Multifractal analysis of rainfalls in Korean peninsula

Abstract

Application of ideas from fractal and chaos theories to characterize rainfall is one of the most active and exciting areas of research. Many studies performed thus far have yielded evidence of the existence of fractal and chaos properties in rainfall. In this work, we present a singularity spectrum of a rainfall time series to provide strong evidence of multifractality. A curdling cascade process in a well-developed turbulence is presented as a candidate to describe the rainfall, and the analogy between the rainfall and turbulence is confirmed via the validity of the binomial multiplicative process for describing both systems.