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Variable effort management of renewable natural resources

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  • Lamantia, Fabio

Abstract

In this paper we introduce a resource management model of a common aquatic environment that is split into two regions: a protected area, where no harvesting is allowed, and an exploitable area, where a regulator imposes at each time period the maximum level of effort agents can exert. The imposed effort is not constant over time, but endogenously obtained through a negative feedback process according to the level of stock resource the regulator expects to prevail. Furthermore the fish population migrates within regions according to a linear diffusion mechanism.

Suggested Citation

  • Lamantia, Fabio, 2006. "Variable effort management of renewable natural resources," Chaos, Solitons & Fractals, Elsevier, vol. 29(3), pages 771-782.
    • Handle: RePEc:eee:chsofr:v:29:y:2006:i:3:p:771-782
    DOI: 10.1016/j.chaos.2005.08.108
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    References listed on IDEAS

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    1. Carlo Carraro & Vito Fragnelli (ed.), 2004. "Game Practice and the Environment," Books, Edward Elgar Publishing, number 3344.
    2. H. Scott Gordon, 1954. "The Economic Theory of a Common-Property Resource: The Fishery," Palgrave Macmillan Books, in: Chennat Gopalakrishnan (ed.), Classic Papers in Natural Resource Economics, chapter 9, pages 178-203, Palgrave Macmillan.
    3. Gian-Italo Bischi & Michael Kopel & Ferenc Szidarovszky, 2005. "Expectation-Stock Dynamics in Multi-Agent Fisheries," Annals of Operations Research, Springer, vol. 137(1), pages 299-329, July.
    4. Sethi, Rajiv & Somanathan, E, 1996. "The Evolution of Social Norms in Common Property Resource Use," American Economic Review, American Economic Association, vol. 86(4), pages 766-788, September.
    5. H. Scott Gordon, 1954. "The Economic Theory of a Common-Property Resource: The Fishery," Journal of Political Economy, University of Chicago Press, vol. 62(2), pages 124-124.
    6. Sandal, Leif K. & Steinshamn, Stein I., 2004. "Dynamic Cournot-competitive harvesting of a common pool resource," Journal of Economic Dynamics and Control, Elsevier, vol. 28(9), pages 1781-1799, July.
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    Cited by:

    1. Antoci, Angelo & Naimzada, Ahmad & Sodini, Mauro, 2009. "Strategic interactions and heterogeneity in a overlapping generations model with negative environmental externalities," MPRA Paper 18221, University Library of Munich, Germany.
    2. Antoci, Angelo & Sodini, Mauro, 2009. "Indeterminacy, bifurcations and chaos in an overlapping generations model with negative environmental externalities," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1439-1450.
    3. Lamantia, F. & Radi, D., 2015. "Exploitation of renewable resources with differentiated technologies: An evolutionary analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 108(C), pages 155-174.

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