A Brief multifractal analysis of rainfall dynamics in Piracicaba, São Paulo, Brazil

Sílvio Fernando Alves Xavier Júnior, Tatijana Stosic, Borko Stosic, Jader Da Silva Jale, Érika Fialho Morais Xavier


The aim of this study was to evaluate the statistical properties of a daily rainfall time series recorded in Piracicaba river basin, state of Sao Paulo, Brazil in the period 1917-2016. We apply Multifractal Detrended Fluctuation Analysis (MF-DFA) on deseasonalized data and calculate generalized scaling exponents, h(q). We find that h(q) is a decreasing function of q, indicating multifractal behavior of precipitation dynamics. We also perform calculations on two subseries corresponding to the periods before and after 1970, where the second period is characterised by a significant increase of positive trend in rainfall intensity. We find no significant change in behaviour between these two subseries and the entire series, indicating that the dynamics of the underlying process did not change. Our results agree with previous studies on multifractal properties of rainfall time series in other regions of the world supporting the hypotheses of the existence of multiplicative cascade processes in the atmosphere.



rainfall; power law; MF-DFA.

Texto completo:

PDF (English) (baixado

DOI: http://dx.doi.org/10.4025/actascitechnol.v40i1.35116

Licença Creative Commons
Este obra está licenciado com uma Licença Creative Commons Atribuição 4.0 Internacional.

ISSN 1806-2563 (impresso) e ISSN 1807-8664 (on-line) e-mail: actatech@uem.br


Resultado de imagem para CC BY