Articles | Volume 23, issue 2
Brief communication
06 Apr 2016
Brief communication |  | 06 Apr 2016

Brief communication: Possible explanation of the values of Hack's drainage basin, river length scaling exponent

Allen G. Hunt


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Short summary
Percolation theory can be used to find flow paths of least resistance. Applying percolation theory to drainage networks apparently allows identification of the range of exponent values describing the tortuosity of rivers in real networks, thus generating observed scaling between drainage basin area and channel length, a relationship known as Hack's law. Such a theoretical basis for Hack's law may allow interpretation of the range of exponent values based on assessment of substrate heterogeneity.