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Can possible evolutionary outcomes be determined directly from the population dynamics?

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  • Hoyle, Andrew
  • Bowers, Roger G.

Abstract

Traditionally, to determine the possible evolutionary behaviour of an ecological system using adaptive dynamics, it is necessary to calculate the fitness and its derivatives at a singular point. We investigate the claim that the possible evolutionary behaviour can be predicted directly from the population dynamics, without the need for calculation, by applying three criteria — one based on the form of the density dependent rates and two on the role played by the evolving parameters. Taking a general continuous time model, with broad ecological range, we show that the claim is true. Initially, we assume that individuals enter in class 1 and move through population classes sequentially; later we relax these assumptions and find that the criteria still apply. However, when we consider models where the evolving parameters appear non-linearly in the dynamics, we find some aspects of the criteria fail; useful but weaker results on possible evolutionary behaviour now apply.

Suggested Citation

  • Hoyle, Andrew & Bowers, Roger G., 2008. "Can possible evolutionary outcomes be determined directly from the population dynamics?," Theoretical Population Biology, Elsevier, vol. 74(4), pages 311-323.
    • Handle: RePEc:eee:thpobi:v:74:y:2008:i:4:p:311-323
    DOI: 10.1016/j.tpb.2008.09.002
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    References listed on IDEAS

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    1. J.A.J. Metz & S.D. Mylius & O. Diekmann, 1996. "When Does Evolution Optimize? On the Relation Between Types of Density Dependence and Evolutionarily Stable Life History Parameters," Working Papers wp96004, International Institute for Applied Systems Analysis.
    2. M. Doebeli & U. Dieckmann, 2000. "Evolutionary Branching and Sympatric Speciation Caused by Different Types of Ecological Interactions," Working Papers ir00040, International Institute for Applied Systems Analysis.
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