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global.R
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global.R
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# This is the global Rscript for this app
# function for checking libs
f_lib_check<-function(libs){
for (lib in libs ){
if(lib %in% rownames(installed.packages())){
}else{
install.packages(lib,repos='http://cran.us.r-project.org')
}
}
a<-lapply(libs, require, character.only = TRUE)
}
theme_ning<-function(size.axis=5,size.title=6){
theme_bw(base_family = "serif") %+replace%
theme(axis.title = element_text(face="bold", colour="black", size=size.title),
axis.text= element_text(angle=0, vjust=0.3, size=size.axis),
legend.title = element_text(colour="black", size=size.axis, face="bold"),
legend.text = element_text(colour="black", size = size.axis),
strip.text.x = element_text(size = size.axis,margin=margin(4, 2, 6, 2), face="bold"),
strip.text.y = element_text(size = size.axis,margin=margin(4, 2, 4, 6), face="bold",angle=-90),
legend.key.size=unit(1.2, "lines"),
legend.box.spacing=unit(1, "mm"),
strip.background = element_blank(),
plot.title = element_text(vjust = 2.5,hjust = 0.5,face="bold")
)
}
f_read_basin<-function(fname){
require(rgdal)
Basins<- readOGR(fname)
if (!"BasinID" %in% names(Basins)) Basins$BasinID<-c(1:length(Basins[,1]))
if (is.factor(Basins$BasinID)) Basins$BasinID<-as.integer(as.character(Basins$BasinID))
# Add latitude and longitude infor to the Basin
if(!"Latitude" %in% names(Basins)) {
# get the contral coordinates of each polygon
if(is.na(crs(Basins))) proj4string(Basins)<-CRS("+init=epsg:4326")
Basins_wgs<-spTransform(Basins,CRS("+init=epsg:4326"))
Basin_coords<-gCentroid(Basins_wgs, byid=TRUE)
rownames(Basin_coords@coords)<-Basins$BasinID
Basin_coords<-as.data.frame(Basin_coords)
Basins[["Latitude"]]=Basin_coords$y
Basins[["Longitude"]]=Basin_coords$x
# Get the area of each polygon
if (!is.projected(Basins)){
Basins_pro<-spTransform(Basins,CRS("+init=epsg:32648"))
Basins[["Area_m2"]]=round(gArea(Basins_pro,byid = T),2)
}else{
Basins[["Area_m2"]]=round(gArea(Basins,byid = T),2)
}
}
return(Basins)
}
## Paste one to one for two vectors, matrixes or arrays----
#' Paste by value one to one for two vectors, matrixes or arrays
#' @param x The first object, which can be vector, matrix or array.
#' @param y The second object, which can be vector, matrix or array.
#' @param sep The separate letter
#' @keywords paste
#' @export
#' @examples
#' x<-c(1,2,3)
#' y<-c("A","B","C")
#' f_paste(x,y,sep="-")
f_paste<-function(x,y,sep=""){
dimx<-dim(x)
if(is.null(dimx)){
sapply(c(1:length(x)),function(a) paste(x[a],y[a],sep=sep))
}else{
pas<-sapply(c(1:length(x)),function(a) paste(as.vector(x)[a],as.vector(y)[a],sep=sep))
if(length(dimx)==2){
matrix(pas,dimx)
}else{
array(pas,dimx)
}
}
}
f_sta_shp_nc_new<-function(ncfilename,basin,fun="mean",varname,zonal_field,yr.start,scale="1 month",weight=T,plot=T){
require(dplyr)
require(raster)
require(tidyr)
require(sp)
require(reshape2)
da<-brick(ncfilename)
if (!compareCRS(basin,da)) basin<-spTransform(basin,crs(da))
da<-crop(da,basin)
if(plot) {
plot(da[[1]],basin)
plot(basin,add=T)
}
beginCluster()
basin_r<-rasterize(basin,da[[1]],field=zonal_field)
endCluster()
dates<-seq(as.Date(paste0(yr.start,"-01-01")),by=scale,length.out = dim(da)[3])
da_matrix<-cbind(values(basin_r),values(da))
colnames(da_matrix)<-c("BasinID",as.character(dates))
da_sta<-da_matrix%>%
as.data.frame()%>%
filter(!is.na(BasinID))%>%
group_by(BasinID)%>%
summarise_all(.funs = fun,na.rm=T)
# Check whether it has missing HUCs
missing_indx<-which(!basin[[zonal_field]] %in% unique(da_sta$BasinID) )
