IDEAS home Printed from https://ideas.repec.org/a/ucp/mresec/doi10.1086-680446.html
   My bibliography  Save this article

Stochastically Induced Critical Depensation and Risk of Stock Collapse

Author

Listed:
  • Diwakar Poudel
  • Leif K. Sandal
  • Sturla F. Kvamsdal

Abstract

This article investigates the risk of stock collapse due to stochastically induced critical depensation in managed fisheries. We use a continuous-time surplus production model and an economic model with downward-sloping demand and stock-dependent costs. First, we derive an optimal exploitation policy as a feedback control rule by applying the Hamilton-Jacobi-Bellman approach and analyze the effects of stochasticity on the optimal policy. Then, we characterize the long-term sustainable optimal state and estimate the risk of stock collapse due to stochastically induced critical depensation. We find that the optimal harvest policy in the stochastic setting is conservative at low stochasticity and approaches the myopic solution at high stochasticity. The risk of stock collapse is increasing with the stochasticity and decreasing with stock sizes.

Suggested Citation

  • Diwakar Poudel & Leif K. Sandal & Sturla F. Kvamsdal, 2015. "Stochastically Induced Critical Depensation and Risk of Stock Collapse," Marine Resource Economics, University of Chicago Press, vol. 30(3), pages 297-313.
    • Handle: RePEc:ucp:mresec:doi:10.1086/680446
    DOI: 10.1086/680446
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1086/680446
    Download Restriction: Access to the online full text or PDF requires a subscription.
    File URL: http://dx.doi.org/10.1086/680446
    Download Restriction: Access to the online full text or PDF requires a subscription.
    File URL: https://libkey.io/10.1086/680446?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. R. Quentin Grafton & Leif K. Sandal & Stein Ivar Steinshamn, 2000. "How to Improve the Management of Renewable Resources: The Case of Canada's Northern Cod Fishery," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 82(3), pages 570-580.
    2. José Da Rocha & María Gutiérrez, 2012. "Endogenous Fishery Management in a Stochastic Model: Why Do Fishery Agencies Use TACs Along with Fishing Periods?," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 53(1), pages 25-59, September.
    3. Moxnes, Erling, 2003. "Uncertain measurements of renewable resources: approximations, harvesting policies and value of accuracy," Journal of Environmental Economics and Management, Elsevier, vol. 45(1), pages 85-108, January.
    4. Robert J. Johnston & Jon G. Sutinen, 1996. "Uncertain Biomass Shift and Collapse: Implications for Harvest Policy in the Fishery," Land Economics, University of Wisconsin Press, vol. 72(4), pages 500-518.
    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. José-María Da-Rocha & Linda Nøstbakken & Marcos Pérez, 2014. "Pulse Fishing and Stock Uncertainty," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 59(2), pages 257-274, October.
    7. 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.
    8. Tapan Mitra & Santanu Roy, 2006. "Optimal exploitation of renewable resources under uncertainty and the extinction of species," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(1), pages 1-23, May.
    9. Ragnar Arnason & Leif K. Sandal & Stein Ivar Steinshamn & Niels Vestergaard, 2004. "Optimal Feedback Controls: Comparative Evaluation of the Cod Fisheries in Denmark, Iceland, and Norway," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 86(2), pages 531-542.
    10. Kanaganayagam Kugarajh & Leif Sandal & Gerhard Berge, 2006. "Implementing a Stochastic Bioeconomic Model for the North-East Arctic Cod Fishery," Journal of Bioeconomics, Springer, vol. 8(1), pages 35-53, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ni, Yuanming & Steinshamn, Stein I. & Kvamsdal, Sturla F., 2022. "Negative shocks in an age-structured bioeconomic model and how to deal with them," Economic Analysis and Policy, Elsevier, vol. 76(C), pages 15-30.
    2. Kvamsdal, Sturla, 2023. "An exploratory analysis of warming effects on wealth in the Barents Sea fisheries," Economic Analysis and Policy, Elsevier, vol. 77(C), pages 34-50.
    3. Kvamsdal, Sturla F. & Sandal, Leif K. & Poudel, Diwakar, 2020. "Ecosystem wealth in the Barents Sea," Ecological Economics, Elsevier, vol. 171(C).
    4. Jules Selles, 2018. "Fisheries management: what uncertainties matter?," Working Papers hal-01824238, HAL.

