Abstract
This study was conducted to compare the effectiveness for non-linear growth models designated as Chapman-Richards, Gompertz, Logistic and von Bertalanffy for selection of fast-growing fish strain of turbot Scophthalmus maximus. These models were compared using the goodness of fit (the coefficient of determination (R2) and the mean square error (MSE)) and the Akaike information criterion (AIC) and the growth characteristics of turbot from 3 to 27 months of age. The results in the present study showed that R2 was the highest in Chapman-Richards, but the lowest in von Bertalanffy model. The MSE and AIC values were the highest in Chapman-Richards followed by von Bertalanffy model, whereas Gompertz model is the lowest compared to other models. The Gompertz model had the lowest mean square error (6421.8706) and Akaike information criterion (65.1322) and the second highest coefficient of determination (0.9908) (almost equal to the first highest coefficient of determination), suggesting being the best fit model for description of turbot growth trajectories. Furthermore, the results of turbot growth characteristics explored by the Gompertz model revealed that the fast-growth time interval of turbot were (10.23, 26.78) (unit: months) and the fast-growth time interval distance was 16.55 months. The results of this study suggested that the Gompertz model could be the best fit model for description of turbot growth trajectories, whereas the deduced mathematical formulas of growth intervals could be used in determining the growth characteristics of other fish. Key words: Scophthalmus maximus, nonlinear models, comparison, growth characteristics.
Highlights
Turbot Scophthalmus maximus (L.) is a commercial flatfish inhabiting European waters (Ruan et al, 2011)
The results of this study suggested that the Gompertz model could be the best fit model for description of turbot growth trajectories, whereas the deduced mathematical formulas of growth intervals could be used in determining the growth characteristics of other fish
The results showed that all the compared models had R2 with a narrow range of 0.11, but the R2 values were the highest in Chapman-Richards and lowest in von Bertalanffy model compared to other models
Summary
Turbot Scophthalmus maximus (L.) is a commercial flatfish inhabiting European waters (Ruan et al, 2011) It was first introduced into China in 1992 (Ruan et al, 2011; Liang et al, 2012). The most important economic trait considered in an aquaculture breeding program has been growth rate which determine the total harvest yield (Wang et al, 2010). In this respect, the number of research has been carried out in turbot breeding for growth under the support of Chinese Government
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