Performance of the Weibull individual growth model for weight at age data
DOI:
https://doi.org/10.15517/cy079f12Keywords:
cumulative distribution function, age-weight relationship, model comparison, Weibull growth model, von Bertalanffy growth modelAbstract
Introduction: Knowledge of different functions associated with a probability distribution, as well as their properties, can be translated into functions that provide information about different characteristics of the growth process under study. Objectives: To analyze the relationship between individual growth models and the cumulative distribution functions of continuous random variables. Methods: We compare the flexibility and goodness of fit of the Weibull-type model against the von Bertalanffy weight growth model. We fit these two growth models into two very different sets of age-weight data taken from the literature; the first comprises 22 pairs of Pacific halibut mean weight at age, and the second 900 pairs of striped bass weight-age-data. Results: The Weibull-type growth model had greater flexibility and neglected less information available in the data sets than the von Bertalanffy model. Conclusions: The Weibull model, derived from cumulative probability distribution, is a good choice to fit weight-at-age data as it is more flexible than the commonly used von Bertalanffy model.
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