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Showing papers on "Geodetic datum published in 2017"


Journal ArticleDOI
TL;DR: In this article, the authors provide a review spanning over 25 years of advances in processing strategies, error mitigation methods and noise modeling for the processing and analysis of GPS daily position time series.

88 citations


Book
14 Dec 2017
TL;DR: In this article, the authors describe changes in the Earth's orientation, specifically precession and nutation, and how they are observed and computed in terms of tidal forcing and models of Earth's interior.
Abstract: Covering both astronomical and geophysical perspectives, this book describes changes in the Earth's orientation, specifically precession and nutation, and how they are observed and computed in terms of tidal forcing and models of the Earth's interior. Following an introduction to key concepts and elementary geodetic theory, the book describes how precise measurements of the Earth's orientation are made using observations of extra-galactic radio-sources by Very Long Baseline Interferometry techniques. It demonstrates how models are used to accurately pinpoint the location and orientation of the Earth with reference to the stars and how to determine variations in its rotation speed. A theoretical framework is also presented that describes the role played by the structure and properties of the Earth's deep interior. Incorporating suggestions for future developments in nutation theory for the next generation models, this book is ideal for advanced-level students and researchers in solid Earth geophysics, planetary science and astronomy.

60 citations


Journal ArticleDOI
TL;DR: The theoretical foundations supporting the implementation of such a physical reference surface in terms of an International Height Reference System are addressed and guidance for the coming activities required for the practical and sustainable realization of this system are provided.
Abstract: Studying, understanding and modelling global change require geodetic reference frames with an order of accuracy higher than the magnitude of the effects to be actually studied and with high consistency and reliability worldwide. The International Association of Geodesy, taking care of providing a precise geodetic infrastructure for monitoring the Earth system, promotes the implementation of an integrated global geodetic reference frame that provides a reliable frame for consistent analysis and modelling of global phenomena and processes affecting the Earth’s gravity field, the Earth’s surface geometry and the Earth’s rotation. The definition, realization, maintenance and wide utilization of the International Terrestrial Reference System guarantee a globally unified geometric reference frame with an accuracy at the millimetre level. An equivalent high-precision global physical reference frame that supports the reliable description of changes in the Earth’s gravity field (such as sea level variations, mass displacements, processes associated with geophysical fluids) is missing. This paper addresses the theoretical foundations supporting the implementation of such a physical reference surface in terms of an International Height Reference System and provides guidance for the coming activities required for the practical and sustainable realization of this system. Based on conceptual approaches of physical geodesy, the requirements for a unified global height reference system are derived. In accordance with the practice, its realization as the International Height Reference Frame is designed. Further steps for the implementation are also proposed.

57 citations



Journal ArticleDOI
TL;DR: In this article, the potential differences between the local and the global reference levels were derived based on the geodetic boundary value problem (GBVPP) and the observation equations were then empirically evaluated for the vertical datum unification of the North American and South American height systems.
Abstract: The International Association of Geodesy released in July 2015 a resolution for the definition and realisation of an International Height Reference System (IHRS). According to this resolution, the IHRS coordinates are potential differences referring to the equipotential surface of the Earth's gravity field realised by the conventional value W0 = 62 636 853.4 m2s−2. A main component of the IHRS realisation is the integration of the existing height systems into the global one; i.e. existing vertical coordinates should be referred to one and the same reference level realised by the conventional W0. This procedure is known as vertical datum unification and its main result are the vertical datum parameters, i.e., the potential differences between the local and the global reference levels. In this paper, we rigorously derive the observation equations for the vertical datum unification in terms of potential quantities based on the geodetic boundary value problem (GBVP) approach. Those observation equations are then empirically evaluated for the vertical datum unification of the North American and South American height systems. In the first case, simulations performed in North America provide numerical estimates about the impact of omission errors and direct and indirect effects on the vertical datum parameters. In the second case, a combination of local geopotential numbers, ITRF coordinates, satellite altimetry observations, tide gauge registrations and high-resolution gravity field models is performed to estimate the level differences between the South American height systems and the global level W0. Results show that indirect effects vanish when a satellite-only gravity field model with a degree higher than n ≥ 180 is used for the solution of the GBVP. However, the component derived from satellite-only global gravity models has to be refined with terrestrial gravity data to minimise the omission error and its effect on the vertical datum parameter estimation. The empirical evaluations demonstrate that the vertical datum unification should be based on geodetic stations of highest quality and standardised geodetic data; for example, geometric coordinates should refer to the same ITRF and be given in the same tide system and reference epoch as the geopotential numbers and gravity field model. After a standardisation of the input data used in the unification of the South American height systems and a rigorous error propagation analysis, we demonstrate that the vertical datum parameters can be estimated with accuracy better than ± 5 cm in well-surveyed regions and some decimetres (± 40 cm) in sparsely surveyed regions. This paper concludes with detailed guidelines for the appropriate data treatment when the integration of a local vertical datum into the IHRS is desired. These guidelines may be applicable in any region of the world.

