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Using Fast and Slow Processes to Manage Resources with Thresholds

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  • Anne-Sophie Crépin

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Abstract

Economists have relied on convexity assumptions for a long time but many natural resources that stem from ecosystems have non-convexities in their dynamics. This article illustrates the consequences of relaxing convexity assumptions for management and the role of fast and slow variables. The paper presents a general framework to handle systems with fast and slow variables, and illustrates the method using a model of coral reefs subject to fishing pressure. The insights obtained are used to discuss alternative management strategies. Copyright Springer Science+Business Media, Inc. 2007

Suggested Citation

  • Anne-Sophie Crépin, 2007. "Using Fast and Slow Processes to Manage Resources with Thresholds," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 36(2), pages 191-213, February.
  • Handle: RePEc:kap:enreec:v:36:y:2007:i:2:p:191-213
    DOI: 10.1007/s10640-006-9029-8
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    File URL: http://hdl.handle.net/10.1007/s10640-006-9029-8
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    References listed on IDEAS

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    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.
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    Citations

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    Cited by:

    1. Anastasios Xepapadeas, 2010. "Modeling complex systems," Agricultural Economics, International Association of Agricultural Economists, vol. 41(s1), pages 181-191, November.
    2. Chen, Yong & Jayaprakash, Ciriyam & Irwin, Elena G., 2008. "Divergent Time Scales in a Coupled Ecological-Economic Model of Regional Growth," 2008 Annual Meeting, July 27-29, 2008, Orlando, Florida 6195, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    3. Crépin, Anne-Sophie & Norberg, Jon & Mäler, Karl-Göran, 2011. "Coupled economic-ecological systems with slow and fast dynamics -- Modelling and analysis method," Ecological Economics, Elsevier, vol. 70(8), pages 1448-1458, June.
    4. Guttormsen, Atle G. & Kristofersson, Dadi & Nævdal, Eric, 2008. "Optimal management of renewable resources with Darwinian selection induced by harvesting," Journal of Environmental Economics and Management, Elsevier, vol. 56(2), pages 167-179, September.
    5. 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.
    6. Chen, Yong & Jayaprakash, Ciriyam & Irwin, Elena, 2012. "Threshold management in a coupled economic–ecological system," Journal of Environmental Economics and Management, Elsevier, vol. 64(3), pages 442-455.
    7. Johannus Janmaat, 2012. "Fishing in a Shallow Lake: Exploring a Classic Fishery Model in a Habitat with Shallow Lake Dynamics," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 51(2), pages 215-239, February.

    More about this item

    Keywords

    management; multiple steady states; non-convexities; slow and fast variables; C61; Q20; Q22;

    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
    • Q22 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Fishery

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