plot_MAE_per_station_fun <- function(list_data_v,names_var,interp_method,var_background,stat_loc,out_suffix){

  #Function to create a series of residuals MAE plots...

  mae_fun<-function(x){mean(abs(x))} #Mean Absolute Error give a residuals vector

  sd_abs_fun<-function(x){sd(abs(x))} #sd Absolute Error give a residuals vector

  ### Start script ###

  data_v_test <- list_data_v[[1]]

  #Convert sp data.frame and combined them in one unique df, see function define earlier

  data_v_combined <-convert_spdf_to_df_from_list(list_data_v) #long rownames

  #names_var_all<-c("res_mod1","res_mod2","res_mod3","res_mod4","res_mod5","res_mod6","res_mod7")#,"res_mod8","res_mod9","res_mod10")

  names_var_all <- res_model_name <- paste("res",names_var,sep="_")

  t<-melt(data_v_combined,

        measure=names_var_all, 

        id=c("id"),

        na.rm=T)

  names(data_v_combined)

  mae_tb<-cast(t,id~variable,mae_fun) #join to station location...

  data_v_mae <-merge(mae_tb,stat_loc,by.x=c("id"),by.y=c("STAT_ID"))

  coords<- data_v_mae[c('longitude','latitude')]              #Define coordinates in a data frame

  CRS_interp<-proj4string(data_v_test)

  coordinates(data_v_mae)<-coords                      #Assign coordinates to the data frame

  proj4string(data_v_mae)<- proj4string(stat_loc)                #Assign coordinates reference system in PROJ4 format

  data_v_mae<-spTransform(data_v_mae,CRS(CRS_interp))     #Project from WGS84 to new coord. system

  list_p_mae <- vector("list", length(names_var_all))

  #names_var <- c("mod1","mod2","mod3","mod7")

  for (k in 1:length(names_var)){

    model_name <- names_var[k]

    res_model_name <- paste("res",model_name,sep="_")

    p1 <- levelplot(var_background,scales = list(draw = FALSE), colorkey = FALSE,par.settings = GrTheme)

    df_tmp=subset(data_v_mae,data_v_mae[[res_model_name]]!="NaN")

    p2 <- bubble(df_tmp,res_model_name, main=paste("Average MAE per station for ",model_name," ",interp_method, sep=""),

               na.rm=TRUE)

    p3 <- p2 + p1 + p2 #to force legend...

    list_p_mae[[k]] <- p3

  }

  data_mae_obj <- list(list_p_mae,data_v_mae)

  names(data_mae_obj) <- c("list_p_mae","data_v_mae")

  return(data_mae_obj)

}

# boxplot compare lat*lon, lat*lon+elev , lat*lon+LST for  all three methods?

# Do MAE per stations for the best model  for  kriging, GWR and GAM/.

names(data_mae_gam_CAI_obj)

data_v_mae_gam_CAI <- data_mae_gam_CAI_obj$data_v_mae

data_v_mae_kriging_CAI <- data_mae_kriging_CAI_obj$data_v_mae

data_v_mae_gwr_CAI <- data_mae_gwr_CAI_obj$data_v_mae

## Histogram plots: Show histo for mod1,mod2,mod3 and mod7 for gam, kriging and  gwr

#Combine fig??

#hist(data_v_mae_gam_CAI$res_mod1,breaks=c(1,2,3))

hist(data_v_mae_gam_CAI$res_mod1) #,breaks=c(1,2,3))

hist(data_v_mae_kriging_CAI$res_mod1)

hist(data_v_mae_gwr_CAI$res_mod1)

hist(data_v_mae_gam_CAI$res_mod2) #,breaks=c(1,2,3))

hist(data_v_mae_kriging_CAI$res_mod2)

hist(data_v_mae_gwr_CAI$res_mod2)

hist(data_v_mae_gam_CAI$res_mod3) #,breaks=c(1,2,3))

hist(data_v_mae_kriging_CAI$res_mod3)

hist(data_v_mae_gwr_CAI$res_mod3)

hist(data_v_mae_gam_CAI$res_mod7) #,breaks=c(1,2,3))

hist(data_v_mae_kriging_CAI$res_mod7)

hist(data_v_mae_gwr_CAI$res_mod7)

### Figure 13: Analysing residuals and relationship to elevation for mod1, mod2 and mod4 ######

#raster_predicton object for baseline 1 () s(lat,lon) + s(elev)) and baseline 2 (slat,lon))      

