library(tmap)
library(readr)
library(sf)
## Linking to GEOS 3.13.0, GDAL 3.10.1, PROJ 9.5.1; sf_use_s2() is TRUE
library(sp)
library(ggplot2)
library(ggstats)
library(gstat)
library(automap)
library(rnaturalearth)
library(rnaturalearthdata)
## 
## Attaching package: 'rnaturalearthdata'
## The following object is masked from 'package:rnaturalearth':
## 
##     countries110
library(viridis)
## Loading required package: viridisLite
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
# Membaca data
data <- read.csv("C:/Users/abela/Downloads/pH_Banten.csv")

# Baca shapefile Provinsi Banten
shp<-st_read("C:/Users/abela/Downloads/RBI_50K_2023_Banten.x26272/RBI_50K_2023_Banten.shp")
## Reading layer `RBI_50K_2023_Banten' from data source 
##   `C:\Users\abela\Downloads\RBI_50K_2023_Banten.x26272\RBI_50K_2023_Banten.shp' 
##   using driver `ESRI Shapefile'
## Simple feature collection with 8 features and 25 fields
## Geometry type: MULTIPOLYGON
## Dimension:     XY
## Bounding box:  xmin: 105.0999 ymin: -7.016281 xmax: 106.7799 ymax: -5.807588
## Geodetic CRS:  WGS 84
# Melihat struktur data
str(data)
## 'data.frame':    1089 obs. of  3 variables:
##  $ longitude: num  105 105 105 105 105 ...
##  $ latitude : num  -7.46 -7.46 -7.46 -7.46 -7.46 -7.46 -7.46 -7.46 -7.46 -7.46 ...
##  $ ph       : num  5.98 5.18 6.25 6.36 4.63 5.02 5.88 5.61 5.79 5.29 ...
# Melihat beberapa baris awal data
head(data)
##   longitude latitude   ph
## 1  104.8800    -7.46 5.98
## 2  104.9456    -7.46 5.18
## 3  105.0113    -7.46 6.25
## 4  105.0769    -7.46 6.36
## 5  105.1425    -7.46 4.63
## 6  105.2081    -7.46 5.02
# Membuat statistik deskriptif
summary(data)
##    longitude        latitude            ph       
##  Min.   :104.9   Min.   :-7.460   Min.   :4.000  
##  1st Qu.:105.4   1st Qu.:-6.935   1st Qu.:5.390  
##  Median :105.9   Median :-6.410   Median :5.800  
##  Mean   :105.9   Mean   :-6.410   Mean   :5.785  
##  3rd Qu.:106.5   3rd Qu.:-5.885   3rd Qu.:6.150  
##  Max.   :107.0   Max.   :-5.360   Max.   :7.710
# Menghitung statistik tambahan
mean(data$ph)
## [1] 5.78461
sd(data$ph)
## [1] 0.5889471
range(data$ph)
## [1] 4.00 7.71
# 1. Baca data CSV
print(data)
##      longitude  latitude   ph
## 1     104.8800 -7.460000 5.98
## 2     104.9456 -7.460000 5.18
## 3     105.0113 -7.460000 6.25
## 4     105.0769 -7.460000 6.36
## 5     105.1425 -7.460000 4.63
## 6     105.2081 -7.460000 5.02
## 7     105.2738 -7.460000 5.88
## 8     105.3394 -7.460000 5.61
## 9     105.4050 -7.460000 5.79
## 10    105.4706 -7.460000 5.29
## 11    105.5362 -7.460000 6.33
## 12    105.6019 -7.460000 6.27
## 13    105.6675 -7.460000 5.84
## 14    105.7331 -7.460000 6.48
## 15    105.7987 -7.460000 6.08
## 16    105.8644 -7.460000 5.28
## 17    105.9300 -7.460000 6.02
## 18    105.9956 -7.460000 5.22
## 19    106.0613 -7.460000 6.33
## 20    106.1269 -7.460000 5.77
## 21    106.1925 -7.460000 5.69
## 22    106.2581 -7.460000 5.39
## 23    106.3238 -7.460000 6.53
## 24    106.3894 -7.460000 5.71
## 25    106.4550 -7.460000 5.54
## 26    106.5206 -7.460000 5.59
## 27    106.5863 -7.460000 6.12
## 28    106.6519 -7.460000 6.02
## 29    106.7175 -7.460000 6.05
## 30    106.7831 -7.460000 6.06
## 31    106.8487 -7.460000 7.08
## 32    106.9144 -7.460000 5.56
## 33    106.9800 -7.460000 5.49
## 34    104.8800 -7.394375 5.31
## 35    104.9456 -7.394375 6.17
## 36    105.0113 -7.394375 6.48
## 37    105.0769 -7.394375 5.73
## 38    105.1425 -7.394375 5.30
## 39    105.2081 -7.394375 5.31
## 40    105.2738 -7.394375 6.19
## 41    105.3394 -7.394375 6.25
## 42    105.4050 -7.394375 6.13
## 43    105.4706 -7.394375 5.40
## 44    105.5362 -7.394375 5.94
## 45    105.6019 -7.394375 5.87
## 46    105.6675 -7.394375 5.93
## 47    105.7331 -7.394375 6.32
## 48    105.7987 -7.394375 5.93
## 49    105.8644 -7.394375 6.21
## 50    105.9300 -7.394375 5.84
## 51    105.9956 -7.394375 5.97
## 52    106.0613 -7.394375 6.18
## 53    106.1269 -7.394375 4.93
## 54    106.1925 -7.394375 5.61
## 55    106.2581 -7.394375 5.52
## 56    106.3238 -7.394375 5.42
## 57    106.3894 -7.394375 5.63
## 58    106.4550 -7.394375 6.70
## 59    106.5206 -7.394375 5.28
## 60    106.5863 -7.394375 6.38
## 61    106.6519 -7.394375 4.79
## 62    106.7175 -7.394375 5.60
## 63    106.7831 -7.394375 5.90
## 64    106.8487 -7.394375 6.15
## 65    106.9144 -7.394375 6.23
## 66    106.9800 -7.394375 6.28
## 67    104.8800 -7.328750 5.59
## 68    104.9456 -7.328750 5.52
## 69    105.0113 -7.328750 6.31
## 70    105.0769 -7.328750 5.69
## 71    105.1425 -7.328750 5.03
## 72    105.2081 -7.328750 5.12
## 73    105.2738 -7.328750 5.25
## 74    105.3394 -7.328750 6.10
## 75    105.4050 -7.328750 5.89
## 76    105.4706 -7.328750 6.21
## 77    105.5362 -7.328750 5.54
## 78    105.6019 -7.328750 5.90
## 79    105.6675 -7.328750 6.18
## 80    105.7331 -7.328750 5.61
## 81    105.7987 -7.328750 6.07
## 82    105.8644 -7.328750 5.40
## 83    105.9300 -7.328750 5.58
## 84    105.9956 -7.328750 5.57
