Reconciling at‐a‐Station and at‐Many‐Stations Hydraulic Geometry Through River‐Wide Geomorphology

Abstract At‐many‐stations hydraulic geometry (AMHG), while useful for estimating river discharge from satellite data, remains empirical and has yet to be reconciled with the at‐a‐station hydraulic geometry (AHG) from which it was originally derived. Here we present evidence, using United States Geol...

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Main Authors: C. B. Brinkerhoff, C. J. Gleason, D. W. Ostendorf
Format: Article
Language:English
Published: Wiley 2019-08-01
Series:Geophysical Research Letters
Subjects:
Online Access:https://doi.org/10.1029/2019GL084529
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author C. B. Brinkerhoff
C. J. Gleason
D. W. Ostendorf
author_facet C. B. Brinkerhoff
C. J. Gleason
D. W. Ostendorf
author_sort C. B. Brinkerhoff
collection DOAJ
description Abstract At‐many‐stations hydraulic geometry (AMHG), while useful for estimating river discharge from satellite data, remains empirical and has yet to be reconciled with the at‐a‐station hydraulic geometry (AHG) from which it was originally derived. Here we present evidence, using United States Geological Survey field measurements of channel hydraulics for 155 rivers, that AMHG can be hydraulically and geomorphically reconciled with AHG. Our results indicate that AMHG is rightly understood as an expression of a river‐wide model of hydraulics driven by changes in slope imposed upon AHG physics. The explanatory power of AHG and this river‐wide model combine to determine whether AMHG exists: if both AHG and the river‐wide model adequately describe hydraulics, then we show that AMHG is a necessary mathematical consequence of these two phenomena. We also orient these findings in the context of river discharge estimation and other applications.
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institution OA Journals
issn 0094-8276
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publishDate 2019-08-01
publisher Wiley
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series Geophysical Research Letters
spelling doaj-art-2bd226f237974db3a0ca604dcd45fc6f2025-08-20T02:24:35ZengWileyGeophysical Research Letters0094-82761944-80072019-08-0146169637964710.1029/2019GL084529Reconciling at‐a‐Station and at‐Many‐Stations Hydraulic Geometry Through River‐Wide GeomorphologyC. B. Brinkerhoff0C. J. Gleason1D. W. Ostendorf2Department of Civil and Environmental Engineering University of Massachusetts Amherst MA USADepartment of Civil and Environmental Engineering University of Massachusetts Amherst MA USADepartment of Civil and Environmental Engineering University of Massachusetts Amherst MA USAAbstract At‐many‐stations hydraulic geometry (AMHG), while useful for estimating river discharge from satellite data, remains empirical and has yet to be reconciled with the at‐a‐station hydraulic geometry (AHG) from which it was originally derived. Here we present evidence, using United States Geological Survey field measurements of channel hydraulics for 155 rivers, that AMHG can be hydraulically and geomorphically reconciled with AHG. Our results indicate that AMHG is rightly understood as an expression of a river‐wide model of hydraulics driven by changes in slope imposed upon AHG physics. The explanatory power of AHG and this river‐wide model combine to determine whether AMHG exists: if both AHG and the river‐wide model adequately describe hydraulics, then we show that AMHG is a necessary mathematical consequence of these two phenomena. We also orient these findings in the context of river discharge estimation and other applications.https://doi.org/10.1029/2019GL084529AMHGhydraulic geometryfluvial geomorphologyhydrologyopen channel flowrivers
spellingShingle C. B. Brinkerhoff
C. J. Gleason
D. W. Ostendorf
Reconciling at‐a‐Station and at‐Many‐Stations Hydraulic Geometry Through River‐Wide Geomorphology
Geophysical Research Letters
AMHG
hydraulic geometry
fluvial geomorphology
hydrology
open channel flow
rivers
title Reconciling at‐a‐Station and at‐Many‐Stations Hydraulic Geometry Through River‐Wide Geomorphology
title_full Reconciling at‐a‐Station and at‐Many‐Stations Hydraulic Geometry Through River‐Wide Geomorphology
title_fullStr Reconciling at‐a‐Station and at‐Many‐Stations Hydraulic Geometry Through River‐Wide Geomorphology
title_full_unstemmed Reconciling at‐a‐Station and at‐Many‐Stations Hydraulic Geometry Through River‐Wide Geomorphology
title_short Reconciling at‐a‐Station and at‐Many‐Stations Hydraulic Geometry Through River‐Wide Geomorphology
title_sort reconciling at a station and at many stations hydraulic geometry through river wide geomorphology
topic AMHG
hydraulic geometry
fluvial geomorphology
hydrology
open channel flow
rivers
url https://doi.org/10.1029/2019GL084529
work_keys_str_mv AT cbbrinkerhoff reconcilingatastationandatmanystationshydraulicgeometrythroughriverwidegeomorphology
AT cjgleason reconcilingatastationandatmanystationshydraulicgeometrythroughriverwidegeomorphology
AT dwostendorf reconcilingatastationandatmanystationshydraulicgeometrythroughriverwidegeomorphology