## Abstract The water path from any point of a basin to the outlet through the self‐similar river network was considered. This hydraulic path was split into components within the Strahler ordering scheme. For the entire basin, we assumed the probability density functions of the lengths of these com
Comment on ‘C. Cudennec, Y. Fouad, I. Sumarjo Gatot and J. Duchesne, A geomorphological explanation of unit hydrograph concept. Hydrological Processes 18 (2004) 603–621’
✍ Scribed by C. Fleurant; P. Boulestreau
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 142 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0885-6087
- DOI
- 10.1002/hyp.5628
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✦ Synopsis
Cudennec et al. (2004)
propose an original theoretical GIUH model (Rodriguez-Iturbe and Valdès, 1979) following from a coupling of general symmetry assumptions and self-similarity of river networks. This model has the originality to involve two additional disciplines: statistical physics and fractal geometry. Their paper aims to derive theoretical expressions of probability density functions (p.d.f.s) of the river network's hydraulic lengths. Cudennec et al. (2004) clarify the p.d.f.s of hydraulic lengths in two major steps. First, by using the Strahler (1957) scheme, the authors can make an isotropy assumption on the reduced hydraulic lengths of a river network. This assumption leads to the p.d.f. of the hydraulic lengths l i [Equation ( 29) in Cudennec et al. (2004)]: p.d.f. l i D 1 p r i 1
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