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################## Interpolation of Tmax Using Kriging #######################################
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########################### Kriging and Cokriging ###############################################
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#This script interpolates station values for the Oregon case study using Kriging and Cokring. #
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#The script uses LST monthly averages as input variables and loads the station data #
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#from a shape file with projection information. #
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#Note that this program: #
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#1)assumes that the shape file is in the current working. #
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#2)relevant variables were extracted from raster images before performing the regressions #
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# and stored shapefile #
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#This scripts predicts tmax using autokrige, gstat and LST derived from MOD11A1. #
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#also included and assessed using the RMSE,MAE,ME and R2 from validation dataset. #
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#TThe dates must be provided as a textfile. #
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#AUTHOR: Benoit Parmentier #
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#DATE: 07/15/2012 #
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#PROJECT: NCEAS INPLANT: Environment and Organisms --TASK#364-- #
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##################################################################################################
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###Loading R library and packages
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#library(gtools) # loading some useful tools
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library(mgcv) # GAM package by Wood 2006 (version 2012)
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library(sp) # Spatial pacakge with class definition by Bivand et al. 2008
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library(spdep) # Spatial pacakge with methods and spatial stat. by Bivand et al. 2012
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library(rgdal) # GDAL wrapper for R, spatial utilities (Keitt et al. 2012)
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library(gstat) # Kriging and co-kriging by Pebesma et al. 2004
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library(automap) # Automated Kriging based on gstat module by Hiemstra et al. 2008
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library(spgwr)
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library(gpclib)
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library(maptools)
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library(graphics)
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library(parallel) # Urbanek S. and Ripley B., package for multi cores & parralel processing
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library(raster)
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###Parameters and arguments
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infile1<- "ghcn_or_tmax_covariates_06262012_OR83M.shp" #GHCN shapefile containing variables for modeling 2010
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#infile2<-"list_10_dates_04212012.txt" #List of 10 dates for the regression
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infile2<-"list_365_dates_04212012.txt"
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infile3<-"LST_dates_var_names.txt" #LST dates name
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infile4<-"models_interpolation_05142012.txt" #Interpolation model names
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infile5<-"mean_day244_rescaled.rst"
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inlistf<-"list_files_05032012.txt" #Stack of images containing the Covariates
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path<-"/home/parmentier/Data/IPLANT_project/data_Oregon_stations_07152012" #Jupiter LOCATION on Atlas for kriging
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#path<-"H:/Data/IPLANT_project/data_Oregon_stations" #Jupiter Location on XANDERS
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setwd(path)
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prop<-0.3 #Proportion of testing retained for validation
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seed_number<- 100 #Seed number for random sampling
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models<-7 #Number of kriging model
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out_prefix<-"_07202012_auto_krig1" #User defined output prefix
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source("krigingUK_function_07192012b.R")
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###STEP 1 DATA PREPARATION AND PROCESSING#####
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###Reading the station data and setting up for models' comparison
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filename<-sub(".shp","",infile1) #Removing the extension from file.
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ghcn<-readOGR(".", filename) #reading shapefile
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CRS<-proj4string(ghcn) #Storing projection information (ellipsoid, datum,etc.)
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mean_LST<- readGDAL(infile5) #Reading the whole raster in memory. This provides a grid for kriging
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proj4string(mean_LST)<-CRS #Assigning coordinate information to prediction grid.
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##Extracting the variables values from the raster files
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lines<-read.table(paste(path,"/",inlistf,sep=""), sep=" ") #Column 1 contains the names of raster files
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inlistvar<-lines[,1]
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inlistvar<-paste(path,"/",as.character(inlistvar),sep="")
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covar_names<-as.character(lines[,2]) #Column two contains short names for covaraites
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s_raster<- stack(inlistvar) #Creating a stack of raster images from the list of variables.
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layerNames(s_raster)<-covar_names #Assigning names to the raster layers
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projection(s_raster)<-CRS
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#stat_val<- extract(s_raster, ghcn3) #Extracting values from the raster stack for every point location in coords data frame.
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pos<-match("ASPECT",layerNames(s_raster)) #Find column with name "value"
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r1<-raster(s_raster,layer=pos) #Select layer from stack
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pos<-match("slope",layerNames(s_raster)) #Find column with name "value"
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r2<-raster(s_raster,layer=pos) #Select layer from stack
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N<-cos(r1*pi/180)
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E<-sin(r1*pi/180)
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Nw<-sin(r2*pi/180)*cos(r1*pi/180) #Adding a variable to the dataframe
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Ew<-sin(r2*pi/180)*sin(r1*pi/180) #Adding variable to the dataframe.
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#r<-stack(N,E,Nw,Ew)
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#rnames<-c("Northness","Eastness","Northness_w","Eastness_w")
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#layerNames(r)<-rnames
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#s_raster<-addLayer(s_raster, r)
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#s_sgdf<-as(s_raster,"SpatialGridDataFrame") #Conversion to spatial grid data frame
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xy<-coordinates(r1) #get x and y projected coordinates...
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xy_latlon<-project(xy, CRS, inv=TRUE) # find lat long for projected coordinats (or pixels...)
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tmp<-raster(xy_latlon) #, ncol=ncol(r1), nrow=nrow(r1))
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ncol(tmp)<-ncol(r1)
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nrow(tmp)<-nrow(r1)
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extent(tmp)<-extent(r1)
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projection(tmp)<-CRS
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tmp2<-tmp
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values(tmp)<-xy_latlon[,1]
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values(tmp2)<-xy_latlon[,2]
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r<-stack(N,E,Nw,Ew,tmp,tmp2)
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rnames<-c("Northness","Eastness","Northness_w","Eastness_w", "lon","lat")
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layerNames(r)<-rnames
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s_raster<-addLayer(s_raster, r)
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rm(r)
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### adding var
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ghcn = transform(ghcn,Northness = cos(ASPECT*pi/180)) #Adding a variable to the dataframe
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ghcn = transform(ghcn,Eastness = sin(ASPECT*pi/180)) #adding variable to the dataframe.