## 85    106.0613 -7.328750 5.08
## 86    106.1269 -7.328750 6.09
## 87    106.1925 -7.328750 5.52
## 88    106.2581 -7.328750 5.81
## 89    106.3238 -7.328750 6.09
## 90    106.3894 -7.328750 6.07
## 91    106.4550 -7.328750 6.20
## 92    106.5206 -7.328750 5.74
## 93    106.5863 -7.328750 5.55
## 94    106.6519 -7.328750 5.75
## 95    106.7175 -7.328750 4.79
## 96    106.7831 -7.328750 4.93
## 97    106.8487 -7.328750 5.01
## 98    106.9144 -7.328750 5.20
## 99    106.9800 -7.328750 6.04
## 100   104.8800 -7.263125 5.26
## 101   104.9456 -7.263125 5.57
## 102   105.0113 -7.263125 6.58
## 103   105.0769 -7.263125 5.59
## 104   105.1425 -7.263125 6.24
## 105   105.2081 -7.263125 5.24
## 106   105.2738 -7.263125 5.68
## 107   105.3394 -7.263125 5.23
## 108   105.4050 -7.263125 5.60
## 109   105.4706 -7.263125 6.30
## 110   105.5362 -7.263125 4.76
## 111   105.6019 -7.263125 6.06
## 112   105.6675 -7.263125 5.94
## 113   105.7331 -7.263125 5.44
## 114   105.7987 -7.263125 4.93
## 115   105.8644 -7.263125 5.84
## 116   105.9300 -7.263125 5.48
## 117   105.9956 -7.263125 5.94
## 118   106.0613 -7.263125 5.81
## 119   106.1269 -7.263125 6.76
## 120   106.1925 -7.263125 5.66
## 121   106.2581 -7.263125 5.19
## 122   106.3238 -7.263125 5.91
## 123   106.3894 -7.263125 5.93
## 124   106.4550 -7.263125 6.62
## 125   106.5206 -7.263125 6.30
## 126   106.5863 -7.263125 6.01
## 127   106.6519 -7.263125 6.68
## 128   106.7175 -7.263125 5.09
## 129   106.7831 -7.263125 5.42
## 130   106.8487 -7.263125 5.24
## 131   106.9144 -7.263125 5.57
## 132   106.9800 -7.263125 4.97
## 133   104.8800 -7.197500 6.18
## 134   104.9456 -7.197500 5.67
## 135   105.0113 -7.197500 4.92
## 136   105.0769 -7.197500 5.19
## 137   105.1425 -7.197500 5.99
## 138   105.2081 -7.197500 6.30
## 139   105.2738 -7.197500 7.00
## 140   105.3394 -7.197500 7.55
## 141   105.4050 -7.197500 6.05
## 142   105.4706 -7.197500 5.21
## 143   105.5362 -7.197500 4.52
## 144   105.6019 -7.197500 5.96
## 145   105.6675 -7.197500 5.31
## 146   105.7331 -7.197500 5.55
## 147   105.7987 -7.197500 5.43
## 148   105.8644 -7.197500 5.72
## 149   105.9300 -7.197500 6.44
## 150   105.9956 -7.197500 5.89
## 151   106.0613 -7.197500 5.70
## 152   106.1269 -7.197500 5.18
## 153   106.1925 -7.197500 4.80
## 154   106.2581 -7.197500 5.51
## 155   106.3238 -7.197500 5.77
## 156   106.3894 -7.197500 6.86
## 157   106.4550 -7.197500 5.88
## 158   106.5206 -7.197500 6.39
## 159   106.5863 -7.197500 5.50
## 160   106.6519 -7.197500 5.09
## 161   106.7175 -7.197500 5.22
## 162   106.7831 -7.197500 5.36
## 163   106.8487 -7.197500 7.08
## 164   106.9144 -7.197500 5.31
## 165   106.9800 -7.197500 6.30
## 166   104.8800 -7.131875 5.26
## 167   104.9456 -7.131875 6.36
## 168   105.0113 -7.131875 6.03
## 169   105.0769 -7.131875 5.71
## 170   105.1425 -7.131875 5.78
## 171   105.2081 -7.131875 5.41
## 172   105.2738 -7.131875 6.07
## 173   105.3394 -7.131875 5.53
## 174   105.4050 -7.131875 5.06
## 175   105.4706 -7.131875 5.03
## 176   105.5362 -7.131875 5.90
## 177   105.6019 -7.131875 6.75
## 178   105.6675 -7.131875 5.90
## 179   105.7331 -7.131875 5.73
## 180   105.7987 -7.131875 5.97
## 181   105.8644 -7.131875 6.58
## 182   105.9300 -7.131875 5.93
## 183   105.9956 -7.131875 5.55
## 184   106.0613 -7.131875 6.46
## 185   106.1269 -7.131875 6.06
## 186   106.1925 -7.131875 6.72
## 187   106.2581 -7.131875 5.91
## 188   106.3238 -7.131875 5.07
## 189   106.3894 -7.131875 4.98
## 190   106.4550 -7.131875 6.79
## 191   106.5206 -7.131875 6.83
## 192   106.5863 -7.131875 5.69
## 193   106.6519 -7.131875 5.57
## 194   106.7175 -7.131875 6.68
## 195   106.7831 -7.131875 5.14
## 196   106.8487 -7.131875 5.26
## 197   106.9144 -7.131875 6.19
## 198   106.9800 -7.131875 5.56
## 199   104.8800 -7.066250 5.80
## 200   104.9456 -7.066250 5.70
## 201   105.0113 -7.066250 6.00
## 202   105.0769 -7.066250 6.64
## 203   105.1425 -7.066250 5.85
## 204   105.2081 -7.066250 6.19
## 205   105.2738 -7.066250 4.57
## 206   105.3394 -7.066250 5.77
## 207   105.4050 -7.066250 5.29
## 208   105.4706 -7.066250 5.07
## 209   105.5362 -7.066250 5.27
## 210   105.6019 -7.066250 5.60
## 211   105.6675 -7.066250 6.35
## 212   105.7331 -7.066250 5.00
## 213   105.7987 -7.066250 5.82
## 214   105.8644 -7.066250 5.51
## 215   105.9300 -7.066250 5.60
## 216   105.9956 -7.066250 6.40
## 217   106.0613 -7.066250 6.12
## 218   106.1269 -7.066250 6.60
## 219   106.1925 -7.066250 5.71
## 220   106.2581 -7.066250 5.38
## 221   106.3238 -7.066250 5.67
## 222   106.3894 -7.066250 5.95
## 223   106.4550 -7.066250 5.91
## 224   106.5206 -7.066250 5.15
## 225   106.5863 -7.066250 5.85
## 226   106.6519 -7.066250 5.94
## 227   106.7175 -7.066250 7.31
## 228   106.7831 -7.066250 6.93
## 229   106.8487 -7.066250 5.29
## 230   106.9144 -7.066250 5.63
## 231   106.9800 -7.066250 4.92
## 232   104.8800 -7.000625 5.45
## 233   104.9456 -7.000625 5.99
## 234   105.0113 -7.000625 6.52
## 235   105.0769 -7.000625 5.36
## 