An intercomparison of remote sensing river discharge estimation algorithms from measurements of river height, width, and slope

The Surface Water and Ocean Topography (SWOT) satellite mission planned for launch in 2020 will map river elevations and inundated area globally for rivers >100 m wide. In advance of this launch, we here evaluated the possibility of estimating discharge in ungauged rivers using synthetic, daily ‘‘remote sensing’’ measurements derived from hydraulic models corrupted with minimal observational errors. Five discharge algorithms were evaluated, as well as the median of the five, for 19 rivers spanning a range of hydraulic and geomorphic conditions. Reliance upon a priori information, and thus applicability to truly ungauged reaches, varied among algorithms: one algorithm employed only global limits on velocity and depth, while the other algorithms relied on globally available prior estimates of discharge. We found at least one algorithm able to estimate instantaneous discharge to within 35% relative root-mean-squared error (RRMSE) on 14/16 nonbraided rivers despite out-of-bank flows, multichannel planforms, and backwater effects. Moreover, we found RRMSE was often dominated by bias; the median standard deviation of relative residuals across the 16 nonbraided rivers was only 12.5%. SWOT discharge algorithm progress is therefore encouraging, yet future efforts should consider incorporating ancillary data or multialgorithm synergy to improve results.

[1]  Tamlin M. Pavelsky,et al.  Using width‐based rating curves from spatially discontinuous satellite imagery to monitor river discharge , 2014 .

[2]  Peter Bauer-Gottwein,et al.  River monitoring from satellite radar altimetry in the Zambezi River basin , 2012 .

[3]  C. Gleason,et al.  Toward global mapping of river discharge using satellite images and at-many-stations hydraulic geometry , 2014, Proceedings of the National Academy of Sciences.

[4]  Faisal Hossain,et al.  Advancing river modelling in ungauged basins using satellite remote sensing: the case of the Ganges–Brahmaputra–Meghna basin , 2016 .

[5]  S. Lawrence Dingman,et al.  Estimation of River Discharge , 2006 .

[6]  D. Dartus,et al.  Sensitivity Analysis and Predictive Uncertainty Using Inundation Observations for Parameter Estimation in Open-Channel Inverse Problem , 2008 .

[7]  Faisal Hossain,et al.  Spatiotemporal interpolation of discharge across a river network by using synthetic SWOT satellite data , 2015 .

[8]  Michael Durand,et al.  Estimating River Depth From Remote Sensing Swath Interferometry Measurements of River Height, Slope, and Width , 2010, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[9]  Colin J. Gleason,et al.  Crossing the (watershed) divide: satellite data and the changing politics of international river basins , 2017 .

[10]  P. Bates,et al.  Benchmarking 2D hydraulic models for urban flooding , 2008 .

[11]  Michel Poulin,et al.  Pluri-annual sediment budget in a navigated river system: the Seine River (France). , 2015, The Science of the total environment.

[12]  J. Neal,et al.  Estimating reach-averaged discharge for the River Severn from measurements of river water surface elevation and slope , 2014 .

[13]  T. Huntington Evidence for intensification of the global water cycle: Review and synthesis , 2006 .

[14]  K. J. Tinkler Avoiding Error When Using the Manning Equation , 1982, The Journal of Geology.

[15]  Vernon B. Sauer,et al.  Discharge Measurements at Gaging Stations , 2014 .

[16]  Hélène Roux,et al.  Use of parameter optimization to estimate a flood wave: Potential applications to remote sensing of rivers , 2006 .

[17]  Michael Durand,et al.  Assessing the potential global extent of SWOT river discharge observations , 2014 .

[18]  Paul D. Bates,et al.  Regional flood frequency analysis at the global scale , 2015 .

[19]  Mourad Heniche,et al.  A two-dimensional finite element drying-wetting shallow water model for rivers and estuaries , 2000 .

[20]  Charles J Vörösmarty,et al.  Global system of rivers: Its role in organizing continental land mass and defining land‐to‐ocean linkages , 2000 .

[21]  Chong-Yu Xu,et al.  Global water-balance modelling with WASMOD-M: Parameter estimation and regionalisation , 2007 .

[22]  Brett F. Sanders,et al.  Mesh type tradeoffs in 2D hydrodynamic modeling of flooding with a Godunov-based flow solver , 2014 .

[23]  N. Gouta,et al.  A finite volume solver for 1D shallow‐water equations applied to an actual river , 2002 .

[24]  Anny Cazenave,et al.  Ob' river discharge from TOPEX/Poseidon satellite altimetry (1992–2002) , 2004 .

[25]  Faisal Hossain,et al.  Inter-comparison study of water level estimates derived from hydrodynamic–hydrologic model and satellite altimetry for a complex deltaic environment , 2011 .

[26]  Sherry Chen,et al.  The Ohio River Community HEC-RAS Model , 2010 .

[27]  Michael Durand,et al.  Preliminary Characterization of SWOT Hydrology Error Budget and Global Capabilities , 2010, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[28]  Alain Mallet,et al.  KaRIn on SWOT: Characteristics of Near-Nadir Ka-Band Interferometric SAR Imagery , 2014, IEEE Transactions on Geoscience and Remote Sensing.

[29]  P. Bates,et al.  Reach scale floodplain inundation dynamics observed using airborne synthetic aperture radar imagery: Data analysis and modelling , 2006 .

