###################################################################################

###  R code to interpolate monthly climatologies 

## connect to server of choice

#system("ssh litoria")

#R

library(sp)

#library(spgrass6)

library(rgdal)

library(reshape)

library(ncdf4)

#library(geosphere)

#library(rgeos)

library(multicore)

library(raster)

library(rasterVis)

library(lattice)

library(latticeExtra)

#library(rgl)

#library(hdf5)

#library(heR.Misc)

#library(car)

library(mgcv)

library(sampling)

X11.options(type="Xlib")

ncores=20  #number of threads to use

setwd("/home/adamw/acrobates/projects/interp")

## get MODLAND tile information

tb=read.table("http://landweb.nascom.nasa.gov/developers/sn_tiles/sn_bound_10deg.txt",skip=6,nrows=648,header=T)

tb$tile=paste("h",sprintf("%02d",tb$ih),"v",sprintf("%02d",tb$iv),sep="")

save(tb,file="modlandTiles.Rdata")

#tile="h11v08"   #can move this to submit script if needed

tile="h21v09"  #Kenya

tile="h09v04"   #oregon

tiles=c("h11v08","h09v04")

psin=CRS("+proj=sinu +lon_0=0 +x_0=0 +y_0=0 +a=6371007.181 +b=6371007.181 +units=m +no_defs")

tile_bb=tb[tb$tile==tile,] ## identify tile of interest

roi_ll=extent(tile_bb$lon_min,tile_bb$lon_max,tile_bb$lat_min,tile_bb$lat_max) 

dmod06="data/modis/mod06/summary"

outdir=paste("data/tiles/",tile,"/",sep="")

##########################

#### Organize the data

months=seq(as.Date("2000-01-15"),as.Date("2000-12-15"),by="month")

getmod06<-function(variable,month=NA){

  d=brick(list.files(dmod06,pattern=paste("MOD06_",tile,".nc$",sep=""),full=T),varname=toupper(variable))

  if(!is.na(month)) {

    d=subset(d,subset=month)

    names(d)=variable

  }

  if(is.na(month)){

    setZ(d,format(as.Date(d@z$Date),"%m"),name="time")

    layerNames(d) <- as.character(format(as.Date(d@z$Date),"%b")) #paste(variable,format(as.Date(d@z$Date),"%m"))

  }

  projection(d)=psin

  return(d)

}

cer=getmod06("cer")

cld=getmod06("cld")

cot=getmod06("cot")

cer20=getmod06("cer20")

pcol=colorRampPalette(c("brown","red","yellow","darkgreen"))

### create data dir for tiled data

ddir=paste("data/tiles/",tile,sep="")

if(!file.exists(ddir)) dir.create(ddir)

## load WorldClim data for comparison (download then uncompress)

#system("wget -P data/worldclim/ http://biogeo.ucdavis.edu/data/climate/worldclim/1_4/grid/cur/prec_30s_bil.zip",wait=F)

#system("wget -P data/worldclim/ http://biogeo.ucdavis.edu/data/climate/worldclim/1_4/grid/cur/alt_30s_bil.zip",wait=F)

### load WORLDCLIM elevation 

if(!file.exists(paste(ddir,"/dem_",tile,".tif",sep=""))){

  dem=raster(list.files("data/worldclim/alt_30s_bil/",pattern="bil$",full=T))

  projection(dem)=CRS("+proj=longlat +datum=WGS84 +ellps=WGS84 +towgs84=0,0,0")

  dem=crop(dem,roi_ll)

  dem[dem>30000]=NA

  dem=projectRaster(dem,cer)

  writeRaster(dem,file=paste("data/tiles/",tile,"/dem_",tile,".tif",sep=""),format="GTiff",overwrite=T)

}

dem=raster(paste("data/tiles/",tile,"/dem_",tile,".tif",sep=""))

names(dem)="dem"

### get station data, subset to stations in region, and transform to sinusoidal

dm=readOGR(ddir,paste("station_monthly_",tile,"_PRCP",sep=""))

colnames(dm@data)[grep("elevation",colnames(dm@data))]="elev"

colnames(dm@data)[grep("value",colnames(dm@data))]="ppt"

#xyplot(latitude~longitude|month,data=dm@data)

