A GENERALIZATION OF THE MIXTURE MODEL IN THE MAPPING OF QUANTITATIVE TRAIT LOCI FOR PROGENY FROM A BIPARENTAL CROSS OF INBRED LINES

The recent advent of molecular markers has created a great potential f or the understanding of quantitative inheritance. In parallel to rapid developments and improvements in molecular marker technologies, biome trical models have been constructed, refined and generalized for the m apping of quantitative trait loci (QTL). However, current models prese nt restrictions in terms of breeding designs to which they apply. In t his paper, we develop an approach for the generalization of the mixtur e model for progeny from a single bi-parental cross of inbred lines. D etailed derivations are given for genetic designs involving population s developed by selfing, i.e., where marker genotypes are obtained from F-x (x greater than or equal to 2) individuals and where phenotypes a re measured on F-y (y greater than or equal to x) individuals or famil ies. Extensions to designs involving doubled-haploids, backcross-deriv ed individuals and random matings are outlined. The derivations presen ted here can easily be combined with current QTL mapping approaches.