Journal article
Some explorations of the life history ratios to describe length composition, spawning-per-recruit, and the spawning potential ratio
ICES Journal of Marine Science, Vol.72(1), pp.204-216
2015
Abstract
Evaluating the status of data-poor fish stocks is often limited by incomplete knowledge of the basic life history parameters: the natural mortality rate (M), the von Bertalanffy growth parameters (L∞ and k), and the length at maturity (Lm). A common approach to estimate these individual parameters has been to use the Beverton–Holt life history invariants, the ratios M/k and Lm/L∞, especially for estimating M. In this study, we assumed no knowledge of the individual parameters, and explored how the information on life history strategy contained in these ratios can be applied to assessing data-poor stocks. We developed analytical models to develop a relationship between M/k and the von Bertalanffy growth curve, and demonstrate the link between the life history ratios and yield- and spawning-per-recruit. We further developed the previously recognized relationship between M/k and yield- and spawning-per-recruit by using information on Lm/L∞, knife-edge selectivity (Lc/L∞), and the ratio of fishing to natural mortality (F/M), to demonstrate the link between an exploited stock's expected length composition, and its spawning potential ratio (SPR), an internationally recognized measurement of stock status. Variation in length-at-age and logistic selectivity patterns were incorporated in the model to demonstrate how SPR can be calculated from the observed size composition of the catch; an advance which has potential as a cost-effective method for assessing data-poor stocks. A companion paper investigates the effects of deviations in the main assumptions of the model on the application of the analytical models developed in this study as a cost-effective method for stock assessment [Hordyk, A. R., Ono, K., Valencia, S., Loneragan, N. R., and Prince, J. D. this issue. A novel length based empirical estimation method of spawning potential ratio (SPR), and tests of its performance, for small-scale, data-poor fisheries.]
Details
- Title
- Some explorations of the life history ratios to describe length composition, spawning-per-recruit, and the spawning potential ratio
- Authors/Creators
- A. Hordyk (Author/Creator) - Murdoch UniversityK. Ono (Author/Creator) - University of WashingtonK. Sainsbury (Author/Creator) - University of TasmaniaN. Loneragan (Author/Creator) - Murdoch UniversityJ. Prince (Author/Creator) - Murdoch University
- Publication Details
- ICES Journal of Marine Science, Vol.72(1), pp.204-216
- Publisher
- Oxford University Press
- Identifiers
- 991005540551707891
- Copyright
- © International Council for the Exploration of the Sea 2014.
- Murdoch Affiliation
- Centre for Fish and Fisheries Research
- Language
- English
- Resource Type
- Journal article
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- Collaboration types
- Domestic collaboration
- International collaboration
- Citation topics
- 3 Agriculture, Environment & Ecology
- 3.2 Marine Biology
- 3.2.92 Fisheries Ecology
- Web Of Science research areas
- Fisheries
- Marine & Freshwater Biology
- Oceanography
- ESI research areas
- Plant & Animal Science