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Zenith Tropospheric Delay

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lightbulbAbout this topic
Zenith Tropospheric Delay (ZTD) refers to the time delay experienced by signals, such as those from satellites, as they pass through the Earth's troposphere. It is a critical factor in satellite positioning and meteorology, affecting the accuracy of measurements in Global Navigation Satellite Systems (GNSS) due to atmospheric refraction.
lightbulbAbout this topic
Zenith Tropospheric Delay (ZTD) refers to the time delay experienced by signals, such as those from satellites, as they pass through the Earth's troposphere. It is a critical factor in satellite positioning and meteorology, affecting the accuracy of measurements in Global Navigation Satellite Systems (GNSS) due to atmospheric refraction.

Key research themes

1. How can atmospheric numerical weather data improve the accuracy of Zenith Tropospheric Delay estimation from GNSS observations?

This research area investigates the integration and performance of numerical weather prediction (NWP) or reanalysis datasets such as ERA5, GDAS, or NCEP in modeling and estimating Zenith Tropospheric Delay (ZTD) components. It matters because tropospheric delay modeling critically affects GNSS positioning accuracy, and traditional empirical models often lack spatial and temporal resolution to capture hydrostatic and wet delay variability precisely, especially in regions with high atmospheric variability. Using high-resolution numerical atmospheric data could refine a priori ZTD and Zenith Hydrostatic Delay (ZHD) estimates, improving the precision of GNSS tropospheric corrections and convergence of precise point positioning (PPP) approaches.

Key finding: This study demonstrates that ZHD estimates based on ERA5 surface pressure using a linear regression model (LRM) and the Saastamoinen model achieve identical accuracy with RMS error of 2.3 mm, outperforming the GPT3 model with... Read more
Key finding: This paper finds that ZTDs derived from the GDAS NWM have root mean square differences of about 3.0 cm against high-precision IGS tropospheric solutions, with biases up to 4.5 cm mainly due to relative humidity interpolation... Read more
Key finding: The study shows that PPP-derived ZTDs from Nigerian GNSS network data match closely with Numerical Weather Model (NCEP II) ray-traced ZTDs, with mean biases ranging from 6.4 mm to 23.9 mm and standard deviations of 33.1 to... Read more
Key finding: Using high-resolution NWP data with 2.5 km grid spacing over Scandinavia and surrounding regions, the study quantified differential ZTD values up to 18 cm over baselines up to 20 km, highlighting significant small-scale... Read more
Key finding: This work investigates PPP-RTK tropospheric delay modeling and finds that while Zenith Hydrostatic Delays (ZHD) can be modeled accurately a priori, Zenith Wet Delays (ZWD) require epoch-wise estimation. However, integrating... Read more

2. What is the impact of tropospheric horizontal gradients and small-scale spatial variability on Zenith Tropospheric Delay accuracy and GNSS positioning?

This theme explores the estimation, origin, and modeling of tropospheric horizontal delay gradients which represent azimuthal asymmetry and spatial decorrelation of tropospheric delay at GNSS stations. Since traditional ZTD models treat the atmosphere as azimuthally symmetric, understanding gradients is key for mitigating residual tropospheric errors impacting high-precision positioning such as PPP and PPP-RTK. Additionally, local topography and atmospheric dynamics causing variable lateral delay components are studied to inform gradient parameterization and improve the physical realism of tropospheric correction models.

Key finding: Analysis of horizontal tropospheric gradients from GNSS data across 52 stations globally reveals stable gradient directions over one year often aligning with local topographic features, such as pointing inland opposite large... Read more
Key finding: The study quantifies small-scale spatial decorrelation of tropospheric delay at baseline lengths under 20 km using high-resolution NWPs. They document significant differential ZTD values (up to 18 cm), indicating that... Read more
Key finding: Using one month of global GPS data from 10 diverse IGS stations, the study shows that neglecting tropospheric horizontal gradients biases total tropospheric delay estimates by up to ±2.14 mm on average and leads to degraded... Read more
Key finding: By analyzing 4 years of GNSS ZTD data over East Africa, including gradient estimates, the study finds that ZTD exhibits seasonal and spatial variability correlated with meteorological conditions, with horizontal gradients... Read more
Key finding: The research identifies that variations in Zenith Wet Delay are related to atmospheric water vapor variability, which is spatially and temporally heterogeneous and associated with gradients in ERA5 variables. The linear... Read more

3. How do higher-order ionospheric effects and relativistic atmospheric models influence the estimation of Zenith Tropospheric Delay in GNSS and VLBI?

