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On the Stock Estimation for a Harvested Fish Population

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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 (Ngom et al., Math. Biosci. Eng. 5(2):337–354, 2008).

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Authors and Affiliations

  1. Laboratoire d’Analyse Mathématique des Equations (LAME), Faculté des Sciences et Techniques, Université de Ouagadougou, B.P. 7021, Ouagadougou, Burkina Faso

    Aboudramane Guiro

  2. EPI MASAIE, INRIA Nancy-Grand Est and University Paul Verlaine-Metz, LMAM-CNRS UMR 7122, ISGMP Bat. A, Ile du Saulcy, 57045, Metz Cedex 01, France

    Abderrahman Iggidr

  3. UFR des Sciences et Technologies, Université de Ziguinchor, B.P. 523, Ziguinchor, Sénégal

    Diène Ngom

  4. Laboratoire d’Analyse Numérique et d’Informatique, Université Gaston Berger, Saint Louis, Sénégal

    Diène Ngom

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  1. Aboudramane Guiro
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  2. Abderrahman Iggidr
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  3. Diène Ngom
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Correspondence to Diène Ngom.

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Guiro, A., Iggidr, A. & Ngom, D. On the Stock Estimation for a Harvested Fish Population. Bull Math Biol 74, 116–142 (2012). https://doi.org/10.1007/s11538-011-9667-z

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  • DOI: https://doi.org/10.1007/s11538-011-9667-z

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