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Defining yield policies in a viability approach

Author

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  • Chapel, Laetitia
  • Deffuant, Guillaume
  • Martin, Sophie
  • Mullon, Christian

Abstract

Mullon et al. [Mullon, C., Curry, P., Shannon, L., 2004. Viability model of trophic interactions in marine ecosystems. Nat. Resour. Model. 17 (1), 27–58] proposed a dynamical model of biomass evolution in the Southern Benguela ecosystem, including five different groups (detritus, phytoplankton, zooplankton, pelagic fish and demersal fish). They studied this model in a viability perspective, trying to assess, for a given constant yield, whether each species biomass remains inside a given interval, taking into account the uncertainty on the interaction coefficients. Instead of studying the healthy states of this marine ecosystem with a constant yield, we focus here on the yield policies which keep the system viable. Using the mathematical concept of viability kernel, we examine how yield management might guarantee viable fisheries. One of the main practical difficulties up to now with the viability theory was the lack of methods to solve the problem in large dimensions. In this paper, we use a new method based on SVMs, which gives this theory a larger practical potential. Solving the viability problem provides all yield policies (if any) which guarantee a perennial system. We illustrate our main findings with numerical simulations.

Suggested Citation

  • Chapel, Laetitia & Deffuant, Guillaume & Martin, Sophie & Mullon, Christian, 2008. "Defining yield policies in a viability approach," Ecological Modelling, Elsevier, vol. 212(1), pages 10-15.
  • Handle: RePEc:eee:ecomod:v:212:y:2008:i:1:p:10-15
    DOI: 10.1016/j.ecolmodel.2007.10.007
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    References listed on IDEAS

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    1. Bene, C. & Doyen, L. & Gabay, D., 2001. "A viability analysis for a bio-economic model," Ecological Economics, Elsevier, vol. 36(3), pages 385-396, March.
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    1. Wei, W. & Alvarez, I. & Martin, S., 2013. "Sustainability analysis: Viability concepts to consider transient and asymptotical dynamics in socio-ecological tourism-based systems," Ecological Modelling, Elsevier, vol. 251(C), pages 103-113.
    2. Cissé, A.A. & Doyen, L. & Blanchard, F. & Béné, C. & Péreau, J.-C., 2015. "Ecoviability for small-scale fisheries in the context of food security constraints," Ecological Economics, Elsevier, vol. 119(C), pages 39-52.
    3. Martinet, Vincent & Blanchard, Fabian, 2009. "Fishery externalities and biodiversity: Trade-offs between the viability of shrimp trawling and the conservation of Frigatebirds in French Guiana," Ecological Economics, Elsevier, vol. 68(12), pages 2960-2968, October.
    4. repec:mse:cesdoc:13006r is not listed on IDEAS
    5. Esther Regnier & Michel de Lara, 2015. "Robust Viable Analysis of an Ecosystem Model," PSE-Ecole d'économie de Paris (Postprint) halshs-00786409, HAL.
    6. Doyen, L. & Thébaud, O. & Béné, C. & Martinet, V. & Gourguet, S. & Bertignac, M. & Fifas, S. & Blanchard, F., 2012. "A stochastic viability approach to ecosystem-based fisheries management," Ecological Economics, Elsevier, vol. 75(C), pages 32-42.
    7. Antoine Brias & Jean-Denis Mathias & Guillaume Deffuant, 2016. "Accelerating viability kernel computation with CUDA architecture: application to bycatch fishery management," Computational Management Science, Springer, vol. 13(3), pages 371-391, July.

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