Toward a Global Horizontal and Vertical Elastic Load Deformation Model Derived from GRACE and GNSS Station Position Time Series

We model surface displacements induced by variations in continental water, atmospheric pressure, and nontidal oceanic loading, derived from the Gravity Recovery and Climate Experiment (GRACE) for spherical harmonic degrees two and higher. As they are not observable by GRACE, we use at first the degree‐1 spherical harmonic coefficients from Swenson et al. (2008, https://doi.org/10.1029/2007JB005338). We compare the predicted displacements with the position time series of 689 globally distributed continuous Global Navigation Satellite System (GNSS) stations. While GNSS vertical displacements are well explained by the model at a global scale, horizontal displacements are systematically underpredicted and out of phase with GNSS station position time series. We then reestimate the degree 1 deformation field from a comparison between our GRACE‐derived model, with no a priori degree 1 loads, and the GNSS observations. We show that this approach reconciles GRACE‐derived loading displacements and GNSS station position time series at a global scale, particularly in the horizontal components. Assuming that they reflect surface loading deformation only, our degree‐1 estimates can be translated into geocenter motion time series. We also address and assess the impact of systematic errors in GNSS station position time series at the Global Positioning System (GPS) draconitic period and its harmonics on the comparison between GNSS and GRACE‐derived annual displacements. Our results confirm that surface mass redistributions observed by GRACE, combined with an elastic spherical and layered Earth model, can be used to provide first‐order corrections for loading deformation observed in both horizontal and vertical components of GNSS station position time series.

[1]  Y. Bock,et al.  Observation and modeling of thermoelastic strain in Southern California Integrated GPS Network daily position time series , 2006 .

[2]  K Kaniuth,et al.  Estimating atmospheric pressure loading regression coefficients from GPS observations , 2006 .

[3]  W. Farrell Deformation of the Earth by surface loads , 1972 .

[4]  S. Desai,et al.  Constraints on mantle anelasticity from geodetic observations, and implications for the J2 anomaly , 2006 .

[5]  F. Sigmundsson,et al.  Icelandic rhythmics: Annual modulation of land elevation and plate spreading by snow load , 2006 .

[6]  Geoffrey Blewitt,et al.  GPS and Space-Based Geodetic Methods , 2007 .

[7]  C. Bassin,et al.  The Current Limits of resolution for surface wave tomography in North America , 2000 .

[8]  Urs Hugentobler,et al.  Identification and Mitigation of GNSS Errors , 2006 .

[9]  T. Dixon,et al.  Accelerating uplift in the North Atlantic region as an indicator of ice loss , 2010 .

[10]  Peter J. Clarke,et al.  Geocenter motions from GPS: A unified observation model , 2006 .

[11]  Byron D. Tapley,et al.  GRACE detects coseismic and postseismic deformation from the Sumatra‐Andaman earthquake , 2007 .

[12]  Paul Tregoning,et al.  Correction to “Atmospheric effects and spurious signals in GPS analyses” , 2011 .

[13]  D. L. Anderson,et al.  Preliminary reference earth model , 1981 .

[14]  Pedro Elosegui,et al.  Climate‐driven deformation of the solid Earth from GRACE and GPS , 2004 .

[15]  J. Ray,et al.  The IGS contribution to ITRF2014 , 2016, Journal of Geodesy.

[16]  G. Blewitt Self‐consistency in reference frames, geocenter definition, and surface loading of the solid Earth , 2003 .

[17]  Guillaume Ramillien,et al.  Detecting hydrologic deformation using GRACE and GPS , 2009 .

[18]  Xavier Collilieux,et al.  Hydrological deformation induced by the West African Monsoon: Comparison of GPS, GRACE and loading models , 2012 .

[19]  D. Chambers,et al.  Estimating Geocenter Variations from a Combination of GRACE and Ocean Model Output , 2008 .

[20]  Y. Bock,et al.  Anatomy of apparent seasonal variations from GPS‐derived site position time series , 2001 .

