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make.simmap

Simulate stochastic character maps on a phylogenetic tree or trees

Description

This function performs stochastic mapping using several different alternative methods.

For Q="empirical", make.simmap first fits a continuous-time reversible Markov model for the evolution of x and then simulates stochastic character histories using that model and the tip states on the tree. This is the same procedure that is described in Bollback (2006), except that simulation is performed using a fixed value of the transition matrix, Q, instead of by sampling Q from its posterior distribution.

For Q="mcmc", make.simmap first samples Q nsim times from the posterior probability distribution of Q using MCMC, then it simulates nsim stochastic maps conditioned on each sampled value of Q.

For Q set to a matrix, make.simmap samples stochastic mappings conditioned on the fixed input matrix.

Usage

make.simmap(tree, x, model="SYM", nsim=1, ...)

Arguments

tree

a phylogenetic tree as an object of class "phylo", or a list of trees as an object of class "multiPhylo".
x

a vector containing the tip states for a discretely valued character, or a matrix containing the prior probabilities of tip states in rows and character states as column names. The names (if x is a vector) or row names (if x is a matrix) should match the tip labels of the tree. The vector can be of class "factor", "character", or "numeric" (although in the lattermost case its content should obviously be only integer values).
model

a character string containing the model or a transition model specified in the form of a matrix. See ace for more details.
nsim

number of simulations. If tree is an object of class "multiPhylo", then nsim simulations will be conducted per input tree.
...

optional arguments. So far, pi gives the prior distribution on the root node of the tree. Acceptable values for pi are "equal", "estimated", or a vector with the frequencies. If pi="estimated" then the stationary distribution is estimated by numerically solving pi*Q=0 for pi, and this is used as a prior on the root. The function defaults to pi="equal" which results in the root node being sampled from the conditional scaled likelihood distribution at the root. message tells whether or not to print a message containing the rate matrix, Q and state frequencies. message defaults to TRUE. For optional argument Q="mcmc" (see below) the mean value of Q from the posterior sample is printed. tol gives the tolerance for zero elements in Q. (Elements less then tol will be reset to tol). Optional argument Q can be a string ("empirical" or "mcmc"), or a fixed value of the transition matrix, Q. If "empirical" than a single value of Q, the most likely value, is used for all simulations. If "mcmc", then nsim values of Q are first obtained from the posterior distribution for Q using Bayesian MCMC, then a simulated stochastic character map is generated for each sampled value of Q. Optional argument vQ can consist of a single numeric value or a vector containing the variances of the (normal) proposal distributions for the MCMC. The order of vQ is assumed to be in the order of the index.matrix in ace for the chosen model. prior is a list containing alpha and beta parameters for the Γ prior distribution on the transition rates in Q. Note that alpha and beta can be single values or vectors, if different priors are desired for each value in the transition matrix Q. As for vQ, the order of prior is assumed to correspond with the order of index.matrix as in ace. prior can also be given the optional logical value use.empirical which tells the function whether or not to give the prior distribution the empirical mean for Q. If TRUE then only prior$beta is used and prior$alpha is set equal to prior$beta times the empirical mean of Q. burnin and samplefreq are burn-in and sample frequency for the MCMC, respectively.

Details

make.simmap uses code modified from ace (by Paradis et al.) to perform Felsenstein's pruning algorithm to compute the likelihood.

As of phytools >= 0.2-33 x can be a vector of states or a matrix containing the prior probabilities of tip states in rows. In this case the column names of x should contain the states, and the row names should contain the tip names.

Note that there was a small (but potentially significant) bug in how node states were simulated by make.simmap in versions of phytools <= 0.2-26. Between phytools 0.2-26 and 0.2-36 there was also a bug for asymmetric models of character change (e.g., model="ARD"). Finally, between phytools 0.2-33 and phytools 0.2-47 there was an error in use of the conditional likelihoods for the root node, which caused the root node of the tree to be sampled incorrectly. These issues should be fixed in all later versions.

Q="mcmc" and Q set to a fixed value were introduced to phytools >= 0.2-53.

If tree is an object of class "multiPhylo" then nsim stochastic maps are generated for each input tree.

Value

A object of class "simmap" or "multiSimmap" which consists of an object of class "phylo" (or a list of such objects with class "multiPhylo"), with the following additional elements:

maps

a list of named vectors containing the times spent in each state on each branch, in the order in which they occur.
mapped.edge

a matrix containing the total time spent in each state along each edge of the tree.
Q

the assumed or sampled value of Q.
logL

the log-likelihood of the assumed or sampled Q.

Author(s)

References

Bollback, J. P. (2006) Stochastic character mapping of discrete traits on phylogenies. BMC Bioinformatics, 7, 88.

Huelsenbeck, J. P., R. Neilsen, and J. P. Bollback (2003) Stochastic mapping of morphological characters. Systematic Biology, 52, 131-138.

Paradis, E., J. Claude, and K. Strimmer (2004) APE: Analyses of phylogenetics and evolution in R language. Bioinformatics, 20, 289-290.

Revell, L. J. (2012) phytools: An R package for phylogenetic comparative biology (and other things). Methods Ecol. Evol., 3, 217-223.

See Also

Examples

## load tree and data from Revell & Collar (2009)
data(sunfish.tree)
data(sunfish.data)
## extract discrete character (feeding mode)
fmode<-setNames(sunfish.data$feeding.mode,
    rownames(sunfish.data))
## do stochastic mapping
smap.trees<-make.simmap(sunfish.tree,fmode,model="ER",
     nsim=100)
## print a summary of the stochastic mapping
summary(smap.trees)
## plot a posterior probabilities of ancestral states
cols<-setNames(c("blue","red"),levels(fmode))
plot(summary(smap.trees),colors=cols,ftype="i")
legend("topleft",c("non-piscivorous","piscivorous"),
   pch=21,pt.bg=cols,pt.cex=2)
par(mar=c(5.1,4.1,4.1,2.1))
## plot posterior density on the number of changes
plot(density(smap.trees),bty="l")
title(main="Posterior distribution of changes of each type",
    font.main=3)
phytools

Phylogenetic Tools for Comparative Biology (and Other Things)

v0.7-70
GPL (>= 2)
Authors
Liam J. Revell
Initial release
2020-9-19

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