Hostname: page-component-7b7567c8c-7pwfn Total loading time: 0 Render date: 2026-11-12T19:24:43.963Z Has data issue: false hasContentIssue false
  • English
  • Français

Fertility differences between homogamous and heterogamous matings

Published online by Cambridge University Press:  14 April 2009

C. Cannings
C. Cannings
Affiliation:
Department of Statistics, University of Aberdeen
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

The effect of fertility differences between homogamous and heterogamous matings are considered. The equilibria are evaluated and their stability deterimined. Completely positive and completely negative assortative mating with two and with three forms, are investigated as special cases of the above fertility structure. In these cases convergence of the genotype frequencies has beer demonstrated.

Information

Type
Research Article
Information
Genetics Research , Volume 11 , Issue 3 , June 1968, pp. 289 - 302
Copyright
Copyright © Cambridge University Press 1968

References

REFERENCES

Abromonitz, M. A. & Stegun, I. A. (1964). Handbook of Mathematical Functions. U.S. Dept. of Commerce.Google Scholar
Bodmer, W. F. (1965). Differential fertility in population genetics models. Genetics 51, 411–424.CrossRefGoogle ScholarPubMed
Cormack, R. M. (1964). A boundary problem arising in population genetics. Biometrics 20, 785–793.Google Scholar
Fisher, R. A. & Mather, K. (1943). The inheritance of style length in Lythum salicaria Ann. Eugen. 12, 1–23.Google Scholar
Kingman, J. F. C. (1961). A mathematical problem in population genetics. Proc. Camb. Phil Soc. 57, 574–582.CrossRefGoogle Scholar
Li, C. C. (1955). Population Genetics. University of Chicago Press.Google Scholar
Mandel, S. P. H. (1959). The stability of a multiple allelic system. Heredity 13, 289–302.Google Scholar
Owen, A. R. G. (1953). A genetical system admitting of two distinct stable equilibria under natural selection. Heredity 7, 97–102.Google Scholar
Penrose, L. S. (1949). The meaning of ‘fitness’ in human populations. Ann. Eugen. 14 301–304.Google Scholar
Purser, A. F. (1966). Increase in heterozygote frequency with differential fertility. Heredity 21, 322–327.CrossRefGoogle ScholarPubMed
Sheppard, P. M. (1952). A note on non-random mating in the moth Panaxia dominula (L) Heredity 6, 239–241.CrossRefGoogle Scholar
Sittmann, K., Wilson, W. O. & McFarland, L. Z. (1966). Buff and albino Japanese quail J. Heredity 96, 119–124.CrossRefGoogle Scholar