Clines with partial panmixia in an unbounded unidimensional habitat
- 作者：Thomas Nagylaki nagylaki@uchicago.edu
- 关键词：Geographical structure ; Spatial structure ; Population structure ; Subdivided populations ; Migration ; Long-distance migration
- 刊名：Theoretical Population Biology
- 出版年：2012
- 期刊代码：144_00405809
- 类别：soc
- 出版时间：August, 2012
- 卷：82
- 期：1
- 页码：22-28
- 文件大小：333 K
摘要
In geographically structured populations, global panmixia can be regarded as the limiting case of long-distance migration. The effect of incorporating partial panmixia into diallelic single-locus clines maintained by migration and selection in an unbounded unidimensional habitat is investigated. Migration and selection are both weak. The former is homogenous and isotropic; the latter has no dominance. The population density is uniform. A simple, explicit formula is derived for the maximum value of the scaled panmictic rate for which a cline exists. The former depends only on the asymptotic values of the scaled selection coefficient. If the two alleles have the same average selection coefficient, there exists a unique, globally asymptotically stable cline for every . Otherwise, if , the allele with the greater average selection coefficient is ultimately fixed. If , there exists a unique, globally asymptotically stable cline, and some polymorphism is retained even infinitely far from its center. The gene frequencies at infinity are determined by a continuous-time, two-deme migration-selection model. An explicit expression is deduced for the monotone cline in a step-environment. These results differ fundamentally from those for the classical cline without panmixia.