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The evolution of oscillatory behavior in age-structured species

Greenman, J.V., Benton, T.G., Boots, M. and White, A.R. (2005) The evolution of oscillatory behavior in age-structured species. American Naturalist, 166 (1). pp. 68-78. ISSN 0003-0147

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Abstract

A major challenge in ecology is to explain why so many species show oscillatory population dynamics and why the oscillations commonly occur with particular periods. The background environment, through noise or seasonality, is one possible driver of these oscillations, as are the components of the trophic web with which the species interacts. However, the oscillation may also be intrinsic, generated by density-dependent effects on the life history. Models of structured single-species systems indicate that a much broader range of oscillatory behavior than that seen in nature is theoretically possible. We test the hypothesis that it is selection that acts to constrain the range of periods. We analyze a nonlinear single-species matrix model with density dependence affecting reproduction and with trade-offs between reproduction and survival. We show that the evolutionarily stable state is oscillatory and has a period roughly twice the time to maturation, in line with observed patterns of periodicity. The robustness of this result to variations in trade-off function and density dependence is tested.

Item Type: Article
Copyright, Publisher and Additional Information: © 2005 by The University of Chicago. Reproduced in accordance with the publisher's self-archiving policy. Additional computer code is available from the publisher's web site.
Keywords: age-structured populations, periodicity, delayed density dependence, adaptive dynamics, evolutionarily stable strategy
Institution: The University of Sheffield, The University of Leeds
Academic Units: The University of Sheffield > Faculty of Science (Sheffield) > School of Biological Sciences (Sheffield) > Department of Animal and Plant Sciences (Sheffield)
The University of Leeds > Faculty of Environment (Leeds) > Earth and Biosphere Institute (Leeds)
Depositing User: Repository Officer
Date Deposited: 26 Jun 2006
Last Modified: 06 Jun 2014 08:13
Published Version: http://www.journals.uchicago.edu/AN/journal/issues...
Status: Published
Publisher: University of Chicago Press
Refereed: Yes
URI: http://eprints.whiterose.ac.uk/id/eprint/1390

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