Ease and accuracy of typing, together with high levels of polymorphism
and widespread distribution in the genome, make microsatellite (or sh
ort tandem repeat) loci an attractive potential source of information
about both population histories and evolutionary processes. However, m
icrosatellite data are difficult to interpret, in particular because o
f the frequency of back-mutations. Stochastic models for the underlyin
g genetic processes can be specified, but in the past they have been t
oo complicated for direct analysis. Recent developments in stochastic
simulation methodology now allow direct inference about both historica
l events, such as genealogical coalescence times, and evolutionary par
ameters, such as mutation rates. A feature of the Markov chain Monte C
arlo (MCMC) algorithm that we propose here is that the likelihood comp
utations are simplified by treating the (unknown) ancestral allelic st
ates as auxiliary parameters. We illustrate the algorithm by analyzing
microsatellite samples simulated under the model. Our results suggest
that a single microsatellite usually does not provide enough informat
ion for useful inferences, but that several completely linked microsat
ellites can be informative about some aspects of genealogical history
and evolutionary processes. We also reanalyze data from a previously p
ublished human Y chromosome microsatellite study, finding evidence for
an effective population size for human Y chromosomes in the low thous
ands and a recent time since their most recent common ancestor: the 95
% interval runs from similar to 15,000 to 130,000 years, with most lik
ely values around 30,000 years.