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Optimal Harvesting of an Age-Structured Schooling Fishery

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  • Olli Tahvonen
  • Martin Quaas
  • Jörn Schmidt
  • Rudi Voss

Abstract

Biologists have criticized traditional biomass models in fishery economics for being oversimplified. Biological stock assessment models are more sophisticated with regard to biological content, but rarely account for economic objectives. This study includes a full age-structured population model for studying schooling fisheries and extends the delayed difference approach used in earlier studies. We take the total harvest as the choice variable, resulting in a simple analytical structure. The model produces optimal steady states that may be higher or lower compared to the delayed-difference formulation. The model is applied to the Baltic sprat fishery. Both ecological and harvesting cost data support specifying Baltic sprat as a schooling fishery. Given nonlinear harvesting costs, the optimal solution is a path toward a steady state with smooth annual harvest and population age structure. Sensitivity analysis shows that the optimal solution is highly dependent on the population level of the sprat’s main predator Baltic cod. A linear cost function and an interest rate below 9 % imply pulse fishing instead of smooth continuous harvesting. Given nonlinear harvesting cost, the optimal steady state yield is rather insensitive to changes in the interest rate. However, under a high cod scenario, interest rates of 10 % or higher implies that no optimal steady state exists. Copyright Springer Science+Business Media B.V. 2013

Suggested Citation

  • 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.
    • Handle: RePEc:kap:enreec:v:54:y:2013:i:1:p:21-39
    DOI: 10.1007/s10640-012-9579-x
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    Cited by:

    1. 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.
    2. 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.
    3. Rämö, Janne & Tupek, Boris & Lehtonen, Heikki & Mäkipää, Raisa, 2023. "Towards climate targets with cropland afforestation – effect of subsidies on profitability," Land Use Policy, Elsevier, vol. 124(C).
    4. Christine Bertram & Martin F. Quaas, 2017. "Biodiversity and Optimal Multi-species Ecosystem Management," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 67(2), pages 321-350, June.
    5. Thorsten Upmann & Stefan Behringer, 2017. "Harvesting a Remote Renewable Resource," CESifo Working Paper Series 6724, CESifo.
    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. 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.
    8. 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.
    9. Voss, Rudi & Quaas, Martin F. & Schmidt, Jörn O. & Stoeven, Max T. & Francis, Tessa B. & Levin, Phillip S. & Armitage, Derek R. & Cleary, Jaclyn S. & Jones, R. Russ & Lee, Lynn C. & Okamoto, Daniel K., 2018. "Quantifying the benefits of spatial fisheries management – An ecological-economic optimization approach," Ecological Modelling, Elsevier, vol. 385(C), pages 165-172.
    10. Toumasatos, Evangelos & Sandal, Leif Kristoffer & Steinshamn, Stein Ivar, 2022. "Keep it in house or sell it abroad? A framework to evaluate fairness," European Journal of Operational Research, Elsevier, vol. 297(2), pages 709-728.
    11. Rosa, Renato & Costa, Tiago & Mota, Rui Pedro, 2022. "Incorporating economics into fishery policies: Developing integrated ecological-economics harvest control rules," Ecological Economics, Elsevier, vol. 196(C).
    12. Hutniczak, Barbara, 2015. "Modeling heterogeneous fleet in an ecosystem based management context," Ecological Economics, Elsevier, vol. 120(C), pages 203-214.
    13. 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).
    14. 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.
    15. Rudi Voss & Martin F Quaas & Jörn O Schmidt & Olli Tahvonen & Martin Lindegren & Christian Möllmann, 2014. "Assessing Social – Ecological Trade-Offs to Advance Ecosystem-Based Fisheries Management," PLOS ONE, Public Library of Science, vol. 9(9), pages 1-8, September.

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    More about this item

    Keywords

    Age-structured models; Optimal harvesting; Economic-ecological optimization; Fishery management; Multispecies interaction; Q22; Q57; Q28;
    All these keywords.

    JEL classification:

    • 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
    • Q28 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Government Policy

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