IDEAS home Printed from https://ideas.repec.org/a/eee/ecomod/v392y2019icp67-81.html
   My bibliography  Save this article

Analytical and numerical investigation of optimal harvest with a continuously age-structured model

Author

Listed:
  • Golubtsov, Peter
  • Steinshamn, Stein Ivar

Abstract

An age-structured bioeconomic model, which is completely continuous in age and time, is developed in order to compare with traditional discrete models. Both types have advantages and disadvantages. The continuous framework complements discrete models as it allows for deeper and more transparent analytical study and leads to analytical results that would be difficult to achieve within a discrete framework. To make the model realistic, a nonlinear recruitment function is introduced and steady state solutions and constant-effort optimal fishing are studied analytically. In addition, the framework has been used for numerical analysis. Simulations are used to investigate how optimal harvesting patterns vary with parameter values.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ecomod:v:392:y:2019:i:c:p:67-81
    DOI: 10.1016/j.ecolmodel.2018.11.010
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304380018303983
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ecolmodel.2018.11.010?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. Rognvaldur Hannesson, 1975. "Fishery Dynamics: A North Atlantic Cod Fishery," Canadian Journal of Economics, Canadian Economics Association, vol. 8(2), pages 151-173, May.
    3. Cecilia Hammarlund, 2015. "The Big, the Bad, and the Average: Hedonic Prices and Inverse Demand for Baltic Cod," Marine Resource Economics, University of Chicago Press, vol. 30(2), pages 157-177.
    4. Anders Skonhoft & Niels Vestergaard & Martin Quaas, 2012. "Optimal Harvest in an Age Structured Model with Different Fishing Selectivity," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 51(4), pages 525-544, April.
    5. Florian Diekert, 2012. "Growth Overfishing: The Race to Fish Extends to the Dimension of Size," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 52(4), pages 549-572, August.
    6. N/A, 2010. "The UK economy," National Institute Economic Review, National Institute of Economic and Social Research, vol. 213(1), pages 3-3, July.
    7. Barten, A. P. & Bettendorf, L. J., 1989. "Price formation of fish : An application of an inverse demand system," European Economic Review, Elsevier, vol. 33(8), pages 1509-1525, October.
    8. Sophie Gourguet & Claire Macher & Luc Doyen & Olivier Thébaud & M. Bertignac & Olivier Guyader, 2013. "Managing mixed fisheries for bio-economic viability," Post-Print hal-00835634, HAL.
    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.
    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. Emmanuelle Augeraud-Véron & Raouf Boucekkine & Vladimir Veliov, 2019. "Distributed Optimal Control Models in Environmental Economics: A Review," AMSE Working Papers 1902, Aix-Marseille School of Economics, France.

    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. Da Rocha, José María & García-Cutrín, Javier & Gutiérrez Huerta, María José & Touza, Julia, 2015. "Reconciling yield stability with international fisheries agencies precautionary preferences: the role of non constant discount factors in age structured models," DFAEII Working Papers 1988-088X, University of the Basque Country - Department of Foundations of Economic Analysis II.
    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. Helgesen, Irmelin Slettemoen & Skonhoft, Anders & Eide, Arne, 2018. "Maximum Yield Fishing and Optimal Fleet Composition. A Stage Structured Model Analysis With an Example From the Norwegian North-East Arctic Cod Fishery," Ecological Economics, Elsevier, vol. 153(C), pages 204-217.
    4. Anna M. Birkenbach & Andreea L. Cojocaru & Frank Asche & Atle G. Guttormsen & Martin D. Smith, 2020. "Seasonal Harvest Patterns in Multispecies Fisheries," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 75(3), pages 631-655, March.
    5. Quaas, Martin F. & Requate, Till & Ruckes, Kirsten & Skonhoft, Anders & Vestergaard, Niels & Voss, Rudi, 2013. "Incentives for optimal management of age-structured fish populations," Resource and Energy Economics, Elsevier, vol. 35(2), pages 113-134.
    6. 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.
    7. 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.
    8. Sean Pascoe & Peggy Schrobback & Eriko Hoshino & Robert Curtotti, 2023. "Impact of changes in imports and farmed salmon on wild-caught fish prices in Australia," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 50(2), pages 335-359.
    9. Martin F. Quaas & Till Requate, 2013. "Sushi or Fish Fingers? Seafood Diversity, Collapsing Fish Stocks, and Multispecies Fishery Management," Scandinavian Journal of Economics, Wiley Blackwell, vol. 115(2), pages 381-422, April.
    10. Sarkar, Sudipto, 2009. "Optimal fishery harvesting rules under uncertainty," Resource and Energy Economics, Elsevier, vol. 31(4), pages 272-286, November.
    11. Jules Selles, 2018. "Fisheries management: what uncertainties matter?," Working Papers hal-01824238, HAL.
    12. José-María Da Rocha & María-Jose Gutiérrez & Luis Antelo, 2013. "Selectivity, Pulse Fishing and Endogenous Lifespan in Beverton-Holt Models," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 54(1), pages 139-154, January.
    13. 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.
    14. 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.
    15. José-María Da-Rocha & Rosa Mato-Amboage, 2016. "On the Benefits of Including Age-Structure in Harvest Control Rules," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 64(4), pages 619-641, August.
    16. Alaei Borujeni, Pezhman & Steinshamn, Stein Ivar & Mortazavi, Sayed Abolghasem & Salehi, Hasan, 2015. "Enhance and advance: The benefits of recruitment enhancement in the case of the Iranian Kutum Fishery," Marine Policy, Elsevier, vol. 61(C), pages 23-32.
    17. 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.
    18. Diekert, Florian K. & Hjermann, Dag Ø. & Nævdal , Eric & Stenseth , Nils Chr., 2008. "Optimal Age- and Gear-specific Harvesting Policies for North-East Arctic Cod," Memorandum 16/2008, Oslo University, Department of Economics.
    19. Dawid, Herbert & Kopel, Michael, 1997. "On the Economically Optimal Exploitation of a Renewable Resource: The Case of a Convex Environment and a Convex Return Function," Journal of Economic Theory, Elsevier, vol. 76(2), pages 272-297, October.
    20. Stoeven, Max T. & Quaas, Martin F., 2012. "Privatizing renewable resources: Who gains, who loses?," Economics Working Papers 2012-02, Christian-Albrechts-University of Kiel, Department of Economics.

    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:eee:ecomod:v:392:y:2019:i:c:p:67-81. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/ecological-modelling .

    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.