Abstract
The effect of a stochastic environment on an additive, two-locus model of a diploid population is examined. The appropriate diffusion equation is derived and its asymptotic properties are approximated by an Orstein-Uhlenbeck process. The first and second order moments of this approximating process are given. The mean linkage disequilibrium will be nonzero if the alleles at the different loci are correlated. The sign of the mean disequilibrium is determined by the sign of the correlation.
Full Text
The Full Text of this article is available as a PDF (449.1 KB).
Selected References
These references are in PubMed. This may not be the complete list of references from this article.
- Christiansen F. B., Feldman M. W. Subdivided populations: a review of the one- and two-locus deterministic theory. Theor Popul Biol. 1975 Feb;7(1):13–38. doi: 10.1016/0040-5809(75)90003-9. [DOI] [PubMed] [Google Scholar]
- Felsenstein J. Uncorrelated genetic drift of gene frequencies and linkage disequilibrium in some models of linked overdominant polymorphisms. Genet Res. 1974 Dec;24(3):281–294. doi: 10.1017/s0016672300015287. [DOI] [PubMed] [Google Scholar]
- Gillespie J., Langley C. Multilocus behavior in random environments. I. Random Levene models. Genetics. 1976 Jan;82(1):123–137. doi: 10.1093/genetics/82.1.123. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Mitton J. B., Koehn R. K. Population genetics of marine pelecypods. 3. Epistasis between functionally related isoenzymes of Mytilus edulis. Genetics. 1973 Mar;73(3):487–496. doi: 10.1093/genetics/73.3.487. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Nei M., Li W. H. Linkage disequilibrium in subdivided populations. Genetics. 1973 Sep;75(1):213–219. doi: 10.1093/genetics/75.1.213. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Slatkin M. Gene flow and selection in a two-locus system. Genetics. 1975 Dec;81(4):787–802. doi: 10.1093/genetics/81.4.787. [DOI] [PMC free article] [PubMed] [Google Scholar]