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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ANGEO</journal-id><journal-title-group>
    <journal-title>Annales Geophysicae</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ANGEO</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Ann. Geophys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1432-0576</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/angeo-44-1303-2026</article-id><title-group><article-title>Reevaluation of EISCAT plasma parameters during the May 2024 geomagnetic storm using O<sup>+</sup> ratios from AMIE-driven SD-WACCM-X</article-title><alt-title>Reevaluation of EISCAT plasma parameters</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Günzkofer</surname><given-names>Florian</given-names></name>
          <email>florian.guenzkofer@dlr.de</email>
        <ext-link>https://orcid.org/0000-0001-6568-2995</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Tjulin</surname><given-names>Anders</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Lu</surname><given-names>Gang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Liu</surname><given-names>Hanli</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4 aff5">
          <name><surname>Stober</surname><given-names>Gunter</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7909-6345</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Institute for Solar-Terrestrial Physics, German Aerospace Center (DLR), Neustrelitz, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>EISCAT AB, Kiruna, Sweden</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>High Altitude Observatory, National Center for Atmospheric Research, Boulder, CO, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Institute of Applied Physics, Microwave Physics, University of Bern, Bern, Switzerland</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Oeschger Center for Climate Change Research, Microwave Physics, University of Bern, Bern, Switzerland</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Florian Günzkofer (florian.guenzkofer@dlr.de)</corresp></author-notes><pub-date><day>10</day><month>November</month><year>2026</year></pub-date>
      
