<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v2.3 20070202//EN" "journalpublishing.dtd">
<article article-type="research-article" dtd-version="2.3" xml:lang="EN" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Earth Sci.</journal-id>
<journal-title>Frontiers in Earth Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Earth Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-6463</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1660221</article-id>
<article-id pub-id-type="doi">10.3389/feart.2025.1660221</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Earth Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Characterizing the foreshock, main shock, and aftershock sequences of the recent major earthquakes in Southern Alaska, 2020&#x2013;2024</article-title>
<alt-title alt-title-type="left-running-head">Filippova et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/feart.2025.1660221">10.3389/feart.2025.1660221</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Filippova</surname>
<given-names>A.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Fomochkina</surname>
<given-names>A.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3178053/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/software/"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Kossobokov</surname>
<given-names>V.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<xref ref-type="author-notes" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1034279/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Nekrasova</surname>
<given-names>A.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/870954/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/software/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Institute of Earthquake Prediction Theory and Mathematical Geophysics, RAS</institution>, <addr-line>Moscow</addr-line>, <country>Russia</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation, RAS</institution>, <addr-line>Troitsk</addr-line>, <country>Russia</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Gubkin Russian State University of Oil and Gas</institution>, <addr-line>Moscow</addr-line>, <country>Russia</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Accademia Nazionale delle Scienze detta dei XL</institution>, <addr-line>Rome</addr-line>, <country>Italy</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/92148/overview">Giovanni Martinelli</ext-link>, National Institute of Geophysics and Volcanology, Italy</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1099729/overview">Boyko Ranguelov</ext-link>, University of Mining and Geology &#x201c;Saint Ivan Rilski&#x201d;, Bulgaria</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3150659/overview">Somak Hazra</ext-link>, University of Alberta, Alberta, Canada</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: V. Kossobokov, <email>volodya@mitp.ru</email>
</corresp>
<fn fn-type="other" id="fn1">
<label>
<sup>&#x2020;</sup>
</label>
<p>ORCID: V. Kossobokov, <ext-link ext-link-type="uri" xlink:href="http://orcid.org/0000-0002-3505-7803">orcid.org/0000-0002-3505-7803</ext-link>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>22</day>
<month>09</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1660221</elocation-id>
<history>
<date date-type="received">
<day>05</day>
<month>07</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>27</day>
<month>08</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Filippova, Fomochkina, Kossobokov and Nekrasova.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Filippova, Fomochkina, Kossobokov and Nekrasova</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>We continue analyzing earthquake sequences in terms of their variability and scaling properties, including the behavior of the control parameter &#x3b7; of the unified scaling law for earthquakes (USLE), along with a detailed analysis of the surface wave records for reconstruction of the source in approximation of the second moments of the stress glut tensor to obtain integral estimation of its length, orientation, and seismic process development over time. In particular, we present the analysis of the cases of the four recent earthquakes in Southern Alaska &#x2013; 22 July 2020, Mw 7.8 at 105 km SSE of Perryville, 19 October 2020, Mw7.6 at 97 km SSE of Sand Point, 29 July 2021, Mw 8.2 at 99 km SE of Perryville and 16 July 2023, Mw7.2 at 106 km S of Sand Point that have occurred right at the western edge of the rupture zone of the 1964 Great Alaska, M9.3 mega-earthquake and contribute to apparent activation of the region started with the three major earthquakes (24 January 2016, Mw7.1, 23January 2018, Mw7.9, and 30 November 2018, Mw7.1) at its north and southern borders.</p>
</abstract>
<kwd-group>
<kwd>earthquake sequences</kwd>
<kwd>earthquake source</kwd>
<kwd>Pacific and north America plate boundary</kwd>
<kwd>unified scaling law for earthquakes</kwd>
<kwd>USLE control parameter</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Solid Earth Geophysics</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>After 5 decades since the 1964 Great Alaska, Mw9.3 megathrust earthquake the seismicity of the Southern Alaska experiences disturbing rise of activity started with (1) the 24 January 2016, Mw7.1, 47 km ESE of Pedro Bay earthquake (Old Iliamna) and followed by (2) the 23 January 2018, Mw7.9, 261 km SE of Chiniak, (3) the 30 November 2018, Mw7.1, 1 km SE of Point MacKenzie, (4) the 22 July 2020, Mw7.8, 99 km SSE of Perryville, (5) the 19 October 2020, Mw7.6, 99 km SE of Sand Point, (6) the 29 July 2021, Mw8.2, Alaska Peninsula, and (7) the 16 July 2023, Mw7.2, 106 km S of Sand Point earthquakes. The largest of the first three&#x2013;the Mw7.9 earthquake on 23 January 2018 &#x2013; ruptured the Pacific plate in front of the continental crust of Alaska while the cluster of next four ruptured a 200-km segment of the Aleutian megathrust fault. All seven appear to rupture the subducting Pacific plate right at the border of or within the extended source region of the 27 March 1964 Great Alaska earthquake (<xref ref-type="bibr" rid="B52">Press and Jackson, 1965</xref>; <xref ref-type="bibr" rid="B60">Wyss and Brune, 1967</xref>; <xref ref-type="bibr" rid="B63">Kanamori, 1970</xref>; <xref ref-type="bibr" rid="B12">Christensen and Beck, 1994</xref>). The complexity of the megathrust is characterized with a multiple rupture of several segments of subducting Pacific plate, including the lateral transition faulting along the Yakutat block at the corner of the Pacific&#x2013;North America plate boundary. The apparent reactivation of this region at the level of significant major earthquakes deserves special attention. In the following sections, we provide integral characterization of the fore- and aftershock sequences for each of the recent major earthquakes in terms of their magnitude&#x2013;space&#x2013;time distributions and the control parameter of the Unified Scaling Law for Earthquakes (<xref ref-type="bibr" rid="B37">Kossobokov and Mazhkenov, 1994</xref>; <xref ref-type="bibr" rid="B6">Bak et al., 2002</xref>; <xref ref-type="bibr" rid="B39">Kossobokov and Nekrasova, 2019</xref>; <xref ref-type="bibr" rid="B36">Kossobokov, 2021</xref>), as well as the average estimates of the rupture extent, duration, and velocity, making use of the low-degree moments of the stress glut rate (<xref ref-type="bibr" rid="B4">Backus, 1977a</xref>; <xref ref-type="bibr" rid="B5">Backus, 1977b</xref>).</p>
<p>Note: After the submittal of the article on 5 July 2025, the seismic process at the northern boundary of the Pacific plate has further developed with the major M 7.3, 2025 Sand Point, Alaska Earthquake on July 16th and M 7.4, 2025 Eastern Kamchatka, Russia Earthquake on July 20 that appear to be a foreshock of the M 8.8, 2025 Kamchatka Peninsula Earthquake mega-thrust earthquake on July 29 (similar to the M 7.3 on March 9 in advance the 11 March 2011 M 9.1, Great Tohoku Earthquake in Japan). It is worth noting that the 2025 Kamchatka Peninsula earthquake has ruptured the same segment of the Kuril-Kamchatka subduction as the M 9.0, 89 km ESE of Petropavlovsk-Kamchatsky earthquake on 4 November 1952 &#x2013; the first of the four mega-thrusts of the 20th century, namely, &#x201c;Kamchatka, 1952/11/04, Mw 9.0; Andreanoff Islands, 1957/03/09, Mw 9.1; Chile, 1960/05/22, Mw 9.5; Alaska, 1964/03/28, Mw 9.2&#x201d; (<xref ref-type="bibr" rid="B35">Kossobokov, 2011</xref>).</p>
</sec>
<sec id="s2">
<title>2 Data and methods</title>
<p>The seismicity of the Southern Alaska from 1 January 2006, through 11 November 2024, is analyzed within the geographic bounds of 50&#xb0;&#x2013;65&#xb0;N and 140&#xb0;&#x2013;170&#xb0;W. An online search of the U.S. Geological Survey Advanced National Seismic System (ANSS) database provided 55,681 records of earthquake with magnitudes of 2.5 or greater in the study area (<xref ref-type="fig" rid="F1">Figure 1</xref>). A detailed analysis of the events from the ANSS catalogue (U.S. <xref ref-type="bibr" rid="B22">Geological Survey, 2017</xref>) within circles around the three major 2016&#x2013;2018 earthquakes (<xref ref-type="bibr" rid="B11">Bukchin et al., 2020</xref>) confirmed that the catalogue offers a complete record for the region. Specifically, &#x201c;graphs of the monthly number of M &#x2265; 2.5 earthquakes confirm the stability of hypocentre determinations in the ANSS catalogue prior to the major events.&#x201d; Moreover, &#x201c;the Gutenberg-Richter plot (<xref ref-type="bibr" rid="B25">Gutenberg and Richter, 1944</xref>) of the cumulative number of earthquakes with magnitudes ranging from 2.5 to 7.9 for the period 2006&#x2013;2018 follows an exponential best-fit trend line, with a <italic>b</italic>-value of 0.868 (<italic>R</italic>
<sup>2</sup> &#x3d; 0.993)&#x201d; (<xref ref-type="bibr" rid="B11">Bukchin et al., 2020</xref>), which has changed to 0.796 (<italic>R</italic>
<sup>2</sup> &#x3d; 0.989) in 2016&#x2013;2024.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Epicenters of the M &#x2265; 2.5 earthquakes (ANSS, 1 January 2006 to 11 November 2024; small blue circles) and the five major earthquakes (black stars) in Southern Alaska. Note: Red line marks the boundary of the North American and the Pacific Plates. The epicenters of the 1964 Great Alaska earthquake (big red star) and its first aftershocks (red circles) are given on top the subsurface rupture zone (shaded pink). The Mw 7.3, 2025 Sand Point, Alaska Earthquake (red star) occurred on July 16th after the manuscript submittal.</p>
</caption>
<graphic xlink:href="feart-13-1660221-g001.tif">
<alt-text content-type="machine-generated"> Map illustrating earthquake locations along tectonic boundaries in the North American and Pacific Plates. Significant events include the 1964, Mw 9.3 Great Alaska Earthquake and the 2025, Mw 7.3, Sand Point, Alaska earthquake occurred after the manuscript submittal.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F2">Figure 2</xref> presents a comprehensive five-dimensional visualization of seismic activity in southern Alaska from 2006 to 2024. The display combines magnitude, latitude, longitude, depth, and time to illustrate the spatial and temporal variability of earthquake occurrence in the region. Variability in earthquake occurrence frequency and energy distribution over time is visible, highlighting the dynamic and complex nature of seismic processes in southern Alaska during the occurrence of the four large earthquakes in the current analysis, as well as the three previously described in (<xref ref-type="bibr" rid="B11">Bukchin et al., 2020</xref>). One can see how seismicity varies in space and time, providing insight into the patterns of foreshock and aftershock activity of seven major earthquakes, as well as potential correlations between seismic events and their location, depth, and magnitude over nearly 2 decades.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Magnitude-Latitude-Longitude-Depth versus Time distribution of earthquakes in Southern Alaska, 2006-2024. The 5-D display of seismic activity shows the variable space-time intensity of earthquake energy release in the region; in particular, the irregular shapes of aftershock clusters including those of the seven major earthquakes (red triangles).</p>
</caption>
<graphic xlink:href="feart-13-1660221-g002.tif">
<alt-text content-type="machine-generated">Four scatter plots depict earthquake data from 2006 to 2025. From top to bottom, the plots show magnitude, latitude, longitude, and depth, marked with blue dots and red triangles for significant events. The magnitude plot shows earthquakes mostly between magnitudes 2 and 6, with peaks around 2021. The latitude plot ranges from 50&#xB0;N to 65&#xB0;N, the longitude plot from 140&#xB0;W to 170&#xB0;, and the depth plot from 0 km to 300 km, with most events near the surface.</alt-text>
