Improved estimation of size-transition matrices using tag-recapture data

Lloyd-Jones, Luke R., Nguyen, Hien D., Wang, You-Gan and O'Neill, Michael F. (2014) Improved estimation of size-transition matrices using tag-recapture data. Canadian Journal of Fisheries and Aquatic Sciences, 71 9: 1385-1394. doi:10.1139/cjfas-2014-0080


Author Lloyd-Jones, Luke R.
Nguyen, Hien D.
Wang, You-Gan
O'Neill, Michael F.
Title Improved estimation of size-transition matrices using tag-recapture data
Journal name Canadian Journal of Fisheries and Aquatic Sciences   Check publisher's open access policy
ISSN 1205-7533
0706-652X
Publication date 2014-09
Year available 2014
Sub-type Article (original research)
DOI 10.1139/cjfas-2014-0080
Open Access Status
Volume 71
Issue 9
Start page 1385
End page 1394
Total pages 10
Place of publication Ottawa, ON, Canada
Publisher N R C Research Press
Collection year 2015
Language eng
Formatted abstract
We derive a new method for determining size-transition matrices (STMs) that eliminates probabilities of negative growth and accounts for individual variability. STMs are an important part of size-structured models, which are used in the stock assessment of aquatic species. The elements of STMs represent the probability of growth from one size class to another, given a time step. The growth increment over this time step can be modelled with a variety of methods, but when a population construct is assumed for the underlying growth model, the resulting STM may contain entries that predict negative growth. To solve this problem, we use a maximum likelihood method that incorporates individual variability in the asymptotic length, relative age at tagging, and measurement error to obtain von Bertalanffy growth model parameter estimates. The statistical moments for the future length given an individual’s previous length measurement and time at liberty are then derived. We moment match the true conditional distributions with skewed-normal distributions and use these to accurately estimate the elements of the STMs. The method is investigated with simulated tag–recapture data and tag–recapture data gathered from the Australian eastern king prawn (Melicertus plebejus).
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2015 Collection
 
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