if(length(missing_indx)>0){
shp<-basin[missing_indx,]
beginCluster()
b<-raster::extract(da,shp,df=T,fun=mean,na.rm=T,weight=T)
endCluster()
b[,1]<-shp[[zonal_field]]
colnames(b)<-c("BasinID",as.character(dates))
da_sta<-rbind(da_sta,b)
}
da_sta<-da_sta%>%
melt(id="BasinID")%>%
rename(Date=variable)%>%
mutate(Date=as.Date(Date))
names(da_sta)[3]<-varname
names(da_sta)[1]<-zonal_field
return(da_sta)
}
f_sta_shp_nc<-function(ncfilename,basin,fun="mean",varname,zonal_field,yr.start,scale="month",weight=T,plot=T){
require(dplyr)
require(raster)
require(tidyr)
require(sp)
da<-brick(ncfilename)
if (!compareCRS(basin,da)) basin<-spTransform(basin,crs(da))
da<-crop(da,basin)
#NAvalue(da)<- 0
if(plot) {
plot(da[[1]],basin)
plot(basin,add=T)
}
beginCluster()
if(fun=="mean" | fun=="Mean" | fun=="MEAN"){
ex <- raster::extract(da, basin, fun=mean, na.rm=TRUE, weights=weight)
}else{
ex <- raster::extract(da, basin, fun=sum, na.rm=TRUE)
}
endCluster()
if(scale=="month" | scale=="Month" | scale=="MONTH"){
dates<-seq(as.Date(paste0(yr.start,"-01-01")),by="1 month",length.out = dim(da)[3])
sta_catchment<-t(ex)%>%
round(digits = 3)%>%
as.data.frame()%>%
mutate(Year=as.integer(format(dates,"%Y")),
Month=as.integer(format(dates,"%m")))%>%
gather(BasinID,values,1:length(basin))%>%
mutate(BasinID=rep(basin[[zonal_field]],each=length(dates)))%>%
dplyr::select(BasinID,Year,Month,values)
names(sta_catchment)<-c(zonal_field,"Year","Month",varname)
}else if(scale=="annual" | scale=="Annual" | scale=="ANNUAL"){
dates<-seq(as.Date(paste0(yr.start,"-01-01")),by="1 year",length.out = dim(da)[3])
sta_catchment<-t(ex)%>%
round(digits = 3)%>%
as.data.frame()%>%
mutate(Year=as.integer(format(dates,"%Y")))%>%
gather(BasinID,values,1:length(basin))%>%
mutate(BasinID=rep(basin[[zonal_field]],each=length(dates)))%>%
dplyr::select(BasinID,Year,values)
names(sta_catchment)<-c(zonal_field,"Year",varname)
}else{
dates<-seq(as.Date(paste0(yr.start,"-01-01")),by="1 day",length.out = dim(da)[3])
sta_catchment<-t(ex)%>%
round(digits = 3)%>%
as.data.frame()%>%
mutate(Year=as.integer(format(dates,"%Y")),
Month=as.integer(format(dates,"%m")),
Day=as.integer(format(dates,"%d")))%>%
gather(BasinID,values,1:length(basin))%>%
mutate(BasinID=rep(basin[[zonal_field]],each=length(dates)))%>%
dplyr::select(BasinID,Year,Month,Day,values)
names(sta_catchment)<-c(zonal_field,"Year","Month","Day",varname)
}
sta_catchment
}
# this function is used for zonal LAI of each HRU in by a shp file
hru_lc_zonal<-function(classname,daname,shp,fun='mean',field=NULL,plot=T){
require(raster)
require(sp)
# read the class and data by their names
class<-raster(classname)
da<-brick(daname)
if(sum(res(da)==res(class))==2) crs(da)<-crs(class)
# crop data based on the input shp
if (!compareCRS(shp,da)) shp<-spTransform(shp,crs(da))
da<-crop(da,shp)
if (!compareCRS(shp,class)) shp<-spTransform(shp,crs(class))
class<-crop(class,shp)
# resample class data based on the input data (Their geo reference could be different)
#class<-projectRaster(class,da[[1]],method='ngb')
#da<-projectRaster(da,class,method='ngb')
# class<-raster::mask(class,shp)
# da<-raster::mask(da,shp)
shp@data[,field]<-as.character(shp@data[,field])
# get the number class and their percentage and plot some base map
print(raster::unique(class))
if(plot){
nclass<-raster::unique(class)
print("percentage for each lc")
print(round(table(matrix(class))/sum(table(matrix(class)))*100,2))
plot(class)
plot(da[[1]],add=T,alpha=0.5)
plot(shp,add=T)
}
# funtion for zonal each polygon
f_zonal<-function(i){
#print(i)
