The DOI matches its Crossref record; 27 of the 27 references it cites were found in a registry or an index.
Error analysis of continuous GPS position time series
Open accessAbstract
A total of 954 continuous GPS position time series from 414 individual sites in nine different GPS solutions were analyzed for noise content using maximum likelihood estimation (MLE). The lengths of the series varied from around 16 months to over 10 years. MLE was used to analyze the data in two ways. In the first analysis the noise was assumed to be white noise only, a combination of white noise plus flicker noise, or a combination of white noise plus random walk noise. For the second analysis the spectral index and amplitude of the power law noise were estimated simultaneously with the white noise. In solutions where the sites were globally distributed, the noise can be best described by a combination of white noise plus flicker noise. Both noise components show latitude dependence in their amplitudes (higher at equatorial sites) together with a bias to larger values in the Southern Hemisphere. In the regional solutions, where a spatially correlated (common mode) signal has been removed, the noise is significantly lower. The spectral index of the power law in regional solutions is more varied than in the global solutions and probably reflects a mixture of local effects. A significant reduction in noise can be seen since the first continuous GPS networks began recording in the early 1990s. A comparison of the noise amplitudes to the different monument types in the Southern California Integrated GPS Network suggests that the deep drill braced monument is preferred for maximum stability.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
The Fractal Geometry of Nature
Mandelbrot, B. B., & Wheeler, J. A. (1983) · American Journal of Physics · doi:10.1119/1.13295 · Cited by 21,832
Individual Comparisons by Ranking Methods
Wilcoxon, F. (1945) · Biometrics Bulletin · doi:10.2307/3001968 · Cited by 15,354
Fractional Brownian Motions, Fractional Noises and Applications
Mandelbrot, B. B., & Van Ness, J. W. (1968) · SIAM Review · doi:10.1137/1010093 · Cited by 7,645
Precise point positioning for the efficient and robust analysis of GPS data from large networks
Zumberge, J. F., Heflin, M. B., Jefferson, D. C., Watkins, M. M., & Webb, F. H. (1997) · Journal of Geophysical Research: Solid Earth · doi:10.1029/96jb03860 · Cited by 3,620
Hosking, J. R. M. (1981) · Biometrika · doi:10.1093/biomet/68.1.165 · Cited by 2,773
Statistics for Long-Memory Processes.
Ray, W. D., & Beran, J. (1996) · Journal of the Royal Statistical Society. Series A (Statistics in Society) · doi:10.2307/2983481 · Cited by 2,686
Forecasting Economic Time Series
(2000) · The Economic Journal · doi:10.1111/1468-0297.00513 · Cited by 1,768
Forecasting Economic Time Series
Taylor, S. J. (1979) · Journal of the Operational Research Society · doi:10.1057/jors.1979.126 · Cited by 1,004
Altamimi, Z., Sillard, P., & Boucher, C. (2002) · Journal of Geophysical Research: Solid Earth · doi:10.1029/2001jb000561 · Cited by 848
Noise in GPS coordinate time series
Mao, A., Harrison, C. G. A., & Dixon, T. H. (1999) · Journal of Geophysical Research: Solid Earth · doi:10.1029/1998jb900033 · Cited by 764
Cited by
ITRF2008: an improved solution of the international terrestrial reference frame
Altamimi, Z., Collilieux, X., & Métivier, L. (2011) · Journal of Geodesy · doi:10.1007/s00190-011-0444-4 · Cited by 1,181
Subduction zone coupling and tectonic block rotations in the North Island, New Zealand
Wallace, L. M., Beavan, J., McCaffrey, R., & Darby, D. (2004) · Journal of Geophysical Research: Solid Earth · doi:10.1029/2004jb003241 · Cited by 699
MIDAS robust trend estimator for accurate GPS station velocities without step detection
Blewitt, G., Kreemer, C., Hammond, W. C., & Gazeaux, J. (2016) · Journal of Geophysical Research: Solid Earth · doi:10.1002/2015jb012552 · Cited by 361
Serpelloni, E., Faccenna, C., Spada, G., Dong, D., & Williams, S. D. P. (2013) · Journal of Geophysical Research: Solid Earth · doi:10.1002/2013jb010102 · Cited by 350
Self-citationMazzotti, S., James, T. S., Henton, J., & Adams, J. (2005) · Journal of Geophysical Research: Solid Earth · doi:10.1029/2004jb003590 · Cited by 81
Metadata
- Authors
- Williams, S. D. P., Bock, Y., Fang, P., Jamason, P., Nikolaidis, R. M., Prawirodirdjo, L., Miller, M., & Johnson, D. J.
- Venue
- Journal of Geophysical Research: Solid Earth
- Publisher
- American Geophysical Union (AGU)
- Published
- 2004-03
- Volume
- 109
- Issue
- B3
- ISSN
- 0148-0227 (ISSN-L)
- OpenAlex
- W2066577158
- Cited by
- 734
- References
- 27
- FWCI
- 48.00
- Type
- journal article
- Language
- en
- Open access
- bronze
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Error analysis of continuous GPS position time series. https://app.cochat.ai/papers/10.1029/2003jb002741
- The paper
- Williams, S. D. P., Bock, Y., Fang, P., Jamason, P., Nikolaidis, R. M., Prawirodirdjo, L., Miller, M., & Johnson, D. J. (2004). Error analysis of continuous GPS position time series. Journal of Geophysical Research: Solid Earth. https://doi.org/10.1029/2003jb002741
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.