IDEAS home Printed from https://ideas.repec.org/a/eee/thpobi/v75y2009i1p56-67.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0040580908001214
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.tpb.2008.11.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    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, 2012. "Bottom-up derivation of population models for competition involving multiple resources," Theoretical Population Biology, Elsevier, vol. 81(2), pages 158-167.
    3. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:thpobi:v:75:y:2009:i:1:p:56-67. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/intelligence .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.