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ORIGINAL RESEARCH article

Front. Astron. Space Sci.

Sec. Space Physics

Volume 12 - 2025 | doi: 10.3389/fspas.2025.1646575

This article is part of the Research TopicEnergy Transfer And Exchange With Low-Energy Plasma Via Cross-Energy And Cross-Scale Interactions Throughout The MagnetosphereView all 6 articles

Predictive Analytics of Cold Ion Outflow from the Earth's Ionosphere

Provisionally accepted
Nicolas  DoepkeNicolas Doepke1Elena  A KronbergElena A Kronberg1*Kun  LiKun Li2Artem  SmirnovArtem Smirnov1Raluca  IlieRaluca Ilie3Fabian  ScheiplFabian Scheipl4
  • 1Ludwig Maximilian University of Munich, Munich, Germany
  • 2Planetary Environmental and Astrobiological Research Laboratory, School of Atmospheric Sciences, Sun Yat-sen University, Zhuhai, China, Zhuhai, Guangdong, China
  • 3Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, IL, USA, Illinois, USA, United States
  • 4Ludwig-Maximilians-Universitat Munchen, Munich, Germany

The final, formatted version of the article will be published soon.

In this study, we investigate the cold ions (<70 eV) originated in the high-latitude ionosphere of the Earth entering the magnetosphere towards the magnetotail. We analyze measurements from Cluster spacecraft along with solar irradiance, solar wind (SW), and geomagnetic observations. Two machine learning models driven by solar irradiance and solar wind measurements are derived to predict the cold ion flux. With the linear baseline model, we provide an empirical formula. The nonlinear model (Extra-Trees Regressor) yields 17% better Doepke et al. Frontiers performance. The total cold ion escape rate from the polar cap ranges between ∼1.1·1024 and ∼2.7·1026 s−1. The upper limit is comparable to the neutral escape rate. The results show that spatial location is the most important predictor. Solar EUV irradiance is also among the top predictors, followed by the solar wind electric field, the interplanetary magnetic field (IMF), and solar wind dynamic pressure. These results can help to evaluate the influence of the stellar wind-magnetospheric interaction on the ion outflow at Earth-like exoplanets. They indicate the importance of such an interaction for the atmospheric escape during active geomagnetic conditions. Stronger outflow from the Northern Hemisphere than from the Southern Hemisphere hints that the magnetic field strength can impact the amount of ionospheric outflow.

Keywords: cold ions, ion outflow, atmospheric escape, machine learning, Extra trees regression (ETR)

Received: 13 Jun 2025; Accepted: 15 Sep 2025.

Copyright: © 2025 Doepke, Kronberg, Li, Smirnov, Ilie and Scheipl. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

* Correspondence: Elena A Kronberg, Ludwig Maximilian University of Munich, Munich, Germany

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