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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Solar-Terrestrial Physics</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Solar-Terrestrial Physics</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Solar-Terrestrial Physics</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="online">2500-0535</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">6a9c168032807fdbab8763a7</article-id>
   <article-id pub-id-type="doi">10.12737/stp-123202609</article-id>
   <article-id pub-id-type="edn">avtagh</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>Results of current research</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>Results of current research</subject>
    </subj-group>
    <subj-group>
     <subject>Results of current research</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Dependence of occurrence probability of the sporadic Eₛ layer on solar activity at different values of Eₛ critical frequency</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Dependence of occurrence probability of the sporadic Eₛ layer on solar activity at different values of Eₛ critical frequency</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Воронова</surname>
       <given-names>Екатерина Андреевна</given-names>
      </name>
      <name xml:lang="en">
       <surname>Voronova</surname>
       <given-names>Ekaterina Yurevna</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0847-3553</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Ратовский</surname>
       <given-names>Константин Геннадьевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Ratovsky</surname>
       <given-names>Konstantin Gennadyevich</given-names>
      </name>
     </name-alternatives>
     <email>ratovsky@iszf.irk.ru</email>
     <bio xml:lang="ru">
      <p>кандидат физико-математических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>candidate of physical and mathematical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0576-5443</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Тимченко</surname>
       <given-names>Александр Владимирович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Timchenko</surname>
       <given-names>Aleksandr Vladimirovich</given-names>
      </name>
     </name-alternatives>
     <email>aleksandr.timchenko77@gmail.com</email>
     <xref ref-type="aff" rid="aff-3"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-2254-6138</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Белинская</surname>
       <given-names>Анастасия Юрьевна</given-names>
      </name>
      <name xml:lang="en">
       <surname>Belinskaya</surname>
       <given-names>Anastasiya Yuryevna</given-names>
      </name>
     </name-alternatives>
     <email>belinskayaay@ipgg.sbras.ru</email>
     <bio xml:lang="ru">
      <p>кандидат физико-математических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>candidate of physical and mathematical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-4"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Сенягин</surname>
       <given-names>Егор Дмитриевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Senyagin</surname>
       <given-names>Egor Dmitrievich</given-names>
      </name>
     </name-alternatives>
     <email>senaginegor@gmail.com</email>
     <xref ref-type="aff" rid="aff-5"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Институт солнечно-земной физики СО РАН</institution>
     <city xml:lang="ru">Иркутск</city>
     <country country="RU" xml:lang="ru">Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Solar-Terrestrial Physics SB RAS</institution>
     <city xml:lang="en">Irkutsk</city>
     <country country="RU" xml:lang="en">Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Институт солнечно-земной физики СО РАН</institution>
     <city xml:lang="ru">Иркутск</city>
     <country country="RU" xml:lang="ru">Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Solar-Terrestrial Physics SB RAS</institution>
     <city xml:lang="en">Irkutsk</city>
     <country country="RU" xml:lang="en">Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-3">
    <aff>
     <institution xml:lang="ru">Калининградский филиал Института земного магнетизма, ионосферы и распространения радиоволн им. Н.В. Пушкова РАН</institution>
     <city xml:lang="ru">Калининград</city>
     <country country="RU" xml:lang="ru">Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">West Department of Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation RAS</institution>
     <city xml:lang="en">Kaliningrad</city>
     <country country="RU" xml:lang="en">Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-4">
    <aff>
     <institution xml:lang="ru">Институт нефтегазовой геологии и геофизики им. А.А. Трофимука СО РАН</institution>
     <city xml:lang="ru">Новосибирск</city>
     <country country="RU" xml:lang="ru">Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Trofimuk Institute of Petroleum Geology and Geophysics SB RAS</institution>
     <city xml:lang="en">Novosibirsk</city>
     <country country="RU" xml:lang="en">Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-5">
    <aff>
     <institution xml:lang="ru">Калининградский филиал Института земного магнетизма, ионосферы и распространения радиоволн им. Н.В. Пушкова РАН</institution>
     <city xml:lang="ru">Калининград</city>
     <country country="RU" xml:lang="ru">Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">West Department of Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation RAS</institution>
     <city xml:lang="en">Kaliningrad</city>
     <country country="RU" xml:lang="en">Russian Federation</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2026-09-19T15:03:28+03:00">
    <day>19</day>
    <month>09</month>
    <year>2026</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-09-19T15:03:28+03:00">
    <day>19</day>
    <month>09</month>
    <year>2026</year>
   </pub-date>
   <volume>12</volume>
   <issue>3</issue>
   <fpage>81</fpage>
   <lpage>88</lpage>
   <history>
    <date date-type="received" iso-8601-date="2026-02-27T00:00:00+03:00">
     <day>27</day>
     <month>02</month>
     <year>2026</year>
    </date>
    <date date-type="accepted" iso-8601-date="2026-05-15T00:00:00+03:00">
     <day>15</day>
     <month>05</month>
     <year>2026</year>
    </date>
   </history>
   <permissions>
    <copyright-statement xml:lang="ru">© 2026 Воронова Е.А., Ратовский К.Г., Тимченко А.В., Белинская А.Ю., Сенягин Е.Д.</copyright-statement>
    <copyright-statement xml:lang="en">© 2026 Voronova E.Y., Ratovsky K.G., Timchenko A.V., Belinskaya A.Y., Senyagin E.D.</copyright-statement>
    <copyright-year>2026</copyright-year>
    <copyright-holder xml:lang="ru">Воронова Екатерина Андреевна, Ратовский Константин Геннадьевич, Тимченко Александр Владимирович, Белинская Анастасия Юрьевна, Сенягин Егор Дмитриевич</copyright-holder>
    <copyright-holder xml:lang="en">Voronova Ekaterina Yurevna, Ratovsky Konstantin Gennadyevich, Timchenko Aleksandr Vladimirovich, Belinskaya Anastasiya Yuryevna, Senyagin Egor Dmitrievich</copyright-holder>
   </permissions>
   <self-uri xlink:href="https://zh-szf.ru/en/nauka/publications/6a9c168032807fdbab8763a7/view">https://zh-szf.ru/en/nauka/publications/6a9c168032807fdbab8763a7/view</self-uri>
   <abstract xml:lang="ru">
    <p>The aim of the paper is to study the dependence of the occurrence probability of the sporadic Eₛ layer on solar activity at different values of the Es critical frequency. The paper uses data from ionosondes at Irkutsk (52.3° N, 104.3° E), Kaliningrad (54.36° N, 20.12° E), and Novosibirsk (54.84° N, 83.23° E). A new method for correlation analysis of the relationship between the Es occurrence probability and solar activity has been developed. The method involves calculating the correlation coefficients R between annual average values of the solar activity index F10.7 and annual average occurrence probabilities of sporadic Eₛ layer, whose critical frequency fₒEₛ is in the range fᵢ÷fᵢ₊₁. As a result of applying the new method, we have found that the correlation coefficients are negative for the fₒEₛ ranges of 1–2 and 2–3 MHz and positive for 4–5 MHz for all three stations; however, the results for fₒEₛ&gt;5 MHz differ for different stations. The obtained results are interpreted on the basis of three factors of solar activity influence: 1) increase in photoionization; 2) weakening of the zonal component of the prevailing wind; 3) increase in absorption of radio waves in the underlying layers of the ionosphere.