The dynamics of neutral mutation
- 1 November 1978
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 363 (1712) , 135-146
- https://doi.org/10.1098/rspa.1978.0160
Abstract
The evolution of gene frequencies, at a locus at which selection is not so strong as to make it essentially deterministic, can be modelled by an appropriate stochastic differential equation describing a diffusion process. Unless the number of possible alleles is rather small, it is difficult to extract useful information from such models except under assumptions of statistical equilibrium. This paper suggests some different approaches to the non-equilibrium problem, with particular reference to the case of a neutral locus with a very large number of potential mutant alleles.This publication has 8 references indexed in Scilit:
- The geometry of random drift I. Stochastic distance and diffusionAdvances in Applied Probability, 1977
- The geometry of random drift I. Stochastic distance and diffusionAdvances in Applied Probability, 1977
- The transient distribution of allele frequencies under mutation pressureGenetics Research, 1976
- GENETIC HETEROGENEITY WITHIN ELECTROPHORETIC "ALLELES" OF XANTHINE DEHYDROGENASE IN DROSOPHILA PSEUDOOBSCURAGenetics, 1976
- Stochastic Differential EquationsPublished by Springer Nature ,1972
- THE NUMBER OF ALLELES THAT CAN BE MAINTAINED IN A FINITE POPULATIONGenetics, 1964
- Random Genetic Drift in a Tri-Allelic Locus; Exact Solution with a Continuous ModelBiometrics, 1956
- On the mathematical foundations of theoretical statisticsPhilosophical Transactions of the Royal Society A, 1922