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When Does Evolution Optimize? On the Relation Between Types of Density Dependence and Evolutionarily Stable Life History Parameters

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  • J.A.J. Metz
  • S.D. Mylius
  • O. Diekmann

Abstract

In this paper we (i) put forward a simple notational device clarifying the, undeniable but generally ignored, role of density dependence in determining evolutionarily stable life histories, (ii) use this device to derive necessary and sufficient conditions for (a) the existence of an evolutionary extremization principle, and (b) the reduction of such a principle to straight r- or RO-maximization, (iii) use the latter results to analyze a simple concrete example showing that the details of the population dynamical embedding may influence our evolutionary predictions to an unexpected extent.

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  • 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.
    • Handle: RePEc:wop:iasawp:wp96004
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    References listed on IDEAS

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    1. R.J. Aumann & S. Hart (ed.), 2002. "Handbook of Game Theory with Economic Applications," Handbook of Game Theory with Economic Applications, Elsevier, edition 1, volume 3, number 3.
    2. Van Damme, Eric, 1994. "Evolutionary game theory," European Economic Review, Elsevier, vol. 38(3-4), pages 847-858, April.
    3. J.A.J. Metz & S.A.H. Geritz & G. Meszena & F.J.A. Jacobs & J.S.van Heerwaarden, 1995. "Adaptive Dynamics: A Geometrical Study of the Consequences of Nearly Faithful Reproduction," Working Papers wp95099, International Institute for Applied Systems Analysis.
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    Cited by:

    1. G. Meszena & J.A.J. Metz, 1999. "Species Diversity and Population Regulation: The Importance of Environmental Feedback Dimensionality," Working Papers ir99045, International Institute for Applied Systems Analysis.
    2. J. Ylikarjula & M. Heino & U. Dieckmann, 1999. "Ecology and Adaptation of Stunted Growth in Fish," Working Papers ir99050, International Institute for Applied Systems Analysis.
    3. M. Heino & J.A.J. Metz & V. Kaitala, 1996. "Evolution of Mixed Maturation Strategies in Semelparous Life-histories: the Crucial Role of Dimensionality of Feedback Environment," Working Papers wp96126, International Institute for Applied Systems Analysis.
    4. 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.
    5. M. Heino, 1997. "Evolution of Mixed Reproductive Strategies in Simple Life-History Models," Working Papers ir97063, International Institute for Applied Systems Analysis.
    6. Lindh, Magnus & Manzoni, Stefano, 2021. "Plant evolution along the ‘fast–slow’ growth economics spectrum under altered precipitation regimes," Ecological Modelling, Elsevier, vol. 448(C).
    7. Witting, Lars, 2017. "The natural selection of metabolism and mass selects allometric transitions from prokaryotes to mammals," Theoretical Population Biology, Elsevier, vol. 117(C), pages 23-42.

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