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Optimal Regulation Of Eutrophying Lakes, Fjords And Rivers In The Presence Of Threshold Effects

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  • Naevdal, Eric

Abstract

In a large number of practical environmental regulation problems, the damage done by pollutants depends on stocks and/or flows of pollutants exceeding certain thresholds. A typical example is eutrophication which occur when stocks of nutrients in a lake exceeds a certain threshold. The present paper presents a model of eutrophication that accounts for such thresholds. The paper does so by applying a novel technique in optimal control theory that allows for the analysis of systems where state-variables bounce back and forth over thresholds that take the form of functions of time and state-variables.

Suggested Citation

  • Naevdal, Eric, 1999. "Optimal Regulation Of Eutrophying Lakes, Fjords And Rivers In The Presence Of Threshold Effects," 1999 Annual meeting, August 8-11, Nashville, TN 21619, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    • Handle: RePEc:ags:aaea99:21619
    DOI: 10.22004/ag.econ.21619
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    References listed on IDEAS

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    1. Charles Perrings & David Pearce, 1994. "Threshold effects and incentives for the conservation of biodiversity," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 4(1), pages 13-28, February.
    2. Farzin, Y. H., 1996. "Optimal pricing of environmental and natural resource use with stock externalities," Journal of Public Economics, Elsevier, vol. 62(1-2), pages 31-57, October.
    3. Sandström, Mikael, 1996. "Recreational Benefits from Improved Water Quality: A Random Utility Model of Swedish Seaside Recreation," SSE/EFI Working Paper Series in Economics and Finance 121, Stockholm School of Economics.
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    Cited by:

    1. Marita Laukkanen & Anni Huhtala, 2008. "Optimal management of a eutrophied coastal ecosystem: balancing agricultural and municipal abatement measures," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 39(2), pages 139-159, February.
    2. Polasky, Stephen & de Zeeuw, Aart & Wagener, Florian, 2011. "Optimal management with potential regime shifts," Journal of Environmental Economics and Management, Elsevier, vol. 62(2), pages 229-240, September.
    3. Pim Heijnen & Lammertjan Dam, 2019. "Catastrophe and Cooperation," Dynamic Games and Applications, Springer, vol. 9(1), pages 122-141, March.
    4. Naevdal, Eric, 2006. "Dynamic optimisation in the presence of threshold effects when the location of the threshold is uncertain - with an application to a possible disintegration of the Western Antarctic Ice Sheet," Journal of Economic Dynamics and Control, Elsevier, vol. 30(7), pages 1131-1158, July.
    5. Katarina Elofsson, 2007. "Cost Uncertainty and Unilateral Abatement," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 36(2), pages 143-162, February.
    6. Brozovic, Nicholas & Schlenker, Wolfram, 2011. "Optimal management of an ecosystem with an unknown threshold," Ecological Economics, Elsevier, vol. 70(4), pages 627-640, February.
    7. Michael Margolis & Eric Nævdal, 2008. "Safe Minimum Standards in Dynamic Resource Problems: Conditions for Living on the Edge of Risk," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 40(3), pages 401-423, July.
    8. Sergey Rabotyagov & Catherine L. Kling & Philip W. Gassman & Nancy N. Rabalais & R. Eugene Turner, 2012. "Economics of Dead Zones: Linking Externalities from the Land to their Consequences in the Sea, The," Center for Agricultural and Rural Development (CARD) Publications 12-wp534, Center for Agricultural and Rural Development (CARD) at Iowa State University.
    9. 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.
    10. Anne Sophie Crépin, 2003. "Threshold Effects in Coral Reef Fisheries," Working Papers 2003.107, Fondazione Eni Enrico Mattei.
    11. Nuppenau, Ernst-August, 2008. "On The Inclusion Of Nature And Its Dynamics In Farmers' Objective Functions For Eco-System Services Provision: A New Strategy In Bio-Economic Modeling," 107th Seminar, January 30-February 1, 2008, Sevilla, Spain 6653, European Association of Agricultural Economists.
    12. Hart, Rob, 2003. "Dynamic pollution control--time lags and optimal restoration of marine ecosystems," Ecological Economics, Elsevier, vol. 47(1), pages 79-93, November.
    13. Laukkanen, Marita & Huhtala, Anni, 2005. "Optimal Control of Nutrient Pollution in a Coastal Ecosystem: Agricultural Abatement versus Investment in Wastewater Treatment Capacity," 2005 International Congress, August 23-27, 2005, Copenhagen, Denmark 24451, European Association of Agricultural Economists.
    14. 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.
    15. Elofsson, Katarina & Folmer, Henk & Gren, Ing-Marie, 2003. "Management of eutrophicated coastal ecosystems: a synopsis of the literature with emphasis on theory and methodology," Ecological Economics, Elsevier, vol. 47(1), pages 1-11, November.

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