236   105.1425 -7.000625 5.41
## 237   105.2081 -7.000625 4.51
## 238   105.2738 -7.000625 5.70
## 239   105.3394 -7.000625 5.16
## 240   105.4050 -7.000625 5.48
## 241   105.4706 -7.000625 5.27
## 242   105.5362 -7.000625 5.74
## 243   105.6019 -7.000625 4.75
## 244   105.6675 -7.000625 4.92
## 245   105.7331 -7.000625 7.08
## 246   105.7987 -7.000625 5.03
## 247   105.8644 -7.000625 5.14
## 248   105.9300 -7.000625 6.90
## 249   105.9956 -7.000625 7.54
## 250   106.0613 -7.000625 5.10
## 251   106.1269 -7.000625 5.58
## 252   106.1925 -7.000625 6.00
## 253   106.2581 -7.000625 6.84
## 254   106.3238 -7.000625 5.21
## 255   106.3894 -7.000625 5.65
## 256   106.4550 -7.000625 6.27
## 257   106.5206 -7.000625 6.06
## 258   106.5863 -7.000625 5.57
## 259   106.6519 -7.000625 5.72
## 260   106.7175 -7.000625 4.98
## 261   106.7831 -7.000625 5.66
## 262   106.8487 -7.000625 5.64
## 263   106.9144 -7.000625 5.94
## 264   106.9800 -7.000625 5.47
## 265   104.8800 -6.935000 6.08
## 266   104.9456 -6.935000 6.41
## 267   105.0113 -6.935000 5.89
## 268   105.0769 -6.935000 6.01
## 269   105.1425 -6.935000 5.83
## 270   105.2081 -6.935000 5.80
## 271   105.2738 -6.935000 5.37
## 272   105.3394 -6.935000 5.99
## 273   105.4050 -6.935000 5.74
## 274   105.4706 -6.935000 7.06
## 275   105.5362 -6.935000 6.74
## 276   105.6019 -6.935000 6.03
## 277   105.6675 -6.935000 5.34
## 278   105.7331 -6.935000 5.13
## 279   105.7987 -6.935000 6.51
## 280   105.8644 -6.935000 5.96
## 281   105.9300 -6.935000 6.09
## 282   105.9956 -6.935000 4.75
## 283   106.0613 -6.935000 6.36
## 284   106.1269 -6.935000 6.07
## 285   106.1925 -6.935000 5.13
## 286   106.2581 -6.935000 5.52
## 287   106.3238 -6.935000 5.96
## 288   106.3894 -6.935000 5.83
## 289   106.4550 -6.935000 5.62
## 290   106.5206 -6.935000 5.74
## 291   106.5863 -6.935000 5.65
## 292   106.6519 -6.935000 5.89
## 293   106.7175 -6.935000 6.68
## 294   106.7831 -6.935000 4.26
## 295   106.8487 -6.935000 5.66
## 296   106.9144 -6.935000 5.91
## 297   106.9800 -6.935000 5.98
## 298   104.8800 -6.869375 5.58
## 299   104.9456 -6.869375 4.75
## 300   105.0113 -6.869375 6.00
## 301   105.0769 -6.869375 6.84
## 302   105.1425 -6.869375 4.88
## 303   105.2081 -6.869375 6.32
## 304   105.2738 -6.869375 5.60
## 305   105.3394 -6.869375 5.76
## 306   105.4050 -6.869375 5.17
## 307   105.4706 -6.869375 5.60
## 308   105.5362 -6.869375 6.58
## 309   105.6019 -6.869375 6.15
## 310   105.6675 -6.869375 6.84
## 311   105.7331 -6.869375 6.51
## 312   105.7987 -6.869375 6.06
## 313   105.8644 -6.869375 6.85
## 314   105.9300 -6.869375 6.06
## 315   105.9956 -6.869375 6.30
## 316   106.0613 -6.869375 5.62
## 317   106.1269 -6.869375 5.84
## 318   106.1925 -6.869375 5.38
## 319   106.2581 -6.869375 6.39
## 320   106.3238 -6.869375 5.09
## 321   106.3894 -6.869375 6.27
## 322   106.4550 -6.869375 5.69
## 323   106.5206 -6.869375 6.50
## 324   106.5863 -6.869375 6.25
## 325   106.6519 -6.869375 6.89
## 326   106.7175 -6.869375 6.24
## 327   106.7831 -6.869375 4.86
## 328   106.8487 -6.869375 5.76
## 329   106.9144 -6.869375 5.10
## 330   106.9800 -6.869375 5.49
## 331   104.8800 -6.803750 6.71
## 332   104.9456 -6.803750 6.18
## 333   105.0113 -6.803750 5.38
## 334   105.0769 -6.803750 5.19
## 335   105.1425 -6.803750 5.82
## 336   105.2081 -6.803750 5.07
## 337   105.2738 -6.803750 5.40
## 338   105.3394 -6.803750 5.99
## 339   105.4050 -6.803750 6.49
## 340   105.4706 -6.803750 6.17
## 341   105.5362 -6.803750 4.43
## 342   105.6019 -6.803750 5.98
## 343   105.6675 -6.803750 5.84
## 344   105.7331 -6.803750 6.05
## 345   105.7987 -6.803750 6.77
## 346   105.8644 -6.803750 4.56
## 347   105.9300 -6.803750 5.45
## 348   105.9956 -6.803750 6.15
## 349   106.0613 -6.803750 4.85
## 350   106.1269 -6.803750 6.69
## 351   106.1925 -6.803750 6.02
## 352   106.2581 -6.803750 6.31
## 353   106.3238 -6.803750 5.46
## 354   106.3894 -6.803750 6.29
## 355   106.4550 -6.803750 6.44
## 356   106.5206 -6.803750 5.94
## 357   106.5863 -6.803750 5.94
## 358   106.6519 -6.803750 5.96
## 359   106.7175 -6.803750 5.28
## 360   106.7831 -6.803750 5.71
## 361   106.8487 -6.803750 5.71
## 362   106.9144 -6.803750 6.03
## 363   106.9800 -6.803750 6.40
## 364   104.8800 -6.738125 5.16
## 365   104.9456 -6.738125 5.72
## 366   105.0113 -6.738125 6.69
## 367   105.0769 -6.738125 5.35
## 368   105.1425 -6.738125 5.31
## 369   105.2081 -6.738125 5.92
## 370   105.2738 -6.738125 6.31
## 371   105.3394 -6.738125 5.81
## 372   105.4050 -6.738125 6.60
## 373   105.4706 -6.738125 6.31
## 374   105.5362 -6.738125 6.31
## 375   105.6019 -6.738125 6.13
## 376   105.6675 -6.738125 7.20
## 377   105.7331 -6.738125 5.68
## 378   105.7987 -6.738125 4.60
## 379   105.8644 -6.738125 6.76
## 380   105.9300 -6.738125 5.53
## 381   105.9956 -6.738125 5.86
## 382   106.0613 -6.738125 6.59
## 383   106.1269 -6.738125 4.84
## 384   106.1925 -6.738125 5.05
## 385   106.2581 -6.738125 4.84
## 386   106.3238 -6.738125 5.32
## 387   106.3894 -6.738125 6.06
## 388   106.4550 -6.738125 6.11
## 389   106.5206 -6.738125 5.97
## 390   106.5863 -6.738125 4.95
## 391   106.6519 -6.738125 4.41
## 392   106.7175 -6.738125 5.83
## 393   106.7831 -6.738125 5.52
## 394   106.8487 -6.738125 6.08
## 395   106.9144 -6.738125 6.22
## 396   106.9800 -6.738125 5.88
## 397   104.8800 -6.672500 6.26
## 398   104.9456 -6.672500 5.94
## 399   105.0113 -6.672500 6.12
## 400   105.0769 -6.672500 5.38
## 401   105.1425 -6.672500 5.69
## 402   105.2081 -6.672500 5.92
## 403   105.2738 -6.672500 6.29
## 404   105.3394 -6.672500 5.56
## 405   105.4050 -6.672500 6.11
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## 858   106.9800 -5.819375 6.05
