The genotype and genotype effect of marker and QTL for combining ability and heterosis with multiple alleles at each locus in BCRIL population.

MM and mm denote the two different genotype of molecular marker M; Q and q denote two alleles of QTL in BCRIL population, Qi (i = 1∼k) represents the multiple alleles of QTL in tester; r represents the recombinant value between molecular marker M and QTL; μidenotes the overall mean value. a, a1 and ak denote the additive effect of different allele; gi and gi′ (1∼k) denote the genotypic value of the homozygote and heterozygote of QTL, respectively. , .*When the genotype of QTL is Q1Q1 in tester.#When the genotype of QTL is QkQk in tester.