R. Edward Beighley


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Underlying Fundamentals of Kalman Filtering for River Network Modeling
C. M. Emery, Cédric H. David, Konstantinos M. Andreadis, M. Turmon, J. T. Reager, Jonathan Hobbs, Ming Pan, J. S. Famiglietti, R. Edward Beighley, Matthew Rodell
Journal of Hydrometeorology, Volume 21, Issue 3

Abstract The grand challenge of producing hydrometeorological estimates every time and everywhere has motivated the fusion of sparse observations with dense numerical models, with a particular interest on discharge in river modeling. Ensemble methods are largely preferred as they enable the estimation of error properties, but at the expense of computational load and generally with underestimations. These imperfect stochastic estimates motivate the use of correction methods, that is, error localization and inflation, although the physical justifications for their optimality are limited. The purpose of this study is to use one of the simplest forms of data assimilation when applied to river modeling and reveal the underlying mechanisms impacting its performance. Our framework based on assimilating daily averaged in situ discharge measurements to correct daily averaged runoff was tested over a 4-yr case study of two rivers in Texas. Results show that under optimal conditions of inflation and localization, discharge simulations are consistently improved such that the mean values of Nash–Sutcliffe efficiency are enhanced from −11.32 to 0.55 at observed gauges and from −12.24 to −1.10 at validation gauges. Yet, parameters controlling the inflation and the localization have a large impact on the performance. Further investigations of these sensitivities showed that optimal inflation occurs when compensating exactly for discrepancies in the magnitude of errors while optimal localization matches the distance traveled during one assimilation window. These results may be applicable to more advanced data assimilation methods as well as for larger applications motivated by upcoming river-observing satellite missions, such as NASA’s Surface Water and Ocean Topography mission.


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Hillslope Hydrology in Global Change Research and Earth System Modeling
Ying Fan, Martyn P. Clark, David M. Lawrence, Sean Swenson, Lawrence E. Band, Susan L. Brantley, P. D. Brooks, W. E. Dietrich, Alejandro N. Flores, Gordon E. Grant, James W. Kirchner, D. S. Mackay, Jeffrey J. McDonnell, P. C. D. Milly, Pamela L. Sullivan, Christina Tague, Hoori Ajami, Nathaniel W. Chaney, Andreas Hartmann, P. Hazenberg, J. P. McNamara, Jon D. Pelletier, J. Perket, Elham Rouholahnejad Freund, Thorsten Wagener, Xubin Zeng, R. Edward Beighley, J. R. Buzan, Maoyi Huang, Ben Livneh, Binayak P. Mohanty, Bart Nijssen, Mohammad Safeeq, Chaopeng Shen, Willem van Verseveld, John Volk, Dai Yamazaki
Water Resources Research, Volume 55, Issue 2

Earth System Models (ESMs) are essential tools for understanding and predicting global change, but they cannot explicitly resolve hillslope‐scale terrain structures that fundamentally organize water, energy, and biogeochemical stores and fluxes at subgrid scales. Here we bring together hydrologists, Critical Zone scientists, and ESM developers, to explore how hillslope structures may modulate ESM grid‐level water, energy, and biogeochemical fluxes. In contrast to the one‐dimensional (1‐D), 2‐ to 3‐m deep, and free‐draining soil hydrology in most ESM land models, we hypothesize that 3‐D, lateral ridge‐to‐valley flow through shallow and deep paths and insolation contrasts between sunny and shady slopes are the top two globally quantifiable organizers of water and energy (and vegetation) within an ESM grid cell. We hypothesize that these two processes are likely to impact ESM predictions where (and when) water and/or energy are limiting. We further hypothesize that, if implemented in ESM land models, these processes will increase simulated continental water storage and residence time, buffering terrestrial ecosystems against seasonal and interannual droughts. We explore efficient ways to capture these mechanisms in ESMs and identify critical knowledge gaps preventing us from scaling up hillslope to global processes. One such gap is our extremely limited knowledge of the subsurface, where water is stored (supporting vegetation) and released to stream baseflow (supporting aquatic ecosystems). We conclude with a set of organizing hypotheses and a call for global syntheses activities and model experiments to assess the impact of hillslope hydrology on global change predictions.