# On the stock estimation for some fishery systems

1 MASAIE - Tools and models of nonlinear control theory for epidemiology and immunology
LMAM - Laboratoire de Mathématiques et Applications de Metz, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
Abstract : In this work we address the stock estimation problem for two fishery models. We show that a tool from nonlinear control theory called "observer" can be helpful to deal with the resource stock estimation in the field of renewable resource management. It is often difficult or expensive to measure all the state variables characterising the evolution of a given population system, therefore the question arises whether from the observation of certain indicators of the considered system, the whole state of the population system can be recovered or at least estimated. The goal of this paper is to show how some techniques of control theory can be applied for the approximate estimation of the unmeasurable state variables using only the observed data together with the dynamical model describing the evolution of the system. More precisely we shall consider two fishery models and we shall show how to built for each model an auxiliary dynamical system (the observer) that uses the available data (the total of caught fish) and which produces a dynamical estimation $\hat x(t)$ of the unmeasurable stock state $x(t)$. Moreover the convergence speed of $\hat x(t)$ towards $x(t)$ can be chosen.
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Article dans une revue
Reviews in Fish Biology and Fisheries, Springer Verlag, 2009, 19 (3), pp.313-327. 〈10.1007/s11160-009-9104-7〉
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https://hal.inria.fr/inria-00595295
Contributeur : Abderrahman Iggidr <>
Soumis le : mardi 24 mai 2011 - 13:53:05
Dernière modification le : jeudi 30 août 2018 - 14:24:02
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Aboudramane Guiro, Abderrahman Iggidr, Diène Ngom, Hamidou Touré. On the stock estimation for some fishery systems. Reviews in Fish Biology and Fisheries, Springer Verlag, 2009, 19 (3), pp.313-327. 〈10.1007/s11160-009-9104-7〉. 〈inria-00595295〉

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