN_GRID1645      2.824e-01  2.105e-02    13.418  < 2e-16 ***
ORIGIN_GRID1646      3.472e-01  2.170e-02    15.996  < 2e-16 ***
ORIGIN_GRID1647      2.390e-01  2.095e-02    11.405  < 2e-16 ***
ORIGIN_GRID1648      3.136e-01  2.098e-02    14.949  < 2e-16 ***
ORIGIN_GRID1649      1.188e+00  2.053e-02    57.876  < 2e-16 ***
ORIGIN_GRID1650      5.165e-01  2.121e-02    24.351  < 2e-16 ***
ORIGIN_GRID1664     -2.063e+00  6.370e-02   -32.389  < 2e-16 ***
ORIGIN_GRID1665      1.029e+00  2.050e-02    50.173  < 2e-16 ***
ORIGIN_GRID1666      7.527e-01  2.061e-02    36.512  < 2e-16 ***
ORIGIN_GRID1667      4.865e-01  2.323e-02    20.940  < 2e-16 ***
ORIGIN_GRID1668      2.011e-01  2.111e-02     9.526  < 2e-16 ***
ORIGIN_GRID1670      8.899e-01  2.064e-02    43.114  < 2e-16 ***
ORIGIN_GRID1671      1.066e+00  2.171e-02    49.094  < 2e-16 ***
ORIGIN_GRID1672      2.851e-02  2.227e-02     1.280 0.200528    
ORIGIN_GRID1684      1.464e-01  2.352e-02     6.225 4.82e-10 ***
ORIGIN_GRID1685      4.075e-01  2.103e-02    19.381  < 2e-16 ***
ORIGIN_GRID1686      9.421e-03  2.114e-02     0.446 0.655923    
ORIGIN_GRID1687      6.445e-01  2.116e-02    30.464  < 2e-16 ***
ORIGIN_GRID1688      2.633e-01  2.114e-02    12.453  < 2e-16 ***
ORIGIN_GRID1689     -9.914e-01  2.393e-02   -41.419  < 2e-16 ***
ORIGIN_GRID1690     -6.387e-01  2.329e-02   -27.427  < 2e-16 ***
ORIGIN_GRID1691      7.446e-01  2.078e-02    35.836  < 2e-16 ***
ORIGIN_GRID1692     -7.638e-01  2.378e-02   -32.118  < 2e-16 ***
ORIGIN_GRID1706      3.743e-01  2.143e-02    17.463  < 2e-16 ***
ORIGIN_GRID1707     -1.214e-01  2.119e-02    -5.731 9.98e-09 ***
ORIGIN_GRID1708      7.192e-01  2.073e-02    34.699  < 2e-16 ***
ORIGIN_GRID1709      1.026e+00  2.063e-02    49.733  < 2e-16 ***
ORIGIN_GRID1710      8.396e-01  2.078e-02    40.408  < 2e-16 ***
ORIGIN_GRID1711      1.618e+00  2.045e-02    79.126  < 2e-16 ***
ORIGIN_GRID1712      8.329e-01  2.061e-02    40.414  < 2e-16 ***
ORIGIN_GRID1713     -1.527e+00  2.568e-02   -59.463  < 2e-16 ***
ORIGIN_GRID1714      5.286e-01  2.116e-02    24.988  < 2e-16 ***
ORIGIN_GRID172       9.612e-01  4.510e-02    21.314  < 2e-16 ***
ORIGIN_GRID1727      5.675e-01  2.099e-02    27.038  < 2e-16 ***
ORIGIN_GRID1728      1.396e+00  2.043e-02    68.312  < 2e-16 ***
ORIGIN_GRID1729      9.258e-01  2.061e-02    44.929  < 2e-16 ***
ORIGIN_GRID1730     -4.886e-01  2.314e-02   -21.113  < 2e-16 ***
ORIGIN_GRID1731      7.282e-01  2.084e-02    34.953  < 2e-16 ***
ORIGIN_GRID1732      6.930e-01  2.067e-02    33.524  < 2e-16 ***
ORIGIN_GRID1733      1.265e-03  2.125e-02     0.060 0.952519    
ORIGIN_GRID1734      5.335e-01  2.081e-02    25.640  < 2e-16 ***
ORIGIN_GRID1735      5.221e-01  2.304e-02    22.658  < 2e-16 ***
ORIGIN_GRID174       5.580e-01  2.888e-02    19.320  < 2e-16 ***
ORIGIN_GRID1748     -8.535e-02  2.192e-02    -3.893 9.90e-05 ***
ORIGIN_GRID1749      1.085e+00  2.051e-02    52.882  < 2e-16 ***
ORIGIN_GRID175       5.618e-02  2.671e-02     2.103 0.035470 *  
ORIGIN_GRID1750      5.131e-01  2.071e-02    24.777  < 2e-16 ***
ORIGIN_GRID1751      4.282e-01  2.123e-02    20.173  < 2e-16 ***
ORIGIN_GRID1753      1.079e+00  2.061e-02    52.354  < 2e-16 ***
ORIGIN_GRID1754      2.032e+00  2.031e-02   100.050  < 2e-16 ***
ORIGIN_GRID1755      1.322e+00  2.045e-02    64.649  < 2e-16 ***
ORIGIN_GRID1756      4.678e-01  2.095e-02    22.330  < 2e-16 ***
ORIGIN_GRID1757     -2.192e+00  4.029e-02   -54.411  < 2e-16 ***
ORIGIN_GRID176       1.362e+00  2.225e-02    61.224  < 2e-16 ***
ORIGIN_GRID1769      2.190e-01  2.124e-02    10.311  < 2e-16 ***
ORIGIN_GRID1770      6.182e-01  2.174e-02    28.436  < 2e-16 ***
ORIGIN_GRID1771      7.952e-01  2.078e-02    38.256  < 2e-16 ***
ORIGIN_GRID1772      1.297e+00  2.200e-02    58.944  < 2e-16 ***
ORIGIN_GRID1774      3.813e-01  2.093e-02    18.222  < 2e-16 ***
ORIGIN_GRID1775     -3.226e-01  2.163e-02   -14.913  < 2e-16 ***
ORIGIN_GRID1776      2.169e+00  2.030e-02   106.854  < 2e-16 ***
ORIGIN_GRID1777      4.463e-01  2.102e-02    21.232  < 2e-16 ***
ORIGIN_GRID1778     -6.623e-01  2.637e-02   -25.111  < 2e-16 ***
ORIGIN_GRID1790      1.352e+00  2.064e-02    65.487  < 2e-16 ***
ORIGIN_GRID1791      3.366e-01  2.120e-02    15.878  < 2e-16 ***
ORIGIN_GRID1792      3.644e-01  2.136e-02    17.060  < 2e-16 ***
ORIGIN_GRID1793      8.110e-01  2.084e-02    38.907  < 2e-16 ***
ORIGIN_GRID1794      2.011e+00  2.157e-02    93.191  < 2e-16 ***
ORIGIN_GRID1795     -1.330e+00  3.008e-02   -44.197  < 2e-16 ***
ORIGIN_GRID1796      4.645e-01  2.101e-02    22.112  < 2e-16 ***
ORIGIN_GRID1797      3.206e-01  2.091e-02    15.329  < 2e-16 ***
ORIGIN_GRID1798      7.694e-01  2.073e-02    37.124  < 2e-16 ***
ORIGIN_GRID1799     -4.825e-01  2.276e-02   -21.201  < 2e-16 ***
ORIGIN_GRID1800     -1.479e+00  3.777e-02   -39.173  < 2e-16 ***
ORIGIN_GRID1811      4.781e-01  2.130e-02    22.448  < 2e-16 ***
ORIGIN_GRID1812      1.593e+00  2.039e-02    78.131  < 2e-16 ***
ORIGIN_GRID1813      1.542e+00  2.042e-02    75.510  < 2e-16 ***
ORIGIN_GRID1817     -2.080e-01  2.203e-02    -9.443  < 2e-16 ***
ORIGIN_GRID1818      1.938e-01  2.105e-02     9.210  < 2e-16 ***
ORIGIN_GRID1819      1.969e+00  2.032e-02    96.894  < 2e-16 ***
ORIGIN_GRID1820     -1.741e+00  3.740e-02   -46.557  < 2e-16 ***
ORIGIN_GRID1832      1.873e+00  2.047e-02    91.511  < 2e-16 ***
ORIGIN_GRID1833      1.157e-01  2.130e-02     5.433 5.54e-08 ***
ORIGIN_GRID1834      1.789e-01  2.106e-02     8.497  < 2e-16 ***
ORIGIN_GRID1835      1.706e-01  2.142e-02     7.966 1.64e-15 ***
ORIGIN_GRID1837      2.800e-01  2.666e-02    10.501  < 2e-16 ***
ORIGIN_GRID1839     -2.202e-01  2.206e-02    -9.982  < 2e-16 ***
ORIGIN_GRID1840      1.859e+00  2.036e-02    91.312  < 2e-16 ***
ORIGIN_GRID1841     -6.815e-01  2.563e-02   -26.593  < 2e-16 ***
ORIGIN_GRID1842      5.130e-01  2.408e-02    21.309  < 2e-16 ***
ORIGIN_GRID1853      4.595e-01  2.101e-02    21.872  < 2e-16 ***
ORIGIN_GRID1854      1.279e+00  2.059e-02    62.115  < 2e-16 ***
ORIGIN_GRID1855      7.950e-01  2.078e-02    38.249  < 2e-16 ***
ORIGIN_GRID1858      1.197e+00  2.229e-02    53.673  < 2e-16 ***
ORIGIN_GRID1860      3.365e-01  2.435e-02    13.816  < 2e-16 ***
ORIGIN_GRID1861      3.796e-01  2.114e-02    17.957  < 2e-16 ***
ORIGIN_GRID1874      4.349e-01  2.193e-02    19.829  < 2e-16 ***
ORIGIN_GRID1875     -1.189e+00  2.674e-02   -44.456  < 2e-16 ***
ORIGIN_GRID1876      4.073e-01  2.665e-02    15.286  < 2e-16 ***
ORIGIN_GRID1877      7.572e-01  2.077e-02    36.460  < 2e-16 ***
ORIGIN_GRID1880      5.853e-01  2.403e-02    24.353  < 2e-16 ***
ORIGIN_GRID1882      5.263e-01  2.109e-02    24.953  < 2e-16 ***
ORIGIN_GRID1883     -3.188e-01  2.554e-02   -12.481  < 2e-16 ***
ORIGIN_GRID1895      6.366e-01  2.104e-02    30.262  < 2e-16 ***
ORIGIN_GRID1896     -5.287e-01  2.254e-02   -23.457  < 2e-16 ***
ORIGIN_GRID1897      7.310e-01  2.119e-02    34.504  < 2e-16 ***
ORIGIN_GRID1898     -1.827e+00  3.736e-02   -48.885  < 2e-16 ***
ORIGIN_GRID1901     -1.442e-01  3.029e-02    -4.760 1.94e-06 ***
ORIGIN_GRID1903     -5.212e-01  2.449e-02   -21.284  < 2e-16 ***
ORIGIN_GRID1917      1.136e-01  2.182e-02     5.205 1.94e-07 ***
ORIGIN_GRID1918      1.091e+00  2.121e-02    51.406  < 2e-16 ***
ORIGIN_GRID1919      5.779e-01  2.094e-02    27.602  < 2e-16 ***
ORIGIN_GRID1922      9.587e-01  2.320e-02    41.321  < 2e-16 ***
ORIGIN_GRID1924     -7.039e-01  2.524e-02   -27.889  < 2e-16 ***
ORIGIN_GRID1937      3.936e-01  2.156e-02    18.259  < 2e-16 ***
ORIGIN_GRID1938      1.401e+00  2.055e-02    68.170  < 2e-16 ***
ORIGIN_GRID1939      5.246e-01  2.121e-02    24.728  < 2e-16 ***
ORIGIN_GRID1942     -1.566e-01  2.769e-02    -5.657 1.54e-08 ***
ORIGIN_GRID195       1.031e+00  2.757e-02    37.379  < 2e-16 ***
ORIGIN_GRID1959      1.325e-01  2.211e-02     5.990 2.10e-09 ***
ORIGIN_GRID196       8.102e-01  2.437e-02    33.244  < 2e-16 ***
ORIGIN_GRID1960      2.612e+00  2.026e-02   128.896  < 2e-16 ***
ORIGIN_GRID1961     -2.864e-01  2.264e-02   -12.649  < 2e-16 ***
ORIGIN_GRID1962      7.392e-01  2.102e-02    35.163  < 2e-16 ***
ORIGIN_GRID1964      4.922e-01  2.596e-02    18.960  < 2e-16 ***
ORIGIN_GRID197      -8.126e-01  5.590e-02   -14.535  < 2e-16 ***
ORIGIN_GRID1979      1.039e-01  2.236e-02     4.646 3.39e-06 ***
ORIGIN_GRID1980     -1.663e-01  2.194e-02    -7.581 3.42e-14 ***
ORIGIN_GRID1981      3.595e-01  2.106e-02    17.071  < 2e-16 ***
ORIGIN_GRID1982      8.464e-01  2.121e-02    39.908  < 2e-16 ***
ORIGIN_GRID1983      8.738e-01  2.095e-02    41.717  < 2e-16 ***
ORIGIN_GRID1984      6.808e-01  2.111e-02    32.252  < 2e-16 ***
ORIGIN_GRID1985      8.720e-01  2.101e-02    41.507  < 2e-16 ***
ORIGIN_GRID2001      6.623e-01  2.103e-02    31.494  < 2e-16 ***
ORIGIN_GRID2002      5.855e-01  2.081e-02    28.136  < 2e-16 ***
ORIGIN_GRID2003      1.113e+00  2.062e-02    53.961  < 2e-16 ***
ORIGIN_GRID2004      1.378e+00  2.062e-02    66.846  < 2e-16 ***
ORIGIN_GRID2005      7.756e-01  2.090e-02    37.117  < 2e-16 ***
ORIGIN_GRID2006      1.445e+00  2.068e-02    69.890  < 2e-16 ***
ORIGIN_GRID2007     -1.616e+00  3.299e-02   -48.979  < 2e-16 ***
ORIGIN_GRID2022      8.199e-01  2.155e-02    38.047  < 2e-16 ***
ORIGIN_GRID2023      7.467e-01  2.076e-02    35.968  < 2e-16 ***
ORIGIN_GRID2024      1.350e+00  2.050e-02    65.864  < 2e-16 ***
ORIGIN_GRID2025      4.165e-01  2.105e-02    19.785  < 2e-16 ***
ORIGIN_GRID2026     -1.033e+00  2.554e-02   -40.451  < 2e-16 ***
ORIGIN_GRID2027      1.320e+00  2.065e-02    63.909  < 2e-16 ***
ORIGIN_GRID2043     -1.411e-01  2.271e-02    -6.214 5.15e-10 ***
ORIGIN_GRID2044      4.918e-01  2.107e-02    23.337  < 2e-16 ***
ORIGIN_GRID2045     -4.772e-01  3.240e-02   -14.729  < 2e-16 ***
ORIGIN_GRID2046      1.503e+00  2.041e-02    73.621  < 2e-16 ***
ORIGIN_GRID2047      1.241e-01  2.172e-02     5.715 1.09e-08 ***
ORIGIN_GRID2048      3.555e-01  2.132e-02    16.678  < 2e-16 ***
ORIGIN_GRID2049     -7.369e-01  2.933e-02   -25.121  < 2e-16 ***
ORIGIN_GRID2064      5.141e-01  2.132e-02    24.113  < 2e-16 ***
ORIGIN_GRID2065     -1.475e-01  2.197e-02    -6.714 1.90e-11 ***
ORIGIN_GRID2066     -2.454e-01  2.968e-02    -8.269  < 2e-16 ***
ORIGIN_GRID2067      2.885e+00  2.025e-02   142.461  < 2e-16 ***
ORIGIN_GRID2068      2.731e-01  2.284e-02    11.956  < 2e-16 ***
ORIGIN_GRID2069      5.056e-01  2.137e-02    23.662  < 2e-16 ***
ORIGIN_GRID2085      3.416e-02  2.238e-02     1.527 0.126842    
ORIGIN_GRID2086      1.693e+00  2.050e-02    82.573  < 2e-16 ***
ORIGIN_GRID2087      1.220e+00  2.067e-02    59.041  < 2e-16 ***
ORIGIN_GRID2088      2.542e-01  2.101e-02    12.101  < 2e-16 ***
ORIGIN_GRID2089     -3.380e-01  2.248e-02   -15.038  < 2e-16 ***
ORIGIN_GRID2090      2.527e+00  2.030e-02   124.526  < 2e-16 ***
ORIGIN_GRID2091     -1.541e+00  5.013e-02   -30.745  < 2e-16 ***
ORIGIN_GRID2105     -3.108e-01  5.700e-02    -5.453 4.95e-08 ***
ORIGIN_GRID2106     -4.865e-01  2.365e-02   -20.569  < 2e-16 ***
ORIGIN_GRID2107      1.278e+00  2.067e-02    61.833  < 2e-16 ***
ORIGIN_GRID2108      1.399e+00  2.060e-02    67.900  < 2e-16 ***
ORIGIN_GRID2109      6.455e-01  2.080e-02    31.040  < 2e-16 ***
ORIGIN_GRID2110     -4.050e-01  2.326e-02   -17.411  < 2e-16 ***
ORIGIN_GRID2111     -1.918e+00  4.680e-02   -40.978  < 2e-16 ***
ORIGIN_GRID2128     -4.040e-01  2.576e-02   -15.684  < 2e-16 ***
ORIGIN_GRID2129      3.007e-01  2.168e-02    13.870  < 2e-16 ***
ORIGIN_GRID2130      8.316e-01  2.067e-02    40.231  < 2e-16 ***
ORIGIN_GRID2131      6.184e-01  2.119e-02    29.184  < 2e-16 ***
ORIGIN_GRID2132      7.643e-01  2.104e-02    36.336  < 2e-16 ***
ORIGIN_GRID2148      5.652e-01  2.312e-02    24.449  < 2e-16 ***
ORIGIN_GRID2149     -6.296e-02  2.278e-02    -2.764 0.005710 ** 
ORIGIN_GRID215       7.870e-01  3.051e-02    25.797  < 2e-16 ***
ORIGIN_GRID2150      5.616e-01  2.120e-02    26.488  < 2e-16 ***
ORIGIN_GRID2151      1.657e+00  2.041e-02    81.173  < 2e-16 ***
ORIGIN_GRID2152      9.583e-01  2.080e-02    46.062  < 2e-16 ***
ORIGIN_GRID2153      2.332e-01  2.210e-02    10.550  < 2e-16 ***
ORIGIN_GRID216       4.745e-01  2.499e-02    18.991  < 2e-16 ***
ORIGIN_GRID217       1.429e+00  2.250e-02    63.520  < 2e-16 ***
ORIGIN_GRID2171      1.017e+00  2.092e-02    48.630  < 2e-16 ***
ORIGIN_GRID2172      3.761e-02  2.230e-02     1.687 0.091642 .  
ORIGIN_GRID2173      1.632e-01  2.133e-02     7.653 1.97e-14 ***
ORIGIN_GRID2174      5.191e-01  2.145e-02    24.202  < 2e-16 ***
ORIGIN_GRID2191      1.511e+00  2.110e-02    71.607  < 2e-16 ***
ORIGIN_GRID2192     -1.357e-02  2.267e-02    -0.598 0.549537    
ORIGIN_GRID2193      6.928e-01  2.110e-02    32.835  < 2e-16 ***
ORIGIN_GRID2194      9.267e-01  2.086e-02    44.433  < 2e-16 ***
ORIGIN_GRID2195     -2.799e-01  3.804e-02    -7.357 1.88e-13 ***
ORIGIN_GRID2212      1.618e+00  2.563e-02    63.129  < 2e-16 ***
ORIGIN_GRID2213      1.130e+00  2.167e-02    52.142  < 2e-16 ***
ORIGIN_GRID2214      1.370e+00  2.176e-02    62.945  < 2e-16 ***
ORIGIN_GRID2215      4.801e-01  2.158e-02    22.248  < 2e-16 ***
ORIGIN_GRID2216      3.092e-01  2.189e-02    14.124  < 2e-16 ***
ORIGIN_GRID2233      8.444e-01  2.403e-02    35.142  < 2e-16 ***
ORIGIN_GRID2234      1.416e+00  2.283e-02    62.014  < 2e-16 ***
ORIGIN_GRID2235      2.683e-01  2.322e-02    11.553  < 2e-16 ***
ORIGIN_GRID2236     -1.379e+00  2.964e-02   -46.505  < 2e-16 ***
ORIGIN_GRID2237      6.026e-01  2.456e-02    24.541  < 2e-16 ***
ORIGIN_GRID2256      4.625e-01  2.606e-02    17.750  < 2e-16 ***
ORIGIN_GRID2257     -7.828e-01  3.014e-02   -25.974  < 2e-16 ***
ORIGIN_GRID2258      1.151e+00  2.097e-02    54.889  < 2e-16 ***
ORIGIN_GRID2259      1.072e+00  2.408e-02    44.521  < 2e-16 ***
ORIGIN_GRID2277      3.744e-01  2.988e-02    12.529  < 2e-16 ***
ORIGIN_GRID2278     -4.177e-01  2.794e-02   -14.948  < 2e-16 ***
ORIGIN_GRID2279     -1.516e-01  2.351e-02    -6.449 1.13e-10 ***
ORIGIN_GRID2280     -1.469e+00  5.281e-02   -27.816  < 2e-16 ***
ORIGIN_GRID2297      1.816e+00  2.126e-02    85.450  < 2e-16 ***
ORIGIN_GRID23        1.892e-01  5.452e-02     3.470 0.000520 ***
ORIGIN_GRID2300     -5.977e-01  3.159e-02   -18.921  < 2e-16 ***
ORIGIN_GRID2301      1.006e-01  2.312e-02     4.352 1.35e-05 ***
ORIGIN_GRID2318      5.708e-01  2.337e-02    24.429  < 2e-16 ***
ORIGIN_GRID2319      1.829e+00  2.102e-02    87.005  < 2e-16 ***
ORIGIN_GRID2322      9.994e-01  2.185e-02    45.731  < 2e-16 ***
ORIGIN_GRID2337      1.674e+00  2.564e-02    65.297  < 2e-16 ***
ORIGIN_GRID2341      2.448e+00  2.074e-02   118.059  < 2e-16 ***
ORIGIN_GRID2343      7.553e-02  2.394e-02     3.155 0.001603 ** 
ORIGIN_GRID2361      1.740e+00  2.136e-02    81.452  < 2e-16 ***
ORIGIN_GRID2364     -9.115e-01  3.424e-02   -26.622  < 2e-16 ***
ORIGIN_GRID237      -3.415e-01  5.072e-02    -6.734 1.65e-11 ***
ORIGIN_GRID2379      1.238e+00  2.941e-02    42.080  < 2e-16 ***
ORIGIN_GRID238       9.694e-02  2.947e-02     3.289 0.001005 ** 
ORIGIN_GRID2384      1.873e+00  2.131e-02    87.878  < 2e-16 ***
ORIGIN_GRID239      -4.863e-01  4.722e-02   -10.301  < 2e-16 ***
ORIGIN_GRID2405      2.360e+00  2.081e-02   113.374  < 2e-16 ***
ORIGIN_GRID2406      6.093e-01  2.468e-02    24.683  < 2e-16 ***
ORIGIN_GRID2426      1.650e+00  2.413e-02    68.369  < 2e-16 ***
ORIGIN_GRID2427      1.743e+00  2.179e-02    79.970  < 2e-16 ***
ORIGIN_GRID2505      1.664e+00  3.274e-02    50.812  < 2e-16 ***
ORIGIN_GRID257       9.732e-01  2.671e-02    36.439  < 2e-16 ***
ORIGIN_GRID258       1.836e-01  2.708e-02     6.781 1.19e-11 ***
ORIGIN_GRID259       1.041e+00  2.459e-02    42.339  < 2e-16 ***
ORIGIN_GRID278       1.575e+00  2.376e-02    66.257  < 2e-16 ***
ORIGIN_GRID279       6.569e-01  2.490e-02    26.380  < 2e-16 ***
ORIGIN_GRID280       9.208e-01  2.476e-02    37.194  < 2e-16 ***
ORIGIN_GRID298      -2.503e+00  1.837e-01   -13.627  < 2e-16 ***
ORIGIN_GRID299       1.882e-01  2.842e-02     6.622 3.55e-11 ***
ORIGIN_GRID300      -1.057e-01  2.815e-02    -3.756 0.000173 ***
ORIGIN_GRID320       1.510e+00  2.630e-02    57.404  < 2e-16 ***
ORIGIN_GRID321       7.903e-01  3.333e-02    23.711  < 2e-16 ***
ORIGIN_GRID322       1.207e+00  2.600e-02    46.421  < 2e-16 ***
ORIGIN_GRID340       2.083e+00  2.511e-02    82.964  < 2e-16 ***
ORIGIN_GRID341       6.652e-01  2.589e-02    25.693  < 2e-16 ***
ORIGIN_GRID342       8.819e-01  2.585e-02    34.122  < 2e-16 ***
ORIGIN_GRID363       1.693e+00  2.439e-02    69.425  < 2e-16 ***
ORIGIN_GRID364       1.705e+00  2.231e-02    76.445  < 2e-16 ***
ORIGIN_GRID383       1.605e+00  2.253e-02    71.223  < 2e-16 ***
ORIGIN_GRID384       6.855e-01  2.563e-02    26.740  < 2e-16 ***
ORIGIN_GRID385       1.793e+00  2.437e-02    73.602  < 2e-16 ***
ORIGIN_GRID404       1.366e+00  2.695e-02    50.671  < 2e-16 ***
ORIGIN_GRID405       2.023e+00  2.375e-02    85.181  < 2e-16 ***
ORIGIN_GRID406       1.969e+00  2.063e-02    95.455  < 2e-16 ***
ORIGIN_GRID407       2.008e+00  2.186e-02    91.853  < 2e-16 ***
ORIGIN_GRID408       2.830e+00  2.071e-02   136.660  < 2e-16 ***
ORIGIN_GRID425      -1.070e+00  4.794e-02   -22.319  < 2e-16 ***
ORIGIN_GRID426       1.486e+00  2.216e-02    67.063  < 2e-16 ***
ORIGIN_GRID427      -8.328e-01  2.800e-02   -29.738  < 2e-16 ***
ORIGIN_GRID428       1.892e+00  2.162e-02    87.508  < 2e-16 ***
ORIGIN_GRID429       3.653e-01  2.811e-02    12.997  < 2e-16 ***
ORIGIN_GRID44       -9.096e-01  9.581e-02    -9.494  < 2e-16 ***
ORIGIN_GRID446       2.244e-01  3.391e-02     6.616 3.68e-11 ***
ORIGIN_GRID447      -1.694e-01  2.880e-02    -5.882 4.06e-09 ***
ORIGIN_GRID448       8.560e-01  2.321e-02    36.876  < 2e-16 ***
ORIGIN_GRID449       3.260e-01  2.261e-02    14.419  < 2e-16 ***
ORIGIN_GRID450       6.617e-01  2.289e-02    28.905  < 2e-16 ***
ORIGIN_GRID46       -5.254e-01  4.783e-02   -10.985  < 2e-16 ***
ORIGIN_GRID468       1.275e+00  2.316e-02    55.055  < 2e-16 ***
ORIGIN_GRID469       4.318e-01  2.227e-02    19.386  < 2e-16 ***
ORIGIN_GRID470       9.833e-01  2.123e-02    46.322  < 2e-16 ***
ORIGIN_GRID471       1.298e+00  2.304e-02    56.356  < 2e-16 ***
ORIGIN_GRID488       3.184e-01  3.308e-02     9.628  < 2e-16 ***
ORIGIN_GRID489      -2.809e+00  1.266e-01   -22.183  < 2e-16 ***
ORIGIN_GRID490       1.035e+00  2.206e-02    46.921  < 2e-16 ***
ORIGIN_GRID491      -1.647e-01  2.274e-02    -7.243 4.38e-13 ***
ORIGIN_GRID493      -1.004e+00  4.302e-02   -23.332  < 2e-16 ***
ORIGIN_GRID494       8.399e-03  3.304e-02     0.254 0.799344    
ORIGIN_GRID509       1.067e+00  2.394e-02    44.552  < 2e-16 ***
ORIGIN_GRID510       1.766e+00  2.210e-02    79.896  < 2e-16 ***
ORIGIN_GRID511       4.245e-01  2.195e-02    19.346  < 2e-16 ***
ORIGIN_GRID512       1.121e+00  2.082e-02    53.834  < 2e-16 ***
ORIGIN_GRID513       1.250e+00  2.202e-02    56.775  < 2e-16 ***
ORIGIN_GRID514       9.186e-01  2.409e-02    38.131  < 2e-16 ***
ORIGIN_GRID515      -2.011e+00  7.530e-02   -26.710  < 2e-16 ***
ORIGIN_GRID530      -1.096e-01  3.819e-02    -2.871 0.004097 ** 
ORIGIN_GRID531       1.563e+00  2.170e-02    72.049  < 2e-16 ***
ORIGIN_GRID532       5.732e-01  2.249e-02    25.487  < 2e-16 ***
ORIGIN_GRID533       1.828e+00  2.048e-02    89.266  < 2e-16 ***
ORIGIN_GRID534       1.232e+00  2.091e-02    58.900  < 2e-16 ***
ORIGIN_GRID536       3.478e-01  2.560e-02    13.587  < 2e-16 ***
ORIGIN_GRID537      -1.339e+00  5.545e-02   -24.148  < 2e-16 ***
ORIGIN_GRID538      -1.009e+00  5.545e-02   -18.194  < 2e-16 ***
ORIGIN_GRID539      -3.215e+00  1.000e+00    -3.215 0.001307 ** 
ORIGIN_GRID551       3.232e-02  3.125e-02     1.034 0.301095    
ORIGIN_GRID552       1.420e+00  2.393e-02    59.350  < 2e-16 ***
ORIGIN_GRID553      -1.221e-01  2.268e-02    -5.384 7.29e-08 ***
ORIGIN_GRID554       5.930e-01  2.113e-02    28.070  < 2e-16 ***
ORIGIN_GRID555       1.219e+00  2.185e-02    55.789  < 2e-16 ***
ORIGIN_GRID559      -9.087e-01  5.968e-02   -15.225  < 2e-16 ***
ORIGIN_GRID560       1.024e+00  2.613e-02    39.203  < 2e-16 ***
ORIGIN_GRID572      -4.677e-01  4.425e-02   -10.570  < 2e-16 ***
ORIGIN_GRID573       6.872e-01  2.544e-02    27.014  < 2e-16 ***
ORIGIN_GRID574      -8.051e-01  3.901e-02   -20.641  < 2e-16 ***
ORIGIN_GRID575       3.363e+00  2.024e-02   166.151  < 2e-16 ***
ORIGIN_GRID576       8.086e-01  2.111e-02    38.305  < 2e-16 ***
ORIGIN_GRID578      -2.647e+00  1.035e-01   -25.566  < 2e-16 ***
ORIGIN_GRID582       5.737e-01  3.672e-02    15.623  < 2e-16 ***
ORIGIN_GRID583      -2.076e+00  1.752e-01   -11.847  < 2e-16 ***
ORIGIN_GRID584       6.737e-03  4.243e-02     0.159 0.873845    
ORIGIN_GRID593      -3.786e-01  3.425e-02   -11.057  < 2e-16 ***
ORIGIN_GRID594       5.046e-01  2.609e-02    19.338  < 2e-16 ***
ORIGIN_GRID595       1.201e+00  2.105e-02    57.027  < 2e-16 ***
ORIGIN_GRID596       5.598e-01  2.099e-02    26.671  < 2e-16 ***
ORIGIN_GRID597      -4.120e-01  3.267e-02   -12.610  < 2e-16 ***
ORIGIN_GRID603      -6.381e-01  6.028e-02   -10.585  < 2e-16 ***
ORIGIN_GRID604      -5.193e-01  5.335e-02    -9.732  < 2e-16 ***
ORIGIN_GRID615      -2.541e-01  2.724e-02    -9.328  < 2e-16 ***
ORIGIN_GRID616       7.097e-01  2.249e-02    31.552  < 2e-16 ***
ORIGIN_GRID617      -2.977e-01  2.373e-02   -12.544  < 2e-16 ***
ORIGIN_GRID618       9.269e-01  2.086e-02    44.425  < 2e-16 ***
ORIGIN_GRID620       3.382e-01  2.558e-02    13.220  < 2e-16 ***
ORIGIN_GRID637       3.461e-01  2.340e-02    14.789  < 2e-16 ***
ORIGIN_GRID638       8.206e-01  2.082e-02    39.411  < 2e-16 ***
ORIGIN_GRID657       1.316e+00  2.159e-02    60.963  < 2e-16 ***
ORIGIN_GRID658       8.838e-01  2.106e-02    41.968  < 2e-16 ***
ORIGIN_GRID659       4.983e-01  2.125e-02    23.444  < 2e-16 ***
ORIGIN_GRID66       -6.600e-01  6.153e-02   -10.727  < 2e-16 ***
ORIGIN_GRID660       1.316e+00  2.058e-02    63.960  < 2e-16 ***
ORIGIN_GRID662       1.188e+00  2.237e-02    53.110  < 2e-16 ***
ORIGIN_GRID67        1.205e+00  2.596e-02    46.410  < 2e-16 ***
ORIGIN_GRID677       1.233e+00  2.320e-02    53.119  < 2e-16 ***
ORIGIN_GRID678      -9.114e-01  2.978e-02   -30.603  < 2e-16 ***
ORIGIN_GRID679       1.160e+00  2.074e-02    55.909  < 2e-16 ***
ORIGIN_GRID68       -7.052e-01  5.590e-02   -12.615  < 2e-16 ***
ORIGIN_GRID680       2.419e+00  2.033e-02   119.003  < 2e-16 ***
ORIGIN_GRID681      -4.334e-01  2.542e-02   -17.049  < 2e-16 ***
ORIGIN_GRID699       8.275e-01  2.248e-02    36.801  < 2e-16 ***
ORIGIN_GRID700       6.270e-01  2.133e-02    29.388  < 2e-16 ***
ORIGIN_GRID701      -3.138e-01  2.327e-02   -13.486  < 2e-16 ***
ORIGIN_GRID702       1.088e+00  2.067e-02    52.623  < 2e-16 ***
ORIGIN_GRID704       8.724e-01  2.286e-02    38.161  < 2e-16 ***
ORIGIN_GRID722      -7.080e-01  2.480e-02   -28.547  < 2e-16 ***
ORIGIN_GRID725      -1.193e+00  3.423e-02   -34.839  < 2e-16 ***
ORIGIN_GRID741       1.042e+00  2.191e-02    47.577  < 2e-16 ***
ORIGIN_GRID743      -1.806e+00  2.918e-02   -61.916  < 2e-16 ***
ORIGIN_GRID744       5.604e-01  2.106e-02    26.605  < 2e-16 ***
ORIGIN_GRID761       1.309e+00  2.226e-02    58.785  < 2e-16 ***
ORIGIN_GRID762       7.559e-01  2.203e-02    34.305  < 2e-16 ***
ORIGIN_GRID763      -1.327e+00  2.792e-02   -47.513  < 2e-16 ***
ORIGIN_GRID764       1.399e+00  2.050e-02    68.252  < 2e-16 ***
ORIGIN_GRID765       5.851e-01  2.188e-02    26.739  < 2e-16 ***
ORIGIN_GRID767       1.173e+00  2.101e-02    55.832  < 2e-16 ***
ORIGIN_GRID772      -1.064e+00  4.739e-02   -22.450  < 2e-16 ***
ORIGIN_GRID784      -1.715e+00  3.017e-02   -56.855  < 2e-16 ***
ORIGIN_GRID785       6.094e-01  2.083e-02    29.253  < 2e-16 ***
ORIGIN_GRID786       2.212e-01  2.120e-02    10.438  < 2e-16 ***
ORIGIN_GRID787       6.224e-01  2.198e-02    28.316  < 2e-16 ***
ORIGIN_GRID788       1.836e-01  2.235e-02     8.214  < 2e-16 ***
ORIGIN_GRID789      -4.818e-01  2.486e-02   -19.381  < 2e-16 ***
ORIGIN_GRID803      -1.666e-01  2.713e-02    -6.142 8.17e-10 ***
ORIGIN_GRID804       9.866e-01  2.122e-02    46.493  < 2e-16 ***
ORIGIN_GRID805       2.059e+00  2.035e-02   101.158  < 2e-16 ***
ORIGIN_GRID806       3.553e-01  2.109e-02    16.852  < 2e-16 ***
ORIGIN_GRID807       8.423e-01  2.110e-02    39.920  < 2e-16 ***
ORIGIN_GRID808      -1.046e+00  2.851e-02   -36.693  < 2e-16 ***
ORIGIN_GRID809       7.877e-01  2.083e-02    37.809  < 2e-16 ***
ORIGIN_GRID810       3.506e-01  2.180e-02    16.085  < 2e-16 ***
ORIGIN_GRID814      -4.908e-01  3.322e-02   -14.775  < 2e-16 ***
ORIGIN_GRID824       5.590e-01  2.430e-02    23.009  < 2e-16 ***
ORIGIN_GRID826       3.533e-01  2.127e-02    16.615  < 2e-16 ***
ORIGIN_GRID827       9.862e-01  2.076e-02    47.498  < 2e-16 ***
ORIGIN_GRID828       7.627e-01  2.074e-02    36.769  < 2e-16 ***
ORIGIN_GRID829       2.229e-01  2.165e-02    10.295  < 2e-16 ***
ORIGIN_GRID830       1.369e-02  2.233e-02     0.613 0.539877    
ORIGIN_GRID831       2.738e+00  2.028e-02   135.010  < 2e-16 ***
ORIGIN_GRID832       2.414e+00  2.046e-02   117.976  < 2e-16 ***
ORIGIN_GRID835      -2.943e-01  3.020e-02    -9.746  < 2e-16 ***
ORIGIN_GRID844      -1.946e-01  3.065e-02    -6.350 2.15e-10 ***
ORIGIN_GRID846       3.760e-01  2.146e-02    17.522  < 2e-16 ***
ORIGIN_GRID847       1.517e+00  2.060e-02    73.655  < 2e-16 ***
ORIGIN_GRID848       4.896e-01  2.103e-02    23.276  < 2e-16 ***
ORIGIN_GRID849      -6.278e-01  2.265e-02   -27.710  < 2e-16 ***
ORIGIN_GRID850       5.774e-01  2.101e-02    27.485  < 2e-16 ***
ORIGIN_GRID851       5.571e-01  2.094e-02    26.600  < 2e-16 ***
ORIGIN_GRID852       9.677e-02  2.187e-02     4.425 9.66e-06 ***
ORIGIN_GRID853       1.422e+00  2.118e-02    67.162  < 2e-16 ***
ORIGIN_GRID854       3.229e-01  2.613e-02    12.356  < 2e-16 ***
ORIGIN_GRID855      -7.177e-02  2.773e-02    -2.588 0.009652 ** 
ORIGIN_GRID856      -4.547e-01  3.193e-02   -14.242  < 2e-16 ***
ORIGIN_GRID86        9.508e-01  3.054e-02    31.132  < 2e-16 ***
ORIGIN_GRID866       1.052e+00  2.299e-02    45.785  < 2e-16 ***
ORIGIN_GRID867       1.425e+00  2.081e-02    68.463  < 2e-16 ***
ORIGIN_GRID868       1.377e+00  2.091e-02    65.872  < 2e-16 ***
ORIGIN_GRID869       2.104e+00  2.085e-02   100.927  < 2e-16 ***
ORIGIN_GRID87        6.742e-02  4.608e-02     1.463 0.143397    
ORIGIN_GRID870       2.129e+00  2.032e-02   104.734  < 2e-16 ***
ORIGIN_GRID871       1.976e+00  2.060e-02    95.927  < 2e-16 ***
ORIGIN_GRID872      -7.025e-02  2.188e-02    -3.210 0.001327 ** 
ORIGIN_GRID873      -9.323e-01  2.446e-02   -38.110  < 2e-16 ***
ORIGIN_GRID874      -4.420e-01  2.299e-02   -19.228  < 2e-16 ***
ORIGIN_GRID875      -1.083e+00  3.965e-02   -27.327  < 2e-16 ***
ORIGIN_GRID876      -1.039e+00  3.600e-02   -28.865  < 2e-16 ***
ORIGIN_GRID877      -1.024e+00  3.461e-02   -29.587  < 2e-16 ***
ORIGIN_GRID88        1.286e+00  2.441e-02    52.693  < 2e-16 ***
ORIGIN_GRID887       1.913e-01  2.228e-02     8.589  < 2e-16 ***
ORIGIN_GRID888      -1.726e-01  2.266e-02    -7.618 2.58e-14 ***
ORIGIN_GRID889       5.560e-02  2.344e-02     2.372 0.017694 *  
ORIGIN_GRID89       -2.273e+00  8.333e-02   -27.276  < 2e-16 ***
ORIGIN_GRID890       9.819e-01  2.073e-02    47.374  < 2e-16 ***
ORIGIN_GRID891      -4.659e-01  2.516e-02   -18.518  < 2e-16 ***
ORIGIN_GRID893       1.035e+00  2.069e-02    50.055  < 2e-16 ***
ORIGIN_GRID894      -6.405e-01  2.357e-02   -27.180  < 2e-16 ***
ORIGIN_GRID895       3.209e-01  2.256e-02    14.221  < 2e-16 ***
ORIGIN_GRID896      -1.843e+00  4.589e-02   -40.155  < 2e-16 ***
ORIGIN_GRID897      -3.825e-01  2.898e-02   -13.200  < 2e-16 ***
ORIGIN_GRID898       7.402e-01  2.468e-02    29.988  < 2e-16 ***
ORIGIN_GRID90       -1.459e-02  4.549e-02    -0.321 0.748398    
ORIGIN_GRID908       1.251e+00  2.270e-02    55.121  < 2e-16 ***
ORIGIN_GRID909       5.052e-01  2.111e-02    23.930  < 2e-16 ***
ORIGIN_GRID910      -9.342e-01  2.495e-02   -37.441  < 2e-16 ***
ORIGIN_GRID911       1.814e+00  2.055e-02    88.260  < 2e-16 ***
ORIGIN_GRID912       3.388e-01  2.123e-02    15.959  < 2e-16 ***
ORIGIN_GRID915       3.617e-01  2.118e-02    17.076  < 2e-16 ***
ORIGIN_GRID917       1.707e+00  2.088e-02    81.767  < 2e-16 ***
ORIGIN_GRID918      -1.187e+00  3.323e-02   -35.727  < 2e-16 ***
ORIGIN_GRID919      -3.210e-01  2.637e-02   -12.175  < 2e-16 ***
ORIGIN_GRID928      -8.297e-01  2.771e-02   -29.942  < 2e-16 ***
ORIGIN_GRID929       4.984e-01  2.109e-02    23.627  < 2e-16 ***
ORIGIN_GRID930       1.857e+00  2.038e-02    91.134  < 2e-16 ***
ORIGIN_GRID931      -9.387e-02  2.329e-02    -4.030 5.58e-05 ***
ORIGIN_GRID932      -1.357e+00  3.792e-02   -35.777  < 2e-16 ***
ORIGIN_GRID933       6.120e-01  2.149e-02    28.476  < 2e-16 ***
ORIGIN_GRID934      -8.198e-01  2.445e-02   -33.537  < 2e-16 ***
ORIGIN_GRID935       2.660e+00  2.028e-02   131.152  < 2e-16 ***
ORIGIN_GRID938      -3.440e+00  1.972e-01   -17.450  < 2e-16 ***
ORIGIN_GRID939       2.428e+00  2.050e-02   118.480  < 2e-16 ***
ORIGIN_GRID940      -3.254e-01  3.294e-02    -9.879  < 2e-16 ***
ORIGIN_GRID949      -1.833e-01  2.361e-02    -7.764 8.21e-15 ***
ORIGIN_GRID950       1.538e+00  2.073e-02    74.187  < 2e-16 ***
ORIGIN_GRID951       2.411e+00  2.030e-02   118.746  < 2e-16 ***
ORIGIN_GRID952       9.437e-01  2.191e-02    43.071  < 2e-16 ***
ORIGIN_GRID953       2.353e-01  2.275e-02    10.343  < 2e-16 ***
ORIGIN_GRID954      -1.502e+00  2.818e-02   -53.299  < 2e-16 ***
ORIGIN_GRID955       1.344e+00  2.071e-02    64.882  < 2e-16 ***
ORIGIN_GRID956      -4.952e-01  2.282e-02   -21.700  < 2e-16 ***
ORIGIN_GRID957       2.455e-01  2.183e-02    11.247  < 2e-16 ***
ORIGIN_GRID959       4.582e-01  2.822e-02    16.234  < 2e-16 ***
ORIGIN_GRID961      -2.965e-01  2.425e-02   -12.229  < 2e-16 ***
ORIGIN_GRID970       1.065e+00  2.087e-02    51.010  < 2e-16 ***
ORIGIN_GRID971       9.150e-01  2.066e-02    44.288  < 2e-16 ***
ORIGIN_GRID972       4.425e-01  2.113e-02    20.944  < 2e-16 ***
ORIGIN_GRID974       9.665e-03  2.249e-02     0.430 0.667355    
ORIGIN_GRID975      -8.286e-01  2.520e-02   -32.878  < 2e-16 ***
ORIGIN_GRID976      -1.031e+00  2.548e-02   -40.456  < 2e-16 ***
ORIGIN_GRID977       6.645e-01  2.094e-02    31.730  < 2e-16 ***
ORIGIN_GRID978       3.998e-01  2.243e-02    17.824  < 2e-16 ***
ORIGIN_GRID982      -3.762e-01  2.344e-02   -16.048  < 2e-16 ***
ORIGIN_GRID983       2.816e+00  2.065e-02   136.366  < 2e-16 ***
ORIGIN_GRID991       1.144e+00  2.098e-02    54.554  < 2e-16 ***
ORIGIN_GRID992       1.179e+00  2.077e-02    56.764  < 2e-16 ***
ORIGIN_GRID993      -3.380e-01  2.214e-02   -15.265  < 2e-16 ***
ORIGIN_GRID994      -2.017e-01  2.241e-02    -9.001  < 2e-16 ***
ORIGIN_GRID995       1.728e+00  2.059e-02    83.929  < 2e-16 ***
ORIGIN_GRID996      -1.949e-01  2.306e-02    -8.452  < 2e-16 ***
ORIGIN_GRID997      -5.077e-01  3.231e-02   -15.712  < 2e-16 ***
ORIGIN_GRID998       1.259e+00  2.073e-02    60.740  < 2e-16 ***
ORIGIN_GRID999       6.379e-01  2.173e-02    29.354  < 2e-16 ***
log(DWELL_COUNT)     1.507e-01  8.067e-05  1868.697  < 2e-16 ***
log(retail_COUNT)    6.870e-02  1.592e-04   431.508  < 2e-16 ***
log(stn_exit_COUNT)  4.270e-01  3.424e-04  1247.075  < 2e-16 ***
log(DIST)           -1.498e+00  2.642e-04 -5669.030  < 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: 92579202  on 67841  degrees of freedom
Residual deviance: 32099147  on 67025  degrees of freedom
AIC: 32472093