      <volume>44</volume>
      <issue>2</issue>
      <fpage>1303</fpage><lpage>1313</lpage>
      <history>
        <date date-type="received"><day>11</day><month>February</month><year>2026</year></date>
           <date date-type="rev-request"><day>25</day><month>February</month><year>2026</year></date>
           <date date-type="rev-recd"><day>15</day><month>June</month><year>2026</year></date>
           <date date-type="accepted"><day>23</day><month>October</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Florian Günzkofer et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://angeo.copernicus.org/articles/44/1303/2026/angeo-44-1303-2026.html">This article is available from https://angeo.copernicus.org/articles/44/1303/2026/angeo-44-1303-2026.html</self-uri><self-uri xlink:href="https://angeo.copernicus.org/articles/44/1303/2026/angeo-44-1303-2026.pdf">The full text article is available as a PDF file from https://angeo.copernicus.org/articles/44/1303/2026/angeo-44-1303-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e153">We present a reevaluation of EISCAT plasma parameters during the May 2024 geomagnetic storm, applying the ion composition from an AMIE-driven SD-WACCM-X simulation instead of the standard IRI model. This resulted in significant deviations of F1 region electron densities (up to 15 <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>), electron temperature (40 <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>), and ion temperatures (30 <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>) from the original analysis. Parameter uncertainties are also shown to be affected by the reevaluation (5 <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>–10 <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>). The correlations of parameter uncertainty, ion composition differences, and absolute ion composition profiles are investigated. It is shown that in the F1 region, the plasma parameter deviations are notably larger than the uncertainty range. Incorrect assumptions about the ion composition can have a significant impact on the accuracy of ISR measurements, which has important consequences for the possible application of ISR data in data assimilation. Advantages and disadvantages compared to previously presented approaches regarding the ion composition issue are discussed. The presented method allows to de-bias storm-time ISR measurements with standard analysis software. Whether a generally applicable empirical model, which would allow for de-biasing without additional incoherent scatter analysis, can be derived with the presented method remains to be investigated in the future.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e205">Incoherent Scatter Radar (ISR) measurements are a crucial component of many space weather studies, as they provide multiple ionosphere parameters, including electron density, ion/electron temperature, and ion velocity. However, these parameters are inferred from the incoherent scatter spectrum, assuming certain  a priori parameters, most notably the ratio of atomic oxygen ion (<inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) density to the electron density, <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. It has been shown in the past that the assumed ion composition has a considerable effect on the electron and ion temperature measurements <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx40 bib1.bibx21 bib1.bibx35 bib1.bibx11" id="paren.1"><named-content content-type="pre">e.g.</named-content></xref>. Hence, the measurement reliability is strongly affected by the accuracy of the  a priori modeled <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratio profile.</p>
      <p id="d2e246">The most commonly applied empirical ionosphere model is the International Reference Ionosphere <xref ref-type="bibr" rid="bib1.bibx24" id="paren.2"><named-content content-type="pre">IRI,</named-content></xref>. <xref ref-type="bibr" rid="bib1.bibx2" id="text.3"/> gives an overview of the different IRI versions and applied parameterizations. They note that the accuracy of empirical ion composition models is significantly limited by the scarcity of measurements, especially for statistically rare conditions, e.g. during geomagnetic storms. Physics-based thermosphere-ionosphere models obtain the ion composition by solving the continuity and momentum equations of the ionosphere <xref ref-type="bibr" rid="bib1.bibx31" id="paren.4"/>. However, though the ion chemistry in the F region is considerably simpler than in the D and E regions <xref ref-type="bibr" rid="bib1.bibx29" id="paren.5"/>, plasma dynamics and thermosphere-ionosphere coupling affect the accuracy of the modeled ion composition <xref ref-type="bibr" rid="bib1.bibx39 bib1.bibx16 bib1.bibx17" id="paren.6"><named-content content-type="pre">e.g.</named-content></xref>. Nevertheless, physics-based ionosphere models are likely to cover the variability of the F region ion composition better than empirical models for geomagnetically active periods.</p>
      <p id="d2e268">To assess the effects of empirical and physics-based model ion compositions, we reevaluate the ISR measurements with the EISCAT Svalbard Radar during the major geomagnetic storm in May 2024 <xref ref-type="bibr" rid="bib1.bibx33 bib1.bibx5" id="paren.7"/>. For this reevaluation, we replace the <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratios given by the default ionosphere  a priori model (IRI2020) of the EISCAT analysis with the <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratios as given by the physics-based Whole Atmosphere Community Climate Model with thermosphere/ionosphere extension (WACCM-X). Different high-latitude drivers of the WACCM-X model are compared.</p>
      <p id="d2e296">Section <xref ref-type="sec" rid="Ch1.S2"/> gives an overview of the applied measurements and models. Section <xref ref-type="sec" rid="Ch1.S3"/> shows the reevaluated plasma parameters and relates them to the model differences in <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratio. Section <xref ref-type="sec" rid="Ch1.S4"/> discusses the obtained results, and the advantages and disadvantages of the technique applied in this paper compared to previous solutions of the ion composition issue. Section <xref ref-type="sec" rid="Ch1.S5"/> summarizes the main conclusion and gives an outlook on future work.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Measurements and models</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>EISCAT Svalbard Radar</title>
      <p id="d2e333">The EISCAT Svalbard Radar (ESR) is located at 78.2° N, 16.1° E, inside the polar cusp, and has been in operation for nearly 30 <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx1" id="paren.8"/>. It operates at a radar frequency of 500 <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MHz</mml:mi></mml:mrow></mml:math></inline-formula> and consists of two parabolic receive antennas: one fully steerable with a 32 <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> diameter and one fixed along the local geomagnetic field direction, with a 42 <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> diameter. During the major geomagnetic storm in May 2024, the ESR was continuously operated from 10 May 13:00 <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> to 14 May 12:00 <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> in the <italic>ipy_fixed42m</italic> mode. This means that only the 42 <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> antenna was utilized and, hence, all measurements are conducted at 81.6° elevation along the local magnetic field. More information about EISCAT instruments and operation modes can be found in <xref ref-type="bibr" rid="bib1.bibx34" id="text.9"/>.</p>
      <p id="d2e402">To obtain plasma parameters, EISCAT measurements are analyzed with the Grand Unified Incoherent Scatter Design and Analysis Package GUISDAP <xref ref-type="bibr" rid="bib1.bibx18" id="paren.10"/>. We leverage the GUISDAP version 9.2 <xref ref-type="bibr" rid="bib1.bibx13" id="paren.11"/>, which includes the IRI2020 <xref ref-type="bibr" rid="bib1.bibx24 bib1.bibx2" id="paren.12"/> and the NRLMSIS 2.1 <xref ref-type="bibr" rid="bib1.bibx7" id="paren.13"/> to generate an  a priori state of the atmosphere-ionosphere system. The GUSIDAP sub-function, which calls the ionosphere  a priori model, was modified to acquire the <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratio from a previously prepared input file for reevaluation. The autocorrelation function of the radar signal was integrated over 300 <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> for each analysis step. This is considerably longer than the default 60 s integration period, but was chosen to match the output frequency of the whole-atmosphere model (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS2"/>).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>SD-WACCM-X</title>
      <p id="d2e447">WACCM-X is a whole-atmosphere model developed and maintained by the National Center for Atmospheric Research <xref ref-type="bibr" rid="bib1.bibx20" id="paren.14"/>. SD-WACCM-X is the <italic>specified dynamics</italic> model configuration, which means that lower atmosphere dynamics are nudged to the MERRA2 reanalysis <xref ref-type="bibr" rid="bib1.bibx28" id="paren.15"/>. SD-WACCM-X has been validated and applied in multiple previous studies <xref ref-type="bibr" rid="bib1.bibx32 bib1.bibx15 bib1.bibx8 bib1.bibx30" id="paren.16"><named-content content-type="pre">e.g.</named-content></xref>.</p>
      <p id="d2e464">The model run applied for the present study was conducted at approximately <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.9</mml:mn><mml:mi mathvariant="italic">°</mml:mi><mml:mo>×</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula> latitude-longitude and 0.25 scale heights vertical resolution. Instantaneous outputs of the basic atmosphere-ionosphere parameters, including the ion composition, were written in 5 min intervals to obtain a maximum time resolution while keeping the computational cost and data amount reasonable.</p>
      <p id="d2e483">Specifying the geomagnetic forcing of thermosphere-ionosphere models is an important issue, since it has been shown that different models for the high-latitude electrodynamics result in considerably different thermosphere-ionosphere conditions <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx10" id="paren.17"/>. The “default” choice is empirical models of the high-latitude convection pattern. However, data assimilative methods are generally considered to result in a more realistic geomagnetic forcing, but are also more difficult to obtain compared to standard empirical models. We will compare the <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratios from two WACCM-X runs, driven with the empirical Heelis convection model <xref ref-type="bibr" rid="bib1.bibx14" id="paren.18"/> and the Assimilative Mapping of Ionospheric Electrodynamics <xref ref-type="bibr" rid="bib1.bibx27" id="paren.19"><named-content content-type="pre">AMIE,</named-content></xref>. The Heelis model applies the 3-hourly Kp index for parameterization. For the May 2024 superstorm, the AMIE assimilation includes measurements by the SuperDARN radar network, the SuperMAG magnetometer network, DMSP satellite measurements of ion drift, DMSP/SSUSI measurements of auroral precipitation, as well as AMPERE and Swarm (A and B) satellite magnetic field data.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
      <p id="d2e517">The major geomagnetic storm of May 2024 was the strongest space weather event in two decades and reached the maximum possible <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mtext>Kp</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula> index (the Kp-similar Hp30 index, for which no upper limits apply, reached up to 11.33). A complete overview of the storm impact at high latitudes can be found in <xref ref-type="bibr" rid="bib1.bibx33" id="text.20"/>. In addition, <xref ref-type="bibr" rid="bib1.bibx5" id="text.21"/> studied the polar ionosphere-thermosphere coupling using multiple observations. They showed that both <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increases and neutral composition changes are important for F region recombination and hence result in electron density depletion and ion composition changes in the polar region. The geomagnetic storm started at about 17:00 <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> on 10 May and reached its maximum during the night from 10–11 May. On 11 and 12 May, <xref ref-type="bibr" rid="bib1.bibx33" id="text.22"/> and <xref ref-type="bibr" rid="bib1.bibx5" id="text.23"/> showed a strongly pronounced negative storm phase, indicating significant thermospheric upwelling and consequent disturbances of the chemical composition at the thermosphere/ionosphere. Figure <xref ref-type="fig" rid="F1"/> shows the EISCAT ESR measurements of electron density <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, electron temperature <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and ion temperature <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from 10–13 May 2024.</p>

