IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v391y2012i1p142-146.html
   My bibliography  Save this article

Population persistence in weakly-coupled sinks

Author

Listed:
  • Pamplona da Silva, D.J.
  • Kraenkel, R.A.

Abstract

We consider a single species population obeying a saturated growth model with spatial diffusion taken into account explicitly. Strong spatial heterogeneity is considered, represented by a position dependent reproduction rate. The geometry of the problem is that of two patches where the reproductive rate is positive, surrounded by unfavorable patches where it is negative. We focus on the particular case where the population would not persist in the single patches (sinks). We find by means of an analytical derivation, supplemented by a numerical calculation, the conditions for the persistence of the population in the compound system of weakly connected patches. We show that persistence is possible even if each individual patch is a sink where the population would go extinct. The results are of particular relevance for ecological management at the landscape level, showing that small patches may harbor populations as long as the connectivity with adjacent patches is maintained. Microcosmos experiences with bacteria could be performed for experimental verification of the predictions.

Suggested Citation

  • Pamplona da Silva, D.J. & Kraenkel, R.A., 2012. "Population persistence in weakly-coupled sinks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 142-146.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:1:p:142-146
    DOI: 10.1016/j.physa.2011.08.029
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437111006571
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2011.08.029?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.

    References listed on IDEAS

    as
    1. Kraenkel, R.A. & da Silva, D.J. Pamplona, 2010. "Stochastic Skellam model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(1), pages 60-66.
    2. Kumar, Niraj & Kenkre, V.M., 2011. "Effects of gradual spatial variation in resources on population extinction: Analytic calculations for abrupt transitions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(2), pages 257-262.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Pamplona da Silva, D.J. & Villar, R.P. & Ramos, L.C., 2017. "Isolation effects in a system of two mutually communicating identical patches," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 494-499.
    2. Pamplona da Silva, D.J., 2018. "Crossing-effect in non-isolated and non-symmetric systems of patches," Ecological Modelling, Elsevier, vol. 384(C), pages 168-172.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Pamplona da Silva, D.J. & Villar, R.P. & Ramos, L.C., 2017. "Isolation effects in a system of two mutually communicating identical patches," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 494-499.
    2. Pamplona da Silva, D.J., 2018. "Crossing-effect in non-isolated and non-symmetric systems of patches," Ecological Modelling, Elsevier, vol. 384(C), pages 168-172.

    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:phsmap:v:391:y:2012:i:1:p:142-146. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc 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 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: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.