IDEAS home Printed from https://ideas.repec.org/a/eee/ecomod/v364y2017icp124-131.html
   My bibliography  Save this article

A bridge between continuous and discrete-time bioeconomic models: Seasonality in fisheries

Author

Listed:
  • Kvamsdal, Sturla
  • Maroto, José M.
  • Morán, Manuel
  • Sandal, Leif K.

Abstract

We develop a discretization method to construct a discrete finite-time bioeconomic model, corresponding to bioeconomic models with continuous-time growth function, but allowing the analysis of seasonality in fisheries. The discretization method consists of three steps: first, we estimate a proper growth function for the continuous-time model with the Ensemble Kalman Filter. Second, we use the Runge-Kutta method to discretize the growth function. Third, we use the Bellman approach to analyze the optimal management of seasonal fisheries in a discrete-time setting. We analyze both the case of quarterly harvest and the case of monthly harvest, and we compare these cases with the case of annual harvest. We find that seasonal harvesting is a win–win optimal solution that provides higher harvest, higher optimal steady state equilibrium, and higher economic value than annual harvesting. We also demonstrate that the discretization method overcomes the errors and preserves the strengths of both continuous and discrete-time bioeconomic models.

Suggested Citation

  • Kvamsdal, Sturla & Maroto, José M. & Morán, Manuel & Sandal, Leif K., 2017. "A bridge between continuous and discrete-time bioeconomic models: Seasonality in fisheries," Ecological Modelling, Elsevier, vol. 364(C), pages 124-131.
    • Handle: RePEc:eee:ecomod:v:364:y:2017:i:c:p:124-131
    DOI: 10.1016/j.ecolmodel.2017.09.020
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304380017304192
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ecolmodel.2017.09.020?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 look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Hermansen, Øystein & Dreyer, Bent, 2010. "Challenging spatial and seasonal distribution of fish landings--The experiences from rural community quotas in Norway," Marine Policy, Elsevier, vol. 34(3), pages 567-574, May.
    2. Zhou, Can & Fujiwara, Masami & Grant, William E., 2013. "Dynamics of a predator–prey interaction with seasonal reproduction and continuous predation," Ecological Modelling, Elsevier, vol. 268(C), pages 25-36.
    3. Wang, Ying & Duan, Lijie & Li, Shiyu & Zeng, Zeyu & Failler, Pierre, 2015. "Modeling the effect of the seasonal fishing moratorium on the Pearl River Estuary using ecosystem simulation," Ecological Modelling, Elsevier, vol. 312(C), pages 406-416.
    4. Pelletier, Dominique & Mahevas, Stéphanie & Drouineau, Hilaire & Vermard, Youen & Thebaud, Olivier & Guyader, Olivier & Poussin, Benjamin, 2009. "Evaluation of the bioeconomic sustainability of multi-species multi-fleet fisheries under a wide range of policy options using ISIS-Fish," Ecological Modelling, Elsevier, vol. 220(7), pages 1013-1033.
    5. Dominique Pelletier & Stéphanie Mahévas & Hilaire Drouineau & Youen Vermard & Olivier Thébaud & Olivier Guyader, 2009. "Evaluation of the bio-economic sustainability of multi-species multi-fleet fisheries under a wide range of policy options using ISIS-Fish," Post-Print hal-00511774, HAL.
    6. Huang, Jiacong & Gao, Junfeng, 2017. "An improved Ensemble Kalman Filter for optimizing parameters in a coupled phosphorus model for lowland polders in Lake Taihu Basin, China," Ecological Modelling, Elsevier, vol. 357(C), pages 14-22.
    7. Kvamsdal, Sturla F. & Sandal, Leif K., 2012. "The Ensemble Kalman Filter in Bioeconomics," Discussion Papers 2012/5, Norwegian School of Economics, Department of Business and Management Science.
    8. Daniel S. Holland, 2011. "Optimal Intra-annual Exploitation of the Maine Lobster Fishery," Land Economics, University of Wisconsin Press, vol. 87(4), pages 699-711.
    9. Rögnvaldur Hannesson & Kjell G. Salvanes & Dale Squires, 2010. "Technological Change and the Tragedy of the Commons: The Lofoten Fishery over 130 Years," Land Economics, University of Wisconsin Press, vol. 86(4), pages 746-765.
    10. Bjorndal, Trond & Munro, Gordon, 2012. "The Economics and Management of World Fisheries," OUP Catalogue, Oxford University Press, number 9780199576753.
    11. Martin D. Smith, 2012. "The New Fisheries Economics: Incentives Across Many Margins," Annual Review of Resource Economics, Annual Reviews, vol. 4(1), pages 379-402, August.
    12. Clark, Colin W. & Munro, Gordon R., 1975. "The economics of fishing and modern capital theory: A simplified approach," Journal of Environmental Economics and Management, Elsevier, vol. 2(2), pages 92-106, December.
    13. Ola Flaaten, 1983. "The Optimal Harvesting of a Natural Resource with Seasonal Growth," Canadian Journal of Economics, Canadian Economics Association, vol. 16(3), pages 447-462, August.
    14. Ekerhovd, Nils-Arne & Kvamsdal, Sturla F., 2017. "Up the ante on bioeconomic submodels of marine food webs: A data assimilation-based approach," Ecological Economics, Elsevier, vol. 131(C), pages 250-261.
    15. 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.
    16. Claire W. Armstrong & Ussif Rashid Sumaila, 2001. "Optimal Allocation of TAC and the Implications of Implementing an ITQ Management System for the North-East Arctic Cod," Land Economics, University of Wisconsin Press, vol. 77(3), pages 350-359.
    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. Sturla F. Kvamsdal, 2022. "Optimal Management of a Renewable Resource Under Multiple Regimes," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 81(3), pages 481-499, March.
    2. Leif K Sandal & Sturla F Kvamsdal & José M Maroto & Manuel Morán, 2021. "A contraction approach to dynamic optimization problems," PLOS ONE, Public Library of Science, vol. 16(11), pages 1-14, November.
    3. Kvamsdal, Sturla F. & Maroto, José M. & Morán, Manuel & Sandal, Leif K., 2020. "Bioeconomic modeling of seasonal fisheries," European Journal of Operational Research, Elsevier, vol. 281(2), pages 332-340.
    4. Ni, Yuanming & Sandal, Leif Kristoffer, 2019. "Seasonality matters: A multi-season, multi-state dynamic optimization in fisheries," European Journal of Operational Research, Elsevier, vol. 275(2), pages 648-658.

