On the Mechanistic Derivation of Various Discrete-Time Population Models

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


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.


Beverton–Holt model Discrete-time population model Hassell model Ricker model Skellam model 

Copyright information

© Society for Mathematical Biology 2006

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of TurkuTurkuFinland
  2. 2.Department of Mathematics and StatisticsRolf Nevanlinna Institute, University of HelsinkiHelsinkiFinland

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