polygon1<-shp[i,]
class1<-crop(class,polygon1)
if (!compareCRS(polygon1,da)) polygon1<-spTransform(polygon1,crs(da))
da1<-crop(da,polygon1)
if (!compareCRS(polygon1,class1)) polygon1<-spTransform(polygon1,crs(class1))
polygon1<-spTransform(polygon1,crs(class1))
if(!sum(res(da1)==res(class1))==2){
beginCluster()
da1<-projectRaster(da1,class1,method='ngb')
endCluster()
}
if(!extent(class1)==extent(da1)) extent(class1)=extent(da1)
class1<-raster::mask(class1,polygon1)
da1<-raster::mask(da1,polygon1)
if(sum(unique(class1))<1){
da_zonal1<-NA
return(da_zonal1)
}else if(ncell(class1)==1){
da_zonal1<-data.frame("lai"=values(da1)[1,])
colnames(da_zonal1)<-paste0("Lc_",unique(class1))
return(da_zonal1)
}
da_zonal1<-zonal(da1, class1, fun)
if(nrow(da_zonal1)<2){
namesls<-paste0("Lc_",da_zonal1[,1])
da_zonal1<-data.frame(namesls=da_zonal1[1,-1])
colnames(da_zonal1)<-namesls
}else{
namesls<-paste0("Lc_",da_zonal1[,1])
da_zonal1<-t(da_zonal1[,-1])
colnames(da_zonal1)<-namesls
}
return(da_zonal1)
}
# Run sta
if(length(shp)>1){
da_zonal<- lapply(c(1:length(shp)), f_zonal)
names(da_zonal)<-shp@data[,field]
}else{
da_zonal<-zonal(da, class, fun)
namesls<-paste0("Lc_",da_zonal)
da_zonal<-t(da_zonal[,-1])
colnames(da_zonal)<-namesls
}
return(da_zonal)
}
hru_lc_ratio_new<-function(classname,shp,field=NULL){
library(raster)
require(sp)
class<-raster(classname)
if (!compareCRS(shp,class)) shp<-spTransform(shp,crs(class))
beginCluster()
shp_r<-rasterize(shp,class,field="BasinID")
endCluster()
class_ratio<-data.frame("BasinID"=values(shp_r),"Class"=values(class))%>%
filter(!is.na(BasinID))%>%
group_by(BasinID,Class)%>%
summarise(n=n())%>%
dcast(BasinID~Class)
names(class_ratio)<-c("BasinID",paste0("Lc_",names(class_ratio)[-1]))
class_ratio[is.na(class_ratio)]<-0
Sum_n<-apply(class_ratio[,-1], 1,sum)
for (i in c(2:ncol(class_ratio))) class_ratio[,i]<-round(class_ratio[,i]/Sum_n,3)
return(class_ratio)
}
hru_lc_ratio<-function(classname,shp,field=NULL,mcores=1){
library(raster)
require(sp)
class<-raster(classname)
if (!compareCRS(shp,class)) shp<-spTransform(shp,crs(class))
class<-crop(class,shp)
class<-mask(class,shp)
print(table(matrix(class)))
# zonal_for each polygon
f_zonal<-function(i,shp=shp,class=class){
polygon1<-shp[i,]
class1<-crop(class,polygon1)
class_ratio<-as.data.frame(table(matrix(class1))/sum(table(matrix(class1))))
names(class_ratio)<-c("Class","Ratio")
class_ratio$Ratio<-round(class_ratio$Ratio,3)
class_ratio$Count<-table(matrix(class1))
class_ratio[field]<-polygon1@data[field]
return(class_ratio)
}
# Run sta
if(length(shp)>1){
if(.Platform$OS.type=="windows"){
# cl<-makeCluster(mcores, type="SOCK")
# clusterExport(cl, c("shp","class","f_zonal"))
# result<-clusterApply(cl,c(1:length(shp)), f_zonal,shp=shp,class=class)
# stopCluster(cl)
lc_ratio<- lapply(c(1:length(shp)), f_zonal,shp=shp,class=class)
}else{
lc_ratio<- mclapply(c(1:length(shp)), f_zonal,shp=shp,class=class,mc.cores=mcores)
}
lc_ratio<-do.call(rbind,lc_ratio)
}else{
class_ratio<-as.data.frame(table(matrix(class))/sum(table(matrix(class))))
names(class_ratio)<-c("Class","Ratio")
class_ratio$Ratio<-round(class_ratio$Ratio,3)
class_ratio$Count<-table(matrix(class))
class_ratio[field]<-polygon1@data[field]
lc_ratio<-class_ratio
}
return(lc_ratio)
}
f_landlai_new<-function(lcfname,laifname,Basins,byfield,yr.start,scale="1 month"){
require(raster)
require(sp)
# read the class and data by their names
lcclass<-raster(lcfname)
da<-brick(laifname)
if(sum(res(da)==res(lcclass))==2) crs(da)<-crs(lcclass)
# crop data based on the input shp
if (!compareCRS(Basins,da)) Basins<-spTransform(Basins,crs(da))
