<abstract xmlns="http://www.w3.org/1999/xhtml"><p> This paper proposed a hyperbolic monomolecular growth model (HMMGM). it came as a solution to the improved monomolecular growth equation which was developed by injecting an allometric parameter θ into the intrinsic rate of growth of the monomolecular growth equation using a hyperbolic sine function. Its ability in model prediction was compared with the classical monomolecular growth model an approach which mimicked the natural variability of height/diameter increment with respect to age and therefore provides a more realistic height/diameter predictions using goodness of fit tests and model selection criteria. The Kolmogorov Smirnov test and Shapiro-Wilk test was also used to test the compliance of the error term to normality assumptions while using testing the independence of the error term using the runs test . 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 monomolecular nonlinear growth models better than the source model (classical monomolecular growth model) while the results of R2, Adj. R2, MSE and AIC confirmed the predictive power of the Hyperbolic Monomolecular growth models over its source model.</p></abstract>

This paper proposed a hyperbolic monomolecular growth model (HMMGM). it came as a solution to the improved monomolecular growth equation which was developed by injecting an allometric parameter θ into the intrinsic rate of growth of the monomolecular growth equation using a hyperbolic sine function. Its ability in model prediction was compared with the classical monomolecular growth model an approach which mimicked the natural variability of height/diameter increment with respect to age and therefore provides a more realistic height/diameter predictions using goodness of fit tests and model selection criteria. The Kolmogorov Smirnov test and Shapiro-Wilk test was also used to test the compliance of the error term to normality assumptions while using testing the independence of the error term using the runs test . 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 monomolecular nonlinear growth models better than the source model (classical monomolecular growth model) while the results of R2, Adj. R2, MSE and AIC confirmed the predictive power of the Hyperbolic Monomolecular growth models over its source model.

On Hyperbolic Monomolecular growth model in Height/Diameter growth of PINES

Department of Statistics, University of Ibadan, Nigeria

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"On Hyperbolic Monomolecular growth model in Height/Diameter growth of PINES"}

This paper proposed a hyperbolic monomolecular growth model (HMMGM). it came as a solution to the improved monomolecular growth equation which was developed by...

On Hyperbolic Monomolecular growth model in Height/Diameter growth of PINES

Published Online: Jun 27, 2015

Page range: 5 - 17

DOI: https://doi.org/10.1515/jamsi-2015-0001

© Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.