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2018 ; 8
(1
): 10586
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A comparison of hydrological and topological watersheds
#MMPMID30002379
Burger B
; Andrade JS Jr
; Herrmann HJ
Sci Rep
2018[Jul]; 8
(1
): 10586
PMID30002379
show ga
We introduce the hydrological watershed, a watershed where water can penetrate
the soil, and compare it with the topological watershed for a two-dimensional
landscape. For this purpose, we measure the fractal dimension of the hydrological
watershed for different penetration depths and different grid sizes. Through
finite size scaling, we find that the fractal dimension is 1.31?±?0.02 which is
significantly higher than the fractal dimension of the topological watershed.
This indicates that the hydrological watershed belongs to a new universality
class. We also find that, as opposed to the topological watershed, the
hydrodynamic watershed can exhibit disconnected islands.