Hydrology and Earth System Sciences
Hydrology and Earth System Sciences
HESS
Articles | Volume 28, issue 14
Articles | Volume 28, issue 14
https://doi.org/10.5194/hess-28-3119-2024
© Author(s) 2024. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/hess-28-3119-2024
© Author(s) 2024. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 28, issue 14
Research article
 | 
18 Jul 2024
Research article |  | 18 Jul 2024

Power law between the apparent drainage density and the pruning area

Soohyun Yang, Kwanghun Choi, and Kyungrock Paik

Viewed

Total article views: 2,446 (including HTML, PDF, and XML)
HTML PDF XML Total Supplement BibTeX EndNote
1,661 656 129 2,446 223 105 147
  • HTML: 1,661
  • PDF: 656
  • XML: 129
  • Total: 2,446
  • Supplement: 223
  • BibTeX: 105
  • EndNote: 147
Views and downloads (calculated since 23 Nov 2023)
Cumulative views and downloads (calculated since 23 Nov 2023)

Viewed (geographical distribution)

Total article views: 2,446 (including HTML, PDF, and XML) Thereof 2,425 with geography defined and 21 with unknown origin.
Country # Views %
  • 1
1
 
 
 
 

Cited

Saved (final revised paper)

Latest update: 03 Jun 2026
Download
Short summary
In extracting a river network from a digital elevation model, an arbitrary pruning area should be specified. As this value grows, the apparent drainage density is reduced following a power function. This reflects the fractal topographic nature. We prove this relationship related to the known power law in the exceedance probability distribution of drainage area. The power-law exponent is expressed with fractal dimensions. Our findings are supported by analysis of 14 real river networks.
Read more
Share