Number of Fisher Scoring iterations: 8

We can see that for all of the attractive attributes showing good attractive pull for trips towards there.

We can use the summary() function to obtain various coefficients and statistical analysis from our origin model as well as other models.

Attention

Here we will only use factors that are attractive for origin constrained.

CalcRSquared(orcSIM_Poisson$data$TRIPS, orcSIM_Poisson$fitted.values)
[1] 0.4320628

We have a R-square value of 0.432, which indicates that about 43% of variation can be explained by the model.

code chunk
decSIM <- glm(formula = TRIPS ~ 
                DESTIN_GRID + 
                log(SCHOOL_COUNT) +
                log(BIZ_COUNT)+
                log(FIN_COUNT)+
                log(DIST),
              family = poisson(link = "log"),
              data = inter_zonal_flow,
              na.action = na.exclude)
summary(decSIM)

Call:
glm(formula = TRIPS ~ DESTIN_GRID + log(SCHOOL_COUNT) + log(BIZ_COUNT) + 
    log(FIN_COUNT) + log(DIST), family = poisson(link = "log"), 
    data = inter_zonal_flow, na.action = na.exclude)

Coefficients:
                    Estimate Std. Error   z value Pr(>|z|)    
(Intercept)       15.2046643  0.0296805   512.279  < 2e-16 ***
DESTIN_GRID1003    3.0168997  0.0298462   101.081  < 2e-16 ***
DESTIN_GRID1004    4.0657109  0.0297043   136.873  < 2e-16 ***
DESTIN_GRID1011    0.1398794  0.0383135     3.651 0.000261 ***
DESTIN_GRID1012    1.1057368  0.0320740    34.475  < 2e-16 ***
DESTIN_GRID1013    0.5198468  0.0318982    16.297  < 2e-16 ***
DESTIN_GRID1014    0.6541272  0.0313240    20.883  < 2e-16 ***
DESTIN_GRID1015    0.7461312  0.0312164    23.902  < 2e-16 ***
DESTIN_GRID1016    2.3413405  0.0299566    78.158  < 2e-16 ***
DESTIN_GRID1018    1.6247357  0.0314746    51.621  < 2e-16 ***
DESTIN_GRID1019    2.3206602  0.0302016    76.839  < 2e-16 ***
DESTIN_GRID1023    2.0176067  0.0308387    65.425  < 2e-16 ***
DESTIN_GRID1024    2.8201457  0.0299389    94.197  < 2e-16 ***
DESTIN_GRID1025   -0.4997760  0.0433390   -11.532  < 2e-16 ***
DESTIN_GRID1033    0.7969990  0.0313853    25.394  < 2e-16 ***
DESTIN_GRID1034    1.6985362  0.0301902    56.261  < 2e-16 ***
DESTIN_GRID1035    1.7857052  0.0301142    59.298  < 2e-16 ***
DESTIN_GRID1036    1.3873776  0.0303992    45.639  < 2e-16 ***
DESTIN_GRID1037    1.5600577  0.0301668    51.714  < 2e-16 ***
DESTIN_GRID1043    0.1317617  0.0408529     3.225 0.001259 ** 
DESTIN_GRID1045    2.8085453  0.0298579    94.064  < 2e-16 ***
DESTIN_GRID1046    2.6754833  0.0300065    89.163  < 2e-16 ***
DESTIN_GRID1053    2.1018146  0.0300548    69.933  < 2e-16 ***
DESTIN_GRID1054    1.1813475  0.0305606    38.656  < 2e-16 ***
DESTIN_GRID1055    1.9667675  0.0300454    65.460  < 2e-16 ***
DESTIN_GRID1056    0.9080508  0.0309341    29.354  < 2e-16 ***
DESTIN_GRID1064   -3.3716119  0.2598920   -12.973  < 2e-16 ***
DESTIN_GRID1066    2.3503771  0.0300663    78.173  < 2e-16 ***
DESTIN_GRID1067    2.6329187  0.0303088    86.870  < 2e-16 ***
DESTIN_GRID1074    1.4872142  0.0304742    48.802  < 2e-16 ***
DESTIN_GRID1075    0.3039975  0.0322390     9.429  < 2e-16 ***
DESTIN_GRID1076    0.2301409  0.0314521     7.317 2.53e-13 ***
DESTIN_GRID1077    0.7607119  0.0310171    24.526  < 2e-16 ***
DESTIN_GRID1079    2.2056047  0.0299772    73.576  < 2e-16 ***
DESTIN_GRID1085   -2.1991045  0.2789272    -7.884 3.17e-15 ***
DESTIN_GRID1087    2.2886896  0.0302253    75.721  < 2e-16 ***
DESTIN_GRID1088    1.0934700  0.0318591    34.322  < 2e-16 ***
DESTIN_GRID109    -0.7145482  0.0913238    -7.824 5.10e-15 ***
DESTIN_GRID1094   -1.0699290  0.0452127   -23.664  < 2e-16 ***
DESTIN_GRID1095    0.2279831  0.0365199     6.243 4.30e-10 ***
DESTIN_GRID1096   -0.0565381  0.0390562    -1.448 0.147726    
DESTIN_GRID1097    2.4193072  0.0298171    81.138  < 2e-16 ***
DESTIN_GRID1098   -0.0101423  0.0343607    -0.295 0.767862    
DESTIN_GRID1099    1.3312313  0.0304268    43.752  < 2e-16 ***
DESTIN_GRID110    -2.9352231  0.2688981   -10.916  < 2e-16 ***
DESTIN_GRID1105    1.1319973  0.0354257    31.954  < 2e-16 ***
DESTIN_GRID1106   -2.4626789  0.1553481   -15.853  < 2e-16 ***
DESTIN_GRID1107    1.1783554  0.0331237    35.574  < 2e-16 ***
DESTIN_GRID1108    4.0432060  0.0296753   136.248  < 2e-16 ***
DESTIN_GRID1109    1.7186136  0.0315327    54.503  < 2e-16 ***
DESTIN_GRID111     2.2404160  0.0311412    71.944  < 2e-16 ***
DESTIN_GRID1116    1.3551547  0.0306941    44.150  < 2e-16 ***
DESTIN_GRID1117   -0.0096775  0.0331273    -0.292 0.770187    
DESTIN_GRID1118    0.8440718  0.0314937    26.801  < 2e-16 ***
DESTIN_GRID1119    0.7074476  0.0309204    22.880  < 2e-16 ***
DESTIN_GRID112    -1.9351336  0.0922554   -20.976  < 2e-16 ***
DESTIN_GRID1120    0.5377044  0.0321728    16.713  < 2e-16 ***
DESTIN_GRID1129    2.9024082  0.0299519    96.902  < 2e-16 ***
DESTIN_GRID1130    2.9396249  0.0298560    98.460  < 2e-16 ***
DESTIN_GRID1131    2.2431918  0.0311549    72.001  < 2e-16 ***
DESTIN_GRID1136    0.0071151  0.0333722     0.213 0.831167    
DESTIN_GRID1138   -0.8528060  0.0406661   -20.971  < 2e-16 ***
DESTIN_GRID1139    1.6891532  0.0300455    56.220  < 2e-16 ***
DESTIN_GRID1141    1.2313399  0.0305564    40.297  < 2e-16 ***
DESTIN_GRID1148   -1.2542748  0.0832935   -15.058  < 2e-16 ***
DESTIN_GRID1149    0.8512333  0.0356857    23.854  < 2e-16 ***
DESTIN_GRID1150    3.1268493  0.0297930   104.952  < 2e-16 ***
DESTIN_GRID1151    1.8160405  0.0305391    59.466  < 2e-16 ***
DESTIN_GRID1158    0.0423468  0.0321243     1.318 0.187432    
DESTIN_GRID1159    1.4494744  0.0301501    48.075  < 2e-16 ***
DESTIN_GRID1160    2.3071104  0.0298356    77.327  < 2e-16 ***
DESTIN_GRID1171    3.3020295  0.0298472   110.631  < 2e-16 ***
DESTIN_GRID1172    3.6147838  0.0297568   121.478  < 2e-16 ***
DESTIN_GRID1173    0.9506911  0.0324208    29.323  < 2e-16 ***
DESTIN_GRID1174   -2.4136924  0.2443384    -9.878  < 2e-16 ***
DESTIN_GRID1178    0.9961592  0.0306375    32.514  < 2e-16 ***
DESTIN_GRID1179    1.4785107  0.0301064    49.110  < 2e-16 ***
DESTIN_GRID1180    2.0499977  0.0298720    68.626  < 2e-16 ***
DESTIN_GRID1181    1.2838099  0.0302379    42.457  < 2e-16 ***
DESTIN_GRID1183    0.4604170  0.0317115    14.519  < 2e-16 ***
DESTIN_GRID1190    0.2289551  0.0435140     5.262 1.43e-07 ***
DESTIN_GRID1192    2.4097966  0.0302175    79.748  < 2e-16 ***
DESTIN_GRID1193    2.4062078  0.0300617    80.042  < 2e-16 ***
DESTIN_GRID1194    0.7290985  0.0332459    21.930  < 2e-16 ***
DESTIN_GRID1200    1.3812384  0.0302726    45.627  < 2e-16 ***
DESTIN_GRID1201    1.4848821  0.0301611    49.232  < 2e-16 ***
DESTIN_GRID1203    1.0097268  0.0306015    32.996  < 2e-16 ***
DESTIN_GRID1204    0.8588579  0.0308766    27.816  < 2e-16 ***
DESTIN_GRID1211   -3.5503935  0.3346466   -10.609  < 2e-16 ***
DESTIN_GRID1214    2.8385691  0.0299162    94.884  < 2e-16 ***
DESTIN_GRID1215   -1.0228049  0.0593542   -17.232  < 2e-16 ***
DESTIN_GRID1216   -0.1340903  0.0420639    -3.188 0.001434 ** 
DESTIN_GRID1220    2.0540442  0.0299339    68.619  < 2e-16 ***
DESTIN_GRID1221    1.8156802  0.0299211    60.682  < 2e-16 ***
DESTIN_GRID1222    1.4089986  0.0312720    45.056  < 2e-16 ***
DESTIN_GRID1223    0.0896997  0.0324090     2.768 0.005645 ** 
DESTIN_GRID1224    1.0424925  0.0306391    34.025  < 2e-16 ***
DESTIN_GRID1231   -1.5024477  0.0739213   -20.325  < 2e-16 ***
DESTIN_GRID1232   -2.1162661  0.1177464   -17.973  < 2e-16 ***
DESTIN_GRID1235    0.3098031  0.0336179     9.215  < 2e-16 ***
DESTIN_GRID1236    1.2080111  0.0323016    37.398  < 2e-16 ***
DESTIN_GRID1241    0.2803424  0.0317386     8.833  < 2e-16 ***
DESTIN_GRID1242    1.2923097  0.0302528    42.717  < 2e-16 ***
DESTIN_GRID1243    1.5793577  0.0300186    52.613  < 2e-16 ***
DESTIN_GRID1246    0.9017891  0.0306884    29.385  < 2e-16 ***
DESTIN_GRID1256    1.6862021  0.0306500    55.015  < 2e-16 ***
DESTIN_GRID1257    2.3706938  0.0302722    78.312  < 2e-16 ***
DESTIN_GRID1258    1.0792680  0.0326325    33.073  < 2e-16 ***
DESTIN_GRID1262    0.1633463  0.0318856     5.123 3.01e-07 ***
DESTIN_GRID1263    1.6177066  0.0299773    53.964  < 2e-16 ***
DESTIN_GRID1264    0.3509276  0.0317334    11.059  < 2e-16 ***
DESTIN_GRID1265    0.2423057  0.0320767     7.554 4.22e-14 ***
DESTIN_GRID1266    0.9902352  0.0309612    31.983  < 2e-16 ***
DESTIN_GRID1267   -0.5256040  0.0379306   -13.857  < 2e-16 ***
DESTIN_GRID1272   -2.8992027  0.1275218   -22.735  < 2e-16 ***
DESTIN_GRID1273    1.2206382  0.0315367    38.705  < 2e-16 ***
DESTIN_GRID1277    2.8038392  0.0298866    93.816  < 2e-16 ***
DESTIN_GRID1278    0.9178409  0.0318850    28.786  < 2e-16 ***
DESTIN_GRID128     2.3963659  0.0327876    73.088  < 2e-16 ***
DESTIN_GRID1283    3.0029311  0.0297476   100.947  < 2e-16 ***
DESTIN_GRID1284    1.8479674  0.0299358    61.731  < 2e-16 ***
DESTIN_GRID1285    2.2247161  0.0298253    74.592  < 2e-16 ***
DESTIN_GRID1286   -0.4974966  0.0342515   -14.525  < 2e-16 ***
DESTIN_GRID1289   -1.6396075  0.0570309   -28.749  < 2e-16 ***
DESTIN_GRID129    -4.2046297  0.4093214   -10.272  < 2e-16 ***
DESTIN_GRID1293   -2.8452568  0.1215160   -23.415  < 2e-16 ***
DESTIN_GRID1294    2.4541053  0.0301928    81.281  < 2e-16 ***
DESTIN_GRID1295    0.2386096  0.0351121     6.796 1.08e-11 ***
DESTIN_GRID1298    1.5638655  0.0305252    51.232  < 2e-16 ***
DESTIN_GRID1299    2.5819003  0.0301003    85.776  < 2e-16 ***
DESTIN_GRID130    -0.2031107  0.0760225    -2.672 0.007546 ** 
DESTIN_GRID1304    2.2734293  0.0298588    76.139  < 2e-16 ***
DESTIN_GRID1305    1.6880117  0.0298933    56.468  < 2e-16 ***
DESTIN_GRID1307   -0.6641163  0.0458885   -14.472  < 2e-16 ***
DESTIN_GRID1308    1.3413392  0.0302172    44.390  < 2e-16 ***
DESTIN_GRID131    -0.3054845  0.0441214    -6.924 4.40e-12 ***
DESTIN_GRID1310   -3.1389596  0.1589576   -19.747  < 2e-16 ***
DESTIN_GRID1316   -1.0548436  0.0469976   -22.445  < 2e-16 ***
DESTIN_GRID1317    0.8728279  0.0315298    27.683  < 2e-16 ***
DESTIN_GRID1318    0.2667607  0.0334265     7.981 1.46e-15 ***
DESTIN_GRID1319    3.0386703  0.0298258   101.880  < 2e-16 ***
DESTIN_GRID132     0.0054202  0.0527123     0.103 0.918101    
DESTIN_GRID1320    1.4614695  0.0314513    46.468  < 2e-16 ***
DESTIN_GRID1324    1.0832486  0.0366812    29.531  < 2e-16 ***
DESTIN_GRID1325   -0.1146026  0.0324294    -3.534 0.000409 ***
DESTIN_GRID1326    1.8156044  0.0298915    60.740  < 2e-16 ***
DESTIN_GRID1327    1.5748190  0.0299743    52.539  < 2e-16 ***
DESTIN_GRID1328    0.2773943  0.0309751     8.955  < 2e-16 ***
DESTIN_GRID1329    0.5066359  0.0315268    16.070  < 2e-16 ***
DESTIN_GRID133    -0.8992662  0.0516679   -17.405  < 2e-16 ***
DESTIN_GRID1330    1.9604151  0.0307013    63.854  < 2e-16 ***
DESTIN_GRID1331   -3.3489125  0.2443374   -13.706  < 2e-16 ***
DESTIN_GRID1333    0.0844257  0.0332660     2.538 0.011152 *  
DESTIN_GRID1334    0.7188935  0.0321421    22.366  < 2e-16 ***
DESTIN_GRID1335    0.4377099  0.0334650    13.080  < 2e-16 ***
DESTIN_GRID1336   -0.9218829  0.0656784   -14.036  < 2e-16 ***
DESTIN_GRID1337   -0.6108808  0.0416519   -14.666  < 2e-16 ***
DESTIN_GRID1338   -2.5273116  0.0790796   -31.959  < 2e-16 ***
DESTIN_GRID1339    2.9071709  0.0298241    97.477  < 2e-16 ***
DESTIN_GRID134     2.9178101  0.0303508    96.136  < 2e-16 ***
DESTIN_GRID1340    1.9936031  0.0303580    65.670  < 2e-16 ***
DESTIN_GRID1341   -1.5412815  0.1042939   -14.778  < 2e-16 ***
DESTIN_GRID1346    1.2059673  0.0304319    39.628  < 2e-16 ***
DESTIN_GRID1347    2.4578629  0.0297745    82.549  < 2e-16 ***
DESTIN_GRID1348    1.0567375  0.0301151    35.090  < 2e-16 ***
DESTIN_GRID1349    1.1532352  0.0302397    38.136  < 2e-16 ***
DESTIN_GRID1350    0.0732896  0.0332702     2.203 0.027605 *  
DESTIN_GRID1353    1.4566496  0.0302914    48.088  < 2e-16 ***
DESTIN_GRID1354   -0.1491534  0.0335542    -4.445 8.78e-06 ***
DESTIN_GRID1355    1.1377992  0.0309051    36.816  < 2e-16 ***
DESTIN_GRID1357    0.2043615  0.0359301     5.688 1.29e-08 ***
DESTIN_GRID1358    3.1169269  0.0298051   104.577  < 2e-16 ***
DESTIN_GRID1359    2.0458678  0.0300820    68.010  < 2e-16 ***
DESTIN_GRID1360    1.9550979  0.0302042    64.729  < 2e-16 ***
DESTIN_GRID1361    3.2051933  0.0298973   107.207  < 2e-16 ***
DESTIN_GRID1362   -1.1736099  0.0657685   -17.845  < 2e-16 ***
DESTIN_GRID1368    0.3577658  0.0307647    11.629  < 2e-16 ***
DESTIN_GRID1369    0.2586786  0.0307169     8.421  < 2e-16 ***
DESTIN_GRID1370    1.7293009  0.0298579    57.918  < 2e-16 ***
DESTIN_GRID1371    0.5921804  0.0308053    19.223  < 2e-16 ***
DESTIN_GRID1372   -0.2916754  0.0341313    -8.546  < 2e-16 ***
DESTIN_GRID1373   -1.3043676  0.0444404   -29.351  < 2e-16 ***
DESTIN_GRID1374    0.1633435  0.0318119     5.135 2.83e-07 ***
DESTIN_GRID1375    1.8108682  0.0303461    59.674  < 2e-16 ***
DESTIN_GRID1376    0.9916681  0.0324172    30.591  < 2e-16 ***
DESTIN_GRID1379   -0.2055597  0.0406725    -5.054 4.33e-07 ***
DESTIN_GRID1380    2.6747056  0.0298188    89.699  < 2e-16 ***
DESTIN_GRID1381    3.3012032  0.0297345   111.023  < 2e-16 ***
DESTIN_GRID1382    2.5664560  0.0301253    85.193  < 2e-16 ***
DESTIN_GRID1383    0.6927044  0.0340956    20.317  < 2e-16 ***
DESTIN_GRID1388    1.0373497  0.0301987    34.351  < 2e-16 ***
DESTIN_GRID1389    0.4695617  0.0304390    15.426  < 2e-16 ***
DESTIN_GRID1390    0.5758766  0.0303984    18.944  < 2e-16 ***
DESTIN_GRID1391    0.4519015  0.0306804    14.729  < 2e-16 ***
DESTIN_GRID1392    0.8505871  0.0362643    23.455  < 2e-16 ***
DESTIN_GRID1393   -0.9535776  0.0357196   -26.696  < 2e-16 ***
DESTIN_GRID1394    0.8169448  0.0305268    26.762  < 2e-16 ***
DESTIN_GRID1395    1.2210611  0.0302739    40.334  < 2e-16 ***
DESTIN_GRID1396    2.0952593  0.0299952    69.853  < 2e-16 ***
DESTIN_GRID1397    2.1167181  0.0300126    70.528  < 2e-16 ***
DESTIN_GRID1398    1.0146001  0.0318965    31.809  < 2e-16 ***
DESTIN_GRID1400    2.2811311  0.0303316    75.206  < 2e-16 ***
DESTIN_GRID1401    2.6066264  0.0298329    87.374  < 2e-16 ***
DESTIN_GRID1402    2.4307842  0.0300122    80.993  < 2e-16 ***
DESTIN_GRID1404    2.6301928  0.0323086    81.408  < 2e-16 ***
DESTIN_GRID1410    1.6928728  0.0298485    56.715  < 2e-16 ***
DESTIN_GRID1411    0.3975943  0.0305515    13.014  < 2e-16 ***
DESTIN_GRID1412    1.6233219  0.0298711    54.344  < 2e-16 ***
DESTIN_GRID1413    1.2966235  0.0300716    43.118  < 2e-16 ***
DESTIN_GRID1414    0.8149234  0.0303929    26.813  < 2e-16 ***
DESTIN_GRID1415    0.5102908  0.0309679    16.478  < 2e-16 ***
DESTIN_GRID1416    1.1377994  0.0304792    37.330  < 2e-16 ***
DESTIN_GRID1417    0.9524617  0.0304760    31.253  < 2e-16 ***
DESTIN_GRID1418    1.8443038  0.0300443    61.386  < 2e-16 ***
DESTIN_GRID1419    1.4754662  0.0304139    48.513  < 2e-16 ***
DESTIN_GRID1422    2.3956629  0.0300160    79.813  < 2e-16 ***
DESTIN_GRID1423    2.3050521  0.0301149    76.542  < 2e-16 ***
DESTIN_GRID1430    1.0503863  0.0302410    34.734  < 2e-16 ***
DESTIN_GRID1431    1.8946859  0.0297986    63.583  < 2e-16 ***
DESTIN_GRID1432    1.6110369  0.0298408    53.988  < 2e-16 ***
DESTIN_GRID1433   -0.4987000  0.0348643   -14.304  < 2e-16 ***
DESTIN_GRID1434    1.5571397  0.0299869    51.927  < 2e-16 ***
DESTIN_GRID1435    1.7866890  0.0299057    59.744  < 2e-16 ***
DESTIN_GRID1436   -1.1322953  0.0382866   -29.574  < 2e-16 ***
DESTIN_GRID1437    2.1420174  0.0298955    71.650  < 2e-16 ***
DESTIN_GRID1438    2.5138868  0.0297718    84.439  < 2e-16 ***
DESTIN_GRID1439    2.9791548  0.0297531   100.129  < 2e-16 ***
DESTIN_GRID1440   -0.0574397  0.0348384    -1.649 0.099200 .  
DESTIN_GRID1442    1.4165282  0.0312245    45.366  < 2e-16 ***
DESTIN_GRID1443    2.5284223  0.0299760    84.348  < 2e-16 ***
DESTIN_GRID1444    1.6556375  0.0312959    52.903  < 2e-16 ***
DESTIN_GRID1452    0.8714204  0.0301281    28.924  < 2e-16 ***
DESTIN_GRID1453    1.1970048  0.0300222    39.871  < 2e-16 ***
DESTIN_GRID1454    0.4251902  0.0307169    13.842  < 2e-16 ***
DESTIN_GRID1455    0.3571938  0.0310624    11.499  < 2e-16 ***
DESTIN_GRID1456    1.5127692  0.0300674    50.313  < 2e-16 ***
DESTIN_GRID1457    2.4860931  0.0298803    83.202  < 2e-16 ***
DESTIN_GRID1458    2.5839110  0.0297738    86.785  < 2e-16 ***
DESTIN_GRID1459    1.5516423  0.0300728    51.596  < 2e-16 ***
DESTIN_GRID1460    1.9383324  0.0299552    64.708  < 2e-16 ***
DESTIN_GRID1461    0.3115921  0.0328395     9.488  < 2e-16 ***
DESTIN_GRID1464    2.8677930  0.0299012    95.909  < 2e-16 ***
DESTIN_GRID1465    2.2559193  0.0304615    74.058  < 2e-16 ***
DESTIN_GRID1472   -0.2182144  0.0318561    -6.850 7.38e-12 ***
DESTIN_GRID1473    0.7079225  0.0302913    23.370  < 2e-16 ***
DESTIN_GRID1474    1.6149795  0.0298154    54.166  < 2e-16 ***
DESTIN_GRID1475    1.9932941  0.0297930    66.905  < 2e-16 ***
DESTIN_GRID1476    1.3885935  0.0300796    46.164  < 2e-16 ***
DESTIN_GRID1477    2.9362622  0.0296958    98.878  < 2e-16 ***
DESTIN_GRID1478    1.1219141  0.0303124    37.012  < 2e-16 ***
DESTIN_GRID1479    1.0281761  0.0303437    33.884  < 2e-16 ***
DESTIN_GRID1480    3.0513959  0.0297049   102.724  < 2e-16 ***
DESTIN_GRID1481    0.5528028  0.0317768    17.396  < 2e-16 ***
DESTIN_GRID1482    0.4659261  0.0331324    14.063  < 2e-16 ***
DESTIN_GRID1485    1.7451738  0.0309019    56.475  < 2e-16 ***
DESTIN_GRID1494   -0.1096260  0.0311477    -3.520 0.000432 ***
DESTIN_GRID1495    0.6455027  0.0301685    21.397  < 2e-16 ***
DESTIN_GRID1496    1.6907250  0.0298149    56.707  < 2e-16 ***
DESTIN_GRID1497    1.4029575  0.0300046    46.758  < 2e-16 ***
DESTIN_GRID1498    1.6811661  0.0299720    56.091  < 2e-16 ***
DESTIN_GRID1499    2.3223281  0.0298024    77.924  < 2e-16 ***
DESTIN_GRID150     0.7971672  0.0449043    17.753  < 2e-16 ***
DESTIN_GRID1500    2.0969199  0.0300953    69.676  < 2e-16 ***
DESTIN_GRID1501    2.3143701  0.0298229    77.604  < 2e-16 ***
DESTIN_GRID1502    2.1592343  0.0299334    72.135  < 2e-16 ***
DESTIN_GRID1506   -1.6630649  0.0800129   -20.785  < 2e-16 ***
DESTIN_GRID151     0.1430187  0.0566435     2.525 0.011573 *  
DESTIN_GRID1514   -5.0468815  0.4481934   -11.260  < 2e-16 ***
DESTIN_GRID1515   -0.2069000  0.0339091    -6.102 1.05e-09 ***
DESTIN_GRID1516    1.3438255  0.0299108    44.928  < 2e-16 ***
DESTIN_GRID1517    1.7754596  0.0299989    59.184  < 2e-16 ***
DESTIN_GRID1518    1.4753347  0.0300133    49.156  < 2e-16 ***
DESTIN_GRID1519    2.5080791  0.0299706    83.685  < 2e-16 ***
DESTIN_GRID152    -0.2511478  0.0616552    -4.073 4.63e-05 ***
DESTIN_GRID1520    1.7441335  0.0300276    58.084  < 2e-16 ***
DESTIN_GRID1521    0.0614924  0.0320805     1.917 0.055261 .  
DESTIN_GRID1522    2.7193895  0.0297755    91.330  < 2e-16 ***
DESTIN_GRID1523    1.1683764  0.0318039    36.737  < 2e-16 ***
DESTIN_GRID1524    1.5268953  0.0308874    49.434  < 2e-16 ***
DESTIN_GRID1527    1.1499051  0.0330563    34.786  < 2e-16 ***
DESTIN_GRID153    -0.1355452  0.0488444    -2.775 0.005520 ** 
DESTIN_GRID1535   -1.1445489  0.0558544   -20.492  < 2e-16 ***
DESTIN_GRID1536   -0.0033611  0.0326189    -0.103 0.917929    
DESTIN_GRID1537    0.6924177  0.0303651    22.803  < 2e-16 ***
DESTIN_GRID1538    1.4164070  0.0299215    47.337  < 2e-16 ***
DESTIN_GRID1539    1.4060428  0.0299361    46.968  < 2e-16 ***
DESTIN_GRID154    -0.9991730  0.0580629   -17.208  < 2e-16 ***
DESTIN_GRID1540    1.8356816  0.0298887    61.417  < 2e-16 ***
DESTIN_GRID1541    3.0091853  0.0300335   100.194  < 2e-16 ***
DESTIN_GRID1542   -0.0501608  0.0339999    -1.475 0.140125    
DESTIN_GRID1543    0.5865055  0.0362833    16.165  < 2e-16 ***
DESTIN_GRID1544    1.4786404  0.0307302    48.117  < 2e-16 ***
DESTIN_GRID1547   -1.5163298  0.0660418   -22.960  < 2e-16 ***
DESTIN_GRID155    -0.3981985  0.0421991    -9.436  < 2e-16 ***
DESTIN_GRID1556   -0.7642769  0.0465960   -16.402  < 2e-16 ***
DESTIN_GRID1557    0.6633763  0.0310358    21.375  < 2e-16 ***
DESTIN_GRID1558    1.0543263  0.0350141    30.111  < 2e-16 ***
DESTIN_GRID1559    1.4882049  0.0299217    49.737  < 2e-16 ***
DESTIN_GRID156     0.0571092  0.0523728     1.090 0.275521    
DESTIN_GRID1560    2.4426845  0.0297701    82.052  < 2e-16 ***
DESTIN_GRID1561    2.2189037  0.0300169    73.922  < 2e-16 ***
DESTIN_GRID1562   -0.8967348  0.0363663   -24.658  < 2e-16 ***
DESTIN_GRID1563    1.0252513  0.0303949    33.731  < 2e-16 ***
DESTIN_GRID1564   -0.1086675  0.0329434    -3.299 0.000972 ***
DESTIN_GRID1565    0.4113178  0.0322463    12.755  < 2e-16 ***
DESTIN_GRID1566    0.2478032  0.0341227     7.262 3.81e-13 ***
DESTIN_GRID1567   -1.9554803  0.0942189   -20.755  < 2e-16 ***
DESTIN_GRID1568   -1.4791172  0.0696094   -21.249  < 2e-16 ***
DESTIN_GRID1578   -1.7400189  0.0635770   -27.369  < 2e-16 ***
DESTIN_GRID1580   -0.0263198  0.0324766    -0.810 0.417697    
DESTIN_GRID1581   -0.7232545  0.0331459   -21.820  < 2e-16 ***
DESTIN_GRID1582    2.1274200  0.0298156    71.353  < 2e-16 ***
DESTIN_GRID1583    1.5177054  0.0328619    46.184  < 2e-16 ***
DESTIN_GRID1584    1.0004336  0.0310712    32.198  < 2e-16 ***
DESTIN_GRID1585    1.9189392  0.0301696    63.605  < 2e-16 ***
DESTIN_GRID1586    0.0058006  0.0327269     0.177 0.859319    
DESTIN_GRID1589   -0.5059388  0.0402441   -12.572  < 2e-16 ***
DESTIN_GRID1590   -1.4786084  0.0733601   -20.155  < 2e-16 ***
DESTIN_GRID1600    1.8811603  0.0310832    60.520  < 2e-16 ***
DESTIN_GRID1601    0.8562724  0.0302336    28.322  < 2e-16 ***
DESTIN_GRID1602    1.6484330  0.0300825    54.797  < 2e-16 ***
DESTIN_GRID1603    2.2775965  0.0299037    76.164  < 2e-16 ***
DESTIN_GRID1604    1.0210852  0.0304546    33.528  < 2e-16 ***
DESTIN_GRID1605    1.7331790  0.0299917    57.789  < 2e-16 ***
DESTIN_GRID1606    2.1195259  0.0305093    69.471  < 2e-16 ***
DESTIN_GRID1607    0.7620308  0.0312445    24.389  < 2e-16 ***
DESTIN_GRID1608    2.6468648  0.0299021    88.518  < 2e-16 ***
DESTIN_GRID1609    2.4063419  0.0300927    79.964  < 2e-16 ***
DESTIN_GRID1610   -1.0648208  0.0746461   -14.265  < 2e-16 ***
DESTIN_GRID1622    1.3356888  0.0330817    40.375  < 2e-16 ***
DESTIN_GRID1623    2.1598271  0.0297989    72.480  < 2e-16 ***
DESTIN_GRID1624    1.0493725  0.0304520    34.460  < 2e-16 ***
DESTIN_GRID1625    2.1952416  0.0299057    73.405  < 2e-16 ***
DESTIN_GRID1626    3.0326008  0.0297081   102.080  < 2e-16 ***
DESTIN_GRID1627    0.9770897  0.0304275    32.112  < 2e-16 ***
DESTIN_GRID1628    2.9233783  0.0297647    98.216  < 2e-16 ***
DESTIN_GRID1629    1.7624196  0.0303705    58.031  < 2e-16 ***
DESTIN_GRID1630    1.6613526  0.0306683    54.172  < 2e-16 ***
DESTIN_GRID1631   -1.5210111  0.0615845   -24.698  < 2e-16 ***
DESTIN_GRID1642   -0.4026482  0.0400497   -10.054  < 2e-16 ***
DESTIN_GRID1643    1.8707669  0.0299008    62.566  < 2e-16 ***
DESTIN_GRID1644    0.5175872  0.0315199    16.421  < 2e-16 ***
DESTIN_GRID1645    1.6257080  0.0300611    54.080  < 2e-16 ***
DESTIN_GRID1646    1.3106033  0.0309541    42.340  < 2e-16 ***
DESTIN_GRID1647    1.7813365  0.0299638    59.450  < 2e-16 ***
DESTIN_GRID1648    1.9321293  0.0299497    64.512  < 2e-16 ***
DESTIN_GRID1649    2.6045287  0.0298236    87.331  < 2e-16 ***
DESTIN_GRID1650    2.6615123  0.0299952    88.731  < 2e-16 ***
DESTIN_GRID1664   -2.2596674  0.0904241   -24.990  < 2e-16 ***
DESTIN_GRID1665    2.2335860  0.0298030    74.945  < 2e-16 ***
DESTIN_GRID1666    1.1820275  0.0301617    39.190  < 2e-16 ***
DESTIN_GRID1667    0.1289824  0.0351801     3.666 0.000246 ***
DESTIN_GRID1668    2.0223832  0.0299237    67.585  < 2e-16 ***
DESTIN_GRID1670    2.9101272  0.0297648    97.771  < 2e-16 ***
DESTIN_GRID1671    3.1608589  0.0300779   105.089  < 2e-16 ***
DESTIN_GRID1672    2.7065292  0.0301513    89.765  < 2e-16 ***
DESTIN_GRID1684    1.3079623  0.0317382    41.211  < 2e-16 ***
DESTIN_GRID1685    1.7337315  0.0300066    57.778  < 2e-16 ***
DESTIN_GRID1686    1.3031417  0.0301190    43.266  < 2e-16 ***
DESTIN_GRID1687    1.4760089  0.0305252    48.354  < 2e-16 ***
DESTIN_GRID1688    0.7746469  0.0307225    25.214  < 2e-16 ***
DESTIN_GRID1689    0.2947571  0.0316787     9.305  < 2e-16 ***
DESTIN_GRID1690    1.4689304  0.0304341    48.266  < 2e-16 ***
DESTIN_GRID1691    2.3448079  0.0299113    78.392  < 2e-16 ***
DESTIN_GRID1692    1.7659384  0.0306163    57.680  < 2e-16 ***
DESTIN_GRID1706    1.6081846  0.0302172    53.221  < 2e-16 ***
DESTIN_GRID1707    1.5716627  0.0299686    52.444  < 2e-16 ***
DESTIN_GRID1708    1.8192558  0.0299218    60.800  < 2e-16 ***
DESTIN_GRID1709    1.4964199  0.0301380    49.652  < 2e-16 ***
DESTIN_GRID1710    2.3489662  0.0298953    78.573  < 2e-16 ***
DESTIN_GRID1711    2.3316945  0.0298941    77.998  < 2e-16 ***
DESTIN_GRID1712    2.6798070  0.0297776    89.994  < 2e-16 ***
DESTIN_GRID1713    0.2176752  0.0325569     6.686 2.29e-11 ***
DESTIN_GRID1714    2.7372186  0.0299857    91.284  < 2e-16 ***
DESTIN_GRID172     0.0534446  0.1149911     0.465 0.642095    
DESTIN_GRID1727    1.7081407  0.0300281    56.885  < 2e-16 ***
DESTIN_GRID1728    1.7973442  0.0299170    60.078  < 2e-16 ***
DESTIN_GRID1729    1.4008276  0.0301033    46.534  < 2e-16 ***
DESTIN_GRID1730   -0.7161136  0.0373843   -19.155  < 2e-16 ***
DESTIN_GRID1731    2.0215627  0.0300185    67.344  < 2e-16 ***
DESTIN_GRID1732    2.3696640  0.0298199    79.466  < 2e-16 ***
DESTIN_GRID1733    2.0889768  0.0299490    69.751  < 2e-16 ***
DESTIN_GRID1734    2.6504159  0.0298399    88.821  < 2e-16 ***
DESTIN_GRID1735    3.4318027  0.0302709   113.370  < 2e-16 ***
DESTIN_GRID174     0.0659600  0.0540589     1.220 0.222408    
DESTIN_GRID1748    0.9314681  0.0306731    30.368  < 2e-16 ***
DESTIN_GRID1749    2.2493893  0.0297989    75.486  < 2e-16 ***
DESTIN_GRID175     2.2838302  0.0305320    74.801  < 2e-16 ***
DESTIN_GRID1750    1.1041088  0.0302440    36.507  < 2e-16 ***
DESTIN_GRID1751    0.2910689  0.0318764     9.131  < 2e-16 ***
DESTIN_GRID1753    2.5017063  0.0298299    83.866  < 2e-16 ***
DESTIN_GRID1754    3.0383409  0.0297299   102.198  < 2e-16 ***
DESTIN_GRID1755    2.4303526  0.0298600    81.391  < 2e-16 ***
DESTIN_GRID1756    1.9993833  0.0301042    66.415  < 2e-16 ***
DESTIN_GRID1757   -0.2298929  0.0433623    -5.302 1.15e-07 ***
DESTIN_GRID176    -0.3174274  0.0435513    -7.289 3.13e-13 ***
DESTIN_GRID1769    1.4684039  0.0300966    48.790  < 2e-16 ***
DESTIN_GRID1770    0.8057435  0.0305577    26.368  < 2e-16 ***
DESTIN_GRID1771    0.8964835  0.0308138    29.094  < 2e-16 ***
DESTIN_GRID1772    0.3245813  0.0369046     8.795  < 2e-16 ***
DESTIN_GRID1774    1.9863415  0.0300379    66.128  < 2e-16 ***
DESTIN_GRID1775    1.5884793  0.0302142    52.574  < 2e-16 ***
DESTIN_GRID1776    3.1010915  0.0297482   104.245  < 2e-16 ***
DESTIN_GRID1777    2.7683713  0.0298714    92.676  < 2e-16 ***
DESTIN_GRID1778    1.4001157  0.0331315    42.259  < 2e-16 ***
DESTIN_GRID1790    2.1885043  0.0298989    73.197  < 2e-16 ***
DESTIN_GRID1791    1.1021562  0.0305189    36.114  < 2e-16 ***
DESTIN_GRID1792    1.7644860  0.0303119    58.211  < 2e-16 ***
DESTIN_GRID1793    0.7999104  0.0309240    25.867  < 2e-16 ***
DESTIN_GRID1794    0.1676268  0.0428394     3.913 9.12e-05 ***
DESTIN_GRID1795   -0.6826075  0.0409231   -16.680  < 2e-16 ***
DESTIN_GRID1796    2.5141397  0.0299002    84.084  < 2e-16 ***
DESTIN_GRID1797    2.5120389  0.0298534    84.146  < 2e-16 ***
DESTIN_GRID1798    2.7020122  0.0298541    90.507  < 2e-16 ***
DESTIN_GRID1799    2.0261711  0.0304189    66.609  < 2e-16 ***
DESTIN_GRID1800    1.2970806  0.0369596    35.095  < 2e-16 ***
DESTIN_GRID1811    1.2001293  0.0303232    39.578  < 2e-16 ***
DESTIN_GRID1812    2.3845186  0.0297879    80.050  < 2e-16 ***
DESTIN_GRID1813    2.2652925  0.0298494    75.891  < 2e-16 ***
DESTIN_GRID1817    2.4084625  0.0300413    80.172  < 2e-16 ***
DESTIN_GRID1818    2.4628924  0.0299007    82.369  < 2e-16 ***
DESTIN_GRID1819    3.0736301  0.0297615   103.275  < 2e-16 ***
DESTIN_GRID1820    0.2140643  0.0374166     5.721 1.06e-08 ***
DESTIN_GRID1832    2.4271267  0.0298627    81.276  < 2e-16 ***
DESTIN_GRID1833    1.2321124  0.0302589    40.719  < 2e-16 ***
DESTIN_GRID1834    1.6105700  0.0300495    53.597  < 2e-16 ***
DESTIN_GRID1835    0.8326819  0.0311465    26.734  < 2e-16 ***
DESTIN_GRID1837   -1.2588604  0.0685128   -18.374  < 2e-16 ***
DESTIN_GRID1839    1.8664829  0.0303700    61.458  < 2e-16 ***
DESTIN_GRID1840    3.6479028  0.0297035   122.811  < 2e-16 ***
DESTIN_GRID1841    0.3412547  0.0363828     9.380  < 2e-16 ***
DESTIN_GRID1842    2.6341107  0.0310414    84.858  < 2e-16 ***
DESTIN_GRID1853    1.6597408  0.0300141    55.299  < 2e-16 ***
DESTIN_GRID1854    1.8080114  0.0300024    60.262  < 2e-16 ***
DESTIN_GRID1855    2.4788590  0.0298463    83.054  < 2e-16 ***
DESTIN_GRID1858   -0.5923407  0.0469037   -12.629  < 2e-16 ***
DESTIN_GRID1860    2.9297242  0.0306712    95.520  < 2e-16 ***
DESTIN_GRID1861    2.5352194  0.0299832    84.555  < 2e-16 ***
DESTIN_GRID1874    2.0771362  0.0300742    69.067  < 2e-16 ***
DESTIN_GRID1875    0.3113555  0.0327234     9.515  < 2e-16 ***
DESTIN_GRID1876    2.3167412  0.0312358    74.169  < 2e-16 ***
DESTIN_GRID1877    1.9668555  0.0300099    65.540  < 2e-16 ***
DESTIN_GRID1880   -1.1756099  0.0592350   -19.847  < 2e-16 ***
DESTIN_GRID1882    2.6332966  0.0299820    87.829  < 2e-16 ***
DESTIN_GRID1883    2.5250123  0.0309429    81.602  < 2e-16 ***
DESTIN_GRID1895    1.6782640  0.0300809    55.792  < 2e-16 ***
DESTIN_GRID1896    0.7353413  0.0309012    23.796  < 2e-16 ***
DESTIN_GRID1897    1.0411633  0.0310965    33.482  < 2e-16 ***
DESTIN_GRID1898   -2.2880858  0.0856089   -26.727  < 2e-16 ***
DESTIN_GRID1901   -1.7221707  0.0935481   -18.409  < 2e-16 ***
DESTIN_GRID1903    1.9347306  0.0307351    62.949  < 2e-16 ***
DESTIN_GRID1917    0.9557543  0.0307145    31.117  < 2e-16 ***
DESTIN_GRID1918    2.5518467  0.0300642    84.880  < 2e-16 ***
DESTIN_GRID1919    2.2526221  0.0299471    75.220  < 2e-16 ***
DESTIN_GRID1922    0.1740814  0.0388809     4.477 7.56e-06 ***
DESTIN_GRID1924    2.0129450  0.0308572    65.234  < 2e-16 ***
DESTIN_GRID1937    1.4815311  0.0303217    48.860  < 2e-16 ***
DESTIN_GRID1938    2.2371379  0.0299107    74.794  < 2e-16 ***
DESTIN_GRID1939    2.7822219  0.0298578    93.183  < 2e-16 ***
DESTIN_GRID1942   -0.7566802  0.0486573   -15.551  < 2e-16 ***
DESTIN_GRID195    -3.3188073  0.2202193   -15.070  < 2e-16 ***
DESTIN_GRID1959    1.1442959  0.0307892    37.165  < 2e-16 ***
DESTIN_GRID196    -0.5883254  0.0462792   -12.713  < 2e-16 ***
DESTIN_GRID1960    3.3778685  0.0296837   113.796  < 2e-16 ***
DESTIN_GRID1961    1.5706247  0.0304308    51.613  < 2e-16 ***
DESTIN_GRID1962    2.5937078  0.0299036    86.736  < 2e-16 ***
DESTIN_GRID1964   -0.7442758  0.0691628   -10.761  < 2e-16 ***
DESTIN_GRID197    -1.5578045  0.1062729   -14.659  < 2e-16 ***
DESTIN_GRID1979    1.2665323  0.0307540    41.183  < 2e-16 ***
DESTIN_GRID1980   -0.1310573  0.0324432    -4.040 5.35e-05 ***
DESTIN_GRID1981    2.1530915  0.0299762    71.827  < 2e-16 ***
DESTIN_GRID1982    1.1560227  0.0315792    36.607  < 2e-16 ***
DESTIN_GRID1983    2.5951973  0.0299314    86.705  < 2e-16 ***
DESTIN_GRID1984    1.5408677  0.0305364    50.460  < 2e-16 ***
DESTIN_GRID1985    1.8414960  0.0303772    60.621  < 2e-16 ***
DESTIN_GRID2001    1.6503247  0.0301553    54.728  < 2e-16 ***
DESTIN_GRID2002    2.1705589  0.0298668    72.675  < 2e-16 ***
DESTIN_GRID2003    2.0106820  0.0300110    66.998  < 2e-16 ***
DESTIN_GRID2004    2.8280264  0.0298427    94.764  < 2e-16 ***
DESTIN_GRID2005    2.5273583  0.0299064    84.509  < 2e-16 ***
DESTIN_GRID2006    1.7759502  0.0305191    58.191  < 2e-16 ***
DESTIN_GRID2007    0.5828703  0.0342855    17.000  < 2e-16 ***
DESTIN_GRID2022    2.1873198  0.0301941    72.442  < 2e-16 ***
DESTIN_GRID2023    2.8337456  0.0297855    95.138  < 2e-16 ***
DESTIN_GRID2024    2.1264109  0.0299290    71.049  < 2e-16 ***
DESTIN_GRID2025    2.1820334  0.0299718    72.803  < 2e-16 ***
DESTIN_GRID2026    1.5910499  0.0307304    51.774  < 2e-16 ***
DESTIN_GRID2027    2.9280542  0.0298357    98.139  < 2e-16 ***
DESTIN_GRID2043    1.4857405  0.0304651    48.769  < 2e-16 ***
DESTIN_GRID2044    2.3953906  0.0298553    80.233  < 2e-16 ***
DESTIN_GRID2045   -0.4382587  0.0410733   -10.670  < 2e-16 ***
DESTIN_GRID2046    2.4947369  0.0297947    83.731  < 2e-16 ***
DESTIN_GRID2047    2.2243446  0.0299926    74.163  < 2e-16 ***
DESTIN_GRID2048    2.3190547  0.0299696    77.380  < 2e-16 ***
DESTIN_GRID2049   -0.2305144  0.0375311    -6.142 8.15e-10 ***
DESTIN_GRID2064    2.1951267  0.0299915    73.192  < 2e-16 ***
DESTIN_GRID2065    1.2009610  0.0304893    39.390  < 2e-16 ***
DESTIN_GRID2066   -0.3374391  0.0394385    -8.556  < 2e-16 ***
DESTIN_GRID2067    3.5777822  0.0296791   120.549  < 2e-16 ***
DESTIN_GRID2068    2.5075849  0.0301948    83.047  < 2e-16 ***
DESTIN_GRID2069    2.5088073  0.0299969    83.636  < 2e-16 ***
DESTIN_GRID2085    1.1700664  0.0308557    37.921  < 2e-16 ***
DESTIN_GRID2086    2.5735304  0.0298376    86.251  < 2e-16 ***
DESTIN_GRID2087    1.1826794  0.0305114    38.762  < 2e-16 ***
DESTIN_GRID2088    2.0633068  0.0299259    68.947  < 2e-16 ***
DESTIN_GRID2089    1.5642534  0.0304826    51.316  < 2e-16 ***
DESTIN_GRID2090    3.2149337  0.0297387   108.106  < 2e-16 ***
DESTIN_GRID2091   -1.0905211  0.0622916   -17.507  < 2e-16 ***
DESTIN_GRID2105    0.5628895  0.0898419     6.265 3.72e-10 ***
DESTIN_GRID2106   -0.0894522  0.0337151    -2.653 0.007974 ** 
DESTIN_GRID2107    0.8771580  0.0307943    28.484  < 2e-16 ***
DESTIN_GRID2108    2.3474083  0.0299818    78.294  < 2e-16 ***
DESTIN_GRID2109    2.0312282  0.0299805    67.752  < 2e-16 ***
DESTIN_GRID2110    1.4611955  0.0306745    47.636  < 2e-16 ***
DESTIN_GRID2111   -1.1115416  0.0605854   -18.347  < 2e-16 ***
DESTIN_GRID2128    0.7936527  0.0320730    24.745  < 2e-16 ***
DESTIN_GRID2129    0.7347002  0.0318995    23.032  < 2e-16 ***
DESTIN_GRID2130    2.5219683  0.0298192    84.575  < 2e-16 ***
DESTIN_GRID2131    2.8377113  0.0299141    94.862  < 2e-16 ***
DESTIN_GRID2132    2.1673015  0.0300583    72.103  < 2e-16 ***
DESTIN_GRID2148    1.4593106  0.0314312    46.429  < 2e-16 ***
DESTIN_GRID2149   -0.0452898  0.0337694    -1.341 0.179872    
DESTIN_GRID215    -0.0923210  0.0788995    -1.170 0.241957    
DESTIN_GRID2150    2.3899883  0.0299470    79.807  < 2e-16 ***
DESTIN_GRID2151    2.9827415  0.0297501   100.260  < 2e-16 ***
DESTIN_GRID2152    3.0284667  0.0298048   101.610  < 2e-16 ***
DESTIN_GRID2153    2.4383902  0.0301367    80.911  < 2e-16 ***
DESTIN_GRID216     2.7563243  0.0302565    91.098  < 2e-16 ***
DESTIN_GRID217     0.7085634  0.0356825    19.857  < 2e-16 ***
DESTIN_GRID2171    1.8518906  0.0301382    61.447  < 2e-16 ***
DESTIN_GRID2172    1.5253132  0.0305533    49.923  < 2e-16 ***
DESTIN_GRID2173    1.9131005  0.0300484    63.667  < 2e-16 ***
DESTIN_GRID2174    2.4472066  0.0300218    81.514  < 2e-16 ***
DESTIN_GRID2191    1.2401134  0.0318302    38.960  < 2e-16 ***
DESTIN_GRID2192    0.6185064  0.0322470    19.180  < 2e-16 ***
DESTIN_GRID2193    1.9371882  0.0302110    64.122  < 2e-16 ***
DESTIN_GRID2194    2.3161126  0.0299617    77.302  < 2e-16 ***
DESTIN_GRID2195    1.5593907  0.0356655    43.723  < 2e-16 ***
DESTIN_GRID2212   -0.3384180  0.0643007    -5.263 1.42e-07 ***
DESTIN_GRID2213   -0.1940204  0.0376621    -5.152 2.58e-07 ***
DESTIN_GRID2214    0.2580979  0.0384479     6.713 1.91e-11 ***
DESTIN_GRID2215    2.2032300  0.0301739    73.018  < 2e-16 ***
DESTIN_GRID2216    0.0768517  0.0344118     2.233 0.025529 *  
DESTIN_GRID2233   -0.4043289  0.0470001    -8.603  < 2e-16 ***
DESTIN_GRID2234    0.6079565  0.0401239    15.152  < 2e-16 ***
DESTIN_GRID2235    1.4187573  0.0318684    44.519  < 2e-16 ***
DESTIN_GRID2236    0.2363459  0.0343631     6.878 6.07e-12 ***
DESTIN_GRID2237   -1.0042953  0.0548593   -18.307  < 2e-16 ***
DESTIN_GRID2256   -0.1146739  0.0448453    -2.557 0.010555 *  
DESTIN_GRID2257    0.2417074  0.0359610     6.721 1.80e-11 ***
DESTIN_GRID2258    0.7570387  0.0322706    23.459  < 2e-16 ***
DESTIN_GRID2259   -0.5027231  0.0598943    -8.394  < 2e-16 ***
DESTIN_GRID2277    0.1793906  0.0478301     3.751 0.000176 ***
DESTIN_GRID2278    1.4256673  0.0320631    44.464  < 2e-16 ***
DESTIN_GRID2279   -0.3613062  0.0373261    -9.680  < 2e-16 ***
DESTIN_GRID2280   -0.9573508  0.0666030   -14.374  < 2e-16 ***
DESTIN_GRID2297    0.4348635  0.0362617    11.992  < 2e-16 ***
DESTIN_GRID23      1.1293231  0.0913252    12.366  < 2e-16 ***
DESTIN_GRID2300   -1.2872254  0.0638936   -20.146  < 2e-16 ***
DESTIN_GRID2301    0.1730648  0.0351737     4.920 8.64e-07 ***
DESTIN_GRID2318    1.9103703  0.0311030    61.421  < 2e-16 ***
DESTIN_GRID2319    2.8205729  0.0304060    92.764  < 2e-16 ***
DESTIN_GRID2322    1.5755911  0.0314970    50.024  < 2e-16 ***
DESTIN_GRID2337    2.7787750  0.0319017    87.104  < 2e-16 ***
DESTIN_GRID2341    2.4867446  0.0302942    82.087  < 2e-16 ***
DESTIN_GRID2343    1.3695261  0.0316332    43.294  < 2e-16 ***
DESTIN_GRID2361    1.0284933  0.0324331    31.711  < 2e-16 ***
DESTIN_GRID2364    0.7359107  0.0348689    21.105  < 2e-16 ***
DESTIN_GRID237    -2.3948619  0.1536386   -15.588  < 2e-16 ***
DESTIN_GRID2379    1.6165273  0.0345849    46.741  < 2e-16 ***
DESTIN_GRID238    -1.0665887  0.0543741   -19.616  < 2e-16 ***
DESTIN_GRID2384    1.2511597  0.0337298    37.094  < 2e-16 ***
DESTIN_GRID239    -0.8782088  0.1130574    -7.768 7.99e-15 ***
DESTIN_GRID2405    0.8383568  0.0342550    24.474  < 2e-16 ***
DESTIN_GRID2406   -0.8407380  0.0541349   -15.530  < 2e-16 ***
DESTIN_GRID2426    1.1751094  0.0432808    27.151  < 2e-16 ***
DESTIN_GRID2427    1.6964421  0.0323429    52.452  < 2e-16 ***
DESTIN_GRID2505    0.4349270  0.0659508     6.595 4.26e-11 ***
DESTIN_GRID257    -0.7825463  0.0591208   -13.236  < 2e-16 ***
DESTIN_GRID258     0.1629639  0.0400596     4.068 4.74e-05 ***
DESTIN_GRID259     0.4231245  0.0425071     9.954  < 2e-16 ***
DESTIN_GRID278     0.0155884  0.0517594     0.301 0.763284    
DESTIN_GRID279    -0.7028521  0.0464012   -15.147  < 2e-16 ***
DESTIN_GRID280    -0.2452640  0.0505502    -4.852 1.22e-06 ***
DESTIN_GRID298    -3.6115285  1.0004387    -3.610 0.000306 ***
DESTIN_GRID299    -0.6833048  0.0562199   -12.154  < 2e-16 ***
DESTIN_GRID300     2.3679739  0.0308162    76.842  < 2e-16 ***
DESTIN_GRID320    -0.8788118  0.0658598   -13.344  < 2e-16 ***
DESTIN_GRID321     0.2838336  0.0928954     3.055 0.002248 ** 
DESTIN_GRID322     0.4913721  0.0550684     8.923  < 2e-16 ***
DESTIN_GRID340     1.3968292  0.0386827    36.110  < 2e-16 ***
DESTIN_GRID341    -0.1293110  0.0458097    -2.823 0.004761 ** 
DESTIN_GRID342     0.5248577  0.0418790    12.533  < 2e-16 ***
DESTIN_GRID363    -0.4653770  0.0477717    -9.742  < 2e-16 ***
DESTIN_GRID364     0.5900469  0.0385362    15.311  < 2e-16 ***
DESTIN_GRID383    -0.1447024  0.0400990    -3.609 0.000308 ***
DESTIN_GRID384    -0.3177735  0.0457605    -6.944 3.80e-12 ***
DESTIN_GRID385    -0.1067383  0.0479360    -2.227 0.025969 *  
DESTIN_GRID404     0.5660548  0.0482784    11.725  < 2e-16 ***
DESTIN_GRID405    -0.6459402  0.0582794   -11.084  < 2e-16 ***
DESTIN_GRID406     3.5690025  0.0297557   119.943  < 2e-16 ***
DESTIN_GRID407     1.7134554  0.0342747    49.992  < 2e-16 ***
DESTIN_GRID408     2.2730873  0.0313669    72.468  < 2e-16 ***
DESTIN_GRID425    -1.5632632  0.0898416   -17.400  < 2e-16 ***
DESTIN_GRID426    -0.9084701  0.0456474   -19.902  < 2e-16 ***
DESTIN_GRID427     0.0263034  0.0361299     0.728 0.466600    
DESTIN_GRID428     0.2409227  0.0380399     6.333 2.40e-10 ***
DESTIN_GRID429     2.2225458  0.0339466    65.472  < 2e-16 ***
DESTIN_GRID44      0.6732771  0.0809906     8.313  < 2e-16 ***
DESTIN_GRID446     0.0214443  0.0649746     0.330 0.741368    
DESTIN_GRID447    -0.9291039  0.0611778   -15.187  < 2e-16 ***
DESTIN_GRID448    -0.0412359  0.0409726    -1.006 0.314211    
DESTIN_GRID449     2.3901937  0.0303862    78.661  < 2e-16 ***
DESTIN_GRID450     1.4069034  0.0323114    43.542  < 2e-16 ***
DESTIN_GRID46      1.1608963  0.0482589    24.056  < 2e-16 ***
DESTIN_GRID468     0.2191042  0.0401036     5.463 4.67e-08 ***
DESTIN_GRID469     0.4398013  0.0340394    12.920  < 2e-16 ***
DESTIN_GRID470     2.9388786  0.0299044    98.276  < 2e-16 ***
DESTIN_GRID471     1.8357450  0.0320501    57.277  < 2e-16 ***
DESTIN_GRID488    -0.6547050  0.0666032    -9.830  < 2e-16 ***
DESTIN_GRID489    -0.2012391  0.1006804    -1.999 0.045631 *  
DESTIN_GRID490     1.5080147  0.0320916    46.991  < 2e-16 ***
DESTIN_GRID491     1.7025775  0.0308116    55.258  < 2e-16 ***
DESTIN_GRID493    -2.7726602  0.2062617   -13.442  < 2e-16 ***
DESTIN_GRID494    -0.6814886  0.0687266    -9.916  < 2e-16 ***
DESTIN_GRID509    -0.5030784  0.0463808   -10.847  < 2e-16 ***
DESTIN_GRID510    -0.2518379  0.0424643    -5.931 3.02e-09 ***
DESTIN_GRID511     0.9175407  0.0315103    29.119  < 2e-16 ***
DESTIN_GRID512     3.3349807  0.0297766   112.000  < 2e-16 ***
DESTIN_GRID513     0.0303698  0.0412340     0.737 0.461412    
DESTIN_GRID514     0.0198256  0.0528133     0.375 0.707370    
DESTIN_GRID515    -1.3169313  0.0858528   -15.339  < 2e-16 ***
DESTIN_GRID530    -0.7230379  0.0710209   -10.181  < 2e-16 ***
DESTIN_GRID531     0.5445254  0.0354536    15.359  < 2e-16 ***
DESTIN_GRID532    -0.1516666  0.0364170    -4.165 3.12e-05 ***
DESTIN_GRID533     3.4305110  0.0297456   115.328  < 2e-16 ***
DESTIN_GRID534     3.5388572  0.0298003   118.752  < 2e-16 ***
DESTIN_GRID536     0.4743226  0.0372130    12.746  < 2e-16 ***
DESTIN_GRID537    -2.3436924  0.1571201   -14.917  < 2e-16 ***
DESTIN_GRID538    -1.1079496  0.1024334   -10.816  < 2e-16 ***
DESTIN_GRID539    -2.8579810  1.0004386    -2.857 0.004280 ** 
DESTIN_GRID551    -0.8811325  0.0665089   -13.248  < 2e-16 ***
DESTIN_GRID552     0.5140128  0.0510328    10.072  < 2e-16 ***
DESTIN_GRID553    -0.0926298  0.0354067    -2.616 0.008892 ** 
DESTIN_GRID554     2.8442685  0.0298657    95.235  < 2e-16 ***
DESTIN_GRID555     2.4108157  0.0306317    78.703  < 2e-16 ***
DESTIN_GRID559    -0.5371682  0.0642180    -8.365  < 2e-16 ***
DESTIN_GRID560     1.3965745  0.0439176    31.800  < 2e-16 ***
DESTIN_GRID561    -2.9053262  0.4481933    -6.482 9.03e-11 ***
DESTIN_GRID572    -2.2967177  0.2688974    -8.541  < 2e-16 ***
DESTIN_GRID573    -0.2560475  0.0437076    -5.858 4.68e-09 ***
DESTIN_GRID574     0.4606953  0.0461228     9.988  < 2e-16 ***
DESTIN_GRID575     4.0944335  0.0296656   138.020  < 2e-16 ***
DESTIN_GRID576     2.5512908  0.0299744    85.116  < 2e-16 ***
DESTIN_GRID578    -1.5569256  0.0769916   -20.222  < 2e-16 ***
DESTIN_GRID582    -0.9535403  0.0935479   -10.193  < 2e-16 ***
DESTIN_GRID583    -1.2105405  0.2375561    -5.096 3.47e-07 ***
DESTIN_GRID584     0.1213995  0.0587754     2.065 0.038878 *  
DESTIN_GRID593    -1.0235563  0.0753987   -13.575  < 2e-16 ***
DESTIN_GRID594     0.0431569  0.0396397     1.089 0.276273    
DESTIN_GRID595    -0.3970017  0.0369570   -10.742  < 2e-16 ***
DESTIN_GRID596     2.3419720  0.0299208    78.272  < 2e-16 ***
DESTIN_GRID597    -1.6664502  0.0743538   -22.412  < 2e-16 ***
DESTIN_GRID603    -0.4612651  0.1033497    -4.463 8.08e-06 ***
DESTIN_GRID604    -1.7650111  0.1473450   -11.979  < 2e-16 ***
DESTIN_GRID615    -1.0570297  0.0502196   -21.048  < 2e-16 ***
DESTIN_GRID616    -0.4441395  0.0425866   -10.429  < 2e-16 ***
DESTIN_GRID617     0.3548666  0.0322973    10.987  < 2e-16 ***
DESTIN_GRID618     2.9677219  0.0298321    99.481  < 2e-16 ***
DESTIN_GRID620    -1.0709087  0.0644661   -16.612  < 2e-16 ***
DESTIN_GRID637    -1.0111057  0.0493455   -20.490  < 2e-16 ***
DESTIN_GRID638     2.6956929  0.0298328    90.360  < 2e-16 ***
DESTIN_GRID657     0.0990853  0.0359837     2.754 0.005894 ** 
DESTIN_GRID658     1.6439598  0.0303728    54.126  < 2e-16 ***
DESTIN_GRID659     2.2132305  0.0300622    73.622  < 2e-16 ***
DESTIN_GRID66     -0.0515239  0.0910225    -0.566 0.571355    
DESTIN_GRID660     3.1740224  0.0297602   106.653  < 2e-16 ***
DESTIN_GRID662     3.1538534  0.0302255   104.344  < 2e-16 ***
DESTIN_GRID67      0.5895823  0.0381476    15.455  < 2e-16 ***
DESTIN_GRID677     0.4812405  0.0380917    12.634  < 2e-16 ***
DESTIN_GRID678    -0.8476699  0.0427746   -19.817  < 2e-16 ***
DESTIN_GRID679     2.9267599  0.0298153    98.163  < 2e-16 ***
DESTIN_GRID68      1.3554810  0.0394165    34.389  < 2e-16 ***
DESTIN_GRID680     2.9341410  0.0297970    98.471  < 2e-16 ***
DESTIN_GRID681     1.8813641  0.0308608    60.963  < 2e-16 ***
DESTIN_GRID699     0.0964104  0.0368705     2.615 0.008927 ** 
DESTIN_GRID700     2.4302866  0.0300541    80.864  < 2e-16 ***
DESTIN_GRID701     1.4423655  0.0306919    46.995  < 2e-16 ***
DESTIN_GRID702     2.9463590  0.0297957    98.885  < 2e-16 ***
DESTIN_GRID704     0.0375159  0.0417224     0.899 0.368558    
DESTIN_GRID722     0.1556782  0.0339605     4.584 4.56e-06 ***
DESTIN_GRID725    -0.7056461  0.0503547   -14.014  < 2e-16 ***
DESTIN_GRID741     1.6052000  0.0313663    51.176  < 2e-16 ***
DESTIN_GRID743     0.0594110  0.0328979     1.806 0.070931 .  
DESTIN_GRID744     2.1589862  0.0300123    71.937  < 2e-16 ***
DESTIN_GRID761    -0.0101448  0.0409232    -0.248 0.804213    
DESTIN_GRID762     1.8650294  0.0305403    61.068  < 2e-16 ***
DESTIN_GRID763    -1.2778782  0.0409783   -31.184  < 2e-16 ***
DESTIN_GRID764     2.8235357  0.0297817    94.808  < 2e-16 ***
DESTIN_GRID765     1.5462812  0.0314353    49.189  < 2e-16 ***
DESTIN_GRID767     3.1963709  0.0299068   106.878  < 2e-16 ***
DESTIN_GRID772    -1.2936382  0.0802047   -16.129  < 2e-16 ***
DESTIN_GRID784    -0.1199095  0.0340874    -3.518 0.000435 ***
DESTIN_GRID785     1.7993209  0.0300111    59.955  < 2e-16 ***
DESTIN_GRID786     1.4352108  0.0303654    47.265  < 2e-16 ***
DESTIN_GRID787     2.0171711  0.0307691    65.558  < 2e-16 ***
DESTIN_GRID788     2.8074697  0.0300681    93.370  < 2e-16 ***
DESTIN_GRID789     1.1274654  0.0323025    34.903  < 2e-16 ***
DESTIN_GRID803    -1.8490189  0.0750945   -24.623  < 2e-16 ***
DESTIN_GRID804     2.7815360  0.0299044    93.014  < 2e-16 ***
DESTIN_GRID805     2.9543217  0.0297450    99.322  < 2e-16 ***
DESTIN_GRID806     2.0692662  0.0299577    69.073  < 2e-16 ***
DESTIN_GRID807     3.1537030  0.0298639   105.603  < 2e-16 ***
DESTIN_GRID808     1.0847131  0.0327508    33.120  < 2e-16 ***
DESTIN_GRID809     3.0678942  0.0297914   102.979  < 2e-16 ***
DESTIN_GRID810     2.5784001  0.0301145    85.620  < 2e-16 ***
DESTIN_GRID814     0.8057962  0.0365625    22.039  < 2e-16 ***
DESTIN_GRID824    -0.9947221  0.0531299   -18.722  < 2e-16 ***
DESTIN_GRID826     0.5531954  0.0311937    17.734  < 2e-16 ***
DESTIN_GRID827     2.3694022  0.0298777    79.303  < 2e-16 ***
DESTIN_GRID828     2.5686008  0.0298404    86.078  < 2e-16 ***
DESTIN_GRID829     2.5803274  0.0299935    86.029  < 2e-16 ***
DESTIN_GRID830     2.6111525  0.0300860    86.790  < 2e-16 ***
DESTIN_GRID831     3.4569998  0.0297278   116.288  < 2e-16 ***
DESTIN_GRID832     3.0963652  0.0300299   103.109  < 2e-16 ***
DESTIN_GRID835    -0.5798556  0.0463805   -12.502  < 2e-16 ***
DESTIN_GRID844    -1.3236214  0.0830746   -15.933  < 2e-16 ***
DESTIN_GRID846     1.8206378  0.0301518    60.382  < 2e-16 ***
DESTIN_GRID847     1.7607242  0.0301630    58.374  < 2e-16 ***
DESTIN_GRID848     1.9904350  0.0300187    66.307  < 2e-16 ***
DESTIN_GRID849     1.3047084  0.0306339    42.590  < 2e-16 ***
DESTIN_GRID850     2.2004643  0.0300630    73.195  < 2e-16 ***
DESTIN_GRID851     2.6003813  0.0298645    87.073  < 2e-16 ***
DESTIN_GRID852     2.1721479  0.0301982    71.930  < 2e-16 ***
DESTIN_GRID853     3.9765016  0.0298178   133.360  < 2e-16 ***
DESTIN_GRID854     0.3997507  0.0398494    10.032  < 2e-16 ***
DESTIN_GRID855    -0.8636123  0.0510333   -16.923  < 2e-16 ***
DESTIN_GRID856     0.6472162  0.0358646    18.046  < 2e-16 ***
DESTIN_GRID86     -0.2484139  0.0670853    -3.703 0.000213 ***
DESTIN_GRID866     0.1191674  0.0386941     3.080 0.002072 ** 
DESTIN_GRID867     0.8265012  0.0320790    25.765  < 2e-16 ***
DESTIN_GRID868     0.5748488  0.0323570    17.766  < 2e-16 ***
DESTIN_GRID869     2.3967123  0.0302741    79.167  < 2e-16 ***
DESTIN_GRID87     -1.8202799  0.1983402    -9.178  < 2e-16 ***
DESTIN_GRID870     3.1584335  0.0297270   106.248  < 2e-16 ***
DESTIN_GRID871     2.8651578  0.0301145    95.142  < 2e-16 ***
DESTIN_GRID872     0.7479076  0.0316406    23.638  < 2e-16 ***
DESTIN_GRID873     1.7692746  0.0307706    57.499  < 2e-16 ***
DESTIN_GRID874     1.1649229  0.0310120    37.564  < 2e-16 ***
DESTIN_GRID875    -1.5771621  0.0752457   -20.960  < 2e-16 ***
DESTIN_GRID876    -0.1013269  0.0419046    -2.418 0.015604 *  
DESTIN_GRID877    -0.4870562  0.0450922   -10.801  < 2e-16 ***
DESTIN_GRID88      0.4764118  0.0355823    13.389  < 2e-16 ***
DESTIN_GRID887     0.4401585  0.0329334    13.365  < 2e-16 ***
DESTIN_GRID888     1.8223833  0.0303095    60.126  < 2e-16 ***
DESTIN_GRID889    -0.2775621  0.0371250    -7.476 7.64e-14 ***
DESTIN_GRID89      0.4588604  0.0586660     7.822 5.22e-15 ***
DESTIN_GRID890     2.7119874  0.0298104    90.975  < 2e-16 ***
DESTIN_GRID891     1.6894677  0.0314638    53.696  < 2e-16 ***
DESTIN_GRID893     2.7331507  0.0298346    91.610  < 2e-16 ***
DESTIN_GRID894     0.7337809  0.0317932    23.080  < 2e-16 ***
DESTIN_GRID895     0.6909452  0.0329504    20.969  < 2e-16 ***
DESTIN_GRID896    -0.0086447  0.0410405    -0.211 0.833170    
DESTIN_GRID897    -0.2001825  0.0371519    -5.388 7.12e-08 ***
DESTIN_GRID898    -0.6706228  0.0472274   -14.200  < 2e-16 ***
DESTIN_GRID90     -4.4015095  0.5781098    -7.614 2.67e-14 ***
DESTIN_GRID908     1.2430413  0.0336156    36.978  < 2e-16 ***
DESTIN_GRID909     1.7557502  0.0301021    58.327  < 2e-16 ***
DESTIN_GRID910    -0.8967864  0.0386199   -23.221  < 2e-16 ***
DESTIN_GRID911     1.3373160  0.0306120    43.686  < 2e-16 ***
DESTIN_GRID912     2.2298528  0.0299440    74.467  < 2e-16 ***
DESTIN_GRID915     2.5182498  0.0299084    84.199  < 2e-16 ***
DESTIN_GRID917     2.2527488  0.0303692    74.179  < 2e-16 ***
DESTIN_GRID918    -1.4196142  0.0653226   -21.732  < 2e-16 ***
DESTIN_GRID919     0.1119266  0.0350565     3.193 0.001409 ** 
DESTIN_GRID928     0.8932221  0.0324672    27.512  < 2e-16 ***
DESTIN_GRID929     2.2322980  0.0299120    74.629  < 2e-16 ***
DESTIN_GRID930     2.5047924  0.0297946    84.069  < 2e-16 ***
DESTIN_GRID931    -0.3806683  0.0364460   -10.445  < 2e-16 ***
DESTIN_GRID932     0.1449424  0.0367408     3.945 7.98e-05 ***
DESTIN_GRID933     2.0385601  0.0302134    67.472  < 2e-16 ***
DESTIN_GRID934    -1.0525813  0.0420914   -25.007  < 2e-16 ***
DESTIN_GRID935     3.4790443  0.0297089   117.105  < 2e-16 ***
DESTIN_GRID938    -3.8223330  0.4093214    -9.338  < 2e-16 ***
DESTIN_GRID939     3.2940563  0.0298440   110.376  < 2e-16 ***
DESTIN_GRID940    -0.7604205  0.0517906   -14.683  < 2e-16 ***
DESTIN_GRID949     0.8819333  0.0314924    28.005  < 2e-16 ***
DESTIN_GRID950     2.5880156  0.0299633    86.373  < 2e-16 ***
DESTIN_GRID951     3.6628514  0.0296774   123.422  < 2e-16 ***
DESTIN_GRID952     0.3994091  0.0366215    10.906  < 2e-16 ***
DESTIN_GRID953     1.4155200  0.0308851    45.832  < 2e-16 ***
DESTIN_GRID954    -0.4963828  0.0352944   -14.064  < 2e-16 ***
DESTIN_GRID955     2.1656128  0.0300594    72.044  < 2e-16 ***
DESTIN_GRID956     0.6883023  0.0315917    21.787  < 2e-16 ***
DESTIN_GRID957     2.9188738  0.0299856    97.342  < 2e-16 ***
DESTIN_GRID959     0.4136579  0.0416692     9.927  < 2e-16 ***
DESTIN_GRID961    -0.0329309  0.0382636    -0.861 0.389440    
DESTIN_GRID962     3.9126114  0.0298233   131.193  < 2e-16 ***
DESTIN_GRID970     1.5112901  0.0303345    49.821  < 2e-16 ***
DESTIN_GRID971     2.2838971  0.0298246    76.578  < 2e-16 ***
DESTIN_GRID972     2.2049357  0.0299180    73.699  < 2e-16 ***
DESTIN_GRID974     1.6803656  0.0304854    55.120  < 2e-16 ***
DESTIN_GRID975     1.0665029  0.0310108    34.391  < 2e-16 ***
DESTIN_GRID976    -0.0713404  0.0344157    -2.073 0.038181 *  
DESTIN_GRID977     2.7233430  0.0298376    91.272  < 2e-16 ***
DESTIN_GRID978     2.7221095  0.0302012    90.132  < 2e-16 ***
DESTIN_GRID982     0.3457859  0.0332878    10.388  < 2e-16 ***
DESTIN_GRID991     1.4709315  0.0304858    48.250  < 2e-16 ***
DESTIN_GRID992     1.7933314  0.0301391    59.502  < 2e-16 ***
DESTIN_GRID993     0.9664013  0.0306604    31.520  < 2e-16 ***
DESTIN_GRID994     0.6735623  0.0311985    21.590  < 2e-16 ***
DESTIN_GRID995     1.5483644  0.0302503    51.185  < 2e-16 ***
DESTIN_GRID996     1.1790524  0.0308884    38.171  < 2e-16 ***
DESTIN_GRID997     0.7116889  0.0359371    19.804  < 2e-16 ***
DESTIN_GRID998     3.2549717  0.0297833   109.288  < 2e-16 ***
DESTIN_GRID999     2.7653400  0.0301042    91.859  < 2e-16 ***
log(SCHOOL_COUNT)  0.1376677  0.0007008   196.455  < 2e-16 ***
log(BIZ_COUNT)     0.0211108  0.0001863   113.338  < 2e-16 ***
log(FIN_COUNT)     0.4966726  0.0001829  2715.600  < 2e-16 ***
log(DIST)         -1.5152809  0.0002611 -5804.232  < 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: 92579202  on 67841  degrees of freedom
Residual deviance: 33767246  on 67022  degrees of freedom
AIC: 34140198

