Abstract
In this article we present a model for analyzing patterns of genetic diversity in a continuous, finite, linear habitat with restricted gene flow. The distribution of coalescent times and locations is derived for a pair of sequences sampled from arbitrary locations along the habitat. The results for mean time to coalescence are compared to simulated data. As expected, mean time to common ancestry increases with the distance separating the two sequences. Additionally, this mean time is greater near the center of the habitat than near the ends. In the distant past, lineages that have not undergone coalescence are more likely to have been at opposite ends of the population range, whereas coalescent events in the distant past are biased toward the center. All of these effects are more pronounced when gene flow is more limited. The pattern of pairwise nucleotide differences predicted by the model is compared to data collected from sardine populations. The sardine data are used to illustrate how demographic parameters can be estimated using the model.
Full Text
The Full Text of this article is available as a PDF (291.0 KB).
Selected References
These references are in PubMed. This may not be the complete list of references from this article.
- Barton N. H., Wilson I. Genealogies and geography. Philos Trans R Soc Lond B Biol Sci. 1995 Jul 29;349(1327):49–59. doi: 10.1098/rstb.1995.0090. [DOI] [PubMed] [Google Scholar]
- Fleming W. H., Su C. H. Some one-dimensional migration models in population genetics theory. Theor Popul Biol. 1974 Jun;5(3):431–449. doi: 10.1016/0040-5809(74)90062-8. [DOI] [PubMed] [Google Scholar]
- Kimura M, Weiss G H. The Stepping Stone Model of Population Structure and the Decrease of Genetic Correlation with Distance. Genetics. 1964 Apr;49(4):561–576. doi: 10.1093/genetics/49.4.561. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Malécot G. Heterozygosity and relationship in regularly subdivided populations. Theor Popul Biol. 1975 Oct;8(2):212–241. doi: 10.1016/0040-5809(75)90033-7. [DOI] [PubMed] [Google Scholar]
- Maruyama T. Analysis of population structure. II. Two-dimensional stepping stone models of finite length and other geographically structured populations. Ann Hum Genet. 1971 Oct;35(2):179–196. doi: 10.1111/j.1469-1809.1956.tb01391.x. [DOI] [PubMed] [Google Scholar]
- Maruyama T. Effective number of alleles in a subdivided population. Theor Popul Biol. 1970 Nov;1(3):273–306. doi: 10.1016/0040-5809(70)90047-x. [DOI] [PubMed] [Google Scholar]
- Maruyama T. Rate of decrease of genetic variability in a two-dimensional continuous population of finite size. Genetics. 1972 Apr;70(4):639–651. doi: 10.1093/genetics/70.4.639. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Nagylaki T. Genetic structure of a population occupying a circular habitat. Genetics. 1974 Oct;78(2):777–790. doi: 10.1093/genetics/78.2.777. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Nagylaki T. Genetic structure of a population occupying a circular habitat. Genetics. 1974 Oct;78(2):777–790. doi: 10.1093/genetics/78.2.777. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Nagylaki T. The decay of genetic variability in geographically structured populations. II. Theor Popul Biol. 1976 Aug;10(1):70–82. doi: 10.1016/0040-5809(76)90006-x. [DOI] [PubMed] [Google Scholar]
- Nagylaki T. The decay of genetic variability in geographically structured populations. Proc Natl Acad Sci U S A. 1974 Aug;71(8):2932–2936. doi: 10.1073/pnas.71.8.2932. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Nagylaki T. The expected number of heterozygous sites in a subdivided population. Genetics. 1998 Jul;149(3):1599–1604. doi: 10.1093/genetics/149.3.1599. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Slatkin M. Inbreeding coefficients and coalescence times. Genet Res. 1991 Oct;58(2):167–175. doi: 10.1017/s0016672300029827. [DOI] [PubMed] [Google Scholar]
- Strobeck C. Average number of nucleotide differences in a sample from a single subpopulation: a test for population subdivision. Genetics. 1987 Sep;117(1):149–153. doi: 10.1093/genetics/117.1.149. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Wright S. Isolation by Distance. Genetics. 1943 Mar;28(2):114–138. doi: 10.1093/genetics/28.2.114. [DOI] [PMC free article] [PubMed] [Google Scholar]