[30]  Jida Wang,et al.  Theoretical basis for at‐many‐stations hydraulic geometry , 2015 .

[31]  P. A. M. Berry,et al.  River monitoring from satellite radar altimetry in the Zambezi River basin , 2012 .

[32]  P. Bates,et al.  Near real time satellite imagery to support and verify timely flood modelling , 2009 .

[33]  David M. Bjerklie,et al.  Estimating the bankfull velocity and discharge for rivers using remotely sensed river morphology information , 2007 .

[34]  Yeosang Yoon,et al.  Estimating river bathymetry from data assimilation of synthetic SWOT measurements , 2012 .

[35]  Faisal Hossain,et al.  Benchmarking wide swath altimetry‐based river discharge estimation algorithms for the Ganges river system , 2016 .

[36]  S. Lawrence Dingman,et al.  Comparison of constitutive flow resistance equations based on the Manning and Chezy equations applied to natural rivers , 2005 .

[37]  X. Lai,et al.  Assimilation of spatially distributed water levels into a shallow-water flood model. Part I: Mathematical method and test case , 2009 .

[38]  P. Bates,et al.  Amazon flood wave hydraulics , 2009 .

[39]  Paul D. Bates,et al.  Calibration of two‐dimensional floodplain modeling in the central Atchafalaya Basin Floodway System using SAR interferometry , 2012 .

[40]  T. Pavelsky,et al.  Estimation of river discharge, propagation speed, and hydraulic geometry from space: Lena River, Siberia , 2008 .

[41]  P. Bates,et al.  A simple inertial formulation of the shallow water equations for efficient two-dimensional flood inundation modelling. , 2010 .

[42]  C. Vörösmarty,et al.  Reconstructing 20 th century global hydrography : a contribution to the Global Terrestrial Network-Hydrology ( GTN-H ) , 2010 .

[43]  D. Lettenmaier,et al.  The SWOT Mission and Its Capabilities for Land Hydrology , 2016, Surveys in Geophysics.

[44]  Laurence C. Smith,et al.  Estimation of river depth from remotely sensed hydraulic relationships , 2013 .

[45]  R. Hostache,et al.  Assimilation of spatially distributed water levels into a shallow-water flood model. Part II: Use of a remote sensing image of Mosel River. , 2010 .

[46]  Hélène Roux,et al.  Parameter identification using optimization techniques in open-channel inverse problems , 2005 .

[47]  Russell G. Congalton,et al.  Evaluating the potential for measuring river discharge from space , 2003 .

[48]  N. Metropolis,et al.  Equation of State Calculations by Fast Computing Machines , 1953, Resonance.

[49]  L. B. Leopold,et al.  The hydraulic geometry of stream channels and some physiographic implications , 1953 .

[50]  J. Monnier,et al.  Inference of effective river properties from remotely sensed observations of water surface , 2015 .

[51]  P. Bates,et al.  Efficient incorporation of channel cross-section geometry uncertainty into regional and global scale flood inundation models , 2015 .

[52]  C. Gleason,et al.  Retrieval of river discharge solely from satellite imagery and at‐many‐stations hydraulic geometry: Sensitivity to river form and optimization parameters , 2014 .

[53]  Nigel W. Arnell,et al.  Simulating current global river runoff with a global hydrological model: model revisions, validation, and sensitivity analysis , 2011 .

[54]  L. Smith,et al.  Estimation of Discharge From Three Braided Rivers Using Synthetic Aperture Radar Satellite Imagery: Potential Application to Ungaged Basins , 1996 .

[55]  L. Smith Satellite remote sensing of river inundation area, stage, and discharge: a review , 1997 .

[56]  Delwyn Moller,et al.  Estimation of bathymetric depth and slope from data assimilation of swath altimetry into a hydrodynamic model , 2008 .

[57]  Charles J Vörösmarty,et al.  Simulating pan‐Arctic runoff with a macro‐scale terrestrial water balance model , 2002 .

[58]  J.H.Daluz Vieira Conditions governing the use of approximations for the Saint-Vénant equations for shallow surface water flow , 1983 .

[59]  Michael Durand,et al.  Assimilation of virtual wide swath altimetry to improve Arctic river modeling , 2011 .

[60]  Delwyn Moller,et al.  Estimating discharge in rivers using remotely sensed hydraulic information , 2005 .

[61]  Petra Döll,et al.  Value of river discharge data for global-scale hydrological modeling , 2007 .

[62]  D. Lettenmaier,et al.  Prospects for river discharge and depth estimation through assimilation of swath‐altimetry into a raster‐based hydrodynamics model , 2007 .

[63]  S. Kanae,et al.  Global Hydrological Cycles and World Water Resources , 2006, Science.

[64]  Yeosang Yoon,et al.  Improved error estimates of a discharge algorithm for remotely sensed river measurements: Test cases on Sacramento and Garonne Rivers , 2016 .

[65]  Taikan Oki,et al.  Assessment of Annual Runoff from Land Surface Models Using Total Runoff Integrating Pathways (TRIP) , 1999 .

[66]  Brett F. Sanders,et al.  Metric-Resolution 2D River Modeling at the Macroscale: Computational Methods and Applications in a Braided River , 2015, Front. Earth Sci..

[67]  Chris Kilsby,et al.  Using satellite altimetry data to augment flow estimation techniques on the Mekong River , 2010 .