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On the dynamics of renewable resource harvesting and pollution control

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  • Olli Tahvonen
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    Abstract

    The paper presents a dynamic partial equilibrium model which combines optimal renewable resource harvesting and optimal pollution control. Pollution accumulates as a slowly decaying stock and is assumed to affect the growth and the quality of the renewable resource stock. The aim is to maximize a social welfare functional which gives the present value of the difference between natural resource benefits and pollution control costs. The existence, uniqueness and the dynamic properties of the steady states are investigated. The analysis also gives a general result concerning the steady state of any two state variable optimal control problems. Copyright Kluwer Academic Publishers 1991

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    File URL: http://hdl.handle.net/10.1007/BF00305953
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    Bibliographic Info

    Article provided by European Association of Environmental and Resource Economists in its journal Environmental & Resource Economics.

    Volume (Year): 1 (1991)
    Issue (Month): 1 (March)
    Pages: 97-117

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    Handle: RePEc:kap:enreec:v:1:y:1991:i:1:p:97-117

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    Web page: http://www.springerlink.com/link.asp?id=100263

    Related research

    Keywords: Renewable resources; pollution control;

    References

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    1. Clark, Colin W. & Munro, Gordon R., 1975. "The economics of fishing and modern capital theory: A simplified approach," Journal of Environmental Economics and Management, Elsevier, vol. 2(2), pages 92-106, December.
    2. Brock, William A. & Scheinkman, JoseA., 1976. "Global asymptotic stability of optimal control systems with applications to the theory of economic growth," Journal of Economic Theory, Elsevier, vol. 12(1), pages 164-190, February.
    3. Bjorndal, Trond, 1988. "The optimal management of North Sea Herring," Journal of Environmental Economics and Management, Elsevier, vol. 15(1), pages 9-29, March.
    4. Feinstein, C. D. & Oren, S. S., 1983. "Local stability properties of the modified Hamiltonian dynamic system," Journal of Economic Dynamics and Control, Elsevier, vol. 6(1), pages 387-397, September.
    5. Smith, Vernon L., 1977. "Control theory applied to natural and environmental resources an exposition," Journal of Environmental Economics and Management, Elsevier, vol. 4(1), pages 1-24, March.
    6. Siebert, Horst, 1982. "Nature as a life support system: Renewable resources and environmental disruption," Open Access Publications from Kiel Institute for the World Economy 3569, Kiel Institute for the World Economy (IfW).
    7. Keeler, Emmett & Spence, Michael & Zeckhauser, Richard, 1972. "The optimal control of pollution," Journal of Economic Theory, Elsevier, vol. 4(1), pages 19-34, February.
    8. Kahn, James R. & Kemp, W. Michael, 1985. "Economic losses associated with the degradation of an ecosystem: The case of submerged aquatic vegetation in Chesapeake Bay," Journal of Environmental Economics and Management, Elsevier, vol. 12(3), pages 246-263, September.
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    Citations

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    Cited by:
    1. David Levhari & Cees Withagen, 1992. "Optimal management of the growth potential of renewable resources," Journal of Economics, Springer, vol. 56(3), pages 297-309, October.
    2. Anastasios Xepapadeas, 1995. "Managing the international commons: Resource use and pollution control," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 5(4), pages 375-391, June.
    3. Micahel Caputo, 2011. "Optimal Control and Resources," Working Papers 2011-07, University of Central Florida, Department of Economics.
    4. Bulte, Erwin H. & Horan, Richard D., 2003. "Habitat conservation, wildlife extraction and agricultural expansion," Journal of Environmental Economics and Management, Elsevier, vol. 45(1), pages 109-127, January.
    5. Tahvonen, O. & Withagen, C.A.A.M., 1996. "Optimality of irreversible pollution accumulation," Open Access publications from Tilburg University urn:nbn:nl:ui:12-3107026, Tilburg University.
    6. Baranzini, A. & Bourguignon, F., 1994. "Is Sustainable Growth Optimal?," DELTA Working Papers 94-21, DELTA (Ecole normale supérieure).
    7. Philippe Michel & Gilles Rotillon, 1995. "Disutility of pollution and endogenous growth," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 6(3), pages 279-300, October.
    8. Francisco J. André & Emilio Cerdá, 2004. "On natural resource substitution," Economic Working Papers at Centro de Estudios Andaluces E2004/48, Centro de Estudios Andaluces.
    9. Wirl, Franz, 1999. "Complex, dynamic environmental policies," Resource and Energy Economics, Elsevier, vol. 21(1), pages 19-41, January.
    10. J. Olsen & James Shortle, 1996. "The optimal control of emissions and renewable resource harvesting under uncertainty," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 7(2), pages 97-115, March.
    11. Jeroen Bergh, 1993. "A framework for modelling economy-environment-development relationships based on dynamic carrying capacity and sustainable development feedback," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 3(4), pages 395-412, August.
    12. Karp, Larry & Tahvonen, Olli, 1995. "International Trade in Exhaustible Resources: A Cartel-Competitive Fringe Model," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt9dt5614j, Department of Agricultural & Resource Economics, UC Berkeley.
    13. Karl Farmer, 2000. "Intergenerational natural-capital equality in an overlapping-generations model with logistic regeneration," Journal of Economics, Springer, vol. 72(2), pages 129-152, June.
    14. Frederick Ploeg & Cees Withagen, 1991. "Pollution control and the Ramsey problem," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 1(2), pages 215-236, June.
    15. Emilio Cerdá & Francisco J. André, 2001. "Optimal Substitution Of Renewable And Nonrenewable Natural Resources In Production," Working Papers. Serie AD 2001-14, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    16. Krysiak, Frank C. & Krysiak, Daniela, 2002. "Aggregation of Dynamic Systems and the Existence of a Regeneration Function," Journal of Environmental Economics and Management, Elsevier, vol. 44(3), pages 517-539, November.
    17. Huhtala, Anni, 1999. "Optimizing production technology choices: conventional production vs. recycling," Resource and Energy Economics, Elsevier, vol. 21(1), pages 1-18, January.
    18. F. Delbono & L. Lambertini, 2014. "Optimal firm' mix in oligopoly with twofold environmental externality," Working Papers wp955, Dipartimento Scienze Economiche, Universita' di Bologna.

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