## 859   104.8800 -5.753750 4.64
## 860   104.9456 -5.753750 6.20
## 861   105.0113 -5.753750 5.21
## 862   105.0769 -5.753750 4.93
## 863   105.1425 -5.753750 5.76
## 864   105.2081 -5.753750 5.85
## 865   105.2738 -5.753750 5.38
## 866   105.3394 -5.753750 6.30
## 867   105.4050 -5.753750 4.99
## 868   105.4706 -5.753750 5.56
## 869   105.5362 -5.753750 5.45
## 870   105.6019 -5.753750 5.77
## 871   105.6675 -5.753750 5.97
## 872   105.7331 -5.753750 5.20
## 873   105.7987 -5.753750 6.23
## 874   105.8644 -5.753750 5.84
## 875   105.9300 -5.753750 4.66
## 876   105.9956 -5.753750 4.62
## 877   106.0613 -5.753750 5.79
## 878   106.1269 -5.753750 5.67
## 879   106.1925 -5.753750 5.74
## 880   106.2581 -5.753750 5.78
## 881   106.3238 -5.753750 5.94
## 882   106.3894 -5.753750 6.37
## 883   106.4550 -5.753750 5.13
## 884   106.5206 -5.753750 5.10
## 885   106.5863 -5.753750 5.14
## 886   106.6519 -5.753750 5.97
## 887   106.7175 -5.753750 6.55
## 888   106.7831 -5.753750 5.54
## 889   106.8487 -5.753750 4.30
## 890   106.9144 -5.753750 4.78
## 891   106.9800 -5.753750 5.30
## 892   104.8800 -5.688125 5.47
## 893   104.9456 -5.688125 5.55
## 894   105.0113 -5.688125 5.82
## 895   105.0769 -5.688125 5.61
## 896   105.1425 -5.688125 6.43
## 897   105.2081 -5.688125 5.39
## 898   105.2738 -5.688125 5.28
## 899   105.3394 -5.688125 6.09
## 900   105.4050 -5.688125 4.88
## 901   105.4706 -5.688125 6.03
## 902   105.5362 -5.688125 5.86
## 903   105.6019 -5.688125 5.71
## 904   105.6675 -5.688125 6.75
## 905   105.7331 -5.688125 5.43
## 906   105.7987 -5.688125 7.04
## 907   105.8644 -5.688125 5.66
## 908   105.9300 -5.688125 5.03
## 909   105.9956 -5.688125 5.84
## 910   106.0613 -5.688125 5.15
## 911   106.1269 -5.688125 5.35
## 912   106.1925 -5.688125 6.04
## 913   106.2581 -5.688125 6.13
## 914   106.3238 -5.688125 5.43
## 915   106.3894 -5.688125 6.39
## 916   106.4550 -5.688125 6.49
## 917   106.5206 -5.688125 6.66
## 918   106.5863 -5.688125 6.12
## 919   106.6519 -5.688125 6.62
## 920   106.7175 -5.688125 4.67
## 921   106.7831 -5.688125 5.61
## 922   106.8487 -5.688125 5.28
## 923   106.9144 -5.688125 5.87
## 924   106.9800 -5.688125 5.46
## 925   104.8800 -5.622500 5.70
## 926   104.9456 -5.622500 6.93
## 927   105.0113 -5.622500 5.70
## 928   105.0769 -5.622500 6.05
## 929   105.1425 -5.622500 5.66
## 930   105.2081 -5.622500 5.85
## 931   105.2738 -5.622500 5.80
## 932   105.3394 -5.622500 6.07
## 933   105.4050 -5.622500 6.50
## 934   105.4706 -5.622500 6.79
## 935   105.5362 -5.622500 5.99
## 936   105.6019 -5.622500 6.15
## 937   105.6675 -5.622500 5.11
## 938   105.7331 -5.622500 5.75
## 939   105.7987 -5.622500 6.36
## 940   105.8644 -5.622500 6.32
## 941   105.9300 -5.622500 5.93
## 942   105.9956 -5.622500 6.33
## 943   106.0613 -5.622500 6.09
## 944   106.1269 -5.622500 6.52
## 945   106.1925 -5.622500 5.97
## 946   106.2581 -5.622500 5.59
## 947   106.3238 -5.622500 6.00
## 948   106.3894 -5.622500 4.04
## 949   106.4550 -5.622500 6.03
## 950   106.5206 -5.622500 4.00
## 951   106.5863 -5.622500 4.77
## 952   106.6519 -5.622500 6.07
## 953   106.7175 -5.622500 6.09
## 954   106.7831 -5.622500 5.10
## 955   106.8487 -5.622500 5.37
## 956   106.9144 -5.622500 6.62
## 957   106.9800 -5.622500 5.51
## 958   104.8800 -5.556875 7.15
## 959   104.9456 -5.556875 5.80
## 960   105.0113 -5.556875 6.04
## 961   105.0769 -5.556875 6.77
## 962   105.1425 -5.556875 5.88
## 963   105.2081 -5.556875 5.20
## 964   105.2738 -5.556875 5.73
## 965   105.3394 -5.556875 5.78
## 966   105.4050 -5.556875 4.98
## 967   105.4706 -5.556875 5.65
## 968   105.5362 -5.556875 5.35
## 969   105.6019 -5.556875 6.35
## 970   105.6675 -5.556875 5.82
## 971   105.7331 -5.556875 5.63
## 972   105.7987 -5.556875 5.74
## 973   105.8644 -5.556875 5.93
## 974   105.9300 -5.556875 6.17
## 975   105.9956 -5.556875 5.20
## 976   106.0613 -5.556875 5.18
## 977   106.1269 -5.556875 6.46
## 978   106.1925 -5.556875 5.55
## 979   106.2581 -5.556875 4.95
## 980   106.3238 -5.556875 6.07
## 981   106.3894 -5.556875 6.08
## 982   106.4550 -5.556875 4.88
## 983   106.5206 -5.556875 5.94
## 984   106.5863 -5.556875 6.24
## 985   106.6519 -5.556875 6.02
## 986   106.7175 -5.556875 6.18
## 987   106.7831 -5.556875 4.96
## 988   106.8487 -5.556875 