Multifractality of Radon Concentration Fluctuation in Earthquake Related Signal

Ghosh, Dipak; Deb, Argha; Dutta, Srimonti; Sengupta, Ranjan; Samanta, Soumen

doi:10.1142/s0218348x1250003x

Cited by 30 publications

(17 citation statements)

References 22 publications

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“…The MF-DFA surpasses in quality and simplicity previous algorithms such as the multifractal box-counting (MF-BOX) (Feder, 1988) or the wavelet transform modulus maxima (WTMM) algorithms (Muzy et al, 1994). The MF-DFA has been applied in many scientific fields such as biology (Dutta, 2010), human health (Shimizu et al, 2002), seismology (Ghosh et al, 2012) or climatology (Feng et al, 2009;Burgueño et al, 2014;Mali, 2015). The steps for applying the MF-DFA can be summarized as follows:…”

Section: Multifractal Detrended Fluctuation Analysismentioning

confidence: 99%

Complexity and predictability of the monthly Western Mediterranean Oscillation index

Lana

Burgueño

Martínez

et al. 2015

Intl Journal of Climatology

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19The complexity, predictability and predictive instability of the Western Mediterranean 20 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 The contents of the paper include a description of the WeMOi, its cumulative distribution 72 (Section 2), monofractal properties (Section 3) and multifractal characteristics derived from 73 the multifractal detrended fluctuaction analysis, MF-DFA, which is also succinctly described 74 (Section 4). A comparison of the mono-and multifractal properties for the WeMO, NAO and 75 AMO indices, and the validity of fGn series to simulate the WeMOi are presented in Section 5. 76Section 6 introduces results derived from the ARIMA process and the Conclusions Section 77 outlines the main WeMOi fractal features and reviews the autoregressive prediction results. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 P e e r R e v i e w O n l y The monthly Western Mediterranean Oscillation index, WeMOi 82The WeMOi was proposed by Martín-Vide and López-Bustins (2006) to detect atmospheric 83 circulation patterns related to rainfall shortage or excess affecting the eastern Iberian 84Peninsula López-Bustins et al., 2008; Gonzalez-Hidalgo et al., 2009), 85 being also used in other regional climatic applications (Azorín-Molina and Lopez-Bustins, 2008; 86 Sánchez-Lorenzo et al., 2009;Vicente-Serrano et al., 2009;Ouachani et al., 2013; El Kenawy et 87 al., 2013;Beranová and Kyselý, 2015;Ríos-Cornejo et al., 2015). (Figure 1b), strongly suggests that this decreasing tendency could be mainly 107 linked to the behaviour of WeMOi at spring and summer seasons. The cumulative distribution 108 of WeMOi (Figure 2) is Gaussian, the observations being kept within the 95% confidence bands 109 derived from the Kolmogorov-Smirnov test (Benjamin and Cornell, 1970;Press et al., 1992). 110 Figure 3 represents WeMOi for several return periods, given in months, compared with 111 theoretic return values for a Gaussian distribution. Empiric values are also quite well described 112 by a logarithmic law, by taking as argument the return period (months). Taking into account 113 the symmetry of the Gaussian distribution, similar results would be obtained for negative 114 WeMOi. 115 116On the other hand, it is well known that the Mediterranean climate is submitted to the NAO 117 (Trigo et al., 2002;Lionello et al., 2006; López-Moreno et al., 2011) region, NAO plays a significant role on decadal variance in precipitation, especially...

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Section: Multifractal Detrended Fluctuation Analysismentioning

confidence: 99%

Complexity and predictability of the monthly Western Mediterranean Oscillation index

Lana

Burgueño

Martínez

et al. 2015

Intl Journal of Climatology

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“…It is significant to recognise areas in the signals with distinct changes of the scaling exponent b, since such changes are reported to emerge [10,11,16,17,27,43,44] before or during anomalies in the EM radiation either in the water aquifers or air [27,28]. Noteworthy variations of the concentration of radon and progeny have been observed in geothermal fields [29], thermal spas [30], active faults [31][32][33][34][35], soil experiments [36], volcanic processes [37,38] and seismotectonic environments [16,21,25,27,36,[39][40][41][42][43][44][45][46]. Due to its importance, radon monitoring is also a significant study area in the search of premonitory signals prior to earthquakes [25].…”

Section: Fractal Analysismentioning

confidence: 99%

“…It is very important that the bulk of the experiments reported in the gas related pre-seismic scientific literature have focused on radon [21]. According to [16,27,40,43,44,56,73] a radon anomaly acts as a precursor of a seismic event. Radon concentration may alter (increase or decrease) significantly before earthquakes in a manner that it cannot be attributed to the diurnal or meteorological variations [74].…”

Section: Seismicity Of the Investigated Time-period (2007-2015)-critementioning

confidence: 99%

Fractal Analysis of Pre-Seismic Electromagnetic and Radon Precursors: A Systematic Approach

Dimitrios¹,

Ermioni²,

HY³

et al. 2016

J Earth Sci Clim Change

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“…In particular, the multifractal detrended fluctuation analysis (MF-DFA) allows a reliable characterization of multifractal non-stationary and stationary time series (Kantelhardt et al, 2002). The MF-DFA has been applied in many scientific fields such as biology (Dutta, 2010), human health (Shimizu et al, 2002), seismology (Ghosh et al, 2012) or climatology (Feng et al, 2009;Burgueño et al, 2014;Lana et al, 2015;Mali, 2015). A detailed description of steps for applying the MF-DFA method can be found in the last two references.…”

Section: Introductionmentioning

confidence: 99%

Monthly rain amounts at Fabra Observatory (Barcelona, NE Spain): fractal structure, autoregressive processes and correlation with monthly Western Mediterranean Oscillation index

Lana

Burgueño

Martínez

et al. 2016

Intl Journal of Climatology

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Monthly rain amounts (MRA) recorded at Fabra Observatory (Barcelona, NE Spain) since 1917–2010, are analysed from two complementary points of view. First, mono- and multifractal characteristics of MRA are compared with those corresponding to the monthly Western Mediterranean Oscillation index (WeMOi), which affects the rainfall regime at the western Mediterranean region. Monofractality is analysed through Hurst and Hausdorff exponents, and a power law describing the dependence of MRA power spectra on frequency. The reconstruction theorem permits to quantify the complexity of the physical process by means of the correlation dimension and the Kolmogorov entropy. In agreement with this theorem, the predictive instability is also evaluated through the Lyapunov exponents. The multifractality is characterized by the critical Hölder exponent, as well as by the asymmetry and spectral width of the multifractal spectrum. Second, three predictive processes for MRA are tested. One of them is based on the assumption that MRA could be simulated by fractional Gaussian noise. The other two are, by one hand, an ARIMA(p,1,0) process for MRA; on the other hand, an adaptation of the ARIMA process for MRA taking as arguments preceding WeMOi. Finally, relationships between MRA and WeMOi confirm that outstanding MRA use to be coincident with negative WeMOi. An explanation is also proposed for the non-negligible number of MRA corresponding to positive WeMOi.Postprint (published version

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Multifractality of Radon Concentration Fluctuation in Earthquake Related Signal

Cited by 30 publications

References 22 publications

Complexity and predictability of the monthly Western Mediterranean Oscillation index

Complexity and predictability of the monthly Western Mediterranean Oscillation index

Fractal Analysis of Pre-Seismic Electromagnetic and Radon Precursors: A Systematic Approach

Monthly rain amounts at Fabra Observatory (Barcelona, NE Spain): fractal structure, autoregressive processes and correlation with monthly Western Mediterranean Oscillation index

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