This theme delves into effects beyond the classical first-order ionospheric delay corrections, including high-order ionospheric (HOI) delays and special relativistic effects (e.g., Fresnel-Fizeau effects) in signal propagation through the moving atmosphere. The significance lies in assessing whether neglecting HOI leads to biases in tropospheric parameters estimated from GNSS, and whether improvements in relativistic tropospheric delay modeling can refine time delay estimates in Very Long Baseline Interferometry (VLBI) and GNSS data processing. These subtle corrections become increasingly relevant for millimeter-level geodetic and atmospheric sensing applications.

Key finding: This regional case study shows that high-order ionospheric effects cause biases up to 6 mm in Zenith Tropospheric Delay (ZTD) and up to 12 mm in horizontal tropospheric gradients estimated from GPS data. HOI effects are... Read more
Key finding: This paper provides the first rigorous relativistic derivation of atmospheric delay including the Fresnel–Fizeau effect due to Earth's atmosphere motion through the barycentric celestial reference system. It theoretically... Read more
Key finding: While not focusing exclusively on ionospheric high-order effects, this comparative analysis shows that different PPP software estimate ZTD with millimeter-level consistency, implying that residual effects such as HOI or... Read more
Key finding: Focused on ionospheric delay estimation from dual-frequency Galileo E5 signals, this paper underscores the challenge that tropospheric delay (frequency-independent) remains uncorrected and must be modeled separately. Although... Read more

