Journal : Acta Geophysica
Article : GPS-derived height changes in diurnal and sub-diurnal timescales

Authors :
Bogusz, J.
Centre of Applied Geomatics, Military University of Technology, jbogusz@wat.edu.pl,
Abstract : This paper describes the research concerning precise short-time GPS solutions conducted in the Centre of Applied Geomatics, Military University of Technology, Warsaw, Poland. The data from ASG-EUPOS software and EPN (EUREF Permanent Network) standards and models. In this study, the adapted 3-hour observation window is shifted every hour for obtaining hourly geocentric coordinates in ITRF2005 reference frame. The adjusted network consisted of over 130 stations from Poland and the neighbouring countries, the period covered observations collected from June 2008 through June 2010. These two years of observations allowed for examining short-period oscillations which were found to be closely related to the tidal (dynamic) frequencies. The analysis of the residua from the IERS2003 tidal model was performed using the least squares method with the Eterna software. It confirmed the existence of significant (several millimetres) oscillations in the frequencies corresponding to S1, K1 and K2. The paper describes the idea of data processing and analysis, presents the results of vertical (the Up component) oscillations in main tidal frequency bands, and also includes discussion of possible explanation of the existence of short-period oscillations in the GPS precise solutions and the possibility of propagation of short-period oscillations into long-period spurious changes in the daily (standard) GPS solutions.

Keywords : GPS, short-periodic signals, least squares estimation, ASG-EUPOS,
Publishing house : Instytut Geofizyki PAN
Publication date : 2012
Number : Vol. 60, no. 2
Page : 295 – 317

Bibliography
: Altamimi, Z., X. Collilieux, and L. Métivier (2011), ITRF2008: an improved solution of the international terrestrial reference frame, J. Geod. 85, 8, 457-473, DOI: 10.1007/s00190-011-0444-4.
Araszkiewicz, A., J. Bogusz, and M. Figurski (2009), Investigation on tidal components in GPS coordinates, Artif. Satellites 44, 2, 67-74, DOI: 10.2478/ v10018-009-0020-9.
Bogusz, J., and M. Figurski (2010), Short-period information in GPS time series, Artif. Satellites 45, 3, 119-128, DOI: 10.2478/v10018-011-0001-7.
Bogusz, J., and J. Hefty (2011), Determination of the not-modelled short periodic variations in the GPS permanent sites’ positions, Acta Geodyn. Geomater. 8, 3 (163), 283-290.
Bogusz, J., and B. Kontny (2011), Estimation of sub-diurnal noise level in GPS time series, Acta Geodyn. Geomater. 8, 3 (163), 273-281.
Bogusz, J., M. Kruczyk, T. Liwosz, M. Pfeil, and J.B. Rogowski (2000a), Study on geophysical influences to the GPS coordinates. In: Proc. EUREF Symposium, 22-24 June 2000, Tromsø, Norway, 348-351.
Bogusz, J., M. Kruczyk, M. Figurski, T. Liwosz, M. Pfeil, and J.B. Rogowski (2000b), Modeling of the influence of geophysical and atmospheric effects in position and gravity changes. In: Proc. ION GPS-2000, 19-22 September 2000, Salt Lake City, USA, 416-424.
Bogusz, J., M. Figurski, K. Kroszczyński, and K. Szafranek (2011), Investigation of environmental influences to the precise GNNS solutions, Acta Geodyn. Geomater. 8, 1 (161), 5-15.
Bosy, J., A. Oruba, W. Graszka, M. Leończyk, and M. Ryczywolski (2008), ASGEUPOS densification of EUREF permanent network on the territory of Poland, Rep. Geodesy 2, 85, 105-112.
Bruyninx, C. (2001), Overview of the EUREF permanent network and the network coordination activities. In: J. Torres, and H. Hornik (eds.), EUREF Publication, Bayerischen Akademie der Wiessenschaften, München, Germany, No. 9, 24-30.
