On the stock estimation for some fishery systems

On the stock estimation for some fishery systems 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reviews in Fish Biology and Fisheries Springer Journals

On the stock estimation for some fishery systems

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Publisher
Springer Netherlands
Copyright
Copyright © 2009 by Springer Science+Business Media B.V.
Subject
Life Sciences; Zoology ; Freshwater & Marine Ecology
ISSN
0960-3166
eISSN
1573-5184
D.O.I.
10.1007/s11160-009-9104-7
Publisher site
See Article on Publisher Site

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.

Journal

Reviews in Fish Biology and FisheriesSpringer Journals

Published: Feb 1, 2009

References

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