50 citations


Journal ArticleDOI
TL;DR: Huang et al. as mentioned in this paper used geodetic measurements including near-to-far-field GPS, interferometric synthetic aperture radar (InSAR), and subpixel offset measurements of radar and optical images to characterize the fault slip during the 2010 Mw 7.2 El Mayor-Cucapah (EMC) earthquake.
Abstract: Author(s): Huang, MH; Fielding, EJ; Dickinson, H; Sun, J; Gonzalez-Ortega, JA; Freed, AM; Burgmann, R | Abstract: The 4 April 2010 Mw 7.2 El Mayor-Cucapah (EMC) earthquake in Baja, California, and Sonora, Mexico, had primarily right-lateral strike-slip motion and a minor normal-slip component. The surface rupture extended about 120 km in a NW-SE direction, west of the Cerro Prieto fault. Here we use geodetic measurements including near- to far-field GPS, interferometric synthetic aperture radar (InSAR), and subpixel offset measurements of radar and optical images to characterize the fault slip during the EMC event. We use dislocation inversion methods and determine an optimal nine-segment fault geometry, as well as a subfault slip distribution from the geodetic measurements. With systematic perturbation of the fault dip angles, randomly removing one geodetic data constraint, or different data combinations, we are able to explore the robustness of the inferred slip distribution along fault strike and depth. The model fitting residuals imply contributions of early postseismic deformation to the InSAR measurements as well as lateral heterogeneity in the crustal elastic structure between the Peninsular Ranges and the Salton Trough. We also find that with incorporation of near-field geodetic data and finer fault patch size, the shallow slip deficit is reduced in the EMC event by reductions in the level of smoothing. These results show that the outcomes of coseismic inversions can vary greatly depending on model parameterization and methodology.

36 citations


Journal ArticleDOI
TL;DR: In this article, the horizontal positional accuracy of Google Earth is assessed in the city of Montreal, Canada, using the precise coordinates of ten GPS points spatially distributed all over the city.
Abstract: The horizontal positional accuracy of Google Earth is assessed in the city of Montreal, Canada, using the precise coordinates of ten GPS points spatially distributed all over the city. The results show that the positional accuracy varies in the study area between ∼0.1 m in the south to ∼2.7 m in the north. Furthermore, two methods are developed for correcting the observed positional errors: (a) using a set of transformation parameters between true coordinates of the geodetic points and their coordinates in Google Earth, and by (b) interpolating the misfit vectors at the geodetic points. The former method reduces the overall accuracy to ∼67 cm RMSE, whereas the latter one practically removes all the distortion (RMSE = 1 cm). Both methods can be developed for other places in the world subject to availability of appropriate control points. In addition, a displacement problem caused by the topography of the area and the viewing angle of the imaging satellite is discussed, and it is shown that the true positions can be shifted even up to several meters, as a consequence.

34 citations



Journal ArticleDOI
TL;DR: It is shown that the strong edge geodetic problem is NP-complete and derive lower and upper bounds for the strong edges of this problem and demonstrate that these bounds are sharp.
Abstract: Geodesic covering problems form a widely researched topic in graph theory. One such problem is geodetic problem introduced by Harary et al. Here we introduce a variation of the geodetic problem and call it strong edge geodetic problem. We illustrate how this problem is evolved from social transport networks. It is shown that the strong edge geodetic problem is NP-complete. We derive lower and upper bounds for the strong edge geodetic number and demonstrate that these bounds are sharp. We produce exact solutions for trees, block graphs, silicate networks and glued binary trees without randomization.

