The Long-Range Memory and the Fractal Dimension: a Case Study for Alcântara
This study aimed to analyze the time series behavior of the Southern Oscillation Index through techniques using Fast Fourier Transform, computing the autocorrelation function, and the calculation of the Hurst coefficient. The methodology of Hurst Exponent calculation uses different lags, which are c...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Instituto de Aeronáutica e Espaço (IAE)
2017-10-01
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| Series: | Journal of Aerospace Technology and Management |
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| Online Access: | https://www.jatm.com.br/jatm/article/view/683 |
| _version_ | 1818096491438276608 |
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| author | Cleber Souza Corrêa Daniel Andrade Schuch Antonio Paulo De Queiroz Gilberto Fernando Fisch Felipe do Nascimento Corrêa Mariane Mendes Coutinho |
| author_facet | Cleber Souza Corrêa Daniel Andrade Schuch Antonio Paulo De Queiroz Gilberto Fernando Fisch Felipe do Nascimento Corrêa Mariane Mendes Coutinho |
| author_sort | Cleber Souza Corrêa |
| collection | DOAJ |
| description | This study aimed to analyze the time series behavior of the Southern Oscillation Index through techniques using Fast Fourier Transform, computing the autocorrelation function, and the calculation of the Hurst coefficient. The methodology of Hurst Exponent calculation uses different lags, which are computed in the time series of Southern Oscillation Index. The persistent behavior in the time series can be characterized by calculating the Hurst Exponent, seeking for more behavioral information, as the existence of persistence and/or terms of long-range memory in the series. The results show a persistence of the climate in terms of long-memory Southern Oscillation Index time series, which can help to understand a complex dynamic behavior in climate effects at global-scale level and specifically its influence in northeastern Brazil, in the region of the Alcântara Launch Center. The R package tseriesChaos was used in the analysis of the Southern Oscillation Index time series, estimating the largest Lyapunov exponent, which indicates the existence of chaotic behavior in time series. The resampling technique was used in a permutation test between the surface wind data in the São Luís airport, Maranhão State, and the Southern Oscillation Index. The permutation test results showed that the time series of monthly average wind speed in the São Luís airport is correlated with the variability of Southern Oscillation Index, statistically correlated to the confidence interval at the 5% level. The results showed the possibility of using autoregressive models to represent average variable meteorology in the behavior analysis as well as trends in the climate, more specifically a possible climatic influence of El Niño-Southern Oscillation in wind strength in the Alcântara Launch Center. |
| first_indexed | 2024-12-10T23:05:28Z |
| format | Article |
| id | doaj.art-de261f810a9e4bc391dacee2f7ffb290 |
| institution | Directory Open Access Journal |
| issn | 2175-9146 |
| language | English |
| last_indexed | 2024-12-10T23:05:28Z |
| publishDate | 2017-10-01 |
| publisher | Instituto de Aeronáutica e Espaço (IAE) |
| record_format | Article |
| series | Journal of Aerospace Technology and Management |
| spelling | doaj.art-de261f810a9e4bc391dacee2f7ffb2902022-12-22T01:30:04ZengInstituto de Aeronáutica e Espaço (IAE)Journal of Aerospace Technology and Management2175-91462017-10-0194The Long-Range Memory and the Fractal Dimension: a Case Study for AlcântaraCleber Souza Corrêa0Daniel Andrade SchuchAntonio Paulo De QueirozGilberto Fernando FischFelipe do Nascimento CorrêaMariane Mendes CoutinhoInstituto de Aeronautica e EspaçoThis study aimed to analyze the time series behavior of the Southern Oscillation Index through techniques using Fast Fourier Transform, computing the autocorrelation function, and the calculation of the Hurst coefficient. The methodology of Hurst Exponent calculation uses different lags, which are computed in the time series of Southern Oscillation Index. The persistent behavior in the time series can be characterized by calculating the Hurst Exponent, seeking for more behavioral information, as the existence of persistence and/or terms of long-range memory in the series. The results show a persistence of the climate in terms of long-memory Southern Oscillation Index time series, which can help to understand a complex dynamic behavior in climate effects at global-scale level and specifically its influence in northeastern Brazil, in the region of the Alcântara Launch Center. The R package tseriesChaos was used in the analysis of the Southern Oscillation Index time series, estimating the largest Lyapunov exponent, which indicates the existence of chaotic behavior in time series. The resampling technique was used in a permutation test between the surface wind data in the São Luís airport, Maranhão State, and the Southern Oscillation Index. The permutation test results showed that the time series of monthly average wind speed in the São Luís airport is correlated with the variability of Southern Oscillation Index, statistically correlated to the confidence interval at the 5% level. The results showed the possibility of using autoregressive models to represent average variable meteorology in the behavior analysis as well as trends in the climate, more specifically a possible climatic influence of El Niño-Southern Oscillation in wind strength in the Alcântara Launch Center.https://www.jatm.com.br/jatm/article/view/683Time-series analysisHurst exponentPermutation Test |
| spellingShingle | Cleber Souza Corrêa Daniel Andrade Schuch Antonio Paulo De Queiroz Gilberto Fernando Fisch Felipe do Nascimento Corrêa Mariane Mendes Coutinho The Long-Range Memory and the Fractal Dimension: a Case Study for Alcântara Journal of Aerospace Technology and Management Time-series analysis Hurst exponent Permutation Test |
| title | The Long-Range Memory and the Fractal Dimension: a Case Study for Alcântara |
| title_full | The Long-Range Memory and the Fractal Dimension: a Case Study for Alcântara |
| title_fullStr | The Long-Range Memory and the Fractal Dimension: a Case Study for Alcântara |
| title_full_unstemmed | The Long-Range Memory and the Fractal Dimension: a Case Study for Alcântara |
| title_short | The Long-Range Memory and the Fractal Dimension: a Case Study for Alcântara |
| title_sort | long range memory and the fractal dimension a case study for alcantara |
| topic | Time-series analysis Hurst exponent Permutation Test |
| url | https://www.jatm.com.br/jatm/article/view/683 |
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