IDEAS home Printed from https://ideas.repec.org/a/eee/ecomod/v215y2008i4p287-292.html
   My bibliography  Save this article

The Time Invariance Principle, the absence of ecological chaos, and a fundamental pitfall of discrete modeling

Author

Listed:
  • Deng, Bo

Abstract

This paper is to show that most discrete models used for population dynamics in ecology are inherently pathological that their predications cannot be independently verified by experiments because they violate a fundamental principle of physics. The result is used to tackle an on-going controversy regarding ecological chaos. Another implication of the result is that all dynamical systems must be modeled by differential equations. As a result it suggests that researches based on discrete modeling must be closely scrutinized and the teaching of calculus and differential equations must be emphasized for students of biology.

Suggested Citation

  • Deng, Bo, 2008. "The Time Invariance Principle, the absence of ecological chaos, and a fundamental pitfall of discrete modeling," Ecological Modelling, Elsevier, vol. 215(4), pages 287-292.
    • Handle: RePEc:eee:ecomod:v:215:y:2008:i:4:p:287-292
    DOI: 10.1016/j.ecolmodel.2008.03.013
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304380008001543
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ecolmodel.2008.03.013?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. Tonnang, Henri E.Z. & Nedorezov, Lev V. & Owino, John O. & Ochanda, Horace & Löhr, Bernhard, 2009. "Evaluation of discrete host–parasitoid models for diamondback moth and Diadegma semiclausum field time population density series," Ecological Modelling, Elsevier, vol. 220(15), pages 1735-1744.
    2. Marzloff, Martin P. & Johnson, Craig R. & Little, L. Rich & Soulié, Jean-Christophe & Ling, Scott D. & Frusher, Stewart D., 2013. "Sensitivity analysis and pattern-oriented validation of TRITON, a model with alternative community states: Insights on temperate rocky reefs dynamics," Ecological Modelling, Elsevier, vol. 258(C), pages 16-32.

    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:ecomod:v:215:y:2008:i:4:p:287-292. 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: http://www.journals.elsevier.com/ecological-modelling .

    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.