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  <front>
    <journal-meta><journal-id journal-id-type="publisher">SE</journal-id><journal-title-group>
    <journal-title>Solid Earth</journal-title>
    <abbrev-journal-title abbrev-type="publisher">SE</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Solid Earth</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1869-9529</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/se-17-711-2026</article-id><title-group><article-title>Deciphering the crustal structure of the Lerma Valley (NW Argentina): a multi-method seismic investigation</article-title><alt-title>Deciphering the crustal structure of the Lerma Valley (NW Argentina)</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Criado-Sutti</surname><given-names>Emilio J. M.</given-names></name>
          <email>criadosutt@uni-potsdam.de</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Olivar-Castaño</surname><given-names>Andrés</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5957-942X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Krüger</surname><given-names>Frank</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Montero-López</surname><given-names>Carolina</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-3943-5648</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Aranda-Viana</surname><given-names>Germán</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Zeckra</surname><given-names>Martin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0892-2002</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Heimann</surname><given-names>Sebastian</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0096-7193</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Institut für Geowissenschaften, Universität Potsdam, Karl-Liebknecht-Str. 24–25, 14476, Potsdam-Golm, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Instituto de Bio y Geociencias del NOA (IBIGEO), UNSa-CONICET, Av. 9 de Julio 14, A4405BBA Rosario de Lerma, Salta, Argentina</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Erdbebenstation Bensberg, Universität zu Köln, Vinzenz-Pallotti-Str. 26, 51429 Bergisch Gladbach, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Emilio J. M. Criado-Sutti (criadosutt@uni-potsdam.de)</corresp></author-notes><pub-date><day>12</day><month>May</month><year>2026</year></pub-date>
      
      <volume>17</volume>
      <issue>5</issue>
      <fpage>711</fpage><lpage>733</lpage>
      <history>
        <date date-type="received"><day>24</day><month>June</month><year>2025</year></date>
           <date date-type="rev-request"><day>15</day><month>September</month><year>2025</year></date>
           <date date-type="rev-recd"><day>9</day><month>April</month><year>2026</year></date>
           <date date-type="accepted"><day>27</day><month>April</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Emilio J. M. Criado-Sutti et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://se.copernicus.org/articles/17/711/2026/se-17-711-2026.html">This article is available from https://se.copernicus.org/articles/17/711/2026/se-17-711-2026.html</self-uri><self-uri xlink:href="https://se.copernicus.org/articles/17/711/2026/se-17-711-2026.pdf">The full text article is available as a PDF file from https://se.copernicus.org/articles/17/711/2026/se-17-711-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e150">We investigated the crustal structure beneath the Lerma Valley in northwestern Argentina using data from a local seismic network deployed between 2017 and 2018. This geologically complex transition zone between the Eastern Cordillera and the Santa Bárbara system is characterized by moderate to high seismicity, yet remains largely understudied despite its strategic location within the Andean orogen. Its passive orogenic setting and evidence of inherited structures make it a natural laboratory for exploring intraplate deformation and foreland basin evolution.  We combined local and teleseismic receiver functions with ambient noise tomography (ANT), jointly inverting Rayleigh wave phase velocities to obtain 1D shear-wave velocity profiles. The results reveal a stratified crust with four main discontinuities at <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">53</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">43</mml:mn></mml:mrow></mml:math></inline-formula>, 35–30, 10–8, and 1.5–1.2 km, corresponding to the Moho, mid- and lower-crustal boundaries, and the sedimentary basin base. A southward-dipping Moho is evident from CCP migration and T-component phase shifts. Velocity profiles also show a north–south contrast: lower velocities (1–2.5 <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) in the south indicate thicker, less consolidated sediments, while the north exhibits more competent crust (up to 3.5 <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). The final model comprises five layers, including three sedimentary and two crystalline crustal units. We also introduced a layer-dependent <inline-formula><mml:math id="M4" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula> correction, revealing a trend from 1.65 at the Moho to 2 in the upper layers. These results provide new geophysical constraints on the crustal architecture and tectonic evolution of this underexplored Andean region.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Consejo Nacional de Investigaciones Científicas y Técnicas</funding-source>
<award-id>PUE‐IBIGEO 22920160100108CO</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Agencia Nacional de Promoción Científica y Tecnológica</funding-source>
<award-id>PICT 2017-1928</award-id>
</award-group>
<award-group id="gs3">
<funding-source>Deutsche Forschungsgemeinschaft</funding-source>
<award-id>DFG grant STR 373/34-1</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e217">The Lerma Valley, located in Northwestern Argentina, represents a geologically complex transition zone between the Eastern Cordillera and the Santa Bárbara system (Fig. <xref ref-type="fig" rid="F1"/>a). Characterized by moderate to high and diffuse seismicity <xref ref-type="bibr" rid="bib1.bibx32" id="paren.1"/> in comparison to its surrounding orogenic belts, this region exhibits unique tectonic features that remain largely understudied. Despite its strategic location within the Andean orogen, due to its mining and agronomic activities, and also being a densely populated province capital, no detailed geophysical or seismological investigations have been carried out in the valley, leaving significant gaps in our understanding of crustal deformation processes in this area <xref ref-type="bibr" rid="bib1.bibx33 bib1.bibx1" id="paren.2"/>. The basins current structural configuration suggests a passive orogenic regime, where deformation is not strongly controlled by active tectonics but rather by inherited structures and long-term crustal reorganization <xref ref-type="bibr" rid="bib1.bibx62" id="paren.3"/>. This makes it a natural laboratory for investigating the dynamics of passive orogen and the foreland evolution in continental interiors.</p>
      <p id="d2e231">Geological evidence indicates that the Lerma Valley has undergone a complex tectonic history marked by Paleozoic basement uplift, Cenozoic basin development, and Quaternary fault reactivation <xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx35" id="paren.4"/>. These features offer a valuable opportunity to analyze the interplay between ancient tectonic inheritance and ongoing stress fields. The lack of systematic geophysical data, including seismic imaging, ambient noise tomography, and receiver-function analysis, underline the need for comprehensive studies aimed at understanding both its current rheologic and geodynamic behavior and its relationship with broader Andean processes. The integration of multidisciplinary geophysical approaches in the Lerma Valley holds the potential to shade some light on the mechanisms of intraplate deformation and the evolution of passive orogens–topics that remain poorly constrained at a global scale <xref ref-type="bibr" rid="bib1.bibx59 bib1.bibx72" id="paren.5"/>.</p>
      <p id="d2e240">In this context, improving our knowledge of the crustal structure of the Lerma Valley in northwestern Argentina has important implications for the understanding of the Andean crustal characteristics, ongoing orogenesis, and isostatic processes. Moreover, the Lerma Valley and adjacent areas in the Santa Bárbara System has a very active seismogenic history with several destructive events with <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>. Recent events include the <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> 6.1 2010 Salta earthquake and the 1930 La Poma event <xref ref-type="bibr" rid="bib1.bibx32" id="paren.6"/>. In the Santa Bárbara System, historic 1692 Nuestra Señora de Talavera de Esteco <xref ref-type="bibr" rid="bib1.bibx32" id="paren.7"/>, the 1825 Anta <xref ref-type="bibr" rid="bib1.bibx32 bib1.bibx54" id="paren.8"/>, and the <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> 5.8 2015 el Galpón earthquakes testify to the present-day seismotectonic activity that reflects the stress transfer from the active continental margin to the orogenic hinterland. The destruction related to the 2015 El Galpón earthquake and the damage-buildings suffered by the 2010 Salta earthquake are testimony of potential high-acceleration zones in this region. Recent studies conducted in the vicinity of the Salta city (in the center of Lerma valley) have revealed the presence of unconsolidated sediments within the first 25 m below the surface <xref ref-type="bibr" rid="bib1.bibx52 bib1.bibx53" id="paren.9"/>. It has been demonstrated <xref ref-type="bibr" rid="bib1.bibx22" id="paren.10"/> that these sediments are susceptible to water saturation after heavy rainfalls during the austral monsoon season; these unconsolidated deposits have important implications for site effects and amplification phenomena.</p>
      <p id="d2e296">The main tectonic structures of this area remain poorly constrained at depth, and they are very complex due to the existence of Cretaceous extensional faults that have been subjected to contractional inversion during Cenozoic Andean mountain building. A detailed characterization of the basin sediments is of paramount importance for further seismological and geotechnical applications and mitigation efforts. In addition, the deeper crustal structures are poorly known. For example, the boundaries for the upper, middle and lower crust were only studied for the northern and southern limit of the studied region. The thickness of the crustal units was first established by <xref ref-type="bibr" rid="bib1.bibx13" id="text.11"/> in a study of the seismicity of the Zapla ranges in the province of Jujuy, which provided a depth of 42 km for the Moho. Thirty years later, <xref ref-type="bibr" rid="bib1.bibx86" id="text.12"/> presented a model for the crust that placed the Moho at 46 km to the southeast of our study region. However, deriving detailed velocity models was not the aim of neither of these previous studies, as the models were derived from inversions of the travel times of seismic phases of local crustal earthquakes for better location.</p>
      <p id="d2e306">The limitations of traditional seismic methods based on active seismic sources include their limited spatial coverage and the associated implementation costs. In contrast, ambient noise tomography (ANT) uses records of the seismic ambient noise wavefield at different locations to passively probe subsurface structures. By cross-correlating such records between two seismic stations, it is possible to extract coherent signals that are, under certain assumptions, proportional to the Green's function between the pair of stations, in addition it is worth to mention that unlike active seismic sources, the ANT are diffuse spatially and temporally <xref ref-type="bibr" rid="bib1.bibx80 bib1.bibx71 bib1.bibx7" id="paren.13"/>. As complementary information to that provided by the ANT (Green's functions and wave velocities), receiver functions (RF) contain information related to the seismic discontinuities in the subsurface, which can in turn be used in the inversion of velocity models based on the dispersion curves calculated for the surface wave part of empirical Green's functions <xref ref-type="bibr" rid="bib1.bibx34" id="paren.14"/>.</p>
      <p id="d2e315">The goal of this study was to develop a detailed velocity model that includes the lower, middle, and upper crust. This model was constrained by receiver function results and phase velocity dispersion curves (obtained from ANT); when jointly inverted these provide a local S-wave velocity model that accounts for the discontinuities at different scales. These discontinuities where then be compared to those proposed by previous studies for the uppermost units of the upper crust.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Geological setting</title>
      <p id="d2e326">The studied area encompasses the Lerma Valley, an approximately 150-kilometer-long, north–south-oriented intermontane basin in the Eastern Cordillera of Argentina. The basin is flanked by basement-cored ranges (Pascha and Lesser ranges in the west, and Mojotoro-Castillejo-El Cebilar ranges in the east) delimited by reverse faults with both east and west vergence. These main structures correspond to inverted Cretaceous normal faults and Paleozoic faults which were reactivated during the Andean orogen <xref ref-type="bibr" rid="bib1.bibx25 bib1.bibx45 bib1.bibx46" id="paren.15"/>. One of the most important structures in the area is the regional Calama-Olacapato-Toro (COT) lineament (<xref ref-type="fig" rid="F1"/>). This NW–SE trending structure crosses the Lerma Valley and could have exerted a tectonic control over the Paleozoic depostis and the Salta Group rift sequences to the north and south, respectively <xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx42" id="paren.16"/>. <xref ref-type="bibr" rid="bib1.bibx43" id="text.17"/> and <xref ref-type="bibr" rid="bib1.bibx30" id="text.18"/> postulated a main transcurrent sinistral movement for this segment of the lineament, which could reflect the differential blocks movements both towards the north and the south.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e345"><bold>(a)</bold> Location map in context of the geological provinces: SFTB: sub-Andean fold-and-trust belt, AP: Altiplano-Puna, EC: Eastern Cordillera, SBS: Santa Bárbara System and SP: Sierras Pampeanas <xref ref-type="bibr" rid="bib1.bibx33" id="paren.19"><named-content content-type="pre">modified after</named-content></xref> <bold>(b)</bold> Lerma Valley, and surrounding valleys with lithologies and reverse faults <xref ref-type="bibr" rid="bib1.bibx70" id="text.20"/>. <bold>(c)</bold> LeVaRIS catalog <xref ref-type="bibr" rid="bib1.bibx15" id="paren.21"/> discriminated by depth (in color) and magnitude (area), with focal mechanisms solutions provided by <xref ref-type="bibr" rid="bib1.bibx69" id="text.22"/>. The light blue stripped line marks the COT (Calama-Olacapato-Toro) lineament <xref ref-type="bibr" rid="bib1.bibx65" id="paren.23"/>.</p></caption>
        <graphic xlink:href="https://se.copernicus.org/articles/17/711/2026/se-17-711-2026-f01.jpg"/>

