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Impacts of maximum sustainable yield policy to prey–predator systems

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  • Kar, T.K.
  • Ghosh, Bapan

Abstract

This article investigates the effects of reaching the maximum sustainable yield (MSY) in prey–predator systems where the prey population follows logistic law of growth. Two different models are proposed: (i) first model involves linear prey–predator interaction and intraspecific competition among predator populations, and (ii) the second one is a ratio-dependent prey–predator system. In the first model, our results suggest that the introduction of intraspecific competition among predator population has important consequences for the fishing to reach MSY from prey species and maximum sustainable total yield (MSTY) for combined harvesting of both prey and predator species. On the otherhand, in the second model, our results suggest that though the harvesting of prey species at MSY level shall be guaranteed the coexistence of both the species, but the combined harvesting of both the species at MSTY level may cause extinction of the predator species. However, for both the models, predator harvesting at MSY level may be a sustainable fishing policy. Therefore, based on our results we can conclude that MSY (or MSTY) policy in prey–predator systems in nature are not likely to fit requirements of Conservation of Biological Diversity (CBD, 1992) in all cases.

Suggested Citation

  • Kar, T.K. & Ghosh, Bapan, 2013. "Impacts of maximum sustainable yield policy to prey–predator systems," Ecological Modelling, Elsevier, vol. 250(C), pages 134-142.
    • Handle: RePEc:eee:ecomod:v:250:y:2013:i:c:p:134-142
    DOI: 10.1016/j.ecolmodel.2012.11.015
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    References listed on IDEAS

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    1. Legović, Tarzan & Klanjšček, Jasminka & Geček, Sunčana, 2010. "Maximum sustainable yield and species extinction in ecosystems," Ecological Modelling, Elsevier, vol. 221(12), pages 1569-1574.
    2. Legović, Tarzan, 2008. "Impact of demersal fishery and evidence of the Volterra principle to the extreme in the Adriatic Sea," Ecological Modelling, Elsevier, vol. 212(1), pages 68-73.
    3. Legović, Tarzan & Geček, Sunčana, 2010. "Impact of maximum sustainable yield on independent populations," Ecological Modelling, Elsevier, vol. 221(17), pages 2108-2111.
    4. Legović, Tarzan & Geček, Sunčana, 2012. "Impact of maximum sustainable yield on mutualistic communities," Ecological Modelling, Elsevier, vol. 230(C), pages 63-72.
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    Citations

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    1. Ghosh, Bapan & Kar, T.K., 2014. "Sustainable use of prey species in a prey–predator system: Jointly determined ecological thresholds and economic trade-offs," Ecological Modelling, Elsevier, vol. 272(C), pages 49-58.
    2. Das, Debabrata & Kar, T.K. & Pal, Debprasad, 2023. "The impact of invasive species on some ecological services in a harvested predator–prey system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 212(C), pages 66-90.
    3. Paul, Prosenjit & Kar, T.K. & Ghorai, Abhijit, 2016. "Ecotourism and fishing in a common ground of two interacting species," Ecological Modelling, Elsevier, vol. 328(C), pages 1-13.
    4. Paul, Prosenjit & Kar, T.K., 2016. "Impacts of invasive species on the sustainable use of native exploited species," Ecological Modelling, Elsevier, vol. 340(C), pages 106-115.
    5. Choirul Basir & Asep Kuswandi Supriatna & Sukono & Jumadil Saputra, 2023. "Prey–Predator Mathematics Model for Fisheries Insurance Calculations in the Search of Optimal Strategies for Inland Fisheries Management: A Systematic Literature Review," Sustainability, MDPI, vol. 15(16), pages 1-14, August.
    6. Auger, Pierre & Kooi, Bob & Moussaoui, Ali, 2022. "Increase of maximum sustainable yield for fishery in two patches with fast migration," Ecological Modelling, Elsevier, vol. 467(C).
    7. Pierre Auger & Ali Moussaoui, 2022. "Coupling of Bio-Reactors to Increase Maximum Sustainable Yield," Mathematics, MDPI, vol. 10(4), pages 1-18, February.
    8. Aleksandr Abakumov & Yuri Izrailsky, 2022. "Optimal Harvest Problem for Fish Population—Structural Stabilization," Mathematics, MDPI, vol. 10(6), pages 1-16, March.
    9. Woodall, Hannah & Bullock, James M. & White, Steven M., 2014. "Modelling the harvest of an insect pathogen," Ecological Modelling, Elsevier, vol. 287(C), pages 16-26.

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