Error estimate for the diffusion approximation of the Wright--Fisher model.
- 1 November 1977
- journal article
- research article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 74 (11) , 5096-5098
- https://doi.org/10.1073/pnas.74.11.5096
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 2 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.This publication has 5 references indexed in Scilit:
- The Adequacy of the Diffusion Approximation to Certain Distributions in GeneticsBiometrics, 1965
- The Differential Equation of the Distribution of Gene FrequenciesProceedings of the National Academy of Sciences, 1945
- EVOLUTION IN MENDELIAN POPULATIONSGenetics, 1931
- XXI.—On the Dominance RatioProceedings of the Royal Society of Edinburgh, 1923