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Effect of troposphere slant delays on regional double difference GPS processing


The demand for geodetic time series that are accurate and stable is increasing. One factor limiting their accuracy is troposphere refraction, which is hard to model and compute with sufficient resolution, both in time and space. We have studied the effect of numerical weather model (NWM)-derived troposphere slant delays and the most commonly used mapping functions, Niell and Vienna, on Global Positioning System (GPS) processing. Six months of data were calculated for a regional Finnish network, FinnRef, which consists of 13 stations, using Bernese v. 5.0 in double difference mode. The results showed that when site-specific troposphere zenith delays or gradients are not estimated, the use of NWM-based troposphere delays improved the repeatabilities of all three components of station positions (north, east and up) statistically significantly and up to 60%. The more realistic troposphere model also reduces the baseline length dependence of the solution. When site-specific troposphere delays and the horizontal gradients were estimated, there was no statistically significant improvement between the different solutions.


  • Bock, O., J. Tarniewicz, Ch. Thom, and J. Pelon, The effect of inhomogeneities in the lower atmosphere on coordinates determined from GPS measurements, Phys. Chem. Earth, 27, 323–328, 2002.

    Article  Google Scholar 

  • Boehm, J. and H. Schuh, Vienna mapping functions in VLBI analyses, Geophys. Res. Lett., 31, L01603, doi:10.1029/2003GL018984, 2004.

    Article  Google Scholar 

  • Boehm, J., B. Werl, and H. Schuh, Troposphere mapping functions for GPS and very long baseline interferometry from European Centre for Medium-Range Weather Forecasts operational analysis data, J. Geophys. Res., 111, B02406, doi:10.1029/2005JB003629, 2006a.

  • Boehm, J., A. Niell, P. Tregoning, and H. Schuh, Global Mapping Function (GMF): A new empirical mapping function based on numerical weather model data, Geophys. Res. Lett., 33, L07304, doi:10. 1029/2005GL025546, 2006b.

    Article  Google Scholar 

  • Boucher, C., Z. Altamimi, P. Sillard, and M. Feissel-Vernier, The ITRF2000 (IERS Technical Note; 31) Frankfurt am Main: Verlag des Bundesamts für Kartographie und Geodäsie, 289 pp., 2004.

    Google Scholar 

  • Brandt, S., Data analysis, Statistical and computational methods for scientists and engineers, Springer-Verlag, 1999.

    Google Scholar 

  • Dach, R., U. Hugentobler, P. Fridez, and M. Meindl (Eds.), Bernese GPS Software, Version 5.0, 612 pp., Astronomical Institute, University of Berne, 2007.

  • Elgered, G., H.-P. Plag, H. van der Marel, S. Barlag, and J. Nash (Eds.), COST Action 716—Exploitation of ground-based GPS for operational numerical weather prediction and climate applications, European Union, Rep. EUR 21639, COST Office, Brussels, Belgium, 234 pp., 2005.

  • Eresmaa, R. and H. Järvinen, An observation operator for ground-based GPS slant delays, Tellus, 58A, 131–140, 2006.

    Article  Google Scholar 

  • Eresmaa, R., H. Järvinen, M. Nordman, M. Poutanen, J. Syrjärinne, and J.-P. Luntama, Parameterization of tropospheric delay correction for mobile GNSS positioning: a case study of a cold front passage, Meteorol. Applic., 2008 (submitted).

    Google Scholar 

  • Hobiger, T., R. Ichikawa, T. Takasu, Y. Koyama, and T. Kondo, Ray-traced troposphere slant delays for precise point positioning, Earth Planets Space, 60, e1–e4, 2008.

    Article  Google Scholar 

  • Krügel, M., D. Thaller, V. Tesmer, M. Rothacher, D. Angermann, and R. Schmid, Tropospheric parameters: combination studies based on homogeneous VLBI and GPS data, J. Geod., 81, 515–527, doi:10. 1007/s00190-006-0127-8, 2007.

    Article  Google Scholar 

  • MacMillan, D. S. and C. Ma, Using meteorological data assimilation models in computing tropospheric delays at microwave frequencies, Phys. Chem. Earth, 23, 97–102, 1998.

    Article  Google Scholar 

  • Niell, A. E., Global mapping functions for the atmosphere delay at radio wavelengths, J. Geophys. Res., 101(B2), 3227–3246, 1996.