6.00
## 989   106.9144 -5.556875 5.62
## 990   106.9800 -5.556875 5.51
## 991   104.8800 -5.491250 6.32
## 992   104.9456 -5.491250 6.69
## 993   105.0113 -5.491250 6.88
## 994   105.0769 -5.491250 6.59
## 995   105.1425 -5.491250 5.73
## 996   105.2081 -5.491250 6.01
## 997   105.2738 -5.491250 6.26
## 998   105.3394 -5.491250 5.87
## 999   105.4050 -5.491250 5.88
## 1000  105.4706 -5.491250 6.29
## 1001  105.5362 -5.491250 5.76
## 1002  105.6019 -5.491250 5.36
## 1003  105.6675 -5.491250 5.55
## 1004  105.7331 -5.491250 6.18
## 1005  105.7987 -5.491250 5.80
## 1006  105.8644 -5.491250 6.00
## 1007  105.9300 -5.491250 6.20
## 1008  105.9956 -5.491250 5.58
## 1009  106.0613 -5.491250 6.25
## 1010  106.1269 -5.491250 6.03
## 1011  106.1925 -5.491250 5.06
## 1012  106.2581 -5.491250 6.67
## 1013  106.3238 -5.491250 5.50
## 1014  106.3894 -5.491250 4.81
## 1015  106.4550 -5.491250 5.17
## 1016  106.5206 -5.491250 5.19
## 1017  106.5863 -5.491250 5.83
## 1018  106.6519 -5.491250 5.64
## 1019  106.7175 -5.491250 5.60
## 1020  106.7831 -5.491250 6.17
## 1021  106.8487 -5.491250 6.00
## 1022  106.9144 -5.491250 5.99
## 1023  106.9800 -5.491250 6.05
## 1024  104.8800 -5.425625 6.17
## 1025  104.9456 -5.425625 4.54
## 1026  105.0113 -5.425625 5.58
## 1027  105.0769 -5.425625 4.49
## 1028  105.1425 -5.425625 5.82
## 1029  105.2081 -5.425625 5.80
## 1030  105.2738 -5.425625 6.43
## 1031  105.3394 -5.425625 6.51
## 1032  105.4050 -5.425625 5.92
## 1033  105.4706 -5.425625 5.50
## 1034  105.5362 -5.425625 6.09
## 1035  105.6019 -5.425625 5.48
## 1036  105.6675 -5.425625 5.80
## 1037  105.7331 -5.425625 6.39
## 1038  105.7987 -5.425625 5.47
## 1039  105.8644 -5.425625 6.28
## 1040  105.9300 -5.425625 6.21
## 1041  105.9956 -5.425625 5.23
## 1042  106.0613 -5.425625 6.38
## 1043  106.1269 -5.425625 6.22
## 1044  106.1925 -5.425625 5.86
## 1045  106.2581 -5.425625 5.34
## 1046  106.3238 -5.425625 5.28
## 1047  106.3894 -5.425625 5.48
## 1048  106.4550 -5.425625 6.13
## 1049  106.5206 -5.425625 5.23
## 1050  106.5863 -5.425625 6.06
## 1051  106.6519 -5.425625 5.05
## 1052  106.7175 -5.425625 5.68
## 1053  106.7831 -5.425625 5.87
## 1054  106.8487 -5.425625 7.27
## 1055  106.9144 -5.425625 4.97
## 1056  106.9800 -5.425625 6.68
## 1057  104.8800 -5.360000 5.89
## 1058  104.9456 -5.360000 6.05
## 1059  105.0113 -5.360000 5.87
## 1060  105.0769 -5.360000 6.07
## 1061  105.1425 -5.360000 5.71
## 1062  105.2081 -5.360000 6.67
## 1063  105.2738 -5.360000 5.53
## 1064  105.3394 -5.360000 6.48
## 1065  105.4050 -5.360000 5.41
## 1066  105.4706 -5.360000 5.76
## 1067  105.5362 -5.360000 5.16
## 1068  105.6019 -5.360000 6.07
## 1069  105.6675 -5.360000 6.67
## 1070  105.7331 -5.360000 5.75
## 1071  105.7987 -5.360000 5.68
## 1072  105.8644 -5.360000 5.13
## 1073  105.9300 -5.360000 5.66
## 1074  105.9956 -5.360000 4.84
## 1075  106.0613 -5.360000 5.25
## 1076  106.1269 -5.360000 5.94
## 1077  106.1925 -5.360000 6.59
## 1078  106.2581 -5.360000 7.49
## 1079  106.3238 -5.360000 5.45
## 1080  106.3894 -5.360000 6.66
## 1081  106.4550 -5.360000 5.95
## 1082  106.5206 -5.360000 5.71
## 1083  106.5863 -5.360000 6.06
## 1084  106.6519 -5.360000 5.84
## 1085  106.7175 -5.360000 5.87
## 1086  106.7831 -5.360000 5.56
## 1087  106.8487 -5.360000 4.96
## 1088  106.9144 -5.360000 4.87
## 1089  106.9800 -5.360000 6.19
 nrow(data)
## [1] 1089
# 2. Ubah menjadi data spasial berdasarkan koordinat
data_sf <- st_as_sf(data, coords = c("longitude", "latitude"), crs = 4326)
sum(is.na(data))
## [1] 0
# 3. Visualisasi peta spasial
tmap_mode("view")  # mode interaktif (bisa di-zoom)
## ℹ tmap modes "plot" - "view"
## ℹ toggle with `tmap::ttm()`
tm_shape(data_sf) +
  tm_dots(
    col = "ph",
    palette = "RdYlBu",
    size = 0.6,
    title = "Nilai pH"
  ) +
  tm_layout(
    title = "Peta Sebaran Nilai pH di Provinsi Banten",
    legend.outside = TRUE
  )
## 
## ── tmap v3 code detected ───────────────────────────────────────────────────────
## [v3->v4] `tm_tm_dots()`: migrate the argument(s) related to the scale of the
## visual variable `fill` namely 'palette' (rename to 'values') to fill.scale =
## tm_scale(<HERE>).[v3->v4] `tm_dots()`: use 'fill' for the fill color of polygons/symbols
## (instead of 'col'), and 'col' for the outlines (instead of 'border.col').[tm_dots()] Argument `title` unknown.[v3->v4] `tm_layout()`: use `tm_title()` instead of `tm_layout(title = )`[cols4all] color palettes: use palettes from the R package cols4all. Run
## `cols4all::c4a_gui()` to explore them. The old palette name "RdYlBu" is named
## "brewer.rd_yl_bu"Multiple palettes called "rd_yl_bu" found: "brewer.rd_yl_bu", "matplotlib.rd_yl_bu". The first one, "brewer.rd_yl_bu", is returned.
## Registered S3 method overwritten by 'jsonify':
##   method     from    
##   print.json jsonlite
# ==========================================================
# INTERPOLASI pH TANAH PROVINSI BANTEN (IDW & KRIGING)
# ==========================================================

