Advanced Search
MyIDEAS: Login to save this article or follow this journal

An Exergy-Based Model for Population Dynamics: Adaptation, Mutualism, Commensalism and Selective Extinction

Contents:

Author Info

  • Enrico Sciubba

    ()
    (Department of Mechanical & Aerospace Engineering, University of Roma La Sapienza, Via Eudossiana 18, 00184 Roma, Italy)

  • Federico Zullo

    ()
    (School of Mathematics, Statistics & Actuarial Science, University of Kent, Canterbury, CT2 7NF, UK)

Registered author(s):

    Abstract

    Following the critical analysis of the concept of “sustainability”, developed on the basis of exergy considerations in previous works, an analysis of possible species “behavior” is presented and discussed in this paper. Once more, we make use of one single axiom: that resource consumption (material and immaterial) can be quantified solely in terms of exergy flows . This assumption leads to a model of population dynamics that is applied here to describe the general behavior of interacting populations. The resulting equations are similar to the Lotka-Volterra ones, but more strongly coupled and intrinsically non-linear: as such, their solution space is topologically richer than those of classical prey-predator models. In this paper, we address an interesting specific problem in population dynamics: if a species assumes a commensalistic behavior, does it gain an evolutionary advantage? And, what is the difference, in terms of the access to the available exergy resources, between mutualism and commensalism? The model equations can be easily rearranged to accommodate both types of behavior, and thus only a brief discussion is devoted to this facet of the problem. The solution space is explored in the simplest case of two interacting populations: the model results in population curves in phase space that can satisfactorily explain the evolutionistic advantages and drawbacks of either behavior and, more importantly, identify the presence or absence of a “sustainable” solution in which both species survive.

    Download Info

    If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
    File URL: http://www.mdpi.com/2071-1050/4/10/2611/pdf
    Download Restriction: no

    File URL: http://www.mdpi.com/2071-1050/4/10/2611/
    Download Restriction: no

    Bibliographic Info

    Article provided by MDPI, Open Access Journal in its journal Sustainability.

    Volume (Year): 4 (2012)
    Issue (Month): 10 (October)
    Pages: 2611-2629

    as in new window
    Handle: RePEc:gam:jsusta:v:4:y:2012:i:10:p:2611-2629:d:20652

    Contact details of provider:
    Web page: http://www.mdpi.com/

    Related research

    Keywords: exergy; population dynamics; species interaction; sustainability;

    Find related papers by JEL classification:

    References

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

    Citations

    Lists

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

    Statistics

    Access and download statistics

    Corrections

    When requesting a correction, please mention this item's handle: RePEc:gam:jsusta:v:4:y:2012:i:10:p:2611-2629:d:20652. 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: (XML Conversion Team).

    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.