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Mixed self and random mating at two loci

  • B. S. Weir (a1) and C. Clark Cockerham (a2)

Summary

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.

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References

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Bennett, J. H. & Binet, F. E. (1956). Association between Mendelian factors with mixed selfing and random mating. Heredity 10, 5155.
Binet, F. E., Clark, A. M. & Clifford, H. T. (1959). Correlation due to linkage in certain wild plants. Genetics 44, 513.
Cockerham, C. Clark & Rawlings, J. O. (1967). Apparent heterosis of a neutral gene with inbreeding. Ciencia E Cultura 19, 8994.
Cockerham, C. Clark & Weir, B. S. (1973). Descent measures for two loci with some applications. Theoretical Population Biology 4 (in the Press).
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.
Geiringer, H. (1944). On the probability theory of linkage in Mendelian heredity. Annals of Mathematical Statistics 15, 2557.
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.
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.
Karlin, S. (1969). Equilibrium Behaviour of Population Genetic Models with Non-random Mating. New York: Gordon and Breach.
Kimura, M. (1958). Zygotic frequencies in a partially self-fertilizing population. Annual Report of the National Institute of Genetics, Japan 8, 104105.
Narain, P. (1966). Effect of linkage on homozygosity of a population under mixed selfing and random mating. Genetics 54, 303314.
Weir, B. S. & Cockerham, C. Clark (1969). Group inbreeding with two linked loci. Genetics 63, 711742.
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Genetics Research
  • ISSN: 0016-6723
  • EISSN: 1469-5073
  • URL: /core/journals/genetics-research
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