da<-crop(da,Basins)
if (!compareCRS(Basins,lcclass)) shp<-spTransform(Basins,crs(lcclass))
lcclass<-crop(lcclass,Basins)
beginCluster()
Basins_r<-rasterize(Basins,lcclass,field=byfield)
endCluster()
da_matrix<-cbind(values(Basins_r),values(lcclass),values(da))
dates<-seq(as.Date(paste0(yr.start,"-01-01")),by=scale,length.out = dim(da)[3])
colnames(da_matrix)<-c("BasinID","Class",as.character(dates))
hru_lais<-da_matrix%>%
as.data.frame()%>%
filter(!is.na(BasinID))%>%
mutate(Class=paste0("Lc_",as.integer(as.character(Class))))%>%
group_by(BasinID,Class)%>%
summarise_all(.funs = "mean",na.rm=T)%>%
melt(id=c("BasinID","Class"))%>%
rename(Date=variable,LAI=value)%>%
mutate(Date=as.Date(Date))%>%
mutate(Year=as.integer(format(Date,"%Y")),
Month=as.integer(format(Date,"%m")))%>%
dplyr::select(BasinID,Year,Month,Class,LAI)%>%
dcast(BasinID+Year+Month~Class)%>%
arrange(BasinID,Year,Month)
hru_lais[is.na(hru_lais)]<-0
names(hru_lais)[1]<-byfield
return(hru_lais)
}
# this function is used for zonal LAI of each lc in the HRU
f_landlai<-function(lcfname,laifname,Basins,byfield,yr.start){
hru_lai<-hru_lc_zonal(classname = lcfname,
daname =laifname,
shp = Basins,
field = "BasinID")
lcs<-paste0("Lc_",unique(raster(lcfname)))
f_fillmatix<-function(a,lcs){
a<-round(a,3)
prel<-length(a[1,])+1
if(prel< length(lcs)+1){
lacks<-lcs[which(! lcs %in% colnames(a))]
for (i in c(1:length(lacks))) a<-cbind(a,lcadd=0)
colnames(a)[prel:length(a[1,])]<-lacks
a<-a[,lcs]
}
a
}
ha<-lapply(hru_lai, f_fillmatix,lcs)
hru_lais<-do.call(rbind,ha)
hru_lais<-cbind("BasinID"=rep(as.integer(names(hru_lai)),each=length(hru_lai[[1]][,1])),
"Year"=rep(c(as.integer(yr.start):(length(hru_lai[[1]][,1])/12+as.integer(yr.start)-1)),each=12),
"Month"=c(1:12),
hru_lais)
hru_lais<-as.data.frame(hru_lais)
hru_lais<-arrange(hru_lais,BasinID,Year,Month)
hru_lais[is.na(hru_lais)]<-0
return(hru_lais)
}
f_cellinfo<-function(classfname,Basins,byfield="BasinID",demfname=NULL){
require(tidyr)
require(dplyr)
require(raster)
# hru_lcs<-hru_lc_ratio(classname =classfname,
# shp = Basins,
# field = byfield)%>%
# mutate(Class=paste0("Lc_",Class))%>%
# dplyr::select(-Count)%>%
# spread(Class, Ratio,fill=0)
hru_lcs<-hru_lc_ratio_new(classname =classfname,
shp = Basins,
field = byfield)
print("getting elevation for each HUC")
if(!"Elev_m" %in% names(Basins) & !is.null(demfname)){
dem<-raster(demfname)
# beginCluster()
# .a<-raster::extract(dem,Basins,df=T,fun=mean,na.rm=T,weight=T)
# endCluster()
#
if (!compareCRS(Basins,dem)) Basins<-spTransform(Basins,crs(dem))
beginCluster()
Basins_r<-rasterize(Basins,dem,field=byfield)
endCluster()
.a<-data.frame("BasinID"=values(Basins_r),"Elev_m"=values(dem))%>%
filter(!is.na(BasinID))%>%
group_by(BasinID)%>%
summarise(Elev_m=mean(Elev_m,na.rm=T))
# Check whether it has missing HUCs
missing_indx<-which(!Basins$BasinID %in% .a$BasinID)
if(length(missing_indx)>0){
shp<-Basins[missing_indx,]
beginCluster()
.b<-raster::extract(dem,shp,df=T,fun=mean,na.rm=T,weight=T)
endCluster()
.b[,1]<-shp[[byfield]]
names(.b)<-c("BasinID","Elev_m")
.a<-rbind(.a,.b)
}
names(.a)[1]<-byfield
Basins<-merge(Basins,.a,by=byfield)
Basins$Elev_m<-round(Basins$Elev_m,2)
}
cellinfo<-Basins@data%>%
dplyr::select(one_of(c(byfield,"Area_m2","Latitude","Longitude","Elev_m","Flwlen_m")))%>%
arrange(get(byfield))%>%
mutate(Area_m2=round(Area_m2,1))%>%
# mutate(Elev_m=round(Elev_m,1))%>%
mutate(Latitude=round(Latitude,3))%>%
mutate(Longitude=round(Longitude,3))%>%
merge(hru_lcs,by=byfield)
if("Elev_m" %in% names(cellinfo)) cellinfo[["Elev_m"]]<-round(cellinfo[["Elev_m"]],1)
return(cellinfo)