Chojnicki, T. (1972), Determination des parametres de marée par la compensation des observations au moyen de la méthode de moindres carrés, Publs. Inst. Geophys. Pol. Acad. Sc. 55, 43-80 (in French).
Dong, D., P. Fang, Y. Bock, M.K. Cheng, and S. Miyazaki (2002), Anatomy of apparent seasonal variations from GPS-derived site position time series, J. Geophys. Res. 107, B4, 2075, DOI: 10.1029/2001JB000573.
Ducarme, B., L. Vandercoilden, and A.P. Venedikov (2006), Estimation of the precision by the tidal analysis programs ETERNA and VAV, Bull. Inf. Marées Terrestres 141, 11189-11200.
Figurski, M., and T. Liwosz (2000), Results of one-hour GPS data processing, Reports on Geodesy 8, 54, 115-121.
Fritsche, M., R. Dietrich, C. Knöfel, A. Rülke, S. Vey, M. Rothacher, and P. Steigenberger (2005), Impact of higher-order ionospheric terms on GPS estimates, Geophys. Res. Lett. 32, L23311, DOI: 10.1029/2005GL024342.
Hefty, J. (2008), Consistency of diurnal and semidiurnal variations estimated from GPS with ocean loading displacements evaluated at some EPN sites. In: Proc. EUREF Symposium, 18-20 June 2008, Brussels, Belgium.
Hefty, J., and M. Igondová (2008), Diurnal and semi-diurnal site coordinates variation resulting from processing with BV42 and BV50. In: 6th LACs Workshop, October 2008, Frankfurt am Main, Germany.
Hefty, J., and M. Igondová (2010), Diurnal and semi-diurnal coordinate variations observed in EUREF permanent GPS network – a case study for period from 2004.0 to 2006.9, Contrib. Geophys. Geod. 40, 3, 225-247, DOI: 10.2478/v10126-010-0010-8.
Hefty, J., H. Kartiková, and M. Igondová (2002), Time series analysis of GPS station coordinates with daily and subdaily resolution. In: EGS XXVII General Assembly, 21-26 April 2002, Nice.
Hefty, J., M. Igondová, M. Kováč, and M. Hrčka (2004), Subdaily coordinate variations in EUREF permanent network. In: M. Meindl (ed.), Celebrating a Decade of the International GPS Service, Astronomical University of Bern (CD-ROM).
Hrčka, M., and J. Hefty (2006), Diurnal and semi-diurnal coordinate variations observedin European permanent GPS Network: deterministic and stochastic constituents, Contrib. Geophys. Geod. Sp. Issue, 7-16.
Hugentobler, U., R. Dach, P. Fridez, and M. Meindl (eds.) (2005), Bernese GPS software. Version 5.0, Astronomical Institute, University of Bern.
Kenyeres, A., and C. Bruyninx (2009), Noise and periodic terms in the EPN time series. In: IAG Symp. Ser. “Geodetic Reference Frames” 134, 3, 143-148, DOI: 10.1007/978-3-642-00860-3_22.
Khan, S.A., and C.C. Tscherning (2001), Determination of semi-diurnal ocean tide loading constituents using GPS in Alaska, Geophys. Res. Lett. 28, 11, 2249-2252, DOI: 10.1029/2000GL011890.
King, M., R. Colemar, and L.N. Nguyen (2003), Spurious periodic horizontal signals in sub-daily GPS position estimates, J. Geod. 77, 1-2, 15-21, DOI: 10.1007/s00190-002-0308-z.
King, M.A., C.S. Watson, N.T. Penna, and P.J. Clarke (2008), Subdaily signals in GPS observations and their effect at semiannual and annual periods, Geophys Res Lett. 35, L03302, DOI: 10.1029/2007GL032252.
Krynski, J., and J. Cisak (2000), Preliminary analysis of the GPS derived vector Borowa Góra – Józefosław, Proc. Inst. Geod. Cartogr., Warsaw, Poland 47, 100, 35-50.
