On the Mechanistic Derivation of Various Discrete-Time Population Models

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...

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Bibliographic Details
Published in:Bulletin of mathematical biology 2007, Vol.69 (1), p.329-346
Main Authors: Eskola, Hanna T. M, Geritz, Stefan A. H
Format: Article
Language:English
Subjects:
Animals
Behavior, Animal
Ecosystem
Models, Biological
Numerical Analysis, Computer-Assisted
Population Dynamics
Reproduction
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Summary: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.
ISSN:0092-8240
1522-9602
DOI:10.1007/s11538-006-9126-4