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>The aim of the paper is to study the dependence of the occurrence probability of the sporadic Eₛ layer on solar activity at different values of the Es critical frequency. The paper uses data from ionosondes at Irkutsk (52.3° N, 104.3° E), Kaliningrad (54.36° N, 20.12° E), and Novosibirsk (54.84° N, 83.23° E). A new method for correlation analysis of the relationship between the Es occurrence probability and solar activity has been developed. The method involves calculating the correlation coefficients R between annual average values of the solar activity index F10.7 and annual average occurrence probabilities of sporadic Eₛ layer, whose critical frequency fₒEₛ is in the range fᵢ÷fᵢ₊₁. As a result of applying the new method, we have found that the correlation coefficients are negative for the fₒEₛ ranges of 1–2 and 2–3 MHz and positive for 4–5 MHz for all three stations; however, the results for fₒEₛ&gt;5 MHz differ for different stations. The obtained results are interpreted on the basis of three factors of solar activity influence: 1) increase in photoionization; 2) weakening of the zonal component of the prevailing wind; 3) increase in absorption of radio waves in the underlying layers of the ionosphere.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>ionosphere</kwd>
    <kwd>sporadic ionosphere</kwd>
    <kwd>solar activity</kwd>
    <kwd>correlation coefficients</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>ionosphere</kwd>
    <kwd>sporadic ionosphere</kwd>
    <kwd>solar activity</kwd>
    <kwd>correlation coefficients</kwd>
   </kwd-group>
   <funding-group>
    <funding-statement xml:lang="ru">The research was financially supported by the Russian Science Foundation (Grant No. 25-17-00187 [https://rscf.ru/project/25-17-00187/]). The work was financially supported by the Ministry of Science and Higher Education of the Russian Federation in terms of observations and primary data processing (Project FWZZ-2026-0051)</funding-statement>
    <funding-statement xml:lang="en">The research was financially supported by the Russian Science Foundation (Grant No. 25-17-00187 [https://rscf.ru/project/25-17-00187/]). The work was financially supported by the Ministry of Science and Higher Education of the Russian Federation in terms of observations and primary data processing (Project FWZZ-2026-0051)</funding-statement>
   </funding-group>
  </article-meta>
 </front>
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 <back>
  <ref-list>
   <ref id="B1">
    <label>1.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Chavdarov S.S., Chasovitin Yu.K., Chernysheva S.P., Sheftel V.M. The Midlatitude Sporadic Layer of the Ionospheric E Region. Moscow, Nauka Publ., 1975, 148 p. (In Russian).</mixed-citation>
     <mixed-citation xml:lang="en">Chavdarov S.S., Chasovitin Yu.K., Chernysheva S.P., Sheftel V.M. The Midlatitude Sporadic Layer of the Ionospheric E Region. Moscow, Nauka Publ., 1975, 148 p. (In Russian).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B2">
    <label>2.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Laštovička J., Boška J., Burešová D., Kouba D. High historical values of foEs — Reality or artefact? J. Atmos. Solar Terr. Phys. 2012, vol. 74, pp. 51–54. https://doi.org/10.1016/j.jastp.2011.10.008.</mixed-citation>
     <mixed-citation xml:lang="en">Laštovička J., Boška J., Burešová D., Kouba D. High historical values of foEs — Reality or artefact? J. Atmos. Solar Terr. Phys. 2012, vol. 74, pp. 51–54. https://doi.org/10.1016/j.jastp.2011.10.008.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B3">
    <label>3.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Maksyutin S.V., Sherstyukov O.N. Dependence of E-sporadic layer response on solar and geomagnetic activity variations from its ion composition. Adv. Space Res. 2005, vol. 35, iss. 8, pp. 1496–1499. https://doi.org/10.1016/j.asr.2005.05.062.</mixed-citation>
     <mixed-citation xml:lang="en">Maksyutin S.V., Sherstyukov O.N. Dependence of E-sporadic layer response on solar and geomagnetic activity variations from its ion composition. Adv. Space Res. 2005, vol. 35, iss. 8, pp. 1496–1499. https://doi.org/10.1016/j.asr.2005.05.062.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B4">
    <label>4.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Maksyutin S.V., Sherstyukov O.N., Fahrutdinova A.N. Dependence of sporadic‐E layer and lower thermosphere dynamics on solar activity. Adv. Space Res. 2001, vol. 27, iss. 6‐7, pp. 1265–1270. https://doi.org/10.1016/s0273‐1177(01)00195‐8.</mixed-citation>
     <mixed-citation xml:lang="en">Maksyutin S.V., Sherstyukov O.N., Fahrutdinova A.N. Dependence of sporadic‐E layer and lower thermosphere dynamics on solar activity. Adv. Space Res. 2001, vol. 27, iss. 6‐7, pp. 1265–1270. https://doi.org/10.1016/s0273‐1177(01)00195‐8.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B5">
    <label>5.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Niu J., Weng L.B., Meng X., Fang H.X. Morphology of Ionospheric Sporadic E Layer Intensity Based on COSMIC Occultation Data in the Midlatitude and Low‐Latitude Regions. J. Geophys. Res.: Space Phys. 2019, vol. 124, iss. 6, pp. 4796–4808. https://doi.org/10.1029/2019JA026828.</mixed-citation>
     <mixed-citation xml:lang="en">Niu J., Weng L.B., Meng X., Fang H.X. Morphology of Ionospheric Sporadic E Layer Intensity Based on COSMIC Occultation Data in the Midlatitude and Low‐Latitude Regions. J. Geophys. Res.: Space Phys. 2019, vol. 124, iss. 6, pp. 4796–4808. https://doi.org/10.1029/2019JA026828.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B6">
    <label>6.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Pezzopane M., Pignalberi A., Pietrella M. On the influence of solar activity on the mid-latitude sporadic E layer. J. Space Weather Space Clim. 2015, vol. 5, A31. https://doi.org/10.1051/swsc/2015031.</mixed-citation>
     <mixed-citation xml:lang="en">Pezzopane M., Pignalberi A., Pietrella M. On the influence of solar activity on the mid-latitude sporadic E layer. J. Space Weather Space Clim. 2015, vol. 5, A31. https://doi.org/10.1051/swsc/2015031.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B7">
    <label>7.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Pietrella M., Bianchi C. Occurrence of sporadic-E layer over the ionospheric station of Rome: Analysis of data for thirty-two years. Adv. Space Res. 2009, vol. 44, iss. 1, pp. 72–81. https://doi.org/10.1016/j.asr.2009.03.006.</mixed-citation>
     <mixed-citation xml:lang="en">Pietrella M., Bianchi C. Occurrence of sporadic-E layer over the ionospheric station of Rome: Analysis of data for thirty-two years. Adv. Space Res. 2009, vol. 44, iss. 1, pp. 72–81. https://doi.org/10.1016/j.asr.2009.03.006.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B8">
    <label>8.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Sivakandan M., Mielich J., Renkwitz T., et al. Long-term variations and residual trends in the E, F, and sporadic E (Es) layer over Juliusruh, Europe. J. Geophys. Res.: Space Phys. 2023, vol. 128, no. 4. https://doi.org/10.1029/2022JA031097.</mixed-citation>
     <mixed-citation xml:lang="en">Sivakandan M., Mielich J., Renkwitz T., et al. Long-term variations and residual trends in the E, F, and sporadic E (Es) layer over Juliusruh, Europe. J. Geophys. Res.: Space Phys. 2023, vol. 128, no. 4. https://doi.org/10.1029/2022JA031097.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B9">
    <label>9.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Zhang Y., Wu J., Guo L., et al. Influence of solar and geomagnetic activity on sporadic-E layer over low, mid and high latitude stations. Adv. Space Res. 2015, vol. 55, iss. 5, pp. 1366–1371. https://doi.org/10.1016/J.ASR.2014.12.010.</mixed-citation>
     <mixed-citation xml:lang="en">Zhang Y., Wu J., Guo L., et al. Influence of solar and geomagnetic activity on sporadic-E layer over low, mid and high latitude stations. Adv. Space Res. 2015, vol. 55, iss. 5, pp. 1366–1371. https://doi.org/10.1016/J.ASR.2014.12.010.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B10">
    <label>10.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Zuo X.-M., Wan W.-X. The correlation between sporadic E-layers and solar activities. Chinese J. Geophys. 2002, vol. 45, pp. 803–809. https://doi.org/10.1002/cjg2.295.</mixed-citation>
     <mixed-citation xml:lang="en">Zuo X.-M., Wan W.-X. The correlation between sporadic E-layers and solar activities. Chinese J. Geophys. 2002, vol. 45, pp. 803–809. https://doi.org/10.1002/cjg2.295.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B11">
    <label>11.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">URL: https://rscf.ru/project/25-17-00187/ (accessed May 12, 2026).</mixed-citation>
     <mixed-citation xml:lang="en">URL: https://rscf.ru/project/25-17-00187/ (accessed May 12, 2026).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B12">
    <label>12.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">URL: http://ckp-rf.ru/ckp/3056/l (accessed May 12, 2026).</mixed-citation>
     <mixed-citation xml:lang="en">URL: http://ckp-rf.ru/ckp/3056/l (accessed May 12, 2026).</mixed-citation>
    </citation-alternatives>
   </ref>
  </ref-list>
 </back>
</article>
