相关论文

Spatiotemporal filtering using principal component analysis and Karhunen-Loeve expansion approaches for regional GPS network analysis

Abstract:[1] Spatial filtering is an effective way to improve the precision of coordinate time series for regional GPS networks by reducing so-called common mode errors, thereby providing better resolution for detecting weak or transient deformation signals. The commonly used approach to regional filtering assumes that the common mode error is spatially uniform, which is a good approximation for networks of hundreds of kilometers extent, but breaks down as the spatial extent increases. A more rigorous approach should remove the assumption of spatially uniform distribution and let the data themselves reveal the spatial distribution of the common mode error. The principal component analysis (PCA) and the Karhunen-Loeve expansion (KLE) both decompose network time series into a set of temporally varying modes and their spatial responses. Therefore they provide a mathematical framework to perform spatiotemporal filtering. We apply the combination of PCA and KLE to daily station coordinate time series of the Southern California Integrated GPS Network (SCIGN) for the period 2000 to 2004. We demonstrate that spatially and temporally correlated common mode errors are the dominant error source in daily GPS solutions. The spatial characteristics of the common mode errors are close to uniform for all east, north, and vertical components, which implies a very long wavelength source for the common mode errors, compared to the spatial extent of the GPS network in southern California. Furthermore, the common mode errors exhibit temporally nonrandom patterns.

参考文献

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

[2]  Yehuda Bock,et al.  Southern California permanent GPS geodetic array: Error analysis of daily position estimates and site velocities , 1997 .

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

[4]  T. van Dam,et al.  Displacements of the Earth's surface due to atmospheric loading: Effects on gravity and baseline measurements , 1987 .

[5]  Yehuda Bock,et al.  Satellite interferometric observations of displacements associated with seasonal groundwater in the Los Angeles basin , 2002 .

[6]  Jean-François Crétaux,et al.  Annual vertical crustal motions predicted from surface mass redistribution and observed by space geodesy , 2001 .

[7]  Michael B. Heflin,et al.  Interseismic strain accumulation and anthropogenic motion in metropolitan Los Angeles , 2005 .

[8]  J. B. Rundle,et al.  Using Eigenpattern Analysis to Constrain Seasonal Signals in Southern California , 2004 .

[9]  F. Pollitz,et al.  Mantle Flow Beneath a Continental Strike-Slip Fault: Postseismic Deformation After the 1999 Hector Mine Earthquake , 2001, Science.

[10]  Yehuda Bock,et al.  Error analysis of continuous GPS position time series , 2004 .

[11]  É. Calais,et al.  Continuous GPS measurements across the Western Alps, 1996–1998 , 1999 .

[12]  Timothy Ian Melbourne,et al.  Rapid postseismic transients in subduction zones from continuous GPS , 2002 .

[13]  Paul Segall,et al.  Network strain filter: A new tool for monitoring and detecting transient deformation signals in GPS arrays , 2004 .

[14]  Yehuda Bock,et al.  Instantaneous global plate motion model from 12 years of continuous GPS observations , 2004 .

[15]  Michael Bevis,et al.  Motion and rigidity of the Pacific Plate and implications for plate boundary deformation , 2002 .

[16]  Kelin Wang,et al.  A Silent Slip Event on the Deeper Cascadia Subduction Interface , 2001, Science.

[17]  L. Rivera,et al.  Coseismic Deformation from the 1999 Mw 7.1 Hector Mine, California, Earthquake as Inferred from InSAR and GPS Observations , 2002 .

[18]  Kenneth W. Hudnut,et al.  Detection of crustal deformation from the Landers earthquake sequence using continuous geodetic measurements , 1993, Nature.

[19]  H. Scherneck A parametrized solid earth tide model and ocean tide loading effects for global geodetic baseline measurements , 1991 .

[20]  Tim Melbourne,et al.  Periodic Slow Earthquakes from the Cascadia Subduction Zone , 2002, Science.

[21]  Timothy H. Dixon,et al.  REVEL: A model for Recent plate velocities from space geodesy , 2002 .

