#' Interaction between phylogenetic uncertainty and influential species detection - Phylogenetic Logistic Regression
#'
#' Performs leave-one-out deletion analysis for phylogenetic logistic regression,
#' and detects influential species while evaluating uncertainty in trees topology.
#'
#' @param formula The model formula
#' @param data Data frame containing species traits with row names matching tips
#' in \code{phy}.
#' @param phy A phylogeny (class 'phylo') matching \code{data}.
#' @param btol Bound on searching space. For details see \code{phyloglm}
#' @param cutoff The cutoff value used to identify for influential species
#' (see Details)
#' @param n.tree Number of times to repeat the analysis with n different trees picked
#' randomly in the multiPhylo file.
#' @param track Print a report tracking function progress (default = TRUE)
#' @param ... Further arguments to be passed to \code{phyloglm}
#' @details
#' This function sequentially removes one species at a time, fits a phylogenetic
#' logistic regression model using \code{\link[phylolm]{phyloglm}}, stores the
#' results and detects influential species. It repeats this operation using n trees,
#' randomly picked in a multiPhylo file.
#'
#' Currently only logistic regression using the "logistic_MPLE"-method from
#' \code{phyloglm} is implemented.
#'
#' \code{influ_phyglm} detects influential species based on the standardised
#' difference in intercept and/or slope when removing a given species compared
#' to the full model including all species. Species with a standardised difference
#' above the value of \code{cutoff} are identified as influential. The default
#' value for the cutoff is 2 standardised differences change.
#'
#' Currently, this function can only implement simple logistic models (i.e. \eqn{trait~
#' predictor}). In the future we will implement more complex models.
#'
#' Output can be visualised using \code{sensi_plot}.
#'
#' @return The function \code{influ_phyglm} returns a list with the following
#' components:
#' @return \code{cutoff}: The value selected for \code{cutoff}
#' @return \code{formula}: The formula
#' @return \code{full.model.estimates}: Coefficients, aic and the optimised
#' value of the phylogenetic parameter (i.e. \code{alpha}) for the full model
#' without deleted species.
#' @return \code{influential_species}: List of influential species, both
#' based on standardised difference in interecept and in the slope of the
#' regression. Species are ordered from most influential to less influential and
#' only include species with a standardised difference > \code{cutoff}.
#' @return \code{sensi.estimates}: A data frame with all simulation
#' estimates. Each row represents a deleted clade for a given random tree. Columns report the calculated
#' regression intercept (\code{intercept}), difference between simulation
#' intercept and full model intercept (\code{DIFintercept}), the standardised
#' difference (\code{sDIFintercept}), the percentage of change in intercept compared
#' to the full model (\code{intercept.perc}) and intercept p-value
#' (\code{pval.intercept}). All these parameters are also reported for the regression
#' slope (\code{DIFestimate} etc.). Additionally, model aic value (\code{AIC}) and
#' the optimised value (\code{optpar}) of the phylogenetic parameter
#' (i.e. \code{alpha}) are reported.
#' @return \code{data}: Original full dataset.
#' @return \code{errors}: Species where deletion resulted in errors.
#' @author Gustavo Paterno, Caterina Penone & Gijsbert D.A. Werner
#' @seealso \code{\link[phylolm]{phyloglm}}, \code{\link{tree_phyglm}},
#' \code{\link{influ_phyglm}}, \code{\link{tree_influ_phyglm}}, \code{\link{sensi_plot}}
#' @references
#'
#' Paterno, G. B., Penone, C. Werner, G. D. A.
#' \href{http://doi.wiley.com/10.1111/2041-210X.12990}{sensiPhy:
#' An r-package for sensitivity analysis in phylogenetic
#' comparative methods.} Methods in Ecology and Evolution
#' 2018, 9(6):1461-1467
#'
#' Ho, L. S. T. and Ane, C. 2014. "A linear-time algorithm for
#' Gaussian and non-Gaussian trait evolution models". Systematic Biology 63(3):397-408.
