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#' Ratio of external:internal edge length
#'
#' Reports the ratio of tree length associated with external edges (i.e.
#' edges whose child is a leaf) and internal edges.
#' Where tree length is dominated by internal edges, variation between tips
#' is dominantly controlled by phylogenetic history.
#'
#' @param x A tree of class \code{\link[ape:read.tree]{phylo}}.
#' @returns `EdgeRatio()` returns a numeric specifying the ratio of external
#' to internal edge length (> 1 means the length of a tree is predominantly
#' in external edges), with attributes `external`, `internal`, and `total`
#' specifying the total length associated with edges of that nature.
#' @template MRS
#' @family tree properties
#' @export
EdgeRatio <- function(x) UseMethod("EdgeRatio")
#' @rdname EdgeRatio
#' @export
EdgeRatio.phylo <- function(x) {
el <- x[["edge.length"]]
if (is.null(el)) {
warning("Edge lengths not specified")
return(NA_real_)
}
ed <- x[["edge"]]
nTip <- NTip(x)
external <- ed[, 2] <= nTip
exLen <- sum(el[external])
inLen <- sum(el[!external])
structure(exLen / inLen,
external = exLen,
internal = inLen,
total = sum(exLen, inLen))
}
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