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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-44-577-2026</article-id><title-group><article-title>Spatial characteristics of the dayside auroral ionosphere observed by Incoherent Scatter Radar</article-title><alt-title>Spatial characteristics of the dayside auroral ionosphere observed by ISR</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Frøystein</surname><given-names>Ingeborg</given-names></name>
          <email>ingeborg.froystein@uit.no</email>
        <ext-link>https://orcid.org/0009-0007-6600-3545</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Spicher</surname><given-names>Andres</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3">
          <name><surname>Oksavik</surname><given-names>Kjellmar</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4312-6992</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Physics and Technology, UiT the Arctic University of Norway, Tromsø, Norway</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Physics and Technology, University of Bergen, Bergen, Norway</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Arctic Geophysics, The University Centre in Svalbard, Longyearbyen, Norway</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Ingeborg Frøystein (ingeborg.froystein@uit.no)</corresp></author-notes><pub-date><day>1</day><month>July</month><year>2026</year></pub-date>
      
      <volume>44</volume>
      <issue>1</issue>
      <fpage>577</fpage><lpage>593</lpage>
      <history>
        <date date-type="received"><day>11</day><month>December</month><year>2025</year></date>
           <date date-type="rev-request"><day>27</day><month>December</month><year>2025</year></date>
           <date date-type="rev-recd"><day>10</day><month>April</month><year>2026</year></date>
           <date date-type="accepted"><day>29</day><month>May</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Ingeborg Frøystein 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/44/577/2026/angeo-44-577-2026.html">This article is available from https://angeo.copernicus.org/articles/44/577/2026/angeo-44-577-2026.html</self-uri><self-uri xlink:href="https://angeo.copernicus.org/articles/44/577/2026/angeo-44-577-2026.pdf">The full text article is available as a PDF file from https://angeo.copernicus.org/articles/44/577/2026/angeo-44-577-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e111">Observation-based characteristics of the dayside ionosphere are important for the knowledge of the coupling between the solar wind, magnetosphere and ionosphere. Therefore, this paper presents descriptions and quantitative analyses of characteristics of the polar dayside ionosphere during the winter. We use EISCAT Svalbard radar (ESR) fast elevation scans to obtain both altitudinal and latitudinal information of the ionospheric parameters electron density <inline-formula><mml:math id="M1" 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="M2" 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="M3" 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>. We determine the location of the open-closed field line boundary (OCB) and divide the ionosphere into three regions based on their position relative to the OCB: on closed field lines, along the OCB, and in the polar cap. We first show two case examples, illustrative of the method and the dynamic response of the ionosphere to variable solar wind. We then statistically investigate how the parameters vary from closed to open field lines across the OCB and with altitude in the three regions. Finally, we compare the obtained OCB latitudes with the ones obtained in previous studies. Overall, significant differences in the ionospheric parameters can be seen between the three latitude regions. In general, observed enhancements in <inline-formula><mml:math id="M4" 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> peak in the F-region on open field lines just poleward of the OCB, reaching up to 4<inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> poleward. In particular, <inline-formula><mml:math id="M6" 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> is highest between 11:00–13:00 <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula> where the ESR is most likely below the cusp. During this interval, the gradient in <inline-formula><mml:math id="M8" 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> from closed to open field lines peaks. Additionally, <inline-formula><mml:math id="M9" 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> appears to be slightly enhanced poleward of the OCB at most altitudes and maximizes just below 300 <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> on open field lines, increasing with a factor 1.2 from closed field lines. In the E-region, <inline-formula><mml:math id="M11" 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> decreases with increasing latitude into the polar cap, especially pre-noon. Further, we observe that the ratio between <inline-formula><mml:math id="M12" 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> in the E and F regions is larger on closed than on open field lines. In addition, the variability in the ion temperature <inline-formula><mml:math id="M13" 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> appears to be larger on open field lines. Together, these result contribute to a quantification of characteristics of the dayside auroral ionosphere with respect to both altitude and latitude.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Norges Forskningsråd</funding-source>
<award-id>326039</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e259">The dayside auroral region and the high latitude ionosphere are strongly governed by the coupling of the solar wind to the magnetosphere and ionosphere. In the dayside auroral region and more specifically the cusp region, the shocked solar wind has direct access to the ionosphere. The shocked solar wind particles are predominantly of low energy and as they precipitate, energy is deposited at higher altitudes in the ionosphere <xref ref-type="bibr" rid="bib1.bibx27" id="paren.1"/>, resulting in the typically 6300 <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Å</mml:mi></mml:mrow></mml:math></inline-formula> dominated dayside aurora <xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx29 bib1.bibx10" id="paren.2"/>.</p>
      <p id="d2e276">In general, the dayside polar ionosphere and phenomena related to the uniquely direct solar-wind-magnetosphere coupling are widely investigated topics in the realm of near-Earth space dynamics. A large range of instruments has been used to probe the region, including in-situ instrumentation such as sounding rockets <xref ref-type="bibr" rid="bib1.bibx25 bib1.bibx21 bib1.bibx42" id="paren.3"><named-content content-type="pre">e.g.</named-content></xref> and satellites <xref ref-type="bibr" rid="bib1.bibx55 bib1.bibx43 bib1.bibx37" id="paren.4"><named-content content-type="pre">e.g.</named-content></xref>, by ground based optical measurements <xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx9 bib1.bibx14" id="paren.5"><named-content content-type="pre">e.g.</named-content></xref>, by HF radars <xref ref-type="bibr" rid="bib1.bibx30 bib1.bibx3 bib1.bibx41" id="paren.6"><named-content content-type="pre">e.g.</named-content></xref>, and by Incoherent Scatter Radar (ISR) <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx40 bib1.bibx28 bib1.bibx8 bib1.bibx6" id="paren.7"><named-content content-type="pre">e.g.</named-content></xref>.</p>
      <p id="d2e304">In particular, ISRs are useful tools for observations of the ionospheric plasma and yields valuable information on the ionospheric parameters, such as the electron temperature <inline-formula><mml:math id="M15" 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>, ion temperature <inline-formula><mml:math id="M16" 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>, electron density <inline-formula><mml:math id="M17" 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>, and the ion velocity <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Examples of previous ISR observations of the dayside auroral ionosphere or cusp region are presented in the following paragraphs. Such observations include easily measurable enhancements in <inline-formula><mml:math id="M19" 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> due to low energy precipitation in the upper F-region <xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx8 bib1.bibx40 bib1.bibx28 bib1.bibx11" id="paren.8"/>. The F-region <inline-formula><mml:math id="M20" 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> has been observed to reach up to 6000 <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx40 bib1.bibx18" id="paren.9"/>. Such extreme electron temperatures can also produce emissions via thermal excitation <xref ref-type="bibr" rid="bib1.bibx19" id="paren.10"><named-content content-type="pre">e.g.</named-content></xref>. Also, models suggest that the temperature can increase by 1000 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> due to cusp precipitation <xref ref-type="bibr" rid="bib1.bibx54" id="paren.11"/>.</p>
      <p id="d2e405">In addition, observations of <inline-formula><mml:math id="M23" 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> include precipitation-driven enhancements in the F-region due to low energy precipitation <xref ref-type="bibr" rid="bib1.bibx40 bib1.bibx41" id="paren.12"/>, or a depleted E-region due to a lack of higher energy precipitation <xref ref-type="bibr" rid="bib1.bibx52" id="paren.13"/>. This lack of enhanced <inline-formula><mml:math id="M24" 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> has been used as indications of observations located in the cusp region <xref ref-type="bibr" rid="bib1.bibx52" id="paren.14"/>. In the F-region, <inline-formula><mml:math id="M25" 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> cusp signatures can be ambiguous, for instance due to polar cap patches or other structuring that conceals the precipitation-driven enhancements <xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx5" id="paren.15"/>.</p>
      <p id="d2e455">Furthermore, enhanced <inline-formula><mml:math id="M26" 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> can occur in relation to fast flows that are associated with increased Joule heating rates, as has been observed by e.g. <xref ref-type="bibr" rid="bib1.bibx35" id="text.16"/>, <xref ref-type="bibr" rid="bib1.bibx24" id="text.17"/> and <xref ref-type="bibr" rid="bib1.bibx41" id="text.18"/>. The increased flow can be a signature of dayside reconnection, and increased <inline-formula><mml:math id="M27" 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> has been used to locate the cusp <xref ref-type="bibr" rid="bib1.bibx24" id="paren.19"/>.</p>
      <p id="d2e493">Finally, specific phenomena such as flux transfer events (FTE) <xref ref-type="bibr" rid="bib1.bibx55" id="paren.20"/> and polar moving auroral forms (PMAFs) <xref ref-type="bibr" rid="bib1.bibx22 bib1.bibx49 bib1.bibx23 bib1.bibx46 bib1.bibx9" id="paren.21"/> have been linked to pulsed reconnection at the dayside magnetopause. PMAFs have been observed in <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>, <inline-formula><mml:math id="M29" 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>, and <inline-formula><mml:math id="M30" 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> <xref ref-type="bibr" rid="bib1.bibx22 bib1.bibx23" id="paren.22"><named-content content-type="pre">e.g.</named-content></xref>.</p>
      <p id="d2e541">Important quantities such as the ionospheric energy loss rates <xref ref-type="bibr" rid="bib1.bibx50" id="paren.23"><named-content content-type="pre">e.g.</named-content></xref>, ionospheric conductivities <xref ref-type="bibr" rid="bib1.bibx26" id="paren.24"/> and collision rates <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx50" id="paren.25"><named-content content-type="pre">e.g.</named-content></xref> depend on the plasma parameters observable by ISR. For accurate calculation of these quantities, knowledge of the variation of the before-mentioned standard ISR parameters is useful, especially in a region as dynamic as the dayside auroral ionosphere. In addition, insights into variation with both latitude relative to the open-closed field line boundary (OCB) and altitude are valuable.</p>
      <p id="d2e557">In this paper, we characterize the ionosphere with respect to both altitude and latitude in the dayside auroral region. This is done using EISCAT Svalbard radar (ESR) fast elevation scans. The scans are used to separate the ionosphere within the dayside auroral oval/poleward of the OCB and on closed field lines/equatorward of the OCB. The ionosphere on open field lines is next split into two, one region along the OCB and one containing the polar cap ionosphere. The open field lines are split in the two open regions to extract the observations most likely covering the cusp and in general where the field lines are newly opened from the remaining open field lines. Due to the nature of ESR elevation scanning experiments, it is also possible to extract altitude profiles of the ionospheric parameters in all three regions within a very short time period. This paper presents two case studies that illustrate dynamic ionospheric behavior under different IMF conditions qualitatively. Further, a statistical analysis of the OCB latitude as well as latitudinal and altitudinal variations of the dayside auroral ionosphere is presented.</p>
      <p id="d2e560">This paper is structured as follows. Section 2 presents the data set used for this paper and the instrumentation, as well as data selection criteria. Section 3 describes the method used for extracting the ionosphere equatorward of, just poleward of the OCB and in the polar cap. Section 4 presents the results: First two experiments are presented for a qualitative view of the ionospheric variation. Next, statistical results of the OCB location are shown. Further, statistical results of the altitude variation of the ionospheric parameters with respect to the three extracted regions are presented. Finally, a latitudinal epoch analysis is presented for a more detailed view of the latitude variation of the ionospheric parameters. Section 5 houses the discussion.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Instrumentation and data</title>
      <p id="d2e571">This section presents the data sets and instrumentation used for this study. The primary data set is from the EISCAT Svalbard radar (ESR), located outside Longyearbyen, Svalbard (78.15° N, 16.03° E). The location of the ESR is shown in Fig. 1. For the ESR observations, the radar ran in the fast elevation scanning mode, during which the radar scanned from pointing North to South  with a lowest elevation angle of 30<inline-formula><mml:math id="M31" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e582">The ESR data used includes both elevation scans where the 32-meter radar dish scanned along the geographic meridian and along the magnetic meridian. Experiment modes taro, folke, steffe and tau0 are used. All the ESR data was downloaded from the EISCAT portal and analyzed with GUISDAP <xref ref-type="bibr" rid="bib1.bibx20" id="paren.26"/>. For experiments where other scan patterns and modes were used in addition to the before-mentioned modes, these sections were removed from the analysis. The geometry and the field of view (FOV) of the scans are shown in Fig. <xref ref-type="fig" rid="F1"/>a.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e592"><bold>(a)</bold> Map of the ESR location outside Longyearbyen, Svalbard (black triangle) and the experiment geometries used for this study. The blue (orange) line shows the footprint of scans along the geometric (magnetic) meridians. The highlighted points show the FOV edges at 100, 200, 300, and 400 <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude. Geographic coordinates shown in black, AACGM latitudes in dashed blue <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx51" id="paren.27"/>. <bold>(b)</bold> Example ESR scan from 4 December 2014 showing <inline-formula><mml:math id="M33" 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>. The colored bands indicate the latitudes of the sections of the scan on closed field lines (CFL, gray), at the boundary edge (OCB, red) and in the polar cap (PC, green). The magenta line illustrates the open closed field line boundary. <bold>(c)</bold> The clock angle <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> distribution for the data used in this study. The horizontal (vertical) axis corresponds to <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and the color scale to <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The red circle highlights <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> = 9 <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
        <graphic xlink:href="https://angeo.copernicus.org/articles/44/577/2026/angeo-44-577-2026-f01.png"/>

