Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-23T09:50:18.077Z Has data issue: false hasContentIssue false
  • English
  • Français

The application of diffusion theory to two population genetic models of Moran

Published online by Cambridge University Press:  14 July 2016

G. A. Watterson
G. A. Watterson*
Affiliation:
Monash University
Get access Rights & Permissions [Opens in a new window]

Extract

Moran (1958a) (1958b) introduced two population genetic models of a general kind to investigate the combined effects on evolution of four factors,

Type
Research Papers
Information
Journal of Applied Probability , Volume 1 , Issue 2 , December 1964 , pp. 233 - 246
Copyright
Copyright © Applied Probability Trust 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Crow, J. F. (1954) Breeding structure of populations. II. Effective population number. In Kempthorne, et al. (eds.), Statistics and Mathematics in Biology, 543–556, Iowa State College Press.Google Scholar
Kimura, M. (1957) Some problems of stochastic processes in genetics. Ann. Math. Statist. 28, 882–901.CrossRefGoogle Scholar
Kimura, M. and Crow, J. F. (1963) The measurement of effective population number. Evolution 17, 279–288.Google Scholar
Li, C. C. (1955) Population Genetics. University of Chicago Press.Google Scholar
Moran, P. A. P. (1958a) A general theory of the distribution of gene frequencies. I. Overlapping generations. Proc. Roy. Soc. London, B 149, 102–112.Google ScholarPubMed
Moran, P. A. P. (1958b) A general theory of the distribution of gene frequencies. II. Nonoverlapping generations. Proc. Roy. Soc. London, B 149, 113–116.Google Scholar
Moran, P. A. P. and Watterson, G. A. (1959) The genetic effects of family structure in natural populations. Aust. J. Biol. Sci. 12, 1–15.Google Scholar
Watterson, G. A. (1959) Non-random mating, and its effect on the rate of approach to homozygosity. Ann. Human Genetics 23, 204–220.CrossRefGoogle Scholar
Watterson, G. A. (1961) Markov chains with absorbing states: a genetic example. Ann. Math. Statist. 32, 716–729.Google Scholar
Watterson, G. A. (1962) Some theoretical aspects of diffusion theory in population genetics Ann. Math. Statist. 33, 939–957. Correction to above: Ann. Math. Statist. 34 (1963) 352.Google Scholar