IDEAS home Printed from https://ideas.repec.org/a/wly/riskan/v24y2004i4p795-802.html
   My bibliography  Save this article

Allee Effects and the Risk of Biological Invasion

Author

Listed:
  • John M. Drake

Abstract

The Allee effect is a nonlinear phenomenon exhibited in the population dynamics of sparse populations in which the per capita population growth rate increases with increasing population density. In sufficiently sparse populations, the Allee effect may lead to extinction and is known to generate a threshold in the probability of establishment when presented as a function of introduced population size or density. As introduced populations are generally small, Allee effects are probably common in biological invasions and their consideration is necessary for accurately assessing the risk of invasion by many species, including all sexually reproducing species. Bythotrephes longimanus, an invasive, freshwater, cladoceran zooplankter from Europe, is one such species. Here, I review a previously published model of the Allee effect for continuously sexually reproducing species. Then, I develop a new model for seasonally parthenogenetic species such as Bythotrephes, and thereby demonstrate the potential consequences of Allee effects. This result underscores the importance of considering nonlinear phenomena, including thresholds, when conducting risk analysis for biological introductions.

Suggested Citation

  • John M. Drake, 2004. "Allee Effects and the Risk of Biological Invasion," Risk Analysis, John Wiley & Sons, vol. 24(4), pages 795-802, August.
  • Handle: RePEc:wly:riskan:v:24:y:2004:i:4:p:795-802
    DOI: 10.1111/j.0272-4332.2004.00479.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.0272-4332.2004.00479.x
    Download Restriction: no

    File URL: https://libkey.io/10.1111/j.0272-4332.2004.00479.x?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
    ---><---

    Citations

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


    Cited by:

    1. Carol A. Stepien & Joshua E. Brown & Matthew E. Neilson & Mark A. Tumeo, 2005. "Genetic Diversity of Invasive Species in the Great Lakes Versus Their Eurasian Source Populations: Insights for Risk Analysis," Risk Analysis, John Wiley & Sons, vol. 25(4), pages 1043-1060, August.
    2. Saifuddin, Md. & Biswas, Santanu & Samanta, Sudip & Sarkar, Susmita & Chattopadhyay, Joydev, 2016. "Complex dynamics of an eco-epidemiological model with different competition coefficients and weak Allee in the predator," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 270-285.
    3. Wright, R.W., 2008. "The geometry of transient crashes and their dependence on demographic rates," Theoretical Population Biology, Elsevier, vol. 73(2), pages 300-306.
    4. Heikkila, Jaakko, 2006. "Economics of invasive alien species: pre-emptive versus reactive control," Discussion Papers 11865, MTT Agrifood Research Finland.

    More about this item

    Statistics

    Access and download statistics

    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:wly:riskan:v:24:y:2004:i:4:p:795-802. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1111/(ISSN)1539-6924 .

    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.