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Optimal management of renewable resources with Darwinian selection induced by harvesting

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  • Guttormsen, Atle G.
  • Kristofersson, Dadi
  • Nævdal, Eric

Abstract

We present a bioeconomic analysis of the optimal long-term management of a genetic resource in the presence of selective harvesting. It is assumed that individuals possessing a particular gene have a lower natural mortality rate and are more valuable to capture. Highly selective harvesting may cause such a gene to lose its fitness advantage, and hence change the evolutionary path of the species. Results indicate that in a zero-cost harvesting regime, the decision to preserve the valuable gene depends on the natural rate of selection against less valuable individuals and the interest rate. On the other hand, the decision to let the less valuable gene become a significant fraction of the genes depends only on biological parameters. If marginal costs are positive, it is never optimal to let a valuable gene become extinct. Further, for some parameter values, the system exhibits multiple equilibriums. Therefore, optimal regulation may depend on initial conditions.

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  • Guttormsen, Atle G. & Kristofersson, Dadi & Nævdal, Eric, 2008. "Optimal management of renewable resources with Darwinian selection induced by harvesting," Journal of Environmental Economics and Management, Elsevier, vol. 56(2), pages 167-179, September.
    • Handle: RePEc:eee:jeeman:v:56:y:2008:i:2:p:167-179
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    3. Yue Tan & Sunny L. Jardine, 2019. "Considering Economic Efficiency in Ecosystem-Based Management: The Case of Horseshoe Crabs in Delaware Bay," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 72(2), pages 511-538, February.
    4. Naevdal, Eric & Olaussen, Jon Olaf & Skonhoft, Anders, 2012. "A bioeconomic model of trophy hunting," Ecological Economics, Elsevier, vol. 73(C), pages 194-205.
    5. Vitaly G. Il’ichev & Dmitry B. Rokhlin, 2022. "Internal Prices and Optimal Exploitation of Natural Resources," Mathematics, MDPI, vol. 10(11), pages 1-14, May.
    6. 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.
    7. Michael R. Springborn & Amanda Faig & Allison Dedrick & Marissa L. Baskett, 2020. "Beyond Biomass: Valuing Genetic Diversity in Natural Resource Management," American Journal of Agricultural Economics, John Wiley & Sons, vol. 102(2), pages 607-624, March.
    8. Florian Diekert & Dag Hjermann & Eric Nævdal & Nils Stenseth, 2010. "Spare the Young Fish: Optimal Harvesting Policies for North-East Arctic Cod," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 47(4), pages 455-475, December.
    9. Min-Yang Lee, 2014. "Hedonic Pricing of Atlantic Cod: Effects of Size, Freshness, and Gear," Marine Resource Economics, University of Chicago Press, vol. 29(3), pages 259-277.
    10. Nævdal, Eric & Skonhoft, Anders, 2018. "New insights from the canonical fisheries model – Optimal management when stocks are low," Journal of Environmental Economics and Management, Elsevier, vol. 92(C), pages 125-133.
    11. Eric Sjöberg, 2015. "Pricing on the Fish Market--Does Size Matter?," Marine Resource Economics, University of Chicago Press, vol. 30(3), pages 277-296.
    12. Yajie Liu & Jon Olaf Olaussen & Anders Skonhoft, 2011. "When a Fish is a Fish: The Economic Impacts of Escaped Farmed Fish," Working Paper Series 12011, Department of Economics, Norwegian University of Science and Technology.
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