VLBI-derived troposphere parameters during CONT08

Time-series of zenith wet and total troposphere delays as well as north and east gradients are compared, and zenith total delays (ZTD) are combined on the level of parameter estimates. Input data sets are provided by ten Analysis Centers (ACs) of the International VLBI Service for Geodesy and Astrometry (IVS) for the CONT08 campaign (12–26 August 2008). The inconsistent usage of meteorological data and models, such as mapping functions, causes systematics among the ACs, and differing parameterizations and constraints add noise to the troposphere parameter estimates. The empirical standard deviation of ZTD among the ACs with regard to an unweighted mean is 4.6 mm. The ratio of the analysis noise to the observation noise assessed by the operator/software impact (OSI) model is about 2.5. These and other effects have to be accounted for to improve the intra-technique combination of VLBI-derived troposphere parameters. While the largest systematics caused by inconsistent usage of meteorological data can be avoided and the application of different mapping functions can be considered by applying empirical corrections, the noise has to be modeled in the stochastic model of intra-technique combination. The application of different stochastic models shows no significant effects on the combined parameters but results in different mean formal errors: the mean formal errors of the combined ZTD are 2.3 mm (unweighted), 4.4 mm (diagonal), 8.6 mm [variance component (VC) estimation], and 8.6 mm (operator/software impact, OSI). On the one hand, the OSI model, i.e. the inclusion of off-diagonal elements in the cofactor-matrix, considers the reapplication of observations yielding a factor of about two for mean formal errors as compared to the diagonal approach. On the other hand, the combination based on VC estimation shows large differences among the VCs and exhibits a comparable scaling of formal errors. Thus, for the combination of troposphere parameters a combination of the two extensions of the stochastic model is recommended.

[1]  Detlef Angermann,et al.  ITRS Combination Centre at DGFI - A terrestrial reference frame realization 2003 , 2004 .

[2]  Harald Schuh,et al.  IVS Pilot Project - Tropospheric Parameters , 2003 .

[3]  H. Schuh,et al.  Troposphere mapping functions for GPS and very long baseline interferometry from European Centre for Medium‐Range Weather Forecasts operational analysis data , 2006 .

[4]  Harald Schuh,et al.  Troposphere mapping functions for GPS and VLBI from ECMWF operational analysis data , 2006 .

[5]  Hans van der Marel,et al.  Ground-Based GPS for Climate and Numerical Weather Prediction Applications , 2001 .

[6]  Dirk Behrend,et al.  The International VLBI Service for Geodesy and Astrometry (IVS): current capabilities and future prospects , 2007 .

[7]  H. Schuh,et al.  The Effect of Meteorological Input Data on the VLBI Reference Frames , 2009 .

[8]  Volker Tesmer,et al.  Robust Outlier Detection in VLBI Data Analysis , 2003 .

[9]  G. Bierman Factorization methods for discrete sequential estimation , 1977 .

[10]  I. Shapiro,et al.  Geodesy by radio interferometry: Effects of atmospheric modeling errors on estimates of baseline length , 1985 .

[11]  Shuanggen Jin,et al.  Diurnal and semidiurnal atmospheric tides observed by co-located GPS and VLBI measurements , 2008 .

[12]  Arthur Gelb,et al.  Applied Optimal Estimation , 1974 .

[13]  H. Schuh,et al.  Short Note: A global model of pressure and temperature for geodetic applications , 2007 .

[14]  T. Artz,et al.  VLBI terrestrial reference frame contributions to ITRF2008 , 2010 .

[15]  Thomas A. Herring,et al.  Effects of atmospheric azimuthal asymmetry on the analysis of space geodetic data , 1997 .

[16]  H. Schuh,et al.  Combination of long time-series of troposphere zenith delays observed by VLBI , 2007 .

[17]  Peter Steigenberger,et al.  Multi-technique comparison of troposphere zenith delays and gradients during CONT08 , 2011 .

[18]  D. S. MacMillan,et al.  Using meteorological data assimilation models in computing tropospheric delays at micrwave frequencies , 1998 .

[19]  J. Kusche,et al.  A Monte-Carlo technique for weight estimation in satellite geodesy , 2003 .

[20]  Hansjörg Kutterer,et al.  Towards an Improved Assessment of the Quality of Terrestrial Reference Frames , 2009 .

[21]  D. S. MacMillan,et al.  Atmospheric gradients from very long baseline interferometry observations , 1995 .

[22]  Z. Altamimi,et al.  ITRF2005 : A new release of the International Terrestrial Reference Frame based on time series of station positions and Earth Orientation Parameters , 2007 .

[23]  Hermann Drewes,et al.  Geodetic Reference Frames , 2009 .

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

[25]  A. Niell Global mapping functions for the atmosphere delay at radio wavelengths , 1996 .