IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/24119.html
   My bibliography  Save this paper

Harvesting natural resources: management and conflicts

Author

Listed:
  • Halkos, George

Abstract

It is reasonable to consider the stock of any renewable resource as a capital stock and treat the exploitation of that resource in much the same way as one would treat accumulation of a capital stock. This has been done to some extent in earlier papers containing a discussion of this point of view. However, the analysis is much simpler than it appears in the literature especially since the interaction between markets and the natural biology dynamics has not been made clear. Moreover renewable resources are commonly analyzed in the context of models where the growth of the renewable resource under consideration is affected by two factors: the size of the resource itself and the rate of harvesting. This specification does not take into account that human activities other than harvesting can have an impact on the growth of the natural resource. Furthermore, natural resource harvesting are not productive factories. Fishery economic literature (based on the foundations of Gordon, 1954; Scott, 1955; and Smith, 1963) suggests particular properties of the ocean fishery which requires tools of analysis beyond those supplied by elementary economic theory. An analysis of the fishery must take into account the biological nature of fundamental capital, the fish and it must recognize the common property feature of the open sea fishery, so it must allow that the fundamental capital is the subject of exploitation. The purpose of this paper is the presentation of renewable resources dynamic models in the form of differential games aiming to extract the optimal equilibrium trajectories of the state and control variables for the optimal control economic problem. We show how methods of infinite horizon optimal control theory may be developed for renewable resources models.

Suggested Citation

  • Halkos, George, 2010. "Harvesting natural resources: management and conflicts," MPRA Paper 24119, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:24119
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/24119/1/MPRA_paper_24119.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Dieter Grass & Jonathan P. Caulkins & Gustav Feichtinger & Gernot Tragler & Doris A. Behrens, 2008. "Optimal Control of Nonlinear Processes," Springer Books, Springer, number 978-3-540-77647-5, February.
    2. Clark, Colin W, 1973. "Profit Maximization and the Extinction of Animal Species," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 950-961, July-Aug..
    3. Hartl, Richard F., 1987. "A simple proof of the monotonicity of the state trajectories in autonomous control problems," Journal of Economic Theory, Elsevier, vol. 41(1), pages 211-215, February.
    4. Tracy R. Lewis & Richard Schmalensee, 1980. "On Oligopolistic Markets for Nonrenewable Natural Resources," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(3), pages 475-491.
    5. Plourde, C G, 1970. "A Simple Model of Replenishable Natural Resource Exploitation," American Economic Review, American Economic Association, vol. 60(3), pages 518-522, June.
    6. Daniel Cohen & Philippe Michel, 1988. "How Should Control Theory Be Used to Calculate a Time-Consistent Government Policy?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(2), pages 263-274.
    7. Smith, Vernon L, 1969. "On Models of Commercial Fishing," Journal of Political Economy, University of Chicago Press, vol. 77(2), pages 181-198, March/Apr.
    8. 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.
    9. Engelbert Dockner & Gustav Feichtinger, 1991. "On the optimality of limit cycles in dynamic economic systems," Journal of Economics, Springer, vol. 53(1), pages 31-50, February.
    10. 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.
    11. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, October.
    12. Berck, Peter, 1981. "Optimal management of renewable resources with growing demand and stock externalities," Journal of Environmental Economics and Management, Elsevier, vol. 8(2), pages 105-117, June.
    13. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-491, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Halkos, George & Papageorgiou, George, 2013. "Dynamic modeling of pulse fishing: A game theoretic approach," MPRA Paper 47871, University Library of Munich, Germany.
    2. Halkos, George, 2011. "Cyclical and constant strategies in renewable resources extraction," MPRA Paper 34654, University Library of Munich, Germany.
    3. Eggert, Håkan, 2006. "Fisheries Economics and 20 years with Marine Resource Economics: A Citation Analysis," Working Papers in Economics 203, University of Gothenburg, Department of Economics.
    4. Wei-Bin Zhang, 2015. "Oscillations in a Growth Model with Endogenous Wealth, Resource, Housing, and Elastic Labour Supply," International Journal of Economics and Empirical Research (IJEER), The Economics and Social Development Organization (TESDO), vol. 3(9), pages 458-472, September.
    5. Wei-Bin ZHANG, 2014. "Human Capital, Wealth, and Renewable Resources," Expert Journal of Economics, Sprint Investify, vol. 2(1), pages 1-20.
    6. Gardner Brown, 2000. "Renewable Natural Resource Management and Use Without Markets," Working Papers 0025, University of Washington, Department of Economics.
    7. Dawid, Herbert & Keoula, Michel Y. & Kopel, Michael & Kort, Peter M., 2015. "Product innovation incentives by an incumbent firm: A dynamic analysis," Journal of Economic Behavior & Organization, Elsevier, vol. 117(C), pages 411-438.
    8. Zhang Wei-Bin, 2011. "Economic Growth And Dynamics Of Renewable Resource With Housing, Agricultural And Resource Land Use," Studies in Business and Economics, Lucian Blaga University of Sibiu, Faculty of Economic Sciences, vol. 6(2), pages 151-174, August.
    9. Evangelos Toumasatos & Stein Ivar Steinshamn, 2018. "Coalition Formation with Externalities: The Case of the Northeast Atlantic Mackerel Fishery in a Pre- and Post-Brexit Context," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 20(02), pages 1-48, June.
    10. Kvamsdal, Sturla F. & Maroto, José M. & Morán, Manuel & Sandal, Leif K., 2020. "Bioeconomic modeling of seasonal fisheries," European Journal of Operational Research, Elsevier, vol. 281(2), pages 332-340.
    11. Suphaphiphat, Nujin & Peretto, Pietro F. & Valente, Simone, 2015. "Endogenous growth and property rights over renewable resources," European Economic Review, Elsevier, vol. 76(C), pages 125-151.
    12. Robert S. Pindyck, 1984. "Uncertainty in the Theory of Renewable Resource Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(2), pages 289-303.
    13. Ben White, 2000. "A Review of the Economics of Biological Natural Resources," Journal of Agricultural Economics, Wiley Blackwell, vol. 51(3), pages 419-462, September.
    14. Wilen, James E., 2000. "Renewable Resource Economists and Policy: What Differences Have We Made?," Journal of Environmental Economics and Management, Elsevier, vol. 39(3), pages 306-327, May.
    15. Costello, Christopher & Polasky, Stephen, 2008. "Optimal harvesting of stochastic spatial resources," Journal of Environmental Economics and Management, Elsevier, vol. 56(1), pages 1-18, July.
    16. Gardner M. Brown, 2000. "Renewable Natural Resource Management and Use without Markets," Journal of Economic Literature, American Economic Association, vol. 38(4), pages 875-914, December.
    17. AMIR, Rabah, 2001. "Stochastic games in economics and related fields: an overview," LIDAM Discussion Papers CORE 2001060, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    18. José Ramón Ruiz Tamarit & Manuel Sánchez Moreno, 2006. "Optimal Regulation And Growth In A Natural-Resource-Based Economy," Working Papers. Serie AD 2006-21, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    19. 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.
    20. George E. Halkos & George J. Papageorgiou, 2012. "Pollution Control Policy: A Dynamic Taxation Scheme," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 6(1), pages 14-37, March.

    More about this item

    Keywords

    Renewable resources; exploitation of natural resources; dynamic optimization; optimal control;
    All these keywords.

    JEL classification:

    • Q32 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - Exhaustible Resources and Economic Development
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:24119. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.