</graphic>
</fig>
<p>We applied uniformly the same methodological approach described in (<xref ref-type="bibr" rid="B11">Bukchin et al., 2020</xref>) and earlier in (<xref ref-type="bibr" rid="B39">Kossobokov and Nekrasova, 2019</xref>; <xref ref-type="bibr" rid="B38">Kossobokov and Nekrasova, 2017</xref>). Specifically, for each of the four major M &#x2265; 7.0 earthquakes that occurred in Southern Alaska during 2020&#x2013;2024 (i.e., 22 July 2020, Mw 7.8, 105 km SSE of Perryville; 19 October 2020, Mw 7.6, 97 km SSE of Sand Point; 29 July 2021, Mw 8.2, 99 km SE of Perryville; and 16 July 2023, Mw 7.2, 106 km S of Sand Point) we analyzed the foreshock and aftershock sequences. These were characterized in terms of their variations and scaling properties, including the behaviour of the control parameter <italic>&#x3b7;</italic> &#x3d; <italic>&#x3c4;</italic> &#xd7; 10<sup>
<italic>B</italic>&#xd7;(5&#x2212;<italic>M</italic>)</sup> &#xd7; <italic>L</italic>
<sup>
<italic>C</italic>
</sup> (where <italic>&#x3c4;</italic> is the time between the two successive earthquakes, <italic>M</italic> is the magnitude of the second one, and <italic>L</italic> is the distance between the two) of the Unified Scaling Law for Earthquakes (USLE) that generalizes the Gutenberg-Richter relationship as follows (<xref ref-type="bibr" rid="B36">Kossobokov, 2021</xref>):<disp-formula id="equ1">
<mml:math id="m1">
<mml:mrow>
<mml:msub>
<mml:mi>log</mml:mi>
<mml:mn>10</mml:mn>
</mml:msub>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>A</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>B</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>5</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>&#x2013;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>M</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>C</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>log</mml:mi>
<mml:mn>10</mml:mn>
</mml:msub>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>where <italic>N</italic>(<italic>M, L</italic>) is the number of earthquakes of a certain magnitude <italic>M</italic> expected in a year within an earthquake-prone area of diameter <italic>L</italic>; <italic>A</italic> and <italic>B</italic> are constants characterizing the annual rate of magnitude 5 events and the magnitude exponents analogous to <italic>a</italic>- and <italic>b</italic>-values of the Gutenberg-Richter relationship, and <italic>C</italic> estimates the fractal dimension of the epicenter loci at a given site.</p>
<p>Additionally, we conducted a detailed analysis of surface wave records to reconstruct the earthquake source, approximating the second moments of the stress glut tensor to derive integral estimates of source length, orientation, and temporal development. Same as in our previous study (<xref ref-type="bibr" rid="B11">Bukchin et al., 2020</xref>), we estimated source parameters of the four recent major seismic events from surface wave data. Records at broadband seismic stations of the IRIS, GEOFON, and GEOSCOPE networks (<xref ref-type="bibr" rid="B13">Danish Seismological Network, 2023</xref>; <xref ref-type="bibr" rid="B21">GEOFON seismic network, 1993</xref>; <xref ref-type="bibr" rid="B23">Geoscope, 1982</xref>; <xref ref-type="bibr" rid="B53">Scripps Institution of Oceanography, 1986</xref>; <xref ref-type="bibr" rid="B1">Albuquerque Seismological Laboratory /USGS, 1992</xref>; <xref ref-type="bibr" rid="B2">Albuquerque Seismological Laboratory/USGS. Global SeismographNetwork, 2014</xref>) were analyzed using a frequency-time analysis (FTAN) procedure (<xref ref-type="bibr" rid="B44">Levshin et al., 1989</xref>) to isolate fundamental modes of Rayleigh and Love waves and to estimate their spectra. Waveforms with a low signal-to-noise ratio (&#x3c;3) were rejected from further calculations. The data on a number of the selected seismic stations, their minimum and maximum epicenter distances, and periods, in which surface waves were filtered, are presented in <xref ref-type="table" rid="T1">Table 1</xref>. It is worth noting that for each study earthquake an azimuthal distribution of the analyzed stations is uniform (<xref ref-type="fig" rid="F3">Figure 3</xref>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Initial data for calculations of source parameters for the four major earthquakes in Southern Alaska in 2020&#x2013;2023. Notes: T is a period range in which surface waves were filtered. T<sub>1</sub> and T<sub>2</sub> are period ranges used for calculations of source parameters in an instant point source and finite source approximations, respectively.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Earthquake</th>
<th rowspan="2" align="center">Number of stations</th>
<th colspan="2" align="center">Epicentral distance &#x394;, &#xb0;</th>
<th colspan="3" align="center">Period range T, s</th>
</tr>
<tr>
<th align="center">&#x394;<sub>min</sub>
</th>
<th align="center">&#x394;<sub>max</sub>
</th>
<th align="center">T</th>
<th align="center">T<sub>1</sub>
</th>
<th align="center">T<sub>2</sub>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">22 July 2020, Mw7.8</td>
<td align="center">20</td>
<td align="center">36.18</td>
<td align="center">88.31</td>
<td align="center">90&#x2013;340</td>
<td align="center">100&#x2013;340</td>
<td align="center">90&#x2013;150</td>
</tr>
<tr>
<td align="center">19 October 2020, Mw7.6</td>
<td align="center">20</td>
<td align="center">36.66</td>
<td align="center">93.04</td>
<td align="center">70&#x2013;300</td>
<td align="center">110&#x2013;300</td>
<td align="center">70&#x2013;120</td>
</tr>
<tr>
<td align="center">19 October 2020, Mw7.6</td>
<td align="center">22</td>
<td align="center">40.49</td>
<td align="center">94.41</td>
<td align="center">120&#x2013;350</td>
<td align="center">150&#x2013;350</td>
<td align="center">120&#x2013;200</td>
</tr>
<tr>
<td align="center">16 July 2023, Mw7.2</td>
<td align="center">15</td>
<td align="center">28.83</td>
<td align="center">69.93</td>
<td align="center">50&#x2013;300</td>
<td align="center">100&#x2013;300</td>
<td align="center">50&#x2013;150</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Epicenters of the studied earthquakes and seismic stations, which records are used in the inversion of source parameters. LHZ is a vertical component of the record, LHT is a transversal component obtained from the rotation of the LHN (northern) and LHE (eastern) components.</p>
</caption>
<graphic xlink:href="feart-13-1660221-g003.tif">
<alt-text content-type="machine-generated">Four maps display selected seismic stations and earthquake epicenters for July 22, 2020; October 19, 2020; July 29, 2021; and July 16, 2023. Epicenters are marked with yellow stars. Seismic stations are indicated by triangles with different colors representing selected components: green for LHZ &#x26; LHT, blue for LHZ, and red for LHT. The maps illustrate variations in seismic station azimuthal distributions around each epicenter.</alt-text>
</graphic>
</fig>
<p>Earthquake source parameters were calculated in two stages:</p>
<p>First, we modelled each seismic event in an instant point source approximation assuming a source to be a pure double-couple (<xref ref-type="bibr" rid="B8">Bukchin, 1990</xref>). In this case, a source can be determined by its depth, scalar seismic moment, and focal mechanism, which can be presented in terms of two equivalent nodal planes (their strike, dip and slip angles) or principal stress axis (compression (P), tension (T) and null (B) axis characterized by their azimuths and plunge angles). We estimated the source parameters by systematic exploration of 5D parametric space minimizing residuals between synthetic and determined using the FTAN procedure amplitude surface wave spectra. A moment magnitude was calculated from a relation by <xref ref-type="bibr" rid="B26">Hanks and Kanamori (1979)</xref>. It is well-known that a unique focal mechanism solution cannot be obtained from surface wave amplitude spectra only &#x2013; there are four equivalent solutions which differ in the directions of slip and vertical axes (<xref ref-type="bibr" rid="B47">Mendiguren, 1977</xref>). To constrain a unique focal mechanism, P-wave first-motion polarities are used (<xref ref-type="bibr" rid="B42">Lasserre et al., 2001</xref>; <xref ref-type="bibr" rid="B11">Bukchin et al., 2020</xref>). Nevertheless, P-wave polarities, published in bulletins, are controversial in many cases and surface wave phase spectra can be applied to choose one of four equivalent solutions (<xref ref-type="bibr" rid="B17">Filippova and Fomochkina, 2023</xref>; <xref ref-type="bibr" rid="B18">2024</xref>). The latter approach was preferred in this study. The period range, used for each of the considered earthquakes for modeling in an instant point source approximation, is presented in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<p>Second, an earthquake source was assumed to be an elliptical dislocation with a finite duration of faulting and we estimated its six integral characteristics: lengths of a source ellipse major and minor axis (l<sub>max</sub> and l<sub>min</sub>), duration (&#x394;t), modulus of an average value of an instant centroid velocity (&#x7c;v&#x7c;), an angle between the fault strike axis and major axis of source ellipse (&#x3c6;<sub>l</sub>), and an angle between the fault strike axis and instant centroid velocity axis (&#x3c6;<sub>v</sub>) (<xref ref-type="bibr" rid="B4">Backus, 1977a</xref>; <xref ref-type="bibr" rid="B5">Backus, 1977b</xref>; <xref ref-type="bibr" rid="B9">Bukchin, 1995</xref>). The residual function, defined at the same manner as at the first stage of the inversion, was minimized by systematic exploration of a 6D parametric space. Both the nodal planes, obtained previously, were tried for probable identification of the fault plane (<xref ref-type="bibr" rid="B10">Bukchin, 2017</xref>). Naturally, shorter periods were used for calculations (<xref ref-type="table" rid="T1">Table 1</xref>). To determine real source dimensions and duration, the integral characteristics &#x2013; lengths of a source ellipse major and minor axis and duration &#x2013; should be multiplied by 2.5 and 3, respectively (<xref ref-type="bibr" rid="B11">Bukchin et al., 2020</xref>).</p>
<p>We calculated synthetic surface wave spectra using a model of weak lateral inhomogeneity of the Earth&#x2019;s structure (<xref ref-type="bibr" rid="B3">Babich et al., 1976</xref>; <xref ref-type="bibr" rid="B59">Woodhouse, 1974</xref>). Therefore, the Green&#x2019;s function of surface waves depends only on the medium structure in the vicinity of an earthquake source and under a seismic station (<xref ref-type="bibr" rid="B8">Bukchin, 1990</xref>; <xref ref-type="bibr" rid="B9">1995</xref>). We modeled the crustal structure using the 3SMAC 3D global crustal model (<xref ref-type="bibr" rid="B49">Nataf and Ricard, 1996</xref>). It is worth noting, that the inversion results are robust relative to a choice of the crustal model (<xref ref-type="bibr" rid="B54">Seredkina and Kozmin, 2017</xref>; <xref ref-type="bibr" rid="B55">Seredkina et al., 2020</xref>). The PREM model was applied to describe the mantle structure and to calculate surface wave attenuation (<xref ref-type="bibr" rid="B15">Dziewonski and Anderson, 1981</xref>) with different methods (<xref ref-type="bibr" rid="B56">Sipkin, 1982</xref>; <xref ref-type="bibr" rid="B16">Dziewonski and Anderson, 1983</xref>; <xref ref-type="bibr" rid="B34">Kanamori and Rivera, 2008</xref>; <xref ref-type="bibr" rid="B27">Hayes et al., 2009</xref>).</p>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 C<italic>haracterizing earthquake sequences</italic>
</title>
<p>
<xref ref-type="fig" rid="F4">Figure 4</xref> shows the spatial distribution and temporal clustering of seismicity around the epicenters of the four analyzed major earthquakes. The epicenters of M &#x2265; 2.5 earthquakes from the ANSS catalogue, located within angular distances of 2.5&#xb0; for the 22 July 2020; 19 October 2020; and 29 July 2021, main events, and within 1&#xb0; for the 16 July 2023, main event, are displayed as small blue crosses. These represent the background seismicity within the 10 years preceding each major earthquake. Yellow circles highlight the foreshock activity, showing earthquakes that occurred within 128 days before the origin time of each major event, which time interval allows for a sevenfold doubling of the 1-day period appropriate in analyzing either acceleration or deceleration of a daily time series.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Epicenters of the M &#x2265; 2.5 earthquakes at angular distance of 2.5&#xb0; and 1&#xb0; from the epicenter (black square) of each of the four major earthquakes (black crosses) in Southern Alaska. Notes: Small blue crosses are epicenters of earthquakes 10 years in advance each of the four major shocks. Yellow circles and small red crosses are those events occurring within 128 days before and 128 days after the origin time of a major event, respectively; small dark yellow crosses on the 22 July 2020, Mw7.8 plate are aftershocks of the 19 October 2020, Mw7.6 earthquake as well, for which the Mw7.8 event appears as a major foreshock some 39 days in advance its origin time. Two out of the four epicenters of the major earthquakes fall out of the smaller circle associated with the Mw7.2 earthquake on 16 July 2023. Latitude 55&#xb0;N and longitude 160&#xb0;N are marked grey.</p>