Krynski, J., and Y.M. Zanimonskiy (2003), Analiza zmienności w ciągach rozwiązań GPS i ciągach obserwacji grawimetrycznych IGiK, Monographic Ser. Inst. Geod. Cartogr. 8 (in Polish).
Krynski, J., and Y.M. Zanimonskiy (2005), Towards more reliable estimation of GPS positioning accuracy. In: IAG Symp. Ser. “A Window on the Future of Geodesy” 128, Symp. G01, 48-53, DOI: 10.1007/3-540-27432-4_9.
Krynski, J., Y.M. Zanimonskiy, J. Cisak, and P. Wielgosz (2002a), Variations of GPS solutions for positions of permanent stations – reality or artefact. In: EUREF Publication, No. 8/2, Mitteilungen des Bundesamtes für Kartographie und Geodasie, Frankfurt am Main, 320-325.
Krynski, J., Y.M. Zanimonskiy, and P. Wielgosz (2002b), Modelling biases in GPS positioning based on short observing sessions. In: Proc. XXVII General Assembly of European Geophysical Society, 21-26 April 2002, Nice, France.
Lyard, F., F. Lefevre, T. Letellier, and O. Francis (2006), Modelling the global ocean tides: modern insights from FES2004, Ocean Dynam. 56, 5-6, 394-415, DOI: 10.1007/s10236-006-0086-x.
Mangiarotti, S., A. Cazenave, L. Soudarin, and J.-F. Crétaux (2001), Annual vertical crustal motions predicted from surface mass redistribution and observed by space geodesy, J. Geophys. Res. 106, B3, 4277-4291, DOI: 10.1029/2000JB900347.
McCarthy, D.D., and G. Petit (eds.) (2004), IERS Conventions 2003. In: IERS Technical Note, No. 32, Verlag des Bundesamts für Kartographie und Geodaesie, Farnkfurt am Main.
Melchior, P. (1983), The Tides of the Planet Earth, Pergamon Press, Oxford, 653 pp. Mervart, L. (1995), Ambiguity resolution techniques in geodetic and geodynamic applications of the Global Positioning System, Geod.-Geophys. Arb. Schweiz 53, 155 pp.
Niell, A.E. (1996), Global mapping functions for the atmosphere delay at radio wavelengths, J. Geophys. Res. 101, B2, 3227-3246, DOI: 10.1029/95JB03048.
Penna, N.T., and M.P. Stewart (2003), Aliased tidal signatures in continuous GPS height time series, Geophys. Res. Lett. 30, 23, 2184, DOI: 10.1029/2003GL018828.
Penna, N.T., M.A. King, and M.P. Stewart (2007), GPS height time series: Shortperiod origins of spurious long-period signals, J. Geophys. Res. 112, B02402, DOI: 10.1029/2005JB004047.
Poutanen, M., H. Koivula, and M. Ollikainen (2001), On the periodicity of GPS time series. In: J. Ádám and K.-P. Schwarz (eds.), IAG 2001 Scientific Assembly “Vistas for Geodesy in the New Millennium”, 2-7 September 2001, Budapest, Hungary, Int. Assoc. Geod. Symp., Vol. 125, 388-392.
Ray, J. (2006), Systematic errors in GPS position estimates, Presentation at IGS Workshop, 11 May 2006, Darmstadt (available electronically at nng.esoc.esa.de/ws2006/ERRO6.pdf).
Ray, J., G. Gendt, R. Ferland, and Z. Altamimi (2005), Short-term instabilities in the IGS reference frame, Geophys. Res. Abstr. 7, 02864.
Ray, J., Z. Altamimi, X. Collilieux, and T. van Dam (2008), Anomalous harmonics in the spectra of GPS position estimates, GPS Solut. 12, 1, 55-64, DOI: 10.1007/s10291-007-0067-7.
