Information on multiple linked genetic markers was used in a Bayesian
method for the statistical mapping of quantitative trait loci (QTL). B
ayesian parameter estimation and hypothesis testing were implemented v
ia Markov chain Monte Carlo algorithms. Variables sampled were the aug
mented data (marker-QTL genotypes, polygenic effects), an indicator va
riable for linkage or nonlinkage, and the parameters. The parameter ve
ctor included allele frequencies at the markers and the QTL, map dista
nces of the markers and the QTL, QTL substitution effect, and polygeni
c and residual variances. The criterion for QTL detection was the marg
inal posterior probability of a QTL being located on the chromosome ca
rrying the markers. The method was evaluated empirically by analyzing
simulated granddaughter designs consisting of 2000 sons, 20 related si
res, and their ancestors.