A Gaussian Variogram‐Based Model of Total Electron Content in the Regional Ionosphere of China

Abstract This study utilizes ionospheric total electron contents (TECs) data from China and its surrounding areas to compute the regional ionospheric semi‐variance using the Gaussian variogram. The regional ionospheric model is then constructed by introducing an additional stochastic term, named adj...

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Main Authors: Ang Liu, Zishen Li, Ningbo Wang, Ang Li, Zhouyu Zhang, Yunlong Zhang
Format: Article
Language:English
Published: Wiley 2024-11-01
Series:Space Weather
Subjects:
Online Access:https://doi.org/10.1029/2024SW004047
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author Ang Liu
Zishen Li
Ningbo Wang
Ang Li
Zhouyu Zhang
Yunlong Zhang
author_facet Ang Liu
Zishen Li
Ningbo Wang
Ang Li
Zhouyu Zhang
Yunlong Zhang
author_sort Ang Liu
collection DOAJ
description Abstract This study utilizes ionospheric total electron contents (TECs) data from China and its surrounding areas to compute the regional ionospheric semi‐variance using the Gaussian variogram. The regional ionospheric model is then constructed by introducing an additional stochastic term, named adjusted Spherical Harmonics Adding KrigING method (SHAKING), in which the stochastic Vertical Total Electron Content estimated using Kriging interpolation based on Ionospheric Variogram Model Parameters (IVMP) predict model. In the IVMP prediction model, two notable periodic patterns, that is, diurnal and annual signals with periods of 365.25/i days and 24/j hours, are recognized as Fourier series decompositions. These patterns capture the regular daily and yearly periodic variations in variogram parameters, and the IVMP prediction model is established using harmonic estimation methods. IVMP‐SHAKING is employed to generate the regional ionospheric map in China using multi‐GNSS data from 27 reference stations during days of the year 150–250 in 2022, with 14 rover stations used for evaluation. Results indicate that the proposed model exhibits a standard deviation of 4.85 TECu compared to the difference of slant TEC extracted from rover stations. Compared to existing models, including BDS‐3 broadcast ionospheric model (BDGIM), GPS broadcast model (Klobuchar), Galileo broadcast model (NeQuickG) and post‐processing Global Ionospheric Map released by IGS (IGSG), the accuracy of IVMP‐SHAKING improves by 6%–52%. Additionally, the Standard Point Positioning performance with different ionospheric corrections is analyzed on test stations. Results demonstrate that the horizontal and vertical positioning accuracy of the IVMP‐SHAKING model improves by 31%–55% and 16%–33%, respectively, compared to other three solutions.
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spelling doaj-art-1c4197c3ee5c4637aad9569d2f3bec4a2025-01-14T16:26:52ZengWileySpace Weather1542-73902024-11-012211n/an/a10.1029/2024SW004047A Gaussian Variogram‐Based Model of Total Electron Content in the Regional Ionosphere of ChinaAng Liu0Zishen Li1Ningbo Wang2Ang Li3Zhouyu Zhang4Yunlong Zhang5Aerospace Information Research Institute Chinese Academy of Sciences Beijing ChinaAerospace Information Research Institute Chinese Academy of Sciences Beijing ChinaAerospace Information Research Institute Chinese Academy of Sciences Beijing ChinaAerospace Information Research Institute Chinese Academy of Sciences Beijing ChinaAerospace Information Research Institute Chinese Academy of Sciences Beijing ChinaChina Railway Design Corporation Tianjin ChinaAbstract This study utilizes ionospheric total electron contents (TECs) data from China and its surrounding areas to compute the regional ionospheric semi‐variance using the Gaussian variogram. The regional ionospheric model is then constructed by introducing an additional stochastic term, named adjusted Spherical Harmonics Adding KrigING method (SHAKING), in which the stochastic Vertical Total Electron Content estimated using Kriging interpolation based on Ionospheric Variogram Model Parameters (IVMP) predict model. In the IVMP prediction model, two notable periodic patterns, that is, diurnal and annual signals with periods of 365.25/i days and 24/j hours, are recognized as Fourier series decompositions. These patterns capture the regular daily and yearly periodic variations in variogram parameters, and the IVMP prediction model is established using harmonic estimation methods. IVMP‐SHAKING is employed to generate the regional ionospheric map in China using multi‐GNSS data from 27 reference stations during days of the year 150–250 in 2022, with 14 rover stations used for evaluation. Results indicate that the proposed model exhibits a standard deviation of 4.85 TECu compared to the difference of slant TEC extracted from rover stations. Compared to existing models, including BDS‐3 broadcast ionospheric model (BDGIM), GPS broadcast model (Klobuchar), Galileo broadcast model (NeQuickG) and post‐processing Global Ionospheric Map released by IGS (IGSG), the accuracy of IVMP‐SHAKING improves by 6%–52%. Additionally, the Standard Point Positioning performance with different ionospheric corrections is analyzed on test stations. Results demonstrate that the horizontal and vertical positioning accuracy of the IVMP‐SHAKING model improves by 31%–55% and 16%–33%, respectively, compared to other three solutions.https://doi.org/10.1029/2024SW004047ionospheric variogram model parameters (IVMP)adjusted spherical harmonics adding KrigING method (SHAKING)fast fourier transform (FFT)total electron content (TEC)
spellingShingle Ang Liu
Zishen Li
Ningbo Wang
Ang Li
Zhouyu Zhang
Yunlong Zhang
A Gaussian Variogram‐Based Model of Total Electron Content in the Regional Ionosphere of China
Space Weather
ionospheric variogram model parameters (IVMP)
adjusted spherical harmonics adding KrigING method (SHAKING)
fast fourier transform (FFT)
total electron content (TEC)
title A Gaussian Variogram‐Based Model of Total Electron Content in the Regional Ionosphere of China
title_full A Gaussian Variogram‐Based Model of Total Electron Content in the Regional Ionosphere of China
title_fullStr A Gaussian Variogram‐Based Model of Total Electron Content in the Regional Ionosphere of China
title_full_unstemmed A Gaussian Variogram‐Based Model of Total Electron Content in the Regional Ionosphere of China
title_short A Gaussian Variogram‐Based Model of Total Electron Content in the Regional Ionosphere of China
title_sort gaussian variogram based model of total electron content in the regional ionosphere of china
topic ionospheric variogram model parameters (IVMP)
adjusted spherical harmonics adding KrigING method (SHAKING)
fast fourier transform (FFT)
total electron content (TEC)
url https://doi.org/10.1029/2024SW004047
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