Managing Systems with Non-convex Positive Feedback
We study here optimal management of dynamic ecological systemsthat exhibit a destabilizing positive feedback. The prototypeexample is that of a shallow lake in which phosphorous loadingplaced by anthropogenic activities (fertilizers for farmingand gardening) is stored in sediments until a critical levelis reached after which there is a destabilizing return to thewater – the tradeoff between farming interests and lake qualitygenerates an optimal control problem. We show that in such systems, there may be a variety of local optima and associatedbasins of attraction wherein the optimal path may depend onstarting state (phosphorous stock). We characterize the variouspossible optimal behaviors and identify the ambiguities thatcan only be resolved by choice of functional form. Copyright Kluwer Academic Publishers 2003
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Volume (Year): 26 (2003)
Issue (Month): 4 (December)
Pages: 575-602
| Handle: | RePEc:kap:enreec:v:26:y:2003:i:4:p:575-602 |
| DOI: | 10.1023/B:EARE.0000007350.11040.e3 |
| Contact details of provider: | Web page: http://www.springer.com Postal: c/o EAERE Secretariat - Fondazione Eni Enrico Mattei - Isola di San Giorgio Maggiore 8, I-30124 Venice, ItalyPhone: +39.041.2700438 Fax: +39.041.2700412 Web page: http://www.eaere.org/ Email: More information through EDIRC
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| Order Information: | Web: http://www.springer.com/economics/environmental/journal/10640/PS2 |
References listed on IDEAS
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- Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-539, May.
- Tahvonen, Olli & Salo, Seppo, 1996. "Nonconvexities in Optimal Pollution Accumulation," Journal of Environmental Economics and Management, Elsevier, vol. 31(2), pages 160-177, September.
- W. A. Brock, 1970. "On Existence of Weakly Maximal Programmes in a Multi-Sector Economy," Review of Economic Studies, Oxford University Press, vol. 37(2), pages 275-280.
- Spence, A Michael & Starrett, David, 1975. "Most Rapid Approach Paths in Accumulation Problems," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(2), pages 388-403, June.
- Ludwig,D. & Carpenter,S. & Brock,W., 2002. "Optimal phosphorus loading for a potentially eutrophic lake," Working papers 9, Wisconsin Madison - Social Systems.
- Keller, Klaus & Bolker, Benjamin M. & Bradford, D.F.David F., 2004. "Uncertain climate thresholds and optimal economic growth," Journal of Environmental Economics and Management, Elsevier, vol. 48(1), pages 723-741, July.
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