Number of Fisher Scoring iterations: 7
CalcRSquared(decSIM$data$TRIPS, decSIM$fitted.values)
[1] 0.3562503

We have a R-square value of 0.356, which indicates that about 36% of variation can be explained by the destination constrained model.

Attention

Here we will only use factors that are propulsive for destination constrained models.

code chunk
uncSIM <- glm(formula = TRIPS ~ 
                  log(SCHOOL_COUNT) +
                log(BIZ_COUNT)+
                log(FIN_COUNT)+
               
                        log(DWELL_COUNT)+
                        log(retail_COUNT) +
                        log(stn_exit_COUNT)+
                log(DIST),
              family = poisson(link = "log"),
              data = inter_zonal_flow,
              na.action = na.exclude)

summary(uncSIM)

Call:
glm(formula = TRIPS ~ log(SCHOOL_COUNT) + log(BIZ_COUNT) + log(FIN_COUNT) + 
    log(DWELL_COUNT) + log(retail_COUNT) + log(stn_exit_COUNT) + 
    log(DIST), family = poisson(link = "log"), data = inter_zonal_flow, 
    na.action = na.exclude)

Coefficients:
                      Estimate Std. Error  z value Pr(>|z|)    
(Intercept)          1.599e+01  2.002e-03  7989.13   <2e-16 ***
log(SCHOOL_COUNT)    1.992e-01  6.770e-04   294.24   <2e-16 ***
log(BIZ_COUNT)      -5.854e-02  1.793e-04  -326.58   <2e-16 ***
log(FIN_COUNT)       3.939e-01  1.731e-04  2276.00   <2e-16 ***
log(DWELL_COUNT)     1.603e-01  7.721e-05  2076.77   <2e-16 ***
log(retail_COUNT)    5.164e-03  1.418e-04    36.43   <2e-16 ***
log(stn_exit_COUNT)  3.107e-01  3.216e-04   966.00   <2e-16 ***
log(DIST)           -1.468e+00  2.526e-04 -5813.25   <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: 92579202  on 67841  degrees of freedom
Residual deviance: 45255754  on 67834  degrees of freedom
AIC: 45627083

Number of Fisher Scoring iterations: 6
CalcRSquared(uncSIM$data$TRIPS, uncSIM$fitted.values)
[1] 0.2233204

We have a R-square value of 0.223, which indicates that only about 22.3% of variation can be explained by the unconstrained model.

code chunk
dbcSIM_Poisson <- glm(formula = TRIPS~
                        ORIGIN_GRID + 
                        DESTIN_GRID + 
                        log(DIST), 
                      family = poisson(link = "log"),
                      data = inter_zonal_flow,
                      na.action = na.exclude)
summary(dbcSIM_Poisson)

Call:
glm(formula = TRIPS ~ ORIGIN_GRID + DESTIN_GRID + log(DIST), 
    family = poisson(link = "log"), data = inter_zonal_flow, 
    na.action = na.exclude)

