2021
DOI: 10.1016/j.isci.2021.102881
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Fluctuations of water quality time series in rivers follow superstatistics

Abstract: Fluctuations of detrended water quality time series follow q-Gaussian distributionsSuperstatistical long timescale is extracted from the detrended data New type of superstatistics observed, which is well fitted by mixture c 2 -distributions

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Cited by 17 publications
(12 citation statements)
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References 39 publications
(42 reference statements)
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“…The latter could be potentially resolved by considering a two-level cascade model, with the first level representing the animal walking trajectory (e.g., at the body midpoint), and the second level representing animal body part movements relative to the body midpoint. The above scenario can be represented by the so-called superstatistical models (Beck and Cohen, 2003 ; Beck et al, 2005 ) that have been recently applied in the context of various natural complex systems ranging from climate and weather to information flow dynamics, as well as DNA and protein structures (Bogachev et al, 2016 , 2017 ; Tamazian et al, 2016 ; Markelov et al, 2017 ; Itto and Beck, 2021 ; Schäfer et al, 2021 ).…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…The latter could be potentially resolved by considering a two-level cascade model, with the first level representing the animal walking trajectory (e.g., at the body midpoint), and the second level representing animal body part movements relative to the body midpoint. The above scenario can be represented by the so-called superstatistical models (Beck and Cohen, 2003 ; Beck et al, 2005 ) that have been recently applied in the context of various natural complex systems ranging from climate and weather to information flow dynamics, as well as DNA and protein structures (Bogachev et al, 2016 , 2017 ; Tamazian et al, 2016 ; Markelov et al, 2017 ; Itto and Beck, 2021 ; Schäfer et al, 2021 ).…”
Section: Resultsmentioning
confidence: 99%
“…The latter implies that partial correlations represent a more appropriate quantity for the reconstruction of the complex animal behavior patterns from multi-scale movement analysis data. Indeed, the most intuitive way to simulate the animal movement patterns would follow a somewhat hierarchical algorithm, starting with the reconstruction of the overall animal walking pattern on large scales, further complemented by specific gait characteristics at smaller scales, as it is commonly done in the framework of superstatistical models (Beck and Cohen, 2003 ; Beck et al, 2005 ; Bogachev et al, 2016 , 2017 ; Tamazian et al, 2016 ; Markelov et al, 2017 ; Itto and Beck, 2021 ; Schäfer et al, 2021 ). A somewhat similar approach could be potentially based on the multi-scale partial cross-correlation data, which contains essential information about the relative movement characteristics of the animal body parts, while remaining invariant to particular trajectories traveled by the animals during tests, due to the detrending features of the algorithm.…”
Section: Discussionmentioning
confidence: 99%
“…Several studies (Beck, 2004;Beck et al, 2005a;Beck et al, 2005b) have shown that the thermodynamic beta β = 1/σ 2 PDF often falls into three main classes: (i) χ 2 ; (ii) inverse-χ 2 ; (iii) log-normal. The justification for the classes is often scant and other PDF shapes are also observed (Rizzo et al, 2004;Yalcin and Beck, 2013;Schäfer et al, 2021).…”
Section: Method: Superstatisticsmentioning
confidence: 99%
“…Various factors can be influential in determining the flood zone, including parameters related to the morphology of the river. Among the parameters related to morphology affecting the bed bottom of rivers, the form of rivers in terms of alluvial and mountainous has a geostructural form that will be different according to each state of the river flood zone (Schäfer, 2021).…”
Section: Introductionmentioning
confidence: 99%