      </fig>

      <p id="d2e696">In addition to the ESR observations, supplementary data was used. This includes solar wind magnetic field measurements from the OMNIWeb Database <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx17" id="paren.28"/>, the auroral electrojet index (AE) from WDC Kyoto <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx58" id="paren.29"/>, and the polar cap north (PCN) index from DTU Space at the Technical University of Denmark <xref ref-type="bibr" rid="bib1.bibx53 bib1.bibx57" id="paren.30"/>. As the OMNI measurements are propagated to the bow shock, a delay is added to the IMF data to account for the delay time between the bow shock and the ionosphere. This added delay is 12 <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx45" id="paren.31"/>.</p>
<sec id="Ch1.S2.SSx1" specific-use="unnumbered">
  <title>Data selection</title>
      <p id="d2e724">A total of 33 ESR scan experiments are used in this study, each run on separate days. The duration of the individual experiments ranges from 30 to 358 <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula>. Combined, the 33 experiments consists of approximately 100 <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> of observations. Most of the experiments are centered at magnetic noon (local morning time for Longyearbyen), but the data also includes some pre-noon and post-noon observations. All experiments were run during the boreal winter, with the majority being from the winters of 2014 and 2015 (solar maxima), during 2002 (declining phase) or 2010 (solar minima). Information on the scans modes, orientations, and durations of each experiment are listed in Table <xref ref-type="table" rid="TA1"/>. The data from each experiment was inspected visually, and the events with a clear auroral oval at 300 <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> were included in the data set used for this study.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Method</title>
      <p id="d2e762">For identification of the dayside aurora in the ESR elevation scans, we use the method described by <xref ref-type="bibr" rid="bib1.bibx11" id="text.32"/>. A short description of the method is given here. By running the ESR in a scanning mode, observations of the aurora and the quiet ionosphere can be made within a short time lapse. Using observations of <inline-formula><mml:math id="M44" 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>, <inline-formula><mml:math id="M45" 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>, and <inline-formula><mml:math id="M46" 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> within and outside the dayside aurora, the electron heating rate due to precipitation is estimated from the electron energy equation, and it is found that changes in <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> can introduce <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>  variations of up to 1000 <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> given a constant heating rate. In addition, <inline-formula><mml:math id="M50" 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> falls off linearly with exponentially increasing <inline-formula><mml:math id="M51" 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> given a constant electron heating rate. This relation between <inline-formula><mml:math id="M52" 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="M53" 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> is then used to adjust an initial <inline-formula><mml:math id="M54" 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> enhancement threshold of 2000 <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> to include the <inline-formula><mml:math id="M56" 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> effect. Observations where this threshold is reached are classified as being within the dayside aurora or on open field lines.</p>
      <p id="d2e907">For this study, we use the identified dayside auroral boundary to separate the ESR observations into three regions depending on their latitude relative to the boundary. Every point south of the boundary is classified as being on closed field lines (CFL). The region north of the boundary, which is on open field lines is split into two. A 3<inline-formula><mml:math id="M57" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> band just northward of the boundary is classified as along the OCB (OCB) and the remaining points are classified as being in the polar cap (PC). To avoid possible classification errors between open and closed field lines, we add a 0.3<inline-formula><mml:math id="M58" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> buffer band around the boundary latitude. This buffer is discarded. An example scan of <inline-formula><mml:math id="M59" 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> is shown in Fig. <xref ref-type="fig" rid="F1"/>b. The magenta line shows the position of the OCB. The colored bands show the latitudes covered by each of the three classes.</p>
      <p id="d2e939">Prior to conducting the statistical analysis, several steps are performed on the data. First, every ESR data point with a relative error greater than 30 % is discarded. The relative error is calculated as <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>p</mml:mi><mml:mo>/</mml:mo><mml:mi>p</mml:mi><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula> where <inline-formula><mml:math id="M61" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> is the ionospheric parameter and <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula> is the error from the GUISDAP analysis. We assume that the ESR or GUISDAP errors are accounted for by doing this. The boundary method by <xref ref-type="bibr" rid="bib1.bibx11" id="text.33"/> also includes quality flags of the position of the latitude. Each obtained OCB latitude is flagged depending on the number of missing data points surrounding the location, the <inline-formula><mml:math id="M63" 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> threshold value dependence or lack of <inline-formula><mml:math id="M64" 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> gradients and the proximity to the ESR FOV edge. For the statistical analysis we omit all points flagged as “red”, which corresponds the most uncertain boundary location.</p>
      <p id="d2e1003">Finally, for the statistical analysis, we remove data points for which the IMF <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula>. This is done to ensure that the sampling is  roughly even with respect to the IMF and therefore clock angle. This is illustrated in Fig. <xref ref-type="fig" rid="F1"/>c), which shows the distribution of IMF <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Values below <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula> are relatively evenly distributed. On the other hand, values greater than 9 <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula> are skewed and including these points could introduce a bias in the results.</p>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Results</title>
      <p id="d2e1093">This section first presents two case examples showing ESR observations for a detailed presentation of the time and latitude variation within the dayside auroral region. The two cases are chosen  because they show (1) a clear dayside auroral region and (2) different IMF conditions, response, and morphology of the ionosphere. Next, statistical results of OCB latitude, as well as the altitude and latitude variation of the ionospheric parameters are presented.</p>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Case 1: Latitude variation on 4 December 2014</title>
      <p id="d2e1103">Figure <xref ref-type="fig" rid="F2"/> shows ESR observations from 4 December 2014. The ESR was run in the taro experiment mode with the radar line of sight moving from 30<inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> elevation pointing South to 30<inline-formula><mml:math id="M73" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> pointing North, with every elevation step covering 6.4 <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula>. This leads to full N–S scans over approximately 3 <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula>. The shown parameters are the averages between 275–325 <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> over the different latitudes covered by the radar beam unless otherwise stated. For context, panels (a) and (b) show the IMF <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> components, and the AE and PCN indices, respectively. Panels (c)–(g) present parameters <inline-formula><mml:math id="M79" 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>, <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>e,F</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>e,E</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (E-region, 110–130 <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M83" 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>, and <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, respectively. The velocity <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the horizontal component of the along-beam observed velocity. It is calculated from the observed velocity and the radar elevation angle. Velocities where the radar beam is almost vertical, from 85 to 95<inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> elevation, are discarded.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1256">Overview of observed <inline-formula><mml:math id="M87" 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>, <inline-formula><mml:math id="M88" 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>, and <inline-formula><mml:math id="M89" 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>, and identified regions on open and closed field lines by the ESR 32 <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> from 4 December 2014. Panel <bold>(a)</bold> shows the IMF <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> components, panel <bold>(b)</bold> the AE (red solid, left hand axis) and PCN (blue dashed, right hand axis) indices, panels <bold>(c)</bold>–<bold>(g)</bold> show <inline-formula><mml:math id="M93" 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>, <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>e,F</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (high F-region (275–325 <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>e,E</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (E-region, 110–130 <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M98" 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>, and <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> observed at 300 <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude by the 32 <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> along the geographic meridian. The solid black line indicates the open-closed field line boundary. The colored squares show the quality flags. Panel <bold>(h)</bold> shows colored regions of the 32 m data corresponding to closed field lines (grey), in the polar cap (green) and along the open-closed field line boundary (red).</p></caption>
          <graphic xlink:href="https://angeo.copernicus.org/articles/44/577/2026/angeo-44-577-2026-f02.png"/>

        </fig>

      <p id="d2e1433">The open-closed field boundary based on the 32-meter observations is overlaid in black. The scattered squares colored in red, green or yellow are the OCB location quality flags for each time step. Panel (h) shows the identified regions, as illustrated in Fig. <xref ref-type="fig" rid="F1"/>. Regions on closed field lines are colored in grey, the 3<inline-formula><mml:math id="M102" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> band directly North of a 0.3<inline-formula><mml:math id="M103" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> buffer in red shows the OCB region, and the polar cap region is drawn in green. The offset from <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula> in Longyearbyen is approximately <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>. The shadow height at the ESR latitude is approximately 300 <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> at the beginning of the experiment and 120 <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> at the end of the experiment. The altitude is calculated using solar elevation angles from the PyEphem Python package <xref ref-type="bibr" rid="bib1.bibx44" id="paren.34"/>.</p>
      <p id="d2e1508">For the case shown in Fig. <xref ref-type="fig" rid="F2"/>, the IMF <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are relatively stable and only the magnitude is slowly varying. <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is positive throughout, save a few short intervals of low magnitude negative <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the middle of the experiment. <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is negative throughout, except for some minor switches in the beginning of the experiment. The AE index, shown in panel (b), is low during the experiment, but reaches a peak of 200 <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula> slightly before 09:00 <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>. The PCN index is also relatively low throughout, but it increases slightly after 09:00 <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e1593">The OCB is far North in the radar FOV at the beginning of the experiment, and gradually moves equatorward. The farthest South location is at 09:00 <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, coinciding with the AE peak. After 09:00 <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, the OCB retracts back towards the North of the radar FOV. The correlation coefficient between the OCB latitude and the AE index is <inline-formula><mml:math id="M119" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.65. The OCB latitude error flags in Fig. <xref ref-type="fig" rid="F2"/>c and d show that the boundary position is flagged as uncertain (“red”) where the position is found in a region of missing data, like shortly after 07:00 <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>. Similarly, the location is flagged as uncertain where the error bars in the latitude is large, e.g. shortly after 09:00 <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e1638">As expected, <inline-formula><mml:math id="M122" 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> shown in panel (c) is enhanced along the identified boundary and the gradient from closed to open field lines is generally well defined. During intervals where the gradient is not well defined, the boundary latitude is flagged as uncertain, e.g. at approximately 09:00 <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>. In addition, the enhancements in <inline-formula><mml:math id="M124" 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> are clear during the entire experiment and span several degrees in latitude. In particular, no differences between the OCB region and the PC are visible here. The enhancements appear to peak between 08:00–09:00 <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>. This collocates with the AE maximum.</p>
      <p id="d2e1679"><inline-formula><mml:math id="M126" 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> in the F-region, shown in panel (d), is relatively stable throughout but there is a region of slightly lower density on closed field lines in the middle of the experiment. Toward the end of the experiment there is an increase in <inline-formula><mml:math id="M127" 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> at the Southward edge of the radar FOV which creeps Northward. <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>e,E</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, shown in panel (e), is slightly higher in the first half of the experiment. On open field lines, the density is lower, but the difference is not striking.</p>
      <p id="d2e1714"><inline-formula><mml:math id="M129" 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>, shown in panel (f), exhibits intermittent enhancements. However, the enhancements are not as clear and as persistent in time as the <inline-formula><mml:math id="M130" 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> enhancements. The region of most clearly and evenly enhanced <inline-formula><mml:math id="M131" 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> coincides with the peak <inline-formula><mml:math id="M132" 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> between 08:00–09:00 <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>. There is also an enhanced region between 07:00–07:30 <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> along the OCB and a region at the equatorward edge of the FOV at 08:00 <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e1785">Although the measurements are very noisy, there are some patterns in <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (panel g). For example, there is a region of reverse flow shortly after 07:30 <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Case 2: Latitude variation on 5 December 2015</title>
      <p id="d2e1815">Figure <xref ref-type="fig" rid="F3"/> shows ESR observations from 5 December 2015 (in the same format as the case shown in Fig. <xref ref-type="fig" rid="F2"/>).</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1824">Same as Fig. <xref ref-type="fig" rid="F2"/> for 5 December 2015.</p></caption>
          <graphic xlink:href="https://angeo.copernicus.org/articles/44/577/2026/angeo-44-577-2026-f03.png"/>

        </fig>

      <p id="d2e1835">For the December 2015 experiment, <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, shown in panel (a), is consistently positive, except for some short intervals prior to and after 09:00 <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is positive until about 07:15 <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> before turning southward, reaching values of up to <inline-formula><mml:math id="M142" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> remains negative until shortly before 10:00 <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, save for a slight switch at 09:00 <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>. The AE index, shown in panel (b), is low and stable until about 08:00 <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, growing slowly before a sharp and short-lived peak before 09:00 <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>. While remaining high for the rest of the experiment, it decays slowly toward the experiment end. The PC index increases steadily from 08:00 <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 reaches its peak at <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">09</mml:mn></mml:mrow></mml:math></inline-formula>:15 <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>. The shadow height at the ESR latitude is approximately 340 <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> at the beginning of the experiment and 115 <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> at the end of the experiment.</p>
      <p id="d2e1979">The OCB, which is plotted over the ESR parameters in panels (c)–(g), is almost directly overhead at the beginning of the experiment, before propagating toward the South edge of the FOV following the southward turning of the IMF. However, there is a <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> delay before the OCB starts moving. The OCB latitude is low until about 09:30 <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> before retracting. Around this time the IMF turns northward. As for the 2014 case, the OCB seems to be inversely linked to both the AE and PCN indices, where the largest AE values coincides with the lowest OCB latitudes. In fact, the correlation coefficient between the OCB latitude and the AE index is <inline-formula><mml:math id="M157" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.91.</p>
      <p id="d2e2015">The enhancements in <inline-formula><mml:math id="M158" 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> (shown in panel c) on open field lines have a wide peak centered at approximately 08:20 <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>. After 08:20 <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> and until approximately 09:30 <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>, there is a strong N–S <inline-formula><mml:math id="M162" 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> gradient from the region on CF to the OCB region while there is a softer gradient northward of the <inline-formula><mml:math id="M163" 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> enhancements into the polar cap. During this interval, there are also several Polar Moving Auroral Forms (PMAFs). These are seen as defined structures of enhanced <inline-formula><mml:math id="M164" 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> that move poleward (Northward).</p>
      <p id="d2e2087"><inline-formula><mml:math id="M165" 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> is stable throughout, save for some patchy activity and a depletion around 09:00 <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>. In the E-region, shown in panel (e), <inline-formula><mml:math id="M167" 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> is highest at the start and the end of the experiment. There is a clear reduction as the IMF turns Southward and the OCB moves southward. Toward the end of the experiment the density again increases.</p>
      <p id="d2e2119">There is a more clearly defined region of enhanced <inline-formula><mml:math id="M168" 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> than for the December 2014 case. From 07:30 <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> to about 09:20 <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> there is a clear band of enhanced <inline-formula><mml:math id="M171" 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>, although it is less even than the <inline-formula><mml:math id="M172" 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> band. Some other regions of enhanced <inline-formula><mml:math id="M173" 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>, e.g. before 07:00 <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> and after 09:30 <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, are also seen. There are several points of interest in <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Following the turning of the IMF, its magnitude increases and the velocity is clearly poleward. At the location of the highest <inline-formula><mml:math id="M177" 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="M178" 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>, and coincident with the 4th PMAF at 10:00 <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, there are pockets of reversed flow.</p>
      <p id="d2e2241">Following the southward turning of the IMF at approximately 07:15 <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, several features are observed in the ESR measurements. For <inline-formula><mml:math id="M181" 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>, the strength of the S-N gradient across the OCB increases. The enhancements in <inline-formula><mml:math id="M182" 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> increase. <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is strongly northward from the southward turning, and until the IMF northward turning. These three features are observed just after the southward turning at 07:15 <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>. The OCB moves equatorward following the southward turning, but the movement only starts <inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> after the turning and the features are observed in the ESR parameters.</p>
      <p id="d2e2312">To summarize, this section has presented two case studies that show different IMF conditions and ionospheric responses. The key difference is that the 2015 case (Fig. <xref ref-type="fig" rid="F3"/>) contains a strong southward turning of the IMF and the ionosphere is more structured, with both patchy <inline-formula><mml:math id="M187" 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> and PMAFs.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Open-closed field line boundary location</title>
      <p id="d2e2336">For completeness, this section presents a statistical analysis of the location of the OCB. The location and movement of the OCB is linked to the opening of magnetic flux at the dayside magnetopause and to the closing of flux in the magnetotail, and its latitude is therefore expected to relate to both the IMF and geomagnetic indices such as AE <xref ref-type="bibr" rid="bib1.bibx24" id="paren.35"><named-content content-type="post">references therein</named-content></xref>. This is previously shown in studies based on ASI <xref ref-type="bibr" rid="bib1.bibx15" id="paren.36"/> and satellite <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx38" id="paren.37"><named-content content-type="pre">e.g.</named-content></xref>. Here, we therefore investigate the relation of the OCB latitudes obtained by the ISR method to the IMF <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> component, the AE, and PCN indices and to a coupling function <xref ref-type="bibr" rid="bib1.bibx39" id="paren.38"/>.</p>
      <p id="d2e2366">Figure <xref ref-type="fig" rid="F4"/> shows the boundary latitude obtained by the radar method. The latitudes are shown as a function of <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mtext>MP</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> which represents the change in open magnetospheric flux <xref ref-type="bibr" rid="bib1.bibx39" id="paren.39"/>, the AE <xref ref-type="bibr" rid="bib1.bibx7" id="paren.40"/> and PCN <xref ref-type="bibr" rid="bib1.bibx53" id="paren.41"/> indices, and the IMF <inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> component. Only data points where 11:00 <inline-formula><mml:math id="M191" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> MLT <inline-formula><mml:math id="M192" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 13 are included as the cusp is most likely within this interval <xref ref-type="bibr" rid="bib1.bibx36" id="paren.42"/>.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e2430">Obtained OCB latitude plotted with respect to <bold>(a)</bold> coupling function <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mtext>MP</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx39" id="paren.43"/>, <bold>(b)</bold> the AE index <xref ref-type="bibr" rid="bib1.bibx7" id="paren.44"/>, and the PCN index <xref ref-type="bibr" rid="bib1.bibx53" id="paren.45"/>, and <bold>(c)</bold> IMF <inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The grey histograms (right hand axes) show the distribution of points binned by either three parameters. In panel <bold>(a)</bold>, the red (blue) dots show <inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mtext>MP</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> for negative (positive) <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. In panel <bold>(b)</bold>, the red dots are with PCN, the blue points with AE. The lower (upper) horizontal axis shows AE (PCN). For all panels, the smaller and lighter colored dots are for <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:mo>|</mml:mo><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula>, and the darker dots are for <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:mo>|</mml:mo><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
          <graphic xlink:href="https://angeo.copernicus.org/articles/44/577/2026/angeo-44-577-2026-f04.png"/>

        </fig>

      <p id="d2e2580">In Fig. <xref ref-type="fig" rid="F4"/> a, the red dots indicate where <inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula> and the blue dots where <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M204" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula>. In panel (b), blue dots indicate points sorted with respect to the AE index, the red dots with PCN. For all three plots (panels a–c), large points mark data points where <inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:mo>|</mml:mo><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula>. Small and more lightly colored points have <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:mo>|</mml:mo><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula>. The right-hand axis shows the number of points per interval on the horizontal axis. Points where the OCB latitude is flagged as uncertain are removed.</p>
      <p id="d2e2686">Although the distributions of latitudes are widespread and clearly limited by the narrow ESR field of view, some trends are visible. For both the AE index and <inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mtext>MP</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>, the variation in the OCB latitude is larger for the smallest values, spanning the entire range of the radar FOV. For larger AE, especially above 500 <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula>, no OCB latitudes above 75<inline-formula><mml:math id="M211" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> are detected. The same trend is seen in <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mtext>MP</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>. Larger index values yield a smaller range of latitudes, shifted towards the equatorward edge of the radar FOV. This is true for both large and negligible <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e2758">For IMF <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (panel c) the trend is similar, but weaker. For <inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula>, the spread in latitude is large. For <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:mo>|</mml:mo><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula>, there is a preference for higher latitudes, but the number of points in this range is low. For <inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula>, the latitudes are lower for both small and large <inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula> nT. For <inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula>, there are also a number of data points with lower latitudes. This population disappears when considering only <inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:mo>|</mml:mo><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M229" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula>. Overall, the obtained OCB latitudes behave in the same manner as has been presented in previous studies <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx38 bib1.bibx15" id="paren.46"/>, although our data set is smaller and there are some limitations concerning the FOV.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Statistical altitude profiles by region</title>
      <p id="d2e2970">For an overview of the variation in <inline-formula><mml:math id="M230" 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>, <inline-formula><mml:math id="M231" 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>, and <inline-formula><mml:math id="M232" 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>, this section presents a statistical analysis of the three parameters in the three regions CFL, OCB, and PC.</p>
      <p id="d2e3006">Using elevation scans makes it possible to observe both latitudinal and altitudinal variation of the ionospheric parameters within <inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M234" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula>. Accordingly, the altitudinal variation can be investigated separately. In this section, we present a quantitative analysis of the variation between the three regions, CFL, OCB, and PC, by constructing average altitude profiles within each region. Prior to constructing the profiles, the data is filtered by a median filter with kernel size 3. This is done for the statistical results in this section and further sections.</p>
      <p id="d2e3027">Figure <xref ref-type="fig" rid="F5"/> shows an overview of <inline-formula><mml:math id="M235" 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>, <inline-formula><mml:math id="M236" 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>, and <inline-formula><mml:math id="M237" 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> shown as altitude profiles in the three regions. The medians for each altitude bin for each region make up the the altitude profiles in the left column. The middle column shows the distributions of each parameter for every 30 <inline-formula><mml:math id="M238" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude bin for each region. The distributions are centered at the median for each altitude bin. The right hand column shows the number of points contributing to the altitude bin median and distribution in each altitude bin. The distributions for all three parameters include some amount of unreasonable outliers. Therefore, the error estimates for each altitude range are calculated as the 30th and 70th percentiles of the distributions.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e3076">Altitude profiles (left), normalized histograms of variations in each 30 <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude range (middle) and histograms showing the number of points per region and altitude range (right). Each row shows <inline-formula><mml:math id="M240" 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>, <inline-formula><mml:math id="M241" 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>, and <inline-formula><mml:math id="M242" 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>, respectively. Profiles corresponding to each region is drawn in dotted blue (CFL), dashed green (PC) and solid red (OCB) curves. The errorbars for each altitude range of the profiles (left) correspond to the 30th and 70th percentiles of the corresponding distributions (middle). Only points were <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M244" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 9 nT and 09:30 <inline-formula><mml:math id="M245" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> MLT <inline-formula><mml:math id="M246" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 14:30 are included.</p></caption>
          <graphic xlink:href="https://angeo.copernicus.org/articles/44/577/2026/angeo-44-577-2026-f05.png"/>

        </fig>

      <p id="d2e3163">From Fig. <xref ref-type="fig" rid="F5"/>a, it appears that the <inline-formula><mml:math id="M247" 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> difference between CFL and along the OCB increase with altitude, especially above 200 <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. The increase peaks upwards from 300 <inline-formula><mml:math id="M249" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> with a difference of 900–1000 <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> from the closed field lines, corresponding to a factor of 1.5–1.6. Although the error bars are large and the distributions are wide, it appears that <inline-formula><mml:math id="M251" 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> is hotter along the OCB than in the PC above 200 <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. Above 300 <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, the median is on average <inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> degrees hotter along the OCB than in the PC.</p>
      <p id="d2e3249">A similar trend is seen in <inline-formula><mml:math id="M256" 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> (panel d), where an increase from closed to open field lines above approximately 170 <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude is seen. From around 260 <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> and upwards, the increase from CFL to open field lines (OFL) averages to 120 <inline-formula><mml:math id="M259" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> and varies little with altitude, corresponding to a factor increase by 1.1–1.2. There are no distinguishable differences between the OCB and the PC.</p>
      <p id="d2e3287">For <inline-formula><mml:math id="M260" 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> in panel (g), there is a clear increase along the OCB centered at around 280 <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude. Between 170–300 <inline-formula><mml:math id="M262" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M263" 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> along the OCB reaches densities over <inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">11</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, with an increase from CFL to the OCB  by a factor 1.1–1.4. In the PC, the density is lower than along the OCB across all altitudes except at the top altitudes. The PC densities are slightly higher than the CFL densities, except at the lowest altitudes.</p>
</sec>
<sec id="Ch1.S4.SS5">
  <label>4.5</label><title>Latitude variation relative to the OCB</title>
      <p id="d2e3358">For a more detailed look at the latitude variation of the parameters, Fig. <xref ref-type="fig" rid="F6"/> shows a superposed epoch analysis of <inline-formula><mml:math id="M265" 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> (top row), <inline-formula><mml:math id="M266" 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>, and <inline-formula><mml:math id="M267" 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> (bottom row)  with respect to the OCB, allowing to study how the quantities vary with distance from the OCB.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e3398">Variation of the ionospheric parameters relative to the OCB. Panels <bold>(a)</bold>–<bold>(c)</bold> show <inline-formula><mml:math id="M268" 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> from 09:00–11:00, 11:00–13:00, and 13:00–15:00 <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. Panels <bold>(d)</bold>–<bold>(f)</bold> show <inline-formula><mml:math id="M270" 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> and <bold>(g)</bold>–<bold>(i)</bold> <inline-formula><mml:math id="M271" 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>. The red lines show altitudes 100–150 <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, the blue 200–300 <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> and the green 300–400 <inline-formula><mml:math id="M274" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. The dashed colored and black lines shows the median for the corresponding altitude. The black vertical line show the OCB (0<inline-formula><mml:math id="M275" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> offset).</p></caption>
          <graphic xlink:href="https://angeo.copernicus.org/articles/44/577/2026/angeo-44-577-2026-f06.png"/>

        </fig>

      <p id="d2e3500">The groups of red, blue and green lines correspond to the ionospheric parameters on altitude intervals 100–150, 200–300 and 300–400 <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. The data points are extracted from altitude cuts like the ones in Figs. <xref ref-type="fig" rid="F2"/> and <xref ref-type="fig" rid="F3"/>. Each altitude cut is the average over 25 <inline-formula><mml:math id="M277" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. The colored-black dashed lines show the median for each altitude range. The horizontal axis shows the latitude offset (AACGM degrees) from the OCB. Each column shows a specific time interval. The left column shows interval 09:00–11:00 <inline-formula><mml:math id="M278" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula>, the middle column shows interval 11:00–13:00 <inline-formula><mml:math id="M279" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula>, and the right column shows 13:00–15:00 <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e3549">As seen in panels (a)–(c), the F-region <inline-formula><mml:math id="M281" 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> exhibits clear variations with respect to latitude relative to the OCB regardless of the time interval. Most striking is the strength of the <inline-formula><mml:math id="M282" 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> gradient across the OCB. The gradient when crossing the OCB is significantly steeper for the 11:00–13:00 <inline-formula><mml:math id="M283" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula> interval than for the two other intervals. For 11:00–13:00 <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M285" 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> is enhanced until 4<inline-formula><mml:math id="M286" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> poleward of the OCB before decreasing. For all three time intervals, the spread in the F-region <inline-formula><mml:math id="M287" 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> is larger poleward of the OCB. Between 100–150 <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude, the variation in <inline-formula><mml:math id="M289" 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> relative to the OCB is negligible expect for a larger spread poleward of the OCB.</p>
      <p id="d2e3640">For <inline-formula><mml:math id="M290" 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> shown in panels (d)–(f), there are also some differences dependent on the relative distance to the OCB. Although <inline-formula><mml:math id="M291" 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> also increase poleward of the OCB, no strong latitudinal gradient such as the one seen in <inline-formula><mml:math id="M292" 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> can be observed.</p>
      <p id="d2e3676">In the F-region, <inline-formula><mml:math id="M293" 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> is slightly enhanced on open field lines. Latitudinal variation apart from this enhancement is hard to discern although there might be some differences between the three MLT ranges. For all three intervals, there is a significant difference in the standard deviation between open and closed field lines. On open field lines, poleward of the OCB, the standard deviation is significantly enhanced. Between 13:00–15:00 <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula> there is little to no latitudinal variation in <inline-formula><mml:math id="M295" 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>.</p>
      <p id="d2e3709">The behavior of the F-region <inline-formula><mml:math id="M296" 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> (panels g–i)  is different between the three intervals. For 09:00–11:00 <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula>, the <inline-formula><mml:math id="M298" 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> peaks poleward of the OCB and decreases gradually into the polar cap. For 11:00–13:00 <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula> there is a less pronounced peak and <inline-formula><mml:math id="M300" 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> decreases gradually from the equatorward edge of the FOV to the poleward edge. For 13:00–15:00 <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula> there is a stronger difference between 200–300 and 300–400 altitude ranges, and it peaks just poleward of the OCB between 200–300 <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude. In the E-region, there is a pronounced decrease in <inline-formula><mml:math id="M303" 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> on open field lines. For 13:00–15:00 <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula>, there is a slight peak in <inline-formula><mml:math id="M305" 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> just northward of the OCB. For all three time intervals, the lowest E region <inline-formula><mml:math id="M306" 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> values are poleward of the OCB.</p>
</sec>
<sec id="Ch1.S4.SS6">
  <label>4.6</label><title>Electron density variation in E and F regions</title>
      <p id="d2e3827">To further characterize <inline-formula><mml:math id="M307" 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> in the dayside ionosphere, this section presents an analysis of the <inline-formula><mml:math id="M308" 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> variation in the E and F regions. The electron densities in the E and F regions depend on different precipitation energies and therefore contain information about the precipitation into the dayside auroral region. Their time variation or relationship can both be used to gather information about said precipitation <xref ref-type="bibr" rid="bib1.bibx52" id="paren.47"><named-content content-type="pre">e.g.</named-content></xref>. In this section the <inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>e,E</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>e,F</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> ratio is quantified for the scans used in this study, which may provide information on the ratio of high to low energy precipitation.</p>
      <p id="d2e3879">Figure <xref ref-type="fig" rid="F7"/> shows the ratio between <inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>e,E</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>e,F</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> as a function of <inline-formula><mml:math id="M313" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula> for the PC (panel a), OCB (panel b) and CFL (panel c). For each timestep, average <inline-formula><mml:math id="M314" 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> values in the E and F regions are calculated in the CFL, OCB, and PC regions. To account for the FOV size differences between high and low altitudes, the F region <inline-formula><mml:math id="M315" 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> is cropped to match the E-region FOV before the averages are calculated. The colored points show the hourly median. The last binned median is on the interval 13:00–14:00 <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula>. This is because the number of points in the next two bins is low, especially for the CFL and PC regions. For completeness, the number of points per <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula> hour interval is also plotted using dashed black bars.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e3955">Ratio between <inline-formula><mml:math id="M318" 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> in the E region (110–130 <inline-formula><mml:math id="M319" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>) and in the F region (200–300) in the <bold>(a)</bold> PC, <bold>(b)</bold> OCB, and <bold>(c)</bold> CFL regions. The gray points are all points of the ratio wtr. <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula>. The colored points are the binned averages per full hour. The error bars show the standard deviation in the bin. Panel <bold>(d)</bold> shows the binned averages in all three regions.</p></caption>
          <graphic xlink:href="https://angeo.copernicus.org/articles/44/577/2026/angeo-44-577-2026-f07.png"/>

        </fig>

      <p id="d2e4005">Even though the FOV is limited in the E region and the spread in the data is naturally relatively large, some trends with respect to <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula> can be perceived. The behavior of the <inline-formula><mml:math id="M322" 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 is different between the three regions.</p>
      <p id="d2e4027">On CFL, the ratio peaks pre-noon at values up to 0.6. After 11:00 <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula> the ratio varies little around approximately 0.5. On open field lines (OCB and PC) the ratio is almost constant with <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula>, and any <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula> variation is far within the error bars. The ratios averages at almost 0.3.</p>
      <p id="d2e4054">Larger ratios are explained by either larger E region densities or lower F region densities. In general, larger ratios are more likely on CFL than on open field lines regardless of <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula> range.</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Discussion</title>
      <p id="d2e4075">In this work we performed a quantitative analysis of the behavior of plasma parameters <inline-formula><mml:math id="M327" 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>, <inline-formula><mml:math id="M328" 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>, and <inline-formula><mml:math id="M329" 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> in the polar dayside ionosphere. We showed two case examples that illustrate the dynamic response of the ionosphere to the solar wind. Further, we performed statistical and superposed epoch analyses of how the before-mentioned parameters vary with respect to altitude and with the distance to the OCB.</p>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Case examples and IMF impact</title>
      <p id="d2e4118">The case examples show aspects of the dynamic behavior of the dayside auroral region. The regions of enhanced <inline-formula><mml:math id="M330" 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> clearly display the presence of low energy precipitation. The 2015 event (Fig. <xref ref-type="fig" rid="F3"/>) exhibits a southward turning  and shows signatures of pulsed magnetopause reconnection. Indeed, after 08:00 <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, several PMAFs appear. PMAFs are typically related to flux transfer events in the dayside magnetopause <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx23" id="paren.48"><named-content content-type="post">references therein</named-content></xref>. The intensity of the PMAFs and the time intervals between them vary, which is consistent with previous observations <xref ref-type="bibr" rid="bib1.bibx22" id="paren.49"/>. Strong latitudinal <inline-formula><mml:math id="M332" 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> gradients such as the one seen after <inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">07</mml:mn></mml:mrow></mml:math></inline-formula>:30 <inline-formula><mml:math id="M334" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> in Fig. <xref ref-type="fig" rid="F3"/>d, has also been linked to the cusp <xref ref-type="bibr" rid="bib1.bibx40" id="paren.50"/>. There is also a strong enhancement of the poleward flow velocity in <inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, which can be linked to reconnection. In the 2014 case in Fig. <xref ref-type="fig" rid="F2"/>, where the IMF is positive throughout, less structured behavior and fewer signatures associated with magnetopause reconnection are seen.</p>
      <p id="d2e4199">In the 2015 case in Fig. <xref ref-type="fig" rid="F3"/>, the OCB moves equatorward following the southward turning of the IMF, which can be explained by reconnection at the magnetopause which expands the region of open field lines equatorward. After the IMF turns northward, the OCB relaxes poleward. In the 2014 case, the OCB also moves equatorward, which can be explained by growing convection cell size due to the considerable <inline-formula><mml:math id="M336" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> component <xref ref-type="bibr" rid="bib1.bibx31" id="paren.51"/>. This is also seen in the OCB statistics in Fig. <xref ref-type="fig" rid="F4"/>c, where both <inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> affect the latitude.</p>
      <p id="d2e4243">Between the two presented cases, there seems to be less structured behavior in all four ionospheric parameters for positive <inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, especially in <inline-formula><mml:math id="M340" 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="M341" 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>. The two cases differ most after the southward turning, where we observe highly structured <inline-formula><mml:math id="M342" 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>, <inline-formula><mml:math id="M343" 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>, and an increased <inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the 2015 case (Fig. <xref ref-type="fig" rid="F3"/>). Similar trends were observed by <xref ref-type="bibr" rid="bib1.bibx28" id="text.52"/> in field aligned ESR observations. This is also seen in several of the other experiments in Table <xref ref-type="table" rid="TA1"/>, especially in cases with well-defined intervals of stable southward or northward IMF. Although common, not all of the experiments match this description, which helps illustrate the dynamic nature of the dayside auroral ionosphere, and challenges in predicting its behavior. It is also worth mentioning that directly comparing the ionosphere to IMF observations at Lagrange point 1 can be influenced by the variation of the spacecraft relative position to the Sun–Earth (S–E) line and the time delay from the bow shock to the ionosphere <xref ref-type="bibr" rid="bib1.bibx32" id="paren.53"/>. Therefore, exact characteristics of the solar wind and IMF that reach the magnetopause can be uncertain. Although this effect is not large, small uncertainties concerning IMF effects can be introduced. For instance, for the 2015 case (Fig. <xref ref-type="fig" rid="F3"/>), the NASA Magnetospheric Multiscale Mission (MMS) satellites crossed the S–E line during the experiment (seen in MMS orbit plot from <uri>https://lasp.colorado.edu/mms/sdc/public/plots/#/historical-orbit</uri>, last access: 8 April 2026). The MMS observed IMF exhibits overall similar characteristics to that of the OMNI dataset, including the timing of the Southward turning; however, some small variations can be perceived (seen in MMS quick look plots at <uri>https://lasp.colorado.edu/mms/sdc/public/plots/#/quicklook</uri>, last access: 8 April 2026). A more detailed analysis of the effect of such variations between IMF observations at different positions along the S–E line and ESR measurements could be interesting, but it is outside the scope of this study.</p>
</sec>
<sec id="Ch1.S5.SS2">
  <label>5.2</label><title>Statistical analysis</title>
      <p id="d2e4340">Figures <xref ref-type="fig" rid="F5"/> and <xref ref-type="fig" rid="F6"/> shows statistical results considering <inline-formula><mml:math id="M345" 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>, <inline-formula><mml:math id="M346" 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>, and <inline-formula><mml:math id="M347" 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>. Before these results are discussed, four aspects of the statistical analysis are addressed in the following four paragraphs.</p>
      <p id="d2e4380">First, <inline-formula><mml:math id="M348" 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> is the main parameter used in the method for obtaining the OCB latitude and for separating open from closed field lines. Therefore, a separation between open and closed field lines and higher <inline-formula><mml:math id="M349" 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> on open field lines is expected. However, <inline-formula><mml:math id="M350" 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> is the parameter exhibiting the strongest latitudinal differences between open/closed field lines when viewing the experiment observations separately (e.g. Figs. <xref ref-type="fig" rid="F2"/> and <xref ref-type="fig" rid="F3"/>). In the superposed epoch analysis, we also note that the OCB is typically placed where the <inline-formula><mml:math id="M351" 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> gradient is strongest. Further, every timestep where the latitude of the OCB is uncertain is not included in the statistics.</p>
      <p id="d2e4432">Secondly, for this study, the regions of interest were defined to primarily separate the ionosphere on open field lines and closed field lines, and to distinguish the region closest to the OCB from the remaining open field lines. The region closest to the OCB contains possible cusp passes and possible reconnection signatures due to its proximity to the OCB. It is also likely that cusp passes are classified in our PC region if the cusp is more than 3<inline-formula><mml:math id="M352" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> wide in latitude, which is not uncommon <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx56" id="paren.54"/>. In addition, our OCB region likely contains ionosphere in the polar cap. The size of the cusp is dynamic and separating it from the remaining open field lines is not straightforward. However, the altitude profiles do not vary significantly when varying the separation latitude (OCB <inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M354" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>) between the OCB and PC regions.</p>
      <p id="d2e4464">Next, the velocity <inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was omitted from the statistical analyses. Due to the nature of elevation scans, the observed line of sight <inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is a mixture of vertical and horizontal velocities depending on the current elevation angle. When calculating the horizontal N–S <inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, data is lost overhead the radar and emphasis is therefore put on the edges on the FOV. This is especially critical for the E-region, where the FOV is narrow.  In addition, depending on the ESR position relative to the convection pattern, the magnitude of N–S and E–W velocities will vary <xref ref-type="bibr" rid="bib1.bibx34" id="paren.55"/>. Since the data set includes experiments along both the geographic and geomagnetic meridians, the interpretation of what parallel velocity that is observed is slightly different (magnetic or geographic N–S).</p>
      <p id="d2e4504">Finally, attempts to quantitatively assess <inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> proved difficult due to a large number of unreasonably high values in the E-region and a high sensitivity to the treatment and filtering of the observations prior to quantification. This sensitivity indicates that any possibly obtained trends in <inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> would be too uncertain. On the other hand, this sensitivity was not observed in the remaining ionospheric parameters.</p>
      <p id="d2e4529">Despite the challenges above mentioned, Fig. <xref ref-type="fig" rid="F5"/> showed differences between the ionospheric parameters on open (OCB, PC) and closed field lines along the altitudinal column. The differences are, as expected, most clear in <inline-formula><mml:math id="M360" 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>. However, possible trends are also seen in <inline-formula><mml:math id="M361" 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> and <inline-formula><mml:math id="M362" 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>.</p>
      <p id="d2e4567">Simultaneous signatures in both <inline-formula><mml:math id="M363" 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> and <inline-formula><mml:math id="M364" 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> have been used to identify the cusp region in ISR data, e.g. by thresholds such as <inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">3000</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M366" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M367" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> above 300 <inline-formula><mml:math id="M369" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx41" id="paren.56"/>. These values are significantly larger than the average values in the statistical altitude profiles in Fig. <xref ref-type="fig" rid="F5"/>. There is enhanced <inline-formula><mml:math id="M370" 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> along the OCB where the cusp precipitation is expected to enhance <inline-formula><mml:math id="M371" 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> at 280 <inline-formula><mml:math id="M372" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, but values of <inline-formula><mml:math id="M373" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M374" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> are rare and accounts only for 4.3 % of all <inline-formula><mml:math id="M375" 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> values in the OCB region and 2.6 % in the PC at 300 <inline-formula><mml:math id="M376" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. In addition, these percentages are elevated by days were the electron density is generally high. <xref ref-type="bibr" rid="bib1.bibx13" id="text.57"/> use a threshold of 1800 <inline-formula><mml:math id="M377" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M378" 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> when identifying the dayside auroral region. This threshold agrees well with the separation between <inline-formula><mml:math id="M379" 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> on CFL and along the OCB in our dataset. The ESR data based electron heating model in <xref ref-type="bibr" rid="bib1.bibx11" id="text.58"/> suggests that electrons heated by precipitation on open field lines are separated from cool electrons on closed field lines at approximately 2000 <inline-formula><mml:math id="M380" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>. This also fits the presented separation.</p>
