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

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  • Anazawa, Masahiro

Abstract

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.

Suggested Citation

  • Anazawa, Masahiro, 2009. "Bottom-up derivation of discrete-time population models with the Allee effect," Theoretical Population Biology, Elsevier, vol. 75(1), pages 56-67.
    • Handle: RePEc:eee:thpobi:v:75:y:2009:i:1:p:56-67
    DOI: 10.1016/j.tpb.2008.11.001
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    Cited by:

    1. Anazawa, Masahiro, 2012. "Bottom-up derivation of population models for competition involving multiple resources," Theoretical Population Biology, Elsevier, vol. 81(2), pages 158-167.
    2. Anazawa, Masahiro, 2018. "Interplay between habitat subdivision and minimum resource requirement in two-species competition," Theoretical Population Biology, Elsevier, vol. 120(C), pages 90-102.
    3. Anazawa, Masahiro, 2010. "The mechanistic basis of discrete-time population models: The role of resource partitioning and spatial aggregation," Theoretical Population Biology, Elsevier, vol. 77(3), pages 213-218.

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