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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Russian Journal of Earth Sciences</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Russian Journal of Earth Sciences</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Russian Journal of Earth Sciences</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="online">1681-1208</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">90779</article-id>
   <article-id pub-id-type="doi">10.2205/2025ES000978</article-id>
   <article-id pub-id-type="edn">mslqep</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>Спецвыпуск: &quot;Наука о данных, геоинформатика и системный анализ в изучении Земли&quot;</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>Special Issue: “Data Science, Geoinformatics and Systems Analysis in Geosciences”</subject>
    </subj-group>
    <subj-group>
     <subject>Спецвыпуск: &quot;Наука о данных, геоинформатика и системный анализ в изучении Земли&quot;</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Method for Detection of Forbush Effects in Cosmic Ray Flux According to Neutron Monitors Data Using Wavelet Transform</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Method for Detection of Forbush Effects in Cosmic Ray Flux According to Neutron Monitors Data Using Wavelet Transform</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-6172-1827</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Мандрикова</surname>
       <given-names>Оксана В.</given-names>
      </name>
      <name xml:lang="en">
       <surname>Mandrikova</surname>
       <given-names>Oksana V.</given-names>
      </name>
     </name-alternatives>
     <email>oksanam1@mail.ru</email>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0009-0006-8027-378X</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Мандрикова</surname>
       <given-names>Богдана С.</given-names>
      </name>
      <name xml:lang="en">
       <surname>Mandrikova</surname>
       <given-names>Bogdana S.</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Институт космофизических исследований и распространения радиоволн ДВО РАН</institution>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Cosmophysical Research and Radio Wave Propagation, FEB RAS</institution>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Институт космофизических исследований и распространения радиоволн ДВО РАН</institution>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Cosmophysical Research and Radio Wave Propagation, FEB RAS</institution>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2025-05-23T16:41:25+03:00">
    <day>23</day>
    <month>05</month>
    <year>2025</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2025-05-23T16:41:25+03:00">
    <day>23</day>
    <month>05</month>
    <year>2025</year>
   </pub-date>
   <volume>25</volume>
   <issue>2</issue>
   <fpage>1</fpage>
   <lpage>8</lpage>
   <history>
    <date date-type="received" iso-8601-date="2024-11-15T00:00:00+03:00">
     <day>15</day>
     <month>11</month>
     <year>2024</year>
    </date>
    <date date-type="accepted" iso-8601-date="2025-04-15T00:00:00+03:00">
     <day>15</day>
     <month>04</month>
     <year>2025</year>
    </date>
   </history>
   <self-uri xlink:href="https://rjes.ru/en/nauka/article/90779/view">https://rjes.ru/en/nauka/article/90779/view</self-uri>
   <abstract xml:lang="ru">
    <p>The method developed by the authors for detection of Forbush effects in cosmic ray variations based on ground data of neutron monitors is presented. The method is based on the synthesis of the classical theory of risks with nonlinear approximating schemes in wavelet bases. The basis of the method are the rules composed by the authors. Numerical realization of the developed rules makes it possible to obtain a solution close to optimal without pre-training in near real-time mode. On the example of periods of extreme magnetic storms in 2024, method results confirming its efficiency are illustrated. General anomalous dynamics of the cosmic ray flux is distinguished. Anomalous changes, preceding the beginnings of the events under analysis, were discovered. The observed correlation with the changes of interplanetary environment parameters indicates the reliability of the obrained results.