IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v425y2022ics009630032200145x.html
   My bibliography  Save this article

Optimal harvest strategy based on a discrete age-structured model with monthly fishing effort for chub mackerel, Scomber japonicus, in South Korea

Author

Listed:
  • Jang, Geunsoo
  • Cho, Giphil

Abstract

Currently, the catch of fishery resources in South Korea has fallen more than 40%, from 1.73 million tons in 1986 to 1.01 million tons in 2018. In particular, the amount of chub mackerel, one of the most favored fish species by South Koreans, caught in 2017 was 103,870 tons, which was only 25% of the total catch, compared with 415,003 tons in 1996. The total allowable catch system and the closed season are currently in place as a countermeasure to the continued decline in fishery resources; however, their effectiveness is questionable. Our study aims to maximize fishing profits by controlling the monthly fishing effort while maintaining the amount of chub mackerel. Discrete age-structured mathematical model was established with an optimal harvest control system. Density-dependent mortality was applied at the juvenile stage to reflect fish mortality because it is highly dependent on population density in the underage phase. The conditions of the parameters guaranteeing the existence of optimal harvest strategies were demonstrated and obtained using Pontryagin's maximum principle. We compared an optimal harvest strategies and the actual harvest strategies of fishing effort from July 2010 to June 2020. In addition, we compared the profit and biomass of the optimal harvest strategies when designating one month in a year as closed season. We also conducted sensitivity analysis by varying the price of chub mackerel and cost of fishing effort. As a result, the optimal harvest strategies are to have the highest amount of fishing effort from August to September and gradually reduce the amount of effort. The optimal harvest strategies could improve the maximum economic yield and the maximum sustainable yield by 11.9% and 10.9%, respectively, over the observed strategy. To the best of our knowledge, forecasting analysis of the maximum economic yield and closed season conducted based on optimal harvest control system for Chub mackerel in South Korea. The appropriate allocation of monthly fishing effort can increase sustainable catch and profit. In addition, it is better to implement a closed season in July to maximize the profit of fishing and in June to the resource recovery.

Suggested Citation

  • Jang, Geunsoo & Cho, Giphil, 2022. "Optimal harvest strategy based on a discrete age-structured model with monthly fishing effort for chub mackerel, Scomber japonicus, in South Korea," Applied Mathematics and Computation, Elsevier, vol. 425(C).
    • Handle: RePEc:eee:apmaco:v:425:y:2022:i:c:s009630032200145x
    DOI: 10.1016/j.amc.2022.127059
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S009630032200145X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2022.127059?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. 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.
    2. Messaoud Bounkhel & Lotfi Tadj, 2015. "Optimal Harvesting Effort for Nonlinear Predictive Control Model for a Single Species Fishery," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-8, February.
    3. Qiu, Hong & Deng, Wenmin, 2018. "Optimal harvesting of a stochastic delay competitive Lotka–Volterra model with Lévy jumps," Applied Mathematics and Computation, Elsevier, vol. 317(C), pages 210-222.
    4. Bairagi, Nandadulal & Bhattacharya, Santanu & Auger, Pierre & Sarkar, Biswajit, 2021. "Bioeconomics fishery model in presence of infection: Sustainability and demand-price perspectives," Applied Mathematics and Computation, Elsevier, vol. 405(C).
    5. Qiu, Hong & Deng, Wenmin, 2018. "Optimal harvesting of a stochastic delay tri-trophic food-chain model with Lévy jumps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1715-1728.
    6. Dou, Jiawei & Li, Shundong, 2017. "Optimal impulsive harvesting policies for single-species populations," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 145-155.
    7. Olli Tahvonen & Martin Quaas & Jörn Schmidt & Rudi Voss, 2013. "Optimal Harvesting of an Age-Structured Schooling Fishery," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 54(1), pages 21-39, January.
    8. Liu, Guodong & Chang, Zhengbo & Meng, Xinzhu & Liu, Siyu, 2020. "Optimality for a diffusive predator-prey system in a spatially heterogeneous environment incorporating a prey refuge," Applied Mathematics and Computation, Elsevier, vol. 384(C).
    Full references (including those not matched with items on IDEAS)

    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 & 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. Behringer, Stefan & Upmann, Thorsten, 2017. "Harvesting a Remote Renewable Resource," VfS Annual Conference 2017 (Vienna): Alternative Structures for Money and Banking 168250, Verein für Socialpolitik / German Economic Association.
    3. 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.
    4. Anne Borge Johannesen & Jon Olaf Olaussen & Anders Skonhoft, 2019. "Livestock and Carnivores: Economic and Ecological Interactions," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 74(1), pages 295-317, September.
    5. Hutniczak, Barbara, 2015. "Modeling heterogeneous fleet in an ecosystem based management context," Ecological Economics, Elsevier, vol. 120(C), pages 203-214.
    6. 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.
    7. Renato Rosa & João Vaz & Rui Mota & Alexandra Silva, 2018. "Preference for Landings’ Smoothing and Risk of Collapse in Optimal Fishery Policies: The Ibero-Atlantic Sardine Fishery," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 71(4), pages 875-895, December.
    8. Jana, Debaldev & Pathak, Rachana & Agarwal, Manju, 2016. "On the stability and Hopf bifurcation of a prey-generalist predator system with independent age-selective harvesting," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 252-273.
    9. Martin F. Quaas & Max T. Stoeven & Bernd Klauer & Thomas Petersen & Johannes Schiller, 2018. "Windows of Opportunity for Sustainable Fisheries Management: The Case of Eastern Baltic Cod," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 70(2), pages 323-341, June.
    10. 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.
    11. 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.
    12. Ma, Tingting & Meng, Xinzhu & Hayat, Tasawar & Hobiny, Aatef, 2021. "Stability analysis and optimal harvesting control of a cross-diffusion prey-predator system," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    13. Rong Liu & Guirong Liu, 2018. "Asymptotic Behavior of a Stochastic Two-Species Competition Model under the Effect of Disease," Complexity, Hindawi, vol. 2018, pages 1-15, November.
    14. Liu, Meng & Bai, Chuanzhi, 2020. "Optimal harvesting of a stochastic mutualism model with regime-switching," Applied Mathematics and Computation, Elsevier, vol. 373(C).
    15. Melstrom, Richard T., 2015. "Cyclical harvesting in fisheries with bycatch," Resource and Energy Economics, Elsevier, vol. 42(C), pages 1-15.
    16. Leishi Wang & Mingtao Li & Xin Pei & Juan Zhang, 2022. "Optimal Breeding Strategy for Livestock with a Dynamic Price," Mathematics, MDPI, vol. 10(10), pages 1-24, May.
    17. 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.
    18. Ing-Marie Gren & Kerstin Holmgren & Willem Goedkoop, 2023. "Fishing motives and economic effects of climate change: an application on Arctic char in northern Sweden," Journal of Bioeconomics, Springer, vol. 25(3), pages 203-223, December.
    19. N. Quérou & A. Tomini, 2018. "Marine Ecosystem Considerations and Second-Best Management," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 70(2), pages 381-401, June.
    20. Zhdanova, Oksana L. & Kuzin, Аlexey Е. & Skaletskaya, Elena I. & Frisman, Еfim Ya., 2017. "Why the population of the northern fur seals (Callorhinus ursinus) of Tyuleniy Island does not recover following the harvest ban: Analysis of 56 years of observation data," Ecological Modelling, Elsevier, vol. 363(C), pages 57-67.

    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:apmaco:v:425:y:2022:i:c:s009630032200145x. 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: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.