Coefficients:
                  Estimate Std. Error   z value Pr(>|z|)    
(Intercept)     15.1355970  0.0361837   418.299  < 2e-16 ***
ORIGIN_GRID1003  1.6597166  0.0206581    80.342  < 2e-16 ***
ORIGIN_GRID1004  0.9574084  0.0209286    45.746  < 2e-16 ***
ORIGIN_GRID1011  0.3766009  0.0250778    15.017  < 2e-16 ***
ORIGIN_GRID1012  2.4201938  0.0211030   114.685  < 2e-16 ***
ORIGIN_GRID1013  0.4030911  0.0223557    18.031  < 2e-16 ***
ORIGIN_GRID1014 -0.5216898  0.0248019   -21.034  < 2e-16 ***
ORIGIN_GRID1015  1.3279890  0.0210880    62.974  < 2e-16 ***
ORIGIN_GRID1016  1.5053407  0.0209562    71.833  < 2e-16 ***
ORIGIN_GRID1018 -0.4621297  0.0241152   -19.163  < 2e-16 ***
ORIGIN_GRID1019  0.5184017  0.0214198    24.202  < 2e-16 ***
ORIGIN_GRID1023 -0.4057616  0.0238702   -16.999  < 2e-16 ***
ORIGIN_GRID1024  0.2647132  0.0213807    12.381  < 2e-16 ***
ORIGIN_GRID1025 -2.6229004  0.0386137   -67.927  < 2e-16 ***
ORIGIN_GRID1033  1.3863498  0.0214402    64.661  < 2e-16 ***
ORIGIN_GRID1034  1.6226577  0.0210066    77.245  < 2e-16 ***
ORIGIN_GRID1035  1.7767225  0.0208865    85.066  < 2e-16 ***
ORIGIN_GRID1036  2.2450065  0.0206937   108.488  < 2e-16 ***
ORIGIN_GRID1037  1.0087336  0.0211093    47.786  < 2e-16 ***
ORIGIN_GRID1043  1.2376860  0.0230974    53.586  < 2e-16 ***
ORIGIN_GRID1045  0.5271703  0.0211045    24.979  < 2e-16 ***
ORIGIN_GRID1046  0.1675075  0.0214884     7.795 6.43e-15 ***
ORIGIN_GRID1053  2.0502114  0.0209912    97.670  < 2e-16 ***
ORIGIN_GRID1054  1.7091556  0.0210145    81.332  < 2e-16 ***
ORIGIN_GRID1055  0.9029079  0.0216165    41.769  < 2e-16 ***
ORIGIN_GRID1056  0.3271785  0.0226763    14.428  < 2e-16 ***
ORIGIN_GRID1064 -0.6867726  0.0662333   -10.369  < 2e-16 ***
ORIGIN_GRID1066  1.5410349  0.0206670    74.565  < 2e-16 ***
ORIGIN_GRID1067  0.5616688  0.0219542    25.584  < 2e-16 ***
ORIGIN_GRID1074  0.5779056  0.0229457    25.186  < 2e-16 ***
ORIGIN_GRID1075  1.6602723  0.0212364    78.180  < 2e-16 ***
ORIGIN_GRID1076  0.7409738  0.0216952    34.154  < 2e-16 ***
ORIGIN_GRID1077 -0.0131825  0.0237666    -0.555 0.579124    
ORIGIN_GRID1079  1.4473396  0.0210489    68.761  < 2e-16 ***
ORIGIN_GRID1085 -2.2474946  0.0820534   -27.391  < 2e-16 ***
ORIGIN_GRID1087  0.1739836  0.0216183     8.048 8.42e-16 ***
ORIGIN_GRID1088 -0.2568941  0.0222624   -11.539  < 2e-16 ***
ORIGIN_GRID109   0.2256004  0.0413450     5.457 4.86e-08 ***
ORIGIN_GRID1094 -1.3581723  0.0505063   -26.891  < 2e-16 ***
ORIGIN_GRID1095  1.0058963  0.0246244    40.850  < 2e-16 ***
ORIGIN_GRID1096  1.9505163  0.0238709    81.711  < 2e-16 ***
ORIGIN_GRID1097  2.1434806  0.0207170   103.465  < 2e-16 ***
ORIGIN_GRID1098 -0.7073023  0.0292877   -24.150  < 2e-16 ***
ORIGIN_GRID1099  0.6666982  0.0217509    30.652  < 2e-16 ***
ORIGIN_GRID110   0.4684742  0.0351604    13.324  < 2e-16 ***
ORIGIN_GRID1105  2.6170918  0.0221096   118.369  < 2e-16 ***
ORIGIN_GRID1106 -3.3331925  0.1556638   -21.413  < 2e-16 ***
ORIGIN_GRID1107 -0.3986029  0.0255805   -15.582  < 2e-16 ***
ORIGIN_GRID1108  3.1638408  0.0204738   154.531  < 2e-16 ***
ORIGIN_GRID1109 -1.1864189  0.0286210   -41.453  < 2e-16 ***
ORIGIN_GRID111   2.7160383  0.0248511   109.292  < 2e-16 ***
ORIGIN_GRID1116  1.1414740  0.0218940    52.136  < 2e-16 ***
ORIGIN_GRID1117  1.4251562  0.0216696    65.768  < 2e-16 ***
ORIGIN_GRID1118 -0.6414174  0.0278118   -23.063  < 2e-16 ***
ORIGIN_GRID1119  0.8878631  0.0217365    40.847  < 2e-16 ***
ORIGIN_GRID112  -0.7169213  0.0385194   -18.612  < 2e-16 ***
ORIGIN_GRID1120 -0.2040179  0.0261833    -7.792 6.60e-15 ***
ORIGIN_GRID1129  0.0649213  0.0216322     3.001 0.002690 ** 
ORIGIN_GRID1130  0.4862781  0.0211527    22.989  < 2e-16 ***
ORIGIN_GRID1131  1.8499019  0.0211691    87.387  < 2e-16 ***
ORIGIN_GRID1136  2.2340649  0.0209244   106.768  < 2e-16 ***
ORIGIN_GRID1138 -0.1758183  0.0273401    -6.431 1.27e-10 ***
ORIGIN_GRID1139  0.9274257  0.0213821    43.374  < 2e-16 ***
ORIGIN_GRID1141  1.2246417  0.0212573    57.610  < 2e-16 ***
ORIGIN_GRID1148 -0.1206757  0.0329358    -3.664 0.000248 ***
ORIGIN_GRID1149  0.4067067  0.0221061    18.398  < 2e-16 ***
ORIGIN_GRID1150  0.2937843  0.0211563    13.886  < 2e-16 ***
ORIGIN_GRID1151  0.4870847  0.0215518    22.601  < 2e-16 ***
ORIGIN_GRID1158  0.2946353  0.0231458    12.730  < 2e-16 ***
ORIGIN_GRID1159  0.9339291  0.0214797    43.480  < 2e-16 ***
ORIGIN_GRID1160  1.9462172  0.0207702    93.702  < 2e-16 ***
ORIGIN_GRID1171  1.0080223  0.0211261    47.715  < 2e-16 ***
ORIGIN_GRID1172  1.9376894  0.0206570    93.803  < 2e-16 ***
ORIGIN_GRID1173  1.1408914  0.0213805    53.361  < 2e-16 ***
ORIGIN_GRID1174 -1.1945397  0.0623083   -19.171  < 2e-16 ***
ORIGIN_GRID1178  2.4942350  0.0206769   120.629  < 2e-16 ***
ORIGIN_GRID1179  1.6259263  0.0209826    77.489  < 2e-16 ***
ORIGIN_GRID1180  1.5489396  0.0209256    74.021  < 2e-16 ***
ORIGIN_GRID1181  0.4567228  0.0220416    20.721  < 2e-16 ***
ORIGIN_GRID1183  0.9347526  0.0216943    43.088  < 2e-16 ***
ORIGIN_GRID1190 -0.7208549  0.0405220   -17.789  < 2e-16 ***
ORIGIN_GRID1192  0.7847283  0.0211140    37.166  < 2e-16 ***
ORIGIN_GRID1193  0.9346545  0.0211556    44.180  < 2e-16 ***
ORIGIN_GRID1194  1.6631698  0.0212296    78.342  < 2e-16 ***
ORIGIN_GRID1200  1.0259055  0.0216868    47.305  < 2e-16 ***
ORIGIN_GRID1201  1.2096269  0.0212627    56.890  < 2e-16 ***
ORIGIN_GRID1203  1.0760330  0.0216101    49.793  < 2e-16 ***
ORIGIN_GRID1204  0.5473716  0.0222700    24.579  < 2e-16 ***
ORIGIN_GRID1211 -0.7741358  0.0547050   -14.151  < 2e-16 ***
ORIGIN_GRID1214  0.5282923  0.0214159    24.668  < 2e-16 ***
ORIGIN_GRID1215  1.0668111  0.0225746    47.257  < 2e-16 ***
ORIGIN_GRID1216  0.9871261  0.0229069    43.093  < 2e-16 ***
ORIGIN_GRID1220  1.3443597  0.0212010    63.410  < 2e-16 ***
ORIGIN_GRID1221  1.9216653  0.0207675    92.532  < 2e-16 ***
ORIGIN_GRID1222  0.5711135  0.0241577    23.641  < 2e-16 ***
ORIGIN_GRID1223  0.0798587  0.0237606     3.361 0.000777 ***
ORIGIN_GRID1224  0.7675345  0.0221047    34.723  < 2e-16 ***
ORIGIN_GRID1231 -1.4181548  0.0564409   -25.126  < 2e-16 ***
ORIGIN_GRID1232 -0.4494891  0.0410917   -10.939  < 2e-16 ***
ORIGIN_GRID1235  0.5284202  0.0215078    24.569  < 2e-16 ***
ORIGIN_GRID1236  0.7539690  0.0222443    33.895  < 2e-16 ***
ORIGIN_GRID1241 -0.2485424  0.0239630   -10.372  < 2e-16 ***
ORIGIN_GRID1242  0.6331787  0.0219604    28.833  < 2e-16 ***
ORIGIN_GRID1243  1.4571362  0.0210321    69.281  < 2e-16 ***
ORIGIN_GRID1246  0.8947388  0.0216795    41.271  < 2e-16 ***
ORIGIN_GRID1256  0.0702663  0.0222131     3.163 0.001560 ** 
ORIGIN_GRID1257  1.1308112  0.0213757    52.902  < 2e-16 ***
ORIGIN_GRID1258  1.7720768  0.0212706    83.311  < 2e-16 ***
ORIGIN_GRID1262 -0.2808263  0.0240007   -11.701  < 2e-16 ***
ORIGIN_GRID1263  2.0779763  0.0206631   100.565  < 2e-16 ***
ORIGIN_GRID1264  0.9478038  0.0220398    43.004  < 2e-16 ***
ORIGIN_GRID1265  0.4383238  0.0230833    18.989  < 2e-16 ***
ORIGIN_GRID1266  1.1498786  0.0216077    53.216  < 2e-16 ***
ORIGIN_GRID1267 -0.1718446  0.0266943    -6.438 1.21e-10 ***
ORIGIN_GRID1272 -3.5468995  0.1046407   -33.896  < 2e-16 ***
ORIGIN_GRID1273  1.2184057  0.0218168    55.847  < 2e-16 ***
ORIGIN_GRID1277  1.4696450  0.0208744    70.404  < 2e-16 ***
ORIGIN_GRID1278  0.8037283  0.0215777    37.248  < 2e-16 ***
ORIGIN_GRID128   2.0697782  0.0382173    54.158  < 2e-16 ***
ORIGIN_GRID1283  3.0068211  0.0205676   146.192  < 2e-16 ***
ORIGIN_GRID1284  1.9457865  0.0207774    93.649  < 2e-16 ***
ORIGIN_GRID1285  1.8913907  0.0208144    90.869  < 2e-16 ***
ORIGIN_GRID1286  1.0586569  0.0219642    48.199  < 2e-16 ***
ORIGIN_GRID1289 -0.9422772  0.0371082   -25.393  < 2e-16 ***
ORIGIN_GRID129   0.2080948  0.0801291     2.597 0.009404 ** 
ORIGIN_GRID1293 -1.1196553  0.0379115   -29.533  < 2e-16 ***
ORIGIN_GRID1294  1.5624179  0.0217271    71.911  < 2e-16 ***
ORIGIN_GRID1295 -0.7792049  0.0290271   -26.844  < 2e-16 ***
ORIGIN_GRID1298  0.2109429  0.0219313     9.618  < 2e-16 ***
ORIGIN_GRID1299  0.4106665  0.0224464    18.295  < 2e-16 ***
ORIGIN_GRID130   0.8851095  0.0305047    29.016  < 2e-16 ***
ORIGIN_GRID1304  1.4489675  0.0211151    68.622  < 2e-16 ***
ORIGIN_GRID1305  1.5888866  0.0208112    76.348  < 2e-16 ***
ORIGIN_GRID1307 -0.6597005  0.0318255   -20.729  < 2e-16 ***
ORIGIN_GRID1308  1.8316014  0.0209041    87.619  < 2e-16 ***
ORIGIN_GRID131   0.1117488  0.0302356     3.696 0.000219 ***
ORIGIN_GRID1310 -3.3476219  0.1575140   -21.253  < 2e-16 ***
ORIGIN_GRID1316 -0.7319609  0.0271047   -27.005  < 2e-16 ***
ORIGIN_GRID1317 -0.4373400  0.0237434   -18.419  < 2e-16 ***
ORIGIN_GRID1318 -1.3713205  0.0277150   -49.479  < 2e-16 ***
ORIGIN_GRID1319  2.0096983  0.0206976    97.098  < 2e-16 ***
ORIGIN_GRID132   0.0596831  0.0290806     2.052 0.040137 *  
ORIGIN_GRID1320  0.1482500  0.0232591     6.374 1.84e-10 ***
ORIGIN_GRID1325 -0.0545059  0.0232513    -2.344 0.019068 *  
ORIGIN_GRID1326  1.5393356  0.0209053    73.634  < 2e-16 ***
ORIGIN_GRID1327  1.3910995  0.0210097    66.212  < 2e-16 ***
ORIGIN_GRID1328  1.3448292  0.0212190    63.379  < 2e-16 ***
ORIGIN_GRID1329  1.1307615  0.0221851    50.970  < 2e-16 ***
ORIGIN_GRID133   0.5144829  0.0257955    19.945  < 2e-16 ***
ORIGIN_GRID1330  0.4289868  0.0242106    17.719  < 2e-16 ***
ORIGIN_GRID1331 -3.7039649  0.2095151   -17.679  < 2e-16 ***
ORIGIN_GRID1333 -0.3126343  0.0261309   -11.964  < 2e-16 ***
ORIGIN_GRID1334  0.2184592  0.0240576     9.081  < 2e-16 ***
ORIGIN_GRID1335  1.7986789  0.0212615    84.598  < 2e-16 ***
ORIGIN_GRID1336 -2.8726040  0.0839084   -34.235  < 2e-16 ***
ORIGIN_GRID1337 -2.1094255  0.0384455   -54.868  < 2e-16 ***
ORIGIN_GRID1338 -1.7236443  0.0312481   -55.160  < 2e-16 ***
ORIGIN_GRID1339  1.5486795  0.0208001    74.455  < 2e-16 ***
ORIGIN_GRID134   0.4358193  0.0527586     8.261  < 2e-16 ***
ORIGIN_GRID1340  0.4878206  0.0218614    22.314  < 2e-16 ***
ORIGIN_GRID1341 -3.7966562  0.2508377   -15.136  < 2e-16 ***
ORIGIN_GRID1346  1.1306879  0.0216546    52.215  < 2e-16 ***
ORIGIN_GRID1347  2.6189516  0.0206346   126.921  < 2e-16 ***
ORIGIN_GRID1348  1.1837194  0.0211876    55.868  < 2e-16 ***
ORIGIN_GRID1349  2.3458698  0.0207307   113.159  < 2e-16 ***
ORIGIN_GRID1350  0.2095152  0.0251823     8.320  < 2e-16 ***
ORIGIN_GRID1353  0.9634344  0.0215814    44.642  < 2e-16 ***
ORIGIN_GRID1354 -0.2844415  0.0245586   -11.582  < 2e-16 ***
ORIGIN_GRID1355  0.3700129  0.0227352    16.275  < 2e-16 ***
ORIGIN_GRID1357 -0.7145510  0.0280145   -25.507  < 2e-16 ***
ORIGIN_GRID1358  0.6790978  0.0215547    31.506  < 2e-16 ***
ORIGIN_GRID1359  0.3412266  0.0215567    15.829  < 2e-16 ***
ORIGIN_GRID1360  0.1444135  0.0217244     6.648 2.98e-11 ***
ORIGIN_GRID1361  0.8746774  0.0215864    40.520  < 2e-16 ***
ORIGIN_GRID1362 -1.3541756  0.0388695   -34.839  < 2e-16 ***
ORIGIN_GRID1368  0.3779207  0.0220670    17.126  < 2e-16 ***
ORIGIN_GRID1369  0.3963591  0.0219999    18.016  < 2e-16 ***
ORIGIN_GRID1370  2.3605701  0.0206131   114.518  < 2e-16 ***
ORIGIN_GRID1371  0.9336223  0.0222427    41.974  < 2e-16 ***
ORIGIN_GRID1372  0.3955687  0.0225223    17.563  < 2e-16 ***
ORIGIN_GRID1373 -1.7816315  0.0415144   -42.916  < 2e-16 ***
ORIGIN_GRID1374 -0.3451835  0.0242775   -14.218  < 2e-16 ***
ORIGIN_GRID1375  1.0629963  0.0222282    47.822  < 2e-16 ***
ORIGIN_GRID1376 -0.2900395  0.0263435   -11.010  < 2e-16 ***
ORIGIN_GRID1379 -2.5360534  0.0476258   -53.250  < 2e-16 ***
ORIGIN_GRID1380  2.4262528  0.0205579   118.020  < 2e-16 ***
ORIGIN_GRID1381  2.1124847  0.0206129   102.484  < 2e-16 ***
ORIGIN_GRID1382  1.4417241  0.0210589    68.462  < 2e-16 ***
ORIGIN_GRID1383 -1.8307377  0.0340641   -53.744  < 2e-16 ***
ORIGIN_GRID1388  1.1444529  0.0212575    53.838  < 2e-16 ***
ORIGIN_GRID1389  0.6839397  0.0216614    31.574  < 2e-16 ***
ORIGIN_GRID1390  1.0683858  0.0213061    50.145  < 2e-16 ***
ORIGIN_GRID1391  1.2905754  0.0212674    60.683  < 2e-16 ***
ORIGIN_GRID1392  0.7887300  0.0248356    31.758  < 2e-16 ***
ORIGIN_GRID1393 -0.0937077  0.0234933    -3.989 6.64e-05 ***
ORIGIN_GRID1394  1.0375134  0.0213023    48.704  < 2e-16 ***
ORIGIN_GRID1395  0.8425965  0.0213807    39.409  < 2e-16 ***
ORIGIN_GRID1396  1.2752260  0.0211143    60.396  < 2e-16 ***
ORIGIN_GRID1397  0.4855909  0.0220674    22.005  < 2e-16 ***
ORIGIN_GRID1398  0.1991203  0.0243459     8.179 2.87e-16 ***
ORIGIN_GRID1400 -0.4405720  0.0237970   -18.514  < 2e-16 ***
ORIGIN_GRID1401  1.3922863  0.0207447    67.115  < 2e-16 ***
ORIGIN_GRID1402  0.7642296  0.0211930    36.061  < 2e-16 ***
ORIGIN_GRID1404  0.4787537  0.0279533    17.127  < 2e-16 ***
ORIGIN_GRID1410  1.9238028  0.0207489    92.718  < 2e-16 ***
ORIGIN_GRID1411  1.0254702  0.0214280    47.857  < 2e-16 ***
ORIGIN_GRID1412  2.3527025  0.0206088   114.160  < 2e-16 ***
ORIGIN_GRID1413  1.7478380  0.0208818    83.702  < 2e-16 ***
ORIGIN_GRID1414  0.8684331  0.0212839    40.802  < 2e-16 ***
ORIGIN_GRID1415  1.0470553  0.0212809    49.202  < 2e-16 ***
ORIGIN_GRID1416  0.8119807  0.0215241    37.724  < 2e-16 ***
ORIGIN_GRID1417  0.8538081  0.0211979    40.278  < 2e-16 ***
ORIGIN_GRID1418  0.7476232  0.0213541    35.011  < 2e-16 ***
ORIGIN_GRID1419  0.7045966  0.0216916    32.482  < 2e-16 ***
ORIGIN_GRID1422  0.4132547  0.0217559    18.995  < 2e-16 ***
ORIGIN_GRID1423  1.5393756  0.0208774    73.734  < 2e-16 ***
ORIGIN_GRID1430  1.8025864  0.0209091    86.211  < 2e-16 ***
ORIGIN_GRID1431  2.6242402  0.0205722   127.562  < 2e-16 ***
ORIGIN_GRID1432  1.8254953  0.0207248    88.082  < 2e-16 ***
ORIGIN_GRID1433  1.2591476  0.0218806    57.546  < 2e-16 ***
ORIGIN_GRID1434  2.0326469  0.0207481    97.968  < 2e-16 ***
ORIGIN_GRID1435  1.3003138  0.0209354    62.111  < 2e-16 ***
ORIGIN_GRID1436 -0.4856112  0.0250439   -19.390  < 2e-16 ***
ORIGIN_GRID1437  0.9479780  0.0212463    44.619  < 2e-16 ***
ORIGIN_GRID1438  1.4346062  0.0207783    69.044  < 2e-16 ***
ORIGIN_GRID1439  1.9895447  0.0207071    96.080  < 2e-16 ***
ORIGIN_GRID1440  1.6201678  0.0211384    76.646  < 2e-16 ***
ORIGIN_GRID1442 -0.3309273  0.0236065   -14.018  < 2e-16 ***
ORIGIN_GRID1443  1.0345177  0.0211891    48.823  < 2e-16 ***
ORIGIN_GRID1444  1.7875104  0.0212785    84.005  < 2e-16 ***
ORIGIN_GRID1452  2.2998420  0.0206383   111.436  < 2e-16 ***
ORIGIN_GRID1453  1.6519875  0.0208331    79.296  < 2e-16 ***
ORIGIN_GRID1454  1.1030478  0.0219510    50.251  < 2e-16 ***
ORIGIN_GRID1455  0.8899667  0.0217934    40.837  < 2e-16 ***
ORIGIN_GRID1456  1.3866067  0.0210224    65.959  < 2e-16 ***
ORIGIN_GRID1457  1.3314333  0.0209086    63.679  < 2e-16 ***
ORIGIN_GRID1458  2.6836350  0.0205391   130.660  < 2e-16 ***
ORIGIN_GRID1459  0.3533670  0.0215567    16.392  < 2e-16 ***
ORIGIN_GRID1460  0.8493244  0.0210871    40.277  < 2e-16 ***
ORIGIN_GRID1461  0.9566791  0.0216686    44.150  < 2e-16 ***
ORIGIN_GRID1464  1.1127062  0.0212606    52.337  < 2e-16 ***
ORIGIN_GRID1465  0.7263763  0.0219520    33.089  < 2e-16 ***
ORIGIN_GRID1472  0.6687671  0.0222949    29.996  < 2e-16 ***
ORIGIN_GRID1473  1.9107338  0.0207773    91.962  < 2e-16 ***
ORIGIN_GRID1474  2.2452778  0.0205948   109.021  < 2e-16 ***
ORIGIN_GRID1475  2.3504837  0.0206352   113.906  < 2e-16 ***
ORIGIN_GRID1476  1.1126524  0.0213776    52.048  < 2e-16 ***
ORIGIN_GRID1477  2.8710910  0.0204913   140.113  < 2e-16 ***
ORIGIN_GRID1478  0.6184609  0.0213124    29.019  < 2e-16 ***
ORIGIN_GRID1479  0.1887873  0.0217673     8.673  < 2e-16 ***
ORIGIN_GRID1480  2.9470665  0.0204831   143.878  < 2e-16 ***
ORIGIN_GRID1481  0.7188333  0.0214619    33.493  < 2e-16 ***
ORIGIN_GRID1482  1.7489771  0.0211465    82.708  < 2e-16 ***
ORIGIN_GRID1485  0.3618644  0.0221128    16.364  < 2e-16 ***
ORIGIN_GRID1494  1.8003014  0.0211968    84.933  < 2e-16 ***
ORIGIN_GRID1495  1.4457118  0.0209311    69.070  < 2e-16 ***
ORIGIN_GRID1496  2.3395677  0.0205748   113.711  < 2e-16 ***
ORIGIN_GRID1497  1.7145645  0.0209152    81.977  < 2e-16 ***
ORIGIN_GRID1498  1.3424239  0.0209784    63.991  < 2e-16 ***
ORIGIN_GRID1499  1.0866816  0.0209366    51.903  < 2e-16 ***
ORIGIN_GRID150   2.8568143  0.0305928    93.382  < 2e-16 ***
ORIGIN_GRID1500  0.9759642  0.0220148    44.332  < 2e-16 ***
ORIGIN_GRID1501  1.3147260  0.0208337    63.106  < 2e-16 ***
ORIGIN_GRID1502  1.3119149  0.0208733    62.851  < 2e-16 ***
ORIGIN_GRID1506 -3.7946417  0.0904059   -41.973  < 2e-16 ***
ORIGIN_GRID151   0.5175199  0.0387642    13.350  < 2e-16 ***
ORIGIN_GRID1515  1.7270749  0.0212839    81.145  < 2e-16 ***
ORIGIN_GRID1516  2.1436575  0.0206710   103.704  < 2e-16 ***
ORIGIN_GRID1517  1.1935843  0.0213113    56.007  < 2e-16 ***
ORIGIN_GRID1518  0.6463158  0.0218815    29.537  < 2e-16 ***
ORIGIN_GRID1519  0.8383499  0.0216920    38.648  < 2e-16 ***
ORIGIN_GRID152   1.0094336  0.0357543    28.232  < 2e-16 ***
ORIGIN_GRID1520  0.9842906  0.0210548    46.749  < 2e-16 ***
ORIGIN_GRID1521  0.3786377  0.0218258    17.348  < 2e-16 ***
ORIGIN_GRID1522  1.0922682  0.0210235    51.955  < 2e-16 ***
ORIGIN_GRID1523  1.4725571  0.0218252    67.470  < 2e-16 ***
ORIGIN_GRID1524  0.3266848  0.0233487    13.992  < 2e-16 ***
ORIGIN_GRID1527 -1.4477197  0.0359283   -40.295  < 2e-16 ***
ORIGIN_GRID153   1.2798322  0.0265436    48.216  < 2e-16 ***
ORIGIN_GRID1535  1.0781958  0.0428039    25.189  < 2e-16 ***
ORIGIN_GRID1536  0.9882016  0.0234255    42.185  < 2e-16 ***
ORIGIN_GRID1537  1.4362480  0.0211730    67.834  < 2e-16 ***
ORIGIN_GRID1538  1.7080737  0.0207855    82.176  < 2e-16 ***
ORIGIN_GRID1539  1.5634141  0.0207980    75.171  < 2e-16 ***
ORIGIN_GRID154   1.1194332  0.0237601    47.114  < 2e-16 ***
ORIGIN_GRID1540  0.8099923  0.0212742    38.074  < 2e-16 ***
ORIGIN_GRID1541  1.8358039  0.0213207    86.104  < 2e-16 ***
ORIGIN_GRID1542  0.1564586  0.0233162     6.710 1.94e-11 ***
ORIGIN_GRID1543 -0.1242641  0.0329812    -3.768 0.000165 ***
ORIGIN_GRID1544  0.9135159  0.0217927    41.918  < 2e-16 ***
ORIGIN_GRID1547  0.0767784  0.0251925     3.048 0.002306 ** 
ORIGIN_GRID155  -1.8630137  0.0466602   -39.927  < 2e-16 ***
ORIGIN_GRID1556  0.3702305  0.0545730     6.784 1.17e-11 ***
ORIGIN_GRID1557  1.2773490  0.0227193    56.223  < 2e-16 ***
ORIGIN_GRID1558  0.2532947  0.0271196     9.340  < 2e-16 ***
ORIGIN_GRID1559  1.8253781  0.0207187    88.103  < 2e-16 ***
ORIGIN_GRID156   2.0135392  0.0339582    59.295  < 2e-16 ***
ORIGIN_GRID1560  1.9252779  0.0207014    93.002  < 2e-16 ***
ORIGIN_GRID1561  1.0803131  0.0214101    50.458  < 2e-16 ***
ORIGIN_GRID1562 -1.0931666  0.0282315   -38.721  < 2e-16 ***
ORIGIN_GRID1563  0.1574882  0.0220884     7.130 1.00e-12 ***
ORIGIN_GRID1564  0.1365263  0.0223759     6.101 1.05e-09 ***
ORIGIN_GRID1565  0.7879487  0.0215284    36.600  < 2e-16 ***
ORIGIN_GRID1566 -0.7067427  0.0262581   -26.915  < 2e-16 ***
ORIGIN_GRID1567 -0.9409045  0.0309267   -30.424  < 2e-16 ***
ORIGIN_GRID1568  0.4120923  0.0244506    16.854  < 2e-16 ***
ORIGIN_GRID1578 -2.3328608  0.2015969   -11.572  < 2e-16 ***
ORIGIN_GRID1580  0.3429219  0.0252658    13.573  < 2e-16 ***
ORIGIN_GRID1581  1.2172712  0.0210214    57.906  < 2e-16 ***
ORIGIN_GRID1582  1.6439627  0.0207386    79.271  < 2e-16 ***
ORIGIN_GRID1583 -0.5862702  0.0332411   -17.637  < 2e-16 ***
ORIGIN_GRID1584 -0.3715018  0.0240417   -15.452  < 2e-16 ***
ORIGIN_GRID1585  0.9701610  0.0215518    45.015  < 2e-16 ***
ORIGIN_GRID1586  1.2728192  0.0210437    60.485  < 2e-16 ***
ORIGIN_GRID1589 -0.5309370  0.0262733   -20.208  < 2e-16 ***
ORIGIN_GRID1590  0.4108492  0.0246756    16.650  < 2e-16 ***
ORIGIN_GRID1600  1.2787491  0.0239558    53.379  < 2e-16 ***
ORIGIN_GRID1601  1.1682698  0.0210131    55.597  < 2e-16 ***
ORIGIN_GRID1602  1.1079008  0.0212874    52.045  < 2e-16 ***
ORIGIN_GRID1603  1.7734513  0.0207795    85.346  < 2e-16 ***
ORIGIN_GRID1604  0.0533826  0.0223101     2.393 0.016722 *  
ORIGIN_GRID1605  1.0303049  0.0210109    49.037  < 2e-16 ***
ORIGIN_GRID1606  0.1089357  0.0244334     4.458 8.25e-06 ***
ORIGIN_GRID1607  1.4027914  0.0208478    67.287  < 2e-16 ***
ORIGIN_GRID1608  1.0792870  0.0211702    50.981  < 2e-16 ***
ORIGIN_GRID1609  1.5218741  0.0210368    72.343  < 2e-16 ***
ORIGIN_GRID1610 -0.5712595  0.0343167   -16.647  < 2e-16 ***
ORIGIN_GRID1622  1.1972814  0.0235307    50.882  < 2e-16 ***
ORIGIN_GRID1623  1.5677900  0.0207910    75.407  < 2e-16 ***
ORIGIN_GRID1624  2.2061436  0.0207304   106.421  < 2e-16 ***
ORIGIN_GRID1625  1.6118432  0.0209303    77.010  < 2e-16 ***
ORIGIN_GRID1626  3.2020606  0.0204783   156.363  < 2e-16 ***
ORIGIN_GRID1627 -0.1266124  0.0222740    -5.684 1.31e-08 ***
ORIGIN_GRID1628  1.9312990  0.0206528    93.513  < 2e-16 ***
ORIGIN_GRID1629 -0.3897106  0.0235250   -16.566  < 2e-16 ***
ORIGIN_GRID1630 -0.1876456  0.0228115    -8.226  < 2e-16 ***
ORIGIN_GRID1631 -1.0016042  0.0292933   -34.192  < 2e-16 ***
ORIGIN_GRID1642 -0.8155977  0.0334318   -24.396  < 2e-16 ***
ORIGIN_GRID1643  1.2697779  0.0209653    60.566  < 2e-16 ***
ORIGIN_GRID1644  0.4008708  0.0232674    17.229  < 2e-16 ***
ORIGIN_GRID1645  1.1153591  0.0212568    52.471  < 2e-16 ***
ORIGIN_GRID1646  0.9539930  0.0219236    43.514  < 2e-16 ***
ORIGIN_GRID1647  0.7343446  0.0211619    34.701  < 2e-16 ***
ORIGIN_GRID1648  0.6391901  0.0211890    30.166  < 2e-16 ***
ORIGIN_GRID1649  1.4525604  0.0207534    69.992  < 2e-16 ***
ORIGIN_GRID1650  0.7524173  0.0214697    35.046  < 2e-16 ***
ORIGIN_GRID1664 -2.0196795  0.0638840   -31.615  < 2e-16 ***
ORIGIN_GRID1665  1.8355100  0.0207124    88.619  < 2e-16 ***
ORIGIN_GRID1666  1.6239432  0.0208220    77.992  < 2e-16 ***
ORIGIN_GRID1667  1.0049596  0.0234708    42.817  < 2e-16 ***
ORIGIN_GRID1668  0.7457280  0.0213216    34.975  < 2e-16 ***
ORIGIN_GRID1670  1.1420122  0.0208621    54.741  < 2e-16 ***
ORIGIN_GRID1671  1.2784574  0.0219518    58.239  < 2e-16 ***
ORIGIN_GRID1672  0.2506809  0.0225269    11.128  < 2e-16 ***
ORIGIN_GRID1684  0.7117724  0.0237654    29.950  < 2e-16 ***
ORIGIN_GRID1685  1.0264938  0.0212387    48.331  < 2e-16 ***
ORIGIN_GRID1686  0.8473778  0.0213503    39.689  < 2e-16 ***
ORIGIN_GRID1687  1.4183337  0.0213732    66.360  < 2e-16 ***
ORIGIN_GRID1688  0.8207251  0.0213483    38.445  < 2e-16 ***
ORIGIN_GRID1689 -0.5554765  0.0241230   -23.027  < 2e-16 ***
ORIGIN_GRID1690 -0.5030248  0.0234864   -21.418  < 2e-16 ***
ORIGIN_GRID1691  0.8666316  0.0210133    41.242  < 2e-16 ***
ORIGIN_GRID1692 -0.4790489  0.0240068   -19.955  < 2e-16 ***
ORIGIN_GRID1706  0.9864582  0.0216563    45.551  < 2e-16 ***
ORIGIN_GRID1707  0.6499154  0.0213935    30.379  < 2e-16 ***
ORIGIN_GRID1708  1.5164348  0.0209335    72.440  < 2e-16 ***
ORIGIN_GRID1709  1.7379468  0.0208346    83.416  < 2e-16 ***
ORIGIN_GRID1710  1.4065057  0.0209885    67.013  < 2e-16 ***
ORIGIN_GRID1711  2.0324622  0.0206662    98.347  < 2e-16 ***
ORIGIN_GRID1712  1.1233226  0.0208271    53.936  < 2e-16 ***
ORIGIN_GRID1713 -1.2673753  0.0258693   -48.992  < 2e-16 ***
ORIGIN_GRID1714  0.7353855  0.0214043    34.357  < 2e-16 ***
ORIGIN_GRID172   0.5272635  0.0457456    11.526  < 2e-16 ***
ORIGIN_GRID1727  1.1969718  0.0212066    56.443  < 2e-16 ***
ORIGIN_GRID1728  2.1508387  0.0206461   104.177  < 2e-16 ***
ORIGIN_GRID1729  1.6694192  0.0208160    80.199  < 2e-16 ***
ORIGIN_GRID1730  0.0844488  0.0233346     3.619 0.000296 ***
ORIGIN_GRID1731  1.1855178  0.0210509    56.317  < 2e-16 ***
ORIGIN_GRID1732  1.0255589  0.0208871    49.100  < 2e-16 ***
ORIGIN_GRID1733  0.2385634  0.0214613    11.116  < 2e-16 ***
ORIGIN_GRID1734  0.8208828  0.0210361    39.023  < 2e-16 ***
ORIGIN_GRID1735  0.8634414  0.0234362    36.842  < 2e-16 ***
ORIGIN_GRID174   0.2546693  0.0301818     8.438  < 2e-16 ***
ORIGIN_GRID1748  0.4482719  0.0221335    20.253  < 2e-16 ***
ORIGIN_GRID1749  1.8172629  0.0207207    87.703  < 2e-16 ***
ORIGIN_GRID175   0.3405022  0.0273290    12.459  < 2e-16 ***
ORIGIN_GRID1750  1.3780427  0.0209169    65.882  < 2e-16 ***
ORIGIN_GRID1751  1.1013248  0.0214340    51.382  < 2e-16 ***
ORIGIN_GRID1753  1.5132368  0.0208259    72.661  < 2e-16 ***
ORIGIN_GRID1754  2.3827975  0.0205354   116.033  < 2e-16 ***
ORIGIN_GRID1755  1.5544609  0.0206816    75.161  < 2e-16 ***
ORIGIN_GRID1756  0.6094573  0.0211833    28.771  < 2e-16 ***
ORIGIN_GRID1757 -2.4822496  0.0406193   -61.110  < 2e-16 ***
ORIGIN_GRID176   1.1761014  0.0231974    50.700  < 2e-16 ***
ORIGIN_GRID1769  0.7922817  0.0214541    36.929  < 2e-16 ***
ORIGIN_GRID1770  1.1411471  0.0219570    51.972  < 2e-16 ***
ORIGIN_GRID1771  1.6456589  0.0210014    78.360  < 2e-16 ***
ORIGIN_GRID1772  2.2675096  0.0223078   101.647  < 2e-16 ***
ORIGIN_GRID1774  0.7155597  0.0211425    33.845  < 2e-16 ***
ORIGIN_GRID1775 -0.0748676  0.0218491    -3.427 0.000611 ***
ORIGIN_GRID1776  2.4319884  0.0205289   118.466  < 2e-16 ***
ORIGIN_GRID1777  0.4884919  0.0213520    22.878  < 2e-16 ***
ORIGIN_GRID1778 -0.1951277  0.0272641    -7.157 8.25e-13 ***
ORIGIN_GRID1790  1.8962647  0.0208612    90.899  < 2e-16 ***
ORIGIN_GRID1791  1.0162562  0.0214109    47.465  < 2e-16 ***
ORIGIN_GRID1792  1.2190033  0.0215850    56.475  < 2e-16 ***
ORIGIN_GRID1793  1.5528093  0.0210567    73.744  < 2e-16 ***