## transform to sinusoidal to overlay with raster data

dm2=spTransform(dm,CRS(projection(cer)))

dm2@data[,c("x","y")]=coordinates(dm2)

## limit data to station-months with at least 300 daily observations (~10 years)

dm2=dm2[dm2$count>300,]

## create coordinate rasters

### create monthly raster bricks for prediction

getd<-function(vars=c("cer","cot","cer20","cld"),month){

  pdata=stack(lapply(vars,function(v){getmod06(v,month=month)}))

  x=rasterFromXYZ(coordinates(dem)[,c(1,2,1)])

  y=rasterFromXYZ(coordinates(dem)[,c(1,2,2)])

  pdata=stack(pdata,dem,x,y)

  return(pdata)

}

## Set up models to compare

####################################

#### build table comparing various metrics

models=data.frame(model=c(

#  "ppt~s(y)+ s(x)",

#  "ppt~s(y,x)",

  "lppt~s(y,x)",

  "lppt~s(y,x)+s(dem)",

  "lppt~s(y,x,dem)",

  "lppt~s(y,x,dem)+s(cld)",

  "lppt~s(y,x)+s(dem)+s(cld)",

  "lppt~s(y,x)+s(cld)",

  "lppt~s(y,x)+s(cot)",

  "lppt~s(y,x)+s(dem)+s(cot)",

  "lppt~s(y,x,dem)+s(cot)",

  "lppt~s(y,x)+s(cer20)",

  "lppt~s(y,x)+s(dem)+cld+cot+cer20",

  "lppt~s(y,x,dem)+cld+cot+cer20",

  "lppt~s(y,x)+s(dem)+s(cld,cot,cer20)",

  "lppt~s(y,x)+s(dem)+s(cld)+s(cot)+s(cer20)"))

  months=1:12

## add category for each model

models$type="Spatial"

models$type[grepl("cer|cot|cer20",models$model)]="MOD06"

models$type[grepl("cld",models$model)&!grepl("cer|cot|cer20",models$model)]="MOD35"

## build the list of models/months to process

mm=expand.grid(model=models$model,months=months,stringsAsFactors=F)

mm$mid=match(mm$model,models$model)

### Sample validation stations

prop=0.1

### run it

fitmod<-function(i,prop=0.1,predict=F, nv,...){

  model=as.character(mm$model[i])

  month=mm$month[i]

  mid=mm$mid[i]

### extract data

  dr=getd(month=month)

  ##  subset data for this month

  dt=dm2[dm2$month==month,]

  ## add log+1 ppt

  dt$lppt=log(dt$ppt+1)

  ## extract for points from dm2

  dr2=subset(dr,subset=grep("^x$|^y$",names(dr),invert=T))

  ds=cbind.data.frame(dt@data,extract(dr2,dt))

### flag stations to hold out for validation

  ts2=do.call(rbind.data.frame,lapply(1:nv,function(r) {

    ds$validation=F

    ds$validation[sample(1:nrow(ds),size=as.integer(prop*nrow(ds)))]=T

### fit model

    mod<<-try(gam(as.formula(model),data=ds[!ds$validation,]),silent=T)

      ## if fitting fails, return a NULL

      if(class(mod)[[1]]=="try-error")  return(NULL)

### Model Validation

      vd=ds[ds$validation,]  # extract validation points

      y=as.data.frame(predict(mod,ds,se.fit=T))      # make predictions

      if(attr(terms(mod),"variables")[[2]]=="lppt"){  #if modeling log(ppt+1), transform back to real units

        y$fit=exp(y$fit)-1

        y$se.fit=exp(y$se.fit)-1

      }

      ds[,c("pred","pred.se")]=cbind(y$fit,y$se.fit)

      ds$model=model

      ds$modelid=mid

      vlm=lm(pred~ppt,data=ds[ds$validation,])       # lm() to summarize predictive fit

    if(r==nv) ds<<-ds  #if on last iteration, save predictions

### summarize validation

      s1=summary(mod)

      s2=data.frame(

        model.r2=s1$r.sq,

        model.dev=s1$dev.expl,

        model.aic=AIC(mod),

        valid.rmse=sqrt(mean((vd$ppt-y$fit[ds$validation])^2,na.rm=T)),

        valid.nrmse=sqrt(mean((vd$ppt-y$fit[ds$validation])^2,na.rm=T))/mean(vd$ppt+.1,na.rm=T),

        valid.mer=mean(vd$ppt-y$fit[ds$validation],na.rm=T),

        valid.mae=mean(abs(vd$ppt-y$fit[ds$validation]),na.rm=T),

        valid.r2=summary(vlm)$r.squared)

      return(s2)}))