32 citations


Proceedings ArticleDOI
20 Jun 2017

30 citations


Journal ArticleDOI
TL;DR: In this paper, a comparative analysis of the Earth's surface deformations measured by ground-based and satellite geodetic methods on the regional and zonal measurement scales is carried out.
Abstract: The comparative analysis of the Earth’s surface deformations measured by ground-based and satellite geodetic methods on the regional and zonal measurement scales is carried out. The displacement velocities and strain rates are compared in the active regions such as Turkmenian–Iranian zone of interaction of the Arabian and Eurasian lithospheric plates and the Kamchatka segment of the subduction of the Pacific Plate beneath the Okotsk Plate. The comparison yields a paradoxical result. With the qualitatively identical kinematics of the motion, the quantitative characteristics of the displacement velocities and rates of strain revealed by the observations using the global navigational satellite system (GNSS) are by 1–2 orders of magnitude higher than those estimated by the more accurate methods of ground-based geodesy. For resolving the revealed paradoxes, it is required to set up special studies on the joint analysis of ground-based and satellite geodetic data from the combined observation sites.

Journal ArticleDOI
TL;DR: The enhanced method allows for a more detailed view of ongoing deformation processes as compared to the single use of either GNSS or DInSAR only and thus is suited to improve assessments of regional seismic hazard.
Abstract: Differential Interferometric SAR (DInSAR) time-series techniques can be used to derive surface displacement rates with accuracies of 1 mm/year, by measuring the one-dimensional distance change between a satellite and the surface over time. However, the slanted direction of the measurements complicates interpretation of the signal, especially in regions that are subject to multiple deformation processes. The Simultaneous and Integrated Strain Tensor Estimation from Geodetic and Satellite Deformation Measurements (SISTEM) algorithm enables decomposition into a three-dimensional velocity field through joint inversion with GNSS measurements, but has never been applied to interseismic deformation where strain rates are low. Here, we apply SISTEM for the first time to detect tectonic deformation on the Hyblean Foreland Plateau in South-East Sicily. In order to increase the signal-to-noise ratio of the DInSAR data beforehand, we reduce atmospheric InSAR noise using a weather model and combine it with a multi-directional spatial filtering technique. The resultant three-dimensional velocity field allows identification of anthropogenic, as well as tectonic deformation, with sub-centimeter accuracies in areas of sufficient GPS coverage. Our enhanced method allows for a more detailed view of ongoing deformation processes as compared to the single use of either GNSS or DInSAR only and thus is suited to improve assessments of regional seismic hazard.

Journal ArticleDOI
31 Jul 2017-Sensors
TL;DR: These steps form a set of recommendations for the installation of such geodetic ground-infrastructure, which may be of use to others wishing to establish integrated InSAR-cGNSS monitoring of VLM elsewhere.
Abstract: Continuously operating Global Navigation Satellite Systems (cGNSS) can be used to convert relative values of vertical land motion (VLM) derived from Interferometric Synthetic Aperture Radar (InSAR) to absolute values in a global or regional reference frame. Artificial trihedral corner reflectors (CRs) provide high-intensity and temporally stable reflections in SAR time series imagery, more so than naturally occurring permanent scatterers. Therefore, it is logical to co-locate CRs with cGNSS as ground-based geodetic infrastructure for the integrated monitoring of VLM. We describe the practical considerations for such co-locations using four case-study examples from Perth, Australia. After basic initial considerations such as land access, sky visibility and security, temporary test deployments of co-located CRs with cGNSS should be analysed together to determine site suitability. Signal to clutter ratios from SAR imagery are used to determine potential sites for placement of the CR. A significant concern is whether the co-location of a deliberately designed reflecting object generates unwanted multipath (reflected signals) in the cGNSS data. To mitigate against this, we located CRs >30 m from the cGNSS with no inter-visibility. Daily RMS values of the zero-difference ionosphere-free carrier-phase residuals, and ellipsoidal heights from static precise point positioning GNSS processing at each co-located site were then used to ascertain that the CR did not generate unwanted cGNSS multipath. These steps form a set of recommendations for the installation of such geodetic ground-infrastructure, which may be of use to others wishing to establish integrated InSAR-cGNSS monitoring of VLM elsewhere.

