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> # try bivariate cokriging; cross validate first variable
> library(gstat)
Loading required package: lattice 
> data(meuse)
> g=gstat(NULL, "log-zinc", log(zinc)~1,  ~x+y, meuse, nmax=10)
> g=gstat(g, "log-lead", log(lead)~1,     ~x+y, meuse, nmax=10)
> g=gstat(g, "log-copper", log(copper)~1, ~x+y, meuse, nmax=10)
> v=variogram(g)
> g=gstat(g, model=vgm(1, "Sph", 1000), fill.all=T)
> g=fit.lmc(v, g)
> g
data:
log-zinc : formula = log(zinc)`~`1 ; locations = ~x + y ; data dim = 155 x 14 nmax = 10
log-lead : formula = log(lead)`~`1 ; locations = ~x + y ; data dim = 155 x 14 nmax = 10
log-copper : formula = log(copper)`~`1 ; locations = ~x + y ; data dim = 155 x 14 nmax = 10
variograms:
                    model     psill range
log-zinc              Sph 0.7132435  1000
log-lead              Sph 0.6133020  1000
log-copper            Sph 0.3634211  1000
log-zinc.log-lead     Sph 0.6367012  1000
log-zinc.log-copper   Sph 0.4570044  1000
log-lead.log-copper   Sph 0.3934910  1000
> set.seed(13131)
> summary(gstat.cv(g, remove.all=TRUE, nfold=5))
Intrinsic Correlation found. Good.
[using ordinary cokriging]
Intrinsic Correlation found. Good.
[using ordinary cokriging]
Intrinsic Correlation found. Good.
[using ordinary cokriging]
Intrinsic Correlation found. Good.
[using ordinary cokriging]
Intrinsic Correlation found. Good.
[using ordinary cokriging]
       x                y          log-zinc.pred    log-zinc.var    
 Min.   :178605   Min.   :329714   Min.   :4.840   Min.   :0.05409  
 1st Qu.:179371   1st Qu.:330762   1st Qu.:5.368   1st Qu.:0.10484  
 Median :179991   Median :331633   Median :5.858   Median :0.13511  
 Mean   :180005   Mean   :331635   Mean   :5.882   Mean   :0.15125  
 3rd Qu.:180630   3rd Qu.:332463   3rd Qu.:6.353   3rd Qu.:0.16969  
 Max.   :181390   Max.   :333611   Max.   :7.317   Max.   :0.79033  
    observed        residual             zscore               fold  
 Min.   :4.727   Min.   :-1.065578   Min.   :-3.008118   Min.   :1  
 1st Qu.:5.288   1st Qu.:-0.217605   1st Qu.:-0.586261   1st Qu.:2  
 Median :5.787   Median :-0.012082   Median :-0.031313   Median :3  
 Mean   :5.886   Mean   : 0.003732   Mean   : 0.008212   Mean   :3  
 3rd Qu.:6.514   3rd Qu.: 0.218088   3rd Qu.: 0.632272   3rd Qu.:4  
 Max.   :7.517   Max.   : 1.353119   Max.   : 3.279924   Max.   :5  
> summary(gstat.cv(g, remove.all=FALSE, nfold=5))
Intrinsic Correlation found. Good.
[using ordinary cokriging]
Intrinsic Correlation found. Good.
[using ordinary cokriging]
Intrinsic Correlation found. Good.
[using ordinary cokriging]
Intrinsic Correlation found. Good.
[using ordinary cokriging]
Intrinsic Correlation found. Good.
[using ordinary cokriging]
       x                y          log-zinc.pred    log-zinc.var     
 Min.   :178605   Min.   :329714   Min.   :4.632   Min.   :0.002590  
 1st Qu.:179371   1st Qu.:330762   1st Qu.:5.293   1st Qu.:0.005023  
 Median :179991   Median :331633   Median :5.767   Median :0.006181  
 Mean   :180005   Mean   :331635   Mean   :5.893   Mean   :0.006597  
 3rd Qu.:180630   3rd Qu.:332463   3rd Qu.:6.426   3rd Qu.:0.007500  
 Max.   :181390   Max.   :333611   Max.   :7.674   Max.   :0.027236  
    observed        residual             zscore              fold      
 Min.   :4.727   Min.   :-0.513948   Min.   :-5.45652   Min.   :1.000  
 1st Qu.:5.288   1st Qu.:-0.074101   1st Qu.:-1.05557   1st Qu.:2.000  
 Median :5.787   Median : 0.010331   Median : 0.11046   Median :3.000  
 Mean   :5.886   Mean   :-0.007157   Mean   :-0.07335   Mean   :2.968  
 3rd Qu.:6.514   3rd Qu.: 0.070512   3rd Qu.: 0.86810   3rd Qu.:4.000  
 Max.   :7.517   Max.   : 0.506778   Max.   : 7.37567   Max.   :5.000  
> 
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