  ## summarize the gcv datasets

  if(nrow(ts2)==0) return(NULL)

  s2a=data.frame(mean=apply(ts2,2,mean,na.rm=T))

  s2b=t(apply(ts2,2,quantile,c(0.025,0.975),na.rm=T))

  colnames(s2b)=paste("Q",c(2.5,97.5),sep="")

  s2=cbind.data.frame(tile=tile, model=model, modelid=mid, month=month,

    metric=rownames(s2a),s2a,s2b)

  rownames(s2)=1:nrow(s2)

### add some attributes to the object to help ID it later

      attr(mod,"month")=ds$month[1]

      attr(mod,"model")=model

      attr(mod,"modelid")=mid

### generate predictions?

  if(predict){

    ## write prediction

    ncfile=paste(outdir,tile,"_pred_",ds$month[1],"_",mid[1],".nc",sep="")

    predict(dr,mod,filename=ncfile,format="CDF",overwrite=T)

    ## add some attributes to nc file

    ncopath=""

    ## add other attributes

    system(paste(ncopath,"ncrename -v variable,ppt ",ncfile,sep=""))

    system(paste(ncopath,"ncatted -a units,ppt,o,c,\"mm\" ",

                 "-a model,ppt,o,c,\"",model,"\" ",

                 "-a long_name,ppt,o,c,\"Mean Monthly Precipitation\" ",

                 ncfile,sep=""))

    ## create NC file to hold summary data and then append it to output file

    ## add table for validation metrics

    s2_dim1=ncdim_def("metrics1",units="",vals=1:ncol(s2),unlim=FALSE,create_dimvar=T,longname="Model Fitting and Validation Metrics")

    s2_dim2=ncdim_def("metrics2",units="",vals=1:nrow(s2),unlim=FALSE,create_dimvar=T,longname="Model Fitting and Validation Metrics")

    s2_var=ncvar_def("modelmetrics",units="varies",list(s2_dim1,s2_dim2),missval=-999,longname="Model Fitting and Validation Metrics",

      prec="float")

    ## simplify data table for incorporation into netcdf file

    ds2=ds[,-1];ds2$validation=ifelse(ds2$validation,1,0)

    ds2=as.matrix(ds2)

    data_dim1=ncdim_def("data",units="",vals=1:ncol(ds2),unlim=FALSE,create_dimvar=T,longname="Data used in model fitting")

    data_dim2=ncdim_def("stations",units="",vals=1:nrow(ds2),unlim=FALSE,create_dimvar=T,longname="Stations used in model fitting")

    data_var=ncvar_def("modeldata",units="varies",list(data_dim1,data_dim2),missval=-999,longname="Data used in model fitting",

      prec="float")

    tncf=paste(tempdir(),"/",tile,month,mid,"metrics.nc",sep="") #temp file to hold metric data

    nc_create(filename=tncf,vars=list(data_var,s2_var))

    tnc=nc_open(tncf,write=T)

#    ncvar_put(tnc,s2_var,vals=s2)  ## put in validatation data

    ncvar_put(tnc,data_var,vals=ds2)  ## put in validatation data

    nc_close(tnc)  ## close the file

  system(paste(ncopath,"ncks -A ",tncf," ",ncfile,sep=""))

  system(paste(ncopath,"ncatted -a value,modelmetrics,o,c,\"",paste(1:ncol(s2),":",colnames(s2),collapse="

",sep=""),"\" ",ncfile,sep=""))

  ## also add metrics as variable attributes for easier viewing

  for(c in 1:ncol(s2))  system(paste(ncopath,"ncatted -a ",colnames(s2)[c],",ppt,o,",

                                    ifelse(class(s2[1,c])!="numeric","c,\"","d,"),s2[1,c],

                                    ifelse(class(s2[1,c])!="numeric","\" "," "),ncfile,sep=""))

