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Generalised growth models for aquatic species with an application to blacklip abalone (Haliotis rubra)

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  • Lloyd-Jones, Luke R.
  • Wang, You-Gan
  • Nash, Warwick J.

Abstract

This paper presents a maximum likelihood method for estimating growth parameters for an aquatic species that incorporates growth covariates, and takes into consideration multiple tag-recapture data. Individual variability in asymptotic length, age-at-tagging, and measurement error are also considered in the model structure. Using distribution theory, the log-likelihood function is derived under a generalised framework for the von Bertalanffy and Gompertz growth models. Due to the generality of the derivation, covariate effects can be included for both models with seasonality and tagging effects investigated. Method robustness is established via comparison with the Fabens, improved Fabens, James and a non-linear mixed-effects growth models, with the maximum likelihood method performing the best. The method is illustrated further with an application to blacklip abalone (Haliotis rubra) for which a strong growth-retarding tagging effect that persisted for several months was detected.

Suggested Citation

  • Lloyd-Jones, Luke R. & Wang, You-Gan & Nash, Warwick J., 2014. "Generalised growth models for aquatic species with an application to blacklip abalone (Haliotis rubra)," Ecological Modelling, Elsevier, vol. 272(C), pages 311-322.
    • Handle: RePEc:eee:ecomod:v:272:y:2014:i:c:p:311-322
    DOI: 10.1016/j.ecolmodel.2013.10.012
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    References listed on IDEAS

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    1. E. A. Catchpole & S. N. Freeman & B. J. T. Morgan & W. J. Nash, 2001. "Abalone I: Analyzing Mark-Recapture-Recovery Data Incorporating Growth and Delayed Recovery," Biometrics, The International Biometric Society, vol. 57(2), pages 469-477, June.
    2. You-Gan Wang, 1999. "Estimating Equations for Parameters in Stochastic Growth Models from Tag–Recapture Data," Biometrics, The International Biometric Society, vol. 55(3), pages 900-903, September.
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    Cited by:

    1. Cafarelli, Barbara & Calculli, Crescenza & Cocchi, Daniela & Pignotti, Elettra, 2017. "Hierarchical non-linear mixed-effects models for estimating growth parameters of western Mediterranean solitary coral populations," Ecological Modelling, Elsevier, vol. 346(C), pages 1-9.
    2. Luke R. Lloyd‐Jones & Hien D. Nguyen & Geoffrey J. McLachlan & Wayne Sumpton & You‐Gan Wang, 2016. "Mixture of time‐dependent growth models with an application to blue swimmer crab length‐frequency data," Biometrics, The International Biometric Society, vol. 72(4), pages 1255-1265, December.

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    1. Luke R. Lloyd‐Jones & Hien D. Nguyen & Geoffrey J. McLachlan & Wayne Sumpton & You‐Gan Wang, 2016. "Mixture of time‐dependent growth models with an application to blue swimmer crab length‐frequency data," Biometrics, The International Biometric Society, vol. 72(4), pages 1255-1265, December.
    2. You-Gan Wang, 2004. "Estimation of Growth Parameters from Multiple-Recapture Data," Biometrics, The International Biometric Society, vol. 60(3), pages 670-675, September.

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