ORIGIN_GRID1794  2.9862727  0.0218674   136.563  < 2e-16 ***
ORIGIN_GRID1795 -1.0396618  0.0302445   -34.375  < 2e-16 ***
ORIGIN_GRID1796  0.7616066  0.0212293    35.875  < 2e-16 ***
ORIGIN_GRID1797  0.5863708  0.0211385    27.739  < 2e-16 ***
ORIGIN_GRID1798  0.8538164  0.0209617    40.732  < 2e-16 ***
ORIGIN_GRID1799 -0.4321801  0.0230701   -18.733  < 2e-16 ***
ORIGIN_GRID1800 -1.6266067  0.0387978   -41.925  < 2e-16 ***
ORIGIN_GRID1811  0.8842932  0.0215251    41.082  < 2e-16 ***
ORIGIN_GRID1812  2.3288585  0.0205986   113.059  < 2e-16 ***
ORIGIN_GRID1813  2.2892481  0.0206316   110.959  < 2e-16 ***
ORIGIN_GRID1817  0.0881723  0.0222476     3.963 7.39e-05 ***
ORIGIN_GRID1818  0.2453605  0.0212949    11.522  < 2e-16 ***
ORIGIN_GRID1819  2.1357335  0.0205814   103.770  < 2e-16 ***
ORIGIN_GRID1820 -1.7802927  0.0381854   -46.622  < 2e-16 ***
ORIGIN_GRID1832  2.3160438  0.0207009   111.882  < 2e-16 ***
ORIGIN_GRID1833  0.7287499  0.0215071    33.884  < 2e-16 ***
ORIGIN_GRID1834  0.8634242  0.0212704    40.593  < 2e-16 ***
ORIGIN_GRID1835  0.8135296  0.0216297    37.612  < 2e-16 ***
ORIGIN_GRID1837  0.6892072  0.0268807    25.639  < 2e-16 ***
ORIGIN_GRID1839 -0.0029901  0.0222823    -0.134 0.893252    
ORIGIN_GRID1840  2.1832641  0.0205966   106.001  < 2e-16 ***
ORIGIN_GRID1841 -0.5693766  0.0260093   -21.891  < 2e-16 ***
ORIGIN_GRID1842  1.7147980  0.0247680    69.234  < 2e-16 ***
ORIGIN_GRID1853  0.9638992  0.0212255    45.412  < 2e-16 ***
ORIGIN_GRID1854  1.7748114  0.0208235    85.231  < 2e-16 ***
ORIGIN_GRID1855  1.5175260  0.0210019    72.256  < 2e-16 ***
ORIGIN_GRID1858  1.6730691  0.0225284    74.265  < 2e-16 ***
ORIGIN_GRID1860  0.7447195  0.0246456    30.217  < 2e-16 ***
ORIGIN_GRID1861  0.3809484  0.0214053    17.797  < 2e-16 ***
ORIGIN_GRID1874  0.8125805  0.0221626    36.665  < 2e-16 ***
ORIGIN_GRID1875 -0.7377528  0.0269209   -27.404  < 2e-16 ***
ORIGIN_GRID1876  0.9700920  0.0269856    35.949  < 2e-16 ***
ORIGIN_GRID1877  1.4634135  0.0209879    69.726  < 2e-16 ***
ORIGIN_GRID1880  1.1401786  0.0242886    46.943  < 2e-16 ***
ORIGIN_GRID1882  0.5443718  0.0213436    25.505  < 2e-16 ***
ORIGIN_GRID1883  0.0463550  0.0258823     1.791 0.073294 .  
ORIGIN_GRID1895  1.0932603  0.0212557    51.434  < 2e-16 ***
ORIGIN_GRID1896 -0.1093587  0.0227611    -4.805 1.55e-06 ***
ORIGIN_GRID1897  1.1517803  0.0214252    53.758  < 2e-16 ***
ORIGIN_GRID1898 -1.2065823  0.0375199   -32.158  < 2e-16 ***
ORIGIN_GRID1901  0.3028651  0.0304601     9.943  < 2e-16 ***
ORIGIN_GRID1903 -0.4406187  0.0248474   -17.733  < 2e-16 ***
ORIGIN_GRID1917  0.4848791  0.0220394    22.001  < 2e-16 ***
ORIGIN_GRID1918  1.2827325  0.0214553    59.786  < 2e-16 ***
ORIGIN_GRID1919  1.2183601  0.0211589    57.582  < 2e-16 ***
ORIGIN_GRID1922  1.4788853  0.0234357    63.104  < 2e-16 ***
ORIGIN_GRID1924 -0.4246812  0.0254803   -16.667  < 2e-16 ***
ORIGIN_GRID1937  0.8604199  0.0217771    39.510  < 2e-16 ***
ORIGIN_GRID1938  1.8026083  0.0207818    86.740  < 2e-16 ***
ORIGIN_GRID1939  1.0271954  0.0214440    47.901  < 2e-16 ***
ORIGIN_GRID1942  0.2030905  0.0279078     7.277 3.41e-13 ***
ORIGIN_GRID195   0.4930831  0.0289095    17.056  < 2e-16 ***
ORIGIN_GRID1959  0.4885116  0.0223284    21.879  < 2e-16 ***
ORIGIN_GRID196   0.3775343  0.0251654    15.002  < 2e-16 ***
ORIGIN_GRID1960  3.1762884  0.0204876   155.035  < 2e-16 ***
ORIGIN_GRID1961  0.2359159  0.0228529    10.323  < 2e-16 ***
ORIGIN_GRID1962  1.2094728  0.0212494    56.918  < 2e-16 ***
ORIGIN_GRID1964  0.9672779  0.0262892    36.794  < 2e-16 ***
ORIGIN_GRID197  -0.3170146  0.0564850    -5.612 2.00e-08 ***
ORIGIN_GRID1979  0.5264067  0.0225712    23.322  < 2e-16 ***
ORIGIN_GRID1980  0.0879166  0.0221591     3.968 7.26e-05 ***
ORIGIN_GRID1981  0.7106107  0.0212821    33.390  < 2e-16 ***
ORIGIN_GRID1982  1.2906312  0.0214498    60.170  < 2e-16 ***
ORIGIN_GRID1983  1.2217142  0.0211804    57.681  < 2e-16 ***
ORIGIN_GRID1984  1.1195997  0.0213381    52.470  < 2e-16 ***
ORIGIN_GRID1985  1.2683336  0.0212415    59.710  < 2e-16 ***
ORIGIN_GRID2001  1.1220534  0.0212539    52.793  < 2e-16 ***
ORIGIN_GRID2002  0.9483404  0.0210310    45.093  < 2e-16 ***
ORIGIN_GRID2003  1.6349178  0.0208453    78.431  < 2e-16 ***
ORIGIN_GRID2004  1.7553993  0.0208602    84.151  < 2e-16 ***
ORIGIN_GRID2005  1.2071066  0.0211267    57.137  < 2e-16 ***
ORIGIN_GRID2006  1.7120369  0.0209248    81.819  < 2e-16 ***
ORIGIN_GRID2007 -1.3643221  0.0331493   -41.157  < 2e-16 ***
ORIGIN_GRID2022  1.0566732  0.0217858    48.503  < 2e-16 ***
ORIGIN_GRID2023  1.2457591  0.0209846    59.365  < 2e-16 ***
ORIGIN_GRID2024  1.8576228  0.0207264    89.626  < 2e-16 ***
ORIGIN_GRID2025  0.6952393  0.0212822    32.668  < 2e-16 ***
ORIGIN_GRID2026 -0.7232156  0.0257451   -28.091  < 2e-16 ***
ORIGIN_GRID2027  1.7699972  0.0208847    84.751  < 2e-16 ***
ORIGIN_GRID2043  0.2303560  0.0229236    10.049  < 2e-16 ***
ORIGIN_GRID2044  0.8274016  0.0212997    38.846  < 2e-16 ***
ORIGIN_GRID2045 -0.0066385  0.0325892    -0.204 0.838587    
ORIGIN_GRID2046  1.9677547  0.0206422    95.327  < 2e-16 ***
ORIGIN_GRID2047  0.3642796  0.0219449    16.600  < 2e-16 ***
ORIGIN_GRID2048  0.6461222  0.0215539    29.977  < 2e-16 ***
ORIGIN_GRID2049 -0.5973686  0.0295608   -20.208  < 2e-16 ***
ORIGIN_GRID2064  0.8391520  0.0215558    38.929  < 2e-16 ***
ORIGIN_GRID2065  0.1934005  0.0221961     8.713  < 2e-16 ***
ORIGIN_GRID2066 -0.1387525  0.0298837    -4.643 3.43e-06 ***
ORIGIN_GRID2067  3.4431867  0.0204761   168.156  < 2e-16 ***
ORIGIN_GRID2068  0.3917243  0.0230794    16.973  < 2e-16 ***
ORIGIN_GRID2069  0.8141462  0.0216119    37.671  < 2e-16 ***
ORIGIN_GRID2085  0.4050791  0.0225973    17.926  < 2e-16 ***
ORIGIN_GRID2086  2.1686966  0.0207356   104.588  < 2e-16 ***
ORIGIN_GRID2087  1.6583367  0.0208983    79.353  < 2e-16 ***
ORIGIN_GRID2088  0.7316910  0.0212332    34.460  < 2e-16 ***
ORIGIN_GRID2089  0.0337838  0.0227024     1.488 0.136720    
ORIGIN_GRID2090  2.9974132  0.0205330   145.980  < 2e-16 ***
ORIGIN_GRID2091 -1.5101568  0.0502834   -30.033  < 2e-16 ***
ORIGIN_GRID2105 -0.0470911  0.0571151    -0.824 0.409659    
ORIGIN_GRID2106 -0.2067049  0.0238682    -8.660  < 2e-16 ***
ORIGIN_GRID2107  1.6695380  0.0209015    79.877  < 2e-16 ***
ORIGIN_GRID2108  1.9669599  0.0208418    94.376  < 2e-16 ***
ORIGIN_GRID2109  1.0225880  0.0210324    48.620  < 2e-16 ***
ORIGIN_GRID2110 -0.2371726  0.0234791   -10.101  < 2e-16 ***
ORIGIN_GRID2111 -1.8882014  0.0469536   -40.214  < 2e-16 ***
ORIGIN_GRID2128 -0.2559884  0.0259766    -9.855  < 2e-16 ***
ORIGIN_GRID2129  0.7349211  0.0219145    33.536  < 2e-16 ***
ORIGIN_GRID2130  1.3701044  0.0209028    65.546  < 2e-16 ***
ORIGIN_GRID2131  1.1685362  0.0214301    54.528  < 2e-16 ***
ORIGIN_GRID2132  0.9530402  0.0212791    44.788  < 2e-16 ***
ORIGIN_GRID2148  0.8960296  0.0233467    38.379  < 2e-16 ***
ORIGIN_GRID2149  0.3529235  0.0230018    15.343  < 2e-16 ***
ORIGIN_GRID215   0.7630552  0.0314163    24.289  < 2e-16 ***
ORIGIN_GRID2150  1.0960018  0.0214396    51.120  < 2e-16 ***
ORIGIN_GRID2151  2.1493996  0.0206489   104.093  < 2e-16 ***
ORIGIN_GRID2152  1.4037385  0.0210425    66.710  < 2e-16 ***
ORIGIN_GRID2153  0.5764566  0.0223589    25.782  < 2e-16 ***
ORIGIN_GRID216   1.4079500  0.0260030    54.146  < 2e-16 ***
ORIGIN_GRID217   1.1993897  0.0232591    51.567  < 2e-16 ***
ORIGIN_GRID2171  1.5806266  0.0211604    74.698  < 2e-16 ***
ORIGIN_GRID2172  0.4345499  0.0225334    19.285  < 2e-16 ***
ORIGIN_GRID2173  0.4893590  0.0215592    22.698  < 2e-16 ***
ORIGIN_GRID2174  0.8015999  0.0216941    36.950  < 2e-16 ***
ORIGIN_GRID2191  1.9649146  0.0213666    91.962  < 2e-16 ***
ORIGIN_GRID2192  0.4848932  0.0229033    21.171  < 2e-16 ***
ORIGIN_GRID2193  1.1559939  0.0213490    54.147  < 2e-16 ***
ORIGIN_GRID2194  1.2912026  0.0210981    61.200  < 2e-16 ***
ORIGIN_GRID2195 -0.5007246  0.0382980   -13.074  < 2e-16 ***
ORIGIN_GRID2212  1.5795490  0.0260329    60.675  < 2e-16 ***
ORIGIN_GRID2213  1.6136313  0.0219417    73.542  < 2e-16 ***
ORIGIN_GRID2214  1.9271289  0.0221147    87.143  < 2e-16 ***
ORIGIN_GRID2215  0.9938076  0.0218359    45.513  < 2e-16 ***
ORIGIN_GRID2216  0.7582214  0.0221335    34.257  < 2e-16 ***
ORIGIN_GRID2233  1.5220003  0.0243927    62.396  < 2e-16 ***
ORIGIN_GRID2234  2.1726850  0.0231805    93.729  < 2e-16 ***
ORIGIN_GRID2235  0.8127679  0.0235211    34.555  < 2e-16 ***
ORIGIN_GRID2236 -0.8935922  0.0298211   -29.965  < 2e-16 ***
ORIGIN_GRID2237  1.1317914  0.0248711    45.506  < 2e-16 ***
ORIGIN_GRID2256  1.0398028  0.0263979    39.390  < 2e-16 ***
ORIGIN_GRID2257 -0.4994742  0.0303814   -16.440  < 2e-16 ***
ORIGIN_GRID2258  1.7472367  0.0212227    82.329  < 2e-16 ***
ORIGIN_GRID2259  1.7772899  0.0244106    72.808  < 2e-16 ***
ORIGIN_GRID2277  0.7323271  0.0301762    24.268  < 2e-16 ***
ORIGIN_GRID2278  0.2340492  0.0281786     8.306  < 2e-16 ***
ORIGIN_GRID2279  0.5290027  0.0237468    22.277  < 2e-16 ***
ORIGIN_GRID2280 -0.9667200  0.0531620   -18.184  < 2e-16 ***
ORIGIN_GRID2297  2.2531657  0.0214693   104.948  < 2e-16 ***
ORIGIN_GRID23   -0.1481732  0.0575865    -2.573 0.010080 *  
ORIGIN_GRID2300 -0.0282903  0.0318606    -0.888 0.374574    
ORIGIN_GRID2301  0.8161719  0.0233977    34.883  < 2e-16 ***
ORIGIN_GRID2318  0.8107704  0.0236111    34.339  < 2e-16 ***
ORIGIN_GRID2319  2.0476430  0.0213190    96.048  < 2e-16 ***
ORIGIN_GRID2322  1.8811580  0.0221278    85.013  < 2e-16 ***
ORIGIN_GRID2337  1.9319526  0.0281716    68.578  < 2e-16 ***
ORIGIN_GRID2341  2.8896990  0.0209741   137.775  < 2e-16 ***
ORIGIN_GRID2343  0.7277620  0.0242236    30.044  < 2e-16 ***
ORIGIN_GRID2361  1.8902225  0.0216687    87.233  < 2e-16 ***
ORIGIN_GRID2364 -0.1620314  0.0344226    -4.707 2.51e-06 ***
ORIGIN_GRID237   0.2613209  0.0511613     5.108 3.26e-07 ***
ORIGIN_GRID2379  0.3924641  0.0319310    12.291  < 2e-16 ***
ORIGIN_GRID238  -0.0654488  0.0299421    -2.186 0.028827 *  
ORIGIN_GRID2384  2.5388033  0.0215645   117.731  < 2e-16 ***
ORIGIN_GRID239   0.0189759  0.0477054     0.398 0.690797    
ORIGIN_GRID2405  3.1002289  0.0211339   146.695  < 2e-16 ***
ORIGIN_GRID2406  1.3084352  0.0249757    52.388  < 2e-16 ***
ORIGIN_GRID2426  2.4386643  0.0245119    99.489  < 2e-16 ***
ORIGIN_GRID2427  2.5441298  0.0220722   115.264  < 2e-16 ***
ORIGIN_GRID2505  1.5607915  0.0336644    46.363  < 2e-16 ***
ORIGIN_GRID257   1.2638326  0.0276321    45.738  < 2e-16 ***
ORIGIN_GRID258  -0.2741697  0.0277220    -9.890  < 2e-16 ***
ORIGIN_GRID259   0.8032166  0.0251475    31.940  < 2e-16 ***
ORIGIN_GRID278   2.9507856  0.0245999   119.951  < 2e-16 ***
ORIGIN_GRID279   0.8997661  0.0254354    35.375  < 2e-16 ***
ORIGIN_GRID280   0.4960464  0.0253916    19.536  < 2e-16 ***
ORIGIN_GRID298  -2.2462651  0.1838831   -12.216  < 2e-16 ***
ORIGIN_GRID299   1.0344194  0.0291256    35.516  < 2e-16 ***
ORIGIN_GRID300   0.2330755  0.0285049     8.177 2.92e-16 ***
ORIGIN_GRID320   1.9733036  0.0276520    71.362  < 2e-16 ***
ORIGIN_GRID321   0.6600435  0.0338405    19.505  < 2e-16 ***
ORIGIN_GRID322   0.7757127  0.0263894    29.395  < 2e-16 ***
ORIGIN_GRID340   2.6383739  0.0258224   102.174  < 2e-16 ***
ORIGIN_GRID341   1.3850830  0.0265699    52.130  < 2e-16 ***
ORIGIN_GRID342   0.3297219  0.0265103    12.438  < 2e-16 ***
ORIGIN_GRID363   1.5791458  0.0249784    63.220  < 2e-16 ***
ORIGIN_GRID364   0.9046916  0.0227398    39.785  < 2e-16 ***
ORIGIN_GRID383   2.3157918  0.0231893    99.865  < 2e-16 ***
ORIGIN_GRID384   0.0343995  0.0261463     1.316 0.188291    
ORIGIN_GRID385   0.4754229  0.0249259    19.073  < 2e-16 ***
ORIGIN_GRID404   1.8677610  0.0276118    67.644  < 2e-16 ***
ORIGIN_GRID405   1.5415058  0.0243436    63.323  < 2e-16 ***
ORIGIN_GRID406   2.3760193  0.0209120   113.620  < 2e-16 ***
ORIGIN_GRID407   1.7193080  0.0221499    77.621  < 2e-16 ***
ORIGIN_GRID408   2.7032804  0.0210303   128.542  < 2e-16 ***
ORIGIN_GRID425  -1.1541163  0.0484743   -23.809  < 2e-16 ***
ORIGIN_GRID426   0.8605407  0.0225661    38.134  < 2e-16 ***
ORIGIN_GRID427  -1.2888365  0.0282293   -45.656  < 2e-16 ***
ORIGIN_GRID428   1.4156610  0.0219415    64.520  < 2e-16 ***
ORIGIN_GRID429  -0.0301159  0.0286553    -1.051 0.293272    
ORIGIN_GRID44   -1.6891477  0.0976456   -17.299  < 2e-16 ***
ORIGIN_GRID446   0.6842396  0.0342342    19.987  < 2e-16 ***
ORIGIN_GRID447   0.0082285  0.0291268     0.283 0.777557    
ORIGIN_GRID448   0.2284877  0.0235581     9.699  < 2e-16 ***
ORIGIN_GRID449   0.0978718  0.0228556     4.282 1.85e-05 ***
ORIGIN_GRID450   0.2909080  0.0232275    12.524  < 2e-16 ***
ORIGIN_GRID46   -0.1879019  0.0488950    -3.843 0.000122 ***
ORIGIN_GRID468   1.0718695  0.0235040    45.604  < 2e-16 ***
ORIGIN_GRID469   0.1353977  0.0225152     6.014 1.81e-09 ***
ORIGIN_GRID470   0.7173122  0.0214877    33.382  < 2e-16 ***
ORIGIN_GRID471   1.0755272  0.0235625    45.646  < 2e-16 ***
ORIGIN_GRID488   0.6597547  0.0333137    19.804  < 2e-16 ***
ORIGIN_GRID489  -2.6652704  0.1266773   -21.040  < 2e-16 ***
ORIGIN_GRID490   0.8963864  0.0223151    40.170  < 2e-16 ***
ORIGIN_GRID491  -0.5124330  0.0229696   -22.309  < 2e-16 ***
ORIGIN_GRID493  -1.2542467  0.0431520   -29.066  < 2e-16 ***
ORIGIN_GRID494  -0.2830775  0.0332868    -8.504  < 2e-16 ***
ORIGIN_GRID509   1.6741584  0.0243222    68.833  < 2e-16 ***
ORIGIN_GRID510   1.5629029  0.0223701    69.866  < 2e-16 ***
ORIGIN_GRID511   0.2297155  0.0221775    10.358  < 2e-16 ***
ORIGIN_GRID512   0.8376276  0.0210688    39.757  < 2e-16 ***
ORIGIN_GRID513   1.0459126  0.0223313    46.836  < 2e-16 ***
ORIGIN_GRID514   0.8296398  0.0244067    33.992  < 2e-16 ***
ORIGIN_GRID515  -2.0573285  0.0754853   -27.255  < 2e-16 ***
ORIGIN_GRID530   0.3803726  0.0384395     9.895  < 2e-16 ***
ORIGIN_GRID531   2.3022529  0.0220350   104.482  < 2e-16 ***
ORIGIN_GRID532   0.4952387  0.0227362    21.782  < 2e-16 ***
ORIGIN_GRID533   1.5313833  0.0207154    73.925  < 2e-16 ***
ORIGIN_GRID534   0.9716842  0.0211519    45.938  < 2e-16 ***
ORIGIN_GRID536   0.4214283  0.0258787    16.285  < 2e-16 ***
ORIGIN_GRID537  -1.3688660  0.0556468   -24.599  < 2e-16 ***
ORIGIN_GRID538  -1.1527259  0.0556986   -20.696  < 2e-16 ***
ORIGIN_GRID539  -2.6959009  1.0004710    -2.695 0.007047 ** 
ORIGIN_GRID551   0.5998306  0.0316279    18.965  < 2e-16 ***
ORIGIN_GRID552   1.2791552  0.0241988    52.860  < 2e-16 ***
ORIGIN_GRID553  -0.4619989  0.0229022   -20.173  < 2e-16 ***
ORIGIN_GRID554   0.1412697  0.0213597     6.614 3.74e-11 ***
ORIGIN_GRID555   0.9349671  0.0220862    42.333  < 2e-16 ***
ORIGIN_GRID559  -1.4164489  0.0602331   -23.516  < 2e-16 ***
ORIGIN_GRID560   1.3723250  0.0265682    51.653  < 2e-16 ***
ORIGIN_GRID572   0.0246239  0.0444412     0.554 0.579525    
ORIGIN_GRID573   1.1742251  0.0258001    45.512  < 2e-16 ***
ORIGIN_GRID574  -1.3968219  0.0391543   -35.675  < 2e-16 ***
ORIGIN_GRID575   3.4425250  0.0204552   168.296  < 2e-16 ***
ORIGIN_GRID576   0.4339673  0.0213386    20.337  < 2e-16 ***
ORIGIN_GRID578  -3.3911994  0.1035888   -32.737  < 2e-16 ***
ORIGIN_GRID582   0.2553239  0.0369146     6.917 4.63e-12 ***
ORIGIN_GRID583  -2.4396987  0.1752778   -13.919  < 2e-16 ***
ORIGIN_GRID584   0.3179601  0.0429628     7.401 1.35e-13 ***
ORIGIN_GRID593  -0.0545172  0.0344171    -1.584 0.113190    
ORIGIN_GRID594   0.6997427  0.0263829    26.523  < 2e-16 ***
ORIGIN_GRID595   0.8915971  0.0212924    41.874  < 2e-16 ***
ORIGIN_GRID596   0.2093301  0.0212006     9.874  < 2e-16 ***
ORIGIN_GRID597  -0.8977968  0.0328852   -27.301  < 2e-16 ***
ORIGIN_GRID603  -0.9316448  0.0604634   -15.408  < 2e-16 ***
ORIGIN_GRID604  -0.7022927  0.0559849   -12.544  < 2e-16 ***
ORIGIN_GRID615  -0.0367080  0.0274341    -1.338 0.180882    
ORIGIN_GRID616   0.6192829  0.0227215    27.255  < 2e-16 ***
ORIGIN_GRID617  -0.6971012  0.0239366   -29.123  < 2e-16 ***
ORIGIN_GRID618   0.7367252  0.0210799    34.949  < 2e-16 ***
ORIGIN_GRID620  -0.3740885  0.0259900   -14.394  < 2e-16 ***
ORIGIN_GRID637   0.0639829  0.0236281     2.708 0.006771 ** 
ORIGIN_GRID638   0.6410028  0.0210304    30.480  < 2e-16 ***
ORIGIN_GRID657   1.5170737  0.0218436    69.452  < 2e-16 ***
ORIGIN_GRID658   0.9216448  0.0212697    43.331  < 2e-16 ***
ORIGIN_GRID659   0.3275894  0.0214625    15.263  < 2e-16 ***
ORIGIN_GRID66   -1.0641703  0.0646282   -16.466  < 2e-16 ***
ORIGIN_GRID660   1.2065454  0.0207941    58.023  < 2e-16 ***
ORIGIN_GRID662   1.1757967  0.0225912    52.047  < 2e-16 ***
ORIGIN_GRID67    1.4196893  0.0284089    49.973  < 2e-16 ***
ORIGIN_GRID677   1.4905555  0.0234764    63.492  < 2e-16 ***
ORIGIN_GRID678  -0.9351455  0.0299476   -31.226  < 2e-16 ***
ORIGIN_GRID679   1.2760055  0.0209497    60.908  < 2e-16 ***
ORIGIN_GRID68   -0.0540357  0.0568587    -0.950 0.341935    
ORIGIN_GRID680   2.3909614  0.0205438   116.384  < 2e-16 ***
ORIGIN_GRID681  -0.7414877  0.0256178   -28.944  < 2e-16 ***
ORIGIN_GRID699   0.9154529  0.0227231    40.287  < 2e-16 ***
ORIGIN_GRID700   0.6943418  0.0215356    32.242  < 2e-16 ***
ORIGIN_GRID701  -0.5346125  0.0234669   -22.782  < 2e-16 ***
ORIGIN_GRID702   1.0449639  0.0208817    50.042  < 2e-16 ***
ORIGIN_GRID704   0.1196771  0.0232042     5.158 2.50e-07 ***
ORIGIN_GRID722  -0.9221411  0.0249927   -36.896  < 2e-16 ***
ORIGIN_GRID725  -1.8972387  0.0343991   -55.154  < 2e-16 ***
ORIGIN_GRID741   1.3020736  0.0221749    58.718  < 2e-16 ***
ORIGIN_GRID743  -1.7967577  0.0293199   -61.281  < 2e-16 ***
ORIGIN_GRID744   0.5184987  0.0212611    24.387  < 2e-16 ***
ORIGIN_GRID761   1.5589900  0.0225848    69.028  < 2e-16 ***
ORIGIN_GRID762   0.7226725  0.0222701    32.450  < 2e-16 ***
ORIGIN_GRID763  -1.3331968  0.0280689   -47.497  < 2e-16 ***
ORIGIN_GRID764   1.4907901  0.0206952    72.036  < 2e-16 ***
ORIGIN_GRID765   0.2720424  0.0221116    12.303  < 2e-16 ***
ORIGIN_GRID767   0.8078548  0.0212178    38.074  < 2e-16 ***
ORIGIN_GRID772  -1.1329708  0.0479181   -23.644  < 2e-16 ***
ORIGIN_GRID784  -1.7675316  0.0303153   -58.305  < 2e-16 ***
ORIGIN_GRID785   0.6658065  0.0210247    31.668  < 2e-16 ***
ORIGIN_GRID786   0.0988465  0.0213881     4.622 3.81e-06 ***
ORIGIN_GRID787   0.3226584  0.0222126    14.526  < 2e-16 ***
ORIGIN_GRID788  -0.3049619  0.0225515   -13.523  < 2e-16 ***
ORIGIN_GRID789  -1.1346556  0.0250392   -45.315  < 2e-16 ***
ORIGIN_GRID803   0.1042115  0.0273570     3.809 0.000139 ***
ORIGIN_GRID804   1.2037387  0.0214318    56.166  < 2e-16 ***
ORIGIN_GRID805   2.3150335  0.0205457   112.677  < 2e-16 ***
ORIGIN_GRID806   0.3307708  0.0212737    15.548  < 2e-16 ***
ORIGIN_GRID807   0.8430930  0.0213135    39.557  < 2e-16 ***
ORIGIN_GRID808  -1.1865322  0.0286761   -41.377  < 2e-16 ***
ORIGIN_GRID809   0.4234946  0.0210225    20.145  < 2e-16 ***
ORIGIN_GRID810  -0.0686379  0.0220003    -3.120 0.001809 ** 
ORIGIN_GRID814  -0.3127986  0.0337392    -9.271  < 2e-16 ***
ORIGIN_GRID824   0.9419288  0.0245442    38.377  < 2e-16 ***
ORIGIN_GRID826   0.4545161  0.0214615    21.178  < 2e-16 ***
ORIGIN_GRID827   0.9751156  0.0209626    46.517  < 2e-16 ***
ORIGIN_GRID828   0.6853879  0.0209353    32.738  < 2e-16 ***
ORIGIN_GRID829   0.1943118  0.0218556     8.891  < 2e-16 ***
ORIGIN_GRID830  -0.4326554  0.0225162   -19.215  < 2e-16 ***
ORIGIN_GRID831   2.4974572  0.0204717   121.996  < 2e-16 ***
ORIGIN_GRID832   1.7658761  0.0207546    85.084  < 2e-16 ***
ORIGIN_GRID835  -0.2743049  0.0307060    -8.933  < 2e-16 ***
ORIGIN_GRID844   0.1651012  0.0308221     5.357 8.48e-08 ***
ORIGIN_GRID846   0.5943475  0.0216596    27.440  < 2e-16 ***
ORIGIN_GRID847   1.6059841  0.0207966    77.223  < 2e-16 ***
ORIGIN_GRID848   0.4203555  0.0212196    19.810  < 2e-16 ***
ORIGIN_GRID849  -0.8498899  0.0228447   -37.203  < 2e-16 ***
ORIGIN_GRID850   0.3597220  0.0212008    16.967  < 2e-16 ***
ORIGIN_GRID851   0.2372465  0.0211156    11.236  < 2e-16 ***
ORIGIN_GRID852  -0.2711840  0.0220687   -12.288  < 2e-16 ***
ORIGIN_GRID853   1.3487511  0.0215001    62.732  < 2e-16 ***
ORIGIN_GRID854   0.3813991  0.0263859    14.455  < 2e-16 ***
ORIGIN_GRID855  -0.1810118  0.0280535    -6.452 1.10e-10 ***
ORIGIN_GRID856  -0.3156445  0.0322580    -9.785  < 2e-16 ***
ORIGIN_GRID86    0.1126504  0.0367761     3.063 0.002190 ** 
ORIGIN_GRID866   1.2849313  0.0232048    55.373  < 2e-16 ***
ORIGIN_GRID867   1.6475103  0.0210154    78.396  < 2e-16 ***
ORIGIN_GRID868   1.4869001  0.0210998    70.470  < 2e-16 ***
ORIGIN_GRID869   2.2194820  0.0210974   105.202  < 2e-16 ***
ORIGIN_GRID87    0.8619140  0.0481086    17.916  < 2e-16 ***
ORIGIN_GRID870   2.1965870  0.0205139   107.078  < 2e-16 ***
ORIGIN_GRID871   1.7524251  0.0208247    84.151  < 2e-16 ***
ORIGIN_GRID872  -0.3396307  0.0220469   -15.405  < 2e-16 ***
ORIGIN_GRID873  -1.2017072  0.0246102   -48.830  < 2e-16 ***
ORIGIN_GRID874  -0.9779197  0.0231840   -42.181  < 2e-16 ***
ORIGIN_GRID875  -1.1587537  0.0398487   -29.079  < 2e-16 ***
ORIGIN_GRID876  -1.6120938  0.0361501   -44.595  < 2e-16 ***
ORIGIN_GRID877  -1.1705013  0.0348946   -33.544  < 2e-16 ***
ORIGIN_GRID88    1.7583210  0.0264157    66.564  < 2e-16 ***
ORIGIN_GRID887   0.4723656  0.0224900    21.003  < 2e-16 ***
ORIGIN_GRID888   0.0609513  0.0228428     2.668 0.007624 ** 
ORIGIN_GRID889  -0.0668207  0.0236301    -2.828 0.004687 ** 
ORIGIN_GRID89   -2.6285225  0.0840226   -31.284  < 2e-16 ***
ORIGIN_GRID890   1.1118159  0.0209145    53.160  < 2e-16 ***
ORIGIN_GRID891  -0.5397967  0.0254254   -21.231  < 2e-16 ***
ORIGIN_GRID893   0.7438951  0.0208412    35.693  < 2e-16 ***
ORIGIN_GRID894  -0.9232383  0.0237079   -38.942  < 2e-16 ***
ORIGIN_GRID895   0.1466509  0.0226573     6.473 9.64e-11 ***
ORIGIN_GRID896  -2.5239430  0.0459422   -54.937  < 2e-16 ***
ORIGIN_GRID897  -1.3963266  0.0292024   -47.816  < 2e-16 ***
ORIGIN_GRID898   0.3958235  0.0250626    15.793  < 2e-16 ***
ORIGIN_GRID90    0.4518440  0.0460293     9.816  < 2e-16 ***
ORIGIN_GRID908   1.6063079  0.0229546    69.978  < 2e-16 ***
ORIGIN_GRID909   0.6574323  0.0213041    30.859  < 2e-16 ***
ORIGIN_GRID910  -0.8221181  0.0251078   -32.744  < 2e-16 ***
ORIGIN_GRID911   1.8439597  0.0207545    88.846  < 2e-16 ***
ORIGIN_GRID912   0.3661511  0.0214044    17.106  < 2e-16 ***
ORIGIN_GRID915   0.0064924  0.0213370     0.304 0.760914    
ORIGIN_GRID917   1.6086586  0.0210113    76.562  < 2e-16 ***
ORIGIN_GRID918  -1.9830499  0.0333891   -59.392  < 2e-16 ***
ORIGIN_GRID919  -1.2324512  0.0265853   -46.358  < 2e-16 ***
ORIGIN_GRID928  -0.5347128  0.0279149   -19.155  < 2e-16 ***
ORIGIN_GRID929   0.7247165  0.0212910    34.039  < 2e-16 ***
ORIGIN_GRID930   2.1245508  0.0205698   103.285  < 2e-16 ***
ORIGIN_GRID931  -0.0228776  0.0234676    -0.975 0.329630    
ORIGIN_GRID932  -1.1274275  0.0380586   -29.623  < 2e-16 ***
ORIGIN_GRID933   0.6290046  0.0216731    29.022  < 2e-16 ***
ORIGIN_GRID934  -0.9883903  0.0245769   -40.216  < 2e-16 ***
ORIGIN_GRID935   2.4472292  0.0204496   119.671  < 2e-16 ***
ORIGIN_GRID938  -4.2329510  0.1972047   -21.465  < 2e-16 ***
ORIGIN_GRID939   2.2359755  0.0206998   108.019  < 2e-16 ***
ORIGIN_GRID940  -2.2802960  0.0331519   -68.783  < 2e-16 ***
ORIGIN_GRID949   0.1771955  0.0237972     7.446 9.62e-14 ***
ORIGIN_GRID950   1.8693675  0.0209418    89.265  < 2e-16 ***
ORIGIN_GRID951   2.8449495  0.0205015   138.768  < 2e-16 ***
ORIGIN_GRID952   0.9765795  0.0221091    44.171  < 2e-16 ***
ORIGIN_GRID953   0.3008466  0.0229401    13.114  < 2e-16 ***
ORIGIN_GRID954  -1.5557741  0.0283214   -54.933  < 2e-16 ***
ORIGIN_GRID955   1.3175103  0.0208759    63.112  < 2e-16 ***
ORIGIN_GRID956  -0.8307609  0.0229554   -36.190  < 2e-16 ***
ORIGIN_GRID957  -0.2662187  0.0220043   -12.098  < 2e-16 ***
ORIGIN_GRID959   0.1414638  0.0284561     4.971 6.65e-07 ***
ORIGIN_GRID961  -1.1436659  0.0244535   -46.769  < 2e-16 ***
ORIGIN_GRID970   1.4666500  0.0210847    69.560  < 2e-16 ***
ORIGIN_GRID971   1.2258174  0.0208556    58.777  < 2e-16 ***
ORIGIN_GRID972   0.6997583  0.0213186    32.824  < 2e-16 ***
ORIGIN_GRID974   0.1495871  0.0226653     6.600 4.12e-11 ***
ORIGIN_GRID975  -0.9645251  0.0253532   -38.044  < 2e-16 ***
ORIGIN_GRID976  -1.3582512  0.0256144   -53.027  < 2e-16 ***
ORIGIN_GRID977   0.2861700  0.0211102    13.556  < 2e-16 ***
ORIGIN_GRID978  -0.0857795  0.0226313    -3.790 0.000150 ***
ORIGIN_GRID982  -1.3458165  0.0236675   -56.863  < 2e-16 ***
ORIGIN_GRID983   1.8048161  0.0209389    86.194  < 2e-16 ***
ORIGIN_GRID991   1.6420784  0.0211780    77.537  < 2e-16 ***
ORIGIN_GRID992   1.5670052  0.0209671    74.736  < 2e-16 ***
ORIGIN_GRID993  -0.0918393  0.0223288    -4.113 3.90e-05 ***
ORIGIN_GRID994   0.0870213  0.0225891     3.852 0.000117 ***
ORIGIN_GRID995   1.8125806  0.0207858    87.203  < 2e-16 ***
ORIGIN_GRID996  -0.1897080  0.0232223    -8.169 3.10e-16 ***
ORIGIN_GRID997  -1.2612091  0.0324796   -38.831  < 2e-16 ***
ORIGIN_GRID998   1.0907007  0.0209080    52.167  < 2e-16 ***
ORIGIN_GRID999   0.0679675  0.0219321     3.099 0.001942 ** 
DESTIN_GRID1003  3.3167911  0.0301981   109.834  < 2e-16 ***
DESTIN_GRID1004  4.2947389  0.0300799   142.778  < 2e-16 ***