    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. Ni, Yuanming & Sandal, Leif Kristoffer, 2019. "Seasonality matters: A multi-season, multi-state dynamic optimization in fisheries," European Journal of Operational Research, Elsevier, vol. 275(2), pages 648-658.
    2. Kvamsdal, Sturla F. & Maroto, José M. & Morán, Manuel & Sandal, Leif K., 2020. "Bioeconomic modeling of seasonal fisheries," European Journal of Operational Research, Elsevier, vol. 281(2), pages 332-340.
    3. Asche, Frank & Bjørndal, Marianne Tranberg & Bjørndal, Trond, 2014. "Development in fleet fishing capacity in rights based fisheries," Marine Policy, Elsevier, vol. 44(C), pages 166-171.
    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. 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.
    6. Eric Nævdal, 2022. "Productivity and Management of Renewable Resources: Why More Efficient Fishing Fleets Should Fish Less," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 81(3), pages 409-424, March.
    7. Gordon Munro & U. Sumaila, 2015. "On the Contributions of Colin Clark to Fisheries Economics," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 61(1), pages 1-17, May.
    8. Jules Selles, 2018. "Fisheries management: what uncertainties matter?," Working Papers hal-01824238, HAL.
    9. Russo, Tommaso & Pulcinella, Jacopo & Parisi, Antonio & Martinelli, Michela & Belardinelli, Andrea & Santojanni, Alberto & Cataudella, Stefano & Colella, Sabrina & Anderlini, Luca, 2015. "Modelling the strategy of mid-water trawlers targeting small pelagic fish in the Adriatic Sea and its drivers," Ecological Modelling, Elsevier, vol. 300(C), pages 102-113.
    10. Vermard, Youen & Rivot, Etienne & Mahévas, Stéphanie & Marchal, Paul & Gascuel, Didier, 2010. "Identifying fishing trip behaviour and estimating fishing effort from VMS data using Bayesian Hidden Markov Models," Ecological Modelling, Elsevier, vol. 221(15), pages 1757-1769.
    11. McWhinnie, Stephanie F., 2009. "The tragedy of the commons in international fisheries: An empirical examination," Journal of Environmental Economics and Management, Elsevier, vol. 57(3), pages 321-333, May.
    12. Börger, Tobias & Beaumont, Nicola J. & Pendleton, Linwood & Boyle, Kevin J. & Cooper, Philip & Fletcher, Stephen & Haab, Tim & Hanemann, Michael & Hooper, Tara L. & Hussain, S. Salman & Portela, Rosim, 2014. "Incorporating ecosystem services in marine planning: The role of valuation," Marine Policy, Elsevier, vol. 46(C), pages 161-170.
    13. 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.
    14. Doring, Ralf & Egelkraut, Thorsten M., 2008. "Investing in natural capital as management strategy in fisheries: The case of the Baltic Sea cod fishery," Ecological Economics, Elsevier, vol. 64(3), pages 634-642, January.
    15. Oglend, Atle & Asche, Frank & Straume, Hans-Martin, 2024. "Rent formation and distortions due to quotas in biological production processes," Resource and Energy Economics, Elsevier, vol. 77(C).
    16. Inês Pereira & Ualerson Iran Peixoto & Wendell Medeiros-Leal & Morgan Casal-Ribeiro & Régis Santos, 2022. "Multidimensional Indicators to Assess the Sustainability of Demersal Small-Scale Fishery in the Azores," Sustainability, MDPI, vol. 14(24), pages 1-19, December.
    17. Tabeta, Shigeru & Suzuki, Shota & Nakamura, Kenta, 2017. "Assessment of fishery management by using a fishery simulator for bottom otter trawling in Ise Bay," Ecological Modelling, Elsevier, vol. 358(C), pages 40-49.
    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. 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.
    20. Richter, Andries & Dakos, Vasilis, 2015. "Profit fluctuations signal eroding resilience of natural resources," Ecological Economics, Elsevier, vol. 117(C), pages 12-21.

    More about this item

    Keywords

    Bioeconomic modelling; Seasonal fisheries; Sustainable management of resources; Discrete-time dynamic optimization; Kalman filter; Runge-Kutta method;
    All these keywords.

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • Q22 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Fishery
    • Q57 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Ecological Economics

    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:eee:ecomod:v:364:y:2017:i:c:p:124-131. 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.