Conditions for the Maintenance of Prezygotic and Zygotic Isolation in a Continent-Island Model

A continent-island model is studied in which differences are initially present at a gene locus with assortative mating (which causes prezygotic reproductive isolation) and at one or two unlinked selected loci, (which cause zygotic reproductive isolation). This model simulates secondary contact between two populations which have diverged allopatrically at loci which control isolating mechanisms. Two different models of prezygotic isolation and three different models of zygotic isolation are studied. The analysis is focused on those conditions under which differentiation is not lost through the swamping effect of gene now. In each case the critical migration rate (mc) below which differences can be maintained is found. Results depend on the degree of assortative mating, on the level of selection on the genes involved, and on the particular models of reproductive isolation considered. However, in all the models, for high values of such parameters the two isolating mechanisms interact strongly, and consequently the stability of the difference at each locus (as measured by mc) is noticeably influenced by the presence of the difference at the other locus (or loci). The nature and strength of the effects of this interaction differ according to whether or not there is selection on the assortative mating locus and whether selection against hybrids or directional selection is hypothesized.