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Shallow Lake Economics Run Deep: Nonlinear Aspects of an Economic-Ecological Interest Conflict

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  • F.O.O. Wagener

    (University of Amsterdam)

Abstract

This discussion paper led to a publication in Computational Management Science , 2013, 10(4), 423-450. Outcomes of the shallow lake interest conflict are presented in a number of different contexts: quasi-static and dynamic social planning, and quasi-static one-shot and repeated non-cooperative play. As the underlying dynamics are non-convex, the analysis uses geometrical-numerical methods: the possible kinds of solutions are efficiently classified in bifurcation diagrams.

Suggested Citation

  • F.O.O. Wagener, 2009. "Shallow Lake Economics Run Deep: Nonlinear Aspects of an Economic-Ecological Interest Conflict," Tinbergen Institute Discussion Papers 09-033/1, Tinbergen Institute.
    • Handle: RePEc:tin:wpaper:20090033
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    References listed on IDEAS

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    1. Karl-Göran Mäler & Anastasios Xepapadeas & Aart de Zeeuw, 2003. "The Economics of Shallow Lakes," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 26(4), pages 603-624, 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. Engelbert Dockner & Florian Wagener, 2014. "Markov perfect Nash equilibria in models with a single capital stock," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(3), pages 585-625, August.
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    6. Wagener, F.O.O., 2013. "Economics of environmental regime shifts," CeNDEF Working Papers 13-08, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    7. Kossioris, G. & Plexousakis, M. & Xepapadeas, A. & de Zeeuw, A. & Mäler, K.-G., 2008. "Feedback Nash equilibria for non-linear differential games in pollution control," Journal of Economic Dynamics and Control, Elsevier, vol. 32(4), pages 1312-1331, April.
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    11. Hein, Lars, 2006. "Cost-efficient eutrophication control in a shallow lake ecosystem subject to two steady states," Ecological Economics, Elsevier, vol. 59(4), pages 429-439, October.
    12. Kiseleva, T. & Wagener, F.O.O., 2008. "Bifurcations of optimal vector fields in the shallow lake system," CeNDEF Working Papers 08-01, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    13. Kiseleva, Tatiana & Wagener, F.O.O., 2010. "Bifurcations of optimal vector fields in the shallow lake model," Journal of Economic Dynamics and Control, Elsevier, vol. 34(5), pages 825-843, May.
    14. Grass, D., 2012. "Numerical computation of the optimal vector field: Exemplified by a fishery model," Journal of Economic Dynamics and Control, Elsevier, vol. 36(10), pages 1626-1658.
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    17. Salerno, Gillian & McDonald, Stuart & Beard, Rodney, 2007. "The political economy of shallow lakes," 2007 Conference (51st), February 13-16, 2007, Queenstown, New Zealand 10385, Australian Agricultural and Resource Economics Society.
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    Cited by:

    1. Dmitry Gromov & Thorsten Upmann, 2021. "Dynamics and Economics of Shallow Lakes: A Survey," Sustainability, MDPI, vol. 13(24), pages 1-16, December.
    2. Kiseleva, Tatiana & Wagener, F.O.O., 2010. "Bifurcations of optimal vector fields in the shallow lake model," Journal of Economic Dynamics and Control, Elsevier, vol. 34(5), pages 825-843, May.
    3. Runyan, Christiane W. & D'Odorico, Paolo & Shobe, William, 2015. "The economic impacts of positive feedbacks resulting from deforestation," Ecological Economics, Elsevier, vol. 120(C), pages 93-99.

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    More about this item

    Keywords

    Shallow lake; optimal management; dynamic games; bifurcation analysis;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • Q57 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Ecological Economics

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