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>The method developed by the authors for detection of Forbush effects in cosmic ray variations based on ground data of neutron monitors is presented. The method is based on the synthesis of the classical theory of risks with nonlinear approximating schemes in wavelet bases. The basis of the method are the rules composed by the authors. Numerical realization of the developed rules makes it possible to obtain a solution close to optimal without pre-training in near real-time mode. On the example of periods of extreme magnetic storms in 2024, method results confirming its efficiency are illustrated. General anomalous dynamics of the cosmic ray flux is distinguished. Anomalous changes, preceding the beginnings of the events under analysis, were discovered. The observed correlation with the changes of interplanetary environment parameters indicates the reliability of the obrained results.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>data analysis method</kwd>
    <kwd>cosmic rays</kwd>
    <kwd>neutron monitor data</kwd>
    <kwd>Forbush effects</kwd>
    <kwd>magnetic storms</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>data analysis method</kwd>
    <kwd>cosmic rays</kwd>
    <kwd>neutron monitor data</kwd>
    <kwd>Forbush effects</kwd>
    <kwd>magnetic storms</kwd>
   </kwd-group>
   <funding-group>
    <funding-statement xml:lang="ru">The work was supported by the State Task of IKIR FEB RAS (No. 124012300245-2).</funding-statement>
    <funding-statement xml:lang="en">The work was supported by the State Task of IKIR FEB RAS (No. 124012300245-2).</funding-statement>
   </funding-group>
  </article-meta>
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 <back>
  <ref-list>
   <ref id="B1">
    <label>1.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Badruddin B., Aslam O. P. M., Derouich M., et al. Forbush Decreases and Geomagnetic Storms During a Highly Disturbed Solar and Interplanetary Period, 4–10 September 2017 // Space Weather. — 2019. — Vol. 17, no. 3. — P. 487–496. — DOI: 10.1029/2018sw001941.</mixed-citation>
     <mixed-citation xml:lang="en">Badruddin B., Aslam O. P. M., Derouich M., et al. Forbush Decreases and Geomagnetic Storms During a Highly Disturbed Solar and Interplanetary Period, 4–10 September 2017 // Space Weather. — 2019. — Vol. 17, no. 3. — P. 487–496. — DOI: 10.1029/2018sw001941.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B2">
    <label>2.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Belov A. V., Eroshenko E. A., Yanke V. G., et al. Global Survey Method for the World Network of Neutron Monitors // Geomagnetism and Aeronomy. — 2018. — Vol. 58, no. 3. — P. 356–372. — DOI: 10.1134/S0016793218030039.</mixed-citation>
     <mixed-citation xml:lang="en">Belov A. V., Eroshenko E. A., Yanke V. G., et al. Global Survey Method for the World Network of Neutron Monitors // Geomagnetism and Aeronomy. — 2018. — Vol. 58, no. 3. — P. 356–372. — DOI: 10.1134/S0016793218030039.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B3">
    <label>3.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Borog V. V., Kryanev A. V., Udumyan D. K. Combined method for detecting hidden anomalies in galactic cosmic ray variations // Geomagnetism and Aeronomy. — 2011. — Vol. 51, no. 4. — P. 475–482. — DOI: 10.1134/s0016793211040086.</mixed-citation>
     <mixed-citation xml:lang="en">Borog V. V., Kryanev A. V., Udumyan D. K. Combined method for detecting hidden anomalies in galactic cosmic ray variations // Geomagnetism and Aeronomy. — 2011. — Vol. 51, no. 4. — P. 475–482. — DOI: 10.1134/s0016793211040086.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B4">
    <label>4.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Dorman L. I. Space weather and dangerous phenomena on the Earth: principles of great geomagnetic storms forcasting by online cosmic ray data // Annales Geophysicae. — 2005. — Vol. 23, no. 9. — P. 2997–3002. — DOI: 10.5194/angeo23-2997-2005.</mixed-citation>
     <mixed-citation xml:lang="en">Dorman L. I. Space weather and dangerous phenomena on the Earth: principles of great geomagnetic storms forcasting by online cosmic ray data // Annales Geophysicae. — 2005. — Vol. 23, no. 9. — P. 2997–3002. — DOI: 10.5194/angeo23-2997-2005.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B5">
    <label>5.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Getmanov V. G., Gvishiani A. D., Soloviev A. A. Methods of digital processing of matrix time series of observations of muon fluxes for geophysical research. — Moscow : RAS, 2023. — 184 p. — (In Russian).</mixed-citation>
     <mixed-citation xml:lang="en">Getmanov V. G., Gvishiani A. D., Soloviev A. A. Methods of digital processing of matrix time series of observations of muon fluxes for geophysical research. — Moscow : RAS, 2023. — 184 p. — (In Russian).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B6">
