Bulletin of Mathematical Biology

, 69:329

On the Mechanistic Derivation of Various Discrete-Time Population Models

Authors

    • Department of MathematicsUniversity of Turku
  • Stefan A. H. Geritz
    • Department of Mathematics and StatisticsRolf Nevanlinna Institute, University of Helsinki
Original Paper

DOI: 10.1007/s11538-006-9126-4

Cite this article as:
Eskola, H.T.M. & Geritz, S.A.H. Bull. Math. Biol. (2007) 69: 329. doi:10.1007/s11538-006-9126-4

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.

Keywords

Beverton–Holt modelDiscrete-time population modelHassell modelRicker modelSkellam model

Copyright information

© Society for Mathematical Biology 2006