      </fig>

      <p id="d2e380">The stratigraphic succession that crops out along the valley and into the bounding ranges is composed of: <list list-type="order"><list-item>
      <p id="d2e385">Neoproterozoic-Lower Cambrian metasediments of <italic>Puncosviscana Formation</italic> <xref ref-type="bibr" rid="bib1.bibx76" id="paren.24"/></p></list-item><list-item>
      <p id="d2e394">Cambro-Ordovician quartzites, marine shales and sandstones from the <italic>Mesón</italic> and <italic>Santa Victoria</italic> Groups <xref ref-type="bibr" rid="bib1.bibx74" id="paren.25"/></p></list-item><list-item>
      <p id="d2e406">Cretaceous-Paleogene rift deposits of <italic>Salta</italic> Group mainly composed of mudstones, sandstones and carbonates <xref ref-type="bibr" rid="bib1.bibx47" id="paren.26"/></p></list-item><list-item>
      <p id="d2e415">Miocene-Pleistocene continental sequences from <italic>Orán</italic> Group that includes conglomerates and sandstones <xref ref-type="bibr" rid="bib1.bibx64" id="paren.27"/></p></list-item><list-item>
      <p id="d2e424">Quaternary fill of the valley was separated into three main units, the <italic>Calvimonte</italic>, <italic>Tajamar</italic> and <italic>La Viña</italic> Formations <xref ref-type="bibr" rid="bib1.bibx23" id="paren.28"/> formed by fluvial-alluvial and lacustrine deposits.</p></list-item></list></p>
      <p id="d2e440">A comprehensive review of the stratigraphy of the Lerma Valley can be found in <xref ref-type="bibr" rid="bib1.bibx24" id="text.29"/>.</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Data and Methods</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Deployment of the seismic network</title>
      <p id="d2e461">In August 2017, a temporary seismic network, composed of thirteen seismic stations, the Lerma Valley Ring Installation of Seismometers <xref ref-type="bibr" rid="bib1.bibx15" id="paren.30"><named-content content-type="pre">LEVARIS,</named-content></xref> was installed in the studied area. The network spanned the central and northern regions of the valley (<inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.558</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.272</mml:mn><mml:mo>;</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">65.623</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">65.318</mml:mn></mml:mrow></mml:math></inline-formula>) and operated for a total of thirteen months. Prior to this deployment, there was only one permanent short-period station within the valley, managed by Argentine agency INPRES <xref ref-type="bibr" rid="bib1.bibx32" id="paren.31"><named-content content-type="pre">code SLA,</named-content></xref>.The dimensions of our temporary network spanned approximately 80 km in the north–south direction and 30 km in the east–west direction, with seismic stations strategically located to ensure safety, accessibility, and minimal interference from anthropogenic noise sources. The seismic stations were equipped with a DATA-Cube3 type digitizer paired with a Lennartz 3D/5s sensor. One of the installations (2Q.09A in Fig. <xref ref-type="fig" rid="F1"/>) used a Mark L-4C-3D short-term seismic sensor. In all cases, instruments were buried at an approximate depth of 60 cm. The Data-Cube3 digitizers were set to a sampling rate of 100 Hz, and the seismic stations were powered by batteries connected to solar panels.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e507">Location of the seismic stations of the LEVARIS temporary network, with their approximate recording time in days.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Network</oasis:entry>
         <oasis:entry colname="col2">Code</oasis:entry>
         <oasis:entry colname="col3">Location</oasis:entry>
         <oasis:entry colname="col4">Latitude [°]</oasis:entry>
         <oasis:entry colname="col5">Longitude [°]</oasis:entry>
         <oasis:entry colname="col6">Elevation [m]</oasis:entry>
         <oasis:entry colname="col7">Recording time [days]</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">2Q</oasis:entry>
         <oasis:entry colname="col2">01A</oasis:entry>
         <oasis:entry colname="col3">Campo Alegre</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.56889</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">65.37404</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">1460</oasis:entry>
         <oasis:entry colname="col7">397</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">02A</oasis:entry>
         <oasis:entry colname="col3">Gallinato</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.67945</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">65.35223</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">1304</oasis:entry>
         <oasis:entry colname="col7">217</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">03A</oasis:entry>
         <oasis:entry colname="col3">Cerron San Bernardo</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.79603</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">65.37949</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">1222</oasis:entry>
         <oasis:entry colname="col7">197</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">04A</oasis:entry>
         <oasis:entry colname="col3">La Quesera</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.89281</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">65.32248</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">1445</oasis:entry>
         <oasis:entry colname="col7">396</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">05A</oasis:entry>
         <oasis:entry colname="col3">Ceibalito</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.97199</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">65.37888</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">1146</oasis:entry>
         <oasis:entry colname="col7">395</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">06A-B</oasis:entry>
         <oasis:entry colname="col3">Cerrillos</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.90947</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">65.45905</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">1220</oasis:entry>
         <oasis:entry colname="col7">396</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">07A</oasis:entry>
         <oasis:entry colname="col3">Calvimonte</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.11671</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">65.43352</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">1122</oasis:entry>
         <oasis:entry colname="col7">398</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">08A</oasis:entry>
         <oasis:entry colname="col3">Potrero de Díaz</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.27033</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">65.5453</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">1263</oasis:entry>
         <oasis:entry colname="col7">398</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">09A</oasis:entry>
         <oasis:entry colname="col3">Chicoana</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.11049</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">65.53912</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">1270</oasis:entry>
         <oasis:entry colname="col7">394</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">10A</oasis:entry>
         <oasis:entry colname="col3">Corralito</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.03078</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">65.60371</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">1359</oasis:entry>
         <oasis:entry colname="col7">397</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">11A</oasis:entry>
         <oasis:entry colname="col3">La Silleta</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.86299</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">65.59959</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">1440</oasis:entry>
         <oasis:entry colname="col7">393</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">12A-B</oasis:entry>
         <oasis:entry colname="col3">Potrero de Uriburu</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.75678</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">65.61088</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">1653</oasis:entry>
         <oasis:entry colname="col7">190</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">12C</oasis:entry>
         <oasis:entry colname="col3">Potrero de Uriburu</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.755603</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">65.610981</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">1732</oasis:entry>
         <oasis:entry colname="col7">200</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Methods</title>
      <p id="d2e1092">In order to study the various discontinuities of the crust below the grater Lerma Valley and to derive local velocity models, we employed three methods: receiver functions analysis (teleseismic and local), ambient noise cross-correlation tomography, and joint inversions (forward modeling). The first two methods involved processing the raw data from the LEVARIS network <xref ref-type="bibr" rid="bib1.bibx15" id="paren.32"><named-content content-type="pre">see Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>,</named-content></xref> to produce receiver functions and dispersion curves. Then latter results were combined to be inverted using forward modeling and fitting the data to the S-wave velocity model, thus obtaining a representative crustal model. In the following sections we present and briefly describe each method and also provide a complete description of the parameters used in the data processing.</p>
<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><title>Teleseismic Receiver Functions (RFs)</title>
      <p id="d2e1109">As seismic waves from distant earthquakes (teleseisms, from 30–90° distance) travel through the Earth's interior, they can undergo reflections and P-to-S conversions at interfaces, such as the crust-mantle boundary (the Moho). Receiver function (RF) analysis enables the detection of these converted phases, providing insights into the subsurface structure beneath the region covered by a seismic station.</p>
      <p id="d2e1112">The “RFs” method, originally developed for teleseismic analysis <xref ref-type="bibr" rid="bib1.bibx37 bib1.bibx79 bib1.bibx12" id="paren.33"/>, involves the deconvolution of the vertical component from the horizontal components of a rotated seismogram to isolate the Earth's impulse response <xref ref-type="bibr" rid="bib1.bibx40" id="paren.34"/> beneath the seismic station. This procedure suppresses the effects of the source-time function and distant propagation path, highlighting converted arrivals such as the Ps phases. Arrival times of these converted phases can be associated with structural discontinuities, provided that a reference velocity model is available.</p>
      <p id="d2e1121">To improve spatial resolution and imaging of discontinuities such as the Moho, Common Conversion Point (CCP) stacking is employed. CCP stacking allows a pseudo-migration of RFs from the time domain to depth by tracing converted phases back into the Earth along theoretical ray paths using a local velocity model. This approach helps account for lateral heterogeneity and enhances structural imaging, particularly when focusing on strong, isolated phases like Ps, which are typically more prominent and interpretable than crustal multiples <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx3" id="paren.35"/>.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><title>Local Receiver Functions</title>
      <p id="d2e1135">Local deep earthquakes provide a complementary and, in several respects, more diagnostic source for receiver function (RF) analysis than teleseismic events. Their shorter source durations and enriched high-frequency content result in shorter dominant wavelengths, which enhance sensitivity not only to sharp velocity contrasts but also to strong impedance variations associated with highly fractured or damaged zones within rocks of otherwise similar bulk composition <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx11 bib1.bibx63" id="paren.36"/>. Such zones may produce coherent converted phases or scattered energy that are strongly attenuated or entirely smeared out in lower-frequency teleseismic RFs.</p>
      <p id="d2e1141">This sensitivity to fine-scale heterogeneity makes local RFs particularly effective for imaging tectonically damaged crust, shear zones, and transitional boundaries where fracturing and fluid content, rather than major lithological changes, dominate seismic contrasts <xref ref-type="bibr" rid="bib1.bibx27" id="paren.37"/>. In addition, the steep incidence angles of waves generated by deep local earthquakes reduce lateral averaging of converted phases, further improving the resolution of subhorizontal discontinuities such as the Moho and intracrustal interfaces.</p>
      <p id="d2e1147">In the study region, the application of local RFs is especially advantageous because deep seismicity is concentrated within the Jujuy cluster, with hypocentral depths of approximately 200 km (blue dots in Fig. <xref ref-type="fig" rid="F2"/>) <xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx77" id="paren.38"/>. This source geometry provides dense and narrowly focused sampling of the crust beneath the LEVARIS stations, despite the limited lateral extent of the earthquake cluster. As a result, local RFs offer high-resolution constraints on crustal thickness and internal structure, including the Moho, which lies at depths of 40–50 km in this region <xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx86" id="paren.39"/>, and supply an independent test of interpretations derived from teleseismic RFs.</p>

