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Evolutionarily stable strategies of diploid populations with semi-dominant inheritance patterns

Published online by Cambridge University Press:  14 July 2016

R. Cressman  and
W. G. S. Hines
R. Cressman*
Affiliation:
University of Guelph
W. G. S. Hines*
Affiliation:
University of Guelph
*
∗ Postal address: Department of Mathematics and Statistics, University of Guelph, Guelph, Ontario, Canada, N1G 2W1.
∗ Postal address: Department of Mathematics and Statistics, University of Guelph, Guelph, Ontario, Canada, N1G 2W1.
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Abstract

The assumption of arbitrary and biologically implausible inheritance patterns in sexual diploid populations can yield population models in which convergence of a population's mean strategy to an evolutionarily stable strategy will not occur, even though this strategy is attainable with the correct choice of gametic frequencies. The present paper investigates the effect of imposing a simplifying and biologically reasonable restriction on the assumed inheritance patterns; namely, that dominance or underdominance occurs.

Keywords

SEXUAL DIPLOID POPULATIONSTRATEGY DOMINANCESTRATEGY UNDER DOMINANCEANIMAL CONFLICT MODELSCOMPLEX POPULATIONS
Type
Research Papers
Information
Journal of Applied Probability , Volume 21 , Issue 1 , March 1984 , pp. 1 - 9
Copyright
Copyright © Applied Probability Trust 1984 

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Footnotes

This research was partially supported by NSERC operating grants A5247 (R.C.) and A6187 (W.G.S.H.)

References

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