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Universidad de Córdoba (2019)

Aplicaciones hidrológicas del análisis multifractal de datos de precipitación

Medina Cobo, María Teresa

Titre : Aplicaciones hidrológicas del análisis multifractal de datos de precipitación

Hydrological applications of multifractal analysis of rainfall data

Auteur : Medina Cobo, María Teresa

Université de soutenance : Universidad de Córdoba

Grade : Doctoral Tesis 2019

Résumé
This phD thesis is focused in the multifractal analysis of rainfall data series for its use in hydrological purposes. Rainfall data sets from some locations of Spain and Chile have been used after applying some quality control methods in order to guarantee the final results. The document can be divides into two main parts. The first one shows how to form homogeneous rainfall regions by using the multifractal characterization of the validated rainfall data sets. Firstly, the turbulence formalism was applied to the daily rainfall data series from Malaga region (Spain) and Bibobio region (Chile), and the multifractal parameters were obtained. Afterwards, the generalized fractal dimension values were obtained for the Maule region (Chile) through the Strange Attractor multifractal method. The second part describes a methodology to determine the minimum inter-event time needed to separate rainfall events. The method is based on the combination of the multifractal results previously obtained for the hourly rainfall data sets in two locations (Malaga, in Spain, and Bullileo, in Chile) and the self-organized criticality behaviour of both data sets. The theoretical fundaments of all the theories applied are described in the document, along with the main characteristics of rainfall data used, all the results obtained for each application and the most relevant conclusions of this phD thesis.

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