  ## Add time dimension to ease merging files later

  system(paste(ncopath,"ncecat -O -u time ",ncfile," ",ncfile,sep=""))

  cat(paste("

    netcdf time {

      dimensions:

        time = 1 ;

      variables:

        int time(time) ;

      time:units = \"months since 2000-01-01 00:00:00\" ;

      time:calendar = \"gregorian\";

      time:long_name = \"time of observation\"; 

    data:

      time=",as.integer(ds$month[1]-1),";

    }"),file=paste(tempdir(),"/time.cdl",sep=""))

  system(paste("ncgen -o ",tempdir(),"/time.nc ",tempdir(),"/time.cdl",sep=""))

  system(paste(ncopath,"ncks -A ",tempdir(),"/time.nc ",ncfile,sep=""))

  ## global attributes

  system(paste(ncopath,"ncatted -a title,global,o,c,\"Interpolated Monthly Precipitation\" ",

               "-a institution,global,o,c,\"Yale University\" ",

               "-a source,global,o,c,\"Interpolated from station data\" ",

               "-a contact,global,o,c,\"adam.wilson@yale.edu\" ",

               ncfile,sep=""))

  }

  print(paste("Finished model ",model," for month",ds$month[1]))

  return(list(model=mod,summary=s2,data=ds))

}

mods=lapply(1:nrow(mm),fitmod,predict=F,nv=100)

## extract summary tables and write them

sums=do.call(rbind.data.frame,lapply(mods,function(m) return(m$summary)))

write.csv(sums,paste(outdir,tile,"_validation.csv",sep=""))

pred=lapply(mods,function(m) return(m$data))

### messy error handling to remove tables with incorrect number of columns...

nullpred=which(!do.call(c,lapply(pred,function(x) ncol(x)==20&!is.null(x))))

pred=pred[nullpred]

pred=do.call(rbind.data.frame,pred)

pred$tile=tile

write.csv(pred,paste(outdir,tile,"_predictions.csv",sep=""))

### read them back

#sums=do.call(rbind.data.frame,lapply(tiles,function(tile) read.csv(paste("data/tiles/",tile,"/",tile,"_validation.csv",sep=""))))

sums=read.csv(paste(outdir,tile,"_validation.csv",sep=""))

pred=read.csv(paste(outdir,tile,"_predictions.csv",sep=""))

#sums=rbind.data.frame(sums,read.csv(paste("data/tiles/",tiles[1],"/",tiles[1],"_validation.csv",sep="")))

#pred=read.csv(paste(outdir,tiles[1],"_predictions.csv",sep=""))

## reshape summary validation data

#sumsl=melt(sums,id.vars=c("tile","model","modelid","month"))

sum2=cast(sums[,-1],model+modelid~metric,value="mean",fun=function(x) c(median=round(median(x,na.rm=T),2),sd=round(sd(x,na.rm=T),2)));sum2

#by(sum2,tile,function(x) rank(apply(cbind(rank(x$valid.rmse_median),rank(-x$valid.r2_median)),1,mean,na.rm=T)))

#sum2$rank=rank(apply(cbind(rank(sum2$valid.rmse_median),rank(-sum2$valid.r2_median)),1,mean,na.rm=T))

## add sorting variables across months

sum2$rank=rank(apply(cbind(rank(sum2$valid.rmse_median),rank(-sum2$valid.r2_median)),1,mean,na.rm=T))

sum2[order(sum2$rank),c("model","modelid","valid.r2_median","valid.rmse_median","valid.nrmse_median","rank"),] #"valid.mer_mean",

sums$fmodel=factor(sums$model,ordered=T,levels=rev(sum2$model[order(sum2$rank)]))

## add sorting variables for each month

sumsl2=cast(model~month~metric,value="mean",data=sums)

sumsl2[,,"valid.r2"]

#combineLimits(useOuterStrips(xyplot(value~month|model+variable,data=sumsl,scale=list(relation="free"))))

sums2=sums[sums$metric%in%c("valid.r2","valid.rmse"),]

###############################################################

###############################################################

### Draw some plots

library(maptools)

coast=getRgshhsMap(fn="/home/adamw/acrobates/Global/GSHHS_shp/gshhs/gshhs_l.b",

  xlim=c(360+roi_ll@xmin,360+roi_ll@xmax),ylim=c(roi_ll@ymin,roi_ll@ymax),level=1)

coast=as(coast,"SpatialLines")

coast=spTransform(coast,psin)

roi=spTransform(roi,psin)

roil=as(roi,"SpatialLines")

