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Bottom-up derivation of population models for competition involving multiple resources

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  • Anazawa, Masahiro

Abstract

This paper provides first-principles derivations of population models for competition involving multiple resources with different competition types, based on resource partitioning between individuals. The following two cases are investigated. The first is the case in which the resource competed for and its competition type change depending on life stages from scramble to contest competition, or from contest to scramble competition. The second is the case in which individuals compete for two resources simultaneously with scramble and contest types, respectively. In both cases, population models are derived analytically, and in particular, the Hassell model is derived in the second case. The nature of reproduction curves and the stability properties of three population models derived are compared with each other. These models provide three representative models for competition involving both scramble and contest types.

Suggested Citation

  • Anazawa, Masahiro, 2012. "Bottom-up derivation of population models for competition involving multiple resources," Theoretical Population Biology, Elsevier, vol. 81(2), pages 158-167.
    • Handle: RePEc:eee:thpobi:v:81:y:2012:i:2:p:158-167
    DOI: 10.1016/j.tpb.2011.11.007
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    References listed on IDEAS

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    1. 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.
    2. 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.
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    Cited by:

    1. 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.

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    1. 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.
    2. 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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