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| Titel |
Quantitative analysis of randomness exhibited by river channels using chaos game technique: Mississippi, Amazon, Sava and Danube case studies |
| VerfasserIn |
G. Žibret, T. Verbovšek |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 16, no. 3 ; Nr. 16, no. 3 (2009-06-23), S.419-429 |
| Datensatznummer |
250013192
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| Publikation (Nr.) |
 copernicus.org/npg-16-419-2009.pdf |
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| Zusammenfassung |
| This paper presents a numerical evaluation of the randomness which can be
observed in the geometry of major river channels. The method used is based
upon that of generating a Sierpinski triangle via the chaos game technique,
played with the sequence representing the river topography. The property of
the Sierpinski triangle is that it can be constructed only by playing a
chaos game with random values. Periodic or chaotic sequences always produce
an incomplete triangle. The quantitative data about the scale of the random
behaviour of the river channel pathway was evaluated by determination of the
completeness of the triangle, generated on the basis of sequences
representing the river channel, and measured by its fractal dimension. The
results show that the most random behaviour is observed for the Danube River
when sampled every 715 m. By comparing the maximum dimension of the
obtained Sierpinski triangle with the gradient of the river we can see a
strong correlation between a higher gradient corresponding to lower random
behaviour. Another connection can be seen when comparing the length of the
segment where the river shows the most random flow with the total length of
the river. The shorter the river, the denser the sampling rate of
observations has to be in order to obtain a maximum degree of randomness.
From the comparison of natural rivers with the computer-generated pathways
the most similar results have been produced by a complex superposition of
different sine waves. By adding a small amount of noise to this function,
the fractal dimensions of the generated complex curves are the most similar
to the natural ones, but the general shape of the natural curve is more
similar to the generated complex one without the noise. |
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