Evaluation of GRACE filter tools from a hydrological perspective

SUMMARY Approximately seven years of time-variable gravity data from the satellite mission Gravity Recovery and Climate Experiment (GRACE) are available to quantify present-day mass variations on and near the Earth's surface. Mass variations caused by the continental water cycle are the dominant signal component after subtracting contributions from atmosphere and oceans. This makes hydrology a primary area of application of GRACE data. To derive water storage variations at the scale of large river basins, appropriate filter techniques have to be applied to GRACE gravity fields given in a global spherical harmonic representation. A desirable filter technique minimises both GRACE data error and signal leakage across the border of the region of interest. This study evaluates the performance of six widely used filter methods (isotropic filters, anisotropic filters and decorrelation methods) and their parameter values to derive regionally averaged water mass variations from GRACE data. To this end, filtered time series from GRACE for 22 of the world's largest river basins were compared to continental water mass variations from a multimodel mean of three global hydrological models (WGHM, GLDAS and LaD). Filter-induced biases for seasonal amplitudes and phases of water storage variations, as well as satellite and leakage error budgets, were quantified for each river basin and explained in terms of storage variations in and around the basin. The optimum filter types and filter parameters were identified for each basin. The best results were provided by a decorrelation method that uses GRACE orbits for the filter design. Our ranking between all filter types and parameters depended on the geographical location, shape and signal characteristics of the specific river basin. Based on a multicriterial evaluation of satellite and leakage error, as well as an error assessment of the hydrological data, the filter selection and parameter optimisation results were shown to be reliable for 17 river basins. The results serve as a guideline for the optimal filtering of GRACE global spherical harmonic coefficients for hydrological applications.

[1]  Ki-Weon Seo,et al.  Optimized smoothing of Gravity Recovery and Climate Experiment (GRACE) time‐variable gravity observations , 2006 .

[2]  J. Kusche Approximate decorrelation and non-isotropic smoothing of time-variable GRACE-type gravity field models , 2007 .

[3]  Jeffrey P. Walker,et al.  THE GLOBAL LAND DATA ASSIMILATION SYSTEM , 2004 .

[4]  J. Wahr,et al.  Measurements of Time-Variable Gravity Show Mass Loss in Antarctica , 2006, Science.

[5]  C. Shum,et al.  Non-isotropic filtering of GRACE temporal gravity for geophysical signal enhancement , 2005 .

[6]  S. Swenson,et al.  Post‐processing removal of correlated errors in GRACE data , 2006 .

[7]  Hoshin Vijai Gupta,et al.  Do Nash values have value? , 2007 .

[8]  P. Milly,et al.  Global Modeling of Land Water and Energy Balances. Part II: Land-Characteristic Contributions to Spatial Variability , 2002 .

[9]  William H. Press,et al.  Numerical Recipes in FORTRAN - The Art of Scientific Computing, 2nd Edition , 1987 .

[10]  J. Kusche,et al.  Hydrological Signals Observed by the GRACE Satellites , 2008 .

[11]  Hubert H. G. Savenije,et al.  The bias in GRACE estimates of continental water storage variations , 2006 .

[12]  Matthew Rodell,et al.  Analysis of terrestrial water storage changes from GRACE and GLDAS , 2008 .

[13]  Ernst J. O. Schrama,et al.  Signal and noise in Gravity Recovery and Climate Experiment (GRACE) observed surface mass variations , 2007 .

[14]  R. Dietrich,et al.  Errors of regional mass variations inferred from GRACE monthly solutions , 2006 .

[15]  Andreas Güntner,et al.  Improvement of Global Hydrological Models Using GRACE Data , 2008 .

[16]  Maik Thomas,et al.  Simulation and observation of global ocean mass anomalies , 2007 .

[17]  J. D. Tarpley,et al.  Implementation of Noah land surface model advances in the National Centers for Environmental Prediction operational mesoscale Eta model , 2003 .

