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Issue 16, 2013
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Long-range memory patterns in variations of environmental radon in soil

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Abstract

This paper addresses issues of long-range memory and self-organisation in variations of radon in soil in Greece. The methods of rescaled-range, roughness-length, variogram, fractal dimension and block entropy were employed through lumping. Sliding was utilised with the wavelet spectral fractal technique. Antipersistent Hurst exponents in the range 0 < H < 0.5 were mainly identified. Persistent exponents (0.5 < H < 1) were also detected. Switching between persistency and antipersistency was observed and considered consistent with an underlying geo-environmental long-memory self-organisation. Fractal dimensions were in the range 1.2 < D < 2. The anomalous parts of the 2008 radon signal presented significantly lower fractal dimensions. Value ranges of Shannon, Shannon-per-letter, conditional, Tsallis and normalised Tsallis block entropies were 0.67 ≤ H(n) ≤ 2.73, 0.2 ≤ h(n) ≤ 0.7, 0.2 ≤ h(n) ≤ 0.6, 0.36 ≤ Sq ≤ 1.11, 0.50 ≤ Ŝq ≤ 9.55 respectively. The entropy values were affected by the block-size n. The entropic index values of the radon anomalies were significantly lower indicating long-memory underlying patterns. Underlying sources are discussed. The asperity-model is proposed.

Graphical abstract: Long-range memory patterns in variations of environmental radon in soil

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Article information


Submitted
02 Dec 2012
Accepted
23 Apr 2013
First published
23 Apr 2013

Anal. Methods, 2013,5, 4010-4020
Article type
Paper

Long-range memory patterns in variations of environmental radon in soil

E. Petraki, D. Nikolopoulos, A. Fotopoulos, D. Panagiotaras, C. Nomicos, P. Yannakopoulos, S. Kottou, A. Zisos, A. Louizi and J. Stonham, Anal. Methods, 2013, 5, 4010
DOI: 10.1039/C3AY26486F

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