      <fig id="F2"><label>Figure 2</label><caption><p id="d2e1161">Events distributions for teleseismic (<bold>a</bold>, red) and local (<bold>b</bold>, green) events used for the receiver functions in an equidistant plot.</p></caption>
            <graphic xlink:href="https://se.copernicus.org/articles/17/711/2026/se-17-711-2026-f02.png"/>

          </fig>

      <p id="d2e1176">Local deep earthquakes (<inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub><mml:mo>∈</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>, depth <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">200</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) were analyzed using the same general workflow, with the main difference being the event catalog, which was constructed specifically for this study based on the LEVARIS network <xref ref-type="bibr" rid="bib1.bibx15" id="paren.40"/>.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <label>3.2.3</label><title>Teleseismic and Local RF Parameters Setting</title>
      <p id="d2e1227">For both teleseismic and local events, we applied a bandpass filter from 0.01–2.0 Hz to isolate the relevant frequency band. To ensure data quality, we extracted 300 s noise windows ending 10 s prior to the P-wave arrival and computed the RMS of both noise and signal windows, discarding traces where the RMS ratio was below 1.5. Deconvolution was performed using the water-level method <xref ref-type="bibr" rid="bib1.bibx37" id="paren.41"><named-content content-type="pre">e.g.,</named-content></xref>, with a Gaussian filter width of <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mi>a</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> and a water-level parameter of <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mi>c</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula>. A subsequent manual inspection step was used to remove traces with excessive noise or anomalous amplitudes. The resulting quality-controlled receiver functions were used to identify P-to-S converted phases and to estimate crustal properties, including Moho depth and <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratio, via the <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>-</mml:mo><mml:mi>k</mml:mi></mml:mrow></mml:math></inline-formula> stacking technique <xref ref-type="bibr" rid="bib1.bibx88" id="paren.42"/>.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS4">
  <label>3.2.4</label><title><inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>-</mml:mo><mml:mi>k</mml:mi></mml:mrow></mml:math></inline-formula> Analysis</title>
      <p id="d2e1314">The <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>-</mml:mo><mml:mi>k</mml:mi></mml:mrow></mml:math></inline-formula> stacking method, introduced by <xref ref-type="bibr" rid="bib1.bibx88" id="text.43"/>, is a widely used technique for estimating crustal thickness (<inline-formula><mml:math id="M43" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula>) and the <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratio (<inline-formula><mml:math id="M45" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>) by analyzing teleseismic receiver functions. The method relies on identifying the arrival times of converted and multiple seismic phases, such as Ps, PsPs, and PpSs. When appropriate values of <inline-formula><mml:math id="M46" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M47" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> are found, the sum of the amplitudes of the receiver functions at the corresponding travel-times interfere constructively, allowing the determination of crustal discontinuities by locating maxima in the stacking function.</p>
      <p id="d2e1379">In our implementation, we assumed a fixed P-wave velocity of 6 <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (average of the crust). The analysis was performed on a grid with 2 km increments in depth (<inline-formula><mml:math id="M49" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula>) and 0.05 increments in the <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratio (<inline-formula><mml:math id="M51" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>). The bounds of the grid search were set from 0–70 km for H and from 1.6–2.5 for <inline-formula><mml:math id="M52" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>. These parameter ranges and step sizes were selected to ensure adequate resolution while maintaining computational efficiency. We estimated the uncertainties in the parameters <inline-formula><mml:math id="M53" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M54" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> following the method of <xref ref-type="bibr" rid="bib1.bibx20" id="text.44"/>, who proposed defining a contour line at one standard error below the maximum stack amplitude. The standard error is given by <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>/</mml:mo><mml:mi>N</mml:mi><mml:msup><mml:mo>)</mml:mo><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> is the variance and <inline-formula><mml:math id="M57" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> is the number of stacked receiver functions. This method implies that confidence in the estimated parameters increases with the number of receiver functions included in the stack.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS5">
  <label>3.2.5</label><title>Estimation and Adjustment of Effective <inline-formula><mml:math id="M58" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> Values</title>
      <p id="d2e1517">The <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>-</mml:mo><mml:mi>k</mml:mi></mml:mrow></mml:math></inline-formula> technique yields only an average <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratio (<inline-formula><mml:math id="M61" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>) above a given discontinuity. To capture its depth dependence, we compute an effective <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>eff</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>H</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> using a 1D velocity model with depth-varying <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, defined as the ratio of their travel-time integrals down to depth <inline-formula><mml:math id="M65" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula>:

              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M66" display="block"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>eff</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>H</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∫</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mi>H</mml:mi></mml:msubsup><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">d</mml:mi><mml:mi>z</mml:mi></mml:mrow><mml:mrow><mml:msubsup><mml:mo>∫</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mi>H</mml:mi></mml:msubsup><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">d</mml:mi><mml:mi>z</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace width="0.33em" linebreak="nobreak"/><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

            Uncertainties are estimated by propagating bounds on <inline-formula><mml:math id="M67" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula>:

              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M68" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mo>|</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mtext>eff</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>H</mml:mi><mml:mtext>max</mml:mtext></mml:msub><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mtext>eff</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>H</mml:mi><mml:mtext>min</mml:mtext></mml:msub><mml:mo>)</mml:mo><mml:mo>|</mml:mo><mml:mspace linebreak="nobreak" width="0.33em"/><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

            This formulation provides a physically consistent comparison with measured <inline-formula><mml:math id="M69" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>, which assumes constant velocities. The measured <inline-formula><mml:math id="M70" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> can be interpreted as a velocity–thickness weighted average of individual layer contributions. For a stack of <inline-formula><mml:math id="M71" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> layers with thickness <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, P-wave velocity <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, and ratio <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, the effective value is

              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M75" display="block"><mml:mrow><mml:msubsup><mml:mi>k</mml:mi><mml:mtext>meas</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>H</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>H</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace linebreak="nobreak" width="0.33em"/><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

            This relation allows reconstruction of depth-dependent <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values through a bottom-up recursive scheme using known <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, an assumed average <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mo>〈</mml:mo><mml:mi>k</mml:mi><mml:mo>〉</mml:mo></mml:mrow></mml:math></inline-formula> at the Moho, and layer thicknesses. However, the method assumes vertical incidence of seismic waves; deviations (e.g., <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">15</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula>) introduce systematic bias due to longer ray paths. For typical crustal velocities, this may lead to an overestimation of <inline-formula><mml:math id="M80" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> of about 5 %, highlighting the need to account for incidence angle effects when interpreting results.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS6">
  <label>3.2.6</label><title>Ambient Noise Tomography (ANT)</title>
      <p id="d2e1969">To estimate empirical Green's functions between receiver pairs within the LEVARIS network, we applied ambient noise cross-correlation techniques to continuous seismic data (Table <xref ref-type="table" rid="T1"/>). The available recordings were segmented into two-hour windows, detrended, cosine-tapered (5 %), and corrected for instrument response. Cross-correlations were then computed by spectral multiplication in the frequency domain, following the method of <xref ref-type="bibr" rid="bib1.bibx21" id="paren.45"/>:

