R/pbiasfdc.R

In hydroGOF: Goodness-of-Fit Functions for Comparison of Simulated and Observed Hydrological Time Series

# File pbiasfdc.R
# Part of the hydroGOF R package, https://github.com/hzambran/hydroGOF
#                                 https://cran.r-project.org/package=hydroGOF
#                                 http://www.rforge.net/hydroGOF/ ;
# Copyright 2010-2023 Mauricio Zambrano-Bigiarini
# Distributed under GPL 2 or later

################################################################################
# 'pbiasfdc': PBIAS in the slope of the midsegment of the Flow Duration Curve  #
################################################################################
# Author: Mauricio Zambrano-Bigiarini                                          #
################################################################################
# Started: 03-Feb-2010                                                         #
################################################################################
# Updates: 15-Apr-2013                                                         #
#          16-Jan-2023                                                         #
#          08-May-2024                                                         #
################################################################################
# 'obs'   : numeric 'data.frame', 'matrix' or 'vector' with observed values
# 'sim'   : numeric 'data.frame', 'matrix' or 'vector' with simulated values
# 'lQ.thr': numeric, used to classify low flows. All the streamflows with a probaility of exceedence larger or equal to 'lQ.thr' are classified as low flows
# 'hQ.thr': numeric, used to classify high flows. All the streamflows with a probaility of exceedence lower or equal to 'hQ.thr' are classified as high flows
# 'plot'  : a logical value indicating if the flow duration curves corresponding to 'obs' and 'sim' have to be  plotted or not.

# 'Result': Percent Bias in the slope of the midsegment of the flow duration curve [%]
#           It measures the vertical soil moisture redistribution

# Ref:  Yilmaz, K. K., H. V. Gupta, and T. Wagener  (2008), 
#       A process-based diagnostic approach to model evaluation: 
#       Application to the NWS distributed hydrologic model, 
#       Water Resour. Res., 44, W09417, doi:10.1029/2007WR006716.


pbiasfdc <-function(sim, obs, ...) UseMethod("pbiasfdc")

pbiasfdc.default <- function(sim, obs, lQ.thr=0.6, hQ.thr=0.1, na.rm=TRUE, 
                             plot=TRUE, verbose=FALSE, fun=NULL, ...,
                             epsilon.type=c("none", "Pushpalatha2012", "otherFactor", "otherValue"), 
                             epsilon.value=NA){

   # Returns the position in the vector 'x' where the scalar 'Q' is located
   Qposition <- function(x, Q) {     
     Q.dist  <- abs(x - Q)
     Q.index <- which.min( Q.dist ) 
     return(Q.index)       
   } # end

  epsilon.type <- match.arg(epsilon.type)  

  # index of those elements that are present both in 'sim' and 'obs' (NON- NA values)
  vi <- valindex(sim, obs)
   
  if (length(vi) > 0) {	 
    # Filtering 'obs' and 'sim', selecting only those pairs of elements 
    # that are present both in 'x' and 'y' (NON- NA values)
    obs <- obs[vi]
    sim <- sim[vi]

    if (!is.null(fun)) {
      fun1 <- match.fun(fun)
      new  <- preproc(sim=sim, obs=obs, fun=fun1, ..., 
                      epsilon.type=epsilon.type, epsilon.value=epsilon.value)
      sim  <- new[["sim"]]
      obs  <- new[["obs"]]
    } # IF end   


     		      
    # Computing the FDC for simulations and observations
    obs.fdc <- fdc(obs, plot=FALSE) # hydroTSM::fdc
    sim.fdc <- fdc(sim, plot=FALSE) # hydroTSM::fdc
     
    # Finding the flow value corresponding to the 'lQ.thr' pbb of excedence
    obs.lQ <- obs[Qposition(obs.fdc, lQ.thr)]
    obs.hQ <- obs[Qposition(obs.fdc, hQ.thr)]
     
    sim.lQ <- sim[Qposition(sim.fdc, lQ.thr)]
    sim.hQ <- sim[Qposition(sim.fdc, hQ.thr)]     
     
    denominator <- ( log(obs.hQ) -  log(obs.lQ) )
     
    if ( (denominator > 0) & (!is.na(denominator)) ) {      
      pbiasfdc <- 100 * ( ( ( log(sim.hQ) -  log(sim.lQ) ) / denominator ) - 1 )
    } else {
         pbiasfdc <- NA 
         warning("'log(obs.hQ) -  log(obs.lQ) = 0' => it is not possible to compute 'pbiasfdc' !") 
      } 
   } else {
       pbiasfdc <- NA
       warning("There are no pairs of 'sim' and 'obs' without missing values !")
     } # ELSE end
     
   if (plot) {
     tmp <- as.matrix(cbind(obs, sim))
     fdc(tmp, lQ.thr=lQ.thr, hQ.thr=hQ.thr, verbose=verbose, ...)
     legend("bottomleft", legend=paste("BiasFDCms=", round(pbiasfdc,1), "%", sep=""), bty="n")
   } # IF end 
     
   return( pbiasfdc )
     