# --- 1. Install & load library (auto install kalau belum ada) ---
libs <- c("sf", "sp", "gstat", "raster", "ggplot2", 
          "rnaturalearth", "rnaturalearthdata", "viridis", "dplyr")

installed <- libs %in% installed.packages()
if (any(!installed)) install.packages(libs[!installed])
lapply(libs, library, character.only = TRUE)
## 
## Attaching package: 'raster'
## The following object is masked from 'package:dplyr':
## 
##     select
## [[1]]
##  [1] "dplyr"             "viridis"           "viridisLite"      
##  [4] "rnaturalearthdata" "rnaturalearth"     "automap"          
##  [7] "gstat"             "ggstats"           "ggplot2"          
## [10] "sp"                "sf"                "readr"            
## [13] "tmap"              "stats"             "graphics"         
## [16] "grDevices"         "utils"             "datasets"         
## [19] "methods"           "base"             
## 
## [[2]]
##  [1] "dplyr"             "viridis"           "viridisLite"      
##  [4] "rnaturalearthdata" "rnaturalearth"     "automap"          
##  [7] "gstat"             "ggstats"           "ggplot2"          
## [10] "sp"                "sf"                "readr"            
## [13] "tmap"              "stats"             "graphics"         
## [16] "grDevices"         "utils"             "datasets"         
## [19] "methods"           "base"             
## 
## [[3]]
##  [1] "dplyr"             "viridis"           "viridisLite"      
##  [4] "rnaturalearthdata" "rnaturalearth"     "automap"          
##  [7] "gstat"             "ggstats"           "ggplot2"          
## [10] "sp"                "sf"                "readr"            
## [13] "tmap"              "stats"             "graphics"         
## [16] "grDevices"         "utils"             "datasets"         
## [19] "methods"           "base"             
## 
## [[4]]
##  [1] "raster"            "dplyr"             "viridis"          
##  [4] "viridisLite"       "rnaturalearthdata" "rnaturalearth"    
##  [7] "automap"           "gstat"             "ggstats"          
## [10] "ggplot2"           "sp"                "sf"               
## [13] "readr"             "tmap"              "stats"            
## [16] "graphics"          "grDevices"         "utils"            
## [19] "datasets"          "methods"           "base"             
## 
## [[5]]
##  [1] "raster"            "dplyr"             "viridis"          
##  [4] "viridisLite"       "rnaturalearthdata" "rnaturalearth"    
##  [7] "automap"           "gstat"             "ggstats"          
## [10] "ggplot2"           "sp"                "sf"               
## [13] "readr"             "tmap"              "stats"            
## [16] "graphics"          "grDevices"         "utils"            
## [19] "datasets"          "methods"           "base"             
## 
## [[6]]
##  [1] "raster"            "dplyr"             "viridis"          
##  [4] "viridisLite"       "rnaturalearthdata" "rnaturalearth"    
##  [7] "automap"           "gstat"             "ggstats"          
## [10] "ggplot2"           "sp"                "sf"               
## [13] "readr"             "tmap"              "stats"            
## [16] "graphics"          "grDevices"         "utils"            
## [19] "datasets"          "methods"           "base"             
## 
## [[7]]
##  [1] "raster"            "dplyr"             "viridis"          
##  [4] "viridisLite"       "rnaturalearthdata" "rnaturalearth"    
##  [7] "automap"           "gstat"             "ggstats"          
## [10] "ggplot2"           "sp"                "sf"               
## [13] "readr"             "tmap"              "stats"            
## [16] "graphics"          "grDevices"         "utils"            
## [19] "datasets"          "methods"           "base"             
## 
## [[8]]
##  [1] "raster"            "dplyr"             "viridis"          
##  [4] "viridisLite"       "rnaturalearthdata" "rnaturalearth"    
##  [7] "automap"           "gstat"             "ggstats"          
## [10] "ggplot2"           "sp"                "sf"               
## [13] "readr"             "tmap"              "stats"            
## [16] "graphics"          "grDevices"         "utils"            
## [19] "datasets"          "methods"           "base"             
## 
## [[9]]
##  [1] "raster"            "dplyr"             "viridis"          
##  [4] "viridisLite"       "rnaturalearthdata" "rnaturalearth"    
##  [7] "automap"           "gstat"             "ggstats"          
## [10] "ggplot2"           "sp"                "sf"               
## [13] "readr"             "tmap"              "stats"            
## [16] "graphics"          "grDevices"         "utils"            
## [19] "datasets"          "methods"           "base"
# --- 2. Baca data CSV ---
print(data)
##      longitude  latitude   ph
## 1     104.8800 -7.460000 5.98
## 2     104.9456 -7.460000 5.18
## 3     105.0113 -7.460000 6.25
## 4     105.0769 -7.460000 6.36
## 5     105.1425 -7.460000 4.63
## 6     105.2081 -7.460000 5.02
## 7     105.2738 -7.460000 5.88
## 8     105.3394 -7.460000 5.61
## 9     105.4050 -7.460000 5.79
## 10    105.4706 -7.460000 5.29
## 11    105.5362 -7.460000 6.33
## 12    105.6019 -7.460000 6.27
## 13    105.6675 -7.460000 5.84
## 14    105.7331 -7.460000 6.48
## 15    105.7987 -7.460000 6.08
## 16    105.8644 -7.460000 5.28
## 17    105.9300 -7.460000 6.02
## 18    105.9956 -7.460000 5.22
## 19    106.0613 -7.460000 6.33
## 20    106.1269 -7.460000 5.77
## 21    106.1925 -7.460000 5.69
## 22    106.2581 -7.460000 5.39
## 23    106.3238 -7.460000 6.53
## 24    106.3894 -7.460000 5.71
## 25    106.4550 -7.460000 5.54
## 26    106.5206 -7.460000 5.59
