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#' Phylogenetic diversity of multiple sites
#'
#' Calculate overall phylogenetic diversity and site similarity across multiple sites.
#'
#' @inheritParams hill_phylo
#' @param check_data Whether to check the community data and phylogeny. Default is `TRUE`.
#' Can be set to `FALSE` to speed up `hill_phylo_parti_pairwise()`.
#' @export
#' @author Chiu & Chao, Daijiang Li
#' @references Chao, Anne, Chun-Huo Chiu, and Lou Jost. Unifying Species Diversity, Phylogenetic Diversity, Functional Diversity, and Related Similarity and Differentiation Measures Through Hill Numbers. Annual Review of Ecology, Evolution, and Systematics 45, no. 1 (2014): 297–324. <doi:10.1146/annurev-ecolsys-120213-091540>.
#' @return A data frame with one row (across all sites) and six columns: q, gamma diversity, alpha diversity,
#' beta diversity, local similarity (similar to Sorensen), and region similarity (similar to Jaccard).
#' @examples
#' comm = dummy = FD::dummy$abun
#' tree = ape::rtree(n = ncol(comm), tip.label = paste0('sp', 1:8))
#' hill_phylo_parti(comm, tree, q = 0)
#' hill_phylo_parti(comm, tree, q = 0.999)
#' hill_phylo_parti(comm, tree, q = 1)
#' hill_phylo_parti(comm, tree, q = 2)
#'
hill_phylo_parti <- function(comm, tree, q = 0, base = exp(1), rel_then_pool = TRUE,
show_warning = TRUE, check_data = TRUE) {
if(check_data){
if (any(comm < 0))
stop("Negative value in comm data")
if(any(colSums(comm) == 0)){
if(show_warning)
warning('Some species in comm data were not observed in any site,\n delete them...')
comm = comm[, colSums(comm) != 0]
}
comm_sp <- intersect(colnames(comm), tree$tip.label)
if (!inherits(tree, "phylo"))
stop("tree must be an object with phylo as class")
if (length(setdiff(tree$tip.label, comm_sp))) {
if (show_warning)
warning("Some species in the phylogeny but not in comm, \n remove them from the phylogeny...")
tree <- ape::keep.tip(tree, comm_sp)
}
if (length(setdiff(colnames(comm), comm_sp))) {
if (show_warning)
warning("Some species in the comm but not in the phylogeny, \n remove them from the comm")
comm <- comm[, comm_sp]
}
comm <- comm[, tree$tip.label] # resort sp
comm <- as.matrix(comm)
if (rel_then_pool) {
comm <- sweep(comm, 1, rowSums(comm, na.rm = TRUE), "/") # relative abun
}
}
pabun <- dat_prep_phylo(comm, tree)
plength <- tree$edge.length
N <- ncol(pabun)
Tabun <- rowSums(pabun)
stopifnot(length(Tabun) == length(plength))
gT <- sum(Tabun * plength)
gI <- which(Tabun > 0)
if (q == 1) {
gPD <- exp(-sum(plength[gI] * (Tabun[gI]/gT) * log(Tabun[gI]/gT, base)))
L <- matrix(rep(plength, N), ncol = N)
aI <- which(pabun > 0)
aPD <- exp(-sum(L[aI] * (pabun[aI]/gT) * log(pabun[aI]/gT, base)))/N
bPD <- gPD/aPD
phyloCqN <- 1 - log(bPD, base)/log(N, base)
phyloUqN <- phyloCqN
} else {
gPD <- sum(plength[gI] * (Tabun[gI]/gT)^q)^(1/(1 - q))
L <- matrix(rep(plength, N), ncol = N)
aI <- which(pabun > 0)
aPD <- sum(L[aI] * (pabun[aI]/gT)^q)^(1/(1 - q))/N
bPD <- gPD/aPD
phyloCqN <- 1 - (bPD^(1 - q) - 1)/(N^(1 - q) - 1)
phyloUqN <- 1 - (bPD^(q - 1) - 1)/(N^(q - 1) - 1)
}
return(data.frame(q = q, PD_gamma = gPD, PD_alpha = aPD, PD_beta = bPD, local_similarity = phyloCqN,
region_similarity = phyloUqN))
}
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