[21]  Z. Altamimi,et al.  ITRF2014: A new release of the International Terrestrial Reference Frame modeling nonlinear station motions , 2016 .

[22]  Rongjiang Wang,et al.  Investigation on afterslip and steady state and transient rheology based on postseismic deformation and geoid change caused by the Sumatra 2004 earthquake , 2011 .

[23]  K. Heki,et al.  Slow postseismic recovery of geoid depression formed by the 2004 Sumatra‐Andaman Earthquake by mantle water diffusion , 2007 .

[24]  J. Freymueller,et al.  Seasonal hydrological loading in southern Alaska observed by GPS and GRACE , 2012 .

[25]  J. Ray,et al.  Anomalous harmonics in the spectra of GPS position estimates , 2008 .

[26]  Paul Tregoning,et al.  Atmospheric effects and spurious signals in GPS analyses , 2009 .

[27]  M. Cheng,et al.  GGM02 – An improved Earth gravity field model from GRACE , 2005 .

[28]  Koji Matsuo,et al.  Time-variable ice loss in Asian high mountains from satellite gravimetry , 2010 .

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

[30]  Chris Rizos,et al.  The International GNSS Service in a changing landscape of Global Navigation Satellite Systems , 2009 .

[31]  J. Ray,et al.  Geocenter motion and its geodetic and geophysical implications , 2012 .

[32]  U. Hugentobler,et al.  Reducing the draconitic errors in GNSS geodetic products , 2014, Journal of Geodesy.

[33]  Chen Ji,et al.  Crustal Dilatation Observed by GRACE After the 2004 Sumatra-Andaman Earthquake , 2006, Science.

[34]  S. Bettadpur,et al.  Ensemble prediction and intercomparison analysis of GRACE time‐variable gravity field models , 2014 .

[35]  Chen Ji,et al.  Implications of postseismic gravity change following the great 2004 Sumatra-Andaman earthquake from the regional harmonic analysis of GRACE intersatellite tracking data , 2008 .

[36]  J. Genrich,et al.  Modeling deformation induced by seasonal variations of continental water in the Himalaya region: Sensitivity to Earth elastic structure , 2011 .

[37]  Florent Lyard,et al.  Modeling the barotropic response of the global ocean to atmospheric wind and pressure forcing ‐ comparisons with observations , 2003 .

[38]  Zuheir Altamimi,et al.  Strategies to mitigate aliasing of loading signals while estimating GPS frame parameters , 2011, Journal of Geodesy.

[39]  Geoffrey Blewitt,et al.  Crustal displacements due to continental water loading , 2001 .

[40]  G. Blewitt,et al.  A New Global Mode of Earth Deformation: Seasonal Cycle Detected , 2001, Science.

[41]  Alireza Amiri-Simkooei,et al.  On the nature of GPS draconitic year periodic pattern in multivariate position time series , 2013 .

[42]  F. Sigmundsson,et al.  Constraints on seasonal load variations and regional rigidity from continuous GPS measurements in Iceland, 1997–2014 , 2016 .

[43]  Jeffrey T. Freymueller,et al.  Seasonal and long-term vertical deformation in the Nepal Himalaya constrained by GPS and GRACE measurements , 2012 .

[44]  Harald Schuh,et al.  Tidal Love and Shida numbers estimated by geodetic VLBI , 2013, Journal of geodynamics.

[45]  J. Avouac,et al.  Constraints on Transient Viscoelastic Rheology of the Asthenosphere From Seasonal Deformation , 2018 .

[46]  J. Avouac,et al.  Seasonal variations of seismicity and geodetic strain in the Himalaya induced by surface hydrology as revealed from GPS monitoring, seismic monitoring and GRACE measurements , 2007 .

[47]  V. Tsai A model for seasonal changes in GPS positions and seismic wave speeds due to thermoelastic and hydrologic variations , 2011 .

[48]  P. Tregoning,et al.  Slow slip events in Mexico revised from the processing of 11 year GPS observations , 2010 .