Abstract
The Wright--Fisher model and its approximating diffusion model are compared in terms of the expected value of a smooth but arbitrary function of nth-generation gene frequency. In the absence of selection, this expectation is shown to differ in the two models by at most a linear combination (with coefficients depending only on the derivatives of the smooth function involved) of the maximum mutation rate and the reciprocal of the population size.
Full text
PDF
Selected References
These references are in PubMed. This may not be the complete list of references from this article.
- EWENS W. J. THE ADEQUACY OF THE DIFFUSION APPROXIMATION TO CERTAIN DISTRIBUTIONS IN GENETICS. Biometrics. 1965 Jun;21:386–394. [PubMed] [Google Scholar]
- Wright S. Evolution in Mendelian Populations. Genetics. 1931 Mar;16(2):97–159. doi: 10.1093/genetics/16.2.97. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Wright S. The Differential Equation of the Distribution of Gene Frequencies. Proc Natl Acad Sci U S A. 1945 Dec;31(12):382–389. doi: 10.1073/pnas.31.12.382. [DOI] [PMC free article] [PubMed] [Google Scholar]