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A Micro-Level 'Consumer Approach' to Species Population Dynamics

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Author Info

  • Thomas Christiaans
  • Thomas Eichner
  • Rüdiger Pethig

Abstract

In this paper we develop a micro ecosystem model whose basic entities are representative organisms which behave as if maximizing their net offspring under constraints. Net offspring is increasing in prey biomass intake, declining in the loss of own biomass to predators and Allee’s Law applies. The organism’s constraint reflects its perception of how scarce its own biomass and the biomass of its prey is. In the short-run periods prices (scarcity indicators) coordinate and determine all biomass transactions and net offspring which directly translates into population growth functions. We are able to explicitly determine these growth functions for a simple food web when specific parametric net offspring functions are chosen in the micro-level ecosystem model. For the case of a single species our model is shown to yield the well-known Verhulst-Pearl logistic growth function. With two species in predator-prey relationship, we derive differential equations whose dynamics are completely characterized and turn out to be similar to the predator-prey model with Michaelis-Menten type functional response. With two species competing for a single resource we find that coexistence is a knife-edge feature confirming Tschirhart’s (2002) result in a different but related model.

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File URL: http://www.cesifo-group.de/portal/page/portal/DocBase_Content/WP/WP-CESifo_Working_Papers/wp-cesifo-2005/wp-cesifo-2005-08/cesifo1_wp1530.pdf
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Bibliographic Info

Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 1530.

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Date of creation: 2005
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Handle: RePEc:ces:ceswps:_1530

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Keywords: species; growth; extinction; predator-prey relations; resource competition;

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References

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  1. Finnoff, David & Tschirhart, John, 2003. "Harvesting in an eight-species ecosystem," Journal of Environmental Economics and Management, Elsevier, vol. 45(3), pages 589-611, May.
  2. Thomas Eichner & Rüdiger Pethig, 2003. "A Microfoundation of Predator-Prey Dynamics," Volkswirtschaftliche Diskussionsbeiträge 110-03, Universität Siegen, Fakultät Wirtschaftswissenschaften, Wirtschaftsinformatik und Wirtschaftsrecht.
  3. David Finnoff & John Tschirhart, 2003. "Protecting an Endangered Species While Harvesting Its Prey in a General Equilibrium Ecosystem Model," Land Economics, University of Wisconsin Press, vol. 79(2), pages 160-180.
  4. Thomas Crocker & John Tschirhart, 1992. "Ecosystems, externalities, and economies," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 2(6), pages 551-567, November.
  5. John Tschirhart, 2003. "Ecological Transfers in Non-Human Communities Parallel Economic Markets in a General Equilibrium Ecosystem Model," Journal of Bioeconomics, Springer, vol. 5(2), pages 193-214, May.
  6. Thomas Eichner & Rüdiger Pethig, 2004. "Economic Land Use, Ecosystem Services and Microfounded Species Dynamics," CESifo Working Paper Series 1269, CESifo Group Munich.
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Citations

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Cited by:
  1. Thomas Eichner & Rüdiger Pethig, 2007. "Pricing the Ecosystem and Taxing Ecosystem Services: A General Equilibrium Approach," CESifo Working Paper Series 1991, CESifo Group Munich.
  2. Thomas Eichner & Rüdiger Pethig, 2007. "Harvesting in an integrated general equilibrium model," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 37(1), pages 233-252, May.
  3. Thomas Christiaans & Thomas Eichner & Rüdiger Pethig, 2005. "Optimal Pest Control in Agriculture," CESifo Working Paper Series 1507, CESifo Group Munich.
  4. Kai A. Konrad & Stergios Skaperdas, 2005. "The Market for Protection and the Origin of the State," CESifo Working Paper Series 1578, CESifo Group Munich.
  5. John Tschirhart, 2012. "Biology as a Source of Non-convexities in Ecological Production Functions," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 51(2), pages 189-213, February.

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