The Long-Range Memory and the Fractal Dimension: a Case Study for Alcântara

Corrêa, Cleber Souza; Schuch, Daniel; Queiroz, Antonio Paulo De; Fisch, Gilberto; Correa, Felipe do Nascimento; Coutinho, Mariane Mendes

doi:10.5028/jatm.v9i4.683

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Long-term Persistence and Fractal Dimension1

Empirical Series1

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2020

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Cited by 8 publications

(2 citation statements)

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“…In [86] different methods for calculating the fractal dimension are presented and applied to monthly precipitation time series in Australia, including the R/S method. In [87] the longterm persistence and fractal dimension of Southern Oscillation Index (SOI) were analyzed by means of the R/S method to calculate the Hurst exponent. The results showed that the considered SOI time series exhibit a chaotic behaviour, with a Hurst index H = 0.56, which indicates a small long-term persistence of the time series.…”

Section: Long-term Persistence and Fractal Dimensionmentioning

confidence: 99%

Persistence in complex systems

et al. 2022

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Section: Long-term Persistence and Fractal Dimensionmentioning

confidence: 99%

Persistence in complex systems

et al. 2022

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“…GHE for q = 1 GHE for q = We choose to use the standard method to estimate the Hurst exponent, based on the quotient R/S [34,37,[40][41][42][43]. An alternative method could be the so-called generalized Hurst exponent (GHE), defined from the function…”

Section: Empirical Seriesmentioning

confidence: 99%

Using the Hurst Exponent and Entropy Measures to Predict Effective Transmissibility in Empirical Series of Malaria Incidence

et al. 2022

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We analyze the empirical series of malaria incidence, using the concepts of autocorrelation, Hurst exponent and Shannon entropy with the aim of uncovering hidden variables in those series. From the simulations of an agent model for malaria spreading, we first derive models of the malaria incidence, the Hurst exponent and the entropy as functions of gametocytemia, measuring the infectious power of a mosquito to a human host. Second, upon estimating the values of three observables—incidence, Hurst exponent and entropy—from the data set of different malaria empirical series we predict a value of the gametocytemia for each observable. Finally, we show that the independent predictions show considerable consistency with only a few exceptions which are discussed in further detail.

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