              <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M81" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ω</mml:mi><mml:mo>)</mml:mo><mml:msup><mml:mi>u</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msup><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ω</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msqrt><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ω</mml:mi><mml:mo>)</mml:mo><mml:msup><mml:mi>u</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msup><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ω</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msqrt><mml:msqrt><mml:mrow><mml:msup><mml:mi>u</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msup><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ω</mml:mi><mml:mo>)</mml:mo><mml:msubsup><mml:mi>u</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow><mml:mo>*</mml:mo></mml:msubsup><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ω</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msqrt></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace width="0.33em" linebreak="nobreak"/><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the cross-correlation for stations <inline-formula><mml:math id="M83" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M84" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> in time window <inline-formula><mml:math id="M85" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M86" display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula> represents the Fourier-transformed time series, and <sup>*</sup> denotes complex conjugation. The resulting cross-correlograms were stacked across the entire deployment period, and a time-scale phase-weighting scheme <xref ref-type="bibr" rid="bib1.bibx78" id="paren.46"/> was applied to enhance signal-to-noise ratios prior to further analysis.</p>
      <p id="d2e2149">The ambient noise dataset from the LEVARIS network was organized using the Pyrocko-based “jackseis” tool <xref ref-type="bibr" rid="bib1.bibx28" id="paren.47"/>, with daily MiniSEED files sorted by component and stored in annual station-specific folders using Julian day naming conventions. Cross-correlations were computed as described above for all possible vertical-component station pairs using 1 h windows with 50 % overlap, and were then stacked over the entire deployment period to improve coherence. Dispersion measurements were obtained using time-frequency analysis to pick group velocities, following the method of <xref ref-type="bibr" rid="bib1.bibx7" id="text.48"/>, and phase velocities were estimated by numerical integration. To address the <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">π</mml:mi><mml:mi>N</mml:mi></mml:mrow></mml:math></inline-formula> ambiguity in phase velocity curves, we selected the curve that remained closest to the corresponding group velocity without being slower, as recommended by <xref ref-type="bibr" rid="bib1.bibx7" id="text.49"/>.</p>
      <p id="d2e2173">Subsequently, the derived dispersion curves were used to produce surface wave tomographic maps based on the method of <xref ref-type="bibr" rid="bib1.bibx4" id="text.50"/>, which assumes surface waves propagate along great-circle paths between stations. The tomographic inversion was conducted in two stages. In the first inversion, strong regularization parameters were applied (<inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">400</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) to generate oversmoothed velocity maps for quality control, following procedures outlined in <xref ref-type="bibr" rid="bib1.bibx4" id="text.51"/>. Measurements that deviated by more than two standard deviations from the mean phase or group velocity were flagged and removed. A second inversion was then performed using the same regularization parameters to produce the final phase velocity maps. The regularization involved a balance between smoothing and fidelity to the data, and parameter values were chosen through trial-and-error <xref ref-type="bibr" rid="bib1.bibx4" id="paren.52"/>, with visual inspections confirming that small perturbations in the chosen parameters did not significantly affect the resulting maps.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS7">
  <label>3.2.7</label><title>Joint Inversion of RFs and Phase Velocity Dispersion Curves using Hamiltonian Monte Carlo (JIHMC)</title>
      <p id="d2e2234">The Hamiltonian Monte Carlo (HMC) inversion method <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx8" id="paren.53"/> provides a robust framework for exploring complex posterior distributions by leveraging an energy-based sampling approach that minimizes the misfit between observed and synthetic data. This technique is particularly well-suited for seismic inversion problems due to its ability to efficiently explore high-dimensional parameter spaces with strong correlations.</p>
      <p id="d2e2240">For our local model inversion, we adopted a modified version of the velocity structure proposed by <xref ref-type="bibr" rid="bib1.bibx86" id="text.54"/> as a baseline (Table <xref ref-type="table" rid="T2"/>). Although alternative velocity models were considered, including a preliminary 1D velocity model derived from a VELEST inversion of local events, these alternatives proved unstable and were ultimately not used.</p>

<table-wrap id="T2"><label>Table 2</label><caption><p id="d2e2251">Modified velocity model derived from <xref ref-type="bibr" rid="bib1.bibx86" id="text.55"/>, with the second layer subdivided into two layers of 1 and 3.5 km thickness, showing depth, P- and S-velocities, and <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratios.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Depth [km]</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> [km/s]</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> [km/s]</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">0</oasis:entry>
         <oasis:entry colname="col2">2.90</oasis:entry>
         <oasis:entry colname="col3">1.75</oasis:entry>
         <oasis:entry colname="col4">1.70</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1</oasis:entry>
         <oasis:entry colname="col2">4.16</oasis:entry>
         <oasis:entry colname="col3">2.83</oasis:entry>
         <oasis:entry colname="col4">1.45</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3.5</oasis:entry>
         <oasis:entry colname="col2">5.71</oasis:entry>
         <oasis:entry colname="col3">2.83</oasis:entry>
         <oasis:entry colname="col4">2.02</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">8.5</oasis:entry>
         <oasis:entry colname="col2">5.81</oasis:entry>
         <oasis:entry colname="col3">3.30</oasis:entry>
         <oasis:entry colname="col4">1.76</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">36</oasis:entry>
         <oasis:entry colname="col2">6.65</oasis:entry>
         <oasis:entry colname="col3">4.33</oasis:entry>
         <oasis:entry colname="col4">1.54</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">46</oasis:entry>
         <oasis:entry colname="col2">8.04</oasis:entry>
         <oasis:entry colname="col3">4.49</oasis:entry>
         <oasis:entry colname="col4">1.79</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e2438">The joint inversion was carried out using the RfSurfHmc software package <xref ref-type="bibr" rid="bib1.bibx61" id="paren.56"/>, a Python-based framework with C-based computational kernels that implements the HMC approach developed by <xref ref-type="bibr" rid="bib1.bibx9" id="text.57"/> and <xref ref-type="bibr" rid="bib1.bibx9" id="text.58"/>) and later integrated with the EvodCinv platform <xref ref-type="bibr" rid="bib1.bibx41" id="paren.59"/>. The RfSurfHmc <xref ref-type="bibr" rid="bib1.bibx61" id="paren.60"/> tool enabled the simultaneous inversion of teleseismic receiver functions and phase velocity dispersion curves to construct station-specific shear wave velocity profiles.</p>
      <p id="d2e2456">The input data included stacked receiver functions in the time range from 0–10 s and surface wave dispersion curves from 1.7–10 s. Inversions were performed using data from all LEVARIS seismic stations (see Fig. <xref ref-type="fig" rid="F1"/>) to resolve broader basin-scale features. The inversion was run for 200 iterations, with misfit weighting parameters set to <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>rf</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for receiver functions and <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>swd</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for surface wave dispersion curves.</p>
      <p id="d2e2511">The forward modeling step used a Gaussian filter with parameters <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mi>a</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:mi>c</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>, and a time step of <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>. We used a ray parameter of <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.045</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> and explored the depth range from 0–50 km (<inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mi>L</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">50</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>). These parameter values were selected after a series of empirical tests in which each parameter was varied by approximately <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> around the reference configuration. For each tested setup, synthetic receiver functions were computed and compared with the observations. The final parameter set was retained because it consistently led to a better fit to the observed receiver functions than the alternative configurations tested (see Appendix).</p>
</sec>
<sec id="Ch1.S3.SS2.SSS8">
  <label>3.2.8</label><title>Inversion of Surface Wave Phase Velocity Dispersion Curves with Evolutionary Algorithm (IEA)</title>
      <p id="d2e2614">Evolutionary algorithms (EAs) are optimization techniques inspired by the principles of natural selection and genetics. These methods are particularly well suited for exploring large, complex solution spaces where conventional optimization strategies may struggle due to non-linearity, high dimensionality, or multimodal objective functions <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx18" id="paren.61"/>. EAs have seen widespread application in various fields such as machine learning, computational biology, and geophysical inversion <xref ref-type="bibr" rid="bib1.bibx66" id="paren.62"/>, offering a flexible and robust approach to finding globally optimal solutions <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx18" id="paren.63"/>.</p>
      <p id="d2e2626">In this study, we employed an evolutionary algorithm to invert surface wave phase velocity dispersion curves, following the approach described by <xref ref-type="bibr" rid="bib1.bibx41" id="text.64"/>. This method was particularly effective in enhancing resolution in the upper five kilometers of the crust, where conventional methods often lack sensitivity.</p>
      <p id="d2e2632">The inversion was carried out on phase velocity dispersion curves measured over periods ranging from 1.7–9.9 s. The evolutionary algorithm was initialized with a population size of 20 and a random seed set to zero to ensure reproducibility. The optimization process was iterated for a total of 200 generations. These settings were chosen based on prior benchmarking <xref ref-type="bibr" rid="bib1.bibx41" id="paren.65"/> to ensure a balance between computational efficiency and solution robustness.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Results</title>
      <p id="d2e2648">In this section and the sections that follow, we present the results of our multi-methodic analysis of the Lerma Valley. In order to provide further support for these features, we have included a supplementary material that accounts for RFs, <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>-</mml:mo><mml:mi>k</mml:mi></mml:mrow></mml:math></inline-formula> analysis, ANT (path maps), and joint inversion.</p>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title><inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>-</mml:mo><mml:mi>k</mml:mi></mml:mrow></mml:math></inline-formula> Analysis</title>
      <p id="d2e2682">The solution obtained from the <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>-</mml:mo><mml:mi>k</mml:mi></mml:mrow></mml:math></inline-formula> analysis showed to be stable and constrained in depth for both teleseismic and local receiver functions station stacks, which resulted in good results, for the deepest discontinuities at <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">53</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">43</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">36</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>. However, the <inline-formula><mml:math id="M109" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> values fluctuated considerably for the local receiver functions for the layers above the shallower <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> discontinuities. In Fig. <xref ref-type="fig" rid="F3"/> we present the results for the Moho defined from the teleseismic receiver functions for stations <italic>01A</italic> and <italic>05A</italic>. These two stations were selected because they show representative results, however the results for the other seismic stations are available in pickle format.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e2779">Sample <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>-</mml:mo><mml:mi>k</mml:mi></mml:mrow></mml:math></inline-formula> stacking results for stations <italic>01A</italic> and <italic>05A</italic>. The white lines indicate the position of the maximum value.</p></caption>
          <graphic xlink:href="https://se.copernicus.org/articles/17/711/2026/se-17-711-2026-f03.png"/>

        </fig>

      <p id="d2e2806">We see in Fig. <xref ref-type="fig" rid="F3"/> that the depth of the Moho discontinuity and the <inline-formula><mml:math id="M113" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> parameters are well constrained. The <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratio is the one expected for the Moho's region, being <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.75</mml:mn></mml:mrow></mml:math></inline-formula>. For receiver functions calculated from local events the estimated Moho depths for the seismic stations shown in Fig. <xref ref-type="fig" rid="F3"/> are similar but the average <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratios are slightly lower (see Table <xref ref-type="table" rid="T3"/>).</p>