[18]  Jeffrey B. Basara,et al.  Estimating profile soil moisture and groundwater variations using GRACE and Oklahoma Mesonet soil moisture data , 2008 .

[19]  P. Milly,et al.  Global Modeling of Land Water and Energy Balances. Part I: The Land Dynamics (LaD) Model , 2002 .

[20]  J. Famiglietti,et al.  Terrestrial water mass load changes from Gravity Recovery and Climate Experiment (GRACE) , 2006 .

[21]  D. Chambers,et al.  GRACE observes small‐scale mass loss in Greenland , 2008 .

[22]  S. Swenson,et al.  Methods for inferring regional surface‐mass anomalies from Gravity Recovery and Climate Experiment (GRACE) measurements of time‐variable gravity , 2002 .

[23]  F. Bryan,et al.  Time variability of the Earth's gravity field: Hydrological and oceanic effects and their possible detection using GRACE , 1998 .

[24]  Guillaume Ramillien,et al.  Application of AVHRR imagery and GRACE measurements for calculation of actual evapotranspiration over the Quaternary aquifer (Lake Chad basin) and validation of groundwater models , 2008 .

[25]  Matthew Rodell,et al.  Attenuation effect on seasonal basin-scale water storage changes from GRACE time-variable gravity , 2007 .

[26]  M. Watkins,et al.  The gravity recovery and climate experiment: Mission overview and early results , 2004 .

[27]  John C. Ries,et al.  Effects of ice melting on GRACE observations of ocean mass trends , 2007 .

[28]  Bruno Merz,et al.  A global analysis of temporal and spatial variations in continental water storage , 2007 .

[29]  Benjamin F. Chao,et al.  On inversion for mass distribution from global (time-variable) gravity field , 2005 .

[30]  William H. Press,et al.  Book-Review - Numerical Recipes in Pascal - the Art of Scientific Computing , 1989 .

[31]  Jean-Charles Marty,et al.  Temporal gravity field models inferred from GRACE data , 2007 .

[32]  Cort J. Willmott,et al.  On the Evaluation of Model Performance in Physical Geography , 1984 .

[33]  M. Clark,et al.  A multimodel ensemble forecast framework: Application to spring seasonal flows in the Gunnison River Basin , 2006 .

[34]  P. Döll,et al.  A global hydrological model for deriving water availability indicators: model tuning and validation , 2003 .

[35]  Svetozar Petrovic,et al.  Periodic components of water storage changes from GRACE and global hydrology models: PERIODIC WATER STORAGE CHANGES AND GRACE , 2008 .

[36]  S. Swenson,et al.  A comparison of terrestrial water storage variations from GRACE with in situ measurements from Illinois , 2006 .

[37]  U. Meyer,et al.  An Earth gravity field model complete to degree and order 150 from GRACE: EIGEN-GRACE02S , 2005 .

[38]  C. Jekeli Alternative methods to smooth the Earth's gravity field , 1981 .

[39]  Zong-Liang Yang,et al.  Retrieving snow mass from GRACE terrestrial water storage change with a land surface model , 2007 .

[40]  Petra Döll,et al.  GRACE observations of changes in continental water storage , 2006 .

[41]  Reto Knutti,et al.  The use of the multi-model ensemble in probabilistic climate projections , 2007, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[42]  William H. Press,et al.  Numerical recipes in FORTRAN (2nd ed.): the art of scientific computing , 1992 .

[43]  A. Cazenave,et al.  Land water storage contribution to sea level from GRACE geoid data over 2003–2006 , 2008 .

[44]  J. Nash,et al.  River flow forecasting through conceptual models part I — A discussion of principles☆ , 1970 .

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

[46]  Frédéric Frappart,et al.  Time variations of land water storage from an inversion of 2 years of GRACE geoids , 2005 .

[47]  Byron D. Tapley,et al.  Antarctic regional ice loss rates from GRACE , 2008 .

[48]  Renate Hagedorn,et al.  The rationale behind the success of multi-model ensembles in seasonal forecasting — I. Basic concept , 2005 .