TY - JFULL
AU - Angela Unna Chukwu and Samuel Oluwafemi Oyamakin
PY - 2015/4/
TI - On Hyperbolic Gompertz Growth Model
T2 - International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering
SP - 188
EP - 193
EM - fm_oyamakin@yahoo.com
VL - 9
SN - 1307-6892
UR - http://waset.org/publications/10001343
PU - World Academy of Science, Engineering and Technology
NX - International Science Index 99, 2015
N2 - We proposed a Hyperbolic Gompertz Growth Model
(HGGM), which was developed by introducing a shape parameter
(allometric). This was achieved by convoluting hyperbolic sine
function on the intrinsic rate of growth in the classical gompertz
growth equation. The resulting integral solution obtained
deterministically was reprogrammed into a statistical model and used
in modeling the height and diameter of Pines (Pinus caribaea). Its
ability in model prediction was compared with the classical gompertz
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 the independence of the error
term was confirmed 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
gompertz growth models better than the source model (classical
gompertz growth model) while the results of R2, Adj. R2, MSE and
AIC confirmed the predictive power of the Hyperbolic Gompertz
growth models over its source model.
ER -