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Optimally Managing a Stochastic Renewable Resource under General Economic Conditions

Author

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  • McGough Bruce

    () (Oregon State University)

  • Plantinga Andrew J.

    () (Oregon State University)

  • Costello Christopher

    () (University of California, Santa Barbara)

Abstract

Empirical evidence indicates that environmental fluctuations have important effects on fisheries production. However, existing analytical solutions of stochastic fisheries models have been produced only under highly simplified economic and biological conditions. The main contribution of this paper is to derive under general conditions a policy function for the management of a stochastic fishery. Our model includes general specifications of demand and cost relationships and a stochastic biological growth function with serially-correlated shocks. Applying methods from the theory of dynamic stochastic general equilibrium modeling and multivariate linear expectational difference equations, we derive a linear approximation of the solution to the model. Our main result is a reduced-form expression for an approximation to optimal escapement, which is shown to be a function of the current stock, past environmental shocks, and model parameters. This theoretically-grounded policy function has intuitive appeal, yields insights into comparative statics, and provides a theoretically-grounded, practical starting point for fisheries management.

Suggested Citation

  • McGough Bruce & Plantinga Andrew J. & Costello Christopher, 2009. "Optimally Managing a Stochastic Renewable Resource under General Economic Conditions," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 9(1), pages 1-31, December.
  • Handle: RePEc:bpj:bejeap:v:9:y:2009:i:1:n:56
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    References listed on IDEAS

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    1. Singh, Rajesh & Weninger, Quinn & Doyle, Matthew, 2006. "Fisheries management with stock growth uncertainty and costly capital adjustment," Journal of Environmental Economics and Management, Elsevier, vol. 52(2), pages 582-599, September.
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    6. Richard Carson & Clive Granger & Jeremy Jackson & Wolfram Schlenker, 2009. "Fisheries Management Under Cyclical Population Dynamics," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 42(3), pages 379-410, March.
    7. Robert S. Pindyck, 1984. "Uncertainty in the Theory of Renewable Resource Markets," Review of Economic Studies, Oxford University Press, vol. 51(2), pages 289-303.
    8. Sethi, Gautam & Costello, Christopher & Fisher, Anthony & Hanemann, Michael & Karp, Larry, 2005. "Fishery management under multiple uncertainty," Journal of Environmental Economics and Management, Elsevier, vol. 50(2), pages 300-318, September.
    9. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    10. Christopher Costello & Stephen Polasky & Andrew Solow, 2001. "Renewable resource management with environmental prediction," Canadian Journal of Economics, Canadian Economics Association, vol. 34(1), pages 196-211, February.
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    15. Bruce McGough & Andrew J. Plantinga & Bill Provencher, 2004. "The Dynamic Behavior of Efficient Timber Prices," Land Economics, University of Wisconsin Press, vol. 80(1), pages 95-108.
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    Cited by:

    1. Leizarowitz, Arie & Tsur, Yacov, 2012. "Renewable resource management with stochastic recharge and environmental threats," Journal of Economic Dynamics and Control, Elsevier, vol. 36(5), pages 736-753.
    2. repec:eee:resene:v:50:y:2017:i:c:p:164-177 is not listed on IDEAS
    3. Vincent Martinet & Michel De Lara & Julio Peña-Torres & Héctor Ramírez Cabrera, 2012. "Risk and Sustainability: Assessing Fisheries Management Strategies," EconomiX Working Papers 2012-11, University of Paris Nanterre, EconomiX.
    4. Vincent Martinet & Julio Peña-Torres & Michel Lara & Hector Ramírez C., 2016. "Risk and Sustainability: Assessing Fishery Management Strategies," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 64(4), pages 683-707, August.
    5. Poudel, Diwakar & Sandal, Leif K. & Steinshamn, Stein I. & Kvamsdal, Sturla F., 2012. "Do Species Interactions and Stochasticity Matter to Optimal Management of Multispecies Fisheries?," Discussion Papers 2012/1, Norwegian School of Economics, Department of Business and Management Science.
    6. Da-Rocha, Jose-Maria & García-Cutrin, Javier & Gutierrez, Maria Jose & Touze, Julia, 2016. "A note on CES Preferences in Age-Structured Models," MPRA Paper 75298, University Library of Munich, Germany.

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