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##' @title Emberger's pluviometric quotient
##'
##' @description Calculate Emberger's pluviometric quotient.
##'
##' @param P rasterLayer, total annual precipitation
##' @param M rasterLayer, mean max temperature of the warmest month
##'
##' @param m rasterLayer, mean min temperature of the coldest month
##'
##' @param tempScale integer; scaling factor for the temperature data, see \link{envirem} for
##' additional details.
##'
##' @param precipScale integer; scaling factor for the precipitation data, see \link{envirem}
##' for additional details.
##'
##' @details \code{Q = 2000 P / [(M + m + 546.4) * (M - m)]}
##'
##' @return rasterLayer in mm / degrees C
##'
##' @references
##' Daget, P. (1977) Le bioclimat méditerranéen: analyse des formes climatiques
##' par le système d’Emberger. \emph{Vegetatio}, \strong{34}, 87–103.
##'
##' @author Pascal Title
##'
##' @examples
##' # Find example rasters
##' rasterFiles <- list.files(system.file('extdata', package='envirem'), full.names=TRUE)
##' env <- rast(rasterFiles)
##'
##' embergerQ(env[['bio_12']], env[['bio_5']], env[['bio_6']], tempScale = 10)
##' @export
## Emberger's pluviometric quotient
# Q = 2000 P / (M + m + 546.4) (M - m)
# P = mean annual precip
# M = mean max temp of warmest month
# m = mean min temp of coldest month
embergerQ <- function(P, M, m, tempScale = 1, precipScale = 1) {
#switch to 1 deg Celsius for temp
if (tempScale != 1) {
M <- M / tempScale
m <- m / tempScale
}
# switch to mm for precip
if (precipScale != 1) {
P <- P / precipScale
}
res <- 2000 * P / ((M + m + 546.4) * (M - m))
names(res) <- 'embergerQ'
return(res)
}
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