    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. Jules Selles, 2018. "Fisheries management: what uncertainties matter?," Working Papers hal-01824238, HAL.
    2. 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.
    3. Sandal, Leif K. & Berge, Gerhard, 2004. "A method for numerical and analytical solutions to a class of nonlinear optimal control problems," Discussion Papers 2004/2, Norwegian School of Economics, Department of Business and Management Science.
    4. Ussif, Al-Amin M. & Sumaila, Ussif R., 2005. "Modeling the dynamics of regulated resource systems: a fishery example," Ecological Economics, Elsevier, vol. 52(4), pages 469-479, March.
    5. Fackler, Paul L. & Haight, Robert G., 2014. "Monitoring as a partially observable decision problem," Resource and Energy Economics, Elsevier, vol. 37(C), pages 226-241.
    6. Kling, David M. & Sanchirico, James N. & Fackler, Paul L., 2017. "Optimal monitoring and control under state uncertainty: Application to lionfish management," Journal of Environmental Economics and Management, Elsevier, vol. 84(C), pages 223-245.
    7. Jose Pizarro & Eduardo Schwartz, 2021. "Fisheries Optimal Harvest Under Price and Biomass Uncertainty," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 78(1), pages 147-175, January.
    8. Ho Geun Jang & Satoshi Yamazaki & Eriko Hoshino, 2019. "Profit and equity trade‐offs in the management of small pelagic fisheries: the case of the Japanese sardine fishery," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 63(3), pages 549-574, July.
    9. Andries Richter & Anne Maria Eikeset & Daan Soest & Florian Klaus Diekert & Nils Chr. Stenseth, 2018. "Optimal Management Under Institutional Constraints: Determining a Total Allowable Catch for Different Fleet Segments in the Northeast Arctic Cod Fishery," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 69(4), pages 811-835, April.
    10. 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.
    11. Koji Kotani & Makoto Kakinaka & Hiroyuki Matsuda, 2006. "Dynamic Economic Analysis on Invasive Species Management: Some Policy Implications of Catchability," Working Papers EMS_2006_16, Research Institute, International University of Japan.
    12. 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.
    13. Colla-De-Robertis, Esteban & Da-Rocha, Jose-Maria & García-Cutrin, Javier & Gutiérrez, María-José & Prellezo, Raul, 2018. "A bayesian estimation of the economic effects of the Common Fisheries Policy on the Galician Fleet: a dynamic stochastic general equilibrium approach," MPRA Paper 89944, University Library of Munich, Germany.
    14. 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.
    15. Jose Pizarro & Eduardo S. Schwartz, 2018. "The Valuation of Fisheries Rights: A Real Options Approach," NBER Working Papers 25140, National Bureau of Economic Research, Inc.
    16. Koji Kotani & Makoto Kakinaka & Hiroyuki Matsuda, 2007. "Programs on Invasive Species Management under Growth Uncertainty and Measurement Error," Working Papers EMS_2007_01, Research Institute, International University of Japan.
    17. 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.
    18. Diekert, Florian K. & Hjermann, Dag Ø. & Nævdal, Eric & Stenseth, Nils Chr., 2010. "Non-cooperative exploitation of multi-cohort fisheries--The role of gear selectivity in the North-East Arctic cod fishery," Resource and Energy Economics, Elsevier, vol. 32(1), pages 78-92, January.
    19. Golubtsov, Peter & Steinshamn, Stein Ivar, 2019. "Analytical and numerical investigation of optimal harvest with a continuously age-structured model," Ecological Modelling, Elsevier, vol. 392(C), pages 67-81.
    20. José-María Da-Rocha & Linda Nøstbakken & Marcos Pérez, 2014. "Pulse Fishing and Stock Uncertainty," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 59(2), pages 257-274, October.

    More about this item

    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:ucp:mresec:doi:10.1086/680446. 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: Journals Division (email available below). General contact details of provider: https://www.journals.uchicago.edu/MRE .

    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.