<table-wrap id="T3" specific-use="star"><label>Table 3</label><caption><p id="d2e2873">Corrected <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratios at each depth and station for teleseismic and local receiver functions, with depths <inline-formula><mml:math id="M118" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> and measured <inline-formula><mml:math id="M119" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> and their related error. <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratio of <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula> used at the Moho.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Station</oasis:entry>
         <oasis:entry colname="col2">Events</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>∈</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>H</mml:mi><mml:mtext>min</mml:mtext></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>H</mml:mi><mml:mtext>max</mml:mtext></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>  [km]</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>meas</mml:mtext></mml:msub><mml:mo>∈</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mtext>min</mml:mtext></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mtext>max</mml:mtext></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>corr</mml:mtext></mml:msub><mml:mo>±</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>k</mml:mi><mml:mtext>corr</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Teleseismic RFs:</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">01A</oasis:entry>
         <oasis:entry colname="col2">32</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.00</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.47</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mn mathvariant="normal">47.5</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">46.9</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">47.9</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.75</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">02A</oasis:entry>
         <oasis:entry colname="col2">14</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.2</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">6.9</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">9.1</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mn mathvariant="normal">31.5</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">28.5</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">38.1</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.70</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mn mathvariant="normal">31.8</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">31.3</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">31.9</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.69</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.69</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mn mathvariant="normal">48.1</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">47.3</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">53.1</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">03A</oasis:entry>
         <oasis:entry colname="col2">24</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.80</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.56</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:mn mathvariant="normal">27.3</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">26.8</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">27.7</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.68</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.68</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.67</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mn mathvariant="normal">45.6</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">45.4</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">45.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.80</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.79</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">04A</oasis:entry>
         <oasis:entry colname="col2">20</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.6</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">3.4</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">3.9</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.49</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:mn mathvariant="normal">31.5</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">30.3</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">32.7</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.70</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.69</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mn mathvariant="normal">42.4</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">41.8</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">43.2</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.73</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">05A</oasis:entry>
         <oasis:entry colname="col2">25</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.75</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.57</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.44</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mn mathvariant="normal">27.7</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">27.3</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">28.6</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.75</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.57</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:mn mathvariant="normal">46.3</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">45.7</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">46.7</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.71</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.71</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.74</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">06A</oasis:entry>
         <oasis:entry colname="col2">7</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.4</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">9.2</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">9.9</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.75</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.57</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:mn mathvariant="normal">29.8</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">29.5</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">30.1</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.63</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.63</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.65</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.57</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:mn mathvariant="normal">44.6</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">44.3</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">44.9</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.76</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.76</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.78</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">07A</oasis:entry>
         <oasis:entry colname="col2">3</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.1</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">3.6</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.80</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.41</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mn mathvariant="normal">52.6</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">52.3</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">52.9</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.80</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.81</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">08A</oasis:entry>
         <oasis:entry colname="col2">2</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.1</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">8</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">8.6</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.65</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:mn mathvariant="normal">30.3</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">28.3</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">32.5</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.71</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:mn mathvariant="normal">49.0</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">48.5</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">49.6</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.78</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.76</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.78</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">09A</oasis:entry>
         <oasis:entry colname="col2">35</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.9</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.80</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.55</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.1</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">5.7</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">6.5</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.76</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.31</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:mn mathvariant="normal">26.4</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">26.1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">26.5</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">10A</oasis:entry>
         <oasis:entry colname="col2">19</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.5</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">7.9</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">8.9</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.70</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mn mathvariant="normal">27.6</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">27.1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">28</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.63</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.60</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mn mathvariant="normal">43.1</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">42</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">43.5</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.78</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.78</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">11A</oasis:entry>
         <oasis:entry colname="col2">7</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.80</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.59</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:mn mathvariant="normal">35.0</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">34.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">35.4</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.79</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.79</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.81</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.79</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">8</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:mn mathvariant="normal">47.0</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">45.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">48.3</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.75</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Local RFs:</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">01A</oasis:entry>
         <oasis:entry colname="col2">65</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:mn mathvariant="normal">27.2</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">27</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">27.4</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.80</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.79</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:mn mathvariant="normal">49.0</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">48.1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">49.9</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.60</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">02A</oasis:entry>
         <oasis:entry colname="col2">21</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:mn mathvariant="normal">24.9</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">24.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">25.1</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.50</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.51</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:mn mathvariant="normal">43.8</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">43.8</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">43.9</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.60</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.59</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">03A</oasis:entry>
         <oasis:entry colname="col2">51</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.40</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.73</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mn mathvariant="normal">31.3</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">31.1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">31.6</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.70</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.73</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:mn mathvariant="normal">43.0</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">42.2</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">43.3</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.80</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">04A</oasis:entry>
         <oasis:entry colname="col2">41</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.6</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.90</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.9</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.48</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:mn mathvariant="normal">22.5</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">22.3</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">22.5</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.70</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.69</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">05A</oasis:entry>
         <oasis:entry colname="col2">62</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:mn mathvariant="normal">29.5</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">29</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">29.7</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.60</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:mn mathvariant="normal">49.3</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">48.7</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">50.1</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.70</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">06A</oasis:entry>
         <oasis:entry colname="col2">24</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:mn mathvariant="normal">38.9</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">37.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">40.3</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.60</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">07A</oasis:entry>
         <oasis:entry colname="col2">8</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.8</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">3.8</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">4.4</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.70</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.39</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:mn mathvariant="normal">39.9</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">39.2</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">40.6</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.90</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.9</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">08A</oasis:entry>
         <oasis:entry colname="col2">6</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.50</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.46</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:mn mathvariant="normal">27.6</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">26.7</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">28.3</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.90</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.9</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">09A</oasis:entry>
         <oasis:entry colname="col2">178</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.7</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">13.5</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">13.9</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.80</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:mn mathvariant="normal">46.7</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">46.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">47.2</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.60</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.59</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">10A</oasis:entry>
         <oasis:entry colname="col2">53</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.2</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">12.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">14.7</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.90</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.74</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:mn mathvariant="normal">23.0</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">22.4</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">23.9</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.70</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.74</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:mn mathvariant="normal">29.4</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">27.7</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">30</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.60</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.59</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">11A</oasis:entry>
         <oasis:entry colname="col2">15</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.4</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.50</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.7</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">7.4</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">8.4</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.50</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">2.3</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.11</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:mn mathvariant="normal">15.1</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">14.2</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">15.7</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.70</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.73</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:mn mathvariant="normal">19.2</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">19.1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">19.7</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.60</mml:mn><mml:mo>∼</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1.59</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Receiver Functions</title>
      <p id="d2e6672">Figure <xref ref-type="fig" rid="F4"/> shows the receiver functions for station <italic>01A</italic> for the radial <italic>Q</italic> and transversal <italic>T</italic> components, marking the Moho conversion times for <italic>Ps</italic> on the <italic>Q</italic> component at about <italic>5</italic> seconds. The traces were then stacked using a binning of 15° in backazimuth with an overlap of 5°. In the <italic>T</italic> components there is a clear azimuthal conversion near 200° at 2.5 s, evidently more present in the local RFs.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e6701">Teleseismic and local receiver functions computed for station <italic>01A</italic>. The individual receiver functions are binned in 10° intervals, with an overlap of 5°. The linear stack is represented on top of each panel. The first row shows the radial component, while the bottom row shows the transverse component. The arrows mark a change in the wiggle swing at 200° approx.</p></caption>
          <graphic xlink:href="https://se.copernicus.org/articles/17/711/2026/se-17-711-2026-f04.jpg"/>

        </fig>


<sec id="Ch1.S4.SS2.SSS1">
  <label>4.2.1</label><title>Discontinuities</title>
      <p id="d2e6723">In Table <xref ref-type="table" rid="T3"/> presents a comprehensive overview of all potential discontinuities for each station, spanning the shallow <inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> depth range up to the deeper <inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:mn mathvariant="normal">43</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">53</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> region of the Moho, extracted from the <inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>-</mml:mo><mml:mi>k</mml:mi></mml:mrow></mml:math></inline-formula> analysis of the stacked receiver functions. Specifically, four discontinuities were identified, from the lowest to the greatest depth: 43–53, 30–35, 8–10, and <inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.2</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>. The <inline-formula><mml:math id="M300" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> values were corrected using the velocity model by <xref ref-type="bibr" rid="bib1.bibx86" id="text.66"/>. It is crucial to acknowledge that the majority of these discontinuities are not identifiable simultaneously for all stations. This is only the the case for the Moho Ps conversion which is visible at all stations. The errors for the deeper discontinuities are better constrained than those for the shallower discontinuities, showing values of less than 5 % relative error for both parameters, <inline-formula><mml:math id="M301" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M302" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> (see Fig. <xref ref-type="fig" rid="F5"/>). For the upper discontinuities, within the shallower interval of <inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.2</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, i.e. the upper most layer, the resulting <inline-formula><mml:math id="M304" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>-values were significantly increased in relative error, representing from 50 %–70 % of the measurement.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e6841">Measured and corrected <inline-formula><mml:math id="M305" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> values as a function of depth for local and teleseismic events.</p></caption>
            <graphic xlink:href="https://se.copernicus.org/articles/17/711/2026/se-17-711-2026-f05.png"/>

          </fig>

</sec>
<sec id="Ch1.S4.SS2.SSS2">
  <label>4.2.2</label><title>Corrected <inline-formula><mml:math id="M306" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>-values</title>
      <p id="d2e6873">In Fig. <xref ref-type="fig" rid="F5"/>, we present the results of our recursive correction method, where the vertical variation of the <inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratios can be observed. The corrected <italic>k</italic> values show less scatter than the apparent <inline-formula><mml:math id="M308" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> values and both teleseismic and local event based receiver function sets agree now better. The <italic>k</italic> value is observed to slightly increase from 1.65 up to 2.0, from the Moho to the upper layers, although it is poorly constrained, particularly in the uppermost layer.</p>
</sec>
<sec id="Ch1.S4.SS2.SSS3">
  <label>4.2.3</label><title>CCP results</title>
      <p id="d2e6917">Finally, Common Conversion Point <xref ref-type="bibr" rid="bib1.bibx73" id="paren.67"><named-content content-type="pre">CCP</named-content></xref> results (see Fig. <xref ref-type="fig" rid="F6"/>) clearly reveal four discontinuities, which are listed in Table <xref ref-type="table" rid="T3"/>, appearing as continuous zones. In the north–south profile <inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:mi>A</mml:mi><mml:mo>-</mml:mo><mml:msup><mml:mi>A</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, three of these discontinuities – located at approximately 47, 30, and 10 km depth – are observed in both local and teleseismic RFs, with sharper resolution in the local RFs. Additionally, a discontinuity at around 15 km depth is identified exclusively in the local RFs. In both profiles, the Moho region thickens and dips southward, reaching depths exceeding 50 km.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e6946">Pseudo-migrated sections of teleseismic (Tele.) and local (Local) receiver functions using the CCP stacking technique. The locations of the cross sections are shown in Fig. <xref ref-type="fig" rid="F9"/>.</p></caption>
            <graphic xlink:href="https://se.copernicus.org/articles/17/711/2026/se-17-711-2026-f06.png"/>

          </fig>

      <p id="d2e6957">For the east–west directed profiles <inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:mi>B</mml:mi><mml:mo>-</mml:mo><mml:msup><mml:mi>B</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:mi>C</mml:mi><mml:mo>-</mml:mo><mml:msup><mml:mi>C</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, situated in the south and north respectively (see profiles in Fig. <xref ref-type="fig" rid="F7"/>), the same discontinuities are identified. However, in the northern profile, they appear more diffuse. Notably, the higher frequency content of the local RFs significantly enhances the clarity of structures in the east–west profiles.</p>

