Climate Change and Temporal and Spatial Evolution of the Multifractal Universal Parameters in Ebro River Basin

Abstract

Multifractal techniques are applied to the study of rainfall daily time series over 14 stations from Ebro river Basin over the second half of XX century. The aim is to determine how climate change affects the evolution of the probability distribution of daily precipitation, through the values of universal multifractal parameters: C1; ; H y s for different periods of time. These will offer direct explanations of the shape of the distribution, especially about the extreme events: C1 is the mean intermittency codimension. When C1 increases the precipitation becoming less continuous and more sporadic in time. Therefore there is an increase of extremes. ; is a mesure of multifratility so an increase of it corresponds to a larger variation of the range of precipitation intensity, and thus also of extremes. H is the degree of non-conservation of the field, which measures the scale dependency of the average field. s; the maximal probable singularity that can be observed on a unique sample. It’s directly related to the ratio of the range and the mean of field. From the data collected, we perceive a decline in average rainfall, from 1980. But how is affected the global parameters in this situation?. Results vary according to different rainfall stations.