</caption>
<graphic xlink:href="feart-13-1660221-g004.tif">
<alt-text content-type="machine-generated">Four circular charts illustrate seismic activity on specific dates: 22 July 2020, 19 October 2020, 29 July 2021, and 16 July 2023. Each chart shows clusters of data points before, after, and of the past in yellow, red, and blue, with black crosses indicating significant events. The magnitudes (Mw) vary: 7.8, 7.6, 8.2, and 7.2, respectively.</alt-text>
</graphic>
</fig>
<p>We analyzed the distribution of inter-event times between earthquakes in foreshock and aftershock series in terms of the USLE control parameter <italic>&#x3b7;</italic>, which according to <xref ref-type="bibr" rid="B6">Bak et al. (2002)</xref> is in charge of inter-event times between earthquakes.</p>
<p>The characteristics of the seven major earthquakes including those in 2016&#x2013;2018 (<xref ref-type="bibr" rid="B11">Bukchin et al., 2020</xref>) are given in <xref ref-type="table" rid="T2">Table 2</xref>.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Characteristics of the seven major earthquake series in Southern Alaska, 2016&#x2013;2023. Notes: Shaded grey the results from (<xref ref-type="bibr" rid="B11">Bukchin et al., 2020</xref>). Coefficients of the Unified Scaling Law for Earthquakes (USLE) are from the global map determinations available from the ISC Dataset Repository (<xref ref-type="bibr" rid="B50">Nekrasova and Kossobokov, 2019</xref>).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Major shock origin time (UTC)</th>
<th align="center">2016/01/24</th>
<th align="center">2018/01/23</th>
<th align="center">2018/11/30</th>
<th align="center">2020/07/22</th>
<th align="center">2020/10/19</th>
<th align="center">2021/07/29</th>
<th align="center">2023/07/16</th>
</tr>
<tr>
<th align="center">10:30:30</th>
<th align="center">09:31:41</th>
<th align="center">17:29:29</th>
<th align="center">06:12:45</th>
<th align="center">20:54:39</th>
<th align="center">06:15:49</th>
<th align="center">06:48:21</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Main Shock Latitude, &#xb0;N</td>
<td align="center">59.636</td>
<td align="center">56.004</td>
<td align="center">61.346</td>
<td align="center">55.072</td>
<td align="center">54.602</td>
<td align="center">55.364</td>
<td align="center">54.393</td>
</tr>
<tr>
<td align="left">Main Shock Longitude, &#xb0;W</td>
<td align="center">153.405</td>
<td align="center">149.166</td>
<td align="center">149.955</td>
<td align="center">158.596</td>
<td align="center">159.626</td>
<td align="center">157.888</td>
<td align="center">160.762</td>
</tr>
<tr>
<td align="left">Main Shock Depth, km</td>
<td align="center">129</td>
<td align="center">14</td>
<td align="center">47</td>
<td align="center">28</td>
<td align="center">28.37</td>
<td align="center">35</td>
<td align="center">25</td>
</tr>
<tr>
<td align="left">Main Shock Magnitude M<sub>ANSS</sub>
</td>
<td align="center">7.1</td>
<td align="center">7.9</td>
<td align="center">7.1</td>
<td align="center">7.8</td>
<td align="center">7.6</td>
<td align="center">8.2</td>
<td align="center">7.2</td>
</tr>
<tr>
<td align="left">The USLE coefficient A at Epicenter</td>
<td align="center">&#x2212;0.34</td>
<td align="center">&#x2212;0.19</td>
<td align="center">&#x2212;0.52</td>
<td align="center">&#x2212;0.462</td>
<td align="center">&#x2212;0.396</td>
<td align="center">&#x2212;0.453</td>
<td align="center">&#x2212;0.28</td>
</tr>
<tr>
<td align="left">The USLE coefficient B at Epicenter</td>
<td align="center">0.89</td>
<td align="center">0.9</td>
<td align="center">0.87</td>
<td align="center">0.764</td>
<td align="center">0.837</td>
<td align="center">0.773</td>
<td align="center">0.906</td>
</tr>
<tr>
<td align="left">The USLE coefficient C at Epicenter</td>
<td align="center">1.33</td>
<td align="center">1.29</td>
<td align="center">1.42</td>
<td align="center">1.161</td>
<td align="center">1.163</td>
<td align="center">1.183</td>
<td align="center">1.172</td>
</tr>
<tr>
<td align="left">Number of M &#x2265; 2.5 (M &#x2265; 4) foreshocks</td>
<td align="center">101 (2)</td>
<td align="center">21 (1)</td>
<td align="center">60 (2)</td>
<td align="center">131 (9)</td>
<td align="center">690 (86)</td>
<td align="center">213 (14)</td>
<td align="center">128 (1)</td>
</tr>
<tr>
<td align="left">Number of M &#x2265; 2.5 (M &#x2265; 4) aftershocks</td>
<td align="center">281 (16)</td>
<td align="center">3,489 (262)</td>
<td align="center">998 (42)</td>
<td align="center">2000 (221)</td>
<td align="center">2080 (165)</td>
<td align="center">1,020 (88)</td>
<td align="center">249 (25)</td>
</tr>
<tr>
<td align="left">Magnitude of the last M &#x2265; 2.5 (M &#x2265; 4) foreshock</td>
<td align="center">2.6 (4.0)</td>
<td align="center">3.4 (4.1)</td>
<td align="center">3.1 (4.5)</td>
<td align="center">2.5 (4.1)</td>
<td align="center">2.6 (5.9)</td>
<td align="center">2.8 (4.0)</td>
<td align="center">2.8 (4.0)</td>
</tr>
<tr>
<td align="left">Time since the last M &#x2265; 2.5 (M &#x2265; 4) foreshock, days</td>
<td align="center">2.5 (61.3)</td>
<td align="center">4.98 (85.3)</td>
<td align="center">0.28 (46.5)</td>
<td align="center">0.14 (15.6)</td>
<td align="center">0.08 (13.6)</td>
<td align="center">1.75 (22.4)</td>
<td align="center">0.30 (11.9)</td>
</tr>
<tr>
<td align="left">Distance to the last M &#x2265; 2.5 (M &#x2265; 4) foreshock, km</td>
<td align="center">19.3 (23)</td>
<td align="center">181 (7)</td>
<td align="center">73 (31)</td>
<td align="center">192 (219)</td>
<td align="center">239 (31)</td>
<td align="center">230 (150)</td>
<td align="center">50 (78)</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>
<xref ref-type="fig" rid="F5">Figure 5</xref> illustrates the evolution of the USLE control parameter <italic>&#x3b7;</italic> in the vicinity of four major earthquakes in Southern Alaska during 2013&#x2013;2024. The values of parameter <italic>&#x3b7;</italic> are shown as small crosses plotted against the origin time of earthquakes within angular distances of 2.5&#xb0; for the Mw7.8 (22 July 2020), Mw7.6 (19 October 2020), and Mw 8.2 (29 July 2021) main shocks, and within 1&#xb0; for the Mw7.2 (16 July 2023) event. The average &#x3c;<italic>&#x3b7;</italic>&#x3e; values per 50 events are depicted as lines in each panel, providing a smoothed presentation of the USLE control parameter variation over time.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>The values of the USLE control parameter &#x3b7; (little crosses) versus earthquake origin time within angular distance of 2.5&#xb0; from the epicenters of the M<sub>W</sub>7.8 2020/07/22 (top panel), M<sub>W</sub>7.6 2020/10/19 (second panel), and M<sub>W</sub>8.2 2021/07/29 (third panel) and within 1&#xb0; from the epicenter of the M<sub>W</sub>7.2 2023/07/16 (bottom panel) main shocks. Black lines display the 50 per moving averages &#x3c;<italic>&#x3b7;</italic>&#x3e; of the control parameter.</p>
</caption>
<graphic xlink:href="feart-13-1660221-g005.tif">
<alt-text content-type="machine-generated">Four line graphs show data from 2013 to 2023, labeled &#x22;log&#x2081;&#x2080; &#x3B7;&#x22; on the y-axis. Each graph contains numerous blue data points and significant dips highlighted with red triangles. The graphs appear similar, suggesting analysis of trends or anomalies over time.</alt-text>
</graphic>
</fig>
<p>The top panel in <xref ref-type="fig" rid="F5">Figure 5</xref> shows the &#x3c;<italic>&#x3b7;</italic>&#x3e; trends in advance and after the 22 July 2020 main shock. One can see that shortly after a spike associated to the 2 April 2016, Mw6.2 earthquake 98 km NNE of Chignik Lake the &#x3c;<italic>&#x3b7;</italic>&#x3e; curve remains relatively stable in the years leading up to the main shock, showing minor fluctuations around a baseline level except for a notable increase-then-decrease in 2020 shortly before July 22, 2020, Mw7.8 shock, indicating a detectable drop in seismic activity in the region, which could be regarded as precursory quiescence observable in the overlap of the three 2.5&#xb0; circles in <xref ref-type="fig" rid="F4">Figure 4</xref>. Following the Mw7.8 earthquake, &#x3c;<italic>&#x3b7;</italic>&#x3e; experiences a sharp drop, reflecting a significant release of accumulated stress. In spite of a sharp rise due to the aftershocks of July 22 main shock, the level of &#x3c;<italic>&#x3b7;</italic>&#x3e; was still 5 times lower in the first days of October in advance the Mw7.6 earthquake on 19 October 2020 (<xref ref-type="fig" rid="F5">Figure 5</xref>, second panel). Similarly, the rise of the &#x3c;<italic>&#x3b7;</italic>&#x3e; level after a sharp drop on October 19 did not reach the baseline level in the vicinity of the M<sub>W</sub>8.2 earthquake before its occurrence on 29 July 2021; the sharp drop and rise of &#x3c;<italic>&#x3b7;</italic>&#x3e; resumed at rather stable level about 10<sup>4</sup> to be compared to 7 &#xd7; 10<sup>4</sup> in May 2020 (<xref ref-type="fig" rid="F5">Figure 5</xref>, third panel). In a smaller 1&#xb0; vicinity of the Mw7.2 earthquake on 16 July 2023 (<xref ref-type="fig" rid="F5">Figure 5</xref>, bottom panel) the evolution of &#x3c;<italic>&#x3b7;</italic>&#x3e; is in common to its behaviour in larger 2.5&#xb0; vicinities of the other three major earthquakes except for missing a spike associated with the Mw8.2 earthquake, which epicenter and most of its aftershocks fall outside the small 1&#xb0; circle in <xref ref-type="fig" rid="F4">Figure 4</xref>.</p>
<p>For each of the four major earthquakes <xref ref-type="fig" rid="F6">Figure 6</xref> provides in detail analysis of the 50 per moving averages &#x3c;<italic>&#x3b7;</italic>&#x3e; given in logarithmic scale of days before (t&#x2a; &#x2d7; t) and after (t &#x2d7; t&#x2a;) the main shock origin time, t&#x2a;. Specifically, 128 days before (left of the four panels) and 128 days after the main shocks origin time (right of the four panels) are presented. That choice of time interval allows for a sevenfold doubling of the 1-day period which is appropriate in analyzing either acceleration or deceleration of a daily time series. The decay of the aftershock series appear following the power law trends in all the four cases in <xref ref-type="fig" rid="F6">Figure 6</xref>. Moreover, although the best fit of individual <italic>&#x3b7;</italic> values show up not so high goodness of fit (<italic>R</italic>
<sup>2</sup> in range from &#xbc; to &#x2154;), its 50-points moving average &#x3c;<italic>&#x3b7;</italic>&#x3e; fits quite well the Omori law (<italic>R</italic>
<sup>2</sup> &#x3e; 0.9) for all the seven aftershock series of the major earthquakes in 2016&#x2013;2023 (<xref ref-type="bibr" rid="B11">Bukchin et al., 2020</xref>; <xref ref-type="fig" rid="F6">Figure 6</xref>). The evident flattering of &#x3c;<italic>&#x3b7;</italic>&#x3e;(t &#x2d7; t&#x2a;) observed for the 2016, 2021, and 2023 series after 80, 30, and 35 days after the major shock, respectively, suggests an early termination of direct impact on local seismic activity in these three out of seven cases. <xref ref-type="table" rid="T3">Table 3</xref> lists the best fit power laws for the USLE control parameter individual <italic>&#x3b7;</italic>(t &#x2d7; t&#x2a;) values and its moving average &#x3c;<italic>&#x3b7;</italic>&#x3e;(t &#x2d7; t&#x2a;) in the first 128 days after the major shocks of Southern Alaska.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>The best fit power law for USLE control parameter <italic>&#x3b7;</italic>(t &#x2d7; t&#x2a;) and its moving average &#x3c;<italic>&#x3b7;</italic>&#x3e;(t &#x2d7; t&#x2a;) in the first 128 days after the origin time of the major shock t&#x2a;.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Earthquake</th>
<th colspan="3" align="center">
<italic>&#x3b7;</italic>(t &#x2d7; t&#x2a;) &#x3d; a &#xd7;10<sup>b&#xd7;(t &#x2d7;t&#x2a;)</sup>
</th>
<th colspan="3" align="center">&#x3c;<italic>&#x3b7;</italic>&#x3e;(t &#x2d7; t&#x2a;) &#x3d; a &#xd7;10<sup>b&#xd7;(t &#x2d7;t&#x2a;)</sup>
</th>
</tr>
<tr>
<th align="center">a</th>
<th align="center">b</th>
<th align="center">
<italic>R</italic>
<sup>2</sup>
