Maximum Likelihood Estimation of Mixed Stock Fishery Composition

Russell B. Millar

doi:10.1139/f87-071

journal article Mar 01, 1987

Maximum Likelihood Estimation of Mixed Stock Fishery Composition

Russell B. Millar

Canadian Journal of Fisheries and Aquatic Sciences Vol. 44 No. 3 pp. 583-590 · Canadian Science Publishing

View at Publisher Save 10.1139/f87-071

Abstract

In this paper the maximum likelihood method of estimating stock composition is initially presented under the assumption that all of the sampled characteristics are of discrete type (electrophoretic, meristic). The extension to allow continuous data (morphometric) is seen to follow from just a slight change in notation. It is shown that the classification method with error correction is a special case of the maximum likelihood method. Results from finite mixture theory are used to show that, in practice, the method is well defined and that the maximum likelihood estimates of composition are unique and can always be found using the EM (expectation–maximization) algorithm. A comprehensive discussion of the reliability of the estimates is undertaken. An explicit nonparametric (infinitesimal jackknife) estimator of estimate variability is presented. Procedures to reduce variance and bias are discussed. The composition of a test mixed stock fishery is estimated and many of the techniques proposed in the reliability discussion are used.

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References

8

[1]

BEACHAM T. D. Fish. Aquat. Sci. (1985) 10.1139/f85-059

[2]

COOK R. Aquat. Sci. (1982) 10.1139/f82-086

[3]

COOK R. Fish. Bull. (1978)

[4]

Maximum Likelihood from Incomplete Data Via the EM Algorithm

A. P. Dempster, N. M. Laird, D. B. Rubin

Journal of the Royal Statistical Society Series B:... 1977 10.1111/j.2517-6161.1977.tb01600.x

[5]

FOURNIER D.A. Can. J. Fish. Aquat. Sci. (1984)

[6]

MILNER G . WA (1981)

[7]

L. Fish. Bull. U. (1979)

[8]

REDNEB R. A. Rev. (1984)

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166

Citations

8

References

Details

Published: Mar 01, 1987
Vol/Issue: 44(3)
Pages: 583-590
License: View

Authors

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Russell B. Millar

Cite This Article

Russell B. Millar (1987). Maximum Likelihood Estimation of Mixed Stock Fishery Composition. Canadian Journal of Fisheries and Aquatic Sciences, 44(3), 583-590. https://doi.org/10.1139/f87-071

Maximum Likelihood Estimation of Mixed Stock Fishery Composition

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