Evaluate Non-Linear Model Logistic, Gompertz, and Weibull: Study Case on Calcium and phosphor Requirements of Laying Hen

Abstract

This study was to build and evaluate a non-linear model to describe the macro-mineral requirement of the laying hen. Using micro-mineral (Calcium, Total Phosphor, and Available Phosphor) requirements from 8 to 35 weeks, non-linear (Logistic, Gompertz, and Weibull) models were used to estimate patterns of 644 data from 23 laying hen breeds. Data collected from Hendrix Genetics and Lohmann Tierzucht. Data were converted to metabolism body weight (BW0.75) and transformed using min-max transformation. The non-linear model was run in R-base 3.6.0 using the build-in function nls and SS. The RMSE and MAE used to validate the model. The lowest value states that the model has high uniformity and consistency. The lowest RMSE value (0.0629) of the non-linear model of calcium requirement was Logistic, but the lowest MAE value (0.0401) was Weibull. The lowest RMSE and MAE values of the non-linear model of the total phosphor requirement were Weibull models with values of 0.0554 and 0.0424, respectively. The lowest RMSE and MAE values of the non-linear model of the available phosphor requirement were Weibull models with values of 0.0689 and 0.0568, respectively. Therefore, based on the RMSE and MAE, the macro-mineral can accurately be described by the Weibull model.