# File ubRMSE.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 2024-2024 Mauricio Zambrano-Bigiarini
# Distributed under GPL 2 or later
################################################################################
# 'ubRMSE': Unbiased Root Mean Square Error #
################################################################################
# Author : Mauricio Zambrano-Bigiarini #
################################################################################
# Started: 18-Jan-2024 #
# Updates: #
################################################################################
# The optimal value of ubRMSE is 0
# ubRMSE vaies int he followign range:
#
# | sigma_sim - sigma_obs | <= ubRMSE <= sqrt( sigma_sim^2 + sigma_obs^2)
# where:
#
# -) sigma_sim: standard deviation of simulated values
# -) sigma_obs: standard deviation of observed values
# Ref:
# Entekhabi, D., Reichle, R. H., Koster, R. D., & Crow, W. T. (2010).
# Performance metrics for soil moisture retrievals and application requirements.
# Journal of Hydrometeorology, 11(3), 832-840. doi: 10.1175/2010JHM1223.1
# 'obs' : numeric 'data.frame', 'matrix' or 'vector' with observed values
# 'sim' : numeric 'data.frame', 'matrix' or 'vector' with simulated values
# 'Result': Root Mean Square Error between 'sim' and 'obs', in the same units of 'sim' and 'obs'
ubRMSE <-function(sim, obs, ...) UseMethod("ubRMSE")
ubRMSE.default <- function(sim, obs, na.rm=TRUE,
fun=NULL, ...,
epsilon.type=c("none", "Pushpalatha2012", "otherFactor", "otherValue"),
epsilon.value=NA) {
if ( is.na(match(class(sim), c("integer", "numeric", "ts", "zoo"))) |
is.na(match(class(obs), c("integer", "numeric", "ts", "zoo")))
) stop("Invalid argument type: 'sim' & 'obs' have to be of class: c('integer', 'numeric', 'ts', 'zoo')")
if ( length(obs) != length(sim) )
stop("Invalid argument: 'sim' & 'obs' doesn't have the same length !")
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
RMSE <- sqrt( mean( (sim - obs)^2, na.rm = na.rm) )
BIAS <- mean(sim - obs, na.rm = na.rm)
ubRMSE <- sqrt(RMSE^2 - BIAS^2)
} else {
ubRMSE <- NA
warning("There are no pairs of 'sim' and 'obs' without missing values !")
} # ELSE end
return(ubRMSE)
} # 'ubRMSE.default' end
ubRMSE.matrix <- function(sim, obs, na.rm=TRUE,
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="") )
ubRMSE <- rep(NA, ncol(obs))
ubRMSE <- sapply(1:ncol(obs), function(i,x,y) {
ubRMSE[i] <- rmse.default( x[,i], y[,i], na.rm=na.rm, fun=fun, ...,
epsilon.type=epsilon.type, epsilon.value=epsilon.value)
}, x=sim, y=obs )
names(ubRMSE) <- colnames(obs)
return(ubRMSE)
} # 'ubRMSE.matrix' end
ubRMSE.data.frame <- function(sim, obs, na.rm=TRUE,
fun=NULL, ...,
epsilon.type=c("none", "Pushpalatha2012", "otherFactor", "otherValue"),
epsilon.value=NA) {
# Checking 'epsilon.type'
epsilon.type <- match.arg(epsilon.type)
sim <- as.matrix(sim)
obs <- as.matrix(obs)
ubRMSE.matrix(sim, obs, na.rm=na.rm, fun=fun, ...,
epsilon.type=epsilon.type, epsilon.value=epsilon.value)
return(ubRMSE)
} # 'ubRMSE.data.frame' end
################################################################################
# Author: Mauricio Zambrano-Bigiarini #
################################################################################
# Started: 22-Mar-2013 #
# Updates: 18-Jan-2024 #
################################################################################
ubRMSE.zoo <- function(sim, obs, na.rm=TRUE,
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)) {
ubRMSE.matrix(sim, obs, na.rm=na.rm, fun=fun, ..., epsilon.type=epsilon.type,
epsilon.value=epsilon.value)
} else NextMethod(sim, obs, na.rm=na.rm, fun=fun, ..., epsilon.type=epsilon.type,
epsilon.value=epsilon.value)
} # 'ubRMSE.zoo' end
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