dorsal/arxiv
View SchemaFractal Analysis of River Flow Fluctuations (with Erratum)
| Authors | M. Sadegh Movahed, Evalds Hermanis |
|---|---|
| Categories | |
| ArXiv ID | physics/0608056 |
| URL | https://arxiv.org/abs/physics/0608056 |
| DOI | 10.1016/j.physa.2007.10.007 |
| Journal | Physica A 387 (2008) 915-932 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We use some fractal analysis methods to study river flow fluctuations. The result of the Multifractal Detrended Fluctuation Analysis (MF-DFA) shows that there are two crossover timescales at $s_{1\times}\sim12$ and $s_{2\times}\sim130$ months in the fluctuation function. We discuss how the existence of the crossover timescales are related to a sinusoidal trend. The first crossover is due to the seasonal trend and the value of second ones is approximately equal to the well known cycle of sun activity. Using Fourier detrended fluctuation analysis, the sinusoidal trend is eliminated. The value of Hurst exponent of the runoff water of rivers without the sinusoidal trend shows a long range correlation behavior. For the Daugava river the value of Hurst exponent is $0.52\pm0.01$ and also we find that these fluctuations have multifractal nature. Comparing the MF-DFA results for the remaining data set of Daugava river to those for shuffled and surrogate series, we conclude that its multifractal nature is almost entirely due to the broadness of probability density function.
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"abstract": "We use some fractal analysis methods to study river flow fluctuations.\n The result of the Multifractal Detrended Fluctuation Analysis (MF-DFA) shows\nthat there are two crossover timescales at $s_{1\\times}\\sim12$ and\n$s_{2\\times}\\sim130$ months in the fluctuation function. We discuss how the\nexistence of the crossover timescales are related to a sinusoidal trend. The\nfirst crossover is due to the seasonal trend and the value of second ones is\napproximately equal to the well known cycle of sun activity. Using Fourier\ndetrended fluctuation analysis, the sinusoidal trend is eliminated. The value\nof Hurst exponent of the runoff water of rivers without the sinusoidal trend\nshows a long range correlation behavior. For the Daugava river the value of\nHurst exponent is $0.52\\pm0.01$ and also we find that these fluctuations have\nmultifractal nature. Comparing the MF-DFA results for the remaining data set of\nDaugava river to those for shuffled and surrogate series, we conclude that its\nmultifractal nature is almost entirely due to the broadness of probability\ndensity function.",
"arxiv_id": "physics/0608056",
"authors": [
"M. Sadegh Movahed",
"Evalds Hermanis"
],
"categories": [
"physics.data-an"
],
"doi": "10.1016/j.physa.2007.10.007",
"journal_ref": "Physica A 387 (2008) 915-932",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Fractal Analysis of River Flow Fluctuations (with Erratum)",
"url": "https://arxiv.org/abs/physics/0608056"
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