Viable harvest of monotone bioeconomic models

Abstract : Some monospecies age class models, as well as specific multi-species models (with so-called technical interactions), exhibit useful monotonicity properties. This paper deals with discrete time monotone bioeconomics dynamics in the presence of state and control constraints. In practice, these latter ``acceptable configurations'' represent production and preservation requirements to be satisfied for all time, and they also possess monotonicity properties. A state $\state$ is said to belong to the viability kernel if there exists a trajectory, of states and controls, starting from $\state$ and satisfying the constraints. Under monotonicity assumptions, we present upper and lower estimates of the viability kernel. This helps delineating domains where a viable management is possible. Numerical examples, in the context of fisheries management, for the Chilean sea bass (\emph{Dissostichus eleginoides}) and Alfonsino (\emph{Beryx splendens}) are given.
Type de document :
Article dans une revue
Systems and Control Letters, Elsevier, 2011, 60 (3), pp.192-197. 〈10.1016/j.sysconle.2010.12.004〉
Liste complète des métadonnées

Littérature citée [16 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-00399235
Contributeur : Michel De Lara <>
Soumis le : jeudi 25 juin 2009 - 22:57:02
Dernière modification le : jeudi 11 janvier 2018 - 06:12:21
Document(s) archivé(s) le : mardi 15 juin 2010 - 18:52:25

Fichiers

JMB_monotone_20090625.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

Citation

Michel De Lara, Pedro Gajardo, Hector Ramirez Cabrera. Viable harvest of monotone bioeconomic models. Systems and Control Letters, Elsevier, 2011, 60 (3), pp.192-197. 〈10.1016/j.sysconle.2010.12.004〉. 〈hal-00399235〉

Partager

Métriques

Consultations de la notice

271

Téléchargements de fichiers

208