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| HAL: hal-00587663, version 1 |
| arXiv: 1104.4266 |
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| Available versions: | v1 (2011-04-21) | v2 (2011-11-30) |
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| Ecosystem Viable Yields |
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| Michel De Lara 1Eladio Ocana Anaya 2 |
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| For the MIFIMA (Mathematics, Informatics and Fisheries Management) international research network collaboration(s) |
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| (2011-04-21) |
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| The World Summit on Sustainable Development (Johannesburg, 2002) encouraged the application of the ecosystem approach by 2010. However, at the same Summit, the signatory States undertook to restore and exploit their stocks at maximum sustainable yield (MSY), a concept and practice without ecosystemic dimension, since MSY is computed species by species, on the basis of a monospecific model. Acknowledging this gap, we propose a definition of ''ecosystem viable yields'' (EVY) as yields compatible i) with biological viability levels for all time and ii) with an ecosystem dynamics. To the difference of MSY, this notion is not based on equilibrium, but on viability theory, which offers advantages for robustness. For a generic class of multispecies models with harvesting, we provide explicit expressions for the EVY. We apply our approach to the anchovy--hake couple in the Peruvian upwelling ecosystem between the years 1971 and 1981. |
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| 1: | Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS) |
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Ecole des Ponts ParisTech |
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| 2: | Instituto de Matematica y Ciencias Afines (IMCA) |
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Universidad Nacional de Ingenieria |
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| 3: | Instituto del Mar del Perú |
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Instituto del Mar del Peru |
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| 4: | Research Center for Oceanographic and Biological Fishery Modelling (CIMOBP) |
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Peruvian Marine Research Institute (IMARPE) |
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| Subject | : | Mathematics/Optimization and Control |
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| control theory – state constraints – viability – predator--prey – ecosystem management – Peruvian upwelling ecosystem |
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| Attached file list to this document: | ||||||||||
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| hal-00587663, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00587663 | |
| oai:hal.archives-ouvertes.fr:hal-00587663 | |
| From: Michel De Lara | |
| Submitted on: Thursday, 21 April 2011 15:38:07 | |
| Updated on: Thursday, 21 April 2011 15:53:20 | |
