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Fisheries Management with Stock Growth Uncertainty and Costly Capital Adjustment

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  • Singh, Rajesh
  • Weninger, Quinn
  • Doyle, Matthew

Abstract

We develop a dynamic model of a fishery which simultaneously incorporates random stock growth and costly capital adjustment. Numerical techniques are used to solve for the resource-rent-maximizing harvest and capital investment policies. Capital rigidities bring diminishing marginal returns to the current period harvest, and introduce an incentive to smooth the catch over time. With density dependent stock growth, however, catch smoothing increases stock variability resulting in reduced average yields. The optimal management policy balances the catch smoothing benefits against yield loss. We calibrate the model to the Alaskan pacific halibut fishery to demonstrate the main insights.

Suggested Citation

  • Singh, Rajesh & Weninger, Quinn & Doyle, Matthew, 2006. "Fisheries Management with Stock Growth Uncertainty and Costly Capital Adjustment," Staff General Research Papers Archive 12765, Iowa State University, Department of Economics.
  • Handle: RePEc:isu:genres:12765
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    References listed on IDEAS

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    1. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, January.
    2. Boyce John R., 1995. "Optimal Capital Accumulation in a Fishery: A Nonlinear Irreversible Investment Model," Journal of Environmental Economics and Management, Elsevier, vol. 28(3), pages 324-339, May.
    3. Berck, Peter & Perloff, Jeffrey M, 1984. "An Open-Access Fishery with Rational Expectations," Econometrica, Econometric Society, vol. 52(2), pages 489-506, March.
    4. Keith Criddle & Mike Herrmann, 2004. "An Economic Analysis of the Pacific Halibut Commercial Fishery," Working Papers 2004-20, Utah State University, Department of Economics.
    5. Clark, Colin W. & Kirkwood, Geoffrey P., 1986. "On uncertain renewable resource stocks: Optimal harvest policies and the value of stock surveys," Journal of Environmental Economics and Management, Elsevier, vol. 13(3), pages 235-244, September.
    6. Grafton, R Quentin & Squires, Dale & Fox, Kevin J, 2000. "Private Property and Economic Efficiency: A Study of a Common-Pool Resource," Journal of Law and Economics, University of Chicago Press, vol. 43(2), pages 679-713, October.
    7. 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.
    8. Quinn Weninger, 2000. "Buyback programs in commercial fisheries:efficiency versus transfers," Canadian Journal of Economics, Canadian Economics Association, vol. 33(2), pages 394-412, May.
    9. 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.
    10. Matulich, Scott C. & Mittelhammer, Ron C. & Reberte, Carlos, 1996. "Toward a More Complete Model of Individual Transferable Fishing Quotas: Implications of Incorporating the Processing Sector," Journal of Environmental Economics and Management, Elsevier, vol. 31(1), pages 112-128, July.
    11. Reed, William J., 1979. "Optimal escapement levels in stochastic and deterministic harvesting models," Journal of Environmental Economics and Management, Elsevier, vol. 6(4), pages 350-363, December.
    12. 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.
    13. 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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    Cited by:

    1. Vincent Martinet & Michel de Lara & Julio Peña & Héctor Ramirez, 2010. "Evaluation of Management Procedures: Application to Chilean Jack Mackerel Fishery," ILADES-Georgetown University Working Papers inv255, Ilades-Georgetown University, Universidad Alberto Hurtado/School of Economics and Bussines.
    2. Doyle, Matthew & Singh, Rajesh & Weninger, Quinn, 2005. "Fisheries Management with Stock Growth Uncertainty and Costly Capital Adjustment: Extended Appendix," Staff General Research Papers Archive 12291, Iowa State University, Department of Economics.
    3. 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.
    4. Kailin Kroetz & James N. Sanchirico & Daniel K. Lew, 2015. "Efficiency Costs of Social Objectives in Tradable Permit Programs," Journal of the Association of Environmental and Resource Economists, University of Chicago Press, vol. 2(3), pages 339-366.
    5. Eihab Fathelrahman & Aydin Basarir & Mohamed Gheblawi & Sherin Sherif & James Ascough, 2014. "Economic Risk and Efficiency Assessment of Fisheries in Abu-Dhabi, United Arab Emirates (UAE): A Stochastic Approach," Sustainability, MDPI, Open Access Journal, vol. 6(6), pages 1-21, June.
    6. Singh, Rajesh & Weninger, Quinn, 2009. "Bioeconomies of scope and the discard problem in multiple-species fisheries," Journal of Environmental Economics and Management, Elsevier, vol. 58(1), pages 72-92, July.
    7. Da Rocha Alvarez, Jose Maria & Prellezo, Raul & Sempere, Jaume & Taboada-Antelo, Luis, 2016. "Fleet dynamics and capital malleability," MPRA Paper 75370, University Library of Munich, Germany.
    8. Da Rocha, José María & Gutiérrez Huerta, María José, 2009. "Reference Points and Optimal Management in Stochastic Age-Structured Fisheries Models," DFAEII Working Papers 2009-02, University of the Basque Country - Department of Foundations of Economic Analysis II.
    9. Da Rocha Alvarez, Jose Maria & Prellezo, Raul & Sempere, Jaume & Taboada-Antelo, Luis, 2016. "Fleet dynamics and overcapitalization under rational expectations," MPRA Paper 79578, University Library of Munich, Germany.
    10. repec:eee:ecomod:v:265:y:2013:i:c:p:230-238 is not listed on IDEAS
    11. repec:kap:enreec:v:67:y:2017:i:2:d:10.1007_s10640-015-9983-0 is not listed on IDEAS
    12. Singh, Rajesh & Weninger, Quinn, 2015. "Harvest efficiency and fishery discards under harvest uncertainty and trading restrictions," Journal of Environmental Economics and Management, Elsevier, vol. 70(C), pages 72-91.
    13. 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.
    14. 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.
    15. Vincent Martinet & Michel de Lara & Julio Peña & Héctor Ramirez, 2012. "Risk and Sustainability: Assessing Fisheries Management Strategies," ILADES-Georgetown University Working Papers inv276, Ilades-Georgetown University, Universidad Alberto Hurtado/School of Economics and Bussines.
    16. Poudel, Diwakar & Sandal, Leif K., 2014. "Stochastic Optimization for Multispecies Fisheries in the Barents Sea," Discussion Papers 2014/2, Norwegian School of Economics, Department of Business and Management Science.
    17. Robert S. Pindyck, 2006. "Uncertainty In Environmental Economics," NBER Working Papers 12752, National Bureau of Economic Research, Inc.
    18. 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.
    19. repec:eee:ecomod:v:272:y:2014:i:c:p:68-75 is not listed on IDEAS
    20. Ute Kapaun & Martin Quaas, 2013. "Does the Optimal Size of a Fish Stock Increase with Environmental Uncertainties?," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 54(2), pages 293-310, February.
    21. Sarkar, Sudipto, 2009. "Optimal fishery harvesting rules under uncertainty," Resource and Energy Economics, Elsevier, vol. 31(4), pages 272-286, November.
    22. Michele Baggio, 2012. "The Optimal Management of a Natural Resource with Switching Dynamics," IED Working paper 12-19, IED Institute for Environmental Decisions, ETH Zurich.
    23. 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.
    24. Poudel, Diwakar & Sandal, Leif K. & Kvamsdal, Sturla F. & Steinshamn, Stein I., 2011. "Fisheries Management under Irreversible Investment: Does Stochasticity Matter?," Discussion Papers 2011/20, Norwegian School of Economics, Department of Business and Management Science.

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