Effective linkage detection and gene mapping requires analysis of data join
tly on members of extended pedigrees, Jointly at multiple genetic markers.
Exact likelihood computation is then often infeasible, but Markov chain Mon
te Carlo (MCMC) methods permit estimation of posterior probabilities of gen
ome sharing among relatives, conditional upon marker data. In principle, MC
MC also permits estimation of linkage analysis location score curves, but i
n practice effective MCMC samplers are hard to find. Although the whole-mei
osis Gibbs sampler (M-sampler) performs well in some cases, for extended pe
digrees and tightly linked markers better samplers are needed. However, usi
ng the M-sampler as a proposal distribution in a Metropolis-Hastings algori
thm does allow genetic interference to be incorporated into the analysis.