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Mutation and selection in a large population

journal contribution
posted on 2023-06-07, 13:47 authored by Joel Peck, David Waxman, A. Cruikshank
In this paper we study a large, but finite population, in which mutation and selection occur at a single genetic locus in a diploid organism. We provide theoretical results for the equilibrium allele frequencies, their variances and covariances and their equilibrium distribution, when the population size is larger than the reciprocal of the mean mutation rate. [[We are also able to infer that the equilibrium distribution of allele frequencies takes the form of a constrained multivariate Gaussian distribution.]] Our results provide a rapid way of obtaining useful information in the case of complex mutation and selection schemes when the population size is large. We present numerical simulations to test the applicability of our theoretical formulations. The results of these simulations are in very reasonable agreement with the theoretical predictions.

History

Publication status

  • Published

Journal

BioSystems

ISSN

0303-2647

Publisher

Elsevier

Issue

1-3

Volume

74

Page range

15-27

Department affiliated with

  • Biology and Environmental Science Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2007-02-15

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