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#' @title Overlap Measure
#' @description Quantify microbiota 'overlap' between samples.
#' @param x \code{\link{phyloseq-class}} object
#' @param detection Detection threshold.
#' @return Overlap matrix
#' @references
#' Bashan, A., Gibson, T., Friedman, J. et al.
#' Universality of human microbial dynamics.
#' Nature 534, 259–262 (2016). \url{https://doi.org/10.1038/nature18301}
#' @author Contact: Leo Lahti \email{microbiome-admin@@googlegroups.com}
#' @keywords utilities
#' @export
#' @examples
#' data(atlas1006)
#' o <- overlap(atlas1006, detection = 0.1/100)
overlap <- function(x, detection = 0) {
# taxa x samples
a <- abundances(transform(x, "compositional"))
# samples x samples
O <- matrix(0, nrow = ncol(a), ncol = ncol(a))
for (i in seq_len(ncol(a)-1)) {
for (j in seq(i+1, ncol(a))) {
O[i, j] <- O[j, i] <- olap(a[,i], a[, j], detection = detection)
}
}
O
}
olap <- function (x, y, detection) {
inds <- which(x > detection & y > detection)
x <- x[inds]
y <- y[inds]
o <- (sum(x) + sum(y))/2
}
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