Journal ArticleDOI
TL;DR: In this paper, the authors determine three geodetic coastal mean dynamic topography (MDT) models in Norway and validate them against independent tide-gauge observations and the operational coastal ocean model NorKyst800.
Abstract: New-generation synthetic aperture radar altimetry, as implemented on CryoSat-2, observes sea surface heights in coastal areas that were previously not monitored by conventional altimetry. Therefore, CryoSat-2 is expected to improve the coastal mean dynamic topography (MDT). However, the MDT remains highly reliant on the geoid. Using new regional geoid models as well as CryoSat-2 data, we determine three geodetic coastal MDT models in Norway and validate them against independent tide-gauge observations and the operational coastal ocean model NorKyst800. The CryoSat-2 MDTs agree on the ∼3–5 cm level with both tide-gauge geodetic and ocean MDTs along the Norwegian coast. In addition, we compute geostrophic surface currents to help identifying errors in the geoid models. We find that even though the regional geoid models are all based on the latest satellite gravity data as provided by GOCE, the resulting circulation patterns differ. We demonstrate that some of these differences are due to erroneous or lack of marine gravity data. This suggests that there is significant MDT signal at spatial scales beyond GOCE, and that the geodetic approach to MDT determination benefits from the additional terrestrial gravity information provided by a regional geoid model. We also find that the border of the geographical mode mask of CryoSat-2 coincides with the Norwegian Coastal Current, making it challenging to distinguish between artifacts in the CryoSat-2 observations during mode switch and ocean signal.

Journal ArticleDOI
TL;DR: In this paper, the authors evaluated two low-cost, high sensitivity (HS) receivers, namely the u-blox LEA-6T and NEO-7P, in control surveying specifications.
Abstract: The emergence of single-frequency, navigation-type Global Navigation Satellite System receivers capable to provide carrier phase data [the so-called high sensitivity (HS) carrier phase positioning] has been steadily growing over the recent years. The main purpose of this study is to metrologically evaluate two low-cost, HS receivers, namely the u-blox LEA-6T and NEO-7P, in control surveying specifications. The evaluation was carried out within a published framework of standards and associated guidelines that are consistent with standards from the International Standards Organisation. The survey results were obtained from sufficient independent testing and proof and achieved an accuracy classification of ‘1 cm’ at 95% confidence level. This indicates that the particular type of receiver used with geodetic antennas can provide positioning results for general purpose control surveying applications that are comparable to using geodetic receivers and with a significantly lower cost.

Journal ArticleDOI
TL;DR: In this article, it was shown that the ILRS network suffers from accuracy issues due to time biases in the laser ranging observations, and these systematic effects impact the precise orbit determination of LAGEOS geodetic satellites over a 1-year analysis.



Journal ArticleDOI
TL;DR: In this paper, the authors considered the problem of nonlinear diffusion in a bounded domain Ω ⊂ R 3 with zero-flux boundary condition and showed that for any large initial datum, for any m > 1, the problem admits a global weak solution, which is uniformly bounded.

Journal ArticleDOI
TL;DR: In this article, three Geoid Slope Validation Surveys were planned by the National Geodetic Survey for validating geoid improvement gained by incorporating airborne gravity data collected by the GRAV-D project in flat, medium and rough topographic areas, respectively.
Abstract: Three Geoid Slope Validation Surveys were planned by the National Geodetic Survey for validating geoid improvement gained by incorporating airborne gravity data collected by the “Gravity for the Redefinition of the American Vertical Datum” (GRAV-D) project in flat, medium and rough topographic areas, respectively. The first survey GSVS11 over a flat topographic area in Texas confirmed that a 1-cm differential accuracy geoid over baseline lengths between 0.4 and 320 km is achievable with GRAV-D data included (Smith et al. in J Geod 87:885–907, 2013). The second survey, Geoid Slope Validation Survey 2014 (GSVS14) took place in Iowa in an area with moderate topography but significant gravity variation. Two sets of geoidal heights were computed from GPS/leveling data and observed astrogeodetic deflections of the vertical at 204 GSVS14 official marks. They agree with each other at a $${\pm }1.2\,\, \hbox {cm}$$ level, which attests to the high quality of the GSVS14 data. In total, four geoid models were computed. Three models combined the GOCO03/5S satellite gravity model with terrestrial and GRAV-D gravity with different strategies. The fourth model, called xGEOID15A, had no airborne gravity data and served as the benchmark to quantify the contribution of GRAV-D to the geoid improvement. The comparisons show that each model agrees with the GPS/leveling geoid height by 1.5 cm in mark-by-mark comparisons. In differential comparisons, all geoid models have a predicted accuracy of 1–2 cm at baseline lengths from 1.6 to 247 km. The contribution of GRAV-D is not apparent due to a 9-cm slope in the western 50-km section of the traverse for all gravimetric geoid models, and it was determined that the slopes have been caused by a 5 mGal bias in the terrestrial gravity data. If that western 50-km section of the testing line is excluded in the comparisons, then the improvement with GRAV-D is clearly evident. In that case, 1-cm differential accuracy on baselines of any length is achieved with the GRAV-D-enhanced geoid models and exhibits a clear improvement over the geoid models without GRAV-D data. GSVS14 confirmed that the geoid differential accuracies are in the 1–2 cm range at various baseline lengths. The accuracy increases to 1 cm with GRAV-D gravity when the west 50 km line is not included. The data collected by the surveys have high accuracy and have the potential to be used for validation of other geodetic techniques, e.g., the chronometric leveling. To reach the 1-cm height differences of the GSVS data, a clock with frequency accuracy of $$10^{-18}$$ is required. Using the GSVS data, the accuracy of ellipsoidal height differences can also be estimated.

