library(sf)
## Linking to GEOS 3.9.1, GDAL 3.2.1, PROJ 7.2.1; sf_use_s2() is TRUE
library(stars)
## Loading required package: abind
library(gstat)
library(automap)
## Loading required package: sp
library(leaflet)
library(leafem)
library(dplyr)
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
(santander <- st_read("C:/Users/DELL/Documents/GB2022/Datos/municipiosantander.shp"))
## Reading layer `municipiosantander' from data source 
##   `C:\Users\DELL\Documents\GB2022\Datos\municipiosantander.shp' 
##   using driver `ESRI Shapefile'
## Simple feature collection with 87 features and 0 fields
## Geometry type: POLYGON
## Dimension:     XY
## Bounding box:  xmin: -74.52895 ymin: 5.707536 xmax: -72.47706 ymax: 8.14501
## Geodetic CRS:  WGS 84
archivo <- ("evapo.tif")
(eTo <- read_stars(archivo))
## stars object with 2 dimensions and 1 attribute
## attribute(s):
##             Min.  1st Qu. Median     Mean 3rd Qu. Max.
## evapo.tif  694.1 1006.925 1196.5 1147.068  1309.9 1349
## dimension(s):
##   from to   offset      delta refsys point values x/y
## x    1 50 -74.5417  0.0416667 WGS 84 FALSE   NULL [x]
## y    1 60  8.16667 -0.0416667 WGS 84 FALSE   NULL [y]
eTo.mask <- st_crop(eTo, santander)
eTo
## stars object with 2 dimensions and 1 attribute
## attribute(s):
##             Min.  1st Qu. Median     Mean 3rd Qu. Max.
## evapo.tif  694.1 1006.925 1196.5 1147.068  1309.9 1349
## dimension(s):
##   from to   offset      delta refsys point values x/y
## x    1 50 -74.5417  0.0416667 WGS 84 FALSE   NULL [x]
## y    1 60  8.16667 -0.0416667 WGS 84 FALSE   NULL [y]
m <- leaflet() %>%
  addTiles() %>%  
  leafem:::addGeoRaster(
      eTo.mask,
      opacity = 0.7,                
      colorOptions = colorOptions(palette = c("orange", "yellow", "cyan", "blue"), 
                                  domain = 695:1350)
    ) 
#
m  # Print the map
eTo.pts <- st_as_sf(eTo.mask, as_points = TRUE, merge = FALSE, long = TRUE)
eTo.pts
dt = sort(sample(1444, 1444*.7))
train<-eTo.pts[dt,]
test<-eTo.pts[-dt,]
train
longit <- st_coordinates(train)[,1]
latit <- st_coordinates(train)[,2]
evo <- train$evapo.tif
id <- seq(1,1010,1) 
(sitios <- data.frame(id, longit, latit, evo))
m <- leaflet() %>%
  addTiles() %>%  
  leafem:::addGeoRaster(
      eTo.mask,
      opacity = 0.7,                
      colorOptions = colorOptions(palette = c("orange", "yellow", "cyan", "blue"), 
                                  domain = 600:1400)
    ) %>%
  addMarkers(lng=sitios$longit,lat=sitios$latit, popup=sitios$rain, clusterOptions = markerClusterOptions())
m  # Print the map
(dem = read_stars("C:/Users/DELL/Documents/GB2022/Datos/demsant2.tif"))
## stars object with 2 dimensions and 1 attribute
## attribute(s):
##               Min. 1st Qu. Median     Mean 3rd Qu. Max.  NA's
## demsant2.tif    37     144    923 1160.442    1901 4322 36363
## dimension(s):
##   from  to   offset       delta refsys point values x/y
## x    1 247 -74.5333  0.00833333 WGS 84 FALSE   NULL [x]
## y    1 293     8.15 -0.00833333 WGS 84 FALSE   NULL [y]
pal.dem <- colorNumeric(palette = c("forestgreen", "green", "yellow", "brown", "lightcyan"), domain = 37:4322, na.color = "transparent")
m <- leaflet() %>%
  addTiles() %>%  
  leafem:::addGeoRaster(
      dem,
      opacity = 0.7,                
      colorOptions = colorOptions(palette = c("forestgreen", "green", "yellow",  "brown",         "lightcyan"), 
                                  domain = 37:4322)
    ) %>%
  addMarkers(lng=sitios$longit,lat=sitios$latit, popup=sitios$rain, clusterOptions = markerClusterOptions()) %>%
  addLegend("bottomright", pal = pal.dem, values= dem$demsant2.tif,
    title = "Elevation")
m  # Print the map
st_crs(dem) <- st_crs(train)
(train = st_join(train, st_as_sf(dem)))
train = train[!is.na(train$demsant2.tif),]
names(train) <- c("evapo", "elev", "geometry")
train