### quantile function

gq=function(x,n=10,cut=F) {

  if(!cut) return(unique(quantile(x,seq(0,1,len=n+1),na.rm=T)))

  if(cut)  return(cut(x,unique(quantile(x,seq(0,1,len=n+1),na.rm=T))))

}

bgyr=colorRampPalette(c("brown","yellow","green","darkgreen","blue"))

X11.options(type="cairo")

png(paste("output/ModelComparisonRasters_",tile,"_%02d.png",sep=""),width=3000,height=2000,res=300,bg="transparent",type="cairo-png")

## COT climatologies

at=unique(seq(0,30,len=100))

p=levelplot(cot,xlab.top=title,at=at,col.regions=bgyr(length(at)))+layer(sp.lines(coast, lwd=1.2, col='black'))

print(p)

## all monthly predictions

p1=brick(stack(list.files(outdir,pattern="pred_.*_10.nc$",full=T),varname="ppt"))

projection(p1)=psin

names(p1)=month.name

title=""#"Interpolated Precipitation"

at=unique(quantile(as.matrix(p1),seq(0,1,len=100),na.rm=T))

at=unique(seq(min(p1@data@min),max(p1@data@max),len=100))

p=levelplot(p1,xlab.top=title,at=at,col.regions=bgyr(length(at)))#+layer(sp.lines(roil, lwd=1.2, col='black'))

print(p)

## compare two models

p2=brick(stack(list.files(outdir,pattern="pred_3_3.nc|pred_3_12.nc",full=T)[2:1],varname="ppt"))

projection(p2)=psin

names(p2)=c("X+Y+Elevation","X+Y+Elevation+MOD06")

at=unique(seq(min(p2@data@min),max(p2@data@max),len=100))

p=levelplot(p2,xlab.top=title,at=at,col.regions=bgyr(length(at)))+layer(sp.lines(coast, lwd=1.2, col='black'))

print(p)

dev.off()

png(paste("output/dem_",tile,".png",sep=""),width=3000,height=3000,res=300,bg="transparent")

at=unique(seq(min(dem@data@min),max(dem@data@max),len=100))

st=unique(coordinates(dm2))

levelplot(dem,col.regions=terrain.colors(100),at=at,margin=F)+

  layer(panel.xyplot(st[,1],st[,2],cex=.5,pch=3,col="black"))

dev.off()

pdf(paste("output/ModelComparison_",tile,".pdf",sep=""),width=11,height=5,useDingbats=F)

bwplot(fmodel~mean|metric,data=sums2,scale=list(x=list(relation="free")),subscripts=T,panel=function(x,y,subscripts){

  panel.abline(v=mean(x))

  types=models$type[match(sort(unique(y)),models$model)]

  panel.bwplot(x,y,fill=ifelse(types=="Spatial","grey",ifelse(types=="MOD35","dodgerblue","orangered")))

  #  panel.text(x,jitter(as.numeric(y),factor=.5),labels=as.character(sums2$month[subscripts]),col="grey40",cex=.3)

  panel.xyplot(x,y,pch=16,col="grey48",cex=.5)

},

                                        #strip=strip.custom(factor.levels=c("Validation R^2","Validation RMSE")),

       main="Comparison of Validation Metrics",sub="Vertical line indicates overall mean",

       key=list(space="right",rect=list(col=c("orangered","dodgerblue","grey")),text=list(c("MOD06","MOD35","Spatial"))))

dev.off()

### illustration of GAM for IBS poster

#mm

i=56

mm[i,]

tm=fitmod(i,predict=F,nv=1)

    ## partial residual plots

var=4

    fv <- predict(tm$mod,type="terms") ## get term estimates

    v=sub("[)]","",sub("s[(]","",colnames(fv)))[var]

