Towards a genetic theory for the evolution of the sex ratio III. Parental and sibling control of brood investment ratio under partial sib-mating
Theoretical Population BiologyPublished 1 August 1982
Marcy K. Uyenoyama, Bengt Bengtsson
Citations64
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SJR score0.56
SNIP0.74
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TL;DR
It is found that the “unbeatable” investment ratio obtained by W. D. Hamilton for his local mate competition model corresponds in the inbreeding models to a weak form ESS (evolutionary stable strategy) fixation state and also to the population investment ratio at certain internal equilibria of the models.
Abstract
Models of sex ratio evolution under partial sib-mating are investigated in haplodiploids and diploids. In the cases of parental and sibling control of the brood investment ratio between the sexes in diploids, we find that the “unbeatable” investment ratio obtained by W. D. Hamilton (Science 156, 477–488) for his local mate competition model corresponds in our inbreeding models to a weak form ESS (evolutionary stable strategy) fixation state and also to the population investment ratio at certain internal equilibria of our models. For haplodiploids, “strong form ESS” values exist under inbreeding in models involving father and sister control. Under brother and mother control, however, the ESS derived from local mate competition models is unstable in our inbreeding models to the introduction of any other investment ratio. We stress important qualitative differences between models involving local mate competition and inbreeding.
Keywords
Social SciencesAgricultural and Biological SciencesBiochemistry, Genetics and Molecular Biology
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