An entropy-based measure of hydrologic complexity and its applications
Name
An entropy-based measure.pdf
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2.06 MB
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Author(s)
Castelli, Fabio
Castillo, Aldrich Edra
Entekhabi, Dara
Date Issued
July 2015
Journal
Water Resources Research
Publisher
American Geophysical Union
Citation
Castillo, Aldrich, Fabio Castelli, and Dara Entekhabi. “An Entropy-Based Measure of Hydrologic Complexity and Its Applications.” Water Resources Research 51, 7 (July 2015): 5145–5160 © 2015 The Authors
Version
Final published version
Abstract
Basin response and hydrologic fluxes are functions of hydrologic states, most notably of soil moisture. However, characterization of hillslope-scale soil moisture is challenging since it is both spatially heterogeneous and dynamic. This paper introduces an entropy-based and discretization-invariant dimensionless index of hydrologic complexity math formula that measures the distance of a given distribution of soil moisture from a Dirac delta (most organization) and a uniform distribution (widest distribution). Applying the distributed hydrologic model MOBIDIC to seven test basins with areas ranging 10⁰−10³ km² and representing semiarid and temperate climates, math formula is shown to capture distributional characteristics of soil moisture fields. It can also track the temporal evolution of the distributional features. Furthermore, this paper explores how basin attributes affect the characteristic math formula, and how math formula can be used to explain interbasin variability in hydrologic response. Relationships are found only by grouping basins with the same climate or size. For the semiarid basins, math formula scales with catchment area, topographic wetness, infiltration ratio, and base flow index; while math formula is inversely related to relief ratio.
MIT Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
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DOI of Published Version
https://doi.org/10.1002/2014wr016035
