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L.: Optimal life-history strategies in seasonal consumer-resource dynamics. Accepted in Evolution (2011

By A. R. Akhmetzhanov, F. Grognard and L. Mailleret

Abstract

The interplay between individual adaptive life histories and populations dynamics is an important issue in ecology. In this context, we considered a seasonal consumer-resource model with non-overlapping generations. We focused on the consumers decision-making process through which they maximize their reproductive output via a differential investment into foraging for resources or reproducing. Our model takes a semi-discrete form, and is composed of a continuous time within-season part, similar to a dynamic model of energy allocation, and of a discrete time part, depicting the between seasons reproduction and mortality processes. We showed that the optimal foraging-reproduction strategies of the consumers may be ‘determinate ’ or ‘indeterminate ’ depending on the season length. More surprisingly, it depended on the consumers population density as well, with large densities promoting indeterminacy. A bifurcation analysis showed that the long-term dynamics produced by this model were quite rich, ranging from both populations ’ extinction, co-existence at some season-to-season equilibrium or on (quasi)-periodic motions, to initial condition dependent dynamics. Interestingly, we observed that any long-term sustainable situation corresponds to indeterminate consumers ’ strategies. Finally, a comparison with a 1 model involving typical non-optimal consumers highlighted the stabilizing effects of the optimal life histories of the consumers

Topics: foraging-reproduction
Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.372.1257
Provided by: CiteSeerX
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