01 Jan 2017
TL;DR: In this article, the authors present four new geodetic monitoring approaches in the fields of structural monitoring and geo-monitoring, and they show that IATS offer much greater potential than currently used.
Abstract: Image Assisted Total Stations (IATS) unify geodetic precision of total stations with areal coverage of images. Photogrammetric image measurement methods to detect signalized as well as non-signalized targets can be combined with functions of the total station like precise angle and distance measurements. The instruments are ideally suited for automatic and autonomous operation in monitoring systems. This thesis presents four new geodetic monitoring approaches in the fields of structural monitoring and geo-monitoring. It is shown that IATS offer much greater potential than currently used.

Journal ArticleDOI
TL;DR: In this paper, the authors derived a global zenith tropospheric delay simplified model (GZTDS), assuming that the troposphere is a nonlinear system and can be handled as a black box.
Abstract: We have derived a global zenith tropospheric delay simplified model (GZTDS), assuming that the troposphere is a nonlinear system and can be handled as a black box. The GZTDS and its variation in time can be expressed as a series of cosine components, which represent various periods of tropospheric delay changes. Undetermined coefficients are extracted by data fitting from the mean sea level historical data of the global geodetic observing system atmosphere on a 2° × 2.5° grid. A combination of our model and the Vienna Mapping Function 1 can predict slant delays for global navigation satellite system sites using the zenith angle and nearest grid coordinates as the input and generate a global slant tropospheric delay simplified model (GSTDS) and its extension. Comparisons with the zenith delays provided by the International GNSS Service at 358 sites show that the biases are between −3.36 and 2.41 cm, and the mean standard deviation is 3.46 cm for the year 2014. This result is at the same level of accuracy as the global pressure and temperature 2 wet model (GPT2w), with the GZTDS requiring no local meteorological parameters. The accuracy of GSTDS depends on the zenith angle and shows nonlinear characteristics. Several statistics of biases and standard deviations illustrate model adaptation with respect to latitude or altitude.

Journal ArticleDOI
TL;DR: In this article, a satellite-based method is presented that utilizes global geopotential models (GGMs) derived from ESA's satellite mission Gravity field and steady-state Ocean Circulation Explorer (GOCE).
Abstract: National height reference systems have conventionally been linked to the local mean sea level, observed at individual tide gauges. Due to variations in the sea surface topography, the reference levels of these systems are inconsistent, causing height datum offsets of up to ±1–2 m. For the unification of height systems, a satellite-based method is presented that utilizes global geopotential models (GGMs) derived from ESA’s satellite mission Gravity field and steady-state Ocean Circulation Explorer (GOCE). In this context, height datum offsets are estimated within a least squares adjustment by comparing the GGM information with measured GNSS/leveling data. While the GNSS/leveling data comprises the full spectral information, GOCE GGMs are restricted to long wavelengths according to the maximum degree of their spherical harmonic representation. To provide accurate height datum offsets, it is indispensable to account for the remaining signal above this maximum degree, known as the omission error of the GGM. Therefore, a combination of the GOCE information with the high-resolution Earth Gravitational Model 2008 (EGM2008) is performed. The main contribution of this paper is to analyze the benefit, when high-frequency topography-implied gravity signals are additionally used to reduce the remaining omission error of EGM2008. In terms of a spectral extension, a new method is proposed that does not rely on an assumed spectral consistency of topographic heights and implied gravity as is the case for the residual terrain modeling (RTM) technique. In the first step of this new approach, gravity forward modeling based on tesseroid mass bodies is performed according to the Rock–Water–Ice (RWI) approach. In a second step, the resulting full spectral RWI-based topographic potential values are reduced by the effect of the topographic gravity field model RWI_TOPO_2015, thus, removing the long to medium wavelengths. By using the latest GOCE GGMs, the impact of topography-implied gravity signals on the estimation of height datum offsets is analyzed in detail for representative GNSS/leveling data sets in Germany, Austria, and Brazil. Besides considerable changes in the estimated offset of up to 3 cm, the conducted analyses show that significant improvements of 30–40% can be achieved in terms of a reduced standard deviation and range of the least squares adjusted residuals.