[22]  T. Dixon,et al.  Noise in GPS coordinate time series , 1999 .

[23]  Yehuda Bock,et al.  GPS measurements of current crustal movements along the Dead Sea Fault , 2004 .

[24]  Kenneth W. Hudnut,et al.  Crustal deformation measured in Southern California , 1997 .

[25]  Kosuke Heki,et al.  Crustal velocity field of southwest Japan: Subduction and arc‐arc collision , 2001 .

[26]  Jeffrey T. Freymueller,et al.  Global Plate Velocities from the Global Positioning System , 1997 .

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

[28]  J. Johansson,et al.  Continuous GPS measurements of postglacial adjustment in Fennoscandia 1. Geodetic results , 2002 .

[29]  H. Hornik,et al.  Towards an Integrated Global Geodetic Observing System (IGGOS) , 2000 .

[30]  Robert W. King,et al.  Estimating regional deformation from a combination of space and terrestrial geodetic data , 1998 .

[31]  J. Parker,et al.  Analysis and modeling of Southern California deformation , 2000 .

[32]  Herb Dragert,et al.  GPS‐determination of along‐strike variation in Cascadia margin kinematics: Implications for relative plate motion, subduction zone coupling, and permanent deformation , 2001 .

[33]  R. Nikolaidis Observation of geodetic and seismic deformation with the Global Positioning System , 2002 .

[34]  Yehuda Bock,et al.  Southern California permanent GPS geodetic array: Spatial filtering of daily positions for estimating coseismic and postseismic displacements induced by the 1992 Landers earthquake , 1997 .

[35]  Isao Naito,et al.  An impact of estimating tropospheric delay gradients on precise positioning in the summer using the Japanese nationwide GPS array , 2003 .

[36]  Kenneth W. Hudnut,et al.  Co-seismic displacements of the 1994 Northridge, California, earthquake , 1996, Bulletin of the Seismological Society of America.

[37]  Timothy Ian Melbourne,et al.  Precursory transient slip during the 2001 Mw = 8.4 Peru earthquake sequence from continuous GPS , 2002 .

[38]  William C. Hammond,et al.  Contemporary tectonic deformation of the Basin and Range province, western United States: 10 years of observation with the Global Positioning System , 2004 .

[39]  Keinosuke Fukunaga,et al.  Introduction to Statistical Pattern Recognition , 1972 .

[40]  J. C. Savage Principal component analysis of interseismic deformation in southern California , 1995 .

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

[42]  Geoffrey Blewitt,et al.  Evidence for Deep Magma Injection Beneath Lake Tahoe, Nevada-California , 2004, Science.

[43]  M. Heflin,et al.  Atmospheric pressure loading effects on Global Positioning System coordinate determinations , 1994 .

[44]  Michael B. Heflin,et al.  The effect of the second order GPS ionospheric correction on receiver positions , 2003 .

[45]  C. Demets,et al.  Crustal velocity field of Mexico from continuous GPS measurements, 1993 to June 2001: Implications for the neotectonics of Mexico , 2003 .

[46]  Kristy F. Tiampo,et al.  Linear pattern dynamics in nonlinear threshold systems , 2000 .

[47]  Christian Rocken,et al.  Calibration of antenna-radome and monument-multipath effect of GEONET—Part 2: Evaluation of the phase map by GEONET data , 2001 .

[48]  Walter H. F. Smith,et al.  New version of the generic mapping tools , 1995 .

[49]  Mike P. Stewart,et al.  Aliased tidal signatures in continuous GPS height time series , 2003 .

[50]  Paul Bodin,et al.  Using 1-Hz GPS Data to Measure Deformations Caused by the Denali Fault Earthquake , 2003, Science.

[51]  Gerald W. Bawden,et al.  Tectonic contraction across Los Angeles after removal of groundwater pumping effects , 2001, Nature.

[52]  Zuheir Altamimi,et al.  ITRF2000: A new release of the International Terrestrial Reference Frame for earth science applications , 2002 .

