{"title":"On Hyperbolic Gompertz Growth Model","authors":"Angela Unna Chukwu, Samuel Oluwafemi Oyamakin","country":null,"institution":"","volume":99,"journal":"International Journal of Environmental and Ecological Engineering","pagesStart":189,"pagesEnd":194,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10001343","abstract":"We proposed a Hyperbolic Gompertz Growth Model\r\n(HGGM), which was developed by introducing a shape parameter\r\n(allometric). This was achieved by convoluting hyperbolic sine\r\nfunction on the intrinsic rate of growth in the classical gompertz\r\ngrowth equation. The resulting integral solution obtained\r\ndeterministically was reprogrammed into a statistical model and used\r\nin modeling the height and diameter of Pines (Pinus caribaea). Its\r\nability in model prediction was compared with the classical gompertz\r\ngrowth model, an approach which mimicked the natural variability of\r\nheight\/diameter increment with respect to age and therefore provides\r\na more realistic height\/diameter predictions using goodness of fit\r\ntests and model selection criteria. The Kolmogorov Smirnov test and\r\nShapiro-Wilk test was also used to test the compliance of the error\r\nterm to normality assumptions while the independence of the error\r\nterm was confirmed using the runs test. The mean function of top\r\nheight\/Dbh over age using the two models under study predicted\r\nclosely the observed values of top height\/Dbh in the hyperbolic\r\ngompertz growth models better than the source model (classical\r\ngompertz growth model) while the results of R2, Adj. R2, MSE and\r\nAIC confirmed the predictive power of the Hyperbolic Gompertz\r\ngrowth models over its source model.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 99, 2015"}