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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1981 Aug;78(8):5036–5040. doi: 10.1073/pnas.78.8.5036

Population genetic theory of kin selection: Multiple alleles at one locus

Marcy K Uyenoyama , Marcus W Feldman , Laurence D Mueller
PMCID: PMC320327  PMID: 16593074

Abstract

Exact population genetic models of one-locus sib-to-sib kin selection with an arbitrary number of alleles are studied. First, a natural additive scaling is established for the genotypic value associated with probabilities of performance of altruism. Two classes of polymorphic equilibria are possible, one corresponding to the usual one-locus viability equilibria and the other reflecting the kin-selection assumptions of the model. At both, the covariance between additive genotypic value and genotypic fitness vanish. Further, the sign of this covariance determines the fate of rare alleles introduced near the first class of equilibria. In addition, the covariance explains the differences between Hamilton's rule, which results from Hardy-Weinberg assumptions, and exact initial increase conditions.

Keywords: additive genetic variance, regression among relatives

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

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