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###########
####### 3.Naive 1 and Naive 2 method for spatial prediction #####################
###########
naive12=function(data,cc,copred,thetaini,y.col=3,coords.col=1:2,covar,covar.col,fix.nugget=T,nugget,kappa=0.5,cutof,cov.model,trend){
if(covar==T){
geodataprin=as.geodata(data,coords.col =coords.col, data.col = y.col, covar.col = covar.col)
}
if(covar==F){
geodataprin=as.geodata(data,coords.col =coords.col, data.col = y.col)
}
coords=geodataprin$coords
y=geodataprin$data
covparini=thetaini
naive1=y
naive2=y
naive1[cc==1]=cutof
naive2[cc==1]=cutof/2
if(covar==T){
covariates=geodataprin$covariate
dataa=data.frame(coords,naive1,covariates)
datab=data.frame(coords,naive2,covariates)
geodata1=as.geodata(dataa,coords.col =coords.col, data.col = y.col, covar.col = covar.col)
geodata2=as.geodata(datab,coords.col =coords.col, data.col = y.col, covar.col = covar.col)
}
if(covar==F){
dataa=data.frame(coords,naive1)
datab=data.frame(coords,naive2)
geodata1=as.geodata(dataa,coords.col =coords.col, data.col = y.col)
geodata2=as.geodata(datab,coords.col =coords.col, data.col = y.col)
}
est1=likfit(geodata1, coords = geodata1$coords, data = geodata1$data,kappa=kappa,
trend = trend, ini.cov.pars=covparini, fix.nugget = fix.nugget, nugget = nugget,cov.model=cov.model, messages = FALSE)
est2=likfit(geodata2, coords = geodata2$coords, data = geodata2$data,kappa=kappa,
trend = trend, ini.cov.pars=covparini, fix.nugget = fix.nugget, nugget =nugget,cov.model=cov.model, messages = FALSE)
kc1=krige.control(type.krige = "ok",obj.model=est1)
kc2=krige.control(type.krige = "ok",obj.model=est2)
phi1=est1$cov.pars[2]
sigma21=est1$cov.pars[1]
tau21=est1$nugget
beta1=est1$beta
#V=varcov.spatial(geodata$coords,cov.model="matern",cov.pars=c(sigma2,phi),nugget=tau2,kappa=0.5)$varcov
theta1=c(beta1,sigma21,phi1,tau21)
phi2=est2$cov.pars[2]
sigma22=est2$cov.pars[1]
tau22=est2$nugget
beta2=est2$beta
#V=varcov.spatial(geodata$coords,cov.model="matern",cov.pars=c(sigma2,phi),nugget=tau2,kappa=0.5)$varcov
theta2=c(beta2,sigma22,phi2,tau22)
AIC1=est1$AIC
BIC1=est1$BIC
AIC2=est2$AIC
BIC2=est2$BIC
loglik1=est1$loglik
loglik2=est2$loglik
aux1=krige.conv(geodata1,coords=coords, data=geodata1$data,locations=copred, krige=kc1,output=output.control(messages=F))
aux2=krige.conv(geodata2,coords=coords, data=geodata2$data,locations=copred, krige=kc2,output=output.control(messages=F))
predictions1=aux1$predict
predictions2=aux2$predict
sdpred1=sqrt(aux1$krige.var)
sdpred2=sqrt(aux2$krige.var)
return(list(beta1=beta1,beta2=beta2,theta1=theta1,theta2=theta2,predictions1=predictions1,predictions2=predictions2,sdpred1=sdpred1,sdpred2=sdpred2,AIC1=AIC1,BIC1=BIC1,AIC2=AIC2,BIC2=BIC2,loglik1=loglik1,loglik2=loglik2))
}
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