#' @examples
#' \dontrun{
#'# Simulate Data:
#'set.seed(6987)
#'mphy = rmtree(100, N = 30)
#'x = rTrait(n=1,phy=mphy[[1]])
#'X = cbind(rep(1,100),x)
#'y = rbinTrait(n=1,phy=mphy[[1]], beta=c(-1,0.5), alpha=.7 ,X=X)
#'dat = data.frame(y, x)
#'# Run sensitivity analysis:
#'tree_influ <- tree_influ_phyglm(y ~ x, data = dat, phy = mphy, n.tree = 5)
#'summary(tree_influ)
#'sensi_plot(tree_influ)
#'sensi_plot(tree_influ, graphs = 1)
#'sensi_plot(tree_influ, graphs = 2)
#'}
#' @export
tree_influ_phyglm <- function(formula,
data,
phy,
n.tree = 2,
cutoff = 2,
btol = 50,
track = TRUE,
...) {
# Error checking:
if (!inherits(data, "data.frame"))
stop("data must be class 'data.frame'")
if (!inherits(formula, "formula"))
stop("formula must be class 'formula'")
if (!inherits(phy, "multiPhylo"))
stop("phy must be class 'multiPhylo'")
if (length(phy) < n.tree)
stop("'times' must be smaller (or equal) than the number of trees in the 'multiPhylo' object")
else
#Match data and phy
data_phy <- match_dataphy(formula, data, phy, ...)
phy <- data_phy$phy
full.data <- data_phy$data
# If the class of tree is multiphylo pick n=n.tree random trees
trees <- sample(length(phy), n.tree, replace = F)
#List to store information
tree.influ <- list ()
#Start tree loop here
if (track == TRUE)
pb <- utils::txtProgressBar(min = 0, max = n.tree, style = 3)
counter = 1
for (j in trees) {
#Match data order to tip order
full.data <- full.data[phy[[j]]$tip.label, ]
#Select tree
tree <- phy[[j]]
tree.influ[[counter]] <-
influ_phyglm(
formula,
data = full.data,
phy = tree,
verbose = FALSE,
track = FALSE,
...
)
if (track == TRUE)
utils::setTxtProgressBar(pb, counter)
counter = counter + 1
}
if (track == TRUE)
close(pb)
names(tree.influ) <- trees
# Merge lists into data.frames between iterations:
full.estimates <-
suppressWarnings(recombine(tree.influ, slot1 = 3, slot2 = 1))
#influ species slope
influ.sp.estimate <-
(lapply(tree.influ, function(x)
x$influential.species$influ.sp.estimate))
influ.sp.estimate <- as.data.frame(as.matrix(influ.sp.estimate))
names(influ.sp.estimate) <- "influ.sp.estimate"
influ.sp.estimate$tree <- row.names(influ.sp.estimate)
#influ species intercept
influ.sp.intercept <-
(lapply(tree.influ, function(x)
x$influential.species$influ.sp.intercept))
influ.sp.intercept <- as.data.frame(as.matrix(influ.sp.intercept))
names(influ.sp.intercept) <- "influ.sp.intercept"
influ.sp.intercept$tree <- row.names(influ.sp.intercept)
#influ.estimates
influ.estimates <- recombine(tree.influ, slot1 = 5)
influ.estimates$info <- NULL
#Generates output:
res <- list(
call = match.call(),
cutoff = cutoff,
formula = formula,
full.model.estimates = full.estimates,
influential.species = list(
influ.sp.estimate = influ.sp.estimate,
influ.sp.intercept = influ.sp.intercept
),
sensi.estimates = influ.estimates,
data = full.data
)
class(res) <- c("sensiTree_Influ", "sensiTree_InfluL")
### Warnings:
if (length(res$errors) > 0) {
warning("Some species deletion presented errors, please check: output$errors")
}
else {
res$errors <- "No errors found."
}
return(res)
}
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