    Article  Google Scholar 

  • Niell, A. E., Preliminary evaluation of atmospheric mapping functions based on numerical weather models, Phys. Chem. Earth, 26, 475–480, 2001.

    Article  Google Scholar 

  • Niell, A. E., A. J. Coster, F. S. Solheim, V. B. Mendes, P. C. Toor, R. B. Langley, and C. A. Upham, Comparison of measurements of atmospheric wet delay by radiosonde, water vapor radiometer, GPS, and VLBI, J. Atmos. Oceanic Technol., 18, 830–850, 2001.

    Article  Google Scholar 

  • Nordman, M., R. Eresmaa, M. Poutanen, H. Järvinen, H. Koivula, and J.- P. Luntama, Using numerical weather prediction model derived tropospheric slant delays in GPS processing: a case study, Geophys., 43(1–2), 43–51, 2007.

    Google Scholar 

  • Poutanen, M., J. Jokela, M. Ollikainen, H. Koivula, M. Bilker, and H. Virtanen, Scale variation of GPS time series, in A Window on the Future of Geodesy, IAG General Assembly in Sapporo, Japan 2003, edited by F. Sansò, 15–20, IAG Symposia 128, Springer-Verlag, 2005.

    Google Scholar 

  • Saastamoinen, J., Contributions to the theory of atmospheric refraction, Bull. Géodésique, 107, 13–34, 1973.

    Article  Google Scholar 

  • Simmons, A. J. and J. K. Gibson (Eds.), The ERA-40 Project Plan, ERA- 40 Proj. Rep. Ser. 1, Eur. Cent. for Medium-Range Weather Forecasts, Reading, U.K., 2000.

  • Snajdrova, K., J. Boehm, P. Willis, R. Haas, and H. Schuh, Multitechnique comparison of tropospheric zenith delays derived during the CONT02 campaign, J. Geod., 79, 613–623, doi:10.1007/s00190-005- 0010-z, 2006.

    Article  Google Scholar 

  • Stoyanov, B., R. Haas, and L. Gradinarsky, Calculating mapping functions from the HIRLAM numerical weather prediction model, in International VLBI Service for Geodesy and Astrometry 2004 General Meeting Proceedings, edited by N. R. Vandenberg and K. D. Baver, 471–475, NASA/CP-2004-212255, 2004.

    Google Scholar 

  • Tesmer, V., J. Boehm, R. Heinkelmann, and H. Schuh, Effect of different tropospheric mapping functions on the TRF, CRF and position timeseries estimated from VLBI, J. Geod., doi:10.1007/s00190-006-0126-9, 2007.

    Google Scholar 

  • Tregoning, P. and T. van Dam, Atmospheric pressure loading corrections applied to GPS data at the observation level, Geophys. Res. Lett., 32, L22310, doi:10.1029/2005GL024104, 2005.

  • Troller, M., A. Geiger, E. Brockmann, and H.-G. Kahle, Determination of the spatial and temporal variation of tropospheric water vapour using CGPS networks, Geophys. J. Int., 167, 509–520, doi:10.1111/j.1365- 246X.2006.03101.x, 2006.

    Article  Google Scholar 

  • Undén, P., L. Rontu, H. Järvinen, P. Lynch, J. Calvo, G. Cats, J. Cuxart, K. Eerola, C. Fortelius, J. A. Garcia-Moya, C. Jones, G. Lenderlink, A. McDonald, R. McGrath, B. Navascués, N. Woetman Nielsen, V. Ødegaard, E. Rodriguez, M. Rummukainen, R. Rõõm, K. Sattler, B. Hansen Sass, H. Savijärvi, B. Wichers Schreur, R. Sigg, H. The, and A. Tijm, HIRLAM-5 Scientific Documentation, Available from Hirlam-5 Project, c/o Per Undén, SMHI, S-60176, Norrköping, Sweden, 144 pp., 2002.

    Google Scholar 

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Correspondence to Maaria Nordman.

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Nordman, M., Eresmaa, R., Boehm, J. et al. Effect of troposphere slant delays on regional double difference GPS processing. Earth Planet Sp 61, 845–852 (2009).

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Key words

  • Troposphere slant delays
  • geodetic time series
  • GPS processing
  • double difference mode