@article{oai:ir.soken.ac.jp:00003783,
 author = {尚之, 高畑 and SLATKIN, Montgomery and TAKAHATA, Naoyuki},
 issue = {3},
 journal = {Theoretical Population Biology, Theoretical Population Biology},
 month = {Dec},
 note = {An analytic model is developed to explore the relationship between gene flow, selection, and genetic drift. We assume that a single copy of a mutant allele appears in a finite, partially isolated population and allow for the effects of immigration, genic selection, and mutation on the frequency of the mutant. Our concern is with the distribution of the mutant's frequency before it either is lost from the population or emigrates. Before either of these events, the allele will be a "private allele" and would be found in only one of several populations in a larger collection. Slatkin [(1985) Evolution 39, 53-65] found several simple properties of private alleles in his simulations. We use the method developed by Karlin and Tavaré [(1980) Genet. Res. 37, 33-46; (1981a), Theor. Pop. Biol. 19, 187-214; (1981b) Theor. Pop. Biol. 19, 215-229] for a model similar to ours to obtain a diffusion equation with a "killing term" and obtain the mean and variance of the mutant's frequency and its expected frequency in samples of a specified size. There is only fair agreement between the analytic results from this model and those from Slatkin's (loc. cit.) simulations. The rescaling method used to obtain the results indicates that if emigration is relatively frequent, the distribution of rare alleles is governed largely by the balance between genetic drift and emigration, with selection, mutation, and immigration playing a lesser role.},
 pages = {314--331},
 title = {The average frequency of private alleles in a partially isolated population},
 volume = {28},
 year = {1985}
}