Abstract
The reproductive strategy of a female distributing her eggs over many patches comprises decisions on (1) how many eggs to deposit in a given patch, (2) what sex ratio to produce, and (3) how many patches to visit. In this article simultaneous evolutionarily stable strategy (ESS) solutions are presented for cases in which there is local mate competition and these three decisions interact, a situation that has not been studied previously. Y. Yamaguchi developed a model of optimum sex allocation for foundresses that contribute different numbers of eggs to one patch. Yamaguchi's model is extended here to examine the more general case in which females distribute their eggs over several patches. The key element is that females that visit a larger number of patches (relative to other females) and thus produce smaller clutches in each patch should produce a (relatively) smaller proportion of daughters. These females obtain a higher fitness per egg but invest more time in traveling. A simultaneous ESS is obtained ...
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