On the optimal sex-ratio: A stability analysis based on a characterization for one-locus multiallele viability models |
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| Authors: | Samuel Karlin Sabin Lessard |
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| Institution: | (1) Department of Mathematics, Stanford University, 94305 Stanford, CA, USA;(2) Département de Mathématiques et de Statistique, Université de Montréal, H3C 3J7 Montréal, Québec, Canada |
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| Abstract: | Theoretical one-locus multiallele sex-determination models are found to admit even sex ratio equilibrium surfaces besides the equilibria for corresponding one-locus multiallele viability models. Both types of equilibria can be defined in terms of a single spectral radius function, the former corresponding to level surfaces and the latter to critical points. The stable equilibria in the corresponding viability models are associated with the local maxima, and the equilibrium structures for the sex-determination models can be fully described. Several optimality properties of the even-sex-ratio equilibrium surfaces can be deduced.Supported in part by NIH Grant 5R01 GM10452-20 and NSF Grant MCS79-24310 |
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| Keywords: | Sex ratio evolutionary stability optimality multiallele viability models |
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