A Study over the Hyperbolic and Logarithmic Monomolecular, Logistic and Gompertz Growth Models

Abstract

In this study in addition to classical monomolecular, logistic and Gompertz models, their hyperbolic and logarithmic growth models were found. After that it is searched the effect of these hyperbolic and logarithmic growth models on the choice of appropriate growth model by using two separate data sets. For this purpose, classical monomolecular, logistic and Gompertz growth models and their hyperbolic and logarithmic growth models are compared with some model selection criteria such as coefficient of determination, error sum of squares. For two data sets it is found that the results of these hyperbolic and logarithmic growth models are better than the results of these growth models. Thus, it is considered that these hyperbolic and logarithmic growth models can be used in addition to these growth models. Even the results of these hyperbolic and logarithmic growth models were found the same for both data sets. In addition, some other hyperbolic and logarithmic growth models can be investigated for getting the best model choice.

Keywords

• Hyperbolic
• Logarithmic
• Growth Models
• Monomolecular
• Logistic
• Gompertz

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