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Marine reserves. A bio-economic model with asymmetric density dependent migration


  • Anders Skonhoft

    () (Department of Economics, Norwegian University of Science and Technology)

  • Claire Armstrong

    (Norwegian College of Fishery Science, University of Tromsø)


A static bioeconomic model of a marine reserve allowing asymmetric density dependent migration between the reserve and the fishable area is introduced. This opens for habitat or ecosystem differences allowing different fish densities within and outside a reserve, not described in earlier studies. Four management scenarios are studied; a) maximum harvest, b) maximum current profit, c) open access and d) maximum sustainable yield (MSY) in the reserve. These are all analysed within the Induced Sustainable Yield Function (ISYF), giving the relationship between the fish abundance inside the reserve and the harvesting taking place outside. A numerical analysis shows that management focused on ensuring MSY within the reserve under the assumption of symmetric migration may be negative from an economic point of view, when the area outside the reserve is detrimental compared to the reserve. Furthermore, choice of management option may also have negative consequences for long run resource use if it is incorrectly assumed that density dependent migration is symmetric. The analysis also shows that the optimal area to close, either a more or a less attractive ecosystem for the resource in question, may differ depending on the management goal.

Suggested Citation

  • Anders Skonhoft & Claire Armstrong, 2005. "Marine reserves. A bio-economic model with asymmetric density dependent migration," Working Paper Series 5005, Department of Economics, Norwegian University of Science and Technology.
  • Handle: RePEc:nst:samfok:5005

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    References listed on IDEAS

    1. Ussif Rashid Sumaila & Claire W. Armstrong, 2006. "Distributional and Efficiency Effects of Marine Protected Areas: A Study of the Northeast Atlantic Cod Fishery," Land Economics, University of Wisconsin Press, vol. 82(3), pages 321-332.
    2. Sanchirico, James & Wilen, James, 2000. "The Impacts of Marine Reserves on Limited-Entry Fisheries," Discussion Papers dp-00-34, Resources For the Future.
    3. Schnier, Kurt Erik, 2005. "Biological "hot spots" and their effect on optimal bioeconomic marine reserve formation," Ecological Economics, Elsevier, vol. 52(4), pages 453-468, March.
    4. Sanchirico, James N. & Wilen, James E., 2001. "A Bioeconomic Model of Marine Reserve Creation," Journal of Environmental Economics and Management, Elsevier, vol. 42(3), pages 257-276, November.
    5. Sanchirico, James N. & Wilen, James E., 1999. "Bioeconomics of Spatial Exploitation in a Patchy Environment," Journal of Environmental Economics and Management, Elsevier, vol. 37(2), pages 129-150, March.
    6. Smith, Martin D. & Wilen, James E., 2003. "Economic impacts of marine reserves: the importance of spatial behavior," Journal of Environmental Economics and Management, Elsevier, vol. 46(2), pages 183-206, September.
    7. Claire Armstrong, 1999. "Sharing a Fish Resource – Bioeconomic Analysis of An Applied Allocation Rule," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 13(1), pages 75-94, January.
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    Cited by:

    1. Skonhoft, Anders, 2007. "Economic modeling approaches for wildlife and species conservation," Ecological Economics, Elsevier, vol. 62(2), pages 223-231, April.
    2. Armstrong, Claire W., 2007. "A note on the ecological-economic modelling of marine reserves in fisheries," Ecological Economics, Elsevier, vol. 62(2), pages 242-250, April.
    3. Eppink, Florian V. & Withagen, Cees A., 2009. "Spatial patterns of biodiversity conservation in a multiregional general equilibrium model," Resource and Energy Economics, Elsevier, vol. 31(2), pages 75-88, May.
    4. Kotani, Koji & Ishii, Hiromasa & Matsuda, Hiroyuki & Tohru, Ikeda, 2007. "Invasive species management in two-patch environments: Agricultural damage control in the raccoon (procyon lotor) problem, Hokkaido, Japan," MPRA Paper 23438, University Library of Munich, Germany.
    5. Yamazaki, Satoshi & Jennings, Sarah & Quentin Grafton, R. & Kompas, Tom, 2015. "Are marine reserves and harvest control rules substitutes or complements for rebuilding fisheries?," Resource and Energy Economics, Elsevier, vol. 40(C), pages 1-18.
    6. Anders Skonhoft & Wenting Chen, 2011. "On the management of interconnected wildlife populations," Working Paper Series 12311, Department of Economics, Norwegian University of Science and Technology.
    7. Michael Finus & Raoul Schneider & Pedro Pintassilgo, 2019. "The Role of Social and Technical Excludability for the Success of Impure Public Good and Common Pool Agreements: The Case of International Fisheries," Graz Economics Papers 2019-12, University of Graz, Department of Economics.
    8. 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.
    9. Finus, Michael & Schneider, Raoul & Pintassilgo, Pedro, 2020. "The role of social and technical excludability for the success of impure public good and common pool agreements," Resource and Energy Economics, Elsevier, vol. 59(C).
    10. Wisdom Akpalu & Worku Bitew, 2014. "Optimum reserve size, fishing induced change in carrying capacity, and phenotypic diversity," Journal of Bioeconomics, Springer, vol. 16(3), pages 289-304, October.

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    bioeconomics; marine reserves; migration; management;

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