```
#' Attribute weights to equations
#'
#' This function attributes a weight to each equation based on its sampling
#' size, and taxonomic and climatic similarity with the species/site combination
#' considered.
#'
#' Each equation is given a weight by the function [weight_allom()], calculated
#' as the product of the following components:
#'
#' (1) sample-size weight, calculated as:
#'
#' \deqn{1-exp(-n*(log(20)/w95))}
#'
#' where n is the sample size of the equation; the weight given to equations
#' with no sample size information is determined by argument `wna` (0.1 by
#' default).
#'
#' (2) climate weight, based on the similarity between the climatic conditions
#' of the equation site and the target location, using the three-letter system
#' of Koppen's climate scheme. Climate weights associated with each combination
#' of two Koppen climates are provided in `data("koppenMatrix")`. The resulting
#' weight has a value between 1e-6 (different climate groups) and 1 (exactly the
#' same climate classification). When an equation was calibrated with trees from
#' several locations with different Koppen climates, the maximum value out of
#' all pairwise equation-site climate weights is used.
#'
#' (3) taxonomic weight: equal to 1 for same species equations, 0.8 for same
#' genus equations, 0.5 for same family equations and for equations calibrated
#' for the same broad functional or taxonomic group (e.g. shrubs, conifers,
#' angiosperms). All other equations are given a low taxonomic weight of 1e-6:
#' these equations will have a significant relative weight in the final
#' prediction only when no other more specific equation is available.
#'
#' @param genus a character value, containing the genus (e.g. "Quercus") of the
#' tree.
#' @param coords a numeric vector of length 2 with longitude and latitude.
#' @param species a character vector (same length as genus), containing the
#' species (e.g. "rubra") of the tree. Default is `NULL`, when no species
#' identification is available.
#' @param new_eqtable Optional. An equation table created with the
#' [new_equations()] function.
#' @param wna a numeric vector, this parameter is used in the [weight_allom()]
#' function to determine the sample-size related weights attributed to
#' equations without a specified sample size. Default is 0.1.
#' @param w95 a numeric vector, this parameter is used to determine the value at
#' which the sample-size-related weight reaches 95% of its maximum value
#' (max=1). Default is 500.
#'
#' @return A named "numeric" vector with one weight for each equation.
#'
#' @seealso [get_biomass()], [new_equations()].
#'
#' @export
#'
#' @examples
#' x <- weight_allom(
#' genus = "Acer",
#' species = "negundo",
#' coords = c(-78.2, 38.9)
#' )
#' str(x)
#' head(x)
weight_allom <- function(genus,
coords,
species = NULL,
new_eqtable = NULL,
wna = 0.1,
w95 = 500) {
if (!is.null(new_eqtable)) {
dfequation <- new_eqtable
} else {
dfequation <- new_equations()
}
### sample size weight ####
b <- log(20) / w95
suppressWarnings(dfequation$wn <-
(1 - exp(
-b * as.numeric(dfequation$sample_size)
)))
dfequation$wn[is.na(dfequation$wn)] <- wna
### climate weight ####
# (1) get koppen climate
coords_site <- t(as.numeric(coords))
rcoords_site <- round(coords_site * 2 - 0.5) / 2 + 0.25
## extract koppen climate of every location
koppen_obs <- apply(rcoords_site, 1, function(xk) {
subset(climatezones, Lon == xk[1] & Lat == xk[2])$Cls
})
if (length(koppen_obs) == 0) {
warning(
"The coordinates c(",
paste(coords, collapse = ","),
") are not associated with a Koppen climate zone."
)
dfequation$we <- 1e-6
} else {
kopmatrix <- subset(allodb::koppenMatrix, zone1 == koppen_obs)
compare_koppen <- function(kopp) {
kopp <- tolower(unlist(strsplit(kopp, ", |; |,|;")))
max(subset(kopmatrix, tolower(zone2) %in% kopp)$we)
}
dfequation$we <- vapply(dfequation$koppen, compare_koppen, FUN.VALUE = 0.9)
## error message when the koppen climate of the site does not correspond to
## any equation
if (sum(dfequation$we) < 0.2) {
warning(paste0(
"The Koppen climate zone corresponding to coordinates (",
paste(coords, collapse = ", "),
") is ",
koppen_obs,
" and is not represented in your equation table."
