Published March 27, 2012 | Version 6725
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The Relations between the Fractal Properties of the River Networks and the River Flow Time Series

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All the geophysical phenomena including river networks and flow time series are fractal events inherently and fractal patterns can be investigated through their behaviors. A non-linear system like a river basin can well be analyzed by a non-linear measure such as the fractal analysis. A bilateral study is held on the fractal properties of the river network and the river flow time series. A moving window technique is utilized to scan the fractal properties of them. Results depict both events follow the same strategy regarding to the fractal properties. Both the river network and the time series fractal dimension tend to saturate in a distinct value.

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References

  • A. Eke, P. Hermann, L. Kocsis and L.R. Kozak. Fractal characterization of complexity in temporal physiological signals, Physiological Measurement 23 (2002) 1-38.
  • B. B. Mandelbrot. The Fractal Geometry of Nature, W H Freeman publication, New York, 1982.
  • P. Babinec, M. Ku─ìera and M. Babincov├í.Global Characterization of Time Series Using Fractal Dimension of Corresponding Recurrence Plots: From Dynamical Systems to Heart Physiology; Harmonic and Fractal Image Analysis (HarFA), 2005. - pp. 87 - 93.
  • S. S. Manna, B. Subramanian. A quasi-random spanning tree model for the early river network. Jan 29, 1996.
  • Rodriguez-Iturbe, I. and A. Rinaldo. Fractal River Basins, Chance and Self-Organization, Cambridge: Cambridge University Press, 1997.
  • A. Rinaldo, R. Rigon and I. Rodriguez-Iturbe (1994): Geomorphological width functions and random cascade. Geop. Res. Letters 21, 2123-2126.
  • Troutman, B. and Karlinger, M. 1998. Spatial channel network models in hydrology, In: Advanced Series in Statistical Sciences and Applied Probability, Vol. 7: Statistical Methods in Hydrology: Rainfall, Landforms and Floods, ed. O.
  • J. T. Hack, U.S. Geological Survey, Professional Paper 294-B (1957).
  • A. Rinaldo, I. Rodreguez-Iturbe, R. Rigon, R. Bras, E. Ijjasz-Vasquez, A. Marani. Minimum energy and fractal structures of drainage networks. Water Resources Research. 29 (10) (1993) Pp. 10. [10] H. E.Hurst. Long-term storage: An experimental study. London: Constable (1965). [11] J. Bassingwaighte, L. Liebovitch and B. West. Fractal physiology. Oxford University press. New York. 1994. [12] M.H. Fattahi, N. Talebydokhti, G.R. Rakhshandehroo, A. Shamsai and E. Nikooee. The robust fractal analysis of time series. Fractals Vol. 18, (2010), 1-21. [13] M.H. Fattahi, N. Talebydokhti, G.R. Rakhshandehroo, A. Shamsai and E. Nikooee. Fractal assessment of wavelet based techniques for improving the artificial neural network models. Journal of Food, Agriculture and Environment. Vol. 10 (2010), 132-137. [14] M.H. Fattahi, N. Talebydokhti, G.R. Rakhshandehroo, A. Shamsai and E. Nikooee. Fractal assessment of wavelet based preprocessing of river flow time series. Water Resources Engineering. Vol. 10, (2011), 1-10.