Many evolutionary studies use comparisons across species to detect evidence
of natural selection and to examine the rate of character evolution, Stati
stical analyses in these studies are usually performed by means of a specie
s phylogeny to accommodate the effects of shared evolutionary history. The
phylogeny is usually treated as known without error; this assumption is pro
blematic because inferred phylogenies are subject to both stochastic and sy
stematic errors. We describe methods for accommodating phylogenetic uncerta
inty in evolutionary studies by means of Bayesian inference. The methods ar
e computationally intensive but general enough to be applied in most compar
ative evolutionary studies.