REML version of brownie.lite
This function takes an object of class "phylo" or an object of class "simmap" with a mapped binary or multistate trait (see read.simmap) and data for a single continuously valued character.  It then uses restricted maximum likelihood (REML) to fit the Brownian rate variation ("noncensored") model of O'Meara et al. (2006; Evolution).  This function is similar to brownie.lite but uses REML (which is faster and unbiased) instead of ML.  REML optimization takes advantage of Felsenstein's (1985) contrasts algorithm.
brownieREML(tree, x, maxit=2000, ...)
tree | 
 an object of class   | 
x | 
 a vector of tip values for species.   | 
maxit | 
 an optional integer value indicating the maximum number of iterations for optimization - may need to be increased for large trees.  | 
... | 
 optional arguments.  | 
An object of class "brownieREML" containing the following components:
sig2.single | 
 is the rate, σ^2, for a single rate model - this is usually the "null" model.  | 
logL1 | 
 log-likelihood of the single-rate model.  | 
sig2.multiple | 
 is a length p (for p rates) vector of BM rates (σ_1^2, σ_2^2, and so on) from the multi-rate model.  | 
logL2 | 
 log-likelihood of the multi-rate model.  | 
convergence | 
 numerical value from   | 
Liam Revell liam.revell@umb.edu
Felsenstein, J. 1985. Phylogenies and the comparative method. American Naturalist, 125, 1-15.
O'Meara, B. C., C. Ane, M. J. Sanderson, and P. C. Wainwright. 2006. Testing for different rates of continuous trait evolution using likelihood. Evolution, 60, 922-933.
Revell, L. J. (2012) phytools: An R package for phylogenetic comparative biology (and other things). Methods Ecol. Evol., 3, 217-223.
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