</th>
<th align="center">a</th>
<th align="center">b</th>
<th align="center">
<italic>R</italic>
<sup>2</sup>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">24 January 2016, Mw7.1</td>
<td align="center">48.181</td>
<td align="center">1.006</td>
<td align="center">0.602</td>
<td align="center">79.794</td>
<td align="center">1.183</td>
<td align="center">0.988</td>
</tr>
<tr>
<td align="center">23 January 2018, Mw7.9</td>
<td align="center">8.466</td>
<td align="center">0.661</td>
<td align="center">0.250</td>
<td align="center">22.611</td>
<td align="center">1.181</td>
<td align="center">0.949</td>
</tr>
<tr>
<td align="center">30 November 2018, Mw7.1</td>
<td align="center">5.760</td>
<td align="center">1.066</td>
<td align="center">0.529</td>
<td align="center">19.853</td>
<td align="center">0.883</td>
<td align="center">0.932</td>
</tr>
<tr>
<td align="center">22 July 2020, Mw7.8</td>
<td align="center">21.978</td>
<td align="center">0.817</td>
<td align="center">0.321</td>
<td align="center">75.391</td>
<td align="center">0.957</td>
<td align="center">0.979</td>
</tr>
<tr>
<td align="center">19 October 2020, Mw7.6</td>
<td align="center">4.028</td>
<td align="center">1.009</td>
<td align="center">0.508</td>
<td align="center">9.934</td>
<td align="center">1.197</td>
<td align="center">0.961</td>
</tr>
<tr>
<td align="center">29 July 2021, Mw8.2</td>
<td align="center">24.847</td>
<td align="center">0.806</td>
<td align="center">0.384</td>
<td align="center">74.776</td>
<td align="center">1.000</td>
<td align="center">0.952</td>
</tr>
<tr>
<td align="center">16 July 2023, Mw7.2</td>
<td align="center">71.086</td>
<td align="center">0.822</td>
<td align="center">0.452</td>
<td align="center">165.645</td>
<td align="center">0.884</td>
<td align="center">0.904</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>The USLE control parameter <italic>&#x3b7;</italic> in advance (yellow circles) and after (red points) each of the four major shocks. Time is given in days before (t&#x2a; &#x2d7; t) and after (t &#x2d7; t&#x2a;) each major earthquake origin time, t&#x2a;. The black line marks the 50 per moving average. Note the span of 89 days between the two major earthquakes of July 22nd and 19 October 2020.</p>
</caption>
<graphic xlink:href="feart-13-1660221-g006.tif">
<alt-text content-type="machine-generated">Four pairs of scatter plots show data from earthquakes before and after major shocks on specific dates: 22 July 2020 (Mw 7.8), 29 July 2021 (Mw 8.2), 19 October 2020 (Mw 7.6), and 16 July 2023 (Mw 7.2). The left plots display log scales with orange circles, while the right plots use red crosses, showing different data distributions. Each pair includes a black line indicating a trend.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 Characterizing an earthquake source</title>
<p>The parameters of the study earthquakes, calculated in an instant point source approximation, are shown in <xref ref-type="fig" rid="F7">Figures 7</xref>, <xref ref-type="fig" rid="F8">8</xref>. In all the cases, they are characterized by low residuals (&#x25b; &#x3c; 0.4) evidencing for good data fitting. Moreover, the resolution of the obtained parameters is rather high that is illustrated for the depth values (<xref ref-type="fig" rid="F7">Figure 7</xref>) which are distributed in the range of 22&#x2013;38 km. In contrast to strong seismic events in 2016&#x2013;2018 demonstrating diverse focal mechanisms (<xref ref-type="bibr" rid="B11">Bukchin et al., 2020</xref>), thrust fault movements were realized in the sources of the 22 July 2020, 29 July 2021, and 16 July 2023 earthquakes, i.e., they were formed under the influence of the dominating SE-NW compression (<xref ref-type="fig" rid="F8">Figure 8</xref>). This is in accordance with a lithospheric stress-strain pattern reported in the latest release of the World Stress Map (WSM) &#x2013; WSM 2016 (<xref ref-type="bibr" rid="B29">Heidbach et al., 2016</xref>) &#x2013; and is controlled by the NW subduction of the Pacific plate which rate is about 6.5 cm/yr in the considered region (<xref ref-type="bibr" rid="B14">DeMets et al., 2010</xref>). The focal mechanism of the 19 October 2020 earthquake is quite different as it demonstrates strike-slip motions along the nearly NS-oriented nodal plane (<xref ref-type="fig" rid="F8">Figure 8</xref>). The occurrence of this event is connected, on the one hand, with the 22 July 2020 mainshock and subsequent afterslip (<xref ref-type="bibr" rid="B30">Herman and Furlong, 2021</xref>) and, on the other hand, it can be facilitated by structural heterogeneity of the Pacific slab, namely, by changes in the plate hydration (<xref ref-type="bibr" rid="B24">Gou et al., 2022</xref>).</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Source depth residual functions, scalar seismic moments, moment magnitudes and residuals determined in this study for the four major earthquakes in Southern Alaska, 2020&#x2013;2023.</p>
</caption>
<graphic xlink:href="feart-13-1660221-g007.tif">
<alt-text content-type="machine-generated">Four graphs display residual versus depth data for the study earthquakes on different dates. Each graph shows a curve with varying slopes and minimum points indicating the residual values at depths ranging from zero to fifty kilometers. The graphs are titled with their respective date and include values for seismic moment, magnitude, and minimum residual epsilon. The first graph is for the July 22, 2020 earthquake, the second one is for the October 19, 2020 earthquake, the third one is for the July 29, 2021 earthquake, and the fourth graph is for the July 16, 2023 earthquake.</alt-text>
</graphic>
</fig>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Focal mechanisms of seven major earthquakes in Southern Alaska, 2016&#x2013;2023 determined in this study and in (<xref ref-type="bibr" rid="B11">Bukchin et al., 2020</xref>). Notes: The plate boundary according to (<xref ref-type="bibr" rid="B7">Bird, 2003</xref>) is plotted by the thick magenta line. The ETOPO 2022 elevation model (<xref ref-type="bibr" rid="B51">NOAA National Centers for Environmental Information, 2024</xref>) is used to image the topography and bathymetry.</p>
</caption>
<graphic xlink:href="feart-13-1660221-g008.tif">
<alt-text content-type="machine-generated">Map showing earthquake locations in Alaska with magnitudes ranging from 7.0 to 8.4 (2016-2023). Dates of major quakes include January 24, 2016; November 30, 2018; January 23, 2018; October 19, 2020; July 22, 2020; July 29, 2021; and July 16, 2023. Symbols indicate different magnitude: small, medium, and large circles correspond to earthquakes with Mw 7.0-7.4, 7.5-7.9, and 8.0-8.4, respectively. A pink plate boundary line is shown.</alt-text>
</graphic>
</fig>
<p>The integral source characteristics with their residuals, determined for the both calculated nodal planes, are presented in <xref ref-type="table" rid="T3">Table 3</xref> and include earlier determinations (<xref ref-type="bibr" rid="B11">Bukchin et al., 2020</xref>). We find resolution of characteristics in this study being unequal: it is good for the length of a source ellipse major axes and duration, as their uncertainties do not exceed 5 km and 3 s, respectively. It is also acceptable for both the estimated angles but it is poor for the other two parameters &#x2013; the length of a source ellipse minor axes <italic>l</italic>
<sub>min</sub> and modulus of an average centroid velocity &#x7c;v&#x7c;. For <italic>l</italic>
<sub>min</sub> the range of values with very close residuals can be as wide as 20 km. For &#x7c;v&#x7c; the uncertainty is about 0.7 km/s. Therefore, in our further analysis we focus on the well-resolved integral parameters <italic>l</italic>
<sub>max</sub> and &#x394;<italic>t</italic> and related real rupture lengths and durations.</p>
<p>According to surface wave theory (<xref ref-type="bibr" rid="B10">Bukchin, 2017</xref>), a fault plane can be distinguished from calculations of the integral source characteristics as they are characterized by lower residuals than values determined for the second auxiliary nodal plane. It is applicable for pure strike-slip earthquakes while the selection of the fault plane is difficult for pure thrust and normal faults. From the study seismic events, only the 19 October 2020 earthquake has a significant strike-slip component in its focal mechanism solution (<xref ref-type="fig" rid="F8">Figure 8</xref>). Naturally, the residual values related to different nodal planes vary significantly in this case evidencing for the near-longitudinal (strike &#x3d; 355&#xb0;) inclined (dip &#x3d; 45&#xb0;) nodal plane to be a fault plane (<xref ref-type="table" rid="T4">Table 4</xref>). It is confirmed by the orientation of the aftershock epicenter field (<xref ref-type="bibr" rid="B30">Herman and Furlong, 2021</xref>). For the other considered seismic events, in which sources thrust-fault movements dominate, residual values are almost identical for both the nodal planes and selection of the fault plane requires additional data. As all of them are likely to be connected with the subduction of the Pacific plate under the North American plate, we suggest that nodal planes with dip angles close to the slab dip to be fault planes. As an average dip of the Alaska-Aleutian slab is 11&#x2013;14 according to the Slab 2.0 model (<xref ref-type="bibr" rid="B28">Hayes et al., 2018</xref>), gently-dipping nodal planes (dip angle values are in the range of 11&#xb0;&#x2013;25&#xb0;) are preferred as fault planes, and steep nodal planes are, consequently, the auxiliary ones. For the 22 July 2020 and 16 July 2023 earthquakes, these nodal planes are formally characterized by lower residuals confirming that even a small difference in the residuals can provide information on a fault plane that has been shown previously by the detailed seismotectonic analysis of some weak and strong seismic events (<xref ref-type="bibr" rid="B17">Filippova and Fomochkina, 2023</xref>; <xref ref-type="bibr" rid="B18">2024</xref>; <xref ref-type="bibr" rid="B19">Filippova et al., 2022</xref>; <xref ref-type="bibr" rid="B20">2024</xref>). Nevertheless, lower residuals are attributed to the auxiliary nodal plane in the case of the largest 29 July 2021, Mw8.2 earthquake. Moreover, the length of the minor axes, calculated for the fault plane, is obviously overestimated. Taking this into account, we consider the nodal with a dip angle of 11&#xb0; as a fault plane for this event.</p>
<p>Based on the obtained integral characteristics (<xref ref-type="table" rid="T4">Table 4</xref>) and the fault plane selection discussed above, we can estimate real fault duration (<italic>t</italic>) and rupture length (<italic>L</italic>) multiplying <italic>l</italic>
<sub>max</sub> and &#x394;<italic>t</italic> by 3 and 2.5, respectively (<xref ref-type="bibr" rid="B11">Bukchin et al., 2020</xref>). Therefore, the most compact source with <italic>t</italic> &#x3d; 12 s and <italic>L</italic> &#x3d; 50 km is observed for the 16 July 2023 earthquake. As expected, the most long (300 km) and long-lasting (66 s) rupture is attributed to the 29 July 2021 earthquake. The 22 July 2020, Mw7.8, and 19 October 2020, Mw7.8 events are characterized by <italic>t</italic> &#x3d; 45 s, <italic>L</italic> &#x3d; 187 km and <italic>t</italic> &#x3d; 36 s, <italic>L</italic> &#x3d; 112 km, respectively.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Integral source characteristics for the seven major earthquakes in Southern Alaska, 2016&#x2013;2024. The earthquake source parameters are given for each of the two nodal planes.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Earthquake</th>
<th align="center">Nodal planes (strike, dip, slip), &#xb0;</th>
<th colspan="2" align="center">Length of major and minor axes <italic>l</italic>
<sub>max</sub> and <italic>l</italic>
<sub>min</sub>, km</th>
<th align="center">Duration &#x2206;<italic>t</italic>, s</th>
<th align="center">Velocity modulus &#x7c;<italic>v</italic>&#x7c;, km/s</th>
<th align="center">Angle &#x3c6;<sub>
<italic>l</italic>
</sub>,&#xb0;</th>
<th align="center">Angle &#x3c6;<sub>
<italic>v</italic>
</sub>,&#xb0;</th>
<th align="center">Residual</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">24-Jan-16</td>
<td align="center">60, 65, 40</td>
<td align="center">120</td>
<td align="center">37</td>
<td align="center">25</td>
<td align="center">3.5</td>
<td align="center">80</td>
<td align="center">80</td>
<td align="center">0.32</td>
</tr>
<tr>
<td align="center">310, 4, 149</td>
<td align="center">120</td>
<td align="center">37</td>
<td align="center">25</td>
<td align="center">3.5</td>
<td align="center">120</td>
<td align="center">300</td>
<td align="center">0.312</td>
</tr>
<tr>
<td rowspan="2" align="center">23-Jan-18</td>
<td align="center">165, 71, 164</td>