      <fig id="F7"><label>Figure 7</label><caption><p id="d2e6995">Acausal and causal parts of the cross-correlation for each station pair in terms of the inter-station distance band-passed with corner frequencies 0.2–0.4 <inline-formula><mml:math id="M312" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
            <graphic xlink:href="https://se.copernicus.org/articles/17/711/2026/se-17-711-2026-f07.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Ambient Noise Cross-correlation</title>
      <p id="d2e7021">Figure <xref ref-type="fig" rid="F7"/> shows the acausal and causal parts of the ambient noise cross-correlation traces in terms of the inter-station distance, where there is a clear one-sided tendency towards positive times. This, in principle will appear to be a contraposition to the homogeneity assumption of the ambient noise wavefield on which ANT is based. However, <xref ref-type="bibr" rid="bib1.bibx57" id="text.68"/> showed that even in this scenario of a dominant noise direction the cross-correlations are not significantly affected (less than 10 %). On the other hand, this also points to clear difference between the northern and southern sectors.</p>
      <p id="d2e7029">A combination of phase and group velocities of Rayleigh waves was obtained from the cross-correlations. The maps, computed for periods of 10 s, showed similar characteristics within the above time span (see Fig. <xref ref-type="fig" rid="F8"/>). However, the quality of the phase velocities proved to be more consistent for shorter periods, particularly between 1.6 and 2.2 <inline-formula><mml:math id="M313" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula>. As a group, the velocities in all cases have an unstable (sharp oscillatory) behavior in the processed periods.</p>
      <p id="d2e7042">For the period of 2 <inline-formula><mml:math id="M314" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> (see Fig. <xref ref-type="fig" rid="F8"/>a and b), a weak zone of relatively slow velocities appears between the area enclosed by the stations 09A-07A-08A and 12A-06A-10A. This zone is only visible in the phase velocity maps. On the other hand, the group velocity shows a zone of relatively high velocity in the line formed by stations 12A-11A-10A and a zone of relatively low velocity in the area bounded by stations 06A-05A-07A-08A-09A. For the period of 3 <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> (see Fig. <xref ref-type="fig" rid="F8"/>c and d), two distinct zones appear in both group and phase velocities: A zone of high relative velocity in the area bounded by stations 01A-02A-04A-05A-06A-03B, which will be called the northern sector, and a zone of relative low velocity between stations 11A-07A-08A-10A, which will be called the southern sector. The maps for the period of 4 <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> (see Fig. <xref ref-type="fig" rid="F8"/>e and f), show for the high velocity zone an increase in contrast and extension in the group velocity map, and a decrease in extension and contrast of the low and high velocity zones in the phase velocity map. Finally, for the period of 5 <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> (see Fig. <xref ref-type="fig" rid="F8"/>g and h), the two zones of high and low velocity, show a decrease in the velocity contrast.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e7089">Group and phase velocity maps as function of period ranging from 2–5 <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> with station locations.</p></caption>
          <graphic xlink:href="https://se.copernicus.org/articles/17/711/2026/se-17-711-2026-f08.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Joint Inversion</title>
      <p id="d2e7115">We observe that the best model derived from the joint inversion of RFs and dispersion curves reproduces the model proposed by <xref ref-type="bibr" rid="bib1.bibx86" id="text.69"/> with the main difference that velocity of the shallowest layer are decreased to lower values and the discontinuities at 35 and 46 <inline-formula><mml:math id="M319" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> change slightly to increased depths.</p>
      <p id="d2e7129">In Fig. <xref ref-type="fig" rid="F9"/>, we present the inversion results for stations 01A, 05A, 07A and 10A. All four stations share similar depth and velocity characteristics, though subtle differences emerge. Notably, the upper layers in the northern region (station 01A) exhibit slightly higher S-wave velocities compared to those in the south, while the lower layers show consistently lower velocities compared to the reference model across all four stations without significant variation.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e7136">Base model <xref ref-type="bibr" rid="bib1.bibx86" id="paren.70"><named-content content-type="post">in red</named-content></xref>, VELEST model (in green) and best model inversion (in blue) for four representative stations; 01A, 05A, 07A and 10A namely.</p></caption>
          <graphic xlink:href="https://se.copernicus.org/articles/17/711/2026/se-17-711-2026-f09.jpg"/>

