Improving atmospheric pressure vertical correction model using Gaussian function

The Zenith Hydrostatic Delay (ZHD) is essential for high-precision Global Navigation Satellite System (GNSS) and Very Long Baseline Interferometry (VLBI) data processing. Accurate estimation of ZHD relies on in situ atmospheric pressure, which is primarily variable in the vertical direction. Current...

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Main Authors: Baoshuang Zhang, Junyu Li, Lilong Liu, Yibin Yao, Liangke Huang, Chao Ren, Hongchang He, Tengxu Zhang, Yuxin Wang
Format: Article
Language:English
Published: KeAi Communications Co., Ltd. 2025-01-01
Series:Geodesy and Geodynamics
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Online Access:http://www.sciencedirect.com/science/article/pii/S1674984724000661
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author Baoshuang Zhang
Junyu Li
Lilong Liu
Yibin Yao
Liangke Huang
Chao Ren
Hongchang He
Tengxu Zhang
Yuxin Wang
author_facet Baoshuang Zhang
Junyu Li
Lilong Liu
Yibin Yao
Liangke Huang
Chao Ren
Hongchang He
Tengxu Zhang
Yuxin Wang
author_sort Baoshuang Zhang
collection DOAJ
description The Zenith Hydrostatic Delay (ZHD) is essential for high-precision Global Navigation Satellite System (GNSS) and Very Long Baseline Interferometry (VLBI) data processing. Accurate estimation of ZHD relies on in situ atmospheric pressure, which is primarily variable in the vertical direction. Current atmospheric pressure is either site-specific or has limited spatial coverage, necessitating vertical corrections for broader applicability. This study introduces a model that uses a Gaussian function for the vertical correction of atmospheric pressure when in situ meteorological observations are unavailable. Validation with the fifth-generation European Centre for Medium-Range Weather Forecasts reanalysis (ERA5) reveals an average Bias and RMS for the new model of 0.31 hPa and 2.96 hPa, respectively. This corresponds to improvements of 37.5% and 80.3% in terms of RMS compared to two commonly used models (T0 and Tv models) that require in situ meteorological observations, respectively. Additional validation with radiosonde data shows an average Bias and RMS of 1.85 hPa and 4.87 hPa, corresponding to the improvement of 42.8% and 71.1% in RMS compared with T0 and Tv models, respectively. These accuracies are sufficient for calculating ZHD to an accuracy of 1 mm by performing atmospheric pressure vertical correction. The new model can correct atmospheric pressure from meteorological stations or numerical weather forecasts to different heights of the troposphere.
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institution Kabale University
issn 1674-9847
language English
publishDate 2025-01-01
publisher KeAi Communications Co., Ltd.
record_format Article
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spelling doaj-art-ba802b7909ed4e84a641e9234110b4a82025-01-13T04:18:35ZengKeAi Communications Co., Ltd.Geodesy and Geodynamics1674-98472025-01-011616774Improving atmospheric pressure vertical correction model using Gaussian functionBaoshuang Zhang0Junyu Li1Lilong Liu2Yibin Yao3Liangke Huang4Chao Ren5Hongchang He6Tengxu Zhang7Yuxin Wang8College of Geomatics and Geoinformation, Guilin University of Technology, Guilin 541004, ChinaCollege of Geomatics and Geoinformation, Guilin University of Technology, Guilin 541004, China; Guangxi Key Laboratory of Spatial Information and Geomatics, Guilin 541004, China; Corresponding author. College of Geomatics and Geoinformation, Guilin University of Technology, Guilin 541004, China.College of Geomatics and Geoinformation, Guilin University of Technology, Guilin 541004, ChinaSchool of Geodesy and Geomatics, Wuhan University, Wuhan 430079, ChinaCollege of Geomatics and Geoinformation, Guilin University of Technology, Guilin 541004, ChinaCollege of Geomatics and Geoinformation, Guilin University of Technology, Guilin 541004, ChinaCollege of Geomatics and Geoinformation, Guilin University of Technology, Guilin 541004, ChinaSchool of Resources and Environmental Science and Engineering, Hubei University of Science and Technology, Xianning 437100, ChinaCollege of Geomatics and Geoinformation, Guilin University of Technology, Guilin 541004, ChinaThe Zenith Hydrostatic Delay (ZHD) is essential for high-precision Global Navigation Satellite System (GNSS) and Very Long Baseline Interferometry (VLBI) data processing. Accurate estimation of ZHD relies on in situ atmospheric pressure, which is primarily variable in the vertical direction. Current atmospheric pressure is either site-specific or has limited spatial coverage, necessitating vertical corrections for broader applicability. This study introduces a model that uses a Gaussian function for the vertical correction of atmospheric pressure when in situ meteorological observations are unavailable. Validation with the fifth-generation European Centre for Medium-Range Weather Forecasts reanalysis (ERA5) reveals an average Bias and RMS for the new model of 0.31 hPa and 2.96 hPa, respectively. This corresponds to improvements of 37.5% and 80.3% in terms of RMS compared to two commonly used models (T0 and Tv models) that require in situ meteorological observations, respectively. Additional validation with radiosonde data shows an average Bias and RMS of 1.85 hPa and 4.87 hPa, corresponding to the improvement of 42.8% and 71.1% in RMS compared with T0 and Tv models, respectively. These accuracies are sufficient for calculating ZHD to an accuracy of 1 mm by performing atmospheric pressure vertical correction. The new model can correct atmospheric pressure from meteorological stations or numerical weather forecasts to different heights of the troposphere.http://www.sciencedirect.com/science/article/pii/S1674984724000661Atmospheric pressureVertical correctionZenith hydrostatic delay (ZHD)Gauss functionERA5
spellingShingle Baoshuang Zhang
Junyu Li
Lilong Liu
Yibin Yao
Liangke Huang
Chao Ren
Hongchang He
Tengxu Zhang
Yuxin Wang
Improving atmospheric pressure vertical correction model using Gaussian function
Geodesy and Geodynamics
Atmospheric pressure
Vertical correction
Zenith hydrostatic delay (ZHD)
Gauss function
ERA5
title Improving atmospheric pressure vertical correction model using Gaussian function
title_full Improving atmospheric pressure vertical correction model using Gaussian function
title_fullStr Improving atmospheric pressure vertical correction model using Gaussian function
title_full_unstemmed Improving atmospheric pressure vertical correction model using Gaussian function
title_short Improving atmospheric pressure vertical correction model using Gaussian function
title_sort improving atmospheric pressure vertical correction model using gaussian function
topic Atmospheric pressure
Vertical correction
Zenith hydrostatic delay (ZHD)
Gauss function
ERA5
url http://www.sciencedirect.com/science/article/pii/S1674984724000661
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