dorsal/arxiv
View SchemaMultifractality of river runoff and precipitation: Comparison of fluctuation analysis and wavelet methods
| Authors | Jan W. Kantelhardt, Diego Rybski, Stephan A. Zschiegner, Peter Braun, Eva Koscielny-Bunde, Valerie Livina, Shlomo Havlin, Armin Bunde |
|---|---|
| Categories | |
| ArXiv ID | physics/0305079 |
| URL | https://arxiv.org/abs/physics/0305079 |
| DOI | 10.1016/j.physa.2003.08.019 |
Abstract
We study the multifractal temporal scaling properties of river discharge and precipitation records. We compare the results for the multifractal detrended fluctuation analysis method with the results for the wavelet transform modulus maxima technique and obtain agreement within the error margins. In contrast to previous studies, we find non-universal behaviour: On long time scales, above a crossover time scale of several months, the runoff records are described by fluctuation exponents varying from river to river in a wide range. Similar variations are observed for the precipitation records which exhibit weaker, but still significant multifractality. For all runoff records the type of multifractality is consistent with a modified version of the binomial multifractal model, while several precipitation records seem to require different models.
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"abstract": "We study the multifractal temporal scaling properties of river discharge and\nprecipitation records. We compare the results for the multifractal detrended\nfluctuation analysis method with the results for the wavelet transform modulus\nmaxima technique and obtain agreement within the error margins. In contrast to\nprevious studies, we find non-universal behaviour: On long time scales, above a\ncrossover time scale of several months, the runoff records are described by\nfluctuation exponents varying from river to river in a wide range. Similar\nvariations are observed for the precipitation records which exhibit weaker, but\nstill significant multifractality. For all runoff records the type of\nmultifractality is consistent with a modified version of the binomial\nmultifractal model, while several precipitation records seem to require\ndifferent models.",
"arxiv_id": "physics/0305079",
"authors": [
"Jan W. Kantelhardt",
"Diego Rybski",
"Stephan A. Zschiegner",
"Peter Braun",
"Eva Koscielny-Bunde",
"Valerie Livina",
"Shlomo Havlin",
"Armin Bunde"
],
"categories": [
"physics.geo-ph",
"cond-mat.stat-mech",
"physics.data-an"
],
"doi": "10.1016/j.physa.2003.08.019",
"title": "Multifractality of river runoff and precipitation: Comparison of fluctuation analysis and wavelet methods",
"url": "https://arxiv.org/abs/physics/0305079"
},
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