        </fig>

      <p id="d2e7151">The receiver function fits are reliable for the selected stations, with station 05A displaying the best fit. At this station, the model closely follows the observed data, capturing not only the shape but also the amplitude of all maxima and minima.</p>
      <p id="d2e7154">Moreover, the results from the evolutionary algorithm inversion (see Fig. <xref ref-type="fig" rid="F9"/>) align well with those from the joint inversion in the middle of the upper layers, between 3 and 5 <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> depth. A primary distinction is the presence of a low-velocity layer with shear wave velocities between 0.7 <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and 1 <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, that varies in thickness, from 0.7–1 <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, being thicker for station 10A (see Fig. <xref ref-type="fig" rid="F9"/>).</p>
      <p id="d2e7212">The combined velocity model for all stations comprises five distinct layers: an upper sediment layer (0.8 <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> thick), below it a consolidated sediment layer (3.7 <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> thick), followed by a lower consolidated sediment layer (2 <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> thick), then an upper crustal layer (32 <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> thick), and finally a lower crustal layer (10 <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> thick). The Moho is located at a depth of 48–49 <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Discussion</title>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Moho Depth and Crustal Composition</title>
      <p id="d2e7282">The results presented in the previous section (see Sect. <xref ref-type="sec" rid="Ch1.S4"/>) highlight the complexity of the crustal structure in the Lerma Valley on multiple levels. In this trend, the discontinuities identified through the <inline-formula><mml:math id="M330" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>-</mml:mo><mml:mi>k</mml:mi></mml:mrow></mml:math></inline-formula> analysis of the receiver functions (both teleseismic and local) align well with previously proposed regional crustal models, e.g. by <xref ref-type="bibr" rid="bib1.bibx13" id="text.71"/>. Specifically, regarding the depth of the Moho, all stations showed constrained and stable solutions at <inline-formula><mml:math id="M331" display="inline"><mml:mrow><mml:mn mathvariant="normal">48</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, a feature that aligns closely with the findings of <xref ref-type="bibr" rid="bib1.bibx86" id="text.72"/>, who positioned the Moho depth at 46 <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> in the Santa Bárbara system. Similarly, the corrected <inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratios remained in the range of 1.5–1.8, with a mean value of 1.65. This value also agrees with the results of <xref ref-type="bibr" rid="bib1.bibx86" id="text.73"/>, who attributed this ratio to a dry felsic composition in the lower crust. However, this low <inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratio is stable also for the upper discontinuities in the teleseismic receiver function results, as teleseismic signals, due to their long-period frequency, are less sensitive to minor changes in layer velocities. In contrast, local receiver functions reveal a gradual increase in the <inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratio from 1.64–2.0, spanning from the Moho upward. This behavior is also present in <xref ref-type="bibr" rid="bib1.bibx86" id="text.74"/>, where a <inline-formula><mml:math id="M336" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratio of about 2 is measured for the second layer.</p>
</sec>
<sec id="Ch1.S5.SS2">
  <label>5.2</label><title>Moho Geometry and Azimuthal Variations</title>
      <p id="d2e7417">In addition to the dry felsic layer identified above the Moho region, expressed by the low <inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratio of about 1.65, there is a shift in azimuth in the <italic>T</italic> components of the receiver functions indicates a dip along the north–south axis, centered around 200°. As shown in Fig. <xref ref-type="fig" rid="F2"/> for both local and teleseismic data, this feature suggests a gradual change in the Moho surface. Similar observations have been reported in New Zealand <xref ref-type="bibr" rid="bib1.bibx67" id="text.75"/>, where azimuthal analysis of receiver functions revealed Moho dips associated with variations in the geometry of the subducting plate.</p>
</sec>
<sec id="Ch1.S5.SS3">
  <label>5.3</label><title>Middle Crust Discontinuities</title>
      <p id="d2e7454">Moving to the middle crust discontinuities, the one at an average depth of 30 <inline-formula><mml:math id="M338" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> appears well defined in teleseismic receiver functions but more dispersed in local receiver functions, likely represents the mid-lower crustal boundary. This finding is consistent with the velocity model of <xref ref-type="bibr" rid="bib1.bibx86" id="text.76"/>. Further, a discontinuity at 15 <inline-formula><mml:math id="M339" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> depth, exclusive to local receiver functions, likely marks an upper detachment horizon with an extensive fracture network occupying the middle crust. Notably, similar features have been proposed on different scales by <xref ref-type="bibr" rid="bib1.bibx25" id="text.77"/>, <xref ref-type="bibr" rid="bib1.bibx35" id="text.78"/>, and <xref ref-type="bibr" rid="bib1.bibx56" id="text.79"/>. This distinction by the local receiver functions is due to the high-frequency content in the spectra of Zapla cluster events <xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx77" id="paren.80"/>.</p>
</sec>
<sec id="Ch1.S5.SS4">
  <label>5.4</label><title>Upper Crust Structure and Sedimentary Layers</title>
      <p id="d2e7497">Within the upper crust, a discontinuity at approximately 8 km depth is clearly imaged in the teleseismic receiver functions and at one station in the local dataset, whereas shallower interfaces between 5 and 1 km depth are consistently observed in both RF types. The deeper of these features likely reflects a first-order rheological contrast within the upper crust, which is preferentially resolved by long-period signals and may correspond to the transition from consolidated basement to overlying sedimentary sequences. Comparable depths for the sediment–basement transition (6–10 km) have been reported in seismic reflection and refraction studies across the Eastern Cordillera and adjacent foreland basins <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx17" id="paren.81"/>.</p>
      <p id="d2e7503">In contrast, the shallower discontinuities are interpreted as marking the structural basement of the basin, represented by the Puncoviscana Formation (see Sect. <xref ref-type="sec" rid="Ch1.S2"/>), overlain by the Santa Victoria and Mesón Groups, the Salta Group, and younger Orán Group and Quaternary deposits. Stratigraphic and geophysical constraints indicate that the cumulative thickness of these sedimentary units commonly ranges between 3 and 7 km in the Lerma Valley and surrounding regions <xref ref-type="bibr" rid="bib1.bibx65 bib1.bibx31" id="paren.82"/>.</p>
</sec>
<sec id="Ch1.S5.SS5">
  <label>5.5</label><title>Seismic Velocity Constraints and Basin Structure</title>
      <p id="d2e7520">Independent constraints from ambient-noise cross-correlation tomography reveal two seismic velocity domains in the uppermost crust, characterized by a low-velocity zone (<inline-formula><mml:math id="M340" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.75</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) and an underlying high-velocity zone (<inline-formula><mml:math id="M341" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3.5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>). Similar velocity contrasts and thicknesses (1–4 km for low-velocity basin fill overlying higher-velocity sedimentary or metasedimentary units) have been documented in surface-wave and refraction studies in the Andean foreland and Eastern Cordillera <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx29 bib1.bibx58" id="paren.83"/>. While a direct lithological attribution of these velocity contrasts remains non-unique, their depth range and magnitude are consistent with reported differences between poorly consolidated Quaternary sediments and the more competent, quartz-rich units of the Santa Victoria Group <xref ref-type="bibr" rid="bib1.bibx75 bib1.bibx65" id="paren.84"/>. We therefore interpret these zones as reflecting, at least in part, the transition from low-density basin fill to a mechanically stronger, higher-velocity sedimentary basement, acknowledging that alternative compositional and structural controls may also contribute to the observed seismic response.</p>
      <p id="d2e7575">This feature directly corresponds to the differences observed between the northern and southern basin, as noted by <xref ref-type="bibr" rid="bib1.bibx65" id="text.85"/>. The northern section lacks outcrops of the Salta Group, which dominate in the southern division controlled by the COT lineament (see Sect. <xref ref-type="sec" rid="Ch1.S2"/> and Fig. <xref ref-type="fig" rid="F1"/>).</p>
</sec>
<sec id="Ch1.S5.SS6">
  <label>5.6</label><title>CCP Imaging and Structural Continuity</title>
      <p id="d2e7593">The Common Conversion Point plots (Fig. <xref ref-type="fig" rid="F6"/>) provide compelling evidence for the presence of multiple seismic discontinuities, consistent with those listed in Table <xref ref-type="table" rid="T3"/> and shown in Fig. <xref ref-type="fig" rid="F4"/>. These features appear as continuous zones across all profiles, supporting the interpretation of laterally coherent crustal structures. In the north–south (CCP) profile <inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:mi>A</mml:mi><mml:mo>-</mml:mo><mml:msup><mml:mi>A</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, three prominent interfaces–located at approximately 47 km (the Moho), 30 and 10 km depth–are identified in both local and teleseismic receiver functions. The improved sharpness of these features in the local RFs highlights their higher resolution and sensitivity to fine-scale crustal layering, consistent with previous findings on the advantages of local RFs <xref ref-type="bibr" rid="bib1.bibx82 bib1.bibx55" id="paren.86"/>.</p>
</sec>
<sec id="Ch1.S5.SS7">
  <label>5.7</label><title>Tectonic Implications and Detachment Zones</title>
      <p id="d2e7628">Directly related to the discontinuities previously discussed, detachment zones, such as the one present at about 15 km depth, play a key role in accommodating crustal shortening and deformation in orogenic systems, particularly within the Andean orogen. In the Eastern Cordillera, these zones are commonly associated with mid-crustal decoupling, where strain is partitioned between upper and lower crustal levels, often facilitated by the presence of weak, extremely fractured layers <xref ref-type="bibr" rid="bib1.bibx25" id="paren.87"/>. Such detachment structures have been invoked to explain the style and distribution of deformation in the Eastern Andes, where thick-skinned tectonics transitions to more complex, distributed strain at depth <xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx56" id="paren.88"/>.</p>
      <p id="d2e7637">Within this regional tectonic framework, our receiver function (RF) analysis reveals a distinct detachment horizon at approximately 15 km depth, observed exclusively in the local RFs. This feature likely reflects mid-crustal shearing or the presence of an extremely fractured zone, processes commonly associated with deformation and metamorphism in active orogens <xref ref-type="bibr" rid="bib1.bibx39" id="paren.89"/>. The localized expression of this horizon is consistent with interpretations of widespread mechanical decoupling and intra-crustal strain partitioning documented in other Andean foreland systems <xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx51" id="paren.90"/>.</p>
</sec>
<sec id="Ch1.S5.SS8">
  <label>5.8</label><title>Moho Deepening and Regional Trends</title>
      <p id="d2e7654">In contrast, the Moho, evident in both local and teleseismic profiles, exhibits a clear southward-deepening trend, reaching depths greater than 50 km. This pattern may indicate crustal underplating or lithospheric flexure associated with ongoing convergence and crustal thickening <xref ref-type="bibr" rid="bib1.bibx85 bib1.bibx60" id="paren.91"/>. Similar Moho deepening has been reported in seismic studies across the central Andes and is often linked to magmatic additions or lower crustal flow in response to long-term tectonic loading <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx29 bib1.bibx6" id="paren.92"/>. These structural features are further supported by receiver function and seismic tomography results, which reveal significant heterogeneities in crustal structure tied to the evolution of the Andean orogen <xref ref-type="bibr" rid="bib1.bibx10" id="paren.93"/>.</p>
</sec>
<sec id="Ch1.S5.SS9">
  <label>5.9</label><title>Lateral Variations and Profile Comparisons</title>
      <p id="d2e7674">In the east–west oriented profiles <inline-formula><mml:math id="M343" display="inline"><mml:mrow><mml:mi>B</mml:mi><mml:mo>-</mml:mo><mml:msup><mml:mi>B</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:mi>C</mml:mi><mml:mo>-</mml:mo><mml:msup><mml:mi>C</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (see Fig. <xref ref-type="fig" rid="F8"/>), which cross the southern and northern segments of the study area, the same discontinuities are observed. However, in the northern profile, these features appear more diffuse. This may indicate lateral heterogeneity in crustal composition or increased attenuation due to structural complexity or varying seismic properties <xref ref-type="bibr" rid="bib1.bibx2" id="paren.94"/>.</p>
      <p id="d2e7712">Importantly, the higher frequency content of the local receiver functions significantly enhances structural clarity in the east–west profiles (see Fig. <xref ref-type="fig" rid="F7"/>), emphasizing the utility of high-resolution RF analysis for imaging crustal discontinuities. The combined use of local and teleseismic data provides a more comprehensive image of crustal architecture and reveals important spatial variations that contribute to our understanding of the geodynamic evolution of the region <xref ref-type="bibr" rid="bib1.bibx34" id="paren.95"/>.</p>
</sec>
<sec id="Ch1.S5.SS10">
  <label>5.10</label><title>Inversion Results and Model Robustness</title>
      <p id="d2e7728">The models derived from the joint and SWD inversions (see Fig. <xref ref-type="fig" rid="F9"/>) closely aligns with that obtained from the receiver functions and phase velocity dispersion curve, delineating four primary boundaries at depths of 47, 36, 6, and 4 km. These interfaces, first identified by <xref ref-type="bibr" rid="bib1.bibx86" id="text.96"/>, correspond well with the discontinuities observed in the teleseismic receiver functions (see Sect. <xref ref-type="sec" rid="Ch1.S3.SS2.SSS2"/>). However, a notable discrepancy exists in both depth and shear wave velocity: our model systematically indicates lower velocities and greater depths across all discontinuities.</p>
      <p id="d2e7738">It is important to note that joint inversion results are inherently non-unique, and the final velocity structure may depend on the choice of the initial model. To assess this sensitivity, we tested alternative starting models. A preliminary inversion using a reference model derived from local VELEST results was performed; however, this approach proved unstable, producing poor fits and yielding unreliable results, including negative velocity gradients in the lower crust. Such artifacts are geologically implausible in our study region and were therefore excluded from further consideration. In contrast, the preferred starting model led to stable and consistent solutions that satisfactorily fit both receiver functions and dispersion data, suggesting that the main structural features we report are robust despite the non-uniqueness of the inversion.</p>

      <fig id="F10" specific-use="star"><label>Figure 10</label><caption><p id="d2e7743">North–south and east–west model profiles of the Lerma Valley, showing four main discontinuities; from the Moho up to the Basin's bedrock contact. Three lesser discontinuities within the Basin. All layers with velocities retrieved form the inversions.</p></caption>
          <graphic xlink:href="https://se.copernicus.org/articles/17/711/2026/se-17-711-2026-f10.png"/>