[53]  Yuri Fialko,et al.  Evidence of fluid-filled upper crust from observations of postseismic deformation due to the 1992 Mw7.3 Landers earthquake , 2004 .

[54]  Fred F. Pollitz,et al.  Mobility of continental mantle: Evidence from postseismic geodetic observations following the 1992 Landers earthquake , 2000 .

[55]  J. C. Savage Principal Component Analysis of Geodetically Measured Deformation in Long Valley Caldera, Eastern California, 1983–1987 , 1988 .

[56]  J Johansson Continuous GPS measurement of postglacial adjustment in Fennoscandia, 1. , 2002 .

[57]  Kenneth W. Hudnut,et al.  Continuous GPS Observations of Postseismic Deformation Following the 16 October 1999 Hector Mine, California, Earthquake (Mw 7.1) , 2002 .

[58]  Yehuda Bock,et al.  Detection of arbitrarily large dynamic ground motions with a dense high‐rate GPS network , 2004 .

[59]  T. P. Yunck,et al.  Origin of the International Terrestrial Reference Frame , 2003 .

[60]  Timothy H. Dixon,et al.  Refined kinematics of the Eastern California shear zone from GPS observations, 1993-1998 , 2001 .

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

[62]  W. Menke Geophysical data analysis : discrete inverse theory , 1984 .

[63]  Jan M. Johansson,et al.  BIFROST Project: Studies of Variations of Absolute Sea Level in Conjunction with the Postglacial Rebound of Fennoscandia , 2000 .

[64]  R. Preisendorfer,et al.  Principal Component Analysis in Meteorology and Oceanography , 1988 .

引用
Near real‐time monitoring of volcanic surface deformation from GPS measurements at Long Valley Caldera, California
2013
Parkfield earthquake: Stress-driven creep on a fault with spatially variable rate-and-state friction parameters
2009
Impacts of Local Effects and Surface Loads on the Common Mode Error Filtering in Continuous GPS Measurements in the Northwest of Yunnan Province, China
Sensors
2020
Creep and locking of a low‐angle normal fault: Insights from the Altotiberina fault in the Northern Apennines (Italy)
2016
Vertical GPS ground motion rates in the Euro‐Mediterranean region: New evidence of velocity gradients at different spatial scales along the Nubia‐Eurasia plate boundary
2013
A Combined Velocity Field of the Mediterranean Region
2017
Statistical Approaches to Detecting Transient Signals in GPS: Results from the 2009–2011 Transient Detection Exercise
2013
Detecting transient signals in geodetic time series using sparse estimation techniques
2014
Boundary-Included Enhanced Water Storage Changes Inferred by GPS in the Pacific Rim of the Western United States
Remote. Sens.
2020
Extracting the regional common‐mode component of GPS station position time series from dense continuous network
2016
Multichannel Singular Spectrum Analysis in the Estimates of Common Environmental Effects Affecting GPS Observations
Pure and Applied Geophysics
2018
A factor model approach for the joint segmentation with between‐series correlation
Scandinavian Journal of Statistics
2015
Characterizing noise in daily GPS position time series with overlapping Hadamard variance and maximum likelihood estimation
2017
Noise-Dependent Adaption of the Wiener Filter for the GPS Position Time Series
Mathematical Geosciences
2018
Crustal motions in Great Britain: evidence from continuous GPS, absolute gravity and Holocene sea level data
2009
Modeling and Forecasting the GPS Zenith Troposphere Delay in West Antarctica Based on Different Blind Source Separation Methods and Deep Learning
Sensors
2020
Fault slip rates and interseismic deformation in the western Transverse Ranges, California
2013
New insights into active tectonics and seismogenic potential of the Italian Southern Alps from vertical geodetic velocities
Solid Earth
2020
Noise analysis for environmental loading effect on GPS time series
2016
Spatiotemporal Signal and Noise Analysis of GPS Position Time Series of the Permanent Stations in China
2014