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Investigation of thermodynamic properties in an ecological model developing from ordered to chaotic states

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Listed:
  • Mandal, Sandip
  • Ray, Santanu
  • Roy, Samar
  • Jørgensen, Sven Erik

Abstract

In any ecosystem the equilibrium condition may gradually turn into a chaotic situation for different reasons. In this paper a three species (phytoplankton, zooplankton and fish) model is proposed. Rate parameters are changed according to the change of the size of the organisms. The model is run in different conditions with different sizes of zooplankton by increasing the grazing rate and consequently decreasing the half saturation constant of this organisms following allometric principles. The system exhibits different states (equilibrium point–stable limit cycle–doubling and ultimately chaos) by gradual increment of zooplankton grazing rate and decrease of half saturation constant. This paper also tests the high level of exergy (thermodynamic goal function) of the systems at the edge of oscillation before entering into the chaotic situation. This high level of information supports the hypothesis that the system can coordinate the most complex behavior in these situations.

Suggested Citation

  • Mandal, Sandip & Ray, Santanu & Roy, Samar & Jørgensen, Sven Erik, 2007. "Investigation of thermodynamic properties in an ecological model developing from ordered to chaotic states," Ecological Modelling, Elsevier, vol. 204(1), pages 40-46.
    • Handle: RePEc:eee:ecomod:v:204:y:2007:i:1:p:40-46
    DOI: 10.1016/j.ecolmodel.2006.12.014
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    References listed on IDEAS

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    1. Stephanie Forrest & Terry Jones, 1994. "Modeling Complex Adaptive Systems with Echo," Working Papers 94-12-064, Santa Fe Institute.
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    Cited by:

    1. Xuan, Zhemin & Chang, Ni-Bin, 2014. "Modeling the climate-induced changes of lake ecosystem structure under the cascade impacts of hurricanes and droughts," Ecological Modelling, Elsevier, vol. 288(C), pages 79-93.

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