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On the Mechanistic Derivation of Various Discrete-Time Population Models

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Abstract

We present a derivation of various discrete-time population models within a single unifying mechanistic context. By systematically varying the within-year patterns of reproduction and aggression between individuals we can derive various discrete-time population models. These models include classical examples such as the Ricker model, the Beverton--Holt model, the Skellam model, the Hassell model, and others. Some of these models until now lacked a good mechanistic interpretation or have been derived in a different context. By using this mechanistic approach, the model parameters can be interpreted in terms of individual behavior.

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Authors and Affiliations

  1. Department of Mathematics, University of Turku, Turku, 20014, Finland

    Hanna T. M. Eskola

  2. Department of Mathematics and Statistics, Rolf Nevanlinna Institute, University of Helsinki, 00014, Helsinki, Finland

    Stefan A. H. Geritz

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  1. Hanna T. M. Eskola
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  2. Stefan A. H. Geritz
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Correspondence to Hanna T. M. Eskola.

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Eskola, H.T.M., Geritz, S.A.H. On the Mechanistic Derivation of Various Discrete-Time Population Models. Bull. Math. Biol. 69, 329–346 (2007). https://doi.org/10.1007/s11538-006-9126-4

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  • DOI: https://doi.org/10.1007/s11538-006-9126-4

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