We introduce a novel Bayesian approach to estimate and account for populati
on structure simultaneously with association mapping of multiple quantitati
ve trait loci. The method is designed for an analysis of unrelated individu
als from a mixture of two populations (no admixture), where the individual
population memberships are unknown. In our approach, the population structu
re is estimated and accounted for by using data on additional "grouping" ma
rkers which are assumed to be in Hardy-Weinberg equilibrium within the popu
lations but have different allele frequencies between the populations. We u
se Bayesian hierarchical modeling and Markov chain Monte Carlo estimation,
where we allow both population stratification and genetic heterogeneity. In
our model the number of quantitative trait loci and their positions are tr
eated as random variables, and we obtain their posterior distributions. Her
e we select the candidate and the grouping markers based on results from a
preliminary SOLAR analysis. (C) 2001 Wiley-Liss, Inc.