On sojourn times at particular gene frequencies
- 1 February 1975
- journal article
- research article
- Published by Hindawi Limited in Genetics Research
- Vol. 25 (2) , 89-94
- https://doi.org/10.1017/s0016672300015494
Abstract
SUMMARY: The distribution of visits to a particular gene frequency in a finite population of size N with non-overlapping generations is derived. It is shown, by using well-known results from the theory of finite Markov chains, that all such distributions are geometric, with parameters dependent only on the set of bij's, where bij is the mean number of visits to frequency j/2N, given initial frequency i/2N. The variance of such a distribution does not agree with the value suggested by the diffusion method. An improved approximation is derived.Keywords
This publication has 4 references indexed in Scilit:
- The Moments of Stochastic Integrals and the Distribution of Sojourn TimesProceedings of the National Academy of Sciences, 1974
- Conditional diffusion processes in population geneticsTheoretical Population Biology, 1973
- The average number and the variance of generations at particular gene frequency in the course of fixation of a mutant gene in a finite populationGenetics Research, 1972
- SOME METHODS FOR TREATING CONTINUOUS STOCHASTIC PROCESSES IN POPULATION GENETICSThe Japanese Journal of Genetics, 1971