    ## compute partial residuals for first smooth...

    prsd1 <- residuals(tm$mod,type="working") + fv[,var]

pdf(paste("output/GAMexample.pdf"),width=11,height=6,useDingbats=F)

plot(tm$mod,select=var,las=1,rug=F,cex.lab=2,cex.axis=2) ## plot first smooth

    points(tm$mod$model[,v],prsd1,pch=16,cex=.5,col="red")

dev.off()

xyplot(mean~month|metric,groups=model,type="l",data=sums,scale=list(y=list(relation="free")),auto.key=list(space="right"))#+layer(panel.xyplot(x,y,pch=16,col="grey"),under=T)+layer(panel.abline(v=mean(x)))

sums$type=as.factor(models$type[match(sums$model,models$model)])

xyplot(mean~month|metric,groups=model,type="l",data=sums2,panel=function(x,y,subscripts,groups){

  tsums=sums[subscripts,]

  panel.xyplot(x,y,groups=groups,type="l",subscripts=subscripts,col=ifelse(tsums$type=="Spatial","grey20",ifelse(tsums$type=="MOD35","blue","red")))

  panel.segments(tsums$month,tsums$Q2.5,tsums$month,tsums$Q97.5,groups=groups,subscripts=subscripts)

},subscripts=T,scale=list(y=list(relation="free")),

       key=list(space="right",text=list(c("Spatial","MOD35","MOD06")),lines=list(col=c("grey20","blue","red"))))

                                        #+layer(panel.xyplot(x,y,pch=16,col="grey"),under=T)+layer(panel.abline(v=mean(x)))

xyplot(pred~ppt|as.factor(month),groups=validation,data=pred,panel=function(x,y,subscripts,groups){

  panel.xyplot(x,y,groups=groups,subscripts=subscripts)

  panel.abline(0,1,col="red",lwd=2)

},scales=list(relation="free"),

       main="Predicted vs. Observed mean monthly precipitation at validation stations",

       sub="Line is y=x",auto.key=T)

## plot prediction rasters

p=raster(ncfile,varname="ppt")

plot3D(dem, maxpixels=100000,zfac=.5, drape=p, rev=FALSE, adjust=TRUE)

###################################################################

###################################################################

### add some additional variables

mod06s$month=factor(mod06s$month,labels=format(as.Date(paste("2000",1:12,"15",sep="-")),"%b"))

mod06s$lppt=log(mod06s$ppt)

mod06s$glon=cut(mod06s$lon,gq(mod06s$lon,n=5),include.lowest=T,ordered=T)#gq(mod06s$lon,n=3))

mod06s$glon2=cut(mod06s$lon,breaks=c(-125,-122,-115),labels=c("Coastal","Inland"),include.lowest=T,ordered=T)#gq(mod06s$lon,n=3))

mod06s$gelev=cut(mod06s$elev,breaks=gq(mod06s$elev,n=3),labels=c("Low","Mid","High"),include.lowest=T,ordered=T)

mod06s$gbin=factor(paste(mod06s$gelev,mod06s$glon2,sep="_"),levels=c("Low_Coastal","Mid_Coastal","High_Coastal","Low_Inland","Mid_Inland","High_Inland"),ordered=T)

mod06s$LWP_mean=(2/3)*mod06s$CER_mean*mod06s$COT_mean

## melt it

mod06sl=melt(mod06s[,!grepl("lppt",colnames(mod06s))],id.vars=c("id","lon","lat","elev","month","ppt","glon","glon2","gelev","gbin"))

levels(mod06sl$variable)=c("Effective Radius (um)","Very Cloudy Days (%)","Cloudy Days (%)","Optical Thickness (%)","Liquid Water Path")

pdf("output/MOD06_summary.pdf",width=11,height=8.5)

# % cloudy maps

title="Cloudiness (% cloudy days) "

at=unique(quantile(as.matrix(cld),seq(0,1,len=100),na.rm=T))

p=levelplot(cld,xlab.top=title,at=at,col.regions=bgyr(length(at)))#+layer(sp.lines(roil, lwd=1.2, col='black'))

print(p)

#bwplot(cer,main=title,ylab="Cloud Effective Radius (microns)")

# CER maps

title="Cloud Effective Radius (microns)"

at=quantile(as.matrix(cer),seq(0,1,len=100),na.rm=T)

p=levelplot(cer,xlab.top=title,at=at,col.regions=bgyr(length(at)))#+layer(sp.lines(roil, lwd=1.2, col='black'))

print(p)

#bwplot(cer,main=title,ylab="Cloud Effective Radius (microns)")