))
}
}
### taxo weight ####
## 'clean' equation taxa column and separate several taxa all character
## strings to lower cases to avoid inconsistencies
dfequation$equation_taxa <- tolower(dfequation$equation_taxa)
## remove " sp." from genus in equation taxa
dfequation$equation_taxa <-
gsub(" sp//.", "", dfequation$equation_taxa)
## split by "/" when there are several species or families
taxa <-
data.table::tstrsplit(dfequation$equation_taxa, "/| / | /|/ ")
taxa <- do.call(cbind, taxa)
colnames(taxa) <- paste0("taxa", seq_len(ncol(taxa)))
dfequation <- cbind(dfequation, taxa)
## get family of input genus
genus_obs <- tolower(genus)
genus_family <-
subset(allodb::genus_family, tolower(genus) == genus_obs)
family_obs <- tolower(genus_family$family)
## basic weight = 1e-6 (equations used only if no other is available)
dfequation$wt <- 1e-6
# same genus
dfequation$wt[dfequation$taxa1 == genus_obs] <- 0.8
# same genus, different species
eqtaxa_g <- data.table::tstrsplit(dfequation$taxa1, " ")[[1]]
eqtaxa_s <- data.table::tstrsplit(dfequation$taxa1, " ")[[2]]
dfequation$wt[eqtaxa_g == genus_obs & !is.na(eqtaxa_s)] <- 0.7
# same species
dfequation$wt[dfequation$taxa1 == paste(genus_obs, species) |
(dfequation$taxa2 == paste(genus_obs, species) &
!is.na(dfequation$taxa2))] <- 1
# # same family
dfequation$wt[dfequation$taxa1 == family_obs |
(!is.na(dfequation$taxa2) &
dfequation$taxa2 == family_obs) |
(!is.na(dfequation$taxa3) &
dfequation$taxa3 == family_obs) |
(!is.na(dfequation$taxa4) &
dfequation$taxa4 == family_obs) |
(!is.na(dfequation$taxa5) &
dfequation$taxa5 == family_obs) |
(!is.na(dfequation$taxa6) &
dfequation$taxa6 == family_obs)] <- 0.5
# generic equations
## conifers / gymnosperms?
conifers <- allodb::gymno_genus$Genus[allodb::gymno_genus$conifer]
# yes
dfequation$wt[genus_obs %in% conifers &
dfequation$equation_taxa == "conifers"] <- 0.3
# no
dfequation$wt[!(genus_obs %in% allodb::gymno_genus$Genus) &
dfequation$equation_taxa == "broad-leaved species"] <-
0.3
## tree or shrub?
shrub_genus <-
gsub(
" sp\\.",
"",
grep(" sp\\.", allodb::shrub_species, value = TRUE)
)
# shrubs (all)
dfequation$wt[(paste(genus_obs, species) %in% allodb::shrub_species |
genus_obs %in% shrub_genus) &
dfequation$equation_taxa == "shrubs"] <- 0.3
# shrubs (angio)
dfequation$wt[(paste(genus_obs, species) %in% allodb::shrub_species |
genus_obs %in% shrub_genus) &
!(genus_obs %in% allodb::gymno_genus$Genus) &
dfequation$equation_taxa == "shrubs (angiosperms)"] <-
0.3
# trees (all)
dfequation$wt[!paste(genus_obs, species) %in% allodb::shrub_species &
!genus_obs %in% shrub_genus &
dfequation$equation_taxa == "trees
(angiosperms/gymnosperms)"] <-
0.3
# trees (angio)
dfequation$wt[!paste(genus_obs, species) %in% allodb::shrub_species &
!genus_obs %in% shrub_genus &
!(genus_obs %in% allodb::gymno_genus$Genus) &
dfequation$equation_taxa == "trees (angiosperms)"] <-
0.3
### final weights ####
# multiplicative weights: if one is zero, the total weight should be zero too
dfequation$w <- dfequation$wn * dfequation$we * dfequation$wt
vec_w <- dfequation$w
names(vec_w) <- dfequation$equation_id
return(vec_w)
}
```

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