Mixture of time-dependent growth models with an application to blue swimmer crab length-frequency data

Lloyd-Jones, Luke R., Nguyen, Hien D., Mclachlan, Geoffrey J., Sumpton, Wayne and Wang, You-Gan (2016) Mixture of time-dependent growth models with an application to blue swimmer crab length-frequency data. Biometrics, . doi:10.1111/biom.12531


Author Lloyd-Jones, Luke R.
Nguyen, Hien D.
Mclachlan, Geoffrey J.
Sumpton, Wayne
Wang, You-Gan
Title Mixture of time-dependent growth models with an application to blue swimmer crab length-frequency data
Journal name Biometrics   Check publisher's open access policy
ISSN 1541-0420
0006-341X
Publication date 2016-04-28
Year available 2016
Sub-type Article (original research)
DOI 10.1111/biom.12531
Open Access Status Not Open Access
Total pages 11
Place of publication Chichester, West Sussex, United Kingdom
Publisher Wiley-Blackwell Publishing
Collection year 2017
Language eng
Formatted abstract
Understanding how aquatic species grow is fundamental in fisheries because stock assessment often relies on growth dependent statistical models. Length-frequency-based methods become important when more applicable data for growth model estimation are either not available or very expensive. In this article, we develop a new framework for growth estimation from length-frequency data using a generalized von Bertalanffy growth model (VBGM) framework that allows for time-dependent covariates to be incorporated. A finite mixture of normal distributions is used to model the length-frequency cohorts of each month with the means constrained to follow a VBGM. The variances of the finite mixture components are constrained to be a function of mean length, reducing the number of parameters and allowing for an estimate of the variance at any length. To optimize the likelihood, we use a minorization-maximization (MM) algorithm with a Nelder-Mead sub-step. This work was motivated by the decline in catches of the blue swimmer crab (BSC) (Portunus armatus) off the east coast of Queensland, Australia. We test the method with a simulation study and then apply it to the BSC fishery data.
Keyword Blue swimmer crab
Growth model estimation
Length-frequency data
Minorization-maximization algorithm
Mixture modeling
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
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Queensland Brain Institute Publications
 
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