}
hru_lc_imp<-function(impname,classname,shp,byfield=NULL){
library(raster)
require(sp)
class<-raster(classname)
imp<-raster(impname)
if (!compareCRS(shp,class)) shp<-spTransform(shp,crs(class))
class<-crop(class,shp)
beginCluster()
imp<- projectRaster(imp,class)
shp_r<-rasterize(shp,class,field=byfield)
endCluster()
lc_imp<-data.frame("BasinID"=values(shp_r),"Class"=values(class),imp=values(imp))%>%
filter(!is.na(BasinID))%>%
group_by(BasinID,Class)%>%
summarise(imp=mean(imp,na.rm=T))%>%
dcast(BasinID~Class)
names(lc_imp)<-c(byfield,paste0("Lc_",names(lc_imp)[-1]))
lc_imp[is.na(lc_imp)]<-0
return(lc_imp)
}
f_soilinfo<-function(soilfname,Basins){
SOIL<-brick(soilfname)
Basins<-spTransform(Basins,crs(SOIL))
SOIL_catchment<-raster::extract(SOIL,Basins,fun=mean,na.rm=T,weights=T)
# fill NA values
SOIL_catchment[is.infinite(SOIL_catchment)]<-NA
SOIL_catchment[is.na(SOIL_catchment)]<-0
SOIL_catchment<-round(SOIL_catchment,4)
colnames(SOIL_catchment)<-c("uztwm", "uzfwm" , "uzk", "zperc" , "rexp" , "lztwm" , "lzfsm",
"lzfpm", "lzsk" , "lzpk" , "pfree")
SOIL_catchment<-as.data.frame(cbind(BasinID=Basins$BasinID,SOIL_catchment))
return(SOIL_catchment)
}
f_crop_roi<-function(da,roi_shp,plot=T){
if (!compareCRS(roi_shp,da)) roi_shp<-spTransform(roi_shp,crs(da))
da<-crop(da,roi_shp)
da<-mask(da,roi_shp)
if(plot) plot(da[[1]]);plot(roi_shp,add=T)
return(da)
}
multiplot <- function(..., plotlist=NULL, file, cols=1, layout=NULL) {
require(grid)
plots <- c(list(...), plotlist)
numPlots = length(plots)
if (is.null(layout)) {
layout <- matrix(seq(1, cols * ceiling(numPlots/cols)),
ncol = cols, nrow = ceiling(numPlots/cols))
}
if (numPlots==1) {
print(plots[[1]])
} else {
grid.newpage()
pushViewport(viewport(layout = grid.layout(nrow(layout), ncol(layout))))
for (i in 1:numPlots) {
matchidx <- as.data.frame(which(layout == i, arr.ind = TRUE))
print(plots[[i]], vp = viewport(layout.pos.row = matchidx$row,
layout.pos.col = matchidx$col))
}
}
}
f_stream_level_pete<-function(streamfile=NA,mc_cores=1){
stream<-read.csv(streamfile)
stream_level<-stream[c("FROM","TO")]
stream_level$LEVEL<-NA
lev<-1
for (i in c(1:500)){
if(lev==1){
index_lev_down<-which(!stream_level$TO %in% stream_level$FROM)
stream_level$LEVEL[index_lev_down]<-lev
lev<-lev+1
}
index_lev_up<-which(stream_level$TO %in% stream_level$FROM[index_lev_down])
stream_level$LEVEL[index_lev_up]<-lev
index_lev_down<-index_lev_up
lev<-lev+1
}
return(stream_level)
}
f_upstreamHUCs<-function(BasinID,routpar){
level_to<-routpar$LEVEL[routpar$TO==BasinID]
upids<-NA
To<-BasinID
if(length(level_to)>0){
while (length(level_to)>0){
FROM_HUCs<-routpar$FROM[routpar$TO %in% To]
upids<-c(upids,FROM_HUCs)
To<-routpar$FROM[routpar$TO %in% To]
level_to<-routpar$LEVEL[routpar$TO %in% To]
}
return(upids[-1])
}else{
return(NULL)
}
}
hrurouting<-function(Flwdata,routpar,mc_cores=1){
library(parallel)
max_level<-max(routpar$LEVEL)
hru_accm<-function(hru,water,routpar){
hru<-as.numeric(hru)
water$flow[water$BasinID==hru] +sum(water$flow[water$BasinID %in% routpar$FROM[which(routpar$TO==hru)]])
}
Flwdata$flow<-Flwdata$flwTot
for (level in c(max_level:1)){
hrus<-unique(routpar$TO[routpar$LEVEL==level])
#print(paste0("There are ",length(hrus)," hrus in level ",level))
if(length(hrus)>100) {
flowaccu<-mclapply(hrus,hru_accm,water=Flwdata,routpar=routpar,mc.cores = mc_cores)
}else{
flowaccu<-lapply(hrus,hru_accm,water=Flwdata,routpar=routpar)
}
for (i in c(1:length(hrus))) Flwdata$flow[Flwdata$BasinID==hrus[i]]<- flowaccu[[i]]
}
return(Flwdata$flow)
}
#' This function allows you to get the number of days for a specific month.
