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

Mark Opmeer

PLOS ONE, 2025, vol. 20, issue 9, 1-12

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.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0333087

DOI: 10.1371/journal.pone.0333087

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