      <p id="d2e4789">In their model study, <xref ref-type="bibr" rid="bib1.bibx54" id="text.59"/> predict strongly enhanced <inline-formula><mml:math id="M381" 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> reaching up to 1000 <inline-formula><mml:math id="M382" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> peaking at around 300 <inline-formula><mml:math id="M383" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> due to cusp precipitation. The expected <inline-formula><mml:math id="M384" 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> are significantly lower for boundary layer precipitation, only a few <inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M386" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>. Our observed enhancements of up to 1000 <inline-formula><mml:math id="M387" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> is in agreement with these values, which might indicate that a large fraction of our observations contain cusp precipitation. Almost 65 <inline-formula><mml:math id="M388" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of the data points in this study is within the interval 10:30–13:30 <inline-formula><mml:math id="M389" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula> which is the most probable <inline-formula><mml:math id="M390" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula> range for cusp observation <xref ref-type="bibr" rid="bib1.bibx36" id="paren.60"/>.</p>
      <p id="d2e4888">In their study, <xref ref-type="bibr" rid="bib1.bibx23" id="text.61"/> observe altitude profiles of the ionospheric parameters within the cusp, the polar cap and equatorward of the dayside aurora with the ESR looking field aligned. However, their altitude profiles are not measured simultaneously and are separated by up to 30 <inline-formula><mml:math id="M391" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> and contains only a few minutes of data each. They observe <inline-formula><mml:math id="M392" 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> enhanced in the cusp region that are significantly higher than the temperatures in Fig. <xref ref-type="fig" rid="F5"/> at above 3500 <inline-formula><mml:math id="M393" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> at 400 <inline-formula><mml:math id="M394" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude. They observe lower temperatures in the polar cap than in the cusp, at even lower values than the sub-auroral <inline-formula><mml:math id="M395" 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>. Although the magnitudes differ, the results presented in Fig. <xref ref-type="fig" rid="F5"/> are similar and support these previous observations.</p>
      <p id="d2e4945">For the latitude variation, several points of interest are seen in Fig. <xref ref-type="fig" rid="F6"/>. The enhancements in <inline-formula><mml:math id="M396" 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> in panels (a)–(c) are wide with respect to latitude poleward of the OCB in the F-region. The width of the enhancements are slightly larger than what is expected of the cusp <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx56" id="paren.62"/>. For the interval 11:00–13:00 <inline-formula><mml:math id="M397" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula>, the equatorward <inline-formula><mml:math id="M398" 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> gradient is the strongest. This is a cusp signature <xref ref-type="bibr" rid="bib1.bibx40" id="paren.63"/>, consistent with strong anti-sunward flow of cool plasma recombining with heated plasma below the cusp. The fact that there is little to no visible latitude effects in the E-region <inline-formula><mml:math id="M399" 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> is explainable by considering that the low energy precipitation that heats the F-region electrons on open field lines does not reach E-region altitudes.</p>
      <p id="d2e4999">The increased variation in <inline-formula><mml:math id="M400" 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> on open field lines in Fig. <xref ref-type="fig" rid="F6"/>d–f matches the observations in the presented case examples, i.e. that the enhancements in <inline-formula><mml:math id="M401" 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> are more sporadic than <inline-formula><mml:math id="M402" 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>. Enhancements in <inline-formula><mml:math id="M403" 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> is also not necessarily coincident with <inline-formula><mml:math id="M404" 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> enhancements, which is also observed by <xref ref-type="bibr" rid="bib1.bibx40" id="text.64"/>. Increases in <inline-formula><mml:math id="M405" 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> are heavily linked to enhanced Joule heating rates that are linked to increased flows <xref ref-type="bibr" rid="bib1.bibx35" id="paren.65"><named-content content-type="pre">e.g.</named-content></xref>, meaning that <inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is likely enhanced where <inline-formula><mml:math id="M407" 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> is high. The increased variability in <inline-formula><mml:math id="M408" 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> on open field lines would be worthwhile a more detailed look in a future study.</p>
      <p id="d2e5113">The investigation of <inline-formula><mml:math id="M409" 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> in the E-region compared to the F-region (Fig. <xref ref-type="fig" rid="F7"/>) showed that there are slight <inline-formula><mml:math id="M410" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula> trends on CFL. The ratio decreases after 11:00 <inline-formula><mml:math id="M411" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula>. A small ratio signifies that the E-region is less dense or the F region density is larger. This scenario can be explained by low energy precipitation into a dark ionosphere, consistent with dayside precipitation from either the cusp or mantle <xref ref-type="bibr" rid="bib1.bibx37" id="paren.66"/>. Low energy precipitation does not penetrate into the E-region, which is depleted due to a lack of ionization in the dark ionosphere. The precipitation rather increases the density in the F-region. This process is used for identification of the cusp <xref ref-type="bibr" rid="bib1.bibx52" id="paren.67"><named-content content-type="pre">e.g.</named-content></xref>, where the cusp is found in regions with a depleted E region coincident with an enhanced F region <inline-formula><mml:math id="M412" 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>. <xref ref-type="bibr" rid="bib1.bibx52" id="text.68"/> use conditions on both the E and F region densities when identifying the cusp.</p>
      <p id="d2e5168">Although the error estimates and variation per <inline-formula><mml:math id="M413" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula> bin in our analysis are large, the trends are as expected. Denser E-regions are more likely on closed field lines especially pre-noon due a larger amount of higher energy precipitation on closed field lines pre-noon than compared to post-noon <xref ref-type="bibr" rid="bib1.bibx37" id="paren.69"/>. In addition, there is a larger amount of ionization due to solar EUV post-noon (09:00 <inline-formula><mml:math id="M414" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>). The effect of EUV ionization is largest in the F-region, but after noon, the shadow height is below 100 <inline-formula><mml:math id="M415" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude in the southern part of the ESR FOV. In Fig. <xref ref-type="fig" rid="F2"/> there is an increase of <inline-formula><mml:math id="M416" 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> at the equatorward edge of the FOV after 09:00 <inline-formula><mml:math id="M417" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> that grows poleward. The F-region <inline-formula><mml:math id="M418" 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> can also be affected by structures such as patches, which can influence the comparisons.</p>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d2e5240">The dayside auroral ionosphere is a dynamic region which is strongly affected by the solar wind-magnetosphere-ionosphere coupling. Several important ionospheric quantities, such as conductivities <xref ref-type="bibr" rid="bib1.bibx26" id="paren.70"/>, rely on how the ionosphere varies due to this coupling. Characterizing the behavior of the dayside auroral ionosphere is therefore valuable. In this paper, we have presented a quantitative analysis of the behavior of the ionospheric plasma parameters observed by ESR elevation scanning experiments. From the scans, the open-closed field line boundary (OCB) latitude was identified and the ionosphere was classified into three regions relative to the OCB. In addition to two case studies, we have presented statistical and superposed epoch analyses to investigate the variation with altitude and to the distance to the OCB. The presented case studies are highly different with respect to both the IMF conditions and the ionospheric behavior, and illustrate the dynamic nature of the region. For the two events, the ionosphere appears to be more stable for positive <inline-formula><mml:math id="M419" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, whereas for negative <inline-formula><mml:math id="M420" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the ionosphere is more structured and dynamic. Observed effects include patchy electron density <inline-formula><mml:math id="M421" 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> <xref ref-type="bibr" rid="bib1.bibx5" id="paren.71"/> and polar moving auroral forms <xref ref-type="bibr" rid="bib1.bibx22" id="paren.72"/>.</p>
      <p id="d2e5286">The statistical results show differences between the three regions. First, the ionospheric F-region electron temperature enhancements within the dayside auroral oval peak above 300 <inline-formula><mml:math id="M422" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> with 1000 <inline-formula><mml:math id="M423" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>. The enhancements are strongest in the OCB region and extend for several degrees in latitude poleward of the OCB latitude. Both the poleward <inline-formula><mml:math id="M424" 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> gradient across the OCB and the <inline-formula><mml:math id="M425" 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> values maximize at noon <inline-formula><mml:math id="M426" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula>, which corresponds to the time interval most likely containing the cusp. On average, <inline-formula><mml:math id="M427" 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> has a defined peak in the OCB region just below 300 <inline-formula><mml:math id="M428" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude, consistent with enhancements due to low energy precipitation. In the E-region, below that altitudes at which low energy precipitation typically deposit their energy <xref ref-type="bibr" rid="bib1.bibx27 bib1.bibx33 bib1.bibx54" id="paren.73"/>, the density decreases slightly with increasing latitude into the polar cap. The observed ratio between <inline-formula><mml:math id="M429" 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> in the E and F regions is larger on closed than on open field lines, indicative of higher energy precipitation in the former region. For <inline-formula><mml:math id="M430" 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>, the variability maximizes on open field lines, although the average values only increase slightly across the OCB.</p>
      <p id="d2e5380">To extend the statistical analysis, it could be beneficial to include field-aligned ESR observations. This would require a method modification, but would greatly increase the data set size and allow for investigation of larger temporal trends and solar cycle trends. In addition, future observations based on the current ESR, or even a new system would be valuable <xref ref-type="bibr" rid="bib1.bibx2" id="paren.74"/>. Nevertheless, the current data set based on ESR elevation scans made it possible to present a study characterizing the dynamic nature of the dayside auroral region with respect to both altitude and latitude.</p>
</sec>