## 27    106.5863 -7.460000 6.12
## 28    106.6519 -7.460000 6.02
## 29    106.7175 -7.460000 6.05
## 30    106.7831 -7.460000 6.06
## 31    106.8487 -7.460000 7.08
## 32    106.9144 -7.460000 5.56
## 33    106.9800 -7.460000 5.49
## 34    104.8800 -7.394375 5.31
## 35    104.9456 -7.394375 6.17
## 36    105.0113 -7.394375 6.48
## 37    105.0769 -7.394375 5.73
## 38    105.1425 -7.394375 5.30
## 39    105.2081 -7.394375 5.31
## 40    105.2738 -7.394375 6.19
## 41    105.3394 -7.394375 6.25
## 42    105.4050 -7.394375 6.13
## 43    105.4706 -7.394375 5.40
## 44    105.5362 -7.394375 5.94
## 45    105.6019 -7.394375 5.87
## 46    105.6675 -7.394375 5.93
## 47    105.7331 -7.394375 6.32
## 48    105.7987 -7.394375 5.93
## 49    105.8644 -7.394375 6.21
## 50    105.9300 -7.394375 5.84
## 51    105.9956 -7.394375 5.97
## 52    106.0613 -7.394375 6.18
## 53    106.1269 -7.394375 4.93
## 54    106.1925 -7.394375 5.61
## 55    106.2581 -7.394375 5.52
## 56    106.3238 -7.394375 5.42
## 57    106.3894 -7.394375 5.63
## 58    106.4550 -7.394375 6.70
## 59    106.5206 -7.394375 5.28
## 60    106.5863 -7.394375 6.38
## 61    106.6519 -7.394375 4.79
## 62    106.7175 -7.394375 5.60
## 63    106.7831 -7.394375 5.90
## 64    106.8487 -7.394375 6.15
## 65    106.9144 -7.394375 6.23
## 66    106.9800 -7.394375 6.28
## 67    104.8800 -7.328750 5.59
## 68    104.9456 -7.328750 5.52
## 69    105.0113 -7.328750 6.31
## 70    105.0769 -7.328750 5.69
## 71    105.1425 -7.328750 5.03
## 72    105.2081 -7.328750 5.12
## 73    105.2738 -7.328750 5.25
## 74    105.3394 -7.328750 6.10
## 75    105.4050 -7.328750 5.89
## 76    105.4706 -7.328750 6.21
## 77    105.5362 -7.328750 5.54
## 78    105.6019 -7.328750 5.90
## 79    105.6675 -7.328750 6.18
## 80    105.7331 -7.328750 5.61
## 81    105.7987 -7.328750 6.07
## 82    105.8644 -7.328750 5.40
## 83    105.9300 -7.328750 5.58
## 84    105.9956 -7.328750 5.57
## 85    106.0613 -7.328750 5.08
## 86    106.1269 -7.328750 6.09
## 87    106.1925 -7.328750 5.52
## 88    106.2581 -7.328750 5.81
## 89    106.3238 -7.328750 6.09
## 90    106.3894 -7.328750 6.07
## 91    106.4550 -7.328750 6.20
## 92    106.5206 -7.328750 5.74
## 93    106.5863 -7.328750 5.55
## 94    106.6519 -7.328750 5.75
## 95    106.7175 -7.328750 4.79
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## 1001  105.5362 -5.491250 5.76
## 1002  105.6019 -5.491250 5.36
## 1003  105.6675 -5.491250 5.55
## 1004  105.7331 -5.491250 6.18
## 1005  105.7987 -5.491250 5.80
## 1006  105.8644 -5.491250 6.00
## 1007  105.9300 -5.491250 6.20
## 1008  105.9956 -5.491250 5.58
## 1009  106.0613 -5.491250 6.25
## 1010  106.1269 -5.491250 6.03
## 1011  106.1925 -5.491250 5.06
## 1012  106.2581 -5.491250 6.67
## 1013  106.3238 -5.491250 5.50
## 1014  106.3894 -5.491250 4.81
## 1015  106.4550 -5.491250 5.17
## 1016  106.5206 -5.491250 5.19
## 1017  106.5863 -5.491250 5.83
## 1018  106.6519 -5.491250 5.64
## 1019  106.7175 -5.491250 5.60
## 1020  106.7831 -5.491250 6.17
## 1021  106.8487 -5.491250 6.00
## 1022  106.9144 -5.491250 5.99
## 1023  106.9800 -5.491250 6.05
## 1024  104.8800 -5.425625 6.17
## 1025  104.9456 -5.425625 4.54
## 1026  105.0113 -5.425625 5.58
## 1027  105.0769 -5.425625 4.49
## 1028  105.1425 -5.425625 5.82
## 1029  105.2081 -5.425625 5.80
## 1030  105.2738 -5.425625 6.43
## 1031  105.3394 -5.425625 6.51
## 1032  105.4050 -5.425625 5.92
## 1033  105.4706 -5.425625 5.50
## 1034  105.5362 -5.425625 6.09
## 1035  105.6019 -5.425625 5.48
## 1036  105.6675 -5.425625 5.80
## 1037  105.7331 -5.425625 6.39
## 1038  105.7987 -5.425625 5.47
## 1039  105.8644 -5.425625 6.28
## 1040  105.9300 -5.425625 6.21
## 1041  105.9956 -5.425625 5.23
## 1042  106.0613 -5.425625 6.38
## 1043  106.1269 -5.425625 6.22
## 1044  106.1925 -5.425625 5.86
## 1045  106.2581 -5.425625 5.34
## 1046  106.3238 -5.425625 5.28
## 1047  106.3894 -5.425625 5.48
## 1048  106.4550 -5.425625 6.13
## 1049  106.5206 -5.425625 5.23
## 1050  106.5863 -5.425625 6.06
## 1051  106.6519 -5.425625 5.05
## 1052  106.7175 -5.425625 5.68
## 1053  106.7831 -5.425625 5.87
## 1054  106.8487 -5.425625 7.27
## 1055  106.9144 -5.425625 4.97
## 1056  106.9800 -5.425625 6.68
## 1057  104.8800 -5.360000 5.89
## 1058  104.9456 -5.360000 6.05
## 1059  105.0113 -5.360000 5.87
## 1060  105.0769 -5.360000 6.07
## 1061  105.1425 -5.360000 5.71
## 1062  105.2081 -5.360000 6.67
## 1063  105.2738 -5.360000 5.53
## 1064  105.3394 -5.360000 6.48
## 1065  105.4050 -5.360000 5.41
## 1066  105.4706 -5.360000 5.76
## 1067  105.5362 -5.360000 5.16
## 1068  105.6019 -5.360000 6.07
## 1069  105.6675 -5.360000 6.67
## 1070  105.7331 -5.360000 5.75
## 1071  105.7987 -5.360000 5.68
## 1072  105.8644 -5.360000 5.13
## 1073  105.9300 -5.360000 5.66
## 1074  105.9956 -5.360000 4.84
## 1075  106.0613 -5.360000 5.25
## 1076  106.1269 -5.360000 5.94
## 1077  106.1925 -5.360000 6.59
## 1078  106.2581 -5.360000 7.49
## 1079  106.3238 -5.360000 5.45
## 1080  106.3894 -5.360000 6.66
## 1081  106.4550 -5.360000 5.95
## 1082  106.5206 -5.360000 5.71
## 1083  106.5863 -5.360000 6.06
## 1084  106.6519 -5.360000 5.84
## 1085  106.7175 -5.360000 5.87
## 1086  106.7831 -5.360000 5.56
## 1087  106.8487 -5.360000 4.96
## 1088  106.9144 -5.360000 4.87
## 1089  106.9800 -5.360000 6.19
head(data)
##   longitude latitude   ph
## 1  104.8800    -7.46 5.98
## 2  104.9456    -7.46 5.18
## 3  105.0113    -7.46 6.25
## 4  105.0769    -7.46 6.36
## 5  105.1425    -7.46 4.63
## 6  105.2081    -7.46 5.02
# --- 3. Konversi ke objek spasial ---
ph_sf <- st_as_sf(data, coords = c("longitude", "latitude"), crs = 4326)
ph_utm <- st_transform(ph_sf, crs = 32748)  # UTM zona 48S (Banten)
ph_sp <- as(ph_utm, "Spatial")