    <label>6.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Getmanov V. G., Gvishiani A. D., Soloviev A. A., et al. Recognition of geomagnetic storms from time series of matrix observations with the muon hodoscope URAGAN using neural networks of deep learning // Solar-Terrestrial Physics. — 2024. — Vol. 10, issue 1, no. 1. — P. 76–83. — DOI: 10.12737/stp-101202411.</mixed-citation>
     <mixed-citation xml:lang="en">Getmanov V. G., Gvishiani A. D., Soloviev A. A., et al. Recognition of geomagnetic storms from time series of matrix observations with the muon hodoscope URAGAN using neural networks of deep learning // Solar-Terrestrial Physics. — 2024. — Vol. 10, issue 1, no. 1. — P. 76–83. — DOI: 10.12737/stp-101202411.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B7">
    <label>7.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Kalashev O., Pshirkov M., Zotov M. Identifying nearby sources of ultra-high-energy cosmic rays with deep learning // Journal of Cosmology and Astroparticle Physics. — 2020. — No. 11. — DOI: 10.1088/1475-7516/2020/11/005.</mixed-citation>
     <mixed-citation xml:lang="en">Kalashev O., Pshirkov M., Zotov M. Identifying nearby sources of ultra-high-energy cosmic rays with deep learning // Journal of Cosmology and Astroparticle Physics. — 2020. — No. 11. — DOI: 10.1088/1475-7516/2020/11/005.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B8">
    <label>8.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Kovylyaeva A. A., Astapov I. I., Barbashina N. S., et al. Investigating Characteristics of Forbush Effects Recorded by the URAGAN Muon Hodoscope in the Period 2012–2017 // Bulletin of the Russian Academy of Sciences: Physics. — 2019. — Vol. 83, no. 5. — P. 563–565. — DOI: 10.3103/s1062873819050174. — (In Russian).</mixed-citation>
     <mixed-citation xml:lang="en">Kovylyaeva A. A., Astapov I. I., Barbashina N. S., et al. Investigating Characteristics of Forbush Effects Recorded by the URAGAN Muon Hodoscope in the Period 2012–2017 // Bulletin of the Russian Academy of Sciences: Physics. — 2019. — Vol. 83, no. 5. — P. 563–565. — DOI: 10.3103/s1062873819050174. — (In Russian).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B9">
    <label>9.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Krymsky G. F., Altukhov A. M., Kuzmin A. I. — Moscow : New method for studying the anisotropy of cosmic rays. Research on geomagnetism, aeronomy, 1966. — 105 p. — (In Russian).</mixed-citation>
     <mixed-citation xml:lang="en">Krymsky G. F., Altukhov A. M., Kuzmin A. I. — Moscow : New method for studying the anisotropy of cosmic rays. Research on geomagnetism, aeronomy, 1966. — 105 p. — (In Russian).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B10">
    <label>10.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Kuznetsov V. D. Space weather and risks of space activity // Space technique and technologies. — 2014. — Vol. 3. — P. 3–13. — EDN: TEMDOH. (In Russian).</mixed-citation>
     <mixed-citation xml:lang="en">Kuznetsov V. D. Space weather and risks of space activity // Space technique and technologies. — 2014. — Vol. 3. — P. 3–13. — EDN: TEMDOH. (In Russian).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B11">
    <label>11.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Levin B. R. Theoretical Foundations of Statistical Radio Engineering. — Moscow, Russia : Radio i Svyaz’, 1989. — (In Russian).</mixed-citation>
     <mixed-citation xml:lang="en">Levin B. R. Theoretical Foundations of Statistical Radio Engineering. — Moscow, Russia : Radio i Svyaz’, 1989. — (In Russian).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B12">
    <label>12.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Lukovenkova O. O., V. M. Y., Tristanov A. B., et al. Optimization of adaptive matching pursuit method to analyze geoacoustic emission signals // Vestnik KRAUNC. Fiziko-matematiceskie nauki. — 2018. — Vol. 24, no. 4. — P. 197–207. — DOI: 10.18454/2079-6641-2018-24-4-197-207.</mixed-citation>
     <mixed-citation xml:lang="en">Lukovenkova O. O., V. M. Y., Tristanov A. B., et al. Optimization of adaptive matching pursuit method to analyze geoacoustic emission signals // Vestnik KRAUNC. Fiziko-matematiceskie nauki. — 2018. — Vol. 24, no. 4. — P. 197–207. — DOI: 10.18454/2079-6641-2018-24-4-197-207.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B13">
