We explore the possibility that differences in the pattern of gene Row
between populations may affect the evolution of reinforcement by comp
aring pairs of populations undergoing one-way migration versus symmetr
ic migration. The case of symmetric migration is modeled by a two-isla
nd model, where the two populations exchange equal proportions of migr
ants each generation. One-way migration is modeled by a continent-isla
nd model, where migration is in one direction from a large continental
population with a fixed genotype to an island population whose genoty
pe frequencies can vary. Hybrid inviability is assumed to be caused by
epistatic interactions between background loci. We examine the spread
of an introduced preference allele for a previously unpreferred male
trait that characterizes one of the populations. Computer simulations
indicate that with a weak introduced preference, reinforcement is poss
ible under a wide range of parameter values in a symmetric migration m
odel but cannot occur in a one-way migration model. Reinforcement with
one-way migration can occur only with a very strong introduced prefer
ence and very strong selection against hybrids. Our results suggest th
at the speciation of a peripheral isolate. which undergoes essentially
one-way migration, may be difficult to complete if secondary contact
occurs before reproductive isolation is fully developed.