# --- 4. Buat grid (tanpa xlim/ylim) ---
grid <- st_make_grid(ph_utm, cellsize = 1000, what = "centers")
grid_sf <- st_sf(geometry = grid)
grid_sp <- as(grid_sf, "Spatial")

# --- 5. Interpolasi IDW ---
idw_model <- gstat::idw(ph ~ 1, locations = ph_sp, newdata = grid_sp)
## [inverse distance weighted interpolation]
idw_df <- as.data.frame(idw_model)
names(idw_df)[1:3] <- c("x", "y", "pH")

# --- 6. Ambil batas Banten (Natural Earth) ---
banten <- ne_states(country = "indonesia", returnclass = "sf") %>%
  filter(name == "Banten")

# --- 7. Plot hasil IDW ---
ggplot() +
  geom_raster(data = idw_df, aes(x = x, y = y, fill = pH)) +
  geom_sf(data = st_transform(banten, 32748), fill = NA, color = "black", size = 0.4) +
  scale_fill_viridis(name = "ph", option = "plasma") +
  coord_sf(crs = st_crs(32748)) +
  labs(title = "Interpolasi pH Tanah - IDW (Banten)",
       x = "Koordinat X (meter)", y = "Koordinat Y (meter)") +
  theme_minimal()

# Variogram
vgm_model <- variogram(ph ~ 1, data = ph_sp)
fit_vgm <- fit.variogram(vgm_model, model = vgm("Sph"))

# Prediksi Kriging
kriging_ok <- krige(ph ~ 1, ph_sp, grid_sp, model = fit_vgm)
## [using ordinary kriging]
# Ubah ke dataframe
kriging_ok_df <- as.data.frame(kriging_ok)
names(kriging_ok_df)[1:3] <- c("x", "y", "pH")

ggplot() +
  geom_raster(data = kriging_ok_df, aes(x = x, y = y, fill = pH)) +
  geom_sf(data = st_transform(banten, 32748), fill = NA, color = "black", size = 0.4) +
  scale_fill_viridis(name = "pH", option = "magma") +
  coord_sf(crs = st_crs(32748)) +
  labs(title = "Interpolasi pH Tanah - Ordinary Kriging (Banten)",
       x = "Koordinat X (meter)", y = "Koordinat Y (meter)") +
  theme_minimal()

library(sp)
library(gstat)
library(ggplot2)
library(viridis)
library(sf)

# --- 1. Pastikan ph_sp adalah SpatialPointsDataFrame ---
class(ph_sp)   # harus "SpatialPointsDataFrame"
## [1] "SpatialPointsDataFrame"
## attr(,"package")
## [1] "sp"
# kalau masih sf:
# ph_sp <- as(ph_sf, "Spatial")

# --- 2. Tambahkan kolom koordinat X dan Y ke dalam data ---
ph_sp@data$x <- coordinates(ph_sp)[,1]
ph_sp@data$y <- coordinates(ph_sp)[,2]

# pastikan jumlahnya sama:
nrow(ph_sp@data) == nrow(coordinates(ph_sp))  # harus TRUE
## [1] TRUE
# --- 3. Pastikan grid_sp juga punya kolom x dan y ---
grid_sp@data$x <- coordinates(grid_sp)[,1]
grid_sp@data$y <- coordinates(grid_sp)[,2]

# --- 4. Buat variogram dengan tren spasial ---
vgm_model_uk <- variogram(ph ~ x + y, data = ph_sp)

# --- 5. Fit model variogram ---
fit_vgm_uk <- fit.variogram(vgm_model_uk, model = vgm("Sph"))

# --- 6. Jalankan Universal Kriging ---
kriging_uk <- krige(formula = ph ~ x + y,
                    locations = ph_sp,
                    newdata = grid_sp,
                    model = fit_vgm_uk)
## [using universal kriging]
# --- 7. Ubah hasil ke dataframe dan rename kolom ---
kriging_uk_df <- as.data.frame(kriging_uk)
names(kriging_uk_df)[1:3] <- c("x", "y", "pH")

# --- 8. Plot hasil ---
ggplot() +
  geom_raster(data = kriging_uk_df, aes(x = x, y = y, fill = pH)) +
  geom_sf(data = st_transform(banten, 32748), fill = NA, color = "black", size = 0.4) +
  scale_fill_viridis(name = "pH", option = "inferno") +
  coord_sf(crs = st_crs(32748)) +
  labs(title = "Interpolasi pH Tanah - Universal Kriging (Banten)",
       x = "Koordinat X (meter)", y = "Koordinat Y (meter)") +
  theme_minimal()