Abstract
In order to analyse spatio-temporal variations of surface mass anomalies induced by hydrological mass redistributions at the Earth’s surface we use products from the Gravity Recovery and Climate Experiment (GRACE) satellite mission as well as global hydrological models. As a novelty we identify dominant periodic patterns that are not restricted to the fundamental annual frequency and its overtones, using a method that combines conventional Principal Components Analysis (PCA) with a determination of sine waves of arbitrary periods from the principal components. We assess the significance of the derived spectra taking into account correlated errors of the GRACE data by means of a Monte-Carlo technique. This allows us to create filtered GRACE time series including only the significant terms, which serve for basin-specific calibration of hydrological models with respect to the dominant periodic water storage variations.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Chambers DP, Wahr J, Nerem RS (2004) Preliminary observations of global ocean mass variations with GRACE. Geophys. Res. Lett. 31, L13310.
Döll P, Kaspar F, Lehner B (2003) A global hydrological model for deriving water availability indicators: Model tuning and validation. J. Hydrol. 270, 105–134.
Gundlich B, Koch K-R, Kusche J (2003) Gibbs sampler for computing and propagating large covariance matrices. J. Geod. 77(9), 514–528.
Güntner A, Stuck J, Werth S et al. (2007) A global analysis of temporal and spatial variations in continental water storage. Water Resour. Res. 43, W05416.
Horst R, Pardalos PM (eds.) (1995) Handbook of Global Optimization, Nonconvex Optimization and Its Applications, Vol. 2., Kluwer Academic Publishers, Dordrecht.
Huang J, van den Dool HM, Georgakakos PK (1996) Analysis of model-calculated soil moisture over the United States (1981–1993) and applications of long-range temperature forecasts. J. Clim. 9, 1350–1362.
Jekeli C (1981) Alternative methods to smooth the Earth’s gravity field. Tech Rep 327, Ohio State University.
Kalos MH, Whitlock PA (1988) Monte Carlo Methods, Wiley, New York.
Kusche J (2007) Approximate decorrelation and nonisotropic smoothing of time-variable GRACE-type gravity field models. J. Geod. 81(11), 733–749.
Kusche J, Schmidt R, Petrovic S, Rietbroek R (2009) Decorrelated GRACE time-variable gravity solutions by GFZ, and their validation using a hydrological model. J. Geod. 83(10), 903–913.
Mautz R, Petrovic S (2005) Erkennung von physikalisch vorhandenen Periodizitäten in Zeitreihen. ZFV (Zeitschrift f. Geodäsie, Geoinformation und Landmanagement) 130(3), 156–165.
Milly PCD, Shmakin AB (2002) Global modeling of land water and energy balances, Part I: The land dynamics (LaD) model. J. Hydrometeor. 3, 283–299.
Petrovic S, Schmidt R, Wünsch J et al. (2007) Towards a characterization of temporal gravity field variations in GRACE observations and global hydrology models. In: Proceedings of the 1st International Symposium of the Gravity Field Service “Gravity Field of the Earth”, Istanbul, J Mapping (ISSN 1300-5790) 73, Special Issue: 18, 199–204.
Preisendorfer RW (1988) Principal Component Analysis in Meteorology and Oceanography, Elsevier Science Publishers, Amsterdam.
Rodell M, Houser PR, Jambor U et al. (2004) The global land data assimilation system. Bull. Amer. Meteorol. Soc. 85(3), 381–394.
Schmidt R, Schwintzer P, Flechtner F et al. (2006) GRACE observations of changes in continental water storage. Glob. Planet Change 50(1–2), 112–126.
Schmidt R, Petrovic S, Güntner A et al. (2008) Periodic components of water storage changes from GRACE and global hydrological models. J. Geophys. Res. 113, B08419.
Tamisiea ME, Mitrovica JX, Davis JL (2007) GRACE gravity data constrain ancient ice geometries and continental dynamics over Laurentia. Science 316(5826), 881–883.
Velicogna I, Wahr J (2006) Acceleration of Greenland ice mass loss in Spring 2004. Nature 443, 329–331.
Wahr J, Molenaar M, Bryan F (1998) Time variability of the Earth’s gravity field: Hydrological and oceanic effects and their possible detection using GRACE. J. Geophys. Res. 103, 30205–30230.
Werth S, Güntner A, Petrovic S, Schmidt R (2009a) Integration of GRACE mass variations into a global hydrological model. Earth Planet Sci. Lett. 277(1–2), 166–173.
Werth S, Güntner A, Schmidt R, Kusche J (2009b) Evaluation of GRACE filter tools from a hydrological perspective. Geophys. J. Int., doi: 10.1111/j.1365-246X.2009.04355.x.
Wilks DS (1995) Statistical Methods in the Atmosphere Sciences: An Introduction, Academic Press, San Diego, CA.
Zeng N (1999) Seasonal cycle and interannual variability in the Amazon hydrologic cycle. J. Geophys. Res. 104(D8), 9097–9106.
Acknowledgments
The German Ministry of Education and Research (BMBF) supported these investigations within the geoscientific R+D programme GEOTECHNOLOGIEN “Erfassung des Systems Erde aus dem Weltraum” under grant 03F0424A. We thank P.C.D. Milly, Y. Fan and H. van den Dool, M. Rodell as well as P. Döll and J. Alcamo for providing the LaD, H96, GLDAS and WGHM model data, respectively. Thanks also go to D.W. Pierce for his Empirical Orthogonal Functions (EOF) software.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Petrovic, S., Braun, R., Barthelmes, F., Wünsch, J., Kusche, J., Hengst, R. (2010). Surface Mass Variability from GRACE and Hydrological Models : Characteristic Periods and the Reconstruction of Significant Signals . In: Flechtner, F., et al. System Earth via Geodetic-Geophysical Space Techniques. Advanced Technologies in Earth Sciences. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10228-8_32
Download citation
DOI: https://doi.org/10.1007/978-3-642-10228-8_32
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-10227-1
Online ISBN: 978-3-642-10228-8
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)