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Sustainable Yields for Ecosystems. A Mathematical Viability Approach

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Abstract
  • We define the notion of sustainable yields for ecosystem, with particular emphasis on long-run consistency between ecological and economic conflicting objectives. We provide a way to compute sustainable yields by means of a viability analysis of generic ecosystem models with harvesting. We apply our approach to a Lotka–Volterra model of the anchovy–hake couple in the Peruvian upwelling ecosystem between the years 1971 and 1981. Our analysis suggests that, during the anchovy collapse, the fishery could theoretically have been viably managed to produce catches above the expected levels while ensuring biological conservation. Control theory and viability theory methods have allowed us to introduce ecosystem considerations, such as multispecies and multiobjectives, and have contributed to integrate the long term dynamics, which is generally not considered in conventional fishery management.
  • Keywords: Fisheries Modeling, Fisheries Economics, Modeling and Economic Theory
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  • De Lara, Michel, Eladio Ocana, Ricardo Oliveros-Ramos and Jorge Tam. 2010. Sustainable Yields for Ecosystems. A Mathematical Viability Approach. 12 pages. In: Proceedings of the Fifteenth Biennial Conference of the International Institute of Fisheries Economics & Trade, July 13-16, 2010, Montpellier, France: Economics of Fish Resources and Aquatic Ecosystems: Balancing Uses, Balancing Costs. Compiled by Ann L. Shriver. International Institute of Fisheries Economics & Trade, Corvallis, Oregon, USA, 2010.
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  • US National Oceanic and Atmospheric Administration (NOAA) Fisheries Division, Agence Française de Développement, Ministère de l’Enseignement Supérieur et de la Recherche, Ministère de L’Alimentation de L’Agriculture et de la Pêche, Ministère de l’Énergie, du Développement Durable et de la Mer, La Région Languedoc Rouslilon, Département Hérault, Montpellier Agglomèration, The Department of Fisheries and Oceans, Canada, and AquaFish Collaborative Research Support Program (CRSP).
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