DESTIN_GRID1011 -0.1253323  0.0386338    -3.244 0.001178 ** 
DESTIN_GRID1012  1.0010192  0.0324401    30.857  < 2e-16 ***
DESTIN_GRID1013  0.4273016  0.0322377    13.255  < 2e-16 ***
DESTIN_GRID1014  0.7070274  0.0316659    22.328  < 2e-16 ***
DESTIN_GRID1015  0.7911562  0.0315550    25.072  < 2e-16 ***
DESTIN_GRID1016  2.5948617  0.0303046    85.626  < 2e-16 ***
DESTIN_GRID1018  2.1077957  0.0318223    66.236  < 2e-16 ***
DESTIN_GRID1019  2.7417478  0.0305340    89.793  < 2e-16 ***
DESTIN_GRID1023  2.1839680  0.0312117    69.973  < 2e-16 ***
DESTIN_GRID1024  2.9708573  0.0303067    98.027  < 2e-16 ***
DESTIN_GRID1025 -0.3547512  0.0436119    -8.134 4.14e-16 ***
DESTIN_GRID1033  0.6853121  0.0317413    21.591  < 2e-16 ***
DESTIN_GRID1034  1.7962137  0.0305442    58.807  < 2e-16 ***
DESTIN_GRID1035  2.0114751  0.0304628    66.031  < 2e-16 ***
DESTIN_GRID1036  1.6598877  0.0307433    53.992  < 2e-16 ***
DESTIN_GRID1037  1.7334126  0.0305101    56.814  < 2e-16 ***
DESTIN_GRID1043  0.1246179  0.0410791     3.034 0.002416 ** 
DESTIN_GRID1045  2.9807198  0.0302150    98.650  < 2e-16 ***
DESTIN_GRID1046  2.7589554  0.0303816    90.810  < 2e-16 ***
DESTIN_GRID1053  2.1559223  0.0304288    70.851  < 2e-16 ***
DESTIN_GRID1054  1.0519838  0.0309238    34.019  < 2e-16 ***
DESTIN_GRID1055  2.0463646  0.0304007    67.313  < 2e-16 ***
DESTIN_GRID1056  1.0445437  0.0312808    33.393  < 2e-16 ***
DESTIN_GRID1064 -4.0418880  0.2599132   -15.551  < 2e-16 ***
DESTIN_GRID1066  2.3410336  0.0304356    76.918  < 2e-16 ***
DESTIN_GRID1067  2.7052085  0.0306892    88.149  < 2e-16 ***
DESTIN_GRID1074  1.4520485  0.0308414    47.081  < 2e-16 ***
DESTIN_GRID1075  0.2382645  0.0325894     7.311 2.65e-13 ***
DESTIN_GRID1076  0.2619056  0.0318130     8.233  < 2e-16 ***
DESTIN_GRID1077  0.9275493  0.0313630    29.575  < 2e-16 ***
DESTIN_GRID1079  2.5092462  0.0303199    82.759  < 2e-16 ***
DESTIN_GRID1085 -2.2970643  0.2789769    -8.234  < 2e-16 ***
DESTIN_GRID1087  2.0383454  0.0305991    66.615  < 2e-16 ***
DESTIN_GRID1088  0.7312392  0.0322118    22.701  < 2e-16 ***
DESTIN_GRID109  -1.1684889  0.0920224   -12.698  < 2e-16 ***
DESTIN_GRID1094 -1.1938896  0.0454749   -26.254  < 2e-16 ***
DESTIN_GRID1095 -0.1026056  0.0368831    -2.782 0.005404 ** 
DESTIN_GRID1096  0.3458526  0.0394749     8.761  < 2e-16 ***
DESTIN_GRID1097  2.6655773  0.0301743    88.339  < 2e-16 ***
DESTIN_GRID1098  0.3740523  0.0346779    10.786  < 2e-16 ***
DESTIN_GRID1099  1.5757308  0.0307682    51.213  < 2e-16 ***
DESTIN_GRID110  -3.7367916  0.2693668   -13.873  < 2e-16 ***
DESTIN_GRID1105  1.6732134  0.0355872    47.017  < 2e-16 ***
DESTIN_GRID1106 -3.0817389  0.1553970   -19.831  < 2e-16 ***
DESTIN_GRID1107  1.1424944  0.0334818    34.123  < 2e-16 ***
DESTIN_GRID1108  4.4764287  0.0300373   149.029  < 2e-16 ***
DESTIN_GRID1109  1.3227450  0.0319192    41.440  < 2e-16 ***
DESTIN_GRID111   2.7261652  0.0327421    83.262  < 2e-16 ***
DESTIN_GRID1116  1.2441518  0.0310513    40.068  < 2e-16 ***
DESTIN_GRID1117  0.1013113  0.0335039     3.024 0.002496 ** 
DESTIN_GRID1118  1.1081675  0.0318421    34.802  < 2e-16 ***
DESTIN_GRID1119  1.1269155  0.0312648    36.044  < 2e-16 ***
DESTIN_GRID112  -2.3837302  0.0927648   -25.696  < 2e-16 ***
DESTIN_GRID1120  0.9767572  0.0325103    30.045  < 2e-16 ***
DESTIN_GRID1129  2.7228770  0.0303384    89.750  < 2e-16 ***
DESTIN_GRID1130  2.7614212  0.0302298    91.348  < 2e-16 ***
DESTIN_GRID1131  2.0191132  0.0315464    64.005  < 2e-16 ***
DESTIN_GRID1136 -0.0023071  0.0337008    -0.068 0.945420    
DESTIN_GRID1138 -0.7716058  0.0410385   -18.802  < 2e-16 ***
DESTIN_GRID1139  1.8353338  0.0303985    60.376  < 2e-16 ***
DESTIN_GRID1141  1.5096820  0.0308945    48.866  < 2e-16 ***
DESTIN_GRID1148 -1.5590740  0.0833933   -18.695  < 2e-16 ***
DESTIN_GRID1149  0.8023035  0.0360282    22.269  < 2e-16 ***
DESTIN_GRID1150  3.0414308  0.0301690   100.813  < 2e-16 ***
DESTIN_GRID1151  1.7461051  0.0309137    56.483  < 2e-16 ***
DESTIN_GRID1158 -0.0296563  0.0324623    -0.914 0.360947    
DESTIN_GRID1159  1.6704637  0.0304986    54.772  < 2e-16 ***
DESTIN_GRID1160  2.6580506  0.0301841    88.061  < 2e-16 ***
DESTIN_GRID1171  3.5112894  0.0302321   116.144  < 2e-16 ***
DESTIN_GRID1172  3.7761843  0.0301389   125.293  < 2e-16 ***
DESTIN_GRID1173  0.7416737  0.0327991    22.613  < 2e-16 ***
DESTIN_GRID1174 -3.3419013  0.2444511   -13.671  < 2e-16 ***
DESTIN_GRID1178  1.0795517  0.0309881    34.838  < 2e-16 ***
DESTIN_GRID1179  1.5950369  0.0304561    52.372  < 2e-16 ***
DESTIN_GRID1180  2.3176630  0.0302232    76.685  < 2e-16 ***
DESTIN_GRID1181  1.6175746  0.0305834    52.891  < 2e-16 ***
DESTIN_GRID1183  0.8199673  0.0320395    25.592  < 2e-16 ***
DESTIN_GRID1190  0.2007990  0.0437261     4.592 4.39e-06 ***
DESTIN_GRID1192  2.4313042  0.0306046    79.443  < 2e-16 ***
DESTIN_GRID1193  2.3833192  0.0304494    78.271  < 2e-16 ***
DESTIN_GRID1194  0.7006732  0.0336338    20.832  < 2e-16 ***
DESTIN_GRID1200  1.3732380  0.0306298    44.833  < 2e-16 ***
DESTIN_GRID1201  1.5538993  0.0305127    50.926  < 2e-16 ***
DESTIN_GRID1203  1.4142138  0.0309424    45.705  < 2e-16 ***
DESTIN_GRID1204  1.1889772  0.0312149    38.090  < 2e-16 ***
DESTIN_GRID1211 -3.6643519  0.3347149   -10.948  < 2e-16 ***
DESTIN_GRID1214  2.9651756  0.0302987    97.865  < 2e-16 ***
DESTIN_GRID1215 -1.1833757  0.0595759   -19.863  < 2e-16 ***
DESTIN_GRID1216 -0.4665033  0.0424051   -11.001  < 2e-16 ***
DESTIN_GRID1220  2.0734622  0.0302881    68.458  < 2e-16 ***
DESTIN_GRID1221  1.9965932  0.0302733    65.952  < 2e-16 ***
DESTIN_GRID1222  1.5535579  0.0316423    49.098  < 2e-16 ***
DESTIN_GRID1223  0.3948002  0.0327348    12.061  < 2e-16 ***
DESTIN_GRID1224  1.3856215  0.0309846    44.720  < 2e-16 ***
DESTIN_GRID1231 -1.5360374  0.0740951   -20.731  < 2e-16 ***
DESTIN_GRID1232 -1.4416929  0.1179221   -12.226  < 2e-16 ***
DESTIN_GRID1235  0.3969326  0.0339677    11.686  < 2e-16 ***
DESTIN_GRID1236  1.0566842  0.0326984    32.316  < 2e-16 ***
DESTIN_GRID1241  0.2331984  0.0320769     7.270 3.60e-13 ***
DESTIN_GRID1242  1.3127203  0.0306063    42.890  < 2e-16 ***
DESTIN_GRID1243  1.7376541  0.0303706    57.215  < 2e-16 ***
DESTIN_GRID1246  1.2412057  0.0310286    40.002  < 2e-16 ***
DESTIN_GRID1256  1.8674654  0.0310268    60.189  < 2e-16 ***
DESTIN_GRID1257  2.4991088  0.0306744    81.472  < 2e-16 ***
DESTIN_GRID1258  1.1038446  0.0330338    33.416  < 2e-16 ***
DESTIN_GRID1262  0.1119506  0.0322281     3.474 0.000513 ***
DESTIN_GRID1263  1.7076029  0.0303279    56.305  < 2e-16 ***
DESTIN_GRID1264  0.5608952  0.0320785    17.485  < 2e-16 ***
DESTIN_GRID1265  0.5675205  0.0324056    17.513  < 2e-16 ***
DESTIN_GRID1266  1.1948252  0.0313052    38.167  < 2e-16 ***
DESTIN_GRID1267 -0.1690869  0.0382139    -4.425 9.66e-06 ***
DESTIN_GRID1272 -3.0189945  0.1276224   -23.656  < 2e-16 ***
DESTIN_GRID1273  1.4950027  0.0318670    46.914  < 2e-16 ***
DESTIN_GRID1277  2.9484968  0.0302740    97.394  < 2e-16 ***
DESTIN_GRID1278  0.9071064  0.0322714    28.109  < 2e-16 ***
DESTIN_GRID128   2.8379998  0.0371005    76.495  < 2e-16 ***
DESTIN_GRID1283  3.2572274  0.0300995   108.215  < 2e-16 ***
DESTIN_GRID1284  1.9942151  0.0302907    65.836  < 2e-16 ***
DESTIN_GRID1285  2.4067893  0.0301791    79.750  < 2e-16 ***
DESTIN_GRID1286 -0.1612460  0.0345636    -4.665 3.08e-06 ***
DESTIN_GRID1289 -1.0899203  0.0572288   -19.045  < 2e-16 ***
DESTIN_GRID129  -5.8614128  0.4097680   -14.304  < 2e-16 ***
DESTIN_GRID1293 -2.9483905  0.1216299   -24.241  < 2e-16 ***
DESTIN_GRID1294  2.7964477  0.0305205    91.625  < 2e-16 ***
DESTIN_GRID1295  0.4201561  0.0354399    11.855  < 2e-16 ***
DESTIN_GRID1298  1.8499797  0.0309014    59.867  < 2e-16 ***
DESTIN_GRID1299  2.5774201  0.0305064    84.488  < 2e-16 ***
DESTIN_GRID130  -0.0343444  0.0765879    -0.448 0.653842    
DESTIN_GRID1304  2.3380634  0.0302211    77.365  < 2e-16 ***
DESTIN_GRID1305  1.8443732  0.0302452    60.981  < 2e-16 ***
DESTIN_GRID1307 -0.3924038  0.0461370    -8.505  < 2e-16 ***
DESTIN_GRID1308  1.6805488  0.0305654    54.982  < 2e-16 ***
DESTIN_GRID131  -0.3672078  0.0454676    -8.076 6.68e-16 ***
DESTIN_GRID1310 -2.7409668  0.1590302   -17.236  < 2e-16 ***
DESTIN_GRID1316 -0.8118501  0.0472327   -17.188  < 2e-16 ***
DESTIN_GRID1317  1.1147397  0.0318698    34.978  < 2e-16 ***
DESTIN_GRID1318  0.4646610  0.0337605    13.763  < 2e-16 ***
DESTIN_GRID1319  3.3367873  0.0302118   110.446  < 2e-16 ***
DESTIN_GRID132  -0.2887874  0.0535712    -5.391 7.02e-08 ***
DESTIN_GRID1320  1.5718564  0.0318355    49.374  < 2e-16 ***
DESTIN_GRID1324  1.3593947  0.0369946    36.746  < 2e-16 ***
DESTIN_GRID1325 -0.0994165  0.0327600    -3.035 0.002408 ** 
DESTIN_GRID1326  2.0060436  0.0302445    66.328  < 2e-16 ***
DESTIN_GRID1327  1.7866434  0.0303261    58.914  < 2e-16 ***
DESTIN_GRID1328  0.6798205  0.0313135    21.710  < 2e-16 ***
DESTIN_GRID1329  0.7067995  0.0318750    22.174  < 2e-16 ***
DESTIN_GRID133  -0.9407866  0.0522752   -17.997  < 2e-16 ***
DESTIN_GRID1330  2.1954339  0.0310504    70.705  < 2e-16 ***
DESTIN_GRID1331 -2.8403487  0.2443966   -11.622  < 2e-16 ***
DESTIN_GRID1333  0.5705902  0.0335870    16.988  < 2e-16 ***
DESTIN_GRID1334  1.0428073  0.0324780    32.108  < 2e-16 ***
DESTIN_GRID1335  0.8671841  0.0337640    25.684  < 2e-16 ***
DESTIN_GRID1336 -0.5858622  0.0658643    -8.895  < 2e-16 ***
DESTIN_GRID1337 -0.4497887  0.0419107   -10.732  < 2e-16 ***
DESTIN_GRID1338 -2.5611109  0.0792210   -32.329  < 2e-16 ***
DESTIN_GRID1339  3.1926744  0.0301875   105.761  < 2e-16 ***
DESTIN_GRID134   2.9313302  0.0312462    93.814  < 2e-16 ***
DESTIN_GRID1340  2.1862897  0.0307302    71.145  < 2e-16 ***
DESTIN_GRID1341 -1.1080625  0.1044365   -10.610  < 2e-16 ***
DESTIN_GRID1346  1.4416985  0.0307787    46.841  < 2e-16 ***
DESTIN_GRID1347  2.8074275  0.0301287    93.181  < 2e-16 ***
DESTIN_GRID1348  1.4611015  0.0304609    47.966  < 2e-16 ***
DESTIN_GRID1349  1.5995548  0.0305889    52.292  < 2e-16 ***
DESTIN_GRID1350  0.2837762  0.0336018     8.445  < 2e-16 ***
DESTIN_GRID1353  1.8697727  0.0306426    61.019  < 2e-16 ***
DESTIN_GRID1354  0.2621013  0.0338751     7.737 1.02e-14 ***
DESTIN_GRID1355  1.4220550  0.0312476    45.509  < 2e-16 ***
DESTIN_GRID1357  0.4793602  0.0362275    13.232  < 2e-16 ***
DESTIN_GRID1358  3.3754124  0.0301653   111.897  < 2e-16 ***
DESTIN_GRID1359  2.1301172  0.0304468    69.962  < 2e-16 ***
DESTIN_GRID1360  2.0187267  0.0305785    66.018  < 2e-16 ***
DESTIN_GRID1361  3.2606293  0.0302967   107.623  < 2e-16 ***
DESTIN_GRID1362 -1.1533615  0.0659614   -17.485  < 2e-16 ***
DESTIN_GRID1368  0.6355879  0.0311074    20.432  < 2e-16 ***
DESTIN_GRID1369  0.5905519  0.0310589    19.014  < 2e-16 ***
DESTIN_GRID1370  2.0462538  0.0302067    67.742  < 2e-16 ***
DESTIN_GRID1371  0.8566010  0.0311513    27.498  < 2e-16 ***
DESTIN_GRID1372 -0.1249024  0.0344378    -3.627 0.000287 ***
DESTIN_GRID1373 -0.9363791  0.0446800   -20.957  < 2e-16 ***
DESTIN_GRID1374  0.5447797  0.0321431    16.949  < 2e-16 ***
DESTIN_GRID1375  2.2064332  0.0307083    71.851  < 2e-16 ***
DESTIN_GRID1376  1.2592623  0.0327855    38.409  < 2e-16 ***
DESTIN_GRID1379  0.1043896  0.0409718     2.548 0.010839 *  
DESTIN_GRID1380  3.1375242  0.0301793   103.963  < 2e-16 ***
DESTIN_GRID1381  3.5945527  0.0301080   119.389  < 2e-16 ***
DESTIN_GRID1382  2.7908596  0.0305079    91.480  < 2e-16 ***
DESTIN_GRID1383  0.7391754  0.0344868    21.434  < 2e-16 ***
DESTIN_GRID1388  1.3775313  0.0305438    45.100  < 2e-16 ***
DESTIN_GRID1389  0.8206571  0.0307836    26.659  < 2e-16 ***
DESTIN_GRID1390  0.9768858  0.0307425    31.776  < 2e-16 ***
DESTIN_GRID1391  0.7492221  0.0310243    24.150  < 2e-16 ***
DESTIN_GRID1392  1.1818953  0.0366629    32.237  < 2e-16 ***
DESTIN_GRID1393 -0.6751295  0.0360147   -18.746  < 2e-16 ***
DESTIN_GRID1394  1.2380398  0.0308677    40.108  < 2e-16 ***
DESTIN_GRID1395  1.6156270  0.0306251    52.755  < 2e-16 ***
DESTIN_GRID1396  2.3744891  0.0303499    78.237  < 2e-16 ***
DESTIN_GRID1397  2.3262752  0.0303633    76.615  < 2e-16 ***
DESTIN_GRID1398  1.1002758  0.0322493    34.118  < 2e-16 ***
DESTIN_GRID1400  2.2915038  0.0307227    74.587  < 2e-16 ***
DESTIN_GRID1401  2.7122156  0.0302001    89.808  < 2e-16 ***
DESTIN_GRID1402  2.3723061  0.0304002    78.036  < 2e-16 ***
DESTIN_GRID1404  3.0542401  0.0327908    93.143  < 2e-16 ***
DESTIN_GRID1410  2.1066956  0.0301965    69.766  < 2e-16 ***
DESTIN_GRID1411  0.8268791  0.0308930    26.766  < 2e-16 ***
DESTIN_GRID1412  2.0284153  0.0302168    67.129  < 2e-16 ***
DESTIN_GRID1413  1.6454979  0.0304203    54.092  < 2e-16 ***
DESTIN_GRID1414  1.0949913  0.0307356    35.626  < 2e-16 ***
DESTIN_GRID1415  0.8230182  0.0313074    26.288  < 2e-16 ***
DESTIN_GRID1416  1.4085719  0.0308327    45.684  < 2e-16 ***
DESTIN_GRID1417  1.2671413  0.0308253    41.107  < 2e-16 ***
DESTIN_GRID1418  2.0857058  0.0304012    68.606  < 2e-16 ***
DESTIN_GRID1419  1.6181317  0.0307754    52.579  < 2e-16 ***
DESTIN_GRID1422  2.5367822  0.0304014    83.443  < 2e-16 ***
DESTIN_GRID1423  2.3361134  0.0305177    76.550  < 2e-16 ***
DESTIN_GRID1430  1.5427106  0.0305880    50.435  < 2e-16 ***
DESTIN_GRID1431  2.3947963  0.0301454    79.441  < 2e-16 ***
DESTIN_GRID1432  2.0404843  0.0301862    67.597  < 2e-16 ***
DESTIN_GRID1433 -0.2072596  0.0351757    -5.892 3.81e-09 ***
DESTIN_GRID1434  1.9050327  0.0303359    62.798  < 2e-16 ***
DESTIN_GRID1435  2.0009406  0.0302548    66.136  < 2e-16 ***
DESTIN_GRID1436 -0.9456890  0.0385741   -24.516  < 2e-16 ***
DESTIN_GRID1437  2.3538990  0.0302514    77.811  < 2e-16 ***
DESTIN_GRID1438  2.7355067  0.0301198    90.821  < 2e-16 ***
DESTIN_GRID1439  3.2067357  0.0301029   106.526  < 2e-16 ***
DESTIN_GRID1440  0.0635278  0.0351677     1.806 0.070852 .  
DESTIN_GRID1442  1.7626398  0.0316115    55.760  < 2e-16 ***
DESTIN_GRID1443  2.7763807  0.0303689    91.422  < 2e-16 ***
DESTIN_GRID1444  1.9446534  0.0316943    61.357  < 2e-16 ***
DESTIN_GRID1452  1.3908425  0.0304772    45.636  < 2e-16 ***
DESTIN_GRID1453  1.5515912  0.0303678    51.093  < 2e-16 ***
DESTIN_GRID1454  0.8288892  0.0310578    26.689  < 2e-16 ***
DESTIN_GRID1455  0.6968011  0.0314043    22.188  < 2e-16 ***
DESTIN_GRID1456  1.7439212  0.0304217    57.325  < 2e-16 ***
DESTIN_GRID1457  2.5038272  0.0302411    82.795  < 2e-16 ***
DESTIN_GRID1458  2.9319540  0.0301270    97.320  < 2e-16 ***
DESTIN_GRID1459  1.7127905  0.0304254    56.295  < 2e-16 ***
DESTIN_GRID1460  1.9850708  0.0303047    65.504  < 2e-16 ***
DESTIN_GRID1461  0.2867748  0.0331860     8.641  < 2e-16 ***
DESTIN_GRID1464  3.2698620  0.0302880   107.959  < 2e-16 ***
DESTIN_GRID1465  2.4173124  0.0308665    78.315  < 2e-16 ***
DESTIN_GRID1472  0.3923402  0.0322042    12.183  < 2e-16 ***
DESTIN_GRID1473  1.1508591  0.0306336    37.569  < 2e-16 ***
DESTIN_GRID1474  2.0775783  0.0301609    68.883  < 2e-16 ***
DESTIN_GRID1475  2.4221634  0.0301421    80.358  < 2e-16 ***
DESTIN_GRID1476  1.6592963  0.0304302    54.528  < 2e-16 ***
DESTIN_GRID1477  3.2456408  0.0300469   108.019  < 2e-16 ***
DESTIN_GRID1478  1.2927303  0.0306637    42.158  < 2e-16 ***
DESTIN_GRID1479  1.2030852  0.0306931    39.197  < 2e-16 ***
DESTIN_GRID1480  3.3936184  0.0300528   112.922  < 2e-16 ***
DESTIN_GRID1481  0.6609739  0.0321193    20.579  < 2e-16 ***
DESTIN_GRID1482  0.5621805  0.0334755    16.794  < 2e-16 ***
DESTIN_GRID1485  1.8796098  0.0312945    60.062  < 2e-16 ***
DESTIN_GRID1494  0.5161469  0.0314925    16.390  < 2e-16 ***
DESTIN_GRID1495  1.1200077  0.0305117    36.707  < 2e-16 ***
DESTIN_GRID1496  2.1159240  0.0301615    70.153  < 2e-16 ***
DESTIN_GRID1497  1.7650356  0.0303523    58.152  < 2e-16 ***
DESTIN_GRID1498  1.8952411  0.0303236    62.501  < 2e-16 ***
DESTIN_GRID1499  2.4686736  0.0301588    81.856  < 2e-16 ***
DESTIN_GRID150  -0.1009812  0.0515561    -1.959 0.050152 .  
DESTIN_GRID1500  2.2478681  0.0304593    73.799  < 2e-16 ***
DESTIN_GRID1501  2.4911171  0.0301770    82.550  < 2e-16 ***
DESTIN_GRID1502  2.2314732  0.0302906    73.669  < 2e-16 ***
DESTIN_GRID1506 -1.0649449  0.0802153   -13.276  < 2e-16 ***
DESTIN_GRID151  -0.1455466  0.0575621    -2.529 0.011455 *  
DESTIN_GRID1514 -4.1262522  0.4487673    -9.195  < 2e-16 ***
DESTIN_GRID1515  0.5764680  0.0342337    16.839  < 2e-16 ***
DESTIN_GRID1516  1.8088100  0.0302565    59.782  < 2e-16 ***
DESTIN_GRID1517  2.0811519  0.0303510    68.570  < 2e-16 ***
DESTIN_GRID1518  1.7610564  0.0303638    57.999  < 2e-16 ***
DESTIN_GRID1519  2.4579712  0.0303453    81.000  < 2e-16 ***
DESTIN_GRID152  -0.1673107  0.0627685    -2.666 0.007687 ** 
DESTIN_GRID1520  1.8786340  0.0303821    61.834  < 2e-16 ***
DESTIN_GRID1521  0.2149642  0.0324094     6.633 3.29e-11 ***
DESTIN_GRID1522  2.8519229  0.0301327    94.646  < 2e-16 ***
DESTIN_GRID1523  1.2925688  0.0321551    40.198  < 2e-16 ***
DESTIN_GRID1524  1.6079812  0.0312501    51.455  < 2e-16 ***
DESTIN_GRID1527  1.4019799  0.0334223    41.947  < 2e-16 ***
DESTIN_GRID153  -0.0147255  0.0500682    -0.294 0.768675    
DESTIN_GRID1535 -0.2633422  0.0572779    -4.598 4.27e-06 ***
DESTIN_GRID1536  0.5438767  0.0329676    16.497  < 2e-16 ***
DESTIN_GRID1537  1.1499986  0.0307124    37.444  < 2e-16 ***
DESTIN_GRID1538  1.8336543  0.0302669    60.583  < 2e-16 ***
DESTIN_GRID1539  1.7647666  0.0302837    58.274  < 2e-16 ***
DESTIN_GRID154  -1.0349136  0.0585985   -17.661  < 2e-16 ***
DESTIN_GRID1540  2.0221457  0.0302395    66.871  < 2e-16 ***
DESTIN_GRID1541  3.1953134  0.0304349   104.988  < 2e-16 ***
DESTIN_GRID1542  0.0899633  0.0343157     2.622 0.008751 ** 
DESTIN_GRID1543  1.0762019  0.0366519    29.363  < 2e-16 ***
DESTIN_GRID1544  1.5875073  0.0310935    51.056  < 2e-16 ***
DESTIN_GRID1547 -1.2957237  0.0662474   -19.559  < 2e-16 ***
DESTIN_GRID155  -0.4365653  0.0429013   -10.176  < 2e-16 ***
DESTIN_GRID1556  0.0248357  0.0488210     0.509 0.610956    
DESTIN_GRID1557  1.3061273  0.0313900    41.610  < 2e-16 ***
DESTIN_GRID1558  1.2726165  0.0353235    36.027  < 2e-16 ***
DESTIN_GRID1559  1.8633356  0.0302678    61.562  < 2e-16 ***
DESTIN_GRID156   0.0461652  0.0547905     0.843 0.399466    
DESTIN_GRID1560  2.6586744  0.0301215    88.265  < 2e-16 ***
DESTIN_GRID1561  2.1120985  0.0303717    69.542  < 2e-16 ***
DESTIN_GRID1562 -0.8007879  0.0366582   -21.845  < 2e-16 ***
DESTIN_GRID1563  1.2970179  0.0307423    42.190  < 2e-16 ***
DESTIN_GRID1564  0.0437880  0.0332735     1.316 0.188172    
DESTIN_GRID1565  0.4293827  0.0325922    13.174  < 2e-16 ***
DESTIN_GRID1566  0.3875280  0.0344467    11.250  < 2e-16 ***
DESTIN_GRID1567 -2.1511075  0.0943650   -22.796  < 2e-16 ***
DESTIN_GRID1568 -1.2078394  0.0698386   -17.295  < 2e-16 ***
DESTIN_GRID1578 -0.8657238  0.0644991   -13.422  < 2e-16 ***
DESTIN_GRID1580  0.3676944  0.0328041    11.209  < 2e-16 ***
DESTIN_GRID1581 -0.4595807  0.0334634   -13.734  < 2e-16 ***
DESTIN_GRID1582  2.2821237  0.0301675    75.648  < 2e-16 ***
DESTIN_GRID1583  1.3055083  0.0332516    39.262  < 2e-16 ***
DESTIN_GRID1584  0.7917094  0.0314184    25.199  < 2e-16 ***
DESTIN_GRID1585  2.1824806  0.0305377    71.468  < 2e-16 ***
DESTIN_GRID1586  0.1569357  0.0330591     4.747 2.06e-06 ***
DESTIN_GRID1589 -0.2461666  0.0405681    -6.068 1.30e-09 ***
DESTIN_GRID1590 -1.2707787  0.0735532   -17.277  < 2e-16 ***
DESTIN_GRID1600  2.2768301  0.0316177    72.011  < 2e-16 ***
DESTIN_GRID1601  1.2194527  0.0305823    39.874  < 2e-16 ***
DESTIN_GRID1602  1.6922233  0.0304348    55.602  < 2e-16 ***
DESTIN_GRID1603  2.4097977  0.0302564    79.646  < 2e-16 ***
DESTIN_GRID1604  1.0061004  0.0308031    32.662  < 2e-16 ***
DESTIN_GRID1605  1.8658462  0.0303459    61.486  < 2e-16 ***
DESTIN_GRID1606  2.1506186  0.0308981    69.604  < 2e-16 ***
DESTIN_GRID1607  0.8245870  0.0315934    26.100  < 2e-16 ***
DESTIN_GRID1608  2.9151397  0.0302638    96.324  < 2e-16 ***
DESTIN_GRID1609  2.7844855  0.0304587    91.418  < 2e-16 ***
DESTIN_GRID1610 -0.8489385  0.0748387   -11.344  < 2e-16 ***
DESTIN_GRID1622  1.3634013  0.0336693    40.494  < 2e-16 ***
DESTIN_GRID1623  2.4289649  0.0301496    80.564  < 2e-16 ***
DESTIN_GRID1624  1.1734566  0.0308021    38.097  < 2e-16 ***
DESTIN_GRID1625  2.3574568  0.0302625    77.900  < 2e-16 ***
DESTIN_GRID1626  3.3983955  0.0300625   113.044  < 2e-16 ***
DESTIN_GRID1627  1.2837291  0.0307767    41.711  < 2e-16 ***
DESTIN_GRID1628  3.1454949  0.0301251   104.414  < 2e-16 ***
DESTIN_GRID1629  1.8323227  0.0307307    59.625  < 2e-16 ***
DESTIN_GRID1630  1.8500909  0.0310439    59.596  < 2e-16 ***
DESTIN_GRID1631 -1.3938725  0.0617950   -22.556  < 2e-16 ***
DESTIN_GRID1642 -0.1837775  0.0404916    -4.539 5.66e-06 ***
DESTIN_GRID1643  2.1696450  0.0302578    71.705  < 2e-16 ***
DESTIN_GRID1644  0.6483116  0.0318665    20.345  < 2e-16 ***
DESTIN_GRID1645  1.5966457  0.0304150    52.495  < 2e-16 ***
DESTIN_GRID1646  1.0072565  0.0313064    32.174  < 2e-16 ***
DESTIN_GRID1647  1.8911725  0.0303177    62.378  < 2e-16 ***
DESTIN_GRID1648  2.1716048  0.0303031    71.663  < 2e-16 ***
DESTIN_GRID1649  2.7721429  0.0301822    91.847  < 2e-16 ***
DESTIN_GRID1650  2.9187428  0.0303715    96.101  < 2e-16 ***
DESTIN_GRID1664 -2.0524286  0.0906433   -22.643  < 2e-16 ***
DESTIN_GRID1665  2.4832753  0.0301557    82.348  < 2e-16 ***
DESTIN_GRID1666  1.3319364  0.0305129    43.652  < 2e-16 ***
DESTIN_GRID1667  0.4916186  0.0354972    13.850  < 2e-16 ***
DESTIN_GRID1668  2.0814456  0.0302807    68.738  < 2e-16 ***
DESTIN_GRID1670  3.0234726  0.0301245   100.366  < 2e-16 ***
DESTIN_GRID1671  3.4747099  0.0304600   114.074  < 2e-16 ***
DESTIN_GRID1672  2.9818898  0.0305459    97.620  < 2e-16 ***
DESTIN_GRID1684  1.5036687  0.0321100    46.829  < 2e-16 ***
DESTIN_GRID1685  1.9788589  0.0303607    65.178  < 2e-16 ***
DESTIN_GRID1686  1.4683102  0.0304713    48.187  < 2e-16 ***
DESTIN_GRID1687  1.3575344  0.0308850    43.954  < 2e-16 ***
DESTIN_GRID1688  0.8584286  0.0310688    27.630  < 2e-16 ***
DESTIN_GRID1689  0.4270737  0.0320187    13.338  < 2e-16 ***
DESTIN_GRID1690  1.6364201  0.0307929    53.143  < 2e-16 ***
DESTIN_GRID1691  2.5222801  0.0302756    83.311  < 2e-16 ***
DESTIN_GRID1692  2.0454052  0.0309858    66.011  < 2e-16 ***
DESTIN_GRID1706  1.9056587  0.0305763    62.325  < 2e-16 ***
DESTIN_GRID1707  1.8043519  0.0303213    59.508  < 2e-16 ***
DESTIN_GRID1708  1.9313447  0.0302759    63.792  < 2e-16 ***
DESTIN_GRID1709  1.5984663  0.0304908    52.425  < 2e-16 ***
DESTIN_GRID1710  2.4193049  0.0302501    79.977  < 2e-16 ***
DESTIN_GRID1711  2.6037770  0.0302523    86.069  < 2e-16 ***
DESTIN_GRID1712  2.8580155  0.0301366    94.835  < 2e-16 ***
DESTIN_GRID1713  0.4039981  0.0328916    12.283  < 2e-16 ***
DESTIN_GRID1714  2.9240827  0.0303594    96.316  < 2e-16 ***
DESTIN_GRID172  -0.4693829  0.1156800    -4.058 4.96e-05 ***
DESTIN_GRID1727  2.0367909  0.0303850    67.033  < 2e-16 ***
DESTIN_GRID1728  2.0365765  0.0302697    67.281  < 2e-16 ***
DESTIN_GRID1729  1.3994397  0.0304592    45.945  < 2e-16 ***
DESTIN_GRID1730 -0.7444860  0.0376726   -19.762  < 2e-16 ***
DESTIN_GRID1731  2.0644485  0.0303745    67.966  < 2e-16 ***
DESTIN_GRID1732  2.5296142  0.0301782    83.823  < 2e-16 ***
DESTIN_GRID1733  2.2341399  0.0303078    73.715  < 2e-16 ***
DESTIN_GRID1734  2.8396709  0.0302061    94.010  < 2e-16 ***
DESTIN_GRID1735  4.0516569  0.0307692   131.679  < 2e-16 ***
DESTIN_GRID174  -0.4587885  0.0554768    -8.270  < 2e-16 ***
DESTIN_GRID1748  1.1858424  0.0310254    38.222  < 2e-16 ***
DESTIN_GRID1749  2.4703893  0.0301528    81.929  < 2e-16 ***
DESTIN_GRID175   2.3035827  0.0314026    73.356  < 2e-16 ***
DESTIN_GRID1750  1.1700778  0.0305954    38.244  < 2e-16 ***
DESTIN_GRID1751  0.0612144  0.0322408     1.899 0.057609 .  
DESTIN_GRID1753  2.6520270  0.0301887    87.848  < 2e-16 ***
DESTIN_GRID1754  3.2533708  0.0300869   108.132  < 2e-16 ***
DESTIN_GRID1755  2.6087314  0.0302213    86.321  < 2e-16 ***
DESTIN_GRID1756  2.1362648  0.0304708    70.109  < 2e-16 ***
DESTIN_GRID1757  0.2715702  0.0437914     6.201 5.59e-10 ***
DESTIN_GRID176  -0.5285990  0.0456596   -11.577  < 2e-16 ***
DESTIN_GRID1769  1.7538852  0.0304545    57.590  < 2e-16 ***
DESTIN_GRID1770  0.8390145  0.0309072    27.146  < 2e-16 ***
DESTIN_GRID1771  0.8166361  0.0311641    26.204  < 2e-16 ***
DESTIN_GRID1772 -0.5238601  0.0374246   -13.998  < 2e-16 ***
DESTIN_GRID1774  2.1088916  0.0303968    69.379  < 2e-16 ***
DESTIN_GRID1775  1.7418566  0.0305728    56.974  < 2e-16 ***
DESTIN_GRID1776  3.3460237  0.0301108   111.124  < 2e-16 ***
DESTIN_GRID1777  2.9733205  0.0302502    98.291  < 2e-16 ***
DESTIN_GRID1778  2.3046654  0.0336040    68.583  < 2e-16 ***
DESTIN_GRID1790  2.5298202  0.0302601    83.602  < 2e-16 ***
DESTIN_GRID1791  1.1868725  0.0308719    38.445  < 2e-16 ***
DESTIN_GRID1792  1.6600280  0.0306790    54.110  < 2e-16 ***
DESTIN_GRID1793  0.5829122  0.0313035    18.621  < 2e-16 ***
DESTIN_GRID1794 -0.5319665  0.0433240   -12.279  < 2e-16 ***
DESTIN_GRID1795 -0.7663380  0.0412006   -18.600  < 2e-16 ***