      
      </body>
    <back><app-group>

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Table of ESR experiments</title>

<table-wrap id="TA1"><label>Table A1</label><caption><p id="d2e5401">Experiment modes (3rd column), scan orientations (4th column) and total time in minutes (5th column) of the 33 experiments used in this study.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <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:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Year</oasis:entry>
         <oasis:entry colname="col2">Date</oasis:entry>
         <oasis:entry colname="col3">Experiment mode</oasis:entry>
         <oasis:entry colname="col4">Scan orientation</oasis:entry>
         <oasis:entry colname="col5">Total time (minutes)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">2002</oasis:entry>
         <oasis:entry colname="col2">14 December</oasis:entry>
         <oasis:entry colname="col3">tau0</oasis:entry>
         <oasis:entry colname="col4">MAG</oasis:entry>
         <oasis:entry colname="col5">55</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">16 December</oasis:entry>
         <oasis:entry colname="col3">tau0</oasis:entry>
         <oasis:entry colname="col4">MAG</oasis:entry>
         <oasis:entry colname="col5">238</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2004</oasis:entry>
         <oasis:entry colname="col2">10 January</oasis:entry>
         <oasis:entry colname="col3">tau0</oasis:entry>
         <oasis:entry colname="col4">MAG</oasis:entry>
         <oasis:entry colname="col5">228</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">13 January</oasis:entry>
         <oasis:entry colname="col3">tau0</oasis:entry>
         <oasis:entry colname="col4">MAG</oasis:entry>
         <oasis:entry colname="col5">221</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">15 January</oasis:entry>
         <oasis:entry colname="col3">tau0</oasis:entry>
         <oasis:entry colname="col4">MAG</oasis:entry>
         <oasis:entry colname="col5">227</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">16 January</oasis:entry>
         <oasis:entry colname="col3">tau0</oasis:entry>
         <oasis:entry colname="col4">MAG</oasis:entry>
         <oasis:entry colname="col5">35</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">18 January</oasis:entry>
         <oasis:entry colname="col3">tau0</oasis:entry>
         <oasis:entry colname="col4">MAG</oasis:entry>
         <oasis:entry colname="col5">236</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">28 January</oasis:entry>
         <oasis:entry colname="col3">tau0</oasis:entry>
         <oasis:entry colname="col4">MAG</oasis:entry>
         <oasis:entry colname="col5">346</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">29 January</oasis:entry>
         <oasis:entry colname="col3">tau0</oasis:entry>
         <oasis:entry colname="col4">MAG</oasis:entry>
         <oasis:entry colname="col5">358</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">16 December</oasis:entry>
         <oasis:entry colname="col3">steffe</oasis:entry>
         <oasis:entry colname="col4">MAG</oasis:entry>
         <oasis:entry colname="col5">117</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2010</oasis:entry>
         <oasis:entry colname="col2">11 January</oasis:entry>
         <oasis:entry colname="col3">taro</oasis:entry>
         <oasis:entry colname="col4">MAG</oasis:entry>
         <oasis:entry colname="col5">146</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2 November</oasis:entry>
         <oasis:entry colname="col3">taro</oasis:entry>
         <oasis:entry colname="col4">MAG</oasis:entry>
         <oasis:entry colname="col5">151</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">3 November</oasis:entry>
         <oasis:entry colname="col3">taro</oasis:entry>
         <oasis:entry colname="col4">MAG</oasis:entry>
         <oasis:entry colname="col5">162</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">4 November</oasis:entry>
         <oasis:entry colname="col3">taro</oasis:entry>
         <oasis:entry colname="col4">MAG</oasis:entry>
         <oasis:entry colname="col5">149</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">10 November</oasis:entry>
         <oasis:entry colname="col3">taro</oasis:entry>
         <oasis:entry colname="col4">MAG</oasis:entry>
         <oasis:entry colname="col5">145</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">11 November</oasis:entry>
         <oasis:entry colname="col3">taro</oasis:entry>
         <oasis:entry colname="col4">MAG</oasis:entry>
         <oasis:entry colname="col5">150</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">12 November</oasis:entry>
         <oasis:entry colname="col3">taro</oasis:entry>
         <oasis:entry colname="col4">MAG</oasis:entry>
         <oasis:entry colname="col5">148</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">2011</oasis:entry>
         <oasis:entry colname="col2">4 January</oasis:entry>
         <oasis:entry colname="col3">taro</oasis:entry>
         <oasis:entry colname="col4">MAG</oasis:entry>
         <oasis:entry colname="col5">146</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">2012</oasis:entry>
         <oasis:entry colname="col2">16 December</oasis:entry>
         <oasis:entry colname="col3">folke</oasis:entry>
         <oasis:entry colname="col4">MAG</oasis:entry>
         <oasis:entry colname="col5">234</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">2013</oasis:entry>
         <oasis:entry colname="col2">16 January</oasis:entry>
         <oasis:entry colname="col3">folke</oasis:entry>
         <oasis:entry colname="col4">MAG</oasis:entry>
         <oasis:entry colname="col5">186</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2014</oasis:entry>
         <oasis:entry colname="col2">28 November</oasis:entry>
         <oasis:entry colname="col3">taro</oasis:entry>
         <oasis:entry colname="col4">GEO</oasis:entry>
         <oasis:entry colname="col5">30</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">29 November</oasis:entry>
         <oasis:entry colname="col3">taro</oasis:entry>
         <oasis:entry colname="col4">GEO</oasis:entry>
         <oasis:entry colname="col5">44</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2 December</oasis:entry>
         <oasis:entry colname="col3">taro</oasis:entry>
         <oasis:entry colname="col4">GEO</oasis:entry>
         <oasis:entry colname="col5">202</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">3 December</oasis:entry>
         <oasis:entry colname="col3">taro</oasis:entry>
         <oasis:entry colname="col4">GEO</oasis:entry>
         <oasis:entry colname="col5">111</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">4 December</oasis:entry>
         <oasis:entry colname="col3">taro</oasis:entry>
         <oasis:entry colname="col4">GEO</oasis:entry>
         <oasis:entry colname="col5">208</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">5 December</oasis:entry>
         <oasis:entry colname="col3">taro</oasis:entry>
         <oasis:entry colname="col4">GEO</oasis:entry>
         <oasis:entry colname="col5">236</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">7 December</oasis:entry>
         <oasis:entry colname="col3">taro</oasis:entry>
         <oasis:entry colname="col4">GEO</oasis:entry>
         <oasis:entry colname="col5">86</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2015</oasis:entry>
         <oasis:entry colname="col2">27 November</oasis:entry>
         <oasis:entry colname="col3">taro</oasis:entry>
         <oasis:entry colname="col4">GEO</oasis:entry>
         <oasis:entry colname="col5">264</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">28 November</oasis:entry>
         <oasis:entry colname="col3">taro</oasis:entry>
         <oasis:entry colname="col4">GEO</oasis:entry>
         <oasis:entry colname="col5">266</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">29 November</oasis:entry>
         <oasis:entry colname="col3">taro</oasis:entry>
         <oasis:entry colname="col4">GEO</oasis:entry>
         <oasis:entry colname="col5">116</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">30 November</oasis:entry>
         <oasis:entry colname="col3">taro</oasis:entry>
         <oasis:entry colname="col4">GEO</oasis:entry>
         <oasis:entry colname="col5">265</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2 December</oasis:entry>
         <oasis:entry colname="col3">taro</oasis:entry>
         <oasis:entry colname="col4">GEO</oasis:entry>
         <oasis:entry colname="col5">266</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">5 December</oasis:entry>
         <oasis:entry colname="col3">taro</oasis:entry>
         <oasis:entry colname="col4">GEO</oasis:entry>
         <oasis:entry colname="col5">266</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>


</app>
  </app-group><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d2e6024">The AE index used in this paper was retrieved from WDC for Geomagnetism, Kyoto at <ext-link xlink:href="https://doi.org/10.17593/15031-54800" ext-link-type="DOI">10.17593/15031-54800</ext-link>  <xref ref-type="bibr" rid="bib1.bibx58 bib1.bibx7" id="paren.75"/>. The IMF data was obtained from the OMNIWeb database at <ext-link xlink:href="https://doi.org/10.48322/45BB-8792" ext-link-type="DOI">10.48322/45BB-8792</ext-link> <xref ref-type="bibr" rid="bib1.bibx17 bib1.bibx16" id="paren.76"/>. The EISCAT data measurements were retrieved from the EISCAT portal data view at <uri>https://portal.eiscat.se/schedule</uri> (last access: 23 June 2026). It is also available in analysed form through the EISCAT madrigal portal <uri>https://madrigal.eiscat.se/</uri> (last access: 23 June 2026). The PCN index was retrieved from the Technical University of Denmark (DTU) at <ext-link xlink:href="https://doi.org/10.11581/DTU:00000057" ext-link-type="DOI">10.11581/DTU:00000057</ext-link> <xref ref-type="bibr" rid="bib1.bibx57" id="paren.77"/>. For this study, the Python packages aacgmv2 (<ext-link xlink:href="https://doi.org/10.5281/zenodo.7621545" ext-link-type="DOI">10.5281/zenodo.7621545</ext-link>, <xref ref-type="bibr" rid="bib1.bibx4" id="altparen.78"/>; <xref ref-type="bibr" rid="bib1.bibx51" id="altparen.79"/>) and PyEphem (<uri>https://www.ascl.net/1112.014</uri>, <xref ref-type="bibr" rid="bib1.bibx44" id="altparen.80"/> were used. All figures were created using Matplotlib in Python <xref ref-type="bibr" rid="bib1.bibx12" id="paren.81"/>.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e6074">IF performed the analysis, made the figures and prepared the initial manuscript with contributions from AS. All authors contributed to the discussion and interpretation of the results and the final manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e6080">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e6086">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="d2e6092">We acknowledge EISCAT. EISCAT is an international association supported by research organizations in China (CRIRP), Finland (SA), Japan (NIPR and ISEE), Norway (NFR), Sweden (VR), and the United Kingdom (UKRI). The authors acknowledge funding from the Research Council of Norway.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e6097">This research has been supported by the Research Council of Norway (RCN) (grant no. 326039).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e6104">This paper was edited by Ana G. Elias and reviewed by two anonymous referees.</p>
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