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Optimal harvesting of a continuously age-structured population with density dependence

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  • Mark Opmeer

Abstract

We consider harvesting of a population with continuous age-structure and where density dependence is implemented through interaction of the population with a food source. Using a Von Bertalanffy length-age relation, the continuous age-structure is equivalent to a continuous length-structure. We allow the harvesting rate to be an arbitrary function of length. This allows for a comparison of harvesting strategies, including conventional harvesting and balanced harvesting. As a particular example, we consider plaice (Pleuronectes platessa, Pleuronectidae). The harvesting rate which gives the maximum sustainable yield is consistent with conventional harvesting: there exists a body size such that individuals smaller than that size are not harvested and individuals larger than that size are maximally harvested.

Suggested Citation

  • Mark Opmeer, 2025. "Optimal harvesting of a continuously age-structured population with density dependence," PLOS ONE, Public Library of Science, vol. 20(9), pages 1-12, September.
  • Handle: RePEc:plo:pone00:0333087
    DOI: 10.1371/journal.pone.0333087
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