# CER20 maps

title="% Days with Cloud Effective Radius > 20 microns"

at=unique(quantile(as.matrix(cer20),seq(0,1,len=100),na.rm=T))

p=levelplot(cer20,xlab.top=title,at=at,col.regions=bgyr(length(at)))#+layer(sp.lines(roil, lwd=1.2, col='black'))

print(p)

#bwplot(cer,main=title,ylab="Cloud Effective Radius (microns)")

# COT maps

title="Cloud Optical Thickness (%)"

at=quantile(as.matrix(cot),seq(0,1,len=100),na.rm=T)

p=levelplot(cot,xlab.top=title,at=at,col.regions=bgyr(length(at)))#+layer(sp.lines(roil, lwd=0.8, col='black'))

print(p)

#bwplot(cot,xlab.top=title,ylab="Cloud Optical Thickness (%)")

dev.off()

### Calculate the slope of each line

mod06s.sl=dapply(mod06s,list(id=mod06s$id),function(x){

  lm1=lm(log(x$ppt)~x$CER_mean,)

  data.frame(lat=x$lat[1],lon=x$lon[1],elev=x$elev[1],intcpt=coefficients(lm1)[1],cer=coefficients(lm1)[2],r2=summary(lm1)$r.squared)

})

mod06s.sl$cex=gq(mod06s.sl$r2,n=5,cut=T)

mod06s.sl$cer.s=gq(mod06s.sl$cer,n=5,cut=T)

###  and plot it on a map

xyplot(lat~lon,group=cer.s,data=mod06s.sl,par.settings = list(superpose.symbol = list(pch =16, col=bgyr(5),cex=1)),auto.key=list(space="right",title="Slope Coefficient"),asp=1,

       main="Slopes of linear regressions {log(ppt)~CloudEffectiveRadius}")+

  layer(sp.lines(roi_geo, lwd=1.2, col='black'))

### look for relationships with longitude

xyplot(cer~lon,group=cut(mod06s.sl$elev,gq(mod06s.sl$elev,n=5)),data=mod06s.sl,

       par.settings = list(superpose.symbol = list(col=bgyr(5),pch=16,cex=1)),auto.key=list(space="right",title="Station Elevation"),

       ylab="Slope of lm(ppt~EffectiveRadius)",xlab="Longitude",main="Precipitation~Effective Radius relationship by latitude")

############################################################

### simple regression to get spatial residuals

m="01"

mod06s2=mod06s#[mod06s$month==m,]

lm1=lm(log(ppt)~CER_mean*month*lon,data=mod06s2); summary(lm1)

mod06s2$pred=exp(predict(lm1,mod06s2))

mod06s2$resid=mod06s2$pred-mod06s2$ppt

mod06s2$residg=gq(mod06s2$resid,n=5,cut=T)

mod06s2$presid=mod06s2$resid/mod06s2$ppt

for(l in c(F,T)){

## all months

  xyplot(pred~ppt,groups=gelev,data=mod06s2,

       par.settings = list(superpose.symbol = list(col=bgyr(3),pch=16,cex=.75)),auto.key=list(space="right",title="Station Elevation"),

       scales=list(log=l),

       ylab="Predicted Mean Monthly Precipitation (mm)",xlab="Observed Mean Monthly Precipitation (mm)",main="Predicted vs. Observed for Simple Model",

       sub="Red line is y=x")+

  layer(panel.abline(0,1,col="red"))

## month by month

  print(xyplot(pred~ppt|month,groups=gelev,data=mod06s2,

       par.settings = list(superpose.symbol = list(col=bgyr(3),pch=16,cex=.75)),auto.key=list(space="right",title="Station Elevation"),

       scales=list(log=l),

       ylab="Predicted Mean Monthly Precipitation (mm)",xlab="Observed Mean Monthly Precipitation (mm)",main="Predicted vs. Observed for Simple Model",

       sub="Red line is y=x")+

  layer(panel.abline(0,1,col="red"))

)}

## residuals by month

xyplot(lat~lon|month,group=residg,data=mod06s2,

       par.settings = list(superpose.symbol = list(pch =16, col=bgyr(5),cex=.5)),

       auto.key=list(space="right",title="Residuals"),

       main="Spatial plot of monthly residuals")+

    layer(sp.lines(roi_geo, lwd=1.2, col='black'))

dev.off()