Noise characteristics of GPS time series and their influence on velocity uncertainties

  • Jagat Dwipendra Ray
  • M Sithartha Muthu VijayanEmail author
  • Ashok Kumar


Accurate geodetic crustal deformation estimates with realistic uncertainties are essential to constrain geophysical models. A selection of appropriate noise model in geodetic data processing based on the characteristics of the geodetic time series being studied is the key to achieving realistic uncertainties. In this study, we report noise characteristics of a 12-yr long global positioning system (GPS) geodetic time series (2002–2013) obtained from 22 continuous mode GPS stations situated in north-east India, Nepal and Bhutan Himalayas which are one of the most complex tectonic regimes influenced by the largest hydrological loading and impacted with a load of the largest inland glaciers. A comparison of the maximum log likelihood estimates of three different noise models – (i) white plus power law (WPL), (ii) white plus flicker law (WFL) and (iii) white plus random walk noise – adopted to process the GPS time series reveals that among the three models, \(\sim \)74% of the time series can be better described either by WPL or WFL model. The results further showed that the horizontals in Nepal Himalayas and verticals in north-east India are highly correlated with time. The impact analysis of noise models on velocity estimation shows that the conventional way of assuming time uncorrelated noise models (white noise) for constraining the crustal deformation of this region severely underestimates rate uncertainty up to 14 times. Such simplistic assumption, being adopted in many geodetic crustal deformation studies, will completely mislead the geophysical interpretations and has the potential danger of identifying any inter/intra-plate tectonic quiescence as active tectonic deformation. Furthermore, the analysis on the effect of the time span of observations on velocity uncertainties suggests 3 yr of continuous observations as a minimum requirement to estimate the horizontal velocities with realistic uncertainties for constraining the tectonics of this region.


Noise GPS time series maximum likelihood estimation velocity crustal deformation error analysis 



We acknowledge the grant from the Ministry of Earth Sciences, Govt. of India (MoES/P.O (Seismo)/1(26)/09) for the maintenance of the permanent stations in north-east India. We would like to thank Simon Williams for providing the CATS software. We also thank the Survey of India (SOI), Govt. of India for providing us the data of the permanent GPS stations in Aizawl, Guwahati, Imphal, Sikkim and Shillong. We thank Jean Philippe Avouac and his group at Caltech Tectonics Observatory for establishing, and maintaining the GPS stations in Nepal and opening up the data for public use. We thank Roger Bilham and Geologic Survey of Bhutan for the Bhutan data. We are profoundly thankful to UNAVCO for making the data publicly available with easily accessible interface to the data archive.

Supplementary material

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Supplementary material 1 (doc 27 KB)
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Supplementary material 2 (doc 39 KB)
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Supplementary material 3 (doc 39 KB)
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Supplementary material 4 (doc 39 KB)


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Copyright information

© Indian Academy of Sciences 2019

Authors and Affiliations

  1. 1.Department of PhysicsTezpur UniversityTezpurIndia
  2. 2.Department of PhysicsNIT NagalandDimapurIndia
  3. 3.Multi-Scale Modelling Programme (MSMP)CSIR Fourth Paradigm Institute [CSIR 4PI]BengaluruIndia

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