On the Hyperbolic Exponential Growth Model in Height/Diameter Growth of PINES (Pinus caribaea)

摘要

This paper proposed a hyperbolic exponential nonlinear growth model. Introducing a hyperbolic sine function into the Malthusian growth equation developed this. The solution, which is now a three-parameter model, was used in the modeling of height/diameter growth of PINE. Its ability in model prediction was compared the source model i.e. Malthusian growth model, an approach which mimicked the natural variability of heights/diameter increment with respect to age and therefore provides a more realistic height/diameter predictions using the coefficient of determination (R²), Mean Absolute Error (MAE) and Mean Square Error (MSE) results. The Kolmogorov Smirnov test and Shapiro-Wilk test was also used to test the behavior of the error term for possible violations. The mean function of top height/Dbh over age using the two models under study predicted closely the observed values of top height/Dbh in the hyperbolic exponential nonlinear growth models better than the ordinary exponential growth model.