#' @param date A date object.
#' @keywords cats
#' @export
#' @examples
#' date<-as.Date("2001-01-01")
#' numberOfDays(date)
numberOfDays <- function(date) {
m <- format(date, format="%m")
while (format(date, format="%m") == m) {
date <- date + 1
}
return(as.integer(format(date - 1, format="%d")))
}
# Hamon Potential Evapotranspiration Equation----
#' @title Hamon Potential Evapotranspiration Equation
#' @description The Hamon method is also considered as one of the simplest estimates
#' of potential Evapotranspiration.
#' @param par proportionality coefficient (unitless)
#' @param tavg vector of mean daily temperature (deg C)
#' @param lat latitude ()
#' @param jdate a day number of the year (julian day of the year)
#' @return outputs potential evapotranspiration (mm day-1)
#' @details For details see Haith and Shoemaker (1987)
#' @examples
#' \dontrun{
#' if(interactive()){
#' #EXAMPLE1deg
#' }
#' }
#' @rdname hamon
#' @export
hamon <- function(par, tavg, lat, jdate) {
var_theta <- 0.2163108 + 2 * atan(0.9671396 * tan(0.0086 * (jdate - 186)))
var_pi <- asin(0.39795 * cos(var_theta))
daylighthr <- 24 - 24/pi * acos((sin(0.8333 * pi/180) + sin(lat * pi/180) * sin(var_pi))/(cos(lat *
pi/180) * cos(var_pi)))
esat <- 0.611 * exp(17.27 * tavg/(237.3 + tavg))
return(par * 29.8 * daylighthr * (esat/(tavg + 273.2)))
}
#' @title Sacremento Soil Moisture Accounting Model SAC-SMA
#' @description revised based on sacsmaR package
#' @param par model parameters (11 soil parameters)
#' @param ini.states initial parameters
#' @param prcp daily precipitation data
#' @param pet potential evapotranspiration, in mm
#' @return OUTPUT_DESCRIPTION
#' @details DETAILS
#' @examples
#' \dontrun{
#' sacSma_mon(pet, prcp,par)
#' }
#' @rdname sacSim_mon
#' @export
sacSma_mon <- function(pet, prcp,par,ini.states = c(0,0,500,500,500,0)) {
if(sum(names(par) %in% c("UZTWM","UZFWM","UZK", "ZPERC", "REXP", "LZTWM", "LZFSM", "LZFPM", "LZSK", "LZPK", "PFREE"))==11){
uztwm <- par["UZTWM"] # Upper zone tension water capacity [mm]
uzfwm <- par["UZFWM"] # Upper zone free water capacity [mm]
lztwm <- par["LZTWM"] # Lower zone tension water capacity [mm]
lzfpm <- par["LZFPM"] # Lower zone primary free water capacity [mm]
lzfsm <- par["LZFSM"] # Lower zone supplementary free water capacity [mm]
uzk <- par["UZK"] # Upper zone free water lateral depletion rate [1/day]
lzpk <- par["LZPK"] # Lower zone primary free water depletion rate [1/day]
lzsk <- par["LZSK"] # Lower zone supplementary free water depletion rate [1/day]
zperc <- par["ZPERC"] # Percolation demand scale parameter [-]
rexp <- par["REXP"] # Percolation demand shape parameter [-]
pfree <- par["PFREE"] # Percolating water split parameter (decimal fraction)
pctim <- 0 # par[12] # Impervious fraction of the watershed area (decimal fraction)
adimp <- 0 # par[13] # Additional impervious areas (decimal fraction)
riva <- 0 # par[14] # Riparian vegetation area (decimal fraction)
side <- 0 # par[15] # The ratio of deep recharge to channel base flow [-]
rserv <- 0 #par[16] # Fraction of lower zone free water not transferrable (decimal fraction)
}else{
print("Input soil parameter is missing")
}
# Initial Storage States (SAC-SMA)
uztwc <- uztwm # Upper zone tension water storage
uzfwc <- 1.0 # Upper zone free water storage
lztwc <- lztwm # Lower zone tension water storage
lzfsc <- lzfsm*0.75 # Lower zone supplementary free water storage
lzfpc <- lzfpm*0.75 # Upper zone primary free water storage
adimc <- 0 # Additional impervious area storage
