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Optimal ecosystem management with structural dynamics

Author

Listed:
  • Mota, Rui Pedro
  • Domingos, Tiago

Abstract

We address the problem of optimal management of a self organizing ecosystem along ecological succession. A dynamic carrying capacity is interpreted as depicting the dynamics of habitat creation and occupation along ecological succession. The ecosystem may have three growth modes: pure compensation (concave ecosystem regeneration function), depensation (convex-concave regeneration function) and critical depensation (additionally having negative growth rates for low biomass). We analyse the optimal policies for the management of the ecosystem for the three growth modes. Accordingly, we prove the existence of a Skiba points for certain types of ecosystems. Further, we compare usual golden rule paths with the derived optimal policies near the Skiba points.

Suggested Citation

  • Mota, Rui Pedro & Domingos, Tiago, 2004. "Optimal ecosystem management with structural dynamics," MPRA Paper 13344, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:13344
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    References listed on IDEAS

    as
    1. Anne-Sophie Crépin, 2003. "Multiple Species Boreal Forests – What Faustmann Missed," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 26(4), pages 625-646, December.
    2. Wagener, F. O. O., 2003. "Skiba points and heteroclinic bifurcations, with applications to the shallow lake system," Journal of Economic Dynamics and Control, Elsevier, vol. 27(9), pages 1533-1561, July.
    3. Partha Dasgupta & Karl-Göran Mäler, 2003. "The Economics of Non-Convex Ecosystems: Introduction," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 26(4), pages 499-525, December.
    4. Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-539, May.
    5. W.A. Brock & D. Starrett, 2003. "Managing Systems with Non-convex Positive Feedback," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 26(4), pages 575-602, December.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Ecosystem management; habitat creation; optimal policies; Skiba point;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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