<td align="center">180</td>
<td align="center">23</td>
<td align="center">37.5</td>
<td align="center">3</td>
<td align="center">15</td>
<td align="center">195</td>
<td align="center">0.248</td>
</tr>
<tr>
<td align="center">260, 75, 20</td>
<td align="center">75</td>
<td align="center">23</td>
<td align="center">37.5</td>
<td align="center">3</td>
<td align="center">165</td>
<td align="center">165</td>
<td align="center">0.29</td>
</tr>
<tr>
<td rowspan="2" align="center">30-Nov-18</td>
<td align="center">189, 57, &#x2212;90</td>
<td align="center">105</td>
<td align="center">18</td>
<td align="center">15</td>
<td align="center">4.5</td>
<td align="center">160</td>
<td align="center">160</td>
<td align="center">0.363</td>
</tr>
<tr>
<td align="center">9, 33, &#x2212;90</td>
<td align="center">105</td>
<td align="center">18</td>
<td align="center">15</td>
<td align="center">4.5</td>
<td align="center">0</td>
<td align="center">180</td>
<td align="center">0.374</td>
</tr>
<tr>
<td rowspan="2" align="center">22-Jul-20</td>
<td align="center">245, 20, 90</td>
<td align="center">75</td>
<td align="center">40</td>
<td align="center">15</td>
<td align="center">4.25</td>
<td align="center">25</td>
<td align="center">10</td>
<td align="center">0.255</td>
</tr>
<tr>
<td align="center">65, 70, 90</td>
<td align="center">65</td>
<td align="center">0&#x2013;20</td>
<td align="center">15</td>
<td align="center">4.25</td>
<td align="center">170</td>
<td align="center">175</td>
<td align="center">0.275</td>
</tr>
<tr>
<td rowspan="2" align="center">19-Oct-20</td>
<td align="center">355, 45, 180</td>
<td align="center">45</td>
<td align="center">0&#x2013;15</td>
<td align="center">12</td>
<td align="center">3.5</td>
<td align="center">20</td>
<td align="center">20</td>
<td align="center">0.276</td>
</tr>
<tr>
<td align="center">85, 90, 45</td>
<td align="center">25</td>
<td align="center">0&#x2013;20</td>
<td align="center">8</td>
<td align="center">2</td>
<td align="center">15</td>
<td align="center">25</td>
<td align="center">0.295</td>
</tr>
<tr>
<td rowspan="2" align="center">29-Jul-21</td>
<td align="center">223, 11, 64</td>
<td align="center">120</td>
<td align="center">70</td>
<td align="center">22</td>
<td align="center">4</td>
<td align="center">15</td>
<td align="center">190</td>
<td align="center">0.212</td>
</tr>
<tr>
<td align="center">70, 80, 95</td>
<td align="center">70</td>
<td align="center">0&#x2013;25</td>
<td align="center">30</td>
<td align="center">2.1</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0.211</td>
</tr>
<tr>
<td rowspan="2" align="center">16-Jul-23</td>
<td align="center">245, 25, 90</td>
<td align="center">20</td>
<td align="center">0&#x2013;20</td>
<td align="center">4</td>
<td align="center">3.5</td>
<td align="center">150</td>
<td align="center">150</td>
<td align="center">0.341</td>
</tr>
<tr>
<td align="center">65, 65, 90</td>
<td align="center">30</td>
<td align="center">0&#x2013;15</td>
<td align="center">4</td>
<td align="center">4.5</td>
<td align="center">30</td>
<td align="center">30</td>
<td align="center">0.342</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s4">
<title>4 Discussion and conclusion</title>
<p>Focal mechanism solutions obtained for the considered earthquakes from surface wave analysis and reported by various seismological agencies (GCMT, USGS, GEOFON) agree well with each other (<xref ref-type="table" rid="T1">Table 1S</xref> of the Supporting Information). Quantitatively, the difference between them can be estimated by calculating the Kagan angle &#x3a6;&#x2013;an angle in a 3-D space by which one double-couple can be rotated into another one (<xref ref-type="bibr" rid="B31">Kagan, 1991</xref>; <xref ref-type="bibr" rid="B33">2007</xref>). Its minimum value &#x3a6; &#x3d; 0&#xb0; corresponds to identical focal mechanisms. Its maximum value is 120&#xb0;. The focal mechanisms, determined from surface wave analysis in this study, are used as the reference solutions. For all the considered earthquakes, the Kagan angles do not exceed 30&#xb0;, indicating good agreement between results obtained with different methods. It is worth noting that all the deviatoric seismic moment tensors, determined in the seismological agencies, are characterized by a small compensated linear vector dipole component (<xref ref-type="sec" rid="s11">Supplementary Table S1</xref> of the Supporting Information), i.e., they are very close to a pure double-couple model assumed in our calculations.</p>
<p>Scalar seismic moments and moment magnitudes, estimated using various approaches, are close to each other for the study earthquakes (<xref ref-type="sec" rid="s11">Supplementary Table S1</xref> of the Supporting Information). Difference in their magnitude values, which is likely connected with difference in the frequency ranges of the initial data, does not exceed 0.2 that is typical for seismic events with a comparable energy level (<xref ref-type="bibr" rid="B32">Kagan, 2003</xref>; <xref ref-type="bibr" rid="B17">Filippova and Fomochkina, 2023</xref>). Variations in source depth values are more significant as they can be as large as tens of kilometres (<xref ref-type="sec" rid="s11">Supplementary Table S1</xref> of the Supporting Information). The same tendency is observed in special studies, for instance, the source depth of the 29 July 2021 earthquake is estimated in the depth range from about 24 km (<xref ref-type="bibr" rid="B57">Sunil et al., 2022</xref>) to 33&#x2013;35 km (<xref ref-type="bibr" rid="B46">Liu et al., 2022</xref>; <xref ref-type="bibr" rid="B61">Ye et al., 2022</xref>). On the one hand, it could be a result of uncertainties arising in depth determinations based on teleseismic data. On the other hand, it could be due to a finite width of an earthquake source (<xref ref-type="table" rid="T4">Table 4</xref>). Scattering in depth determinations are also mentioned for three strong earthquakes in Southern Alaska in 2016&#x2013;2018 (<xref ref-type="bibr" rid="B11">Bukchin et al., 2020</xref>).</p>
<p>A good agreement is observed for rupture length and duration, determined for the 16 July 2023 earthquake in this study, and the USGS finite-fault model (<ext-link ext-link-type="uri" xlink:href="https://earthquake.usgs.gov/earthquakes/eventpage/us7000kg30/finite-fault">https://earthquake.usgs.gov/earthquakes/eventpage/us7000kg30/finite-fault</ext-link>) evidencing for the coseismic slip distribution in a compact area. Close values are also obtained for both the discussed parameters of the 19 October 2020 seismic event and the fault length of the 22 July 2020 earthquake. In the latter case, our estimate of the rupture duration (45 s) is significantly lower than the total time of moment release provided by USGS (&#x223c;110 s). Nevertheless, the maximum moment release is concentrated in a time range of about 50 s which is consistent with our results. It is interesting to note that the 19 October 2020 earthquake has longer and more long-lasting rupture in comparison with the 16 July 2023 event with the same moment magnitude. This could be due to the fact that strike-slip earthquakes can rupture the connected fault segments more easily and, consequently, produce longer ruptures than those developed by dip-slip events of the same magnitude (<xref ref-type="bibr" rid="B43">Leonard, 2010</xref>; <xref ref-type="bibr" rid="B58">Thingbaijam et al., 2017</xref>).</p>
<p>Two USGS finite-fault models are available for the 29 July 2021 earthquake (<ext-link ext-link-type="uri" xlink:href="https://earthquake.usgs.gov/earthquakes/eventpage/ak0219neiszm/finite-fault">https://earthquake.usgs.gov/earthquakes/eventpage/ak0219neiszm/finite-fault</ext-link>). One of them is based on teleseismic data only and shows the rupture duration of 98 s and the non-zero coseismic slip in the area of about 300 km long. The second one, also incorporating regional strong-motion and GNSS data, evidences for a more compact seismic source with duration of 68 s and large slips extend along approximately 175 km rupture. This model better suits the tsunami modelling results (<xref ref-type="bibr" rid="B48">Mulia et al., 2022</xref>). Close estimates of the length of maximum slip distribution are provided in most of special studies (<xref ref-type="bibr" rid="B46">Liu et al., 2022</xref>; <xref ref-type="bibr" rid="B48">Mulia et al., 2022</xref>; <xref ref-type="bibr" rid="B57">Sunil et al., 2022</xref>; <xref ref-type="bibr" rid="B61">Ye et al., 2022</xref>). Nevertheless, the slip is non-zero in a wider area whose lengths is up to 300 km in all the discussed models that does not contradict our results (L &#x3d; 300 km). Our rupture duration (66 s) is also consistent with the regional USGS finite-fault model and estimates by <xref ref-type="bibr" rid="B61">Ye et al. (2022)</xref>. In contrast, <xref ref-type="bibr" rid="B46">Liu et al. (2022)</xref> give the total rupture duration of &#x223c;110 s, while the main phase of the moment release is about 70 s.</p>
<p>Our analyzes of earthquake sequences associated to the recent major shocks in Southern Alaska, 2016&#x2013;2023, (<xref ref-type="bibr" rid="B11">Bukchin et al., 2020</xref>; this study), appear to confirm once again that their occurrences are not random, but rather lacking any obvious principle of organization (<xref ref-type="bibr" rid="B38">Kossobokov and Nekrasova, 2017</xref>; <xref ref-type="bibr" rid="B39">Kossobokov and Nekrasova, 2019</xref>; <xref ref-type="bibr" rid="B41">Kossobokov et al., 2022</xref>; <xref ref-type="bibr" rid="B40">Kossobokov and Nekrasova, 2024</xref>). Moreover, <xref ref-type="bibr" rid="B62">Nekrasova et al., 2011</xref> have demonstrated a complex distribution of the USLE coefficients A, B, and C, which do not display any evident general correlation, although following well-organized attractor in the 3D domain of possible values. <xref ref-type="bibr" rid="B45">Liu and Kossobokov (2021)</xref> described the observed high variability of the correlation between geodetic and seismic integrals in advance and after the 2004 Sumatra&#x2013;Andaman Mw9.2 earthquake in the Indian Ocean, the 2011 Tohoku Mw9.1 earthquake in Japan, the 2010 offshore Maule Mw8.8 and the 2015 Illapel Mw8.3 earthquakes in Chile, the 2018 Kodiak Mw7.9 earthquake in the Gulf of Alaska, and the 2016 Kaikoura Mw7.8 earthquake in New Zealand, which are indicative of a partial contribution of earthquakes to a generally aseismic apparently sporadic motion of small lithospheric blocks.</p>
<p>A uniform characterization of the fore- and aftershock sequences of the recent major earthquakes in Southern Alaska confirms the existence of the long-term periods of seismic stability defined by the averages of the USLE control parameter &#x3c;&#x3b7;&#x3e; that are interrupted by mid- or even short-term bursts of activity associated with catastrophic events. Neither of the two Mw7.1 events on 24 January 2016 and 30 November 2018 showed a change in the level of &#x3c;<italic>&#x3b7;</italic>&#x3e; observed in advance of their origin times, while the other five major shocks have eventually decreased the level of stable &#x3c;<italic>&#x3b7;</italic>&#x3e; by a factor of 4 for the 23 January 2018, Mw7.9 Kodiak earthquake, which aftershock series appears to continue, and by a factor of 2 for the cluster of the four most recent major shocks SW off the 1964 Great Alaskan earthquake rupture zone.</p>
<p>Apparently all the seven aftershock series follow the Omori power law trends, characterized by high goodness of fit for the USLE control parameter 50 per moving average &#x3c;<italic>&#x3b7;</italic>&#x3e;. There is a notable agreement in coefficients of the &#x3c;<italic>&#x3b7;</italic>&#x3e; Omori law fit for the aftershocks of the 22 July 2020, Mw7.8, and the 29 July 2021, Mw8.2 earthquakes, which are the nearest in location among the seven events considered. The evident flattering of &#x3c;<italic>&#x3b7;</italic>&#x3e; in aftershock series after 80, 30, and 35 days passed the 24 January 2016, Mw7.1, the 29 July 2021, Mw8.2, and the 16 July 2023, Mw7.2 major shocks, respectively, suggests an optional early termination of direct impact on local seismic activity independent of the earthquake magnitude in these three out of seven cases (<xref ref-type="table" rid="T2">Table 2</xref>). On the other hand, the above mentioned &#x3c;<italic>&#x3b7;</italic>&#x3e; series of the 2018 Kodiak earthquake keeps growing following the Omori power law trend for more than 7 years. It is also notable that in this case as shown in (<xref ref-type="bibr" rid="B45">Liu and Kossobokov, 2021</xref>) the correlation of large variance resides around steady low levels of 0.1&#x2013;0.2 between geodetic and seismic integrals, except for an excursion to highly coherent values about 1 lasted just for 2 weeks after the main shock. This Mw7.9 strike-slip earthquake 280 km SE of Kodiak Island occurred right in front of the southern border of the rupture zone of the 1964 Great Alaska, Mw9.3 mega-earthquake.</p>