        </fig>

</sec>
<sec id="Ch1.S5.SS11">
  <label>5.11</label><title>Shallow Structure and Seismic Hazard Implications</title>
      <p id="d2e7761">In addition, it should be noted that the upper layers of the model mentioned above, down to five kilometers, include a low velocity layer of about 0.7 <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. This feature can be attributed to the Tajamar Formation, for the southern stations only (see Sect. <xref ref-type="sec" rid="Ch1.S2"/>). The extent of this unit will be relevant, since it is conformed by fine-grained limos that are expected to suffer liquefaction when water oversaturates during strong motion produced by high magnitude events <xref ref-type="bibr" rid="bib1.bibx22" id="paren.97"/>.</p>
</sec>
<sec id="Ch1.S5.SS12">
  <label>5.12</label><title>Regional and Global Context</title>
      <p id="d2e7794">To further support the interpretation of the main discontinuities identified in this study, it is useful to place them within a broader geophysical context. Crustal interfaces at depths of <inline-formula><mml:math id="M346" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">40</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">50</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, interpreted as the Moho, have been consistently documented across the central Andes using a variety of seismic techniques, including receiver functions, refraction profiles, and gravity-constrained models <xref ref-type="bibr" rid="bib1.bibx84 bib1.bibx83 bib1.bibx6" id="paren.98"/>. Similarly, mid-crustal discontinuities near <inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">25</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">35</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> depth have been widely reported and are often associated with rheological transitions, changes in crustal composition, or zones of partial melt and fluid accumulation <xref ref-type="bibr" rid="bib1.bibx81 bib1.bibx68" id="paren.99"/>. Shallower discontinuities, particularly those located between <inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> and 20 km depth, are frequently interpreted as detachment horizons or zones of mechanical decoupling within orogenic crust, reflecting complex deformation processes and strain partitioning <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx82" id="paren.100"/>. The depths and characteristics of the discontinuities observed in this study are therefore consistent with first-order crustal structures reported throughout the Andean system.</p>
      <p id="d2e7853">In addition to regional-scale observations, similar multi-layered crustal architectures have been identified in other tectonically active regions worldwide, reinforcing the interpretation of the observed interfaces. For instance, studies in the Tibetan Plateau and other continental collision zones reveal comparable patterns of Moho topography, mid-crustal layering, and upper crustal detachments, often linked to crustal shortening, underplating, and channel flow processes <xref ref-type="bibr" rid="bib1.bibx50" id="paren.101"/>. In these settings, variations in seismic velocity across discontinuities are not uniquely indicative of tectonic boundaries but may also reflect changes in lithology, anisotropy, temperature, or fluid content <xref ref-type="bibr" rid="bib1.bibx14 bib1.bibx26" id="paren.102"/>. This highlights the importance of integrating multiple geophysical constraints, as done in this study, to reduce ambiguity and provide a more robust interpretation of crustal structure.</p>
</sec>
<sec id="Ch1.S5.SS13">
  <label>5.13</label><title>Integrated Structural Model</title>
      <p id="d2e7870">The final Fig. <xref ref-type="fig" rid="F10"/> provides a synthetic summary of the structures inferred from this study, integrating all results into two lithospheric-scale profiles across the Lerma Valley. One profile is oriented north–south and the other east–west, allowing the three-dimensional geometry of the subsurface to be visualized through two orthogonal sections. These profiles combine constraints from receiver functions, <inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="italic">κ</mml:mi></mml:mrow></mml:math></inline-formula> stacking, and inversion-derived velocity models into a unified structural framework. The principal seismic discontinuities are explicitly traced, illustrating variations in crustal thickness and the geometry of deeper interfaces across the study area.</p>
      <p id="d2e7887">Seismic velocities are indicated along both sections, and the main velocity gradients are emphasized to highlight vertical and lateral heterogeneities within the crust and upper mantle. The comparison between the north–south and east–west profiles reveals structural asymmetries and along-strike variations that are not evident in individual station-based results alone. By condensing the dataset into these two orthogonal cross-sections, the figure provides an integrated view of the lithospheric architecture beneath the Lerma Valley and serves as a structural reference for the geodynamic interpretation discussed above.</p>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d2e7899">In conclusion, the results of this study provide a detailed and coherent image of the crustal structure beneath the Lerma Valley, derived from the analysis of both local and teleseismic receiver functions in conjunction with surface wave dispersion data. The observed crustal stratification is broadly consistent with previous models proposed by <xref ref-type="bibr" rid="bib1.bibx86" id="text.103"/> and <xref ref-type="bibr" rid="bib1.bibx13" id="text.104"/>, particularly in the agreement of the upper layers with the known sedimentary basin structure, characterized by low velocities reaching down to 2.5 <inline-formula><mml:math id="M350" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e7925">The structural interpretation revealed four major discontinuities at approximate depths of 53–43, 35–30, 10–8, and 1.5–1.2 <inline-formula><mml:math id="M351" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. These are clearly imaged in the migrated receiver function stacks and supported by the CCP analysis. The deepest discontinuity corresponds to the Moho, which exhibits a southward-dipping geometry as observed in the L-component of the teleseismic RFs. The second interface marks the transition between the lower and middle crust, while the third delineates the upper limit of a possible detachment zone. The shallowest interface defines the basement of the sedimentary basin.</p>
      <p id="d2e7936">Importantly, the Common Conversion Point (CCP) migration (see Fig. <xref ref-type="fig" rid="F8"/>) reconfirms a pronounced north–south contrast in crustal architecture. In the north–south profile (<inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:mi>A</mml:mi><mml:mo>-</mml:mo><mml:msup><mml:mi>A</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>), the Moho and intermediate discontinuities appear sharper and better defined, particularly in the local receiver functions, with a clear deepening of the Moho towards the south–reaching depths greater than 50 <inline-formula><mml:math id="M353" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. Additionally, a detachment zone at <inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">15</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> depth is only evident in the local RFs, suggesting a mid-crustal feature that may be tectonically significant, in terms of stress transfer to the upper layers of the basin.</p>
      <p id="d2e7978">This north–south differentiation is further supported by the internal velocity variations observed across the valley, ranging from 1–3.5 <inline-formula><mml:math id="M355" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The southern sector is characterized by lower velocities, likely reflecting less consolidated sedimentary sequences, while the northern sector presents higher velocities associated with more competent crustal material.</p>
      <p id="d2e7999">The velocity model resulting from the joint inversion of receiver functions and Rayleigh wave phase velocities is robust and well-constrained. It comprises five distinct layers: (1) a soft upper sediment layer (0.8 <inline-formula><mml:math id="M356" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> thick, 1.25 <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), (2) a medium-consolidated sediment layer (3.7 <inline-formula><mml:math id="M358" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, 2.83 <inline-formula><mml:math id="M359" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), (3) a lower consolidated sediment layer (2 <inline-formula><mml:math id="M360" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, 3.25 <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), (4) a middle crustal layer (32 <inline-formula><mml:math id="M362" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, 3.9 <inline-formula><mml:math id="M363" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), and (5) a lower crustal layer (10 <inline-formula><mml:math id="M364" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, 4.1 <inline-formula><mml:math id="M365" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). These results provide key insights into the crustal architecture and geodynamic context of the Lerma Valley and establish a valuable reference for future seismic and tectonic investigations in the region.</p>
</sec>

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

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Bottom-Up Recursive Correction of Layered <inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> Ratios</title>
<sec id="App1.Ch1.S1.SS1">
  <label>A1</label><title>Weighted-Average Forward Model</title>
      <p id="d2e8166">For a stack of <inline-formula><mml:math id="M367" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> horizontal layers, the effective or measured ratio <inline-formula><mml:math id="M368" display="inline"><mml:mrow><mml:msubsup><mml:mi>k</mml:mi><mml:mrow><mml:mtext>meas</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> inferred from receiver-function <inline-formula><mml:math id="M369" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>-</mml:mo><mml:mi>k</mml:mi></mml:mrow></mml:math></inline-formula> analysis at depth index <inline-formula><mml:math id="M370" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> is given by the weighted average

            <disp-formula id="App1.Ch1.S1.E5" content-type="numbered"><label>A1</label><mml:math id="M371" display="block"><mml:mrow><mml:msubsup><mml:mi>k</mml:mi><mml:mrow><mml:mtext>meas</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mi>i</mml:mi></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:msub><mml:mi>k</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>H</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mi>i</mml:mi></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>H</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace linebreak="nobreak" width="0.33em"/><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the layer thickness, <inline-formula><mml:math id="M373" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> the P-wave velocity, and <inline-formula><mml:math id="M374" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> the intrinsic ratio of the <inline-formula><mml:math id="M375" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>th layer.  This relation expresses the measured value as a cumulative weighted mean over all layers above the conversion depth of interest.</p>
      <p id="d2e8379">Define the cumulative weight

            <disp-formula id="App1.Ch1.S1.E6" content-type="numbered"><label>A2</label><mml:math id="M376" display="block"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mi>i</mml:mi></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>H</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.33em"/><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="1em"/><mml:msub><mml:mi>w</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>H</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.33em"/><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          so that Eq. (<xref ref-type="disp-formula" rid="App1.Ch1.S1.E5"/>) can be written

            <disp-formula id="App1.Ch1.S1.E7" content-type="numbered"><label>A3</label><mml:math id="M377" display="block"><mml:mrow><mml:msubsup><mml:mi>k</mml:mi><mml:mrow><mml:mtext>meas</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:msub><mml:mi>N</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mi>i</mml:mi></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:msub><mml:mi>k</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:msub><mml:mi>w</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mspace width="0.33em" linebreak="nobreak"/><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
</sec>
<sec id="App1.Ch1.S1.SS2">
  <label>A2</label><title>Derivation of the Bottom-Up Recursive Relation</title>
      <p id="d2e8516">Consider the expression above evaluated at <inline-formula><mml:math id="M378" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M379" display="inline"><mml:mrow><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>:

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M380" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="App1.Ch1.S1.E8"><mml:mtd><mml:mtext>A4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msubsup><mml:mi>k</mml:mi><mml:mrow><mml:mtext>meas</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:msub><mml:mi>N</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>=</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:msub><mml:mi>w</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:msub><mml:mi>k</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:msub><mml:mi>w</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mspace width="0.33em" linebreak="nobreak"/><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="App1.Ch1.S1.E9"><mml:mtd><mml:mtext>A5</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msubsup><mml:mi>k</mml:mi><mml:mrow><mml:mtext>meas</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:msub><mml:mi>N</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:msub><mml:mi>k</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:msub><mml:mi>w</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mspace width="0.33em" linebreak="nobreak"/><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          Subtracting the two equations and solving for <inline-formula><mml:math id="M381" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> yields the bottom-up recursive formula:

            <disp-formula id="App1.Ch1.S1.E10" content-type="numbered"><label>A6</label><mml:math id="M382" display="block"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mi>k</mml:mi><mml:mrow><mml:mtext>meas</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:msub><mml:mi>N</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msubsup><mml:mi>k</mml:mi><mml:mrow><mml:mtext>meas</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:msub><mml:mi>N</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace linebreak="nobreak" width="0.33em"/><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          This expression shows that the estimate of <inline-formula><mml:math id="M383" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> depends only on the cumulative measurements at depths <inline-formula><mml:math id="M384" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> and the local weight <inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="App1.Ch1.S1.SS3">
  <label>A3</label><title>Matrix Representation</title>
      <p id="d2e8832">The system can be expressed compactly in linear-algebra form. Let

            <disp-formula id="App1.Ch1.S1.Ex1"><mml:math id="M387" display="block"><mml:mrow><mml:mi mathvariant="bold-italic">k</mml:mi><mml:mo>=</mml:mo><mml:mfenced open="[" close="]"><mml:mtable class="matrix" columnalign="center" framespacing="0em"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mi mathvariant="normal">⋮</mml:mi></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced><mml:mspace width="0.33em" linebreak="nobreak"/><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="1em"/><mml:mi mathvariant="bold-italic">N</mml:mi><mml:mo>=</mml:mo><mml:mfenced close="]" open="["><mml:mtable class="matrix" columnalign="center" framespacing="0em"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mi mathvariant="normal">⋮</mml:mi></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced><mml:mspace width="0.33em" linebreak="nobreak"/><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          and define the upper-triangular cumulative-weight matrix

            <disp-formula id="App1.Ch1.S1.Ex2"><mml:math id="M388" display="block"><mml:mrow><mml:mi mathvariant="bold-italic">L</mml:mi><mml:mo>=</mml:mo><mml:mfenced open="[" close="]"><mml:mtable class="matrix" columnalign="center center center center center" framespacing="0em"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mi mathvariant="normal">⋯</mml:mi></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mn mathvariant="normal">0</mml:mn></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mi mathvariant="normal">⋯</mml:mi></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mn mathvariant="normal">0</mml:mn></mml:mtd><mml:mtd><mml:mn mathvariