Abstract

A model is investigated where the locus for gametophytic self-sterility, S, is closely linked to a locus A with two alleles A and a. Without selection at the A locus an equilibrium is rapidly reached where all S alleles have the same frequency. The segregation of aa is then fixed and determined by the proportion of S alleles which are linked to a. Even with complete selection against aa it is impossible to eliminate the a allele, as long as A and a are linked to different S alleles. Also in this case an equilibrium is rapidly approached, and after that, selection is ineffective. The important parameter for the segregation of aa is the number of S alleles which occur linked to the different alleles in the A locus. A relaxation of selection will restore the situation in the unselected population in a few generations. When heterogeneous combinations occur, where the same S allele is linked to A as well as a, the frequencies of the S1 A and S1 a haplotypes will not be changed if there is no selection at the A locus. With selection against aa the S1 a haplotype will be eliminated. The only effective way to reduce th segregation of aa is to increase the number of S alleles which are linked to A.

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