How to model marine reserves? | INSTITUT DE PHYSIQUE DU GLOBE DE PARIS

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  How to model marine reserves?

Publication Type:

Journal Article

Source:

Nonlinear Analysis-Real World Applications, Volume 10, Issue 3, p.1784-1796 (2009)

ISBN:

1468-1218

Accession Number:

ISI:000264535500045

URL:

http://www.sciencedirect.com/science/article/pii/S146812180800059X

Keywords:

UMR 7154 ; Physico-chimie des Fluides Géologiques ; Dynamical system; Calculus of variation; Infinite horizon; Marine reserve; Bioeconomic model

Abstract:

The safeguarding of resources is one of the principal subjects of halieutics studies. Among the solutions proposed to avert the disappearance of species, the setting in place of preservation (no take) reserves is often mentioned. Most work on this subject, theoretical as well as applied, was undertaken in recent years. In this paper, we seek to compare two different models presented in existing literature by highlighting their underlying assumptions. Both models were derived from what is often referred to as the "model of Schaefer-Clark" (reference to the work of the last author on Mathematical Bioeconomics: Clark [C.W. Clark, Mathematical Bioecomics: The Optimal Management of Renewable Resources, 2nd ed., John Wiley and Sons, New-York, 1990]). We show that various variations of this model lead to properties that can be very different. (C) 2008 Elsevier Ltd. All rights reserved.

Notes:

Loisel, Patrice Cartigny, Pierre