Balanced harvesting is the bioeconomic equilibrium of a size-structured Beverton-Holt model

Type of content
Journal Article
Thesis discipline
Degree name
Publisher
University of Canterbury. Mathematics and Statistics
Journal Title
Journal ISSN
Volume Title
Language
Date
2016
Authors
Plank, M.J.
Abstract

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.

Description
Citation
Plank, 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.
Keywords
gillnet fishing, Gordon-Schaefer model, Nash equilibrium, production, 30 size-selectivity, small-scale fisheries
Ngā upoko tukutuku/Māori subject headings
ANZSRC fields of research
Fields of Research::30 - Agricultural, veterinary and food sciences::3005 - Fisheries sciences::300505 - Fisheries management
Fields of Research::49 - Mathematical sciences::4901 - Applied mathematics::490102 - Biological mathematics
Fields of Research::38 - Economics::3801 - Applied economics::380101 - Agricultural economics
Rights