      <fig id="F1"><label>Figure 1</label><caption><p id="d2e601">EISCAT ESR measurements of <bold>(a)</bold> electron density, <bold>(b)</bold> electron temperature, and <bold>(c)</bold> ion temperature from 10–13 May 2024.</p></caption>
        <graphic xlink:href="https://angeo.copernicus.org/articles/44/1303/2026/angeo-44-1303-2026-f01.jpg"/>

      </fig>

      <p id="d2e619">As described in Sect. <xref ref-type="sec" rid="Ch1.S2.SS1"/> and <xref ref-type="bibr" rid="bib1.bibx11" id="text.24"/>, the plasma parameters in Fig. <xref ref-type="fig" rid="F1"/> are inferred from the incoherent scatter spectrum assuming certain  a priori parameters from the empirical IRI 2020 and NRLMSIS 2.1 models. Figure <xref ref-type="fig" rid="F2"/>a shows the <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>-to-<inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratio <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> as given by the IRI model from 10–13 May 2024. It can be seen that IRI provides the diurnal variation of <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> but no variations as expected from the varying geomagnetic conditions during this period. The Heelis- and AMIE-driven WACCM-X <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratios in Fig. <xref ref-type="fig" rid="F2"/>b and c show this variation of <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> with geomagnetic activity. The low <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> well up into the F region at around 08:00 <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> on 11 May, presumably connected to the uplift of molecular atmospheric constituents following the main phase of the storm, can be seen in both WACCM-X runs. However, the variability of <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is distinctly lower in the Heelis-driven model run, as expected due to the driving with the 3-hourly Kp index. Since the data assimilative AMIE method is expected to cover the actual geomagnetic forcing better than the empirical Heelis model <xref ref-type="bibr" rid="bib1.bibx10" id="paren.25"/>, the further analysis in this paper will be conducted using the AMIE-driven WACCM-X model results. Due to the limited availability of AMIE results, the Heelis-driven model <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is more widely applicable for the reevaluation of EISCAT measurements demonstrated below, e.g. from <xref ref-type="bibr" rid="bib1.bibx4" id="text.26"/>.</p>

      <fig id="F2"><label>Figure 2</label><caption><p id="d2e775"><inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratios <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> given by <bold>(a)</bold> the IRI 2020 model, <bold>(b)</bold> the Heelis-driven, and <bold>(c)</bold> the AMIE-driven WACCM-X runs.</p></caption>
        <graphic xlink:href="https://angeo.copernicus.org/articles/44/1303/2026/angeo-44-1303-2026-f02.jpg"/>

      </fig>

      <p id="d2e818">The GUSIDAP software for inferring EISCAT plasma parameters contains a subroutine <italic>ionomodel.m</italic> which, by default, calls upon the IRI 2020 model to give a priori estimates of the fitted plasma parameters as well as an a priori <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratio that is assumed as true during the fitting of plasma parameters. We adjusted this subroutine and opened a path to directly read the <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratio from the prepared WACCM-X run. The adjusted <italic>ionomodel.m</italic> routine as well as the WACCM-X data files for Heelis- and AMIE-driven model runs are provided in a software and data repository <xref ref-type="bibr" rid="bib1.bibx12" id="paren.27"/>. We would like to emphasize again that all results shown below are obtained by applying the AMIE-driven model results.</p>
      <p id="d2e852">Figure <xref ref-type="fig" rid="F3"/>a shows the difference of <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratio <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> between WACCM-X and IRI during the May 2024 storm. Figure <xref ref-type="fig" rid="F3"/>b–d show the percentage changes

              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M46" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">d</mml:mi><mml:mi>X</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mtext>reevaluation</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mtext>original</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mtext>original</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></disp-formula>

        of <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the reevaluation using WACCM-X <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> compared to the original EISCAT parameters. It can be seen that for all three parameters <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>X</mml:mi></mml:mrow></mml:math></inline-formula> has a negative correlation with <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>. While <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is limited to about <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> at maximum deviation, <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> can reach up to <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">30</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> even up to <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">40</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>.</p>

      <fig id="F3"><label>Figure 3</label><caption><p id="d2e1086"><bold>(a)</bold> Difference of WACCM-X <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratio compared to IRI. Applying the WACCM-X <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> results in reevaluated EISCAT plasma parameters <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mrow><mml:mi mathvariant="normal">e</mml:mi><mml:mo>,</mml:mo><mml:mtext>re</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi mathvariant="normal">e</mml:mi><mml:mo>,</mml:mo><mml:mtext>re</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi mathvariant="normal">i</mml:mi><mml:mo>,</mml:mo><mml:mtext>re</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>. Panels <bold>(b)</bold>–<bold>(d)</bold> show the resulting percentage changes of these parameters.</p></caption>
        <graphic xlink:href="https://angeo.copernicus.org/articles/44/1303/2026/angeo-44-1303-2026-f03.jpg"/>

      </fig>

      <p id="d2e1178">Figure <xref ref-type="fig" rid="F4"/> illustrates the correlation of <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>X</mml:mi></mml:mrow></mml:math></inline-formula> throughout all times and altitudes shown in Fig. <xref ref-type="fig" rid="F3"/>. We distinguish two altitude regimes, above and below the transition altitude <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, as applied by <xref ref-type="bibr" rid="bib1.bibx35" id="text.28"/>, where half of the ionospheric plasma consists of atomic oxygen ions, i.e. <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula>. It can be seen that the percentage change between original analysis and reevaluation is strongly negatively correlated (<inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>&lt;</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula>) in all cases, except for <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> below the transition altitude. This indicates the potential to develop a simple, linear correction model which would allow to de-bias EISCAT measurements without needing to repeat the incoherent scatter analysis. For the case of <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> above <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, which has the highest correlation with <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, we determine a linear function <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>A</mml:mi><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi>B</mml:mi></mml:mrow></mml:math></inline-formula>, so that

              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M74" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi mathvariant="normal">e</mml:mi><mml:mo>,</mml:mo><mml:mtext>reevaluated</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi mathvariant="normal">e</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">o</mml:mi></mml:mrow></mml:msub><mml:mo>⋅</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>A</mml:mi><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow><mml:mn mathvariant="normal">100</mml:mn></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>B</mml:mi><mml:mn mathvariant="normal">100</mml:mn></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>

      <fig id="F4"><label>Figure 4</label><caption><p id="d2e1428">Correlation with <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> for <bold>(a)</bold> <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(b)</bold> <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <bold>(c)</bold> <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> above and below the transition altitude.</p></caption>
        <graphic xlink:href="https://angeo.copernicus.org/articles/44/1303/2026/angeo-44-1303-2026-f04.png"/>

      </fig>

      <p id="d2e1503">We find that <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mi>A</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">74.8138</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mi>B</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.2261</mml:mn></mml:mrow></mml:math></inline-formula> (hence <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mi>B</mml:mi><mml:mo>/</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mo>≪</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> can be neglected) for this case.</p>
      <p id="d2e1548">However, a reliable correction model that can be applied to other EISCAT measurements would require a statistical analysis of EISCAT measurements, including quiet-time campaigns. The idea of a correction function was already suggested by <xref ref-type="bibr" rid="bib1.bibx37" id="text.29"/>, but the significant increase in ISR measurements since then would allow for a statistically more sound evaluation. Also, non-linear relations, as already discussed by <xref ref-type="bibr" rid="bib1.bibx37" id="text.30"/>, should be considered. The scope of this paper is the May 2024 superstorm, but the development of such a correction model might prove useful in the future.</p>
      <p id="d2e1557">Figure <xref ref-type="fig" rid="F5"/>a–c show the analogous percentage changes of the plasma parameter uncertainties <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="italic">δ</mml:mi><mml:mi>X</mml:mi></mml:mrow></mml:math></inline-formula>. For all three parameters, the percentage change between reevaluation and the original analysis is below <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>. However, it becomes apparent that the correlation with <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is not as straightforward as with <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>X</mml:mi></mml:mrow></mml:math></inline-formula> in Fig. <xref ref-type="fig" rid="F3"/>.</p>

      <fig id="F5"><label>Figure 5</label><caption><p id="d2e1618">Percentage changes of parameter uncertainties <bold>(a)</bold> <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(b)</bold> <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <bold>(c)</bold> <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Transition altitudes of <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> are shown as solid (WACCM-X) and dashed (IRI) lines.</p></caption>
        <graphic xlink:href="https://angeo.copernicus.org/articles/44/1303/2026/angeo-44-1303-2026-f05.jpg"/>

      </fig>

      <p id="d2e1696">In Fig. <xref ref-type="fig" rid="F5"/>, the transition altitudes given by the IRI and WACCM-X models, interpolated to EISCAT measurement altitudes, are shown as solid (WACCM-X) and dashed (IRI) lines. The percentage change of the parameter uncertainties has an opposite sign above, and below the smaller of the two compared transition altitudes, i.e. it depends on whether the altitude <inline-formula><mml:math id="M90" display="inline"><mml:mi>h</mml:mi></mml:math></inline-formula> is larger or smaller than <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mtext>min</mml:mtext><mml:mo mathvariant="italic">{</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mn mathvariant="normal">50</mml:mn><mml:mo>,</mml:mo><mml:mtext>WACCM-X</mml:mtext></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mn mathvariant="normal">50</mml:mn><mml:mo>,</mml:mo><mml:mtext>IRI</mml:mtext></mml:mrow></mml:msub><mml:mo mathvariant="italic">}</mml:mo></mml:mrow></mml:math></inline-formula>. Table <xref ref-type="table" rid="T1"/> summarizes the relations of <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M93" display="inline"><mml:mi>h</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="italic">δ</mml:mi><mml:mi>X</mml:mi></mml:mrow></mml:math></inline-formula>. To our understanding, the origin of the relations in Table <xref ref-type="table" rid="T1"/> is rather a mathematical consequence of the incoherent scatter analysis than an actual physical process, though no evidence can be provided.</p>

<table-wrap id="T1"><label>Table 1</label><caption><p id="d2e1786">Whether the plasma parameter uncertainties increase or decrease due to the reevaluation depends on the sign of <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and on the altitude of the lower model <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:mi>h</mml:mi><mml:mo>&gt;</mml:mo><mml:mo>min⁡</mml:mo><mml:mo mathvariant="italic">{</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mn mathvariant="normal">50</mml:mn><mml:mo>,</mml:mo><mml:mtext>WACCM-X</mml:mtext></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mn mathvariant="normal">50</mml:mn><mml:mo>,</mml:mo><mml:mtext>IRI</mml:mtext></mml:mrow></mml:msub><mml:mo mathvariant="italic">}</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mi mathvariant="bold">d</mml:mi><mml:mi mathvariant="bold-italic">δ</mml:mi><mml:mi mathvariant="bold-italic">X</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mi mathvariant="bold">d</mml:mi><mml:mi mathvariant="bold-italic">δ</mml:mi><mml:mi mathvariant="bold-italic">X</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mi>h</mml:mi><mml:mo>&lt;</mml:mo><mml:mo>min⁡</mml:mo><mml:mo mathvariant="italic">{</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mn mathvariant="normal">50</mml:mn><mml:mo>,</mml:mo><mml:mtext>WACCM-X</mml:mtext></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mn mathvariant="normal">50</mml:mn><mml:mo>,</mml:mo><mml:mtext>IRI</mml:mtext></mml:mrow></mml:msub><mml:mo mathvariant="italic">}</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mi mathvariant="bold">d</mml:mi><mml:mi mathvariant="bold-italic">δ</mml:mi><mml:mi mathvariant="bold-italic">X</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mi mathvariant="bold">d</mml:mi><mml:mi mathvariant="bold-italic">δ</mml:mi><mml:mi mathvariant="bold-italic">X</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e2035">To obtain an impression of how the impact of the reevaluation, Figs. <xref ref-type="fig" rid="F6"/> and <xref ref-type="fig" rid="F7"/> show the vertical profiles of <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for 11 May 08:00 <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> and 12 May 22:10 <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, which are the times of minimum/maximum <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> respectively.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e2111">Vertical profiles of <bold>(a)</bold> <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(b)</bold> <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <bold>(c)</bold> <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from the original EISCAT analysis and the reevaluation at 08:00 <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> on 11 May 2024.</p></caption>
        <graphic xlink:href="https://angeo.copernicus.org/articles/44/1303/2026/angeo-44-1303-2026-f06.png"/>

      </fig>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e2174">Same as Fig. <xref ref-type="fig" rid="F6"/> but for 22:10 <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> on 12 May 2024.</p></caption>
        <graphic xlink:href="https://angeo.copernicus.org/articles/44/1303/2026/angeo-44-1303-2026-f07.png"/>

      </fig>

      <p id="d2e2193">It can be seen that the deviation of the original and reevaluated profiles is mostly larger than the uncertainty range at around 200–300 <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude. This demonstrates the usefulness of such a reevaluation, especially for studies investigating plasma temperatures.</p>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
      <p id="d2e2212">This section discusses alternative approaches to constrain/determine the <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratio before or during the analysis process, in addition to the default GUSIDAP analysis, using IRI <inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, and the WACCM-X-based reevaluation presented in this paper. The advantages and disadvantages of each method will be compared.</p>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Direct fitting of <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratios</title>
      <p id="d2e2260">The GUISDAP software package allows for determining <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> during the analysis process without constraining it to the a priori profile. However, this results in a very noisy <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, as shown in Fig. <xref ref-type="fig" rid="F8"/>, and consequently large uncertainties of all inferred parameters.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e2297">GUISDAP fit of <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratio without constraining any other parameters on 12 May 2024 (00:00–12:00 <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>).</p></caption>
          <graphic xlink:href="https://angeo.copernicus.org/articles/44/1303/2026/angeo-44-1303-2026-f08.jpg"/>

        </fig>

      <p id="d2e2325">This issue has been previously discussed in numerous publications <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx40" id="paren.31"><named-content content-type="pre">see</named-content><named-content content-type="post">and references therein</named-content></xref>, and alternative approaches have been discussed. Introducing a correction function, as suggested by <xref ref-type="bibr" rid="bib1.bibx37" id="text.32"/> and in Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>) has the advantage of not requiring a time-consuming reevaluation of the incoherent scatter measurements. The problem with this approach is that <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is still assumed to be known somehow (in our case, from AMIE/WACCM-X instead of IRI).</p>
      <p id="d2e2356"><xref ref-type="bibr" rid="bib1.bibx3" id="text.33"/> suggested a complete reparameterization of the incoherent scatter analysis. This method allows inferring the standard ISR plasma parameters as well as <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> from the incoherent scatter spectrum. However, multiple assumptions about the shape of <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and the ionospheric temperatures are applied to obtain the additional parameter. <xref ref-type="bibr" rid="bib1.bibx22" id="text.34"/> derived an altitude profile for the <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratio 

                <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M128" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi>h</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">2</mml:mn><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:msqrt><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mi>exp⁡</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mo>-</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi>h</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub></mml:mrow><mml:mi>H</mml:mi></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:msqrt></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