Journal ArticleDOI
TL;DR: In this article, the authors modeled the 17 November 2015 M w.6 earthquake in Leucas (Leukas, Lefkas, or Lefkada) Island in the Ionian Sea, western Aegean arc, was modeled using teleseismic long-period P and SH waveforms and Global Positioning System (GPS) slip vectors.
Abstract: The 17 November 2015 M w 6.6 earthquake in Leucas (Leukas, Lefkas, or Lefkada) Island in the Ionian Sea, western Aegean arc, was modeled using teleseismic long‐period P and SH waveforms and Global Positioning System (GPS) slip vectors. Detailed fault modeling in this region, characterized by intense seismicity and deformation rates, usually assigned to the Cephalonia Transform fault, is a challenge because of the unfavorable observation system. To overcome this problem, we independently analyzed seismological and geodetic data and then jointly evaluated the results. The adopted model indicates that the 2015 earthquake can be assigned to a shallow strike‐slip fault, with a minor component of thrusting, along the southwest coasts of Leucas and with relatively high slip for the area. Additionally, mostly low‐angle fault solutions satisfying geodetic observations were identified but were not further investigated. The preferred fault model permits recognition that recent M w>6.0 earthquakes in the area, some marked by extreme peak ground accelerations, are associated with a string of strike slip (or oblique slip), occasionally overlapping fault segments with variable characteristics, along or close to the west coasts of Leucas and Cephalonia (Keffalinia, Kefalonia) Islands, whereas the catastrophic 1953 M w 7.2 Cephalonia and other previous major earthquakes were associated with thrust faulting. [Electronic Supplement:][1] Table of the Global Positioning System (GPS)‐derived displacements and figures of P ‐wave first‐motion polarities, comparison of earthquake source parameters, GPS time series, 2D projections of geodetic solutions, the variance–covariance matrix of the geodetic solution, and the geodetic variable slip model. [1]: http://www.bssaonline.org/lookup/suppl/doi:10.1785/0120160080/-/DC1

Journal ArticleDOI
TL;DR: In this article, the authors show that the azimuthal and elevation-dependent code phase variations can reach maximum magnitudes of 0.2-0.3m for geodetic antennas and up to maximum values of 1.8m for small navigation antennas.
Abstract: Precise navigation and geodetic coordinate determination rely on accurate GNSS signal reception. Thus, the receiver antenna properties play a crucial role in the GNSS error budget. For carrier phase observations, a spherical radiation pattern represents an ideal receiver antenna behaviour. Deviations are known as phase centre corrections. Due to synergy of carrier and code phase, similar effects on the code exist named code phase variations (CPV). They are mainly attributed to electromagnetic interactions of several active and passive elements of the receiver antenna. Consequently, a calibration and estimation strategy is necessary to determine the shape and magnitudes of the CPV. Such a concept was proposed, implemented and tested at the Institut fur Erdmessung. The applied methodology and the obtained results are reported and discussed in this paper. We show that the azimuthal and elevation-dependent CPV can reach maximum magnitudes of 0.2–0.3 m for geodetic antennas and up to maximum values of 1.8 m for small navigation antennas. The obtained values are validated by dedicated tests in the observation and coordinate domain. As a result, CPV are identified to be antenna- related properties that are independent from location and time of calibration. Even for geodetic antennas when forming linear combinations the CPV effect can be amplified to values of 0.4–0.6 m. Thus, a significant fractional of the Melbourne–Wubbena linear combination. A case study highlights that incorrect ambiguity resolution can occur due to neglecting CPV corrections. The impact on the coordinates which may reach up to the dm level is illustrated.

