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Deterministic genetic models in varying environments

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Summary

J. B. S. Haldane and S. D. Jayakar [J. Genet. 58, 237–242 (1963)] argue that, when genotype fitnesses fluctuate from generation to generation, if the geometric and arithmetic means of the fitnesses satisfy certain inequalities, there will be a protected polymorphism. Their assertions are biologically interesting, but their mathematical analysis is not sufficient to support their conclusions. We present a firm mathematical analysis and several examples that demonstrate the need for stronger hypotheses and, in some cases, weaker conclusions.

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Authors and Affiliations

  1. Department of Mathematics, Iowa State University, 50011, Ames, IA, USA

    James L. Cornette

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  1. James L. Cornette
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Additional information

Journal Paper No. J-10136 of the Iowa Agriculture and Home Economics Experiment Station, Ames, Iowa. Project 1669. Partial support by National Institutes of Health, Grant GM 13827

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Cornette, J.L. Deterministic genetic models in varying environments. J. Math. Biology 12, 173–186 (1981). https://doi.org/10.1007/BF00276127

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  • DOI: https://doi.org/10.1007/BF00276127

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