Extension of the Hardy‐Weinberg Law to assortative mating

@article{Price1971ExtensionOT,
  title={Extension of the Hardy‐Weinberg Law to assortative mating},
  author={GEORGE R. Price},
  journal={Annals of Human Genetics},
  year={1971},
  volume={34}
}
  • G. Price
  • Published 1 May 1971
  • Psychology
  • Annals of Human Genetics
A relation is given between the degree of assortative mating in parents, which is measured by a weighted covariance, and the degree of departure from Hardy‐Weinberg conditions in offspring. 

A model of assortative mating

  • A. Stark
  • Psychology
    Annals of human genetics
  • 1976
It is shown that a generalization of the Hardy-Weinberg law of the proportions of genotypes of the kind given by Wright (1922) is maintained in equilibrium by a pattern of assortative mating

Equilibrium stability of a diffusion process in population genetics

  • C. Rossi
  • Mathematics
    Annals of human genetics
  • 1979
It is rigorously proved that this model of a continuously reproducing population with phenotypic assortative mating for a pair of dominant-recessive autosomal genes admits of stable equilibria which lie above the Hardy--Weinberg parabola in the de Finetti diagram.

Quantifying the prevalence of assortative mating in a human population

For the first time, empirical evidence allowed to construct the frequency distribution of a genetic relatedness index between the parents of about half a million individuals living in the UK, suggesting the conclusion that both, assortative and random mating, are evolutionary stable strategies.

Testing departure from Hardy-Weinberg proportions.

This chapter demonstrates how the chi-square test and exact test of Hardy-Weinberg proportions can be performed step-by-step using the popular software programs SAS, R, and PLINK, which have been widely used in genetic association studies, along with numerical examples.

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Inclusive fitness theory with its expansions to include assortative and economic considerations is more general, powerful and relevant in analyzing social phenomena than kin selection theory withIts emphasis on genetic relatedness.

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  • K. Jaffe
  • Biology, Economics
    SpringerPlus
  • 2016
An Extended Inclusive Fitness Theory (EIFT) synthesizes the natural selection forces acting on biological evolution and on human economic interactions by assuming that natural selection driven by inclusive fitness produces agents with utility functions that exploit assortation and synergistic opportunities.

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An Extend Inclusive Fitness Theory is proposed that includes in the fitness calculation all direct and indirect benefits an individual obtains by its own actions, and through interactions with kin and with genetically unrelated individuals, providing an integrated framework for the study of both, biological evolution of social behavior and economic market dynamics.

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EIFT helps to promote an interdisciplinary cross-fertilization of the understanding of synergy by allowing to describe the role for division of labor in the emergence of social synergies, providing an integrated framework for the study of both biological evolution of social behavior and economic market dynamics.

Extension of covariance selection mathematics

  • G. Price
  • Mathematics
    Annals of human genetics
  • 1972
The mathematics given here applies not only to genetical selection but to selection in general, intended mainly for use in deriving general relations and constructing theories, and to clarify understanding of selection phenomena, rather than for numerical calculation.

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It is well known that, in a sample from an infinite population in Hardy-Weinberg equilibrium, the expected genotypic frequencies follow the same equilibrium. Since, however, we do not usually know

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If in fact the polymorphism is kept in existence by heterozygote advantage, then the proportions of G, B, observed should theoretically be greater than expected from the Hardy-Weinberg formula.

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