On Hyperbolic Monomolecular Growth Model in Height/ Diameter Growth of PINES

摘要

This paper proposed a hyperbolic monomolecular growth model (HMMGM). The stabilizing parameter θ was introduced into the existing growth equations using a hyperbolic sine function given by . The reparametized equation namely, Hyperbolic Monomolecular Growth Equation, which was solved to obtain the proposed growth model. Residual errors were incorporated into the model additively and statistical tests of independence and normality of the error components was done. Pine data on height, Diameter and Age was used to test the comparative merits of the proposed model over its source model. The performance of the developed model based on data were tested in terms of general fitness and internal predictive status using model selection criteria like R-Square, Mean Square Error (MSE), and Akaike Information Criterion (AIC) among others.