# CONVERT FLOW RATES IN UNITS OF 1/D TO MONTHLY RATES
# uzk=uzk*30
# lzpk=lzpk*30
# lzsk=lzsk*30
# RESERVOIR STATE ARRAY INITIALIZATION
simaet <- vector(mode = "numeric", length = length(prcp))
simflow <- vector(mode = "numeric", length = length(prcp))
base_tot <- vector(mode = "numeric", length = length(prcp))
surf_tot <- vector(mode = "numeric", length = length(prcp))
uztwc_ts <- vector(mode = "numeric", length = length(prcp))
uzfwc_ts <- vector(mode = "numeric", length = length(prcp))
lztwc_ts <- vector(mode = "numeric", length = length(prcp))
lzfpc_ts <- vector(mode = "numeric", length = length(prcp))
lzfsc_ts <- vector(mode = "numeric", length = length(prcp))
thres_zero <- 0.00001 # Threshold to be considered as zero
parea <- 1 - adimp - pctim
for (i in 1:length(prcp)) {
### Set input precipitation and potential evapotranspiration
pr = prcp[i] # This could be effective rainfall, a sum of rainfall and snowmelt
edmnd = pet[i]
## Compute for different compnents...
# ET(1), ET from Upper zone tension water storage
et1 <- edmnd * uztwc/uztwm
red <- edmnd - et1 # residual ET demand
uztwc <- uztwc - et1
# ET(2), ET from upper zone free water storage
et2 <- 0
#print(paste0("I=",i," uztwm= ",uztwm," uztwc= ",uztwc," et1= ", et1, " pr= ",pr," pet= ",edmnd))
# in case et1 > uztws, no water in the upper tension water storage
if (uztwc <= 0) {
et1 <- et1 + uztwc #et1 = uztwc
uztwc <- 0
red <- edmnd - et1
# when upper zone free water content is less than residual ET
if (uzfwc < red) {
# all content at upper zone free water zone will be gone as ET
et2 <- uzfwc
uzfwc <- 0
red <- red - et2
if (uztwc < thres_zero) uztwc <- 0
if (uzfwc < thres_zero) uzfwc <- 0
# when upper zone free water content is more than residual ET
} else {
et2 <- red # all residual ET will be gone as ET
uzfwc <- uzfwc - et2
red <- 0
}
# in case et1 <= uztws, all maximum et (et1) are consumed at uztwc,
# so no et from uzfwc (et2=0)
} else {
# There's possibility that upper zone free water ratio exceeds
#upper zone tension water ratio. If so, free water is transferred to
#tension water storage
if((uztwc / uztwm) < (uzfwc / uzfwm)) {
uzrat = (uztwc + uzfwc) / (uztwm + uzfwm)
uztwc = uztwm * uzrat
uzfwc = uzfwm * uzrat
}
if(uztwc < thres_zero) uztwc = 0
if(uzfwc < thres_zero) uzfwc = 0
}
# ET(3), ET from Lower zone tension water storage when residual ET > 0
et3 <- red * lztwc / (uztwm + lztwm) #residual ET is always bigger than ET(3)
lztwc <- lztwc - et3
# if lztwc is less than zero, et3 cannot exceed lztws
if(lztwc < 0) {
et3 <- et3 + lztwc # et3 = lztwc
lztwc <- 0
}
# Water resupply from Lower free water storages to Lower tension water storage
saved <- rserv * (lzfpm + lzfsm)
ratlzt <- lztwc / lztwm
ratlz <- (lztwc + lzfpc + lzfsc - saved) / (lztwm + lzfpm + lzfsm - saved)
# water is first taken from supplementary water storage for resupply
if (ratlzt < ratlz) {
del <- (ratlz - ratlzt) * lztwm
lztwc <- lztwc + del # Transfer water from lzfss to lztws
lzfsc <- lzfsc - del
# if tranfer exceeds lzfsc then remainder comes from lzfps
if(lzfsc < 0) {
lzfpc <- lzfpc + lzfsc
lzfsc <- 0
}
}
if(lztwc < thres_zero) {lztwc <- 0}
# Comment for additional imprevious ET
# # ET(5), ET from additional impervious (ADIMP) area
# # ????? no idea where this come from, I think there's a possibility that et5 can be negative values
et5 <- et1 + (red + et2) * (adimc - et1 - uztwc) / (uztwm + lztwm)
adimc <- adimc - et5
if(adimc < 0) {
#et5 cannot exceed adimc
et5 <- et5 + adimc # et5 = adimc
adimc <- 0
}
et5 <- et5 * adimp
# Time interval available moisture in excess of uztw requirements
twx <- pr + uztwc - uztwm
# all moisture held in uztw- no excess
if(twx < 0) {
