Impact of Digital Elevation Models spatial resolution on scales law: An application to the Southern sub-watershed of the Litani river basin.
Keywords:DEM spatial resolution,, Hack's law,, fractal,, Relation Declinity Extension Index.
Hack law, also known as Stream Length-Gradient Index a power-law
relationship between watershed area and the mainstream length and its
connections with their fractal characteristics. The relation between Hack's
index and the internal structure of the southern sub-watershed of the Litani
river basin is investigated experimentally through multiscale digital elevation
models. In this paper, we tested the changes in values of Hack exponent,
mainstream fractal dimensions, and the relation declivity extension of the
Ouadi Es Slouki sub-watersheds at different spatial resolutions.The results
show an increase in fractal dimensions and Hack law values with the spatial
resolution in all sub-watersheds, it is found that Hack law and some relevant
fractal characters are closely related
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