On the Stock Estimation for a Harvested Fish Population

Aboudramane Guiro 1 Abderrahman Iggidr 2, 3, * Diène Ngom 4, *
* Auteur correspondant
2 EDP - Equations aux dérivées partielles
IECL - Institut Élie Cartan de Lorraine
3 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 : 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].
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Bulletin of Mathematical Biology, Springer Verlag, 2012, 74 (1), pp.116-142. 〈10.1007/s11538-011-9667-z〉
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Aboudramane Guiro, Abderrahman Iggidr, Diène Ngom. On the Stock Estimation for a Harvested Fish Population. Bulletin of Mathematical Biology, Springer Verlag, 2012, 74 (1), pp.116-142. 〈10.1007/s11538-011-9667-z〉. 〈inria-00523963v2〉

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