          based on the transition altitude <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and a scale height parameter <inline-formula><mml:math id="M130" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> for the thickness of the transition. <xref ref-type="bibr" rid="bib1.bibx40" id="text.35"/> applied Eq. (<xref ref-type="disp-formula" rid="Ch1.E3"/>) with a constant <inline-formula><mml:math id="M131" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> for further simplification they deemed justified <xref ref-type="bibr" rid="bib1.bibx39" id="paren.36"/> while <xref ref-type="bibr" rid="bib1.bibx3" id="text.37"/> implemented an asymmetric profile with different <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msup><mml:mi>H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msup><mml:mi>H</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> above and below <inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e2538">The above-described approaches provide self-consistent measurements of the ionospheric composition together with the standard ISR plasma parameters. However, the required modification of the incoherent scatter analysis limits their applicability, and the applied assumptions on the <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> profile and the ionospheric temperatures provide additional uncertainty (e.g. Eq. <xref ref-type="disp-formula" rid="Ch1.E3"/> was specifically derived for mid-latitudes). The method suggested in this paper, together with the correction-function approach from <xref ref-type="bibr" rid="bib1.bibx37" id="text.38"/>, is easily applicable, and the only, though major, assumption is the reliability of WACCM-X ion compositions. Its main use can therefore be seen as a “quick correction” for cases where IRI ion composition is presumably erroneous (e.g. during strong storm events).</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Bayesian Fitting Module</title>
      <p id="d2e2569">Another possible approach is the Bayesian Filtering Module (BAFIM) developed by <xref ref-type="bibr" rid="bib1.bibx35" id="text.39"/>. BAFIM is a full-profile fitting technique that allows inferring the four standard ISR plasma parameters at high time and altitude resolution from a multi-step fitting process. Since the full-profile fitting approach, other than the standard gate-by-gate analysis, allows for enforcing certain conditions on the parameter profiles, the ion composition can be fitted as an additional fifth parameter. The five-parameter BAFIM analysis in <xref ref-type="bibr" rid="bib1.bibx35" id="text.40"/> was able to eliminate the artificial temperature maximum in the F1 region that is often observed in ISR measurements under erroneous <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> assumptions <xref ref-type="bibr" rid="bib1.bibx11" id="paren.41"/>. In <xref ref-type="bibr" rid="bib1.bibx36" id="text.42"/>, the BAFIM was coupled to an ion chemistry model <xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx25" id="paren.43"/>, providing even more reliable ion composition fits in an approach similar to the one applied in the AMISR radars <xref ref-type="bibr" rid="bib1.bibx26" id="paren.44"/>. The iterative fit of plasma parameters and ion composition ensures that the result of the fit is reasonable from a chemistry point of view. Hence, that technique is also suitable for rapid changes in ion temperature and composition, which typically occur during active geomagnetic conditions, such as substorms and storms.</p>
      <p id="d2e2606">For the May 2024 storm, <xref ref-type="bibr" rid="bib1.bibx5" id="text.45"/> recently showed BAFIM analyzed EISCAT measurements (see their Fig. 3). It can be seen that the BAFIM fitted <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratios evolve, similar to the AMIE-driven WACCM-X results. Assuming the BAFIM results as ground-truth, this confirms our initial assumption that under storm conditions, physics-based T-I models can capture the ion composition better than empirical models. The Heelis-driven WACCM-X run shows a somewhat different evolution of <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratio over Svalbard, but still seems to capture the storm better than IRI. It should be noted that the transition altitude <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of the BAFIM fitted ion composition can be at altitudes <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">300</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. Both WACCM-X runs show consistently higher <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratios, equivalent to lower transition altitudes than the BAFIM fit. It is known that WACCM-X generally overestimates <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mo>∑</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> ratios <xref ref-type="bibr" rid="bib1.bibx19" id="paren.46"/>. Since the dominant production process of <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is photoionization of atomic oxygen, an overestimation of <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratio can therefore be expected.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e2720">WACCM-X distributions of <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratio over the arctic cap at 230 <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude at <bold>(a, b)</bold> 04:00 <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, <bold>(c, d)</bold> 06:00 <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, and <bold>(e, f)</bold> 08:00 <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> on 11 May 2024. The left column shows Heelis-driven and the right column shows AMIE-driven model results. We leverage the <italic>M_Map</italic> software package <xref ref-type="bibr" rid="bib1.bibx23" id="paren.47"/> for plotting.</p></caption>
          <graphic xlink:href="https://angeo.copernicus.org/articles/44/1303/2026/angeo-44-1303-2026-f09.jpg"/>

