Individual optimization efforts and population dynamics: a mathematical model for the evolution of resource allocation strategies, with applications to reproductive and mating systems |
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| Authors: | Jürgen Jost John Pepper |
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| Affiliation: | (1) Max Planck Institute for Mathematics in the Sciences, Inselstr. 22, 04103 Leipzig, Germany;(2) Department of Ecology and Evolutionary Biology, University of Arizona, Biosciences West, 1041 E.Lovell, Tucson, AZ 85721-0088, USA |
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| Abstract: | We develop a formal framework for the optimal allocation of limited resources that includes and clarifies the interplay between individual optimization and the resulting effects at the population level. As an example, in regard to the evolution of sexual recombination, the paradox of the twofold cost of sex is avoided by distinguishing between the evolution of recombination and the subsequent emergence and stability of different mating types as a result of individual optimization within a population that benefits from recombination. |
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| Keywords: | Resource allocation Optimization Population dynamics Sexual recombination Mating types |
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