<p>Thus, the uniform analyzes of foreshock-main shock-aftershock sequences in Central Italy, New Zealand, Southern Alaska, Japan, Taiwan, and worldwide (5, 9, 7, 1, 1, and 156 cases, respectively) do not support a unique scenario in seismic energy release, but (i) provide fundamental constrains on modelling realistic earthquake sequences, (ii) give a new confident insight into better understanding of regional seismic dynamics, and (iii) can be used to improve seismic hazard assessments, including forecast/prediction claims at different magnitude-space-time scales.</p>
<p>It seems premature to discuss if the observed quantitative characteristics of seismic variability and their scaling properties at regional scale in Southern Alaska (the level of the &#x3b7; moving average, in particular) disclose clear patterns useful in operational forecasting of extreme seismic catastrophes, due to the yet rather small number of the abovementioned regional and global case studies. Nevertheless, the observed group of seven major (Mw &#x2265; 7) earthquakes (see <xref ref-type="fig" rid="F1">Figures 1</xref>, <xref ref-type="fig" rid="F2">2</xref>, <xref ref-type="fig" rid="F9">9</xref>) calls for a special attention and monitoring of the ongoing seismic activation in the Pacific Northeast, in particular, keeping in mind the above mentioned on-going development of the seismic process at the northern boundary of the Pacific plate.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>The values of the USLE control parameter <italic>&#x3b7;</italic> (little crosses, red triangles at the times of major Mw &#x2265; 7.0 earthquakes) within the geographic bounds of 50&#xb0;&#x2013;65&#xb0;N and 140&#xb0;&#x2013;170&#xb0;W Black line displays the 50 per moving average &#x3c;<italic>&#x3b7;</italic>&#x3e; of the control parameter.</p>
</caption>
<graphic xlink:href="feart-13-1660221-g009.tif">
<alt-text content-type="machine-generated">A graph displays data from 2006 to 2025, showing fluctuations in logarithmic scale on the y-axis labeled &#x22;log&#x2081;&#x2080;&#x3B7;&#x22;. Blue dots represent data points with a black line indicating general trends. Red triangles highlight significant drops in values observed at the times of major earthquakes.</alt-text>
</graphic>
</fig>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>Publicly available datasets were analyzed in this study. This data can be found here: Advanced National Seismic System (ANSS) Comprehensive Catalog of Earthquake Events and Products (<ext-link ext-link-type="uri" xlink:href="https://earthquake.usgs.gov/data/comcat">https://earthquake.usgs.gov/data/comcat</ext-link> accessed 25 November 2024). Unified Scaling Law for Earthquakes: Global Map of Parameters <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.31905/XT753V44">https://doi.org/10.31905/XT753V44</ext-link>, hosted at the International Seismological Centre (ISC) Dataset Repository. Wilber 3: Select Event (<ext-link ext-link-type="uri" xlink:href="https://ds.iris.edu/wilber3/find_event">https://ds.iris.edu/wilber3/find_event</ext-link>). Data were accessed from the NSF SAGE data archive operated by EarthScope Consortium (NSF award 1724509).</p>
</sec>
<sec sec-type="author-contributions" id="s6">
<title>Author contributions</title>
<p>AFI: Visualization, Investigation, Conceptualization, Writing &#x2013; review and editing, Writing &#x2013; original draft. AFO: Writing &#x2013; review and editing, Writing &#x2013; original draft, Software, Conceptualization, Visualization, Investigation. VK: Writing &#x2013; original draft, Visualization, Conceptualization, Methodology, Data curation, Writing &#x2013; review and editing, Investigation. AN: Writing &#x2013; review and editing, Software, Investigation, Conceptualization, Writing &#x2013; original draft, Visualization.</p>
</sec>
<sec sec-type="funding-information" id="s7">
<title>Funding</title>
<p>The author(s) declare that no financial support was received for the research and/or publication of this article.</p>
</sec>
<ack>
<p>The study is carried on in the framework of the Russian State Task of Scientific Research Works of IEPT RAS.</p>
</ack>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
<p>The authors declared that VK was an editorial board member of Frontiers, at the time of submission. This had no impact on the peer review process and the final decision.</p>
</sec>
<sec sec-type="ai-statement" id="s9">
<title>Generative AI statement</title>
<p>The authors declare that no Generative AI was used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec sec-type="supplementary-material" id="s11">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/feart.2025.1660221/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/feart.2025.1660221/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Table1.docx" id="SM1" mimetype="application/docx" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<collab>Albuquerque Seismological Laboratory (ASL)/USGS</collab> (<year>1992</year>). <article-title>New China digital seismograph network</article-title>. <source>Int. Fed. Digital Seismogr. Netw.</source> <pub-id pub-id-type="doi">10.7914/SN/IC</pub-id>
</citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<collab>Albuquerque Seismological Laboratory/USGS. Global Seismograph Network (GSN &#x2013; IRIS/USGS)</collab> (<year>2014</year>). <source>Int. Fed. Digital Seismogr. Netw.</source> <pub-id pub-id-type="doi">10.7914/SN/IU</pub-id>
</citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Babich</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Chikachev</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Yanovskaya</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>1976</year>). <article-title>Surface waves in a vertically inhomogeneous elastic half-space with weak horizontal inhomogeneity</article-title>. <source>Izv. Akad. Nauk. Fiz. Zemli</source> <volume>4</volume>, <fpage>24</fpage>&#x2013;<lpage>31</lpage>. <comment>(in Russian)</comment>.</citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Backus</surname>
<given-names>G. E.</given-names>
</name>
</person-group> (<year>1977a</year>). <article-title>Interpreting the seismic glut moments of total degree two or less</article-title>. <source>Geophys. J. R. Astronomical Soc.</source> <volume>51</volume>, <fpage>1</fpage>&#x2013;<lpage>25</lpage>. <pub-id pub-id-type="doi">10.1111/j.1365-246X.1977.tb04187.x</pub-id>
</citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Backus</surname>
<given-names>G. E.</given-names>
</name>
</person-group> (<year>1977b</year>). <article-title>Seismic sources with observable glut moments of spatial degree two</article-title>. <source>Geophys. J. R. Astronomical Soc.</source> <volume>51</volume>, <fpage>27</fpage>&#x2013;<lpage>45</lpage>. <pub-id pub-id-type="doi">10.1111/j.1365-246X.1977.tb04188.x</pub-id>
</citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bak</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Christensen</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Danon</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Scanlon</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2002</year>). <article-title>Unified scaling law for earthquakes</article-title>. <source>Phys. Rev. Lett.</source> <volume>88</volume>, <fpage>178501</fpage>&#x2013;<lpage>178504</lpage>. <pub-id pub-id-type="doi">10.1103/PhysRevLett.88.178501</pub-id>
<pub-id pub-id-type="pmid">12005787</pub-id>
</citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bird</surname>
<given-names>P.</given-names>
</name>
</person-group> (<year>2003</year>). <article-title>An updated digital model of plate boundaries</article-title>. <source>Geochem. Geophys. Geosystems</source> <volume>4</volume> (<issue>3</issue>), <fpage>2001GC000252</fpage>. <pub-id pub-id-type="doi">10.1029/2001GC000252</pub-id>
</citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bukchin</surname>
<given-names>B. G.</given-names>
</name>
</person-group> (<year>1990</year>). <article-title>Determination of source parameters from surface wave recording allowing for uncertainties in the properties of medium</article-title>. <source>Izv. Akad. Nauk. SSSR. Fiz. Zemli</source> <volume>25</volume>, <fpage>723</fpage>&#x2013;<lpage>728</lpage>.</citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bukchin</surname>
<given-names>B. G.</given-names>
</name>
</person-group> (<year>1995</year>). <article-title>Determination of stress glut moments of total degree 2 from teleseismic surface wave amplitude spectra</article-title>. <source>Tectonophysics</source> <volume>248</volume> (<issue>3&#x2013;4</issue>), <fpage>185</fpage>&#x2013;<lpage>191</lpage>. <pub-id pub-id-type="doi">10.1016/0040-1951(94)00271-A</pub-id>
</citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bukchin</surname>
<given-names>B. G.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Second-moment approximation of the earthquake source and fault plane identification</article-title>. <source>Izvestiya, Phys. Solid Earth</source> <volume>52</volume>, <fpage>243</fpage>&#x2013;<lpage>249</lpage>. <pub-id pub-id-type="doi">10.1134/S1069351317020045</pub-id>
</citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bukchin</surname>
<given-names>B. G.</given-names>
</name>
<name>
<surname>Fomochkina</surname>
<given-names>A. S.</given-names>
</name>
<name>
<surname>Kossobokov</surname>
<given-names>V. G.</given-names>
</name>
<name>
<surname>Nekrasova</surname>
<given-names>A. K.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Characterizing the foreshock, main shock, and aftershock sequences of the recent major earthquakes in southern Alaska, 2016&#x2013;2018</article-title>. <source>Front. Earth Sci.</source> <volume>8</volume>, <fpage>584659</fpage>. <pub-id pub-id-type="doi">10.3389/feart.2020.584659</pub-id>
</citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Christensen</surname>
<given-names>D. H.</given-names>
</name>
<name>
<surname>Beck</surname>
<given-names>S. L.</given-names>
</name>
</person-group> (<year>1994</year>). <article-title>The rupture process and tectonic implications of the great 1964 Prince William Sound earthquake</article-title>. <source>Pageoph</source> <volume>142</volume>, <fpage>29</fpage>&#x2013;<lpage>53</lpage>. <pub-id pub-id-type="doi">10.1007/BF00875967</pub-id>
</citation>
</ref>
<ref id="B13">
<citation citation-type="web">
<collab>Danish Seismological Network</collab> (<year>2023</year>). <article-title>GEUS geological Survey of Denmark and Greenland, copenhagen, Denmark</article-title>. <comment>Available online at: <ext-link ext-link-type="uri" xlink:href="http://www.fdsn.org/networks/detail/DK/">http://www.fdsn.org/networks/detail/DK/</ext-link>.</comment>
</citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>DeMets</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Gordon</surname>
<given-names>R. G.</given-names>
</name>
<name>
<surname>Argus</surname>
<given-names>D. F.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>Geologically current plate motions</article-title>. <source>Geophys. J. Int.</source> <volume>181</volume>, <fpage>1</fpage>&#x2013;<lpage>80</lpage>. <pub-id pub-id-type="doi">10.1111/j.1365-246x.2009.04491.x</pub-id>
</citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dziewonski</surname>
<given-names>A. M.</given-names>
</name>
<name>
<surname>Anderson</surname>
<given-names>D. L.</given-names>
</name>
</person-group> (<year>1981</year>). <article-title>Preliminary reference Earth model</article-title>. <source>Phys. Earth Planet. Inter.</source> <volume>25</volume>, <fpage>297</fpage>&#x2013;<lpage>356</lpage>. <pub-id pub-id-type="doi">10.1016/0031-9201(81)90046-7</pub-id>
</citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dziewonski</surname>
<given-names>A. M.</given-names>
</name>
<name>
<surname>Woodhouse</surname>
<given-names>J. H.</given-names>
</name>
</person-group> (<year>1983</year>). <article-title>An experiment in systematic study of global seismicity: centroid-moment-tensor solutions for 201 moderate and large earthquakes of 1981</article-title>. <source>J. Geophys. Res.</source> <volume>88</volume>, <fpage>3247</fpage>&#x2013;<lpage>3271</lpage>. <pub-id pub-id-type="doi">10.1029/JB088iB04p03247</pub-id>
</citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Filippova</surname>
<given-names>A. I.</given-names>
</name>
<name>
<surname>Fomochkina</surname>
<given-names>A. S.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Source parameters of strong Turkish earthquakes on February 6, 2023 (M<sub>w</sub> &#x3d; 7.8 and M<sub>w</sub> &#x3d; 7.7) from surface wave data</article-title>. <source>Izvestiya, Phys. Solid Earth</source> <volume>59</volume> (<issue>6</issue>), <fpage>899</fpage>&#x2013;<lpage>911</lpage>. <pub-id pub-id-type="doi">10.1134/S1069351323060071</pub-id>
</citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Filippova</surname>
<given-names>A. I.</given-names>
</name>
<name>
<surname>Fomochkina</surname>
<given-names>A. S.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Seismotectonic position of the source of the July 13, 2023, earthquake in the Eastern laptev sea Shelf from surface wave data</article-title>. <source>Izv. Phys. Solid Earth</source> <volume>60</volume>, <fpage>1116</fpage>&#x2013;<lpage>1124</lpage>. <pub-id pub-id-type="doi">10.1134/S1069351324700927</pub-id>
</citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Filippova</surname>
<given-names>A. I.</given-names>
</name>
<name>
<surname>Bukchin</surname>
<given-names>B. G.</given-names>
</name>
<name>
<surname>Fomochkina</surname>
<given-names>A. S.</given-names>
</name>
<name>
<surname>Melnikova</surname>
<given-names>V. I.</given-names>
</name>
<name>
<surname>Radziminovich</surname>
<given-names>Ya.B.</given-names>
</name>
<name>
<surname>Gileva</surname>
<given-names>N. A.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Source process of the September 21, 2020 M<sub>w</sub> 5.6 Bystraya earthquake at the south-eastern segment of the main Sayan fault (Eastern siberia, Russia)</article-title>. <source>Tectonophysics</source> <volume>822</volume>, <fpage>229162</fpage>. <pub-id pub-id-type="doi">10.1016/j.tecto.2021.229162</pub-id>
</citation>
</ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Filippova</surname>
<given-names>A. I.</given-names>
</name>
<name>
<surname>Fomochkina</surname>
<given-names>A. S.</given-names>
</name>
<name>
<surname>Gileva</surname>
<given-names>N. A.</given-names>
</name>
<name>
<surname>Radziminovich</surname>
<given-names>Ya.B.</given-names>
</name>
<name>
<surname>Melnikova</surname>
<given-names>V. I.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>The September 6, 2021 M<sub>W</sub> 5.4 tofalaria earthquake at a weakly active segment of the main sayan fault (Eastern Siberia)</article-title>. <source>J. Struct. Geol.</source> <volume>188</volume>, <fpage>105255</fpage>. <pub-id pub-id-type="doi">10.1016/j.jsg.2024.105255</pub-id>
</citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<collab>GEOFON seismic network</collab> (<year>1993</year>). <article-title>Deutsches GeoForschungsZentrum GFZ. other/seismic network</article-title>. <pub-id pub-id-type="doi">10.14470/TR560404</pub-id>
</citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Geological Survey</surname>
<given-names>U. S.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Earthquake hazards program, advanced national seismic system (ANSS) comprehensive catalog of earthquake events and products</article-title>. <source>Various</source>. <pub-id pub-id-type="doi">10.5066/F7MS3QZH</pub-id>
</citation>
</ref>
<ref id="B23">
<citation citation-type="book">
<collab>Geoscope</collab> (<year>1982</year>). <source>French global network of broad band seismic stations</source>. <publisher-loc>Paris, France</publisher-loc>: <publisher-name>Institut de Physique du Globe de Paris</publisher-name>. <pub-id pub-id-type="doi">10.18715/GEOSCOPE</pub-id>
</citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gou</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Xia</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Structural heterogeneity of the alaska-aleutian forearc: implications for interplate coupling and seismogenic behaviors</article-title>. <source>J. Geophys. Res. Solid Earth</source> <volume>127</volume>, <fpage>e2022JB024621</fpage>. <pub-id pub-id-type="doi">10.1029/2022JB024621</pub-id>
</citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gutenberg</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Richter</surname>
<given-names>C. F.</given-names>
</name>
</person-group> (<year>1944</year>). <article-title>Frequency of earthquakes in California</article-title>. <source>Bull. Seism. Soc. Am.</source> <volume>34</volume> (<issue>4</issue>), <fpage>185</fpage>&#x2013;<lpage>188</lpage>. <pub-id pub-id-type="doi">10.1785/BSSA0340040185</pub-id>
</citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hanks</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Kanamori</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>1979</year>). <article-title>A moment magnitude scale</article-title>. <source>J. Geophys. Res.</source> <volume>84</volume> (<issue>B5</issue>), <fpage>2348</fpage>&#x2013;<lpage>2350</lpage>. <pub-id pub-id-type="doi">10.1029/JB084iB05p02348</pub-id>
</citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hayes</surname>
<given-names>G. P.</given-names>
</name>
<name>
<surname>Rivera</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Kanamori</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Source inversion of the W-phase: real-Time implementation and extension to low magnitudes</article-title>. <source>Seism. Res. Lett.</source> <volume>80</volume> (<issue>5</issue>), <fpage>817</fpage>&#x2013;<lpage>822</lpage>. <pub-id pub-id-type="doi">10.1785/gssrl.80.5.817</pub-id>
</citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hayes</surname>
<given-names>G. P.</given-names>
</name>
<name>
<surname>Moore</surname>
<given-names>G. L.</given-names>
</name>
<name>
<surname>Portner</surname>
<given-names>D. E.</given-names>
</name>
<name>
<surname>Hearne</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Flamme</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Furtney</surname>
<given-names>M.</given-names>
</name>
<etal/>
</person-group> (<year>2018</year>). <article-title>Slab2, a comprehensive subduction zone geometry model</article-title>. <source>Science</source> <volume>362</volume> (<issue>6410</issue>), <fpage>58</fpage>&#x2013;<lpage>61</lpage>. <pub-id pub-id-type="doi">10.1126/science.aat4723</pub-id>
<pub-id pub-id-type="pmid">30093602</pub-id>
</citation>
</ref>
<ref id="B29">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Heidbach</surname>
<given-names>O.</given-names>
</name>
<name>
<surname>Rajabi</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Reiter</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Ziegler</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2016</year>). <source>World stress map 2016</source>. <publisher-loc>Potsdam, Germany</publisher-loc>: <publisher-name>GFZ data service</publisher-name>. <pub-id pub-id-type="doi">10.5880/WSM.2016.002</pub-id>
</citation>
</ref>
<ref id="B30">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Herman</surname>
<given-names>M. W.</given-names>
</name>
<name>
<surname>Furlong</surname>
<given-names>K. P.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Triggering an unexpected earthquake in an uncoupled subduction zone</article-title>. <source>Sci. Adv.</source> <volume>7</volume> (<issue>13</issue>), <fpage>eabf7590</fpage>. <pub-id pub-id-type="doi">10.1126/sciadv.abf7590</pub-id>
<pub-id pub-id-type="pmid">33762346</pub-id>
</citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kagan</surname>
<given-names>Y. Y.</given-names>
</name>
</person-group> (<year>1991</year>). <article-title>3-D rotation of double-couple earthquake sources</article-title>. <source>Geophys. J. Int.</source> <volume>106</volume>, <fpage>709</fpage>&#x2013;<lpage>716</lpage>. <pub-id pub-id-type="doi">10.1111/j.1365-246X.1991.tb06343.x</pub-id>
</citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kagan</surname>
<given-names>Y. Y.</given-names>
</name>
</person-group> (<year>2003</year>). <article-title>Accuracy of modern global earthquake catalogs</article-title>. <source>Phys. Earth Planet. Inter.</source> <volume>135</volume>, <fpage>173</fpage>&#x2013;<lpage>209</lpage>. <pub-id pub-id-type="doi">10.1016/S0031-9201(02)00214-5</pub-id>
</citation>
</ref>
<ref id="B33">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kagan</surname>
<given-names>Y. Y.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Simplified algorithms for calculating double-couple rotation</article-title>. <source>Geophys. J. Int.</source> <volume>171</volume> (<issue>1</issue>), <fpage>411</fpage>&#x2013;<lpage>418</lpage>. <pub-id pub-id-type="doi">10.1111/j.1365-246X.2007.03538.x</pub-id>
</citation>
</ref>
<ref id="B63">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kanamori</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>1970</year>). <article-title>The Alaska earthquake of 1964: radiation of long-period surface waves and source mechanism</article-title>. <source>J. Geophys. Res.</source> <volume>75</volume>, <fpage>5029</fpage>&#x2013;<lpage>5040</lpage>. <pub-id pub-id-type="doi">10.1029/jb075i026p05029</pub-id>
</citation>
</ref>
<ref id="B34">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kanamori</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Rivera</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Source inversion of W phase: speeding up seismic tsunami warning</article-title>. <source>J. Int.</source> <volume>175</volume> (<issue>1</issue>), <fpage>222</fpage>&#x2013;<lpage>238</lpage>. <pub-id pub-id-type="doi">10.1111/j.1365-246X.2008.03887.x</pub-id>
</citation>
</ref>
<ref id="B35">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kossobokov</surname>
<given-names>V.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Are mega earthquakes predictable?</article-title> <source>Izvestiya, Atmos. Ocean. Phys.</source> <volume>46</volume> (<issue>8</issue>), <fpage>951</fpage>&#x2013;<lpage>961</lpage>. <pub-id pub-id-type="doi">10.1134/S0001433811080032</pub-id>
</citation>
</ref>
<ref id="B36">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Kossobokov</surname>
<given-names>V.</given-names>
</name>
</person-group> (<year>2021</year>). &#x201c;<article-title>Unified scaling law for earthquakes that generalizes the fundamental gutenberg-richter relationship</article-title>,&#x201d; in <source>Encyclopedia of solid Earth geophysics. Encyclopedia of Earth sciences series</source>. Editor <person-group person-group-type="editor">
<name>
<surname>Gupta</surname>
<given-names>H. K.</given-names>
</name>
</person-group> (<publisher-loc>Cham</publisher-loc>: <publisher-name>Springer</publisher-name>), <fpage>1893</fpage>&#x2013;<lpage>1896</lpage>. <pub-id pub-id-type="doi">10.1007/978-3-030-58631-7_257</pub-id>
</citation>
</ref>
<ref id="B37">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Kossobokov</surname>
<given-names>V. G.</given-names>
</name>
<name>
<surname>Mazhkenov</surname>
<given-names>S. A.</given-names>
</name>
</person-group> (<year>1994</year>). &#x201c;<article-title>On similarity in the spatial distribution of seismicity</article-title>,&#x201d; in <source>Computational seismology and geodynamics</source>. Editor <person-group person-group-type="editor">
<name>
<surname>Chowdhury</surname>
<given-names>D. K.</given-names>
</name>
</person-group> (<publisher-loc>Washington DC</publisher-loc>: <publisher-name>Am. Geophys. Union</publisher-name>), <fpage>6</fpage>&#x2013;<lpage>15</lpage>. <pub-id pub-id-type="doi">10.1029/CS001p0006</pub-id>
</citation>
</ref>
<ref id="B38">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Kossobokov</surname>
<given-names>V. G.</given-names>
</name>
<name>
<surname>Nekrasova</surname>
<given-names>A. K.</given-names>
</name>
</person-group> (<year>2017</year>). &#x201c;<article-title>Characterizing aftershock sequences of the recent strong earthquakes in central Italy</article-title>,&#x201d;, <volume>174</volume>. <publisher-name>Springer International Publishing AG</publisher-name>, <fpage>3713</fpage>&#x2013;<lpage>3723</lpage>. <pub-id pub-id-type="doi">10.1007/s00024-017-1624-9</pub-id>
<source>Pure Appl. Geophys</source>
</citation>
</ref>
<ref id="B39">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Kossobokov</surname>
<given-names>V. G.</given-names>
</name>
<name>
<surname>Nekrasova</surname>
<given-names>A. K.</given-names>
</name>
</person-group> (<year>2019</year>). &#x201c;<article-title>Aftershock sequences of the recent major earthquakes in New Zealand</article-title>,&#x201d;, <volume>176</volume>. <publisher-name>Springer International Publishing AG</publisher-name>, <fpage>1</fpage>&#x2013;<lpage>23</lpage>. <pub-id pub-id-type="doi">10.1007/s00024-018-2071-y</pub-id>
<source>Pure Appl. Geophys.</source>
</citation>
</ref>
<ref id="B40">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kossobokov</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Nekrasova</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Myths about earthquakes: quo vadis?</article-title> <source>Acta Geol. Sin. Eng. Ed.</source> <volume>98</volume> (<issue>Suppl. 1</issue>), <fpage>30</fpage>&#x2013;<lpage>32</lpage>. <pub-id pub-id-type="doi">10.1111/1755-6724.15231</pub-id>
