Global hmF2 Parameter Prediction Modeling Based on COSMIC Satellite Data and SHAP Interpretable Method

Accurately predicting the peak height of the F2 layer (hmF2) is crucial for radio communications, satellite navigation, and space weather studies, yet traditional empirical models often lack precision. To address this, we developed a global hmF2 prediction model using a Multilayer Perceptron (MLP) neural network, based on COSMIC radio occultation observations from 2007 to 2023. Evaluated on independent test sets from 2014 and 2019, the MLP model achieved correlation coefficients of 0.877 and 0.853 with root mean square errors of 22.3 km and 19.1 km, respectively, significantly outperforming the machine learning approaches like XGBoost and Transformer. The model also demonstrated strong generalization on an independent validation set constructed from 2014 and 2019 GIRO data, with a correlation of 0.785 and RMSE of 26.1 km, surpassing NPHM, and XGBoost. SHAP interpretability analysis identified geographic latitude, cosine of latitude, solar F10.7 index, and annual/daily harmonic terms as the most influential physical features. Error analysis showed a mean prediction error of −3.2 km and a standard deviation of 21.8 km, with stable performance during quiet periods and larger errors primarily during disturbed conditions. This study provides a reliable tool for high-accuracy hmF2 prediction and enhances the understanding of the physical mechanisms controlling its variability.

Authors

Institutions

Publication Details

Journal
Atmosphere
Published
2026-03-31
DOI
https://doi.org/10.3390/atmos17040353
Primary Topic
Ionosphere and magnetosphere dynamics
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Global hmF2 Parameter Prediction Modeling Based on COSMIC Satellite Data and SHAP Interpretable Method

Qinglin Zhu, Ming Ou, Bangcheng Zhang, Xiaorui Chong et al.
Atmosphere
Ionosphere and magnetosphere dynamics
article

Global hmF2 Parameter Prediction Modeling Based on COSMIC Satellite Data and SHAP Interpretable Method

Qinglin Zhu, Ming Ou, Bangcheng Zhang, Xiaorui Chong, Longjiang Chen, Fen Wang, Jingjing Li, Yuhang Zhang
article en

Abstract

Accurately predicting the peak height of the F2 layer (hmF2) is crucial for radio communications, satellite navigation, and space weather studies, yet traditional empirical models often lack precision. To address this, we developed a global hmF2 prediction model using a Multilayer Perceptron (MLP) neural network, based on COSMIC radio occultation observations from 2007 to 2023. Evaluated on independent test sets from 2014 and 2019, the MLP model achieved correlation coefficients of 0.877 and 0.853 with root mean square errors of 22.3 km and 19.1 km, respectively, significantly outperforming the machine learning approaches like XGBoost and Transformer. The model also demonstrated strong generalization on an independent validation set constructed from 2014 and 2019 GIRO data, with a correlation of 0.785 and RMSE of 26.1 km, surpassing NPHM, and XGBoost. SHAP interpretability analysis identified geographic latitude, cosine of latitude, solar F10.7 index, and annual/daily harmonic terms as the most influential physical features. Error analysis showed a mean prediction error of −3.2 km and a standard deviation of 21.8 km, with stable performance during quiet periods and larger errors primarily during disturbed conditions. This study provides a reliable tool for high-accuracy hmF2 prediction and enhances the understanding of the physical mechanisms controlling its variability.

AtmosphereVol. 17(4)
Nanjing University of Information Science and Technology (CN), Research Institute of Radio (RU), Shandong University of Science and Technology (CN)
National Key Research and Development Program of China
Climate action
Openalex Percentile: Top 30%
Ionosphere and magnetosphere dynamics
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Global hmF2 Parameter Prediction Modeling Based on COSMIC Satellite Data and SHAP Interpretable Method — Qinglin Zhu, Ming Ou, et al. · Atmosphere (2026) | TGRS Research Map | TGRS