Journal ArticleDOI
TL;DR: In this paper, the authors make precise repeated geodetic ties between tide gauges and satellite positioning system equipment to estimate changes in sea and land levels with location and time with respect to time.
Abstract: Accurate measurements of changes in sea and land levels with location and time require making precise, repeated geodetic ties between tide gauges and satellite positioning system equipment.

Journal ArticleDOI
TL;DR: In this paper, the average standard deviation on slip rate of ∼1:5 mm=yr over 542 grid cells (average area of 1304 km=cell) was found.
Abstract: Developing a comprehensive model of tectonic continental deformation requires assessing (1) fault-slip rates, (2) off-fault deformation rates, and (3) realistic uncertainties. Fault-slip rates can be estimated by modeling fault systems, based on space geodetic measurements of active surface ground displacement such as Global Navigation Satellite Systems (GNSS) and Interferometric Synthetic Aperture Radar (InSAR). Geodetic slip-rate estimates may vary widely due to measurement and epistemic (model) uncertainties, presenting a challenge for both estimating slip rates and accurately characterizing uncertainties: models may vary in the number of faults represented and the precise location of those faults. Since 2003, 33 published geodetic deformation models have produced slip-rate estimates within California. Variability among these models represents variability among valid model choices and may be considered a proxy for model uncertainties in geodetic slip-rate estimates. To enable rigorous comparison between geodetic slip-rate estimates, I combine models on a georeferenced grid and find an average standard deviation on slip rate of ∼1:5 mm=yr over 542 grid cells (average area of 1304 km=cell). Furthermore, the average strike-slip and tensile-slip rates over all 33 studies, in each grid cell, may then be projected onto Unified California Earthquake Rupture Forecast (UCERF) v.3.1 faults for a single summary model of geodetic slip rates. Slip rates that do not project perfectly onto UCERF3.1 faults form a summary model of off-modeled-fault (OMF) deformation. Most of this OMF deformation occurs in grid cells that intersect UCERF3.1 faults, suggesting that off-fault deformation may be, in part, a product of epistemic uncertainty in geodetic slip-rate estimates and may be physically accommodated on, or very near, UCERF faults. Electronic Supplement: Figures showing the results of the geodetic slip-rate analysis in California on different geographic grid sizes.

Journal ArticleDOI
TL;DR: In this paper, the Global Navigation Satellite System (GNSS)-derived vertical velocities contribute to the correction of tide gauge (TG) measurements used for the sea level rise estimation in Greece.
Abstract: In this study, we show how the Global Navigation Satellite System (GNSS)-derived vertical velocities contribute to the correction of tide gauge (TG) measurements used for the sea level rise estimation in Greece. Twelve sites with records of local sea level heights are processed in order to estimate their trend. Certain error sources related to TGs, e.g. equipment changes, data noise, may lead to biased or erroneous estimations of the sea level height. Therefore, it would be preferred to follow a robust estimation technique in order to detect and reduce outlier effects. The geocentric sea level rise is estimated by taking into account the land vertical motion of co-located GNSS permanent stations at the Hellenic area. TGs measure the height of the water relative to a monitored geodetic benchmark on land. On the other hand, using GNSS-based methods the vertical land motion can be derived. By means of extended models fitted to the GNSS time-series position, obtained from seven years of continuous dat...

Journal ArticleDOI
TL;DR: In this paper, a method of sea level data fusion is proposed to enable modeling of the impact of present and future sea level changes on the coast on the open ocean and extrapolation over the coastal zones.
Abstract: Changes in the height of the ocean can be described through the relative and absolute sea level changes depending on the geodetic reference the sea level records are related to. Satellite altimetry provides absolute sea level (ASL) measurements related to the global geodetic reference, whereas tide gauges provide relative sea level (RSL) measurements related to the adjacent land. This study aims at computing the ASL surfaces for different time epochs from combined satellite altimeter and tide gauge records. A method of sea level data fusion is proposed to enable modeling of the impact of present and future sea level changes on the coast. Sea surface modeling was investigated for ten different gridding methods commonly used for the interpolation of altimeter data over the open ocean and extrapolation over the coastal zones. The performance of gridding methods was assessed based on the comparison of the gridded altimeter data and corrected tide gauge measurements. Finally, the sea level surfaces rel...

Journal ArticleDOI
TL;DR: In this paper, the authors present special aspects of geodetic monitoring of deformations of buildings surrounding an underground construction and discuss the question of establishment, design and control of a geodesic control network.