Ray, R.D., and R.M. Ponte (2003), Barometric tides from ECMWF operational analyses, Ann. Geophys. 21, 1897-1910, DOI: 10.5194/angeo-21-1897-2003.
Rogowski, J.B. (2001), Research conducted from the Astro-Geodetical Observatory of Warsaw University of Technology at Józefosław – historical outline and present state, Rep. Geodesy 1, 56, 83-111.
Rogowski, J.B., J. Bogusz, M. Figurski, M. Kłęk, M. Kruczyk, L. Kujawa, W. Kurka, and T. Liwosz (2004), Activities of the Astrogeodetic Observatory in Józefosław in the Last Decade. In: Proc. IGS Workshop and Symposium, 1-5 March 2004, Bern, Switzerland (CD-ROM).
Rothacher, M., G. Beutler, R. Weber, and J. Hefty (2001), High-frequency variations in Earth rotation from Global Positioning System data, J. Geophys. Res. 106, B7, 13711-13738, DOI: 10.1029/2000JB900393 .
Schaer, S. (1999), Mapping and predicting the Earth’s ionosphere using the Global Positioning System, Ph.D. Thesis, University of Bern, Switzerland.
Shuanggen, J., O.F. Luo, and S. Gleason (2009), Characterization of diurnal cycles in ZTD from a decade of global GPS observations, J. Geod. 83, 6, 537-545, DOI: 10.1007/s00190-008-0264-3.
Stewart, M.P., N.T. Penna, and D.D. Lichti (2005), Investigating the propagation mechanism of unmodelled systematic errors on coordinate time series estimated using least squares, J. Geod. 79, 8, 479-489. DOI: 10.1007/s00190-005-0478-6.
Tesmer, V., P. Steigenberger, M. Rothacher, J. Boehm, and B. Meisel (2009), Annual deformation signals from homogeneously reprocessed VLBI and GPS height time series, J. Geod. 83, 10, 973-988, DOI: 10.1007/s00190-009-0316-3.
van Camp, M., S.D.P. Williams, and O. Francis (2005), Uncertainty of absolute gravity measurements, J. Geophys. Res. 110, B05406, DOI: 10.1029/2004JB003497.
van Dam, T., J. Wahr, and D. Lavallée (2007), A comparison of annual vertical crustal displacements from GPS and Gravity Recovery and Climate Experiment (GRACE) over Europe, J. Geophys. Res. 112, B03404, DOI:
10.1029/2006JB004335.
Vergnolle, M., M.-N. Bouin, L. Morel, F. Masson, S. Durand, J. Nicolas, and S.A. Melachroinos (2008), GPS estimates of ocean tide loading in NWFrance: determination of ocean tide loading constituents and comparison with a recent ocean tide model, Geophys. J. Int. 173, 2, 444-458, DOI: 10.1111/ j.1365-246X.2008.03734.
Watson, C., P. Tregoning, and R. Coleman (2006), Impact of solid Earth tide models on GPS coordinate and tropospheric time series, Geophys. Res. Lett. 33, L08306, DOI: 10.1029/2005GL025538.
Wenzel, H.-G. (1996), The nanogal software: Earth tide data processing package ETERNA 3.30, Bull. Inf. Marées Terrestres 124, 9425-9439.
Wu, X., M.B. Heflin, E.R. Ivins, and I. Fukumori (2006), Seasonal and interannual global surface mass variations from multisatellite geodetic data, J. Geophys. Res. 111, B09401, DOI: 10.1029/2005JB004100.
Yuan, L.G., X.L. Ding, P. Zhong, W. Chen, and D.F. Huang (2009), Estimates of ocean tide loading displacements and its impact on position time series in Hong Kong using a dense continuous GPS network, J. Geod. 83, 11, 999-1015, DOI: 10.1007/s00190-009-0319-0.
DOI :
Qute : Bogusz, J. ,Bogusz, J. , GPS-derived height changes in diurnal and sub-diurnal timescales. Acta Geophysica Vol. 60, no. 2/2012
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