scholarly journals Side Tributary Distribution of Quasi-Uniform Iterative Binary Tree Networks for River Networks

2022 ◽  
Vol 9 ◽  
Author(s):  
Keyi Wang ◽  
Li Zhang ◽  
Tiejian Li ◽  
Xiang Li ◽  
Biyun Guo ◽  
...  

Self-similarity and plane-filling are intrinsic structure properties of natural river networks. Statistical data indicates that most natural river networks are Tokunaga trees. Researchers have explored to use iterative binary tree networks (IBTNs) to simulate natural river networks. However, the characteristics of natural rivers such as Tokunaga self-similarity and plane-filling cannot be easily guaranteed by the configuration of the IBTN. In this paper, the generator series and a quasi-uniform iteration rule are specified for the generation of nonstochastic quasi-uniform iterative binary tree networks (QU-IBTNs). First, we demonstrate that QU-IBTNs definitely satisfy self-similarity. Second, we show that the constraint for a QU-IBTN to be a Tokunaga tree is that the exterior links must be replaced in the generator series with a neighboring generator that is larger than the interior links during the iterative process. Moreover, two natural river networks are examined to reveal the inherent consistency with QU-IBTN at low Horton-Strahler orders.

1986 ◽  
Vol 14 (3) ◽  
pp. 295-310 ◽  
Author(s):  
Maurice Tchuente
Keyword(s):  

2010 ◽  
Vol 139 (1) ◽  
pp. 62-71 ◽  
Author(s):  
Ken Yamamoto ◽  
Yoshihiro Yamazaki

2020 ◽  
Author(s):  
Minhui Li ◽  
Baosheng Wu ◽  
Yi Chen

<p><span><span lang="EN-US">Tibetan Plateau is the source of many major rivers in Asia. Drainage networks of these rivers vary in shapes and features due to complex climatic and geomorphic conditions. In this study, we extracted drainage networks in the source area of Yellow River, Yangtze River and Yarlung Zangbo River from 90-m-resolution SRTM DEM. We chose 62 sub-basins in the Yellow River, 96 sub-basins in the Yangtze River and 120 sub-basins in the Yarlung Zangbo River and tested self-similarity of drainage networks in two ways. First, we tested self-similarity for traditional Horton laws. Based on Horton-Strahler order, the results indicate that rivers with low levels generally obey Horton laws while rivers with high levels show deviation. Second, we tested statistical self-similarity in the topology of river networks. Random self-similar networks (RSN) model which combines self-similarity and randomness shows topological features of river networks statistically. Real networks were decomposed into generators that produce the network. The results demonstrate that the generators of RSN model obey a geometric distribution and the parameter p, which describes the distribution of generators, ranges from 0.401 to 0.587. Self-similarity holds in a statistical sense in the selected basins in the Tibetan Plateau. Motivated by the need to understand the controlling factors of drainage networks in Tibetan Plateau, these sub-basins were divided into groups according to possible controlling factors, such as climate, tectonic and geology. Analysis shows that Horton ratios and generators of low-level rivers are affected by precipitation, but the relationship between these parameters of high-level rivers and these factors is not obvious. In order to further explore the controlling factors, we analyzed three typical rivers (Tao River, Yalong River and Lasa River) in more details. For Yalong River, Tao River and Lasa River, bifurcation ratios are 4.46, 5.00 and 4.37 while the length ratios are 2.35, 2.71 and 2.30 respectively. The Normalized Concavity Index for Tao River, Lasa River and Yalong River are -0.129, -0.082 and 0.009</span> <span lang="EN-US">respectively, indicating that the profiles of the first two rivers are concave-up and that of Yalong River is convex-up. The influence of climate is well reflected in the structure and longitudinal profiles of the drainage network in the Tibetan Plateau. Strong tectonic activities in the eastern margin of the Tibetan Plateau destroy the network of Yalong River, resulting in river capture to maintain equilibrium.</span></span></p>


Fractals ◽  
2008 ◽  
Vol 16 (03) ◽  
pp. 227-233 ◽  
Author(s):  
MEGAN MCCONNELL ◽  
VIJAY K. GUPTA

The Horton laws of stream numbers and magnitudes are proved in the limit of large network order for the broad class of Tokunaga model of river networks. Tokunaga model is built on the assumption of mean self-similarity in the side tributary structure, and an additional assumption of Tokunaga self-similarity, which is supported by data from real networks. Tokunaga model is gaining increasing recognition in the recent literature, because data supports several predictions of the model.


IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 49080-49088 ◽  
Author(s):  
Yijing Liu ◽  
Pengyi Hao ◽  
Peng Zhang ◽  
Xinnan Xu ◽  
Jian Wu ◽  
...  

Author(s):  
Robert S. Yi ◽  
Álvaro Arredondo ◽  
Eric Stansifer ◽  
Hansjörg Seybold ◽  
Daniel H. Rothman

River network scaling laws describe how their shape varies with their size. However, the regional variation of this size-dependence remains poorly understood. Here we show that river network scaling laws vary systematically with the climatic aridity index. We find that arid basins do not change their proportions with size, while humid basins do. To explore why, we study an aspect ratio L ⊥ / L ∥ between basin width L ⊥ and basin length L ∥ . We find that the aspect ratio exhibits a dependence on climate and argue that this can be understood as a structural consequence of the confluence angle. We then find that, in humid basins, the aspect ratio decreases with basin size, which we attribute to a common hydrogeological hierarchy. Our results offer an explanation of the variability in network scaling exponents and suggest that the absence of self-similarity in humid basins can be understood as a morphological expression of subsurface processes.


Author(s):  
Ricardo Mantilla ◽  
Brent M. Troutman ◽  
Vijay K. Gupta

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