Coordinate time series comparison. Application to ITRF2005 height residuals time series. X. Collilieux, Zuheir Altamimi, David Coulot,

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1 Coordinate time series comparison. Application to ITRF2005 height residuals time series X. Collilieux, Zuheir Altamimi, David Coulot, Acknowledgement : J. Ray,T. Van Dam, P. Sillard, I. Panet 1

2 Outline: - ITRF2005 height residuals - Annual signal - -, preliminary results 2

3 : Time series stacking (CATREF model): Epoch Nb of files VLBI > 3000 session s IVS Daily and irregular SLR ~ 650 weeks ILRS Weekly and regular GPS ~ 500 weeks IGS Weekly and regular CCs Sampling Modeled Not modeled Solid earth tide Atmospheric loading Polar tide Hydrology Ocean tide loading Non tidal ocean loading... ti ti+1 (Ti,Ri,Di) tc ti+2 (Ti+1,Ri+1,Di+1) 3

4 Height component : GPS, VLBI, SLR IGS (GPS) 208 stations ILRS (SLR) 28 stations IVS (VLBI) 20 stations SNR > 3.5 4

5 Annual signal in height residuals (1/3) IGS : annual signal f = 1 cy/yr SNR > 3.5 Φ A. cos( ω. T Φ) 5

6 Annual signal in height residuals (2/3) co-location site : IGS (GPS) ILRS (SLR) IVS (VLBI) Not co-located : IGS (GPS) 6

7 Annual signal in height residuals (3/3) IGS (GPS) ILRS (SLR) IVS (VLBI) 7

8 - Method - Principle : : Ex: VLBI and GPS data of a co-location site. Problem : data gap, different sampling, displacements with uncertainties GPS VLBI t - Hypothesis : work at daily sampling. GPS and SLR measure a weekly mean of a daily process. Add information about time evolution Xt+1 = Xt + ut with ut white noise with unknown variance the 2 White noises are correlated additive decorrelated noise. data uncertainties are known with unknown scaling factor - 5 parameters to be estimatedeguby maximum likelihood

9 VLBI/GPS Results (1/3) Hartebeesthoek Height residual time series Ny-Alesund Height residual time series VLBI smoothed VLBI GPS smoothed GPS 9

10 SLR/GPS - Results (2/3) W ettzell Height residual time series Yarragadee Height residual time series GPS smoothed GPS SLR smoothed SLR 10

11 SLR/GPS - Results (3/3) Yarragadee Height residual time series, Annual signal removed Annual signal : Amplitude : 5.5 ± 0.2 mm SLR smoothed SLR GPS smoothed GPS 11

12 Network Effect (1/2) : - Propagation of some part of station individual motion into global parameters or conversely How can we quantify the network effect? 12

13 Network Effect (1/2) Example : DRAO, height component Full network selection Difference Scattering East Annual ampl. Scattering East North Annual ampl. Scattering North Up Annual ampl. Up 0.40 ± ± ± ± ± ± 0.13 * Computed from

14 : Annual signal detected in the height residual time series of the three techniques Significant regional correlation detected in the annual signal Confirmed by SLR and VLBI in some areas: Australia, South of Africa s : Rather good consistency between VLBI and GPS in the height Same conclusion for few SLR sites. The network effect might contribute to the disagreement observed. Need to be investigated Artile submitted to JGR: Spectral and correlation analyses of ITRF2005 VLBI, GPS and SLR height residuals: How well do space geodetic techniques agree?, Journal of Geophysical Research, submitted, X. Collilieux, Z. Altamimi, D. Coulot, J. Ray, P. Sillard 14

15 Web site Thank you! 15

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