Optimal and feedback strategies for managing multicohort populations
type: Item
instance of: scholarly article
title: Optimal and feedback strategies for managing multicohort populations
zbMATH Open document ID: 0548.90018
DOI: 10.1007/BF00939155
published in: Journal of Optimization Theory and Applications
publication date: 1985-01-01T00:00:00Z
review text: A Beverton and Holt type linear cohort dynamics model [see \textit{R. J. Beverton} and \textit{S. J. Holt}, ''On the dynamics of exploited fish populations'', Ministry of Agriculture, Fisheries, and Food, London, England, Fisheries Investigation Series II, vol. 19 (1957)] is integrated and combined with a nonlinear stock-recruitment relationship to obtain a discrete-time multicohort harvesting model. Assuming that each age class is individually controllable, it is shown, subject to certain assumptions, that the optimal harvesting strategy is to derive the population to the maximum substainable yield solution in one time step. In most fisheries, this controllability assumption is not met and harvesting is agewise nonselective. In this case, it may be preferable to implement a harvesting policy based on suboptimal constant effort or stock level feedback strategies, rather than implement a more complicated optimal policy. This question is addressed through numerical studies on the management of the anchovy fishery.
Mathematics Subject Classification ID: 91B76
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 91A23
Mathematics Subject Classification ID: 91A80
zbMATH DE Number: 3874926
zbMATH Keywords: age-structured models
zbMATH Keywords: sustainable yields
zbMATH Keywords: feedback control
zbMATH Keywords: fisheries management
zbMATH Keywords: nonlinear stock-recruitment relationship
zbMATH Keywords: discrete-time multicohort harvesting model
zbMATH Keywords: optimal harvesting strategy
Wikidata QID: Q56796934
author: Wayne M. Getz
MaRDI profile type: Publication
cites work: Q4139908
cites work: Optimal escapement levels in stochastic and deterministic harvesting models
cites work: Optimal harvesting of structured populations
cites work: The ultimate-sustainable-yield problem in nonlinear age-structured populations
cites work: Optimum Age-Specific Harvesting in a Nonlinear Population Model
cites work: Optimal fishery policy for size-specific, density-dependent population models
cites work: Optimal harvesting strategies for stochastic single-species, multiage class models
cites work: Production models for nonlinear stochastic age-structured fisheries
cites work: Stability and optimal exploitation over an infinite time horizon of interacting populations
description: scientific article; zbMATH DE number 3874926