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EVOLUTIONARY DYNAMICS CAN BE CHAOTIC: A FIRST EXAMPLE

FABIO DERCOLE

DEI, Politecnico di Milano, Via Ponzio 34/5, 20133 Milano, Italy

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SERGIO RINALDI

DEI, Politecnico di Milano, Via Ponzio 34/5, 20133 Milano, Italy

Evolution and Ecology Program, International Institute for Applied Systems Analysis, 2361 Laxenburg, Austria

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https://doi.org/10.1142/S0218127410027829Cited by:16 (Source: Crossref)

Abstract

We present in this paper the first example of chaotic evolutionary dynamics in biology. We consider a Lotka–Volterra tritrophic food chain composed of a resource, its consumer, and a predator species, each characterized by a single adaptive phenotypic trait, and we show that for suitable modeling and parameter choices the evolutionary trajectories approach a strange attractor in the three-dimensional trait space. The study is performed through the bifurcation analysis of the so-called canonical equation of Adaptive Dynamics, the most appropriate modeling approach to long-term evolutionary dynamics.

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