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The impact of scarcity and abundance in food chains on species population dynamics

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Abstract

The population dynamics in a food chains are derived from a sequence of short- run equilibria of an ecosystem where predator species demand prey biomass, supply own biomass to their predators and are assumed to behave as if they maximize net biomass intake. Introducing prices as scarcity indicators for the biomass of each species enables us to determine a short-run ecosystem equilibrium guided by prices. Equilibrium regimes differ with respect to their mix of zero-priced (= abundant) and positive-priced (= scarce) species. The population dynamics turn out to vary with the prevailing equilibrium regime. Our analysis yields a richer and more complex population dynamics than the traditional predator-prey dynamics of the Lotka-Volterra type.

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  • Thomas Eichner & Rüdiger Pethig, 2003. "The impact of scarcity and abundance in food chains on species population dynamics," Volkswirtschaftliche Diskussionsbeiträge 109-03, Universität Siegen, Fakultät Wirtschaftswissenschaften, Wirtschaftsinformatik und Wirtschaftsrecht.
    • Handle: RePEc:sie:siegen:109-03
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    File URL: http://www.wiwi.uni-siegen.de/vwl/repec/sie/papers/109-03.pdf
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    Cited by:

    1. Thomas Eichner & Rüdiger Pethig, 2006. "An Analytical Foundation of the Ratio-Dependent Predator-Prey Model," Journal of Bioeconomics, Springer, vol. 8(2), pages 121-132, August.
    2. Thomas Eichner & Rüdiger Pethig, 2007. "Harvesting in an integrated general equilibrium model," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 37(1), pages 233-252, May.
    3. Hussain, A.M. Tanvir & Tschirhart, John, 2013. "Economic/ecological tradeoffs among ecosystem services and biodiversity conservation," Ecological Economics, Elsevier, vol. 93(C), pages 116-127.
    4. Thomas Eichner & Rüdiger Pethig, 2003. "A Microfoundation of Predator-Prey Dynamics," CESifo Working Paper Series 950, CESifo.
    5. John Tschirhart, 2012. "Biology as a Source of Non-convexities in Ecological Production Functions," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 51(2), pages 189-213, February.

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