#list_data_v <- lapply(1:365,function(i){raster_prediction_obj_2$validation_mod_obj[[i]]$data_v}) #testing with residuals

#l_formulas<-(extract_from_list_obj(raster_prediction_obj_2$method_mod_obj,"formulas")) #get vector of dates

test <- do.call(rbind,list_data_v$gam_CAI)        

data_v_ag <-test                

cor(test$res_mod1,test$elev)

cor(test$res_mod2,test$elev,use="complete.obs") #decrease in corellation when using elev

cor(test$res_mod1,test$LST,,use="complete.obs")

cor(test$res_mod3,test$LST,use="complete.obs") #decrease in correlation when using LST

brks<- c(0,500,1000,1500,2000)

lab_brks<-1:4

elev_rcstat<-cut(data_v_ag$elev,breaks=brks,labels=lab_brks,right=F)

#Now set up plotting device

layout_m <- c(1,3) # works if set to this?? ok set the resolution...      

png(paste("Figure_13_paper_","residuals_MAE_",out_prefix,".png", sep=""),

    #height=480*6,width=480*4)

p_bw1<-bwplot(data_v_ag$res_mod1~elev_rcstat,do.out=F,ylim=c(-15,15),

         ylab=list(label="Residuals (deg C)",cex=1.5),

         xlab=list(label="Elevation classes (meter)",cex=1.5),

         main=list(label="Residuals vs elev for mod1=lat*lon",cex=1.8),

         scales = list(x = list(at = c(1, 2, 3, 4), #provide tick location and labels

                               labels = c("0-500","500-1000","1000-1500","1500-2000"))),

                       par.settings = list(axis.text = list(font = 2, cex = 1.3), #control the font size!!

        par.main.text=list(font=2,cex=2),strip.background=list(col="white")),

        par.strip.text=list(font=2,cex=1.5)

        )

p_bw1<-bwplot(data_v_ag$res_mod1~data_v_ag$LST,do.out=F,ylim=c(-15,15),

         ylab=list(label="Residuals (deg C)",cex=1.5),

         xlab=list(label="Elevation classes (meter)",cex=1.5),

         main=list(label="Residuals vs elev for mod1=lat*lon",cex=1.8),

         scales = list(x = list(at = c(1, 2, 3, 4), #provide tick location and labels

                               labels = c("0-500","500-1000","1000-1500","1500-2000"))),

                       par.settings = list(axis.text = list(font = 2, cex = 1.3), #control the font size!!

        par.main.text=list(font=2,cex=2),strip.background=list(col="white")),

        par.strip.text=list(font=2,cex=1.5)

        )

p_bw2 <- bwplot(data_v_ag$res_mod2~elev_rcstat,do.out=F,ylim=c(-15,15),

         ylab=list(label="Residuals (deg C)",cex=1.5),

         xlab=list(label="Elevation classes (meter)",cex=1.5),

         main=list(label="Residuals vs elev for mod5=lat*lon+LST",cex=1.8),

         scales = list(x = list(at = c(1, 2, 3, 4), 

                               labels = c("0-500","500-1000","1000-1500","1500-2000"))),

         par.settings = list(axis.text = list(font = 2, cex = 1.3), #control the font size!!

         par.main.text=list(font=2,cex=2),strip.background=list(col="white")),

         par.strip.text=list(font=2,cex=1.5)

         )

p_bw3 <- bwplot(data_v_ag$res_mod7~elev_rcstat,do.out=F,ylim=c(-15,15),

         ylab=list(label="Residuals (deg C)",cex=1.5),

         xlab=list(label="Elevation classes (meter)",cex=1.5),

         main=list(label="Residuals vs elev for mod2=lat*lon+elev",cex=1.8),

         scales = list(x = list(at = c(1, 2, 3, 4), 

                               labels = c("0-500","500-1000","1000-1500","1500-2000"))),

         par.settings = list(axis.text = list(font = 2, cex = 1.3), #control the font size!!

                par.main.text=list(font=2,cex=2),strip.background=list(col="white")),

                par.strip.text=list(font=2,cex=1.5)

                )

grid.arrange(p_bw1,p_bw2,p_bw3,ncol=3)

dev.off()

# #LAND COVER ###########################################

#INFORMATION