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On Optimal Harvesting in Age-Structured Populations

In: Dynamic Perspectives on Managerial Decision Making

Author

Listed:
  • Anton O. Belyakov

    (Lomonosov Moscow State University)

  • Vladimir M. Veliov

    (Vienna University of Technology)

Abstract

The problem of optimal harvesting (in a fish population as a benchmark) is stated within a model that takes into account the age-structure of the population. In contrast to models disregarding the age structure, it is shown that in case of selective harvesting mode (where only fish of certain sizes are harvested) the optimal harvesting effort may be periodic. It is also proved that the periodicity is caused by the selectivity of the harvesting. Mathematically, the model comprises an optimal control problem on infinite horizon for a McKendrick-type PDE with endogenous and non-local dynamics and boundary conditions.

Suggested Citation

  • Anton O. Belyakov & Vladimir M. Veliov, 2016. "On Optimal Harvesting in Age-Structured Populations," Dynamic Modeling and Econometrics in Economics and Finance, in: Herbert Dawid & Karl F. Doerner & Gustav Feichtinger & Peter M. Kort & Andrea Seidl (ed.), Dynamic Perspectives on Managerial Decision Making, pages 149-166, Springer.
    • Handle: RePEc:spr:dymchp:978-3-319-39120-5_9
    DOI: 10.1007/978-3-319-39120-5_9
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    Cited by:

    1. Emmanuelle Augeraud-Véron & Raouf Boucekkine & Vladimir Veliov, 2019. "Distributed Optimal Control Models in Environmental Economics: A Review," AMSE Working Papers 1902, Aix-Marseille School of Economics, France.

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