        </fig>

      <p id="d2e2789">The Bayesian Filtering Module, in combination with the GUISDAP software, provides the presumably most reliable method for inferring EISCAT plasma parameters and “correct” ion compositions. Since the main challenge is the sparse availability of ion composition measurements in the F1 region, a thorough validation is difficult. An additional problem of full-profile techniques is the large computational weight, though BAFIM avoids this issue by partially applying gate-by-gate analysis <xref ref-type="bibr" rid="bib1.bibx35" id="paren.48"/>. Nevertheless, many users of EISCAT measurements do not conduct the incoherent scatter analysis themselves but rely on data products provided by the EISCAT database. Especially for these users, a simple and quick, if less accurate, correction function, as suggested in this paper, is presumably more applicable. However, the accuracy of physics-based model ion compositions, especially for empirical convection forcing (see Sect. 4.3) needs to be investigated. It needs to be determined under what geomagnetic conditions physics-based ion compositions outperform empirical models before a correction model can be derived from a statistically representative database of EISCAT measurements and WACCM-X simulations For the required evaluation of model <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratios, BAFIM will be highly valuable as an independent reference.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Model variability of <inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></title>
      <p id="d2e2829">As previously discussed, the main issue of the proposed method is that it still relies on model <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratios. As argued in the previous Section, the AMIE-driven WACCM-X run captures the general dynamics of the <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratio, assuming the BAFIM results as ground-truth, significantly better than IRI during storm times.</p>
      <p id="d2e2854">In Fig. <xref ref-type="fig" rid="F2"/>b and c, the different temporal scales of the Heelis and AMIE convection models can be seen. While the investigated WACCM-X runs all apply a five-minute output cadence, the Heelis model is driven by the 3-hourly Kp  index, and hence strong variability of <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> occurs only on temporal scales <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> in Fig. <xref ref-type="fig" rid="F2"/>b. The data assimilative AMIE model can produce ionospheric variability on a temporal scale of a few minutes and is therefore capable of capturing storm dynamics better than Heelis <xref ref-type="bibr" rid="bib1.bibx10" id="paren.49"/>. Since WACCM-X long-runs mainly apply the Heelis convection model, e.g. <xref ref-type="bibr" rid="bib1.bibx4" id="text.50"/>, the development of an empirical correction model will need to consider the missing temporal-scales of Heelis-driven WACCM-X ionosphere dynamics.</p>
      <p id="d2e2901">In addition to temporal scales, the horizontal variability of different forcing models needs to be considered. Figure <xref ref-type="fig" rid="F9"/> shows the <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratios given by Heelis- and AMIE-driven WACCM-X runs over the northern polar cap at 230 <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude. Both models show a distinct patch of low <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratio in the vicinity of Svalbard that intensifies between 06:00–08:00 <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> on 11 May 2024. However, in the Heelis-driven run, this patch appears to remain fixed in local time, whereas it is convected across the polar cap in the AMIE-driven run. This results in a different horizontal distribution of <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> at 10 <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F9"/>e and f in both model runs. Before a correction model based on the correlations identified in Sect. <xref ref-type="sec" rid="Ch1.S3"/> can be developed, the variability of <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in Heelis-driven model runs needs to be better understood, and it needs to be assessed under what conditions the physics-based model can be assumed to give more accurate a priori conditions than the empirical IRI model.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions and Outlook</title>
      <p id="d2e2993">A reevaluation of EISCAT plasma parameters during the May 2024 geomagnetic storm was conducted, assuming <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratios from an AMIE-driven SD-WACCM-X run. We showed that under extreme storm conditions, the EISCAT electron density measurements deviate up to 15 <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> compared to the standard analysis assuming IRI <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratios. Electron and ion temperatures were shown to deviate even stronger, up to 40 <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> and 30 <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. We showed a very high linear correlation of electron temperature deviations and <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> in the applied a priori models, opening the possibility to introduce a simple correction function. The uncertainties in the plasma parameters were impacted by the reevaluation, increasing by about 5 <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>–10 <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>. However, whether the uncertainty is increased or decreased due to the reevaluation depends on the transition altitudes of the two a priori models. However, the deviations of F1 region plasma parameters between the original analysis and reevaluation are notably larger than the uncertainty range.</p>
      <p id="d2e3074">As discussed in Sect. <xref ref-type="sec" rid="Ch1.S4"/>, the main advantage of an ISR measurement reevaluation based on the ion composition given by a physics-based thermosphere-ionosphere model is the possibility to extend the method into a correction model. Due to the limited availability of AMIE results coinciding with EISCAT measurements, a correction model would have to be based on standard high-latitude drivers of WACCM-X, i.e. the Heelis and Weimer empirical convection models. Existing WACCM-X long-runs, such as <xref ref-type="bibr" rid="bib1.bibx4" id="text.51"/>, can be applied. Such a correction model would be quickly and easily applicable to all researchers, regardless of their proficiency with incoherent scatter analysis software. However, extended studies including ISR campaigns during different levels of geomagnetic activity are required to verify the possibility of inferring a correction model, and it needs to be determined under what conditions physics-based models actually capture the ionosphere composition better than empirical models.</p>
</sec>

      
      </body>
    <back><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d2e3086">The data and software required to reproduce the shown results are available under the Creative Commons Attribution 4.0 International license at  <ext-link xlink:href="https://doi.org/10.5281/zenodo.18599344" ext-link-type="DOI">10.5281/zenodo.18599344</ext-link> <xref ref-type="bibr" rid="bib1.bibx12" id="paren.52"/>.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e3098">FG conducted the formal analysis and wrote the original manuscript draft. AT assisted with and validated the modified GUISDAP analysis and conducted the GUISDAP <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> fit in Sect. <xref ref-type="sec" rid="Ch1.S4"/>. GL generated and provided the AMIE input files for the May 2024 storm. HL assisted with the WACCM-X model runs. GS supervised the project and wrote parts of the manuscript. All authors were involved in revising the final manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e3117">At least one of the (co-)authors is a member of the editorial board of <italic>Annales Geophysicae</italic>. The peer-review process was guided by an independent editor, and the authors also have no other competing interests to declare.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e3126">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e3132">We acknowledge the support of EISCAT AB, a not-for-profit company operating research radars funded by research organisations in Finland (RCF), Japan (NIPR and ISEE), Norway (NFR), Sweden (VR), and the UK (UKRI). The National Center for Atmospheric Research is a major facility sponsored by the National Science Foundation under Cooperative Agreement 1852977. We acknowledge high-performance computing support from Derecho (<ext-link xlink:href="https://doi.org/10.5065/qx9a-pg09" ext-link-type="DOI">10.5065/qx9a-pg09</ext-link>, <xref ref-type="bibr" rid="bib1.bibx6" id="altparen.53"/>) provided by NCAR's Computational and Information Systems Laboratory. Gunter Stober is a member of the Oeschger Center for Climate Change Research (OCCR). The internal pre-review at DLR-SO by Hiroatsu Sato is gratefully acknowledged.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e3143">The article processing charges for this open-access publication were covered by the German Aerospace Center (DLR).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e3149">This paper was edited by Dalia Buresova and reviewed by two anonymous referees.</p>
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