    <label>13.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Mallat S. A Wavelet Tour of Signal Processing. — London, UK : Academic Press, 1999. — 620 p.</mixed-citation>
     <mixed-citation xml:lang="en">Mallat S. A Wavelet Tour of Signal Processing. — London, UK : Academic Press, 1999. — 620 p.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B14">
    <label>14.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Mandrikova O., Zalyaev T. Modeling of cosmic ray variations based on combining multiscale wavelet decompositions and variable structure neural networks // Digital signal processing. — 2015. — Vol. 1. — P. 11–16. — EDN: TSNQIP. (In Russian).</mixed-citation>
     <mixed-citation xml:lang="en">Mandrikova O., Zalyaev T. Modeling of cosmic ray variations based on combining multiscale wavelet decompositions and variable structure neural networks // Digital signal processing. — 2015. — Vol. 1. — P. 11–16. — EDN: TSNQIP. (In Russian).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B15">
    <label>15.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Mandrikova O., Mandrikova B. Method of Wavelet-Decomposition to Research Cosmic Ray Variations: Application in Space Weather // Symmetry. — 2021. — Vol. 13, no. 12. — DOI: 10.3390/sym13122313.</mixed-citation>
     <mixed-citation xml:lang="en">Mandrikova O., Mandrikova B. Method of Wavelet-Decomposition to Research Cosmic Ray Variations: Application in Space Weather // Symmetry. — 2021. — Vol. 13, no. 12. — DOI: 10.3390/sym13122313.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B16">
    <label>16.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Mandrikova O., Mandrikova B. Hybrid Model of Natural Time Series with Neural Network Component and Adaptive Nonlinear Scheme: Application for Anomaly Detection // Mathematics. — 2024. — Vol. 12, no. 7. — P. 1079. — DOI: 10.3390/math12071079.</mixed-citation>
     <mixed-citation xml:lang="en">Mandrikova O., Mandrikova B. Hybrid Model of Natural Time Series with Neural Network Component and Adaptive Nonlinear Scheme: Application for Anomaly Detection // Mathematics. — 2024. — Vol. 12, no. 7. — P. 1079. — DOI: 10.3390/math12071079.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B17">
    <label>17.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Mandrikova O. Intelligent methods for natural data analysis: application to space weather // Computer Optics. — 2024. — Vol. 48, no. 1. — P. 139–148. — DOI: 10.18287/2412-6179-CO-1367.</mixed-citation>
     <mixed-citation xml:lang="en">Mandrikova O. Intelligent methods for natural data analysis: application to space weather // Computer Optics. — 2024. — Vol. 48, no. 1. — P. 139–148. — DOI: 10.18287/2412-6179-CO-1367.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B18">
    <label>18.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Real-Time Database for high-resolution Neutron Monitor measurements / NMDB: the Neutron Monitor Database. — URL: https://www.nmdb.eu (visited on 11/11/2024).</mixed-citation>
     <mixed-citation xml:lang="en">Real-Time Database for high-resolution Neutron Monitor measurements / NMDB: the Neutron Monitor Database. — URL: https://www.nmdb.eu (visited on 11/11/2024).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B19">
    <label>19.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Rycroft M. J. J.Lilensten (ed.), Space weather: research towards applications in Europe, Astrophysics and space science library. Book Review // Surveys in Geophysics. — 2007. — Vol. 28, no. 1. — P. 115–116. — DOI: 10.1007/s10712-007-9015-x.</mixed-citation>
     <mixed-citation xml:lang="en">Rycroft M. J. J.Lilensten (ed.), Space weather: research towards applications in Europe, Astrophysics and space science library. Book Review // Surveys in Geophysics. — 2007. — Vol. 28, no. 1. — P. 115–116. — DOI: 10.1007/s10712-007-9015-x.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B20">
    <label>20.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Zhu X.-L., Xue B.-S., Cheng G.-S., et al. Application of wavelet analysis of cosmic ray in prediction of great geomagnetic storms // Chinese Journal of Geophysics (Acta Geophysica Sinica). — 2015. — Vol. 58. — P. 2242–2249. — DOI: 10.6038/cjg20150703.</mixed-citation>
     <mixed-citation xml:lang="en">Zhu X.-L., Xue B.-S., Cheng G.-S., et al. Application of wavelet analysis of cosmic ray in prediction of great geomagnetic storms // Chinese Journal of Geophysics (Acta Geophysica Sinica). — 2015. — Vol. 58. — P. 2242–2249. — DOI: 10.6038/cjg20150703.</mixed-citation>
    </citation-alternatives>
   </ref>
  </ref-list>
 </back>
</article>
