An explicit solution for calculating optimum spawning stock size from Ricker's stock recruitment curve

  Northwest Fisheries Science Center, National Marine Fisheries Service, Seattle, Washington, United States
DOI
10.7287/peerj.preprints.1394v1
Published
Accepted
Subject Areas
Ecology, Mathematical Biology
Keywords
Ricker model, stock-recruit, maximum sustained yield
Copyright
© 2015 Scheuerell
Licence
This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, reproduction and adaptation in any medium and for any purpose provided that it is properly attributed. For attribution, the original author(s), title, publication source (PeerJ PrePrints) and either DOI or URL of the article must be cited.
Cite this article
Scheuerell MD. 2015. An explicit solution for calculating optimum spawning stock size from Ricker's stock recruitment curve. PeerJ PrePrints 3:e1394v1

Abstract

Ricker’s stock recruitment model is widely used to describe the spawner-offspring relationship for fishes. After model fitting, the spawning stock size that produces the maximum sustainable yield (SMSY), and the harvest corresponding to it (UMSY), are two of the most common biological reference points of interest to fisheries managers. However, to date there has been no explicit solution for either reference point because of the transcendental nature of the equation needed to solve for them. Therefore, numerical or statistical approximations have been used for more than 30 years. Here I provide explicit formulae for calculating both SMSY and UMSY in terms of the productivity and density-dependent parameters from Ricker’s model.

Author Comment

This is a preprint submission to PeerJ.