</citation>
</ref>
<ref id="B41">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kossobokov</surname>
<given-names>V. G.</given-names>
</name>
<name>
<surname>Nekrasova</surname>
<given-names>A. K.</given-names>
</name>
<name>
<surname>Schepalina</surname>
<given-names>P. D.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Seismic dynamics in advance of and after the largest earthquakes, 1985&#x2013;2020</article-title>. <source>Geophys</source> <volume>43</volume>, <fpage>423</fpage>&#x2013;<lpage>436</lpage>. <pub-id pub-id-type="doi">10.1007/s10712-021-09674-0</pub-id>
</citation>
</ref>
<ref id="B42">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lasserre</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Bukchin</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Bernard</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Tapponier</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Gaudemer</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Mostinsky</surname>
<given-names>A.</given-names>
</name>
<etal/>
</person-group> (<year>2001</year>). <article-title>Source parameters and tectonic origin of the 1996 June 1 Tianzhu (Mw&#x3d;5.2) and 1995 July 21 Yongden (Mw&#x3d;5.6) earthquakes near the Haiyuan fault (Gansu, China)</article-title>. <source>Geophys. J. Int.</source> <volume>144</volume>, <fpage>206</fpage>&#x2013;<lpage>220</lpage>. <pub-id pub-id-type="doi">10.1046/J.1365-246X.2001.00313.X</pub-id>
</citation>
</ref>
<ref id="B43">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Leonard</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>Earthquake fault scaling: Self-consistent relating of rupture length, width, average displacement, and moment release</article-title>. <source>Bull. Seismol. Soc. Am.</source> <volume>100</volume>, <fpage>1971</fpage>&#x2013;<lpage>1988</lpage>. <pub-id pub-id-type="doi">10.1785/0120090189</pub-id>
</citation>
</ref>
<ref id="B44">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Levshin</surname>
<given-names>A. L.</given-names>
</name>
<name>
<surname>Yanovskaya</surname>
<given-names>T. B.</given-names>
</name>
<name>
<surname>Lander</surname>
<given-names>A. V.</given-names>
</name>
<name>
<surname>Bukchin</surname>
<given-names>B. G.</given-names>
</name>
<name>
<surname>Barmin</surname>
<given-names>M. P.</given-names>
</name>
<name>
<surname>Ratnikova</surname>
<given-names>L. I.</given-names>
</name>
<etal/>
</person-group> (<year>1989</year>). &#x201c;<article-title>Recording, identification, and measurement of surface wave parameters</article-title>,&#x201d; in <source>Seismic surface waves in a laterally inhomogeneous Earth</source>. <source>Modern approaches in geophysics</source>. Editor <person-group person-group-type="editor">
<name>
<surname>Keilis-Borok</surname>
<given-names>V. I.</given-names>
</name>
</person-group>, <volume>9</volume>, <fpage>131</fpage>&#x2013;<lpage>182</lpage>. <pub-id pub-id-type="doi">10.1007/978-94-009-0883-3_5</pub-id>
</citation>
</ref>
<ref id="B45">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Kossobokov</surname>
<given-names>V. G.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Displacements before and after great earthquakes: geodetic and seismic viewpoints</article-title>. <source>Pure Appl. Geophys.</source> <volume>178</volume>, <fpage>1135</fpage>&#x2013;<lpage>1155</lpage>. <pub-id pub-id-type="doi">10.1007/s00024-021-02694-2</pub-id>
</citation>
</ref>
<ref id="B46">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Lay</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Xiong</surname>
<given-names>X.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>The 29 July 2021 <italic>M</italic>
<sub>W</sub> 8.2 Chignik, Alaska Peninsula earthquake rupture inferred from seismic and geodetic observations: re-rupture of the Western 2/3 of the 1938 rupture zone</article-title>. <source>Geophys. Res. Lett.</source> <volume>49</volume>, <fpage>e2021GL096004</fpage>. <pub-id pub-id-type="doi">10.1029/2021GL096004</pub-id>
</citation>
</ref>
<ref id="B47">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mendiguren</surname>
<given-names>J. A.</given-names>
</name>
</person-group> (<year>1977</year>). <article-title>Inversion of surface wave data in source mechanism studies</article-title>. <source>J. Geophys. Res.</source> <volume>82</volume> (<issue>5</issue>), <fpage>889</fpage>&#x2013;<lpage>894</lpage>. <pub-id pub-id-type="doi">10.1029/JB082i005p00889</pub-id>
</citation>
</ref>
<ref id="B48">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mulia</surname>
<given-names>I. E.</given-names>
</name>
<name>
<surname>Gusman</surname>
<given-names>A. R.</given-names>
</name>
<name>
<surname>Heidarzadeh</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Satake</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Sensitivity of tsunami Data to the Up-Dip Extent of the July 2021 Mw 8.2 Alaska earthquake</article-title>. <source>Seismol. Res. Lett.</source> <volume>93</volume> (<issue>4</issue>), <fpage>1992</fpage>&#x2013;<lpage>2003</lpage>. <pub-id pub-id-type="doi">10.1785/0220210359</pub-id>
</citation>
</ref>
<ref id="B49">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Nataf</surname>
<given-names>H.-C.</given-names>
</name>
<name>
<surname>Ricard</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>1996</year>). <article-title>3SMAC: an <italic>a priori</italic> tomographic model of the upper mantle based on geophysical modeling</article-title>. <source>Phys. Earth Planet. Interiors</source> <volume>95</volume>, <fpage>101</fpage>&#x2013;<lpage>122</lpage>. <pub-id pub-id-type="doi">10.1016/0031-9201(95)03105-7</pub-id>
</citation>
</ref>
<ref id="B62">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Nekrasova</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Kossobokov</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Peresan</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Aoudia</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Panza</surname>
<given-names>G. F.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>A multiscale application of the unified scaling law for earthquakes in the central mediterranean area and alpine region</article-title>. <source>Pure Appl. Geophys.</source> <volume>168</volume>, <fpage>297</fpage>&#x2013;<lpage>327</lpage>. <pub-id pub-id-type="doi">10.1007/s00024-010-0163-4</pub-id>
</citation>
</ref>
<ref id="B50">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Nekrasova</surname>
<given-names>A. K.</given-names>
</name>
<name>
<surname>Kossobokov</surname>
<given-names>V. G.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Unified scaling law for earthquakes: global map of parameters</article-title>. <source>ISC&#x2019;s Seismol. Dataset Repos.</source> <pub-id pub-id-type="doi">10.31905/XT753V44</pub-id>
</citation>
</ref>
<ref id="B51">
<citation citation-type="journal">
<collab>NOAA National Centers for Environmental Information</collab> (<year>2024</year>). <article-title>ETOPO 2022 15 arc-second global relief model</article-title>. <source>NOAA Natl. Centers Environ. Inf.</source> <pub-id pub-id-type="doi">10.25921/fd45-gt74</pub-id>
</citation>
</ref>
<ref id="B52">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Press</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Jackson</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>1965</year>). <article-title>Alaskan earthquake, 27 march 1964: vertical extent of faulting and elastic strain energy release</article-title>. <source>Science</source> <volume>147</volume>, <fpage>867</fpage>&#x2013;<lpage>868</lpage>. <pub-id pub-id-type="doi">10.1126/science.147.3660.867</pub-id>
<pub-id pub-id-type="pmid">17793562</pub-id>
</citation>
</ref>
<ref id="B53">
<citation citation-type="journal">
<collab>Scripps Institution of Oceanography</collab> (<year>1986</year>). <article-title>Global seismograph network &#x2013; IRIS/IDA</article-title>. <source>Int. Fed. Digital Seismogr. Netw.</source> <comment>[Data set]</comment>. <pub-id pub-id-type="doi">10.7914/SN/II</pub-id>
</citation>
</ref>
<ref id="B54">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Seredkina</surname>
<given-names>A. I.</given-names>
</name>
<name>
<surname>Kozmin</surname>
<given-names>B. M.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Source parameters of the taimyr earthquake of June 9, 1990</article-title>. <source>Dokl. Earth Sci.</source> <volume>472</volume>, <fpage>342</fpage>&#x2013;<lpage>345</lpage>. <pub-id pub-id-type="doi">10.1134/S1028334X1702026X</pub-id>
</citation>
</ref>
<ref id="B55">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Seredkina</surname>
<given-names>A. I.</given-names>
</name>
<name>
<surname>Melnikova</surname>
<given-names>V. I.</given-names>
</name>
<name>
<surname>Radziminovich</surname>
<given-names>Y. B.</given-names>
</name>
<name>
<surname>Gileva</surname>
<given-names>N. A.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Seismicity of the Erguna region (Northeastern China): evidence for local stress redistribution</article-title>. <source>Bull. Seismol. Soc. Am.</source> <volume>110</volume>, <fpage>803</fpage>&#x2013;<lpage>815</lpage>. <pub-id pub-id-type="doi">10.1785/0120190182</pub-id>
</citation>
</ref>
<ref id="B56">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sipkin</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>1982</year>). <article-title>Estimation of earthquake source parameters by the inversion of waveform data: synthetic waveforms</article-title>. <source>Phys. Earth Planet. Int.</source> <volume>30</volume> (<issue>2&#x2013;3</issue>), <fpage>242</fpage>&#x2013;<lpage>259</lpage>. <pub-id pub-id-type="doi">10.1016/0031-9201(82)90111-X</pub-id>
</citation>
</ref>
<ref id="B57">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sunil</surname>
<given-names>A. S.</given-names>
</name>
<name>
<surname>Sunil</surname>
<given-names>P. S.</given-names>
</name>
<name>
<surname>Shrivastava</surname>
<given-names>M. N.</given-names>
</name>
<name>
<surname>Maurya</surname>
<given-names>A. K.</given-names>
</name>
<name>
<surname>Thomas</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Gonzalez</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Seismic induced ground deformation and ionospheric perturbations of the 29 July 2021, Mw 8.2 Chignik Earthquake, Alaska</article-title>. <source>J. Geophys. Res. Space Phys.</source> <volume>127</volume>, <fpage>e2022JA030576</fpage>. <pub-id pub-id-type="doi">10.1029/2022JA030576</pub-id>
</citation>
</ref>
<ref id="B58">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Thingbaijam</surname>
<given-names>K. K. S.</given-names>
</name>
<name>
<surname>Mai</surname>
<given-names>P. M.</given-names>
</name>
<name>
<surname>Goda</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>New empirical earthquake source-scaling laws</article-title>. <source>Bull. Seismol. Soc. Am.</source> <volume>107</volume>, <fpage>2225</fpage>&#x2013;<lpage>2246</lpage>. <pub-id pub-id-type="doi">10.1785/0120170017</pub-id>
</citation>
</ref>
<ref id="B59">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Woodhouse</surname>
<given-names>J. H.</given-names>
</name>
</person-group> (<year>1974</year>). <article-title>Surface waves in a laterally varying layered structure</article-title>. <source>Geophys. J. R. Astronomical Soc.</source> <volume>37</volume>, <fpage>461</fpage>&#x2013;<lpage>490</lpage>. <pub-id pub-id-type="doi">10.1111/j.1365-246X.1974.tb04098.x</pub-id>
</citation>
</ref>
<ref id="B60">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wyss</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Brune</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>1967</year>). <article-title>The Alaska earthquake of 28 March 1964: a complex multiple rupture</article-title>. <source>Bull. Seism. Soc. Am.</source> <volume>57</volume> (<issue>5</issue>), <fpage>1017</fpage>&#x2013;<lpage>1023</lpage>. <pub-id pub-id-type="doi">10.1785/BSSA0570051017</pub-id>
</citation>
</ref>
<ref id="B61">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ye</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Bai</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Si</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Lay</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Cheung</surname>
<given-names>K. F.</given-names>
</name>
<name>
<surname>Kanamori</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Rupture model for the 29 July 2021 <italic>M</italic>
<sub>W</sub> 8.2 chignik, Alaska earthquake constrained by seismic, geodetic, and tsunami observations</article-title>. <source>J. Geophys. Res. Solid Earth</source> <volume>127</volume>, <fpage>e2021JB023676</fpage>. <pub-id pub-id-type="doi">10.1029/2021JB023676</pub-id>
</citation>
</ref>
</ref-list>
</back>
</article>