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

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 scal...

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Main Authors: Sílvio Fernando Alves Xavier Júnior, Tatijana Stosic, Borko Stosic, Jader Da Silva Jale, Érika Fialho Morais Xavier
Format: Article
Language:English
Published: Universidade Estadual de Maringá 2018-07-01
Series:Acta Scientiarum: Technology
Subjects:
Online Access:http://periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/35116
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spelling doaj-3b05b3701ff44d06b24787a69666a8cf2020-11-25T00:45:56ZengUniversidade Estadual de MaringáActa Scientiarum: Technology1807-86642018-07-01401e35116e3511610.4025/actascitechnol.v40i1.3511618468<b>A Brief multifractal analysis of rainfall dynamics in Piracicaba, São Paulo, BrazilSílvio Fernando Alves Xavier Júnior0Tatijana Stosic1Borko Stosic2Jader Da Silva Jale3Érika Fialho Morais Xavier4Universidade Estadual da ParaíbaUniversidade Federal Rural de PernambucoUniversidade Federal Rural de PernambucoUniversidade Federal Rural de PernambucoUniversidade Federal Rural de PernambucoThe 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.http://periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/35116rainfallpower lawMF-DFA.
collection DOAJ
language English
format Article
sources DOAJ
author Sílvio Fernando Alves Xavier Júnior
Tatijana Stosic
Borko Stosic
Jader Da Silva Jale
Érika Fialho Morais Xavier
spellingShingle Sílvio Fernando Alves Xavier Júnior
Tatijana Stosic
Borko Stosic
Jader Da Silva Jale
Érika Fialho Morais Xavier
<b>A Brief multifractal analysis of rainfall dynamics in Piracicaba, São Paulo, Brazil
Acta Scientiarum: Technology
rainfall
power law
MF-DFA.
author_facet Sílvio Fernando Alves Xavier Júnior
Tatijana Stosic
Borko Stosic
Jader Da Silva Jale
Érika Fialho Morais Xavier
author_sort Sílvio Fernando Alves Xavier Júnior
title <b>A Brief multifractal analysis of rainfall dynamics in Piracicaba, São Paulo, Brazil
title_short <b>A Brief multifractal analysis of rainfall dynamics in Piracicaba, São Paulo, Brazil
title_full <b>A Brief multifractal analysis of rainfall dynamics in Piracicaba, São Paulo, Brazil
title_fullStr <b>A Brief multifractal analysis of rainfall dynamics in Piracicaba, São Paulo, Brazil
title_full_unstemmed <b>A Brief multifractal analysis of rainfall dynamics in Piracicaba, São Paulo, Brazil
title_sort <b>a brief multifractal analysis of rainfall dynamics in piracicaba, são paulo, brazil
publisher Universidade Estadual de Maringá
series Acta Scientiarum: Technology
issn 1807-8664
publishDate 2018-07-01
description 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.
topic rainfall
power law
MF-DFA.
url http://periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/35116
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