#' Simulate a sequence assuming node substitutions are not shared amongst
#' offspring, using the explicit simulation method (e.g. reverse substitutions
#' are modeled explicitly)
#' @param phy phylogenetic tree for which to simulate sequences
#' @param Q1 substitution matrix along the branches, default = JC
#' @param Q2 substitution matrix on the nodes, default = JC
#' @param rate1 mutation rate along the branch, default = 0.1
#' @param rate2 mutation rate on the node, default = 0.1
#' @param l number of base pairs to simulate
#' @param bf base frequencies, default = c(0.25, 0.25, 0.25, 0.25)
#' @param rootseq sequence at the root, simulated by default
#' @param node_time amount of time spent at the nodes
#' @return list with four items \enumerate{
#' \item{alignment} Phydat object with the resulting alignment
#' \item{rootseq} the rootsequence used
#' \item{total_branch_substitutions} total number of substitutions accumulated
#' on the branches
#' \item{total_node_substitutions} total number of substitutions accumulated at
#' the nodes}
#' @export
sim_unlinked_explicit <- function(phy,
Q1 = rep(1, 6), # nolint
Q2 = rep(1, 6), # nolint
rate1 = 0.1,
rate2 = 0.1,
l = 1000,
bf = rep(0.25, 4),
rootseq = NULL,
node_time = 1e-3) {
levels <- c("a", "c", "g", "t")
if (is.null(rootseq)) {
rootseq <- sample(levels, l, replace = TRUE, prob = bf)
}
if (length(rootseq) != l) {
stop(
"'rootseq' must have the same length as 'l'. \n",
"length 'rootseq': ", length(rootseq), " \n",
"value of 'l': ", l, " \n"
)
}
# only extract the 6 important rates.
if (is.matrix(Q1)) Q1 <- Q1[lower.tri(Q1)] # nolint
if (is.matrix(Q2)) Q2 <- Q2[lower.tri(Q2)] # nolint
# capital Q is retained to conform to mathematical notation on wikipedia
# and in the literature
phy <- stats::reorder(phy)
edge <- phy$edge
num_nodes <- max(edge)
parent <- as.integer(edge[, 1])
child <- as.integer(edge[, 2])
root <- as.integer(parent[!match(parent, child, 0)][1])
res <- matrix(NA, l, num_nodes)
res[, root] <- rootseq
tl <- phy$edge.length
branch_subs_all <- rep(0, length(parent))
node_subs_all <- rep(0, length(parent))
for (i in seq_along(tl)) {
from <- parent[i]
to <- child[i]
# first we do substitutions due to the node model:
P <- p_n(100, rate2, node_time) # get_p_matrix(tl[i], eig, rate) # nolint
# capital P is retained to conform to mathematical notation on wikipedia
# and in the literature
seq_before_mut <- res[, from]
seq_after_mut <- mutate_seq_explicit(seq_before_mut, P)
node_subs <- seq_after_mut$num_mut
res[, to] <- seq_after_mut$seq
# and then we add extra substitutions
from <- to # the parent is now the individual again
P <- p_n(100, rate1, tl[i]) # nolint
# capital P is retained to conform to mathematical notation on wikipedia
# and in the literature
seq_before_mut <- res[, from]
seq_after_mut <- mutate_seq_explicit(seq_before_mut, P)
branch_subs <- seq_after_mut$num_mut
res[, to] <- seq_after_mut$seq
branch_subs_all[i] <- branch_subs_all[i] + branch_subs
node_subs_all[i] <- node_subs_all[i] + node_subs
}
updated_subs <- calc_accumulated_substitutions(phy, branch_subs_all,
node_subs_all)
phy_no_extinct <- geiger::drop.extinct(phy)
k <- length(phy$tip.label)
label <- c(phy$tip.label, as.character((k + 1):num_nodes))
colnames(res) <- label
res <- res[, phy_no_extinct$tip.label, drop = FALSE]
alignment_phydat <- phyDat.DNA(as.data.frame(res, stringsAsFactors = FALSE))
output <- list("alignment" = alignment_phydat,
"root_seq" = rootseq,
"total_branch_substitutions" = updated_subs$total_branch_subs,
"total_node_substitutions" = updated_subs$total_node_subs,
"total_accumulated_substitutions" =
updated_subs$total_accumulated_substitutions)
return(output)
}
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