Mixture of time-dependent growth models with an application to blue swimmer crab length-frequency data
Journal article
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. 72(4), pp. 1255-1265. https://doi.org/10.1111/biom.12531
Authors | Lloyd-Jones, Luke R., Nguyen, Hien D., McLachlan, Geoffrey J., Sumpton, Wayne and Wang, You-Gan |
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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. |
Keywords | blue swimmer crab; growth model estimation; length-frequency data; minorization–maximization algorithm; mixture modeling |
Year | 2016 |
Journal | Biometrics |
Biometrics | |
Journal citation | 72 (4), pp. 1255-1265 |
Publisher | Wiley-Blackwell Publishing Ltd. |
ISSN | 0006-341X |
Digital Object Identifier (DOI) | https://doi.org/10.1111/biom.12531 |
PubMed ID | 27123964 |
Scopus EID | 2-s2.0-84964620188 |
Page range | 1255-1265 |
Funder | Department of Agriculture and Fisheries, Queensland Government |
Australian Research Council (ARC) | |
Publisher's version | License All rights reserved File Access Level Controlled |
Output status | Published |
Publication dates | |
Online | 28 Apr 2016 |
Publication process dates | |
Accepted | 01 Mar 2016 |
Deposited | 06 Nov 2023 |
ARC Funded Research | This output has been funded, wholly or partially, under the Australian Research Council Act 2001 |
Grant ID | DP130100766 |
DP160104292 |
https://acuresearchbank.acu.edu.au/item/8zy50/mixture-of-time-dependent-growth-models-with-an-application-to-blue-swimmer-crab-length-frequency-data
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