4.0 Article

Bottom-up derivation of discrete-time population models with the Allee effect

Journal

THEORETICAL POPULATION BIOLOGY
Volume 75, Issue 1, Pages 56-67

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.tpb.2008.11.001

Keywords

Allee effect; First-principles derivation; Individual-based derivation; Site-based framework

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This paper presents a framework in which various single-species discrete-time population models exhibiting the Allee effect are derived from first principles. Here, the Allee effect means a reduction in individual fitness at low population sizes. The derivation is based on the distribution of female and male individuals among discrete resource sites, in addition to competitive and cooperative interaction among individuals. These derivations show how the derived population models depend on the type and the intensity of competition, and the degree of clustering of individuals. Along with these models exhibiting the Allee effect, this paper also presents first-principles derivation of population models without the Allee effect which include a parameter relating to the intensity of competition. (C) 2008 Elsevier Inc. All rights reserved.

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