DESTIN_GRID1796  2.7341119  0.0302626    90.346  < 2e-16 ***
DESTIN_GRID1797  2.6737345  0.0302162    88.487  < 2e-16 ***
DESTIN_GRID1798  2.6903588  0.0302232    89.016  < 2e-16 ***
DESTIN_GRID1799  2.1201247  0.0308200    68.791  < 2e-16 ***
DESTIN_GRID1800  2.0582324  0.0376862    54.615  < 2e-16 ***
DESTIN_GRID1811  1.5183713  0.0306861    49.481  < 2e-16 ***
DESTIN_GRID1812  2.5313478  0.0301459    83.970  < 2e-16 ***
DESTIN_GRID1813  2.1985493  0.0302116    72.772  < 2e-16 ***
DESTIN_GRID1817  2.6994362  0.0304091    88.771  < 2e-16 ***
DESTIN_GRID1818  2.5412156  0.0302747    83.939  < 2e-16 ***
DESTIN_GRID1819  3.3750115  0.0301347   111.998  < 2e-16 ***
DESTIN_GRID1820  0.6201251  0.0384153    16.143  < 2e-16 ***
DESTIN_GRID1832  2.6957804  0.0302253    89.190  < 2e-16 ***
DESTIN_GRID1833  1.4263876  0.0306161    46.589  < 2e-16 ***
DESTIN_GRID1834  1.5446753  0.0304076    50.799  < 2e-16 ***
DESTIN_GRID1835  0.6716650  0.0314972    21.325  < 2e-16 ***
DESTIN_GRID1837 -1.5789531  0.0687782   -22.957  < 2e-16 ***
DESTIN_GRID1839  2.1508465  0.0307327    69.986  < 2e-16 ***
DESTIN_GRID1840  3.9051596  0.0300695   129.871  < 2e-16 ***
DESTIN_GRID1841  0.6279456  0.0368311    17.049  < 2e-16 ***
DESTIN_GRID1842  3.7701847  0.0317346   118.803  < 2e-16 ***
DESTIN_GRID1853  1.8995898  0.0303726    62.543  < 2e-16 ***
DESTIN_GRID1854  1.9208996  0.0303654    63.259  < 2e-16 ***
DESTIN_GRID1855  2.4818915  0.0302079    82.160  < 2e-16 ***
DESTIN_GRID1858 -0.7110345  0.0472682   -15.043  < 2e-16 ***
DESTIN_GRID1860  3.3646140  0.0310904   108.220  < 2e-16 ***
DESTIN_GRID1861  2.6413668  0.0303636    86.991  < 2e-16 ***
DESTIN_GRID1874  2.3846990  0.0304484    78.319  < 2e-16 ***
DESTIN_GRID1875  0.4179817  0.0330635    12.642  < 2e-16 ***
DESTIN_GRID1876  2.4279477  0.0317118    76.563  < 2e-16 ***
DESTIN_GRID1877  2.0334719  0.0303706    66.955  < 2e-16 ***
DESTIN_GRID1880 -1.5493516  0.0595549   -26.015  < 2e-16 ***
DESTIN_GRID1882  2.7211367  0.0303557    89.642  < 2e-16 ***
DESTIN_GRID1883  3.0766713  0.0314123    97.945  < 2e-16 ***
DESTIN_GRID1895  1.9497952  0.0304384    64.057  < 2e-16 ***
DESTIN_GRID1896  0.7180196  0.0312575    22.971  < 2e-16 ***
DESTIN_GRID1897  0.9010193  0.0314539    28.646  < 2e-16 ***
DESTIN_GRID1898 -2.3058699  0.0857544   -26.889  < 2e-16 ***
DESTIN_GRID1901 -1.9548148  0.0937608   -20.849  < 2e-16 ***
DESTIN_GRID1903  2.3459228  0.0311395    75.336  < 2e-16 ***
DESTIN_GRID1917  1.1116896  0.0310708    35.779  < 2e-16 ***
DESTIN_GRID1918  2.2796678  0.0304432    74.883  < 2e-16 ***
DESTIN_GRID1919  2.2811802  0.0303110    75.259  < 2e-16 ***
DESTIN_GRID1922 -0.0514248  0.0393453    -1.307 0.191208    
DESTIN_GRID1924  2.4967449  0.0312434    79.913  < 2e-16 ***
DESTIN_GRID1937  1.7778315  0.0306793    57.949  < 2e-16 ***
DESTIN_GRID1938  2.2392113  0.0302754    73.961  < 2e-16 ***
DESTIN_GRID1939  2.6998534  0.0302333    89.301  < 2e-16 ***
DESTIN_GRID1942 -1.1275200  0.0489936   -23.014  < 2e-16 ***
DESTIN_GRID195  -3.6766962  0.2205655   -16.669  < 2e-16 ***
DESTIN_GRID1959  1.2983892  0.0311455    41.688  < 2e-16 ***
DESTIN_GRID196  -0.7340669  0.0469400   -15.638  < 2e-16 ***
DESTIN_GRID1960  3.6110771  0.0300463   120.184  < 2e-16 ***
DESTIN_GRID1961  1.4783554  0.0307901    48.014  < 2e-16 ***
DESTIN_GRID1962  2.4624337  0.0302722    81.343  < 2e-16 ***
DESTIN_GRID1964 -1.1419937  0.0693620   -16.464  < 2e-16 ***
DESTIN_GRID197  -1.9471931  0.1071473   -18.173  < 2e-16 ***
DESTIN_GRID1979  1.4632432  0.0311087    47.037  < 2e-16 ***
DESTIN_GRID1980 -0.1046761  0.0327843    -3.193 0.001409 ** 
DESTIN_GRID1981  2.1600372  0.0303450    71.183  < 2e-16 ***
DESTIN_GRID1982  0.8797165  0.0319357    27.547  < 2e-16 ***
DESTIN_GRID1983  2.3514126  0.0303040    77.594  < 2e-16 ***
DESTIN_GRID1984  1.3231037  0.0309159    42.797  < 2e-16 ***
DESTIN_GRID1985  1.7667077  0.0307462    57.461  < 2e-16 ***
DESTIN_GRID2001  1.9178984  0.0305168    62.847  < 2e-16 ***
DESTIN_GRID2002  2.1580693  0.0302301    71.388  < 2e-16 ***
DESTIN_GRID2003  2.0196104  0.0303740    66.491  < 2e-16 ***
DESTIN_GRID2004  2.5866375  0.0302166    85.603  < 2e-16 ***
DESTIN_GRID2005  2.3209012  0.0302772    76.655  < 2e-16 ***
DESTIN_GRID2006  1.5093214  0.0308894    48.862  < 2e-16 ***
DESTIN_GRID2007  0.3499510  0.0346294    10.106  < 2e-16 ***
DESTIN_GRID2022  2.1507891  0.0305658    70.366  < 2e-16 ***
DESTIN_GRID2023  2.8760192  0.0301527    95.382  < 2e-16 ***
DESTIN_GRID2024  2.0240891  0.0302947    66.813  < 2e-16 ***
DESTIN_GRID2025  1.8067692  0.0303432    59.544  < 2e-16 ***
DESTIN_GRID2026  1.2706273  0.0311044    40.850  < 2e-16 ***
DESTIN_GRID2027  2.8579396  0.0302120    94.596  < 2e-16 ***
DESTIN_GRID2043  1.7104027  0.0308259    55.486  < 2e-16 ***
DESTIN_GRID2044  2.4316341  0.0302229    80.457  < 2e-16 ***
DESTIN_GRID2045 -0.6494312  0.0413641   -15.700  < 2e-16 ***
DESTIN_GRID2046  2.3857281  0.0301634    79.093  < 2e-16 ***
DESTIN_GRID2047  1.8868965  0.0303657    62.139  < 2e-16 ***
DESTIN_GRID2048  2.0994069  0.0303467    69.181  < 2e-16 ***
DESTIN_GRID2049 -0.3174590  0.0378422    -8.389  < 2e-16 ***
DESTIN_GRID2064  2.3094146  0.0303672    76.050  < 2e-16 ***
DESTIN_GRID2065  1.1764700  0.0308545    38.130  < 2e-16 ***
DESTIN_GRID2066 -0.6485407  0.0397391   -16.320  < 2e-16 ***
DESTIN_GRID2067  3.6410423  0.0300468   121.179  < 2e-16 ***
DESTIN_GRID2068  1.9949553  0.0305747    65.249  < 2e-16 ***
DESTIN_GRID2069  2.2792659  0.0303805    75.024  < 2e-16 ***
DESTIN_GRID2085  1.3528702  0.0312124    43.344  < 2e-16 ***
DESTIN_GRID2086  2.7090820  0.0302099    89.675  < 2e-16 ***
DESTIN_GRID2087  1.1321654  0.0308786    36.665  < 2e-16 ***
DESTIN_GRID2088  1.8236346  0.0302956    60.195  < 2e-16 ***
DESTIN_GRID2089  1.2771447  0.0308536    41.394  < 2e-16 ***
DESTIN_GRID2090  3.2932818  0.0301097   109.376  < 2e-16 ***
DESTIN_GRID2091 -1.1789386  0.0625126   -18.859  < 2e-16 ***
DESTIN_GRID2105 -0.0404257  0.0900107    -0.449 0.653344    
DESTIN_GRID2106 -0.0145154  0.0340540    -0.426 0.669928    
DESTIN_GRID2107  0.8565883  0.0311569    27.493  < 2e-16 ***
DESTIN_GRID2108  2.1371535  0.0303565    70.402  < 2e-16 ***
DESTIN_GRID2109  1.7173847  0.0303521    56.582  < 2e-16 ***
DESTIN_GRID2110  1.1207661  0.0310415    36.105  < 2e-16 ***
DESTIN_GRID2111 -1.7802538  0.0607994   -29.281  < 2e-16 ***
DESTIN_GRID2128  0.7729743  0.0324447    23.824  < 2e-16 ***
DESTIN_GRID2129  0.7118548  0.0322704    22.059  < 2e-16 ***
DESTIN_GRID2130  2.4092384  0.0301909    79.800  < 2e-16 ***
DESTIN_GRID2131  2.6695401  0.0302934    88.123  < 2e-16 ***
DESTIN_GRID2132  1.9303186  0.0304349    63.424  < 2e-16 ***
DESTIN_GRID2148  1.6052241  0.0317942    50.488  < 2e-16 ***
DESTIN_GRID2149 -0.2535718  0.0341190    -7.432 1.07e-13 ***
DESTIN_GRID215  -0.6167290  0.0794257    -7.765 8.17e-15 ***
DESTIN_GRID2150  2.2246688  0.0303273    73.355  < 2e-16 ***
DESTIN_GRID2151  2.8998113  0.0301255    96.258  < 2e-16 ***
DESTIN_GRID2152  2.9064098  0.0301776    96.310  < 2e-16 ***
DESTIN_GRID2153  2.1879939  0.0305208    71.689  < 2e-16 ***
DESTIN_GRID216   2.7759444  0.0312975    88.695  < 2e-16 ***
DESTIN_GRID217   0.8099429  0.0364611    22.214  < 2e-16 ***
DESTIN_GRID2171  1.7515857  0.0305255    57.381  < 2e-16 ***
DESTIN_GRID2172  1.3984808  0.0309270    45.219  < 2e-16 ***
DESTIN_GRID2173  1.8324665  0.0304193    60.240  < 2e-16 ***
DESTIN_GRID2174  2.2623246  0.0304077    74.400  < 2e-16 ***
DESTIN_GRID2191  0.9345825  0.0322835    28.949  < 2e-16 ***
DESTIN_GRID2192  0.4090592  0.0326128    12.543  < 2e-16 ***
DESTIN_GRID2193  1.6909541  0.0306134    55.236  < 2e-16 ***
DESTIN_GRID2194  2.2059828  0.0303374    72.715  < 2e-16 ***
DESTIN_GRID2195  1.3710625  0.0360819    37.999  < 2e-16 ***
DESTIN_GRID2212 -0.4695714  0.0646006    -7.269 3.63e-13 ***
DESTIN_GRID2213 -0.3795074  0.0380620    -9.971  < 2e-16 ***
DESTIN_GRID2214 -0.3642595  0.0389836    -9.344  < 2e-16 ***
DESTIN_GRID2215  2.0601541  0.0305725    67.386  < 2e-16 ***
DESTIN_GRID2216 -0.1987675  0.0347721    -5.716 1.09e-08 ***
DESTIN_GRID2233 -0.5376313  0.0473485   -11.355  < 2e-16 ***
DESTIN_GRID2234 -0.0573781  0.0406908    -1.410 0.158510    
DESTIN_GRID2235  1.2833850  0.0322560    39.788  < 2e-16 ***
DESTIN_GRID2236 -0.0827412  0.0347116    -2.384 0.017141 *  
DESTIN_GRID2237 -1.4275559  0.0552283   -25.848  < 2e-16 ***
DESTIN_GRID2256 -0.9480068  0.0453443   -20.907  < 2e-16 ***
DESTIN_GRID2257  0.0266345  0.0363691     0.732 0.463962    
DESTIN_GRID2258  0.5277692  0.0326711    16.154  < 2e-16 ***
DESTIN_GRID2259 -0.6928758  0.0601675   -11.516  < 2e-16 ***
DESTIN_GRID2277 -0.2855133  0.0482007    -5.923 3.15e-09 ***
DESTIN_GRID2278  1.2924778  0.0324936    39.776  < 2e-16 ***
DESTIN_GRID2279 -0.7913598  0.0377017   -20.990  < 2e-16 ***
DESTIN_GRID2280 -1.4820527  0.0669320   -22.143  < 2e-16 ***
DESTIN_GRID2297  0.2904850  0.0365982     7.937 2.07e-15 ***
DESTIN_GRID23    0.7702117  0.0927976     8.300  < 2e-16 ***
DESTIN_GRID2300 -1.5955658  0.0641351   -24.878  < 2e-16 ***
DESTIN_GRID2301 -0.1643434  0.0355597    -4.622 3.81e-06 ***
DESTIN_GRID2318  1.7073963  0.0314795    54.238  < 2e-16 ***
DESTIN_GRID2319  2.7921035  0.0307687    90.745  < 2e-16 ***
DESTIN_GRID2322  1.7110150  0.0319436    53.564  < 2e-16 ***
DESTIN_GRID2337  2.6196551  0.0331543    79.014  < 2e-16 ***
DESTIN_GRID2341  2.3190348  0.0307610    75.389  < 2e-16 ***
DESTIN_GRID2343  0.7565683  0.0320726    23.589  < 2e-16 ***
DESTIN_GRID2361  0.5292458  0.0328747    16.099  < 2e-16 ***
DESTIN_GRID2364 -0.1256232  0.0353161    -3.557 0.000375 ***
DESTIN_GRID237  -2.7231058  0.1541789   -17.662  < 2e-16 ***
DESTIN_GRID2379  1.1580381  0.0371769    31.149  < 2e-16 ***
DESTIN_GRID238  -1.0589995  0.0549372   -19.277  < 2e-16 ***
DESTIN_GRID2384  0.1293108  0.0342343     3.777 0.000159 ***
DESTIN_GRID239  -1.5285959  0.1137615   -13.437  < 2e-16 ***
DESTIN_GRID2405 -0.2488591  0.0348736    -7.136 9.61e-13 ***
DESTIN_GRID2406 -1.8445039  0.0544677   -33.864  < 2e-16 ***
DESTIN_GRID2426 -0.7666706  0.0438337   -17.490  < 2e-16 ***
DESTIN_GRID2427  0.5295890  0.0328868    16.103  < 2e-16 ***
DESTIN_GRID2505  0.3025817  0.0665112     4.549 5.38e-06 ***
DESTIN_GRID257  -2.1038297  0.0599645   -35.085  < 2e-16 ***
DESTIN_GRID258   0.0597083  0.0407122     1.467 0.142486    
DESTIN_GRID259   0.2131848  0.0431136     4.945 7.63e-07 ***
DESTIN_GRID278  -0.7364213  0.0528824   -13.926  < 2e-16 ***
DESTIN_GRID279  -0.8065990  0.0472206   -17.081  < 2e-16 ***
DESTIN_GRID280  -0.3699484  0.0510401    -7.248 4.22e-13 ***
DESTIN_GRID298  -4.3051968  1.0004598    -4.303 1.68e-05 ***
DESTIN_GRID299  -1.8091395  0.0572166   -31.619  < 2e-16 ***
DESTIN_GRID300   2.5320705  0.0314725    80.453  < 2e-16 ***
DESTIN_GRID320  -2.2888052  0.0667103   -34.310  < 2e-16 ***
DESTIN_GRID321  -0.4667889  0.0931217    -5.013 5.37e-07 ***
DESTIN_GRID322  -0.1016918  0.0553522    -1.837 0.066184 .  
DESTIN_GRID340   0.2826331  0.0405333     6.973 3.11e-12 ***
DESTIN_GRID341  -1.2700451  0.0465763   -27.268  < 2e-16 ***
DESTIN_GRID342   0.3506772  0.0422567     8.299  < 2e-16 ***
DESTIN_GRID363  -0.6104443  0.0485499   -12.574  < 2e-16 ***
DESTIN_GRID364   0.0788272  0.0390063     2.021 0.043291 *  
DESTIN_GRID383  -0.9530194  0.0408763   -23.315  < 2e-16 ***
DESTIN_GRID384  -0.9408854  0.0461351   -20.394  < 2e-16 ***
DESTIN_GRID385  -0.5289072  0.0483456   -10.940  < 2e-16 ***
DESTIN_GRID404   1.0612247  0.0490042    21.656  < 2e-16 ***
DESTIN_GRID405  -1.7783605  0.0588149   -30.237  < 2e-16 ***
DESTIN_GRID406   3.5512557  0.0303079   117.172  < 2e-16 ***
DESTIN_GRID407   1.1124260  0.0347039    32.055  < 2e-16 ***
DESTIN_GRID408   2.3692412  0.0318859    74.304  < 2e-16 ***
DESTIN_GRID425  -2.0510234  0.0905637   -22.647  < 2e-16 ***
DESTIN_GRID426  -1.4373363  0.0460353   -31.223  < 2e-16 ***
DESTIN_GRID427  -0.0787020  0.0365083    -2.156 0.031105 *  
DESTIN_GRID428  -0.4301287  0.0384666   -11.182  < 2e-16 ***
DESTIN_GRID429   1.6630174  0.0346047    48.058  < 2e-16 ***
DESTIN_GRID44    0.0769879  0.0822472     0.936 0.349245    
DESTIN_GRID446  -0.3924278  0.0652712    -6.012 1.83e-09 ***
DESTIN_GRID447  -1.6435470  0.0615008   -26.724  < 2e-16 ***
DESTIN_GRID448  -0.4837275  0.0413197   -11.707  < 2e-16 ***
DESTIN_GRID449   2.5695871  0.0307828    83.475  < 2e-16 ***
DESTIN_GRID450   0.8125738  0.0327991    24.774  < 2e-16 ***
DESTIN_GRID46    0.7669883  0.0496927    15.435  < 2e-16 ***
DESTIN_GRID468   0.1857367  0.0405639     4.579 4.68e-06 ***
DESTIN_GRID469   0.5671282  0.0343908    16.491  < 2e-16 ***
DESTIN_GRID470   2.9824212  0.0303311    98.329  < 2e-16 ***
DESTIN_GRID471   1.4800500  0.0325342    45.492  < 2e-16 ***
DESTIN_GRID488  -0.9724427  0.0672013   -14.471  < 2e-16 ***
DESTIN_GRID489  -1.1228835  0.1007982   -11.140  < 2e-16 ***
DESTIN_GRID490   1.3733553  0.0324827    42.280  < 2e-16 ***
DESTIN_GRID491   1.6614689  0.0311899    53.270  < 2e-16 ***
DESTIN_GRID493  -3.3129961  0.2063458   -16.056  < 2e-16 ***
DESTIN_GRID494  -0.8412468  0.0690521   -12.183  < 2e-16 ***
DESTIN_GRID509  -0.8986665  0.0469842   -19.127  < 2e-16 ***
DESTIN_GRID510  -0.6591663  0.0429171   -15.359  < 2e-16 ***
DESTIN_GRID511   0.8542627  0.0318831    26.794  < 2e-16 ***
DESTIN_GRID512   3.3537470  0.0301624   111.190  < 2e-16 ***
DESTIN_GRID513  -0.3120885  0.0415839    -7.505 6.14e-14 ***
DESTIN_GRID514  -0.1593217  0.0531540    -2.997 0.002723 ** 
DESTIN_GRID515  -0.7736508  0.0863356    -8.961  < 2e-16 ***
DESTIN_GRID530  -1.6062323  0.0714481   -22.481  < 2e-16 ***
DESTIN_GRID531   0.3473574  0.0361545     9.608  < 2e-16 ***
DESTIN_GRID532  -0.4633694  0.0367877   -12.596  < 2e-16 ***
DESTIN_GRID533   3.2135039  0.0301252   106.672  < 2e-16 ***
DESTIN_GRID534   3.6554548  0.0301780   121.130  < 2e-16 ***
DESTIN_GRID536   0.8284756  0.0377438    21.950  < 2e-16 ***
DESTIN_GRID537  -1.6532138  0.1573331   -10.508  < 2e-16 ***
DESTIN_GRID538  -0.4634028  0.1026168    -4.516 6.31e-06 ***
DESTIN_GRID539  -1.6369491  1.0004623    -1.636 0.101799    
DESTIN_GRID551  -1.7358731  0.0669508   -25.928  < 2e-16 ***
DESTIN_GRID552  -0.2994187  0.0514047    -5.825 5.72e-09 ***
DESTIN_GRID553  -0.6112751  0.0357298   -17.108  < 2e-16 ***
DESTIN_GRID554   2.6238253  0.0302429    86.758  < 2e-16 ***
DESTIN_GRID555   2.2151652  0.0310395    71.366  < 2e-16 ***
DESTIN_GRID559  -0.0742711  0.0650142    -1.142 0.253294    
DESTIN_GRID560   2.0699940  0.0443975    46.624  < 2e-16 ***
DESTIN_GRID561  -3.4908383  0.4484840    -7.784 7.05e-15 ***
DESTIN_GRID572  -3.3613670  0.2690195   -12.495  < 2e-16 ***
DESTIN_GRID573  -0.7691402  0.0442185   -17.394  < 2e-16 ***
DESTIN_GRID574  -0.4358592  0.0463776    -9.398  < 2e-16 ***
DESTIN_GRID575   4.4084182  0.0300345   146.779  < 2e-16 ***
DESTIN_GRID576   2.6551286  0.0303531    87.475  < 2e-16 ***
DESTIN_GRID578  -1.4408610  0.0772112   -18.661  < 2e-16 ***
DESTIN_GRID582  -1.3151359  0.0945606   -13.908  < 2e-16 ***
DESTIN_GRID583  -1.0458636  0.2376134    -4.402 1.07e-05 ***
DESTIN_GRID584   1.0369711  0.0616132    16.830  < 2e-16 ***
DESTIN_GRID593  -0.8985850  0.0755961   -11.887  < 2e-16 ***
DESTIN_GRID594  -0.3789244  0.0400947    -9.451  < 2e-16 ***
DESTIN_GRID595  -0.8155386  0.0372637   -21.886  < 2e-16 ***
DESTIN_GRID596   2.2366688  0.0302841    73.856  < 2e-16 ***
DESTIN_GRID597  -0.8886480  0.0745281   -11.924  < 2e-16 ***
DESTIN_GRID603  -0.7011863  0.1039140    -6.748 1.50e-11 ***
DESTIN_GRID604  -1.4450117  0.1492386    -9.683  < 2e-16 ***
DESTIN_GRID615  -1.3476714  0.0505505   -26.660  < 2e-16 ***
DESTIN_GRID616  -0.7565081  0.0428678   -17.647  < 2e-16 ***
DESTIN_GRID617   0.0919230  0.0326355     2.817 0.004853 ** 
DESTIN_GRID618   3.1132202  0.0301926   103.112  < 2e-16 ***
DESTIN_GRID620  -1.1170528  0.0647155   -17.261  < 2e-16 ***
DESTIN_GRID637  -1.2799549  0.0495776   -25.817  < 2e-16 ***
DESTIN_GRID638   2.8425775  0.0301925    94.148  < 2e-16 ***
DESTIN_GRID657   0.2397258  0.0364089     6.584 4.57e-11 ***
DESTIN_GRID658   1.8655782  0.0307341    60.701  < 2e-16 ***
DESTIN_GRID659   2.2564257  0.0304212    74.173  < 2e-16 ***
DESTIN_GRID66   -0.7514426  0.0922395    -8.147 3.74e-16 ***
DESTIN_GRID660   3.4237903  0.0301210   113.668  < 2e-16 ***
DESTIN_GRID662   3.5775204  0.0306573   116.694  < 2e-16 ***
DESTIN_GRID67    0.0831464  0.0403677     2.060 0.039425 *  
DESTIN_GRID677   0.6769098  0.0385694    17.550  < 2e-16 ***
DESTIN_GRID678  -0.8810592  0.0430700   -20.456  < 2e-16 ***
DESTIN_GRID679   3.1580663  0.0301746   104.660  < 2e-16 ***
DESTIN_GRID68    1.0005402  0.0414975    24.111  < 2e-16 ***
DESTIN_GRID680   3.4070459  0.0301570   112.977  < 2e-16 ***
DESTIN_GRID681   2.2610739  0.0312364    72.386  < 2e-16 ***
DESTIN_GRID699  -0.0563875  0.0372797    -1.513 0.130393    
DESTIN_GRID700   2.6377240  0.0304074    86.746  < 2e-16 ***
DESTIN_GRID701   1.5697483  0.0310481    50.559  < 2e-16 ***
DESTIN_GRID702   3.2215628  0.0301539   106.837  < 2e-16 ***
DESTIN_GRID704   0.1819854  0.0420820     4.325 1.53e-05 ***
DESTIN_GRID722   0.3052315  0.0342875     8.902  < 2e-16 ***
DESTIN_GRID725  -0.5420581  0.0505974   -10.713  < 2e-16 ***
DESTIN_GRID741   1.5303733  0.0318185    48.097  < 2e-16 ***
DESTIN_GRID743   0.4947719  0.0332201    14.894  < 2e-16 ***
DESTIN_GRID744   2.5351330  0.0303611    83.499  < 2e-16 ***
DESTIN_GRID761   0.0433563  0.0413172     1.049 0.294015    
DESTIN_GRID762   1.9250438  0.0309274    62.244  < 2e-16 ***
DESTIN_GRID763  -0.8307309  0.0412401   -20.144  < 2e-16 ***
DESTIN_GRID764   3.2837516  0.0301288   108.990  < 2e-16 ***
DESTIN_GRID765   1.7496259  0.0317840    55.047  < 2e-16 ***
DESTIN_GRID767   3.6771998  0.0302630   121.508  < 2e-16 ***
DESTIN_GRID772  -0.6347695  0.0805754    -7.878 3.33e-15 ***
DESTIN_GRID784   0.1737951  0.0344000     5.052 4.37e-07 ***
DESTIN_GRID785   2.0547430  0.0303573    67.685  < 2e-16 ***
DESTIN_GRID786   1.8450696  0.0307084    60.084  < 2e-16 ***
DESTIN_GRID787   2.3355554  0.0311257    75.036  < 2e-16 ***
DESTIN_GRID788   3.2988153  0.0304280   108.414  < 2e-16 ***
DESTIN_GRID789   1.2661047  0.0326451    38.784  < 2e-16 ***
DESTIN_GRID803  -1.9695741  0.0753313   -26.146  < 2e-16 ***
DESTIN_GRID804   2.9141772  0.0302704    96.272  < 2e-16 ***
DESTIN_GRID805   3.2400500  0.0300951   107.660  < 2e-16 ***
DESTIN_GRID806   2.4815806  0.0303037    81.890  < 2e-16 ***
DESTIN_GRID807   3.6668094  0.0302352   121.276  < 2e-16 ***
DESTIN_GRID808   1.4248846  0.0330831    43.070  < 2e-16 ***
DESTIN_GRID809   3.4435436  0.0301352   114.270  < 2e-16 ***
DESTIN_GRID810   2.7527140  0.0304819    90.307  < 2e-16 ***
DESTIN_GRID814   1.6150787  0.0372439    43.365  < 2e-16 ***
DESTIN_GRID824  -0.9945786  0.0534644   -18.603  < 2e-16 ***
DESTIN_GRID826   0.7461979  0.0315319    23.665  < 2e-16 ***
DESTIN_GRID827   2.5030342  0.0302378    82.778  < 2e-16 ***
DESTIN_GRID828   2.8724458  0.0301850    95.161  < 2e-16 ***
DESTIN_GRID829   2.9141156  0.0303453    96.032  < 2e-16 ***
DESTIN_GRID830   3.0255866  0.0304373    99.404  < 2e-16 ***
DESTIN_GRID831   4.1003410  0.0300355   136.516  < 2e-16 ***
DESTIN_GRID832   3.4736162  0.0304442   114.098  < 2e-16 ***
DESTIN_GRID835   0.2471234  0.0468970     5.269 1.37e-07 ***
DESTIN_GRID844  -1.3146135  0.0832247   -15.796  < 2e-16 ***
DESTIN_GRID846   1.9542428  0.0305041    64.065  < 2e-16 ***
DESTIN_GRID847   2.0665896  0.0305132    67.728  < 2e-16 ***
DESTIN_GRID848   2.2505238  0.0303636    74.119  < 2e-16 ***
DESTIN_GRID849   1.5515254  0.0309793    50.083  < 2e-16 ***
DESTIN_GRID850   2.5806459  0.0304066    84.871  < 2e-16 ***
DESTIN_GRID851   2.9847448  0.0302014    98.828  < 2e-16 ***
DESTIN_GRID852   2.4959834  0.0305602    81.674  < 2e-16 ***
DESTIN_GRID853   4.4530569  0.0302362   147.276  < 2e-16 ***
DESTIN_GRID854   1.0248067  0.0402056    25.489  < 2e-16 ***
DESTIN_GRID855  -0.2222069  0.0513676    -4.326 1.52e-05 ***
DESTIN_GRID856   1.3596297  0.0364849    37.266  < 2e-16 ***
DESTIN_GRID86    0.1549365  0.0693282     2.235 0.025429 *  
DESTIN_GRID866   0.2094325  0.0390774     5.359 8.35e-08 ***
DESTIN_GRID867   0.8538313  0.0324152    26.340  < 2e-16 ***
DESTIN_GRID868   0.7458416  0.0326838    22.820  < 2e-16 ***
DESTIN_GRID869   2.5292371  0.0306480    82.525  < 2e-16 ***
DESTIN_GRID87   -3.5637239  0.1993147   -17.880  < 2e-16 ***
DESTIN_GRID870   3.5850861  0.0300689   119.229  < 2e-16 ***
DESTIN_GRID871   3.4321331  0.0304967   112.541  < 2e-16 ***
DESTIN_GRID872   1.1522894  0.0319543    36.061  < 2e-16 ***
DESTIN_GRID873   1.9165433  0.0311149    61.596  < 2e-16 ***
DESTIN_GRID874   1.4828209  0.0313031    47.370  < 2e-16 ***
DESTIN_GRID875  -1.1385929  0.0754775   -15.085  < 2e-16 ***
DESTIN_GRID876   0.2184577  0.0422799     5.167 2.38e-07 ***
DESTIN_GRID877   0.1556592  0.0454900     3.422 0.000622 ***
DESTIN_GRID88    0.3249882  0.0373793     8.694  < 2e-16 ***
DESTIN_GRID887   0.2994801  0.0332880     8.997  < 2e-16 ***
DESTIN_GRID888   1.8730541  0.0306582    61.095  < 2e-16 ***
DESTIN_GRID889  -0.4959209  0.0374375   -13.247  < 2e-16 ***
DESTIN_GRID89   -1.3017382  0.0604135   -21.547  < 2e-16 ***
DESTIN_GRID890   2.9560832  0.0301562    98.026  < 2e-16 ***
DESTIN_GRID891   1.7964617  0.0318538    56.397  < 2e-16 ***
DESTIN_GRID893   3.1264402  0.0301638   103.649  < 2e-16 ***
DESTIN_GRID894   1.1048269  0.0320571    34.464  < 2e-16 ***
DESTIN_GRID895   0.9516322  0.0331720    28.688  < 2e-16 ***
DESTIN_GRID896  -0.0640584  0.0412951    -1.551 0.120845    
DESTIN_GRID897   0.2009875  0.0374978     5.360 8.32e-08 ***
DESTIN_GRID898   0.0570663  0.0475813     1.199 0.230394    
DESTIN_GRID90   -6.1869385  0.5782869   -10.699  < 2e-16 ***
DESTIN_GRID908   1.3785986  0.0339874    40.562  < 2e-16 ***
DESTIN_GRID909   1.6833924  0.0304539    55.277  < 2e-16 ***
DESTIN_GRID910  -1.0125281  0.0388948   -26.032  < 2e-16 ***
DESTIN_GRID911   1.4465351  0.0309735    46.702  < 2e-16 ***
DESTIN_GRID912   2.4960672  0.0302846    82.420  < 2e-16 ***
DESTIN_GRID915   2.8717419  0.0302353    94.980  < 2e-16 ***
DESTIN_GRID917   2.6874975  0.0305565    87.952  < 2e-16 ***
DESTIN_GRID918  -1.6645980  0.0655037   -25.412  < 2e-16 ***
DESTIN_GRID919   0.3285664  0.0354022     9.281  < 2e-16 ***
DESTIN_GRID928   0.7423140  0.0328593    22.591  < 2e-16 ***
DESTIN_GRID929   2.2324574  0.0302675    73.758  < 2e-16 ***
DESTIN_GRID930   2.6287640  0.0301438    87.208  < 2e-16 ***
DESTIN_GRID931  -0.4198457  0.0367424   -11.427  < 2e-16 ***
DESTIN_GRID932   0.5027865  0.0370419    13.573  < 2e-16 ***
DESTIN_GRID933   2.4083566  0.0305558    78.818  < 2e-16 ***
DESTIN_GRID934  -0.7731254  0.0423295   -18.264  < 2e-16 ***
DESTIN_GRID935   4.1041043  0.0300283   136.674  < 2e-16 ***
DESTIN_GRID938  -4.6948474  0.4093495   -11.469  < 2e-16 ***
DESTIN_GRID939   3.9704706  0.0301967   131.487  < 2e-16 ***
DESTIN_GRID940  -0.7441338  0.0520082   -14.308  < 2e-16 ***
DESTIN_GRID949   0.8717983  0.0318410    27.380  < 2e-16 ***
DESTIN_GRID950   2.6443782  0.0303224    87.209  < 2e-16 ***
DESTIN_GRID951   3.7787580  0.0300279   125.842  < 2e-16 ***
DESTIN_GRID952   0.0051412  0.0369216     0.139 0.889255    
DESTIN_GRID953   1.4309826  0.0312414    45.804  < 2e-16 ***
DESTIN_GRID954  -0.0805432  0.0355866    -2.263 0.023617 *  
DESTIN_GRID955   2.6153559  0.0303933    86.050  < 2e-16 ***
DESTIN_GRID956   0.9200236  0.0319041    28.837  < 2e-16 ***
DESTIN_GRID957   3.2987955  0.0303447   108.711  < 2e-16 ***
DESTIN_GRID959   0.1873338  0.0418459     4.477 7.58e-06 ***
DESTIN_GRID961  -0.1252760  0.0385710    -3.248 0.001162 ** 
DESTIN_GRID962   4.5856373  0.0302152   151.766  < 2e-16 ***
DESTIN_GRID970   1.3557749  0.0306992    44.163  < 2e-16 ***
DESTIN_GRID971   2.3180261  0.0301762    76.816  < 2e-16 ***
DESTIN_GRID972   2.2173813  0.0302682    73.258  < 2e-16 ***
DESTIN_GRID974   1.9849731  0.0308301    64.384  < 2e-16 ***
DESTIN_GRID975   1.4301035  0.0313417    45.629  < 2e-16 ***
DESTIN_GRID976   0.1998542  0.0347076     5.758 8.50e-09 ***
DESTIN_GRID977   3.1372156  0.0301584   104.025  < 2e-16 ***
DESTIN_GRID978   3.3514748  0.0305507   109.702  < 2e-16 ***
DESTIN_GRID982   0.5643044  0.0336188    16.785  < 2e-16 ***
DESTIN_GRID991   1.5061257  0.0308434    48.831  < 2e-16 ***
DESTIN_GRID992   1.6830173  0.0305023    55.177  < 2e-16 ***
DESTIN_GRID993   0.9439000  0.0310064    30.442  < 2e-16 ***
DESTIN_GRID994   0.7266746  0.0315360    23.043  < 2e-16 ***
DESTIN_GRID995   1.8829106  0.0305984    61.536  < 2e-16 ***
DESTIN_GRID996   1.5334744  0.0312229    49.114  < 2e-16 ***
DESTIN_GRID997   1.1374287  0.0362966    31.337  < 2e-16 ***
DESTIN_GRID998   3.8550319  0.0301041   128.057  < 2e-16 ***
DESTIN_GRID999   3.2837132  0.0304599   107.805  < 2e-16 ***
log(DIST)       -1.6047635  0.0002854 -5622.612  < 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: 92579202  on 67841  degrees of freedom
Residual deviance: 22270313  on 66213  degrees of freedom
AIC: 22644883

