Abstract
Gametic relationship matrix is required for detecting quantitative trait locus (QTL) and implementing marker-assisted selection in outbred populations. The gametic relationship matrix for a QTL flanked by two marker loci can be computed from the marker information, only if haplotype of marker genotype is known for all individuals. When individuals with unknown haplotypes are contained, as in most animal populations, an approximated method is required for constructing the gametic relationship matrix. In this paper, the approximation via Markov chain Monte Carlo method was proposed. The algorithm was illustrated with a small hypothetical population.
