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Invasive species management in two-patch environments: Agricultural damage control in the raccoon (procyon lotor) problem, Hokkaido, Japan


  • Kotani, Koji
  • Ishii, Hiromasa
  • Matsuda, Hiroyuki
  • Tohru, Ikeda


We develop discrete-time models for analyzing the long run equilibrium outcomes on invasive species management in two-patch environments with migration. In particular, the focus is upon a situation where removal operations for invasive species are implemented only in one patch (controlled patch). The new features of the model are that (i) asymmetry in density dependent migration is considered, which may originate from impact of harvesting as well as heterogeneous habitat conditions, and (ii) the effect of density-dependent catchability is well-taken to account for the nature that required effort level to remove one individual may rise as the existing population decreases. The model is applied for agricultural damage control in the raccoon problem that has occurred in Hokkaido, Japan. Numerical illustration demonstrates that the long run equilibrium outcomes highly depend on the degree of asymmetry in migration as well as the sensitivity of catchability in response to a change in the population size of invasive species. Furthermore, we characterize the conditions under which the economically optimal effort levels are qualitatively affected by the above two factors and aiming at local extermination of invasive species in controlled patch is justified.

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  • 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.
  • Handle: RePEc:pra:mprapa:23438

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    References listed on IDEAS

    1. Armstrong, Claire W. & Skonhoft, Anders, 2006. "Marine reserves: A bio-economic model with asymmetric density dependent migration," Ecological Economics, Elsevier, vol. 57(3), pages 466-476, May.
    2. Moxnes, Erling, 2003. "Uncertain measurements of renewable resources: approximations, harvesting policies and value of accuracy," Journal of Environmental Economics and Management, Elsevier, vol. 45(1), pages 85-108, January.
    3. Reed, William J., 1979. "Optimal escapement levels in stochastic and deterministic harvesting models," Journal of Environmental Economics and Management, Elsevier, vol. 6(4), pages 350-363, December.
    4. Lars J. Olson & Santanu Roy, 2002. "The Economics of Controlling a Stochastic Biological Invasion," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 84(5), pages 1311-1316.
    5. Mark Eiswerth & Wayne Johnson, 2002. "Managing Nonindigenous Invasive Species: Insights from Dynamic Analysis," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 23(3), pages 319-342, November.
    6. Perrings, Charles, 2005. "Mitigation and adaptation strategies for the control of biological invasions," Ecological Economics, Elsevier, vol. 52(3), pages 315-325, February.
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    More about this item


    catchability; meta-population; local extermination; removal effort; density dependent migration;

    JEL classification:

    • N5 - Economic History - - Agriculture, Natural Resources, Environment and Extractive Industries


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