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#' Apply all tree statistics related to branching times to a single tree.
#' @param phylo phylo object
#' @return list with statistics
#' @export
#' @description this function applies all tree statistics based on
#' branching times to a single tree (more or less ignoring topology), being:
#' \itemize{
#' \item{gamma}
#' \item{pigot's rho}
#' \item{mean branch length}
#' \item{nLTT with empty tree}
#' \item{treeness}
#' \item{var branch length}
#' \item{mean internal branch length}
#' \item{mean external branch length}
#' \item{var internal branch length}
#' \item{var external branch length}
#' }
#'
calc_brts_stats <- function(phylo) {
stats <- list()
stats$gamma <- try_stat(phylo, treestats::gamma_statistic)
stats$pigot_rho <- treestats::pigot_rho(phylo)
stats$nltt_base <- treestats::nLTT_base(phylo)
stats$treeness <- treestats::treeness(phylo)
stats$mean_branch_length <- treestats::mean_branch_length(phylo)
stats$var_branch_length <- treestats::var_branch_length(phylo)
stats$mean_branch_length_int <- treestats::mean_branch_length_int(phylo)
stats$mean_branch_length_ext <- treestats::mean_branch_length_ext(phylo)
stats$var_branch_length_int <- treestats::var_branch_length_int(phylo)
stats$var_branch_length_ext <- treestats::var_branch_length_ext(phylo)
stats <- unlist(stats)
stats <- stats[order(names(stats))]
return(stats)
}
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