} # 'pbiasfdc.default' end
  
  

################################################################################
# 'pbiasfdc': PBIAS in the slope of the midsegment of the Flow Duration Curve  #
################################################################################
# Author: Mauricio Zambrano-Bigiarini                                          #
################################################################################
# Started: 03-Feb-2010                                                         #
################################################################################
# Updates: 15-Apr-2013                                                         #
#          16-Jan-2023                                                         #
#          08-May-2024                                                         #
################################################################################
pbiasfdc.matrix <- function(sim, obs, lQ.thr=0.6, hQ.thr=0.1, na.rm=TRUE, 
                            plot=TRUE, verbose=FALSE, fun=NULL, ...,
                            epsilon.type=c("none", "Pushpalatha2012", "otherFactor", "otherValue"), 
                            epsilon.value=NA){

    # Checking that 'sim' and 'obs' have the same dimensions
    if ( all.equal(dim(sim), dim(obs)) != TRUE )
    stop( paste("Invalid argument: dim(sim) != dim(obs) ( [", 
          paste(dim(sim), collapse=" "), "] != [", 
          paste(dim(obs), collapse=" "), "] )", sep="") )

    pbiasfdc <- rep(NA, ncol(obs))       
          
    pbiasfdc <- sapply(1:ncol(obs), function(i,x,y) { 
                 pbiasfdc[i] <- pbiasfdc.default( x[,i], y[,i], lQ.thr=lQ.thr, hQ.thr=hQ.thr, 
                                                  na.rm=na.rm, plot=plot, verbose=verbose,
                                                  fun=fun, ..., 
                                                  epsilon.type=epsilon.type,  
                                                  epsilon.value=epsilon.value)
            }, x=sim, y=obs )            
           
    return(pbiasfdc)  
     
} # 'pbiasfdc.matrix' end
  


################################################################################
# 'pbiasfdc': PBIAS in the slope of the midsegment of the Flow Duration Curve  #
################################################################################
# Author: Mauricio Zambrano-Bigiarini                                          #
################################################################################
# Started: 03-Feb-2010                                                         #
################################################################################
# Updates: 15-Apr-2013                                                         #
#          16-Jan-2023                                                         #
#          08-May-2024                                                         #
################################################################################
pbiasfdc.data.frame <- function(sim, obs, lQ.thr=0.6, hQ.thr=0.1, na.rm=TRUE, 
                                plot=TRUE, verbose=FALSE, fun=NULL, ...,
                                epsilon.type=c("none", "Pushpalatha2012", "otherFactor", "otherValue"), 
                                epsilon.value=NA){ 
 
  sim <- as.matrix(sim)
  obs <- as.matrix(obs)
   
  pbiasfdc.matrix(sim, obs, lQ.thr=lQ.thr, hQ.thr=hQ.thr, na.rm=na.rm, plot=plot, verbose=verbose,
                  fun=fun, ..., epsilon.type=epsilon.type, epsilon.value=epsilon.value)
     
} # 'pbiasfdc.data.frame' end 




################################################################################
# 'pbiasfdc': PBIAS in the slope of the midsegment of the Flow Duration Curve  #
################################################################################
# Author: Mauricio Zambrano-Bigiarini                                          #
################################################################################
# Started: 03-Feb-2010                                                         #
################################################################################
# Updates: 15-Apr-2013                                                         #
#          16-Jan-2023                                                         #
################################################################################
################################################################################
# Author: Mauricio Zambrano-Bigiarini                                          #
################################################################################
# Started: 22-Mar-2013                                                         #
# Updates: 08-May-2024                                                         #
################################################################################
pbiasfdc.zoo <- function(sim, obs, lQ.thr=0.6, hQ.thr=0.1, na.rm=TRUE, 
                         plot=TRUE, verbose=FALSE, fun=NULL, ...,
                         epsilon.type=c("none", "Pushpalatha2012", "otherFactor", "otherValue"), 
                         epsilon.value=NA){
    
    sim <- zoo::coredata(sim)
    if (is.zoo(obs)) obs <- zoo::coredata(obs)
    
    if (is.matrix(sim) | is.data.frame(sim)) {
       pbiasfdc.matrix(sim, obs, lQ.thr=lQ.thr, hQ.thr=hQ.thr, na.rm=na.rm, plot=FALSE, verbose=verbose,
                       fun=fun, ..., epsilon.type=epsilon.type, epsilon.value=epsilon.value)
    } else NextMethod(sim, obs, lQ.thr=lQ.thr, hQ.thr=hQ.thr, na.rm=na.rm, plot=plot, verbose=verbose,
                      fun=fun, ..., epsilon.type=epsilon.type, epsilon.value=epsilon.value)
     
} # 'pbiasfdc.zoo' end