IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0167514.html
   My bibliography  Save this article

A Stable Finite-Difference Scheme for Population Growth and Diffusion on a Map

Author

Listed:
  • W P Petersen
  • S Callegari
  • G R Lake
  • N Tkachenko
  • J D Weissmann
  • Ch P E Zollikofer

Abstract

We describe a general Godunov-type splitting for numerical simulations of the Fisher–Kolmogorov–Petrovski–Piskunov growth and diffusion equation on a world map with Neumann boundary conditions. The procedure is semi-implicit, hence quite stable. Our principal application for this solver is modeling human population dispersal over geographical maps with changing paleovegetation and paleoclimate in the late Pleistocene. As a proxy for carrying capacity we use Net Primary Productivity (NPP) to predict times for human arrival in the Americas.

Suggested Citation

  • W P Petersen & S Callegari & G R Lake & N Tkachenko & J D Weissmann & Ch P E Zollikofer, 2017. "A Stable Finite-Difference Scheme for Population Growth and Diffusion on a Map," PLOS ONE, Public Library of Science, vol. 12(1), pages 1-19, January.
    • Handle: RePEc:plo:pone00:0167514
    DOI: 10.1371/journal.pone.0167514
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0167514
    Download Restriction: no
    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0167514&type=printable
    Download Restriction: no
    File URL: https://libkey.io/10.1371/journal.pone.0167514?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
    ---><---

    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:plo:pone00:0167514. 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: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    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.