ABSTRACT | Generally the representation of IDF curves shows a linear relationship in a double logarithmic coordinate system. This assumes a relationship with heavy tail distributions of extreme precipitation. Then, the intensity of extreme precipitation follows a power law distribution. In fact, extreme rainfall has a scaling behavior. Thus, many authors used universal multifractal (MU) model to estimate IDF curves. Thy studied the link between the empirical models (such as the model of Montana), physically based models and statistical models namely GPD, GEV and the log-normal model. They estimated the IDF curves as a function of MU model parameters such as critical order of divergence of moment qD , the maximum observable singularity Î³s and the order of moment attached to this singularity qs. They even estimated these parameters without using the MU modeling. To test the relevance of the previously mentioned methods, we have been applied and compared results of mentioned methods to Tunis Manoubia station. |