A1 Refereed original research article in a scientific journal
On the mechanistic underpinning of discrete-time population models with Allee effect
Authors: Eskola HTM, Parvinen K
Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE
Publication year: 2007
Journal:: Theoretical Population Biology
Journal name in source: THEORETICAL POPULATION BIOLOGY
Journal acronym: THEOR POPUL BIOL
Volume: 72
Issue: 1
First page : 41
Last page: 51
Number of pages: 11
ISSN: 0040-5809
DOI: https://doi.org/10.1016/j.tpb.2007.03.004
Abstract
The Allee effect means reduction in individual fitness at low population densities. There are many discrete-time population models with an Allee effect in the literature, but most of them are phenomenological. Recently, Geritz and Kisdi [2004. On the mechanistic underpinning of discrete-time population models with complex dynamics. J. Theor. Biol. 228, 261-269] presented a mechanistic underpinning of various discrete-time population models without an Allee effect. Their work was based on a continuous-time resource-consumer model for the dynamics within a year, from which they derived a discrete-time model for the between-year dynamics. In this article, we obtain the Allee effect by adding different mate finding mechanisms to the within-year dynamics. Further, by adding cannibalism we obtain a higher variety of models. We thus present a generator of relatively realistic, discrete-time Allee effect models that also covers some currently used phenomenological models driven more by mathematical convenience. (c) 2007 Elsevier Inc. All rights reserved.
The Allee effect means reduction in individual fitness at low population densities. There are many discrete-time population models with an Allee effect in the literature, but most of them are phenomenological. Recently, Geritz and Kisdi [2004. On the mechanistic underpinning of discrete-time population models with complex dynamics. J. Theor. Biol. 228, 261-269] presented a mechanistic underpinning of various discrete-time population models without an Allee effect. Their work was based on a continuous-time resource-consumer model for the dynamics within a year, from which they derived a discrete-time model for the between-year dynamics. In this article, we obtain the Allee effect by adding different mate finding mechanisms to the within-year dynamics. Further, by adding cannibalism we obtain a higher variety of models. We thus present a generator of relatively realistic, discrete-time Allee effect models that also covers some currently used phenomenological models driven more by mathematical convenience. (c) 2007 Elsevier Inc. All rights reserved.
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