On Optimal Harvesting in Age-Structured Populations

Anton Belyakov and Vladimir M. Veliov ()
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Vladimir M. Veliov: Vienna University of Technology

A chapter in Dynamic Perspectives on Managerial Decision Making, 2016, pp 149-166 from Springer

Abstract: 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.

Keywords: Discount Rate; Admissible Control; Vital Rate; Fishing Effort; Young Fish (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:dymchp:978-3-319-39120-5_9

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DOI: 10.1007/978-3-319-39120-5_9

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