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ghcn = transform(ghcn,Northness_w = sin(slope*pi/180)*cos(ASPECT*pi/180)) #Adding a variable to the dataframe
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ghcn = transform(ghcn,Eastness_w = sin(slope*pi/180)*sin(ASPECT*pi/180)) #adding variable to the dataframe.
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#Remove NA for LC and CANHEIGHT
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ghcn$LC1[is.na(ghcn$LC1)]<-0
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ghcn$LC3[is.na(ghcn$LC3)]<-0
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ghcn$CANHEIGHT[is.na(ghcn$CANHEIGHT)]<-0
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dates <-readLines(paste(path,"/",infile2, sep=""))
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LST_dates <-readLines(paste(path,"/",infile3, sep=""))
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#models <-readLines(paste(path,"/",infile4, sep=""))
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#Model assessment: specific diagnostic/metrics for GAM
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results_AIC<- matrix(1,1,models+3)
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results_GCV<- matrix(1,1,models+3)
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results_DEV<- matrix(1,1,models+3)
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#results_RMSE_f<- matrix(1,length(models)+3)
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#Model assessment: general diagnostic/metrics
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results_RMSE <- matrix(1,1,models+3)
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results_MAE <- matrix(1,1,models+3)
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results_ME <- matrix(1,1,models+3) #There are 8+1 models
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results_R2 <- matrix(1,1,models+3) #Coef. of determination for the validation dataset
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results_RMSE_f<- matrix(1,1,models+3) #RMSE fit, RMSE for the training dataset
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results_MAE_f <- matrix(1,1,models+3)
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#Screening for bad values: value is tmax in this case
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#ghcn$value<-as.numeric(ghcn$value)
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ghcn_all<-ghcn
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ghcn_test<-subset(ghcn,ghcn$value>-150 & ghcn$value<400)
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ghcn_test2<-subset(ghcn_test,ghcn_test$ELEV_SRTM>0)
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ghcn<-ghcn_test2
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#coords<- ghcn[,c('x_OR83M','y_OR83M')]
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###CREATING SUBSETS BY INPUT DATES AND SAMPLING
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set.seed(seed_number) #Using a seed number allow results based on random number to be compared...
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ghcn.subsets <-lapply(dates, function(d) subset(ghcn, ghcn$date==as.numeric(d))) #Producing a list of data frame, one data frame per date.
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sampling<-vector("list",length(dates))
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for(i in 1:length(dates)){
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n<-nrow(ghcn.subsets[[i]])
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ns<-n-round(n*prop) #Create a sample from the data frame with 70% of the rows
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nv<-n-ns #create a sample for validation with prop of the rows
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ind.training <- sample(nrow(ghcn.subsets[[i]]), size=ns, replace=FALSE) #This selects the index position for 70% of the rows taken randomly
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ind.testing <- setdiff(1:nrow(ghcn.subsets[[i]]), ind.training)
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sampling[[i]]<-ind.training
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}
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kriging_mod<-mclapply(1:length(dates), runKriging, mc.cores = 8)#This is the end bracket from mclapply(...) statement
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#for(i in 1:length(dates)){ # start of the for loop #1
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#i<-3 #Date 10 is used to test kriging
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## Plotting and saving diagnostic measures
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accuracy_tab_fun<-function(i,f_list){
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tb<-f_list[[i]][[3]]
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return(tb)
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}
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tb<-kriging_mod[[1]][[3]][0,] #empty data frame with metric table structure that can be used in rbinding...
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tb_tmp<-kriging_mod #copy
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for (i in 1:length(tb_tmp)){
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tmp<-tb_tmp[[i]][[3]]
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tb<-rbind(tb,tmp)
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}
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rm(tb_tmp)
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for(i in 4:(models+3)){ # start of the for loop #1
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tb[,i]<-as.numeric(as.character(tb[,i]))
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}
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tb_RMSE<-subset(tb, metric=="RMSE")
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tb_MAE<-subset(tb,metric=="MAE")
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tb_ME<-subset(tb,metric=="ME")
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tb_R2<-subset(tb,metric=="R2")
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tb_RMSE_f<-subset(tb, metric=="RMSE_f")
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tb_MAE_f<-subset(tb,metric=="MAE_f")
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tb_diagnostic1<-rbind(tb_RMSE,tb_MAE,tb_ME,tb_R2)
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#tb_diagnostic2<-rbind(tb_,tb_MAE,tb_ME,tb_R2)
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mean_RMSE<-sapply(tb_RMSE[,4:(models+3)],mean)
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mean_MAE<-sapply(tb_MAE[,4:(models+3)],mean)
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mean_R2<-sapply(tb_R2[,4:(models+3)],mean)
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mean_ME<-sapply(tb_ME[,4:(models+3)],mean)
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mean_MAE_f<-sapply(tb_MAE[,4:(models+3)],mean)
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mean_RMSE_f<-sapply(tb_RMSE_f[,4:(models+3)],mean)
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write.table(tb_diagnostic1, file= paste(path,"/","results2_fusion_Assessment_measure1",out_prefix,".txt",sep=""), sep=",")
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write.table(tb, file= paste(path,"/","results2_fusion_Assessment_measure_all",out_prefix,".txt",sep=""), sep=",")
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save(kriging_mod,file= paste(path,"/","results2_fusion_Assessment_measure_all",out_prefix,".RData",sep=""))
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#### END OF SCRIPT #####
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