All papers in Zenith Tropospheric Delay

TUM) in 1993. At Trimble Terrasat -where he is working on GPS algorithms since more than ten years -he is responsible for the algorithm development team. His professional interest is focused on high-precision real-time kinematic... more
Section 4.2.1 contains material that is republished with kind permission.
1.2 EPN Tracking Stations ROB operates four permanent GNSS tracking stations: BRUS/BRUX, DENT, DOUR and WARE; all are streaming real-time data. On, Feb. 14, 2012, after more than almost 19 years, ROB stopped operating the EPN/IGS station... more
This study assesses the precision of zenith tropospheric delay (ZTD) obtained through triple-constellation global navigation satellite system (GNSS) precise point positioning (PPP). Various ZTD estimates are obtained as by-products from... more
The SIRGAS-CON network currently has more than 450 continuous GNSS stations, and it is used for geodetic purposes. In atmospheric studies, it is used for ionospheric monitoring and for the estimation of zenith tropospheric delays (ZTDs).... more
Using data from the Continuously Operating Reference Stations (CORS), recorded in March 2010 during severe weather in the Victoria State, in southern Australia, sensitivity and statistical results of GPS tomography retrievals (water... more
The use of high spatial and temporal resolution data assimilation and forecasting around Australia’s capital cities and rural land provided an opportunity to improve moisture analysis and forecasting. To support this endeavour, RMIT... more
HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or... more
An extensive validation of line-of-sight tropospheric Slant Total Delays (STD) from Global Navigation Satellite Systems (GNSS), ray-tracing in Numerical Weather Prediction Models (NWM) fields and microwave Water Vapour Radiometer (WVR) is... more
This study aims at introducing two conservative thermodynamic variables (moist-air entropy potential temperature and total water content) into a one-dimensional variational data assimilation system (1D-Var) to demonstrate the benefit for... more
In this study, remotely sensed soil moisture data from the Advanced Scatterometer (ASCAT) on board the Meteorological Operational (MetOp) series of satellites are assimilated in the regional forecasting model, Aire Limit ee Adaptation... more
Using data from the Continuously Operating Reference Stations (CORS), recorded in March 2010 during severe weather in the Victoria State, in southern Australia, sensitivity and statistical results of GPS tomography retrievals (water... more
this is maybe not sufficiently well articulated. Thus in the introduction is included the following text: Use of GNSS derived Water Vapour (WV) in Europe is a well established techniques but there exist a large difference on regional... more
The urban heat island (UHI) effect can contribute to extreme heat exposure. This can be detrimental to human health. In this paper, we propose a method to estimate air temperature to evaluate the spatial distribution and to monitor the... more
The use of high spatial and temporal resolution data assimilation and forecasting around Australia's capital cities and rural land provided an opportunity to improve moisture analysis and forecasting. To support this endeavour, RMIT... more
The use of high spatial and temporal resolution data assimilation and forecasting around Australia's capital cities and rural land provided an opportunity to improve moisture analysis and forecasting. To support this endeavour, RMIT... more
The use of high spatial and temporal resolution data assimilation and forecasting around Australia's capital cities and rural land provides an opportunity to improve moisture analysis and forecasting. To support this endeavour, RMIT... more
The neutral atmosphere (or troposphere) causes refraction in radio frequency signals, which results in errors in Global Navigation Satellite Systems (GNSS) measurements. In meteorology, this effect can represent important measurements of... more
The satellite observations are processed to estimate the zenith/slant tropospheric delays. These delays can be divided into the hydrostatic (ZHD) and wet (ZWD) parts. The latter one is closely related to the water vapour content of the... more
The delay of satellite signals broadcasted by Global Navigation Satellite System (GNSS) provides unique atmospheric observation which endorses numerial weather prediction from global to limited-area models. Due to the possibility of its... more
In the last few years, many studies claimed that machine learning tools would soon overperform the classical conceptual models in extreme rainfall events forecasting. In order to better investigate this statement, we implement advanced... more
Remote sensing of the atmosphere using Global Navigational Satellite Systems (GNSS), so called GNSS meteorology, provides homogenous products of spatial and temporal resolution higher than any other troposphere sensing technique. A... more
The use of high spatial and temporal resolution data assimilation and forecasting around Australia’s capital cities and rural land provided an opportunity to improve moisture analysis and forecasting. To support this endeavour, RMIT... more
Long series of Zenith Wet Delay (ZWD) obtained as part of a homogeneous reprocessing of Global Positioning System solutions constitute a reliable set of data to be assimilated into climate models. The correct stochastic properties, i.e.... more
The impact assessment of GNSS ZTD assimilation was carried out in two parts i.e. studying the impact on the model analysis and studying the impact on model forecasts. Impact on Analysis Figure 4 shows the distributions of the analysis... more
Tropospheric delay is a major error caused by atmospheric refraction in Global Navigation Satellite System (GNSS) positioning. The study evaluates the potential of the European Centre for Medium-range Weather Forecast (ECMWF) Reanalysis 5... more
A novel integrated water vapor (IWV) product from TROPOspheric Monitoring Instrument (TROPOMI) is validated together with a Global Ozone Monitoring Instrument-2 (GOME-2) standard product. As reference, ground-based Global Navigation... more
The calibration of time transfer links is mandatory in the context of international collaboration for the realization of International Atomic Time. In this paper, we present the results of the calibration of the GPS time transfer link... more
In this paper, to investigate the usability of Continuously Operating Reference Stations managed by the Istanbul Water and Sewerage Administration (ISKI CORS) for weather prediction studies, the effects of altitude and distance on Zenith... more
Hourly cycling four-dimensional variational data assimilation (4D-Var) was implemented operationally in the Met Office's convective-scale UKV forecast model in July 2017, replacing the previous three-hourly cycling three-dimensional... more
The Global Positioning System (GPS) based on satellites and the networks of dual frequency receivers are actively used for geodetic and geophysical applications, as well as for studying the ionosphere and troposphere. The atmospheric... more
The Integrated Precipitable Water Vapour (IPWV) parameter is applied to the description of atmospheric changes in the area of climatology, meteorology and geophysics. This paper presents research results concerning the determination of... more
This paper firstly analyses the precision of tropospheric zenith total delay (ZTD) values obtained from the empirical models GPT2 and GPT2w, and the numerical weather models (NWM) from Australian Bureau of Meteorology (BoM), and European... more
by tan le
The use of high spatial and temporal resolution data assimilation and forecasting around Australia's capital cities and rural land provides an opportunity to improve moisture analysis and forecasting. To support this endeavour, RMIT... more
The Global Navigation Satellite System (GNSS) can be used to derive accurately the Zenith Tropospheric Delay (ZTD) under allweather conditions. The derived ZTDs play a vital role in climate studies, weather forecasting and are... more
by Piet Termonia and 
1 more
The newly developed land surface scheme SUR-FEX (SURFace EXternalisée) is implemented into a limitedarea numerical weather prediction model running operationally in a number of countries of the ALADIN and HIRLAM consortia. The primary... more
Validation of the Integrated Water Vapour (IWV) from Sentinel-3 Ocean and Land Colour Instrument (OLCI) was performed as a part of the "ESA/Copernicus Space Component Validation for Land Surface Temperature, Aerosol Optical Depth and... more
In this paper an experimental analysis is carried out in order to compare GPS baseline solutions obtained by various commercial processing software. GPS data was taken from the Data Centers of the Euref Permanent Network and the relative... more
The operational ALADIN-France 3D-Var system is based on static background error covariances calculated off-line during a few week past period. In this study, the impact of an online updated specification of background error covariances is... more
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