Balanced harvesting is the bioeconomic equilibrium of a size-structured Beverton-Holt model (2016)
AuthorsPlank, M.J.show all
Balanced harvesting was introduced as an alternative strategy to size-at-entry fishing with the aim of maintaining ecosystem structure and functioning. Balanced harvesting has been criticised on a number of grounds, including that it would require an infeasible level of micromanagement and enforcement. Recent results from a size-spectrum model show that the distribution of fishing mortality across body sizes that emerges from the behaviour of a large number of fishing agents corresponds to balanced harvesting in a single species. Size-spectrum models dif18 fer from classical size-structured models used in fisheries as they are based on a bookkeeping of biomass transfer from prey to predator rather than a von Berta lanffy growth model. Here we investigate a classical Beverton-Holt model coupled with the Gordon-Schaefer harvesting model extended to allow for differential fishing pressure at different body sizes. This models an open-access fishery in which individual fishing agents act to maximise their own economic return. We show that the equilibrium of the harvesting model produces an aggregate fishing mortality that is closely matched to the production at different body sizes, in other words balanced harvesting of a single species. These results have significant implications because they show that the robustness of balanced harvesting does not depend on arguments about the relative production levels of small versus large fish.
CitationPlank, M.J. (2016) Balanced harvesting is the bioeconomic equilibrium of a size-structured Beverton-Holt model. ICES Journal of Marine Science, (early access online), pp. fsw161.
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Keywordsgillnet fishing; Gordon-Schaefer model; Nash equilibrium; production; 30 size-selectivity; small-scale fisheries
ANZSRC Fields of Research07 - Agricultural and Veterinary Sciences::0704 - Fisheries Sciences::070403 - Fisheries Management
01 - Mathematical Sciences::0102 - Applied Mathematics::010202 - Biological Mathematics
14 - Economics::1402 - Applied Economics::140201 - Agricultural Economics