Deep Learning-Based Vertical Decomposition of Ionospheric TEC into Layered Electron Density Profiles

This study proposes a deep learning-based vertical decomposition model for ionospheric Total Electron Content (TEC), which establishes a nonlinear mapping from macroscale TEC data to vertically layered electron density (Ne) spanning 60–800 km by integrating geomagnetic indices (AE, SYM-H) and solar...

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Main Authors: Jialiang Zhang, Jianxiang Zhang, Zhou Chen, Jingsong Wang, Cunqun Fan, Yan Guo
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Atmosphere
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Online Access:https://www.mdpi.com/2073-4433/16/5/598
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author Jialiang Zhang
Jianxiang Zhang
Zhou Chen
Jingsong Wang
Cunqun Fan
Yan Guo
author_facet Jialiang Zhang
Jianxiang Zhang
Zhou Chen
Jingsong Wang
Cunqun Fan
Yan Guo
author_sort Jialiang Zhang
collection DOAJ
description This study proposes a deep learning-based vertical decomposition model for ionospheric Total Electron Content (TEC), which establishes a nonlinear mapping from macroscale TEC data to vertically layered electron density (Ne) spanning 60–800 km by integrating geomagnetic indices (AE, SYM-H) and solar activity parameters (F10.7). Utilizing global TEC grid data (spatiotemporal resolution: 1 h/5.625° × 2.8125°) provided by the International GNSS Service (IGS), a Multilayer Perceptron (MLP) model was developed, taking spatiotemporal coordinates, altitude, and space environment parameters as inputs to predict logarithmic electron density ln(Ne). Experimental validation against COSMIC-2 radio occultation observations in 2019 demonstrates the model’s capability to capture ionospheric vertical structures, with a prediction performance significantly outperforming the International Reference Ionosphere model IRI-2020: root mean square error (RMSE) decreased by 34.16%, and the coefficient of determination (R<sup>2</sup>) increased by 28.45%. This method overcomes the reliance of traditional electron density inversion on costly radar or satellite observations, enabling high-spatiotemporal-resolution global ionospheric profile reconstruction using widely available GNSS-TEC data. It provides a novel tool for space weather warning and shortwave communication optimization. Current limitations include insufficient physical interpretability and prediction uncertainty in GNSS-sparse regions, which could be mitigated in future work through the integration of physical constraints and multi-source data assimilation.
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spelling doaj-art-86a6e13837ab442da12ef67c72270cdb2025-08-20T03:14:35ZengMDPI AGAtmosphere2073-44332025-05-0116559810.3390/atmos16050598Deep Learning-Based Vertical Decomposition of Ionospheric TEC into Layered Electron Density ProfilesJialiang Zhang0Jianxiang Zhang1Zhou Chen2Jingsong Wang3Cunqun Fan4Yan Guo5School of Mathematics and Computer Sciences, Nanchang University, Nanchang 330031, ChinaInstitute of Space Science and Technology, Nanchang University, Nanchang 330031, ChinaInstitute of Space Science and Technology, Nanchang University, Nanchang 330031, ChinaKey Laboratory of Space Weather, National Center for Space Weather, China, Meteorological Administration, Beijing 100081, ChinaKey Laboratory of Space Weather, National Center for Space Weather, China, Meteorological Administration, Beijing 100081, ChinaKey Laboratory of Space Weather, National Center for Space Weather, China, Meteorological Administration, Beijing 100081, ChinaThis study proposes a deep learning-based vertical decomposition model for ionospheric Total Electron Content (TEC), which establishes a nonlinear mapping from macroscale TEC data to vertically layered electron density (Ne) spanning 60–800 km by integrating geomagnetic indices (AE, SYM-H) and solar activity parameters (F10.7). Utilizing global TEC grid data (spatiotemporal resolution: 1 h/5.625° × 2.8125°) provided by the International GNSS Service (IGS), a Multilayer Perceptron (MLP) model was developed, taking spatiotemporal coordinates, altitude, and space environment parameters as inputs to predict logarithmic electron density ln(Ne). Experimental validation against COSMIC-2 radio occultation observations in 2019 demonstrates the model’s capability to capture ionospheric vertical structures, with a prediction performance significantly outperforming the International Reference Ionosphere model IRI-2020: root mean square error (RMSE) decreased by 34.16%, and the coefficient of determination (R<sup>2</sup>) increased by 28.45%. This method overcomes the reliance of traditional electron density inversion on costly radar or satellite observations, enabling high-spatiotemporal-resolution global ionospheric profile reconstruction using widely available GNSS-TEC data. It provides a novel tool for space weather warning and shortwave communication optimization. Current limitations include insufficient physical interpretability and prediction uncertainty in GNSS-sparse regions, which could be mitigated in future work through the integration of physical constraints and multi-source data assimilation.https://www.mdpi.com/2073-4433/16/5/598total electron contentelectron density decompositiondeep learningionospheric modeling
spellingShingle Jialiang Zhang
Jianxiang Zhang
Zhou Chen
Jingsong Wang
Cunqun Fan
Yan Guo
Deep Learning-Based Vertical Decomposition of Ionospheric TEC into Layered Electron Density Profiles
Atmosphere
total electron content
electron density decomposition
deep learning
ionospheric modeling
title Deep Learning-Based Vertical Decomposition of Ionospheric TEC into Layered Electron Density Profiles
title_full Deep Learning-Based Vertical Decomposition of Ionospheric TEC into Layered Electron Density Profiles
title_fullStr Deep Learning-Based Vertical Decomposition of Ionospheric TEC into Layered Electron Density Profiles
title_full_unstemmed Deep Learning-Based Vertical Decomposition of Ionospheric TEC into Layered Electron Density Profiles
title_short Deep Learning-Based Vertical Decomposition of Ionospheric TEC into Layered Electron Density Profiles
title_sort deep learning based vertical decomposition of ionospheric tec into layered electron density profiles
topic total electron content
electron density decomposition
deep learning
ionospheric modeling
url https://www.mdpi.com/2073-4433/16/5/598
work_keys_str_mv AT jialiangzhang deeplearningbasedverticaldecompositionofionospherictecintolayeredelectrondensityprofiles
AT jianxiangzhang deeplearningbasedverticaldecompositionofionospherictecintolayeredelectrondensityprofiles
AT zhouchen deeplearningbasedverticaldecompositionofionospherictecintolayeredelectrondensityprofiles
AT jingsongwang deeplearningbasedverticaldecompositionofionospherictecintolayeredelectrondensityprofiles
AT cunqunfan deeplearningbasedverticaldecompositionofionospherictecintolayeredelectrondensityprofiles
AT yanguo deeplearningbasedverticaldecompositionofionospherictecintolayeredelectrondensityprofiles