Evolutionary dynamics can be chaotic: A first example

Dercole F & Rinaldi S (2010). Evolutionary dynamics can be chaotic: A first example. International Journal of Bifurcation and Chaos 20 (11): 3473-3485. DOI:10.1142/S0218127410027829.

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Abstract

We present in this paper the first example of chaotic evolutionary dynamics in biology. We consider aLotkaVolterra 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 evolutioary dynamics.

Item Type: Article
Uncontrolled Keywords: Adaptive dynamics; deterministic chaos; evolution; population dynamics; strange attractor
Research Programs: Evolution and Ecology (EEP)
Bibliographic Reference: International Journal of Bifurcation and Chaos; 20(11):3473-3485 (November 2010)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 08:43
Last Modified: 23 Feb 2016 12:25
URI: http://pure.iiasa.ac.at/9158

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