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Mixed self and random mating at two loci

Published online by Cambridge University Press:  14 April 2009

B. S. Weir
Affiliation:
Department of Mathematics, Massey University, Palmerston North, New Zealand
C. Clark Cockerham
Affiliation:
Department of Statistics, North Carolina State University Raleigh, North Carolina 27607

Summary

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An infinite population practising a constant amount of selfing and random mating is studied. The effects of the mating system on two linked loci with an arbitrary number of neutral alleles are determined. Expressions are obtained for the two-locus descent measure, and hence genotypic frequencies and disequilibria functions, in any generation. The nature of the equilibrium population is deduced. The special cases of pure selfing or pure random mating and completely linked or completely unlinked loci are considered separately.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1973

References

REFERENCES

Bennett, J. H. & Binet, F. E. (1956). Association between Mendelian factors with mixed selfing and random mating. Heredity 10, 5155.CrossRefGoogle Scholar
Binet, F. E., Clark, A. M. & Clifford, H. T. (1959). Correlation due to linkage in certain wild plants. Genetics 44, 513.CrossRefGoogle ScholarPubMed
Cockerham, C. Clark & Rawlings, J. O. (1967). Apparent heterosis of a neutral gene with inbreeding. Ciencia E Cultura 19, 8994.Google Scholar
Cockerham, C. Clark & Weir, B. S. (1973). Descent measures for two loci with some applications. Theoretical Population Biology 4 (in the Press).CrossRefGoogle ScholarPubMed
Garber, M. J. (1951). Approach to genotypic equilibrium with varying percentages of self-fertilization and cross-fertilization (one autosomal gene-pair). Journal of Heredity 42, 299300.CrossRefGoogle Scholar
Geiringer, H. (1944). On the probability theory of linkage in Mendelian heredity. Annals of Mathematical Statistics 15, 2557.CrossRefGoogle Scholar
Ghai, G. L. (1964). The genotypic composition and variability in plant populations under mixed self-fertilization and random mating. Journal of the Indian Society of Agricultural Statistics 16, 94125.Google Scholar
Ghai, G. L. (1966). Loss of heterozygosity in populations under mixed random mating and selfing. Journal of the Indian Society of Agricultural Statistics 18, 7381.Google Scholar
Karlin, S. (1969). Equilibrium Behaviour of Population Genetic Models with Non-random Mating. New York: Gordon and Breach.Google Scholar
Kimura, M. (1958). Zygotic frequencies in a partially self-fertilizing population. Annual Report of the National Institute of Genetics, Japan 8, 104105.Google Scholar
Narain, P. (1966). Effect of linkage on homozygosity of a population under mixed selfing and random mating. Genetics 54, 303314.CrossRefGoogle ScholarPubMed
Weir, B. S. & Cockerham, C. Clark (1969). Group inbreeding with two linked loci. Genetics 63, 711742.Google Scholar