Fitting growth model parameters for rainbow trout

Abstract

The purpose of the presented work is to assess the adequacy and selection of optimal parameters of mathematical models of fish growth in application to forecasting the growth of aquaculture trout in closed water supply installations (CWSI). To perform the assessment and comparison, 8 nonlinear mathematical models of fish growth were considered. Tabular (parametric) models of feed for trout cultivation in the CWSI were taken as a standard, and on their basis the selection of optimal parameters was carried out, bringing each of the mathematical models closer to the standard one. The results were compared using an estimate of the standard error, the Akaike information criterion adjusted for a small sample size, and the Bayesian information criterion. As a result, the parameters providing the best approximation of the considered mathematical models of fish growth to the reference tabular function are obtained. As a result of the error estimation, it was found that the three-parameter von Bertalanfi model demonstrates the best accuracy. At the same time, other models (with the exception of exponential) have also demonstrated accuracy sufficient for practical use. The practical significance of the work is the conclusions on the adequacy of the use of nonlinear mathematical models for modeling trout growth in the CWSI, as well as the presented model parameters that provide the best approximation to the reference tabular function.