lbm__gam = function( p, dat, pa ) {
#\\ this is the core engine of lbm .. localised space-time modelling interpolation and prediction
#\\ simple GAM with spatial weights (inverse distance squared) and ts harmonics
sdTotal=sd(dat[,p$variable$Y], na.rm=T)
if (!exists("lbm_gam_optimizer", p)) p$lbm_gam_optimizer=c("outer", "bfgs")
if ( exists("lbm_local_model_distanceweighted", p) ) {
if (p$lbm_local_model_distanceweighted) {
hmod = try( gam( p$lbm_local_modelformula, data=dat, family=p$lbm_local_family, na.action="na.omit", weights=weights, optimizer=p$lbm_gam_optimizer) )
} else {
hmod = try( gam( p$lbm_local_modelformula, data=dat, family=p$lbm_local_family, na.action="na.omit", optimizer=p$lbm_gam_optimizer ) )
}
} else {
hmod = try( gam( p$lbm_local_modelformula, data=dat, family=p$lbm_local_family, na.action="na.omit", optimizer=c("outer", "bfgs") ) )
}
if ( "try-error" %in% class(hmod) ) return( NULL )
ss = summary(hmod)
if (ss$r.sq < p$lbm_rsquared_threshold ) return(NULL)
out = try( predict( hmod, newdata=pa, type="link", se.fit=T ) ) # returning on link scale
if ( "try-error" %in% class( out ) ) return( NULL )
pa$mean = as.vector(out$fit)
pa$sd = as.vector(out$se.fit) # this is correct: se.fit== stdev of the mean fit: eg: https://stat.ethz.ch/pipermail/r-help/2005-July/075856.html
lbm_stats = list( sdTotal=sdTotal, rsquared=ss$r.sq, ndata=ss$n ) # must be same order as p$statsvars
# lattice::levelplot( mean ~ plon + plat, data=pa[pa$tiyr==2012.05,], col.regions=heat.colors(100), scale=list(draw=FALSE) , aspect="iso" )
return( list( predictions=pa, lbm_stats=lbm_stats ) )
}
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