IDEAS home Printed from
MyIDEAS: Login to save this paper or follow this series

Bifurcations and Chaos in Ecology: Lynx Returns Revisited

  • Javier G. P. Gamarra
  • Ricard V. Solé
Registered author(s):

    One of the most popular data sets in ecology, that of lynx fur returns, is analyzed in order to look for evidence for a bifurcation process. This bifurcation seems to be present from the observation of a shift in the amplitude of oscillations of the lynx time series. The possibility for such a bifurcation was first proposed by Schaffer in 1985. This author suggested that a possible source for the qualitative change of lynx's fluctuations was an increased trapping effort, which eventually lead to high-amplitude, chaotic dynamics. By studying the available information from the Hudson Bay Company records, we have found evidence for such an increased trapping pressure which rapidly rose close to the shift from low-amplitude to large-amplitude fluctuations. Although an increase in the top-predator mortality in a three-species food web typically leads to simpler dynamics and eventual predator extinction, here we show that a recent model involving a minimum bound in the lynx population, due to the presence of alternative preys in the lynx diet, consistently supports the presence of a bifurcation phenomenon.

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below under "Related research" whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Paper provided by Santa Fe Institute in its series Working Papers with number 99-10-067.

    in new window

    Date of creation: Oct 1999
    Date of revision:
    Handle: RePEc:wop:safiwp:99-10-067
    Contact details of provider: Postal: 1399 Hyde Park Road, Santa Fe, New Mexico 87501
    Web page:

    More information through EDIRC

    No references listed on IDEAS
    You can help add them by filling out this form.

    This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

    When requesting a correction, please mention this item's handle: RePEc:wop:safiwp:99-10-067. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Thomas Krichel)

    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.

    If references are entirely missing, you can add them using this form.

    If the full references list an item that is present in RePEc, but the system did not link to it, you can help with 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 profile, as there may be some citations waiting for confirmation.

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

    This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.