Theoretical basis for at-many-stations hydraulic geometry

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dc.contributor.author Gleason, C. J.
dc.contributor.author Wang, Jida
dc.date.accessioned 2016-04-04T22:46:16Z
dc.date.available 2016-04-04T22:46:16Z
dc.identifier.uri http://hdl.handle.net/2097/32313
dc.description Citation: Gleason, C. J., & Wang, J.(2015). Theoretical basis for at-many-stations hydraulic geometry. Geophysical Research Letters, 42(17), 7107-7114. doi:10.1002/2015gl064935
dc.description At-many-stations hydraulic geometry (AMHG) is a recently discovered set of geomorphic relationships showing that the empirical parameters of at-a-station hydraulic geometry (AHG) are functionally related along a river. This empirical conclusion seemingly refutes previous decades of research defining AHG as spatially independent and site specific. Furthermore, AMHG was the centerpiece of an unprecedented recent methodology that successfully estimated river discharge solely from satellite imagery. Despite these important implications, AMHG has remained an empirical phenomenon without theoretical explanation. Here we provide the mathematical basis for AMHG, showing that it arises when independent AHG curves within a reach intersect near the same values of discharge and width, depth, or velocity. The strength of observed AMHG is determined by the degree of this convergence. Finally, we show that AMHG enables discharge estimation by defining a set of possible estimated discharges that often match true discharges and propose its future interpretation as a fluvial index.
dc.relation.uri https://doi.org/10.1002/2015gl064935
dc.rights © 2015. American Geophysical Union
dc.rights.uri http://www.sherpa.ac.uk/romeo/issn/0094-8276/
dc.subject Hydrology
dc.subject At-many-station hydrologic geometry (AMHG)
dc.subject Remote Sensing
dc.title Theoretical basis for at-many-stations hydraulic geometry
dc.type Article
dc.date.published 2015
dc.citation.doi 10.1002/2015gl064935
dc.citation.epage 7114
dc.citation.issn 0094-8276
dc.citation.issue 17
dc.citation.jtitle Geophysical Research Letters
dc.citation.spage 7107
dc.citation.volume 42
dc.contributor.authoreid jidawang


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