An explicit solution for calculating optimum spawning stock size from Ricker’s stock recruitment model
Stock-recruitment models have been used for decades in fisheries management as a means of formalizing the expected number of offspring that recruit to a fishery based on the number of parents. In particular, Ricker’s stock recruitment model is widely used due to its flexibility and ease with which t...
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| Format: | Article |
| Language: | English |
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PeerJ Inc.
2016-01-01
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| Series: | PeerJ |
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| Online Access: | https://peerj.com/articles/1623.pdf |
| _version_ | 1827606092633341952 |
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| author | Mark D. Scheuerell |
| author_facet | Mark D. Scheuerell |
| author_sort | Mark D. Scheuerell |
| collection | DOAJ |
| description | Stock-recruitment models have been used for decades in fisheries management as a means of formalizing the expected number of offspring that recruit to a fishery based on the number of parents. In particular, Ricker’s stock recruitment model is widely used due to its flexibility and ease with which the parameters can be estimated. After model fitting, the spawning stock size that produces the maximum sustainable yield (SMSY) to a fishery, 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 of Ricker’s model. |
| first_indexed | 2024-03-09T06:33:10Z |
| format | Article |
| id | doaj.art-9616652451a14f03926bdf104189108d |
| institution | Directory Open Access Journal |
| issn | 2167-8359 |
| language | English |
| last_indexed | 2024-03-09T06:33:10Z |
| publishDate | 2016-01-01 |
| publisher | PeerJ Inc. |
| record_format | Article |
| series | PeerJ |
| spelling | doaj.art-9616652451a14f03926bdf104189108d2023-12-03T11:02:45ZengPeerJ Inc.PeerJ2167-83592016-01-014e162310.7717/peerj.1623An explicit solution for calculating optimum spawning stock size from Ricker’s stock recruitment modelMark D. Scheuerell0Fish Ecology Division, Northwest Fisheries Science Center, National Marine Fisheries Service, National Oceanic and Atmospheric Administration, Seattle, WA, United StatesStock-recruitment models have been used for decades in fisheries management as a means of formalizing the expected number of offspring that recruit to a fishery based on the number of parents. In particular, Ricker’s stock recruitment model is widely used due to its flexibility and ease with which the parameters can be estimated. After model fitting, the spawning stock size that produces the maximum sustainable yield (SMSY) to a fishery, 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 of Ricker’s model.https://peerj.com/articles/1623.pdfRicker modelMaximum sustainable yieldMSYStock-recruitSpawnerHarvest |
| spellingShingle | Mark D. Scheuerell An explicit solution for calculating optimum spawning stock size from Ricker’s stock recruitment model PeerJ Ricker model Maximum sustainable yield MSY Stock-recruit Spawner Harvest |
| title | An explicit solution for calculating optimum spawning stock size from Ricker’s stock recruitment model |
| title_full | An explicit solution for calculating optimum spawning stock size from Ricker’s stock recruitment model |
| title_fullStr | An explicit solution for calculating optimum spawning stock size from Ricker’s stock recruitment model |
| title_full_unstemmed | An explicit solution for calculating optimum spawning stock size from Ricker’s stock recruitment model |
| title_short | An explicit solution for calculating optimum spawning stock size from Ricker’s stock recruitment model |
| title_sort | explicit solution for calculating optimum spawning stock size from ricker s stock recruitment model |
| topic | Ricker model Maximum sustainable yield MSY Stock-recruit Spawner Harvest |
| url | https://peerj.com/articles/1623.pdf |
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