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Scaling and universality in river flow dynamics

TLDR
In this paper, the authors investigate flow dynamics in rivers characterized by basin areas and daily mean discharge spanning different orders of magnitude and show that the delayed increments evaluated at time scales ranging from days to months can be rescaled to the same non-Gaussian probability density function.
Abstract
We investigate flow dynamics in rivers characterized by basin areas and daily mean discharge spanning different orders of magnitude. We show that the delayed increments evaluated at time scales ranging from days to months can be opportunely rescaled to the same non-Gaussian probability density function. Such a scaling breaks up above a certain critical horizon, where a behavior typical of thermodynamic systems at the critical point emerges. We finally show that both the scaling behavior and the break-up of the scaling are universal features of river flow dynamics. Copyright c EPLA, 2011

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Citations
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On the distributions of seasonal river flows: Lognormal or power law?

TL;DR: In this paper, the authors proposed to fit river flow data in three seasons: dry, wet and transitional, using two types of distributions, power law and lognormal. But they did not consider the seasonality of river flows.
Journal ArticleDOI

Characterization of river flow fluctuations via horizontal visibility graphs

TL;DR: In this paper, a large-scale characterization of river discharges by employing the network framework of the horizontal visibility graph is presented, where daily time series from 141 different stations of 53 Brazilian rivers are mapped into complex networks.
Journal ArticleDOI

Universality in the precipitation and river runoff

TL;DR: In this paper, the authors study the probability density function (PDF) of seasonally detrended records where the record is below a given threshold Q. When keeping the return period RQ of the threshold fixed, they find that the PDF of these durations shows universal features when scaled with the average duration τ.
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Analyses of geographical observations in the Heihe River Basin: Perspectives from complexity theory

TL;DR: In this article, the authors present a perspective from complexity theory to analyze the available data and data to be further collected in future, including a presentation of adaptive multiscale filter, which can readily determine arbitrary trends, maximally reduce noise, and reliably perform fractal and multifractal analysis, and the scale-dependent Lyapunov exponent (SDLE), which can reliably distinguish deterministic chaos from random processes, determine the error doubling time for prediction, and obtain the defining parameters of the process examined.
References
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Journal ArticleDOI

Mosaic organization of DNA nucleotides

TL;DR: This work analyzes two classes of controls consisting of patchy nucleotide sequences generated by different algorithms--one without and one with long-range power-law correlations, finding that both types of sequences are quantitatively distinguishable by an alternative fluctuation analysis method.
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Multifractal Detrended Fluctuation Analysis of Nonstationary Time Series

TL;DR: In this article, the authors developed a method for the multifractal characterization of nonstationary time series, which is based on a generalization of the detrended fluctuation analysis (DFA).
Journal ArticleDOI

A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number

TL;DR: Kolmogorov and Oboukhov as discussed by the authors investigated the local structure of turbulence at high Reynolds number, based on Richardson's idea of the existence in the turbulent flow of vortices on all possible scales.
Journal ArticleDOI

Scaling behaviour in the dynamics of an economic index

TL;DR: In this paper, it was shown that the scaling of the probability distribution of a particular economic index can be described by a non-gaussian process with dynamics that, for the central part of the distribution, correspond to that predicted for a Levy stable process.
Journal ArticleDOI

Some specific features of atmospheric tubulence

TL;DR: In this article, the authors introduce the notion of small-scale and large-scale turbulence, a set of disturbances, the scales of which do not exceed the distance to the wall and for which the hypothesis of three-dimensional isotropy is valid in a certain rough approximation.
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