uztwc <- uztwc + pr
twx <- 0
# moisture available in excess of uztw storage
} else {
uztwc = uztwm
}
#
# for now twx is excess rainfall after filling the uztwc
#
adimc <- adimc + pr - twx
# Compute Impervious Area Runoff
roimp <- pr * pctim
# Initialize time interval sums
sbf <- 0 # Sum of total baseflow(from primary and supplemental storages)
ssur <- 0 # Sum of surface runoff
sif <- 0 # Sum of interflow
sperc <- 0 # Time interval summation of percolation
sdro <- 0 # Sum of direct runoff from the additional impervious area
# Determine computational time increments for the basic time interval
ninc <- floor(1.0 + 0.2*(uzfwc+twx)) # Number of time increments that interval is divided into for further soil-moisture accountng
dinc <- 1.0 / ninc # Length of each increment in days
pinc <- twx / ninc # Amount of available moisture for each increment
# Compute free water depletion fractions for the time increment
#(basic depletions are for one day)
duz <- 1 - (1 - uzk)^dinc
dlzp <- 1 - (1 - lzpk)^dinc
dlzs <- 1 - (1 - lzsk)^dinc
# This is the version of Peter's
# duz <- uzk*dinc
# dlzp <- lzpk*dinc
# dlzs <- lzsk*dinc
#print(paste0("ninc=", str(ninc)))
# Start incremental for-loop for the time interval
for (n in 1:ninc){
adsur <- 0 # Amount of surface runoff. This will be updated.
excess<- 0 # the excess of LZ soil water capacity
# Compute direct runoff from adimp area
ratio <- (adimc - uztwc) / lztwm
if(ratio < 0) ratio <- 0
# Amount of direct runoff from the additional impervious area
addro <- pinc*(ratio^2)
# Compute baseflow and keep track of time interval sum
# Baseflow from free water primary storage
bf_p <- lzfpc * dlzp
lzfpc <- lzfpc - bf_p
if(lzfpc <= 0.0001) {
bf_p <- bf_p + lzfpc
lzfpc <- 0
}
sbf <- sbf + bf_p
spbf<- sbf + bf_p
# Baseflow from free water supplemental storage
bf_s <- lzfsc * dlzs
lzfsc <- lzfsc - bf_s
if (lzfsc <= 0.0001) {
bf_s <- bf_s + lzfsc
lzfsc <- 0
}
# Total Baseflow from primary and supplemental storages
sbf <- sbf + bf_s
# Compute PERCOLATION- if no water available then skip.
if((pinc + uzfwc) <= 0.01) {
uzfwc <- uzfwc + pinc
} else {
# Limiting drainage rate from the combined saturated lower zone storages
percm <- lzfpm * dlzp + lzfsm * dlzs
perc <- percm * uzfwc / uzfwm
# DEFR is the lower zone moisture deficiency ratio
defr <- 1.0 - (lztwc + lzfpc + lzfsc)/(lztwm + lzfpm + lzfsm)
if(defr < 0) {defr <- 0}
perc <- perc * (1.0 + zperc * (defr^rexp))
# Note. . . percolation occurs from uzfws before pav is added
# Percolation rate exceeds uzfws
if(perc >= uzfwc) {perc <- uzfwc}
uzfwc <- uzfwc - perc # Percolation rate is less than uzfws.
# Check to see if percolation exceeds lower zone deficiency.
check <- lztwc + lzfpc + lzfsc + perc - lztwm - lzfpm - lzfsm
if(check > 0) {
perc <- perc - check
uzfwc <- uzfwc + check
}
# SPERC is the time interval summation of PERC
sperc <- sperc + perc
# Compute interflow and keep track of time interval sum. Note that PINC has not yet been added.
del <- uzfwc * duz # The amount of interflow
## Check whether interflow is larger than uzfwc
if (del > uzfwc) {
del<-uzfwc
uzfwc<-0.0
}else{
uzfwc <- uzfwc - del
}
sif <- sif + del
# Distribute percolated water into the lower zones. Tension water
# must be filled first except for the PFREE area. PERCT is
# percolation to tension water and PERCF is percolation going to
# free water.
perct <- perc * (1.0 - pfree) # Percolation going to the tension water storage
if((perct + lztwc) <= lztwm) {
lztwc <- lztwc + perct
percf <- 0 # Pecolation going to th lower zone free water storages
} else {