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

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Latest update: 12 Jul 2025
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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.
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