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On the dynamics of renewable resource harvesting and pollution control

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  • Olli Tahvonen

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

Suggested Citation

  • Olli Tahvonen, 1991. "On the dynamics of renewable resource harvesting and pollution control," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 1(1), pages 97-117, March.
  • Handle: RePEc:kap:enreec:v:1:y:1991:i:1:p:97-117
    DOI: 10.1007/BF00305953
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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. 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.
    3. Mouhamadou Samsidy Goudiaby & Ben Mansour Dia & Mamadou L. Diagne & Hamidou Tembine, 2021. "Cooperative Game for Fish Harvesting and Pollution Control," Games, MDPI, vol. 12(3), pages 1-21, August.
    4. 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.
    5. Karp, Larry S. & Tahvonen, Olli, 1995. "International Trade in Exhaustible Resources: A Cartel-Competitive Fringe Model," CUDARE Working Papers 6303, University of California, Berkeley, Department of Agricultural and Resource Economics.
    6. Jeroen Bergh, 1993. "A framework for modelling economy-environment-development relationships based on dynamic carrying capacity and sustainable development feedback," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 3(4), pages 395-412, August.
    7. Tahvonen, Olli & Withagen, Cees, 1996. "Optimality of irreversible pollution accumulation," Journal of Economic Dynamics and Control, Elsevier, vol. 20(9-10), pages 1775-1795.
    8. Wirl, Franz, 1999. "Complex, dynamic environmental policies," Resource and Energy Economics, Elsevier, vol. 21(1), pages 19-41, January.
    9. Frederick Ploeg & Cees Withagen, 1991. "Pollution control and the Ramsey problem," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 1(2), pages 215-236, June.
    10. Anastasios Xepapadeas, 1995. "Managing the international commons: Resource use and pollution control," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 5(4), pages 375-391, June.
    11. 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).
    12. 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.
    13. N. Baris Vardar & Georges Zaccour, 2020. "Exploitation of a Productive Asset in the Presence of Strategic Behavior and Pollution Externalities," Mathematics, MDPI, vol. 8(10), pages 1-28, October.
    14. Anna Rettieva, 2022. "Dynamic Multicriteria Game with Pollution Externalities," Mathematics, MDPI, vol. 10(22), pages 1-15, November.
    15. Feichtinger, Gustav & Lambertini, Luca & Leitmann, George & Wrzaczek, Stefan, 2022. "Managing the tragedy of commons and polluting emissions: A unified view," European Journal of Operational Research, Elsevier, vol. 303(1), pages 487-499.
    16. Andre, Francisco J. & Cerda, Emilio, 2005. "On natural resource substitution," Resources Policy, Elsevier, vol. 30(4), pages 233-246, December.
    17. Philippe Michel & Gilles Rotillon, 1995. "Disutility of pollution and endogenous growth," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 6(3), pages 279-300, October.
    18. 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.
    19. Huhtala, Anni, 1999. "Optimizing production technology choices: conventional production vs. recycling," Resource and Energy Economics, Elsevier, vol. 21(1), pages 1-18, January.
    20. Andrea Baranzini & Francois Bourguignon, 1995. "Is sustainable growth optimal?," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 2(2), pages 341-356, August.
    21. J. Olsen & James Shortle, 1996. "The optimal control of emissions and renewable resource harvesting under uncertainty," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 7(2), pages 97-115, March.
    22. Micahel Caputo, 2011. "Optimal Control and Resources," Working Papers 2011-07, University of Central Florida, Department of Economics.
    23. VARDAR, N. Baris, 2014. "Optimal energy transition and taxation of non-renewable resources," LIDAM Discussion Papers CORE 2014021, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    24. 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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    Keywords

    Renewable resources; pollution control;

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