Interpolacion espacial

###IDW

g1 = gstat(formula = evapo ~ 1, data = train)
z1 = predict(g1, dem)
## [inverse distance weighted interpolation]
z1
## stars object with 2 dimensions and 2 attributes
## attribute(s):
##             Min.  1st Qu.   Median    Mean 3rd Qu.   Max.  NA's
## var1.pred  694.1 1089.674 1177.298 1169.08 1290.28 1339.2 36363
## var1.var      NA       NA       NA     NaN      NA     NA 72371
## dimension(s):
##   from  to   offset       delta refsys point values x/y
## x    1 247 -74.5333  0.00833333 WGS 84    NA   NULL [x]
## y    1 293     8.15 -0.00833333 WGS 84    NA   NULL [y]
z1 = z1["var1.pred",,]
names(z1) = "Evapotranspiracion"
b = seq(150, 2000, 150)
plot(z1, breaks = b, col = hcl.colors(length(b)-1, "Spectral"), reset = FALSE)
plot(st_geometry(train), pch = 3, add = TRUE)

v_emp_ok = variogram(evapo ~ 1, data=train)
v_mod_ok = autofitVariogram(evapo ~ 1, as(train, "Spatial"))
plot(v_mod_ok)

v_mod_ok$var_model
g2 = gstat(formula = evapo ~ 1, model = v_mod_ok$var_model, data = train)
z2= predict(g2, dem)
## [using ordinary kriging]
z2
## stars object with 2 dimensions and 2 attributes
## attribute(s):
##                 Min.   1st Qu.    Median      Mean   3rd Qu.     Max.  NA's
## var1.pred  695.17814 1066.9332 1197.2253 1166.4682 1312.3004 1338.809 36363
## var1.var    67.05494  649.5289  745.7355  811.7219  970.0821 3487.435 36363
## dimension(s):
##   from  to   offset       delta refsys point values x/y
## x    1 247 -74.5333  0.00833333 WGS 84    NA   NULL [x]
## y    1 293     8.15 -0.00833333 WGS 84    NA   NULL [y]
z2 = z2["var1.pred",,]
names(z2) = "evapo"
b = seq(150, 2000, 150)
plot(z2, breaks = b, col = hcl.colors(length(b)-1, "Spectral"), reset = FALSE)
plot(st_geometry(train), pch = 3, add = TRUE)
contour(z2, breaks = b, add = TRUE)

### Kriging univervarl

v_emp_uk = variogram(evapo ~ elev, train)
train.sp = as(train, "Spatial")
v_mod_uk = autofitVariogram(evapo ~ elev, train.sp)
plot(v_emp_ok, model = v_mod_ok$var_model, ylim = c(0, 37000), main = "OK")

plot(v_emp_uk, model = v_mod_uk$var_model, ylim = c(0, 1700), main = "UK")

g3 = gstat(formula = evapo ~ elev, model = v_mod_uk$var_model, data = train.sp)
names(dem)
## [1] "demsant2.tif"
names(dem) <- "elev"
## [using universal kriging]
z3 = predict(g3, dem)
## [using universal kriging]
z3
## stars object with 2 dimensions and 2 attributes
## attribute(s):
##                Min.   1st Qu.    Median      Mean   3rd Qu.      Max.  NA's
## var1.pred  674.4243 1066.5857 1197.2024 1165.7077 1313.6886 1334.7178 36363
## var1.var   381.0416  458.3292  472.1171  477.1871  493.5435  729.4182 36363
## dimension(s):
##   from  to   offset       delta refsys point values x/y
## x    1 247 -74.5333  0.00833333 WGS 84    NA   NULL [x]
## y    1 293     8.15 -0.00833333 WGS 84    NA   NULL [y]
z3 = z3["var1.pred",,]
names(z3) = "Evapotranspiracion"
b = seq(150, 2000, 150)
plot(z3, breaks = b, col = hcl.colors(length(b)-1, "Spectral"), reset = FALSE)
plot(st_geometry(train), pch = 3, add = TRUE)
contour(z3, breaks = b, add = TRUE)

paleta <- colorNumeric(palette = c("orange", "yellow", "lightcyan", "blue", "darkblue"), domain = 100:2000, na.color = "transparent")
colores <- colorOptions(palette = c("orange", "yellow", "lightcyan", "blue", "darkblue"), domain = 100:2000, na.color = "transparent")
m <- leaflet() %>%
  addTiles() %>%  
  addGeoRaster(z1, opacity = 0.7, colorOptions = colores, group="IDW") %>%
  addGeoRaster(z2, colorOptions = colores, opacity = 0.7, group= "OK")  %>%
  addGeoRaster(z3, colorOptions = colores, opacity = 0.7, group= "UK")  %>%
  # Add layers controls
  addLayersControl(
    overlayGroups = c("UK", "OK", "IDW"),
    options = layersControlOptions(collapsed = FALSE)
  ) %>% 
  
    addLegend("bottomright", pal = paleta, values= z1$Evapotranspiracion,
    title = "Evapotranspiracion (2020)"
  )
m  # Print the map

Validacion cruzada

### run the following code from the console -- line-by-line
cv1 = gstat.cv(g1)
## [inverse distance weighted interpolation]
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## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
## [inverse distance weighted interpolation]
#cv2 = gstat.cv(g2)
#cv3 = gstat.cv(g3)
### run the following code from the console -- line-by-line
cv1 = st_as_sf(cv1)
#cv2 = st_as_sf(cv2)
#cv3 = st_as_sf(cv3)
bubble(as(cv1[, "residual"], "Spatial"))

sqrt(sum((cv1$var1.pred - cv1$observed)^2) / nrow(cv1))
## [1] 61.65293