We develop a mixed model approach of quantitative trait locus (QTL) mapping
for a hybrid population derived from the crosses of two or more distinguis
hed outbred populations. Under the mixed model, we treat the mean allelic v
alue of each source population as the fixed effect and the allelic deviatio
ns from the mean as random effects so that we can partition the total genet
ic variance into between- and within-population variances. Statistical infe
rence of the QTL parameters is obtained by using the Bayesian method implem
ented by Markov chain Monte Carlo (MCMC). This unified QTL mapping algorith
m treats the fixed and random model approaches as special cases of the gene
ral mixed model methodology. Utility and flexibility of the method are demo
nstrated by using a set of simulated data.