Polymorphism with migration and selection

Summary Two single-locus, deterministic models with discrete nonoverlapping generations are formulated for the maintenance of genetic variation in each of two distinct biological situations. The first two models are applicable to an autosomal locus in an hermaphroditic plant population with mixed selfing and random mating. They describe the interaction of migration and viability selection for, respectively, an island migration model and for a subdivided population. Pollen as well as seed may disperse. Sufficient conditions are derived and discussed for the existence of protected polymorphism in the diallelic case. The remaining two models are pertinent to migration and selection at a single X-linked locus. An island model is again considered as well as that of a subdivided population. Mating is at random, selection occurs only through viability differences, and the migration structure for males and females may differ. For a diallelic population, protection conditions are derived and discussed vis-à-vis the autosomal case.M.M. was supported by a U.S. Public Health Service training grant (Grant No. GM780).