On the Stock Estimation for a Harvested Fish Population

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Résumé

We consider a stage-structured model of a harvested fish population and we are interested in the problem of estimating the unknown stock state for each class. The model used in this work to describe the dynamical evolution of the population is a discrete time system including a nonlinear recruitment relationship. To estimate the stock state, we build an observer for the considered fish model. This observer is an auxiliary dynamical system that uses the catch data over each time interval and gives a dynamical estimate of the stock state for each stage class. The observer works well even if the recruitment function in the considered model is not well known. The same problem for an age-structured model has been addressed in a previous work [26].

Mots-clés

fish stock estimation, stage-structured population model, discrete-time population dynamics, state estimation, observer design, catch data, Observers, Estimation, Harvested Fish Population, Discrete-time systems, Stage structured population models