Number of Fisher Scoring iterations: 8
CalcRSquared(dbcSIM_Poisson$data$TRIPS, dbcSIM_Poisson$fitted.values)
[1] 0.5859244

Here we have a R-square value of 0.586, which indicates that about 59% of variation can be explained by the doubly model, the best so far.

Model Comparison

To compare the suitability between different models, we can use the Root-mean-square deviation(RMSE). We can do that using performance package. RMSE measures the difference in the predicted values by the model and the observed values, so a smaller RMSE value shows more accurate modelling.

We will first list all of the models used for attractive modelling.

code chunk
model_list <- list(unconstrained=uncSIM,
                   originConstrained=orcSIM_Poisson,
                   destinationConstrained=decSIM,
                  
                   doublyConstrained=dbcSIM_Poisson)

We can then compare using the compare_performance() function of the performance package.

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

Name                   | Model |     RMSE
-----------------------------------------
unconstrained          |   glm | 1428.875
originConstrained      |   glm | 1221.907
destinationConstrained |   glm | 1300.877
doublyConstrained      |   glm | 1043.379

From the different RMSE calculated above, we can see that the doubly constrained model has the lowest RMSE value of 1043.379, which represents the most accurate model out of the tested models.

Plotting

Here we can visualise the modelling of the graphs between the observed and fitted values. Before we do that we will sort out fitted values into a dataframe.

df_model <- as.data.frame(orcSIM_Poisson$fitted.values) %>%
  round(digits = 0)
inter_zonal_flow <- inter_zonal_flow %>%
  cbind(df_model)
df_model <- as.data.frame(decSIM$fitted.values) %>%
  round(digits = 0)
inter_zonal_flow <- inter_zonal_flow %>%
  cbind(df_model) 
df_model <- as.data.frame(uncSIM$fitted.values) %>%
  round(digits = 0)
inter_zonal_flow <- inter_zonal_flow %>%
  cbind(df_model)
df_model <- as.data.frame(dbcSIM_Poisson$fitted.values) %>%
  round(digits = 0)
inter_zonal_flow <- inter_zonal_flow %>%
  cbind(df_model) 

Here we will rename the columns for easier recognition.

code chunk
inter_zonal_flow <- inter_zonal_flow %>%
  rename(uncTRIPS = "uncSIM.fitted.values",
         decTRIPS = "decSIM.fitted.values",
         orcTRIPS = "orcSIM_Poisson.fitted.values",
         dbcTRIPS = "dbcSIM_Poisson.fitted.values")

Finally we can then plot the scatterplots using geom_point() from the ggplot package.

code chunk
unc_p <- ggplot(data = inter_zonal_flow,
                aes(x = uncTRIPS,
                    y = TRIPS)) +
  geom_point() +
  geom_smooth(method = lm)

dec_p <- ggplot(data = inter_zonal_flow,
                aes(x = decTRIPS,
                    y = TRIPS)) +
  geom_point() +
  geom_smooth(method = lm)

orc_p <- ggplot(data = inter_zonal_flow,
                aes(x = orcTRIPS,
                    y = TRIPS)) +
  geom_point() +
  geom_smooth(method = lm)



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

ggarrange(unc_p, orc_p,dec_p, dbc_p,
          ncol = 2,
          nrow = 2)
`geom_smooth()` using formula = 'y ~ x'
`geom_smooth()` using formula = 'y ~ x'
`geom_smooth()` using formula = 'y ~ x'
`geom_smooth()` using formula = 'y ~ x'

The plot shows the the observed(y-axis) and an estimated value(x-axis). Each observed and estimated pair trip value will form a dot on the graph. We can see that amongst the 4 plots, the plot from the doubly constrained model shows the best grouping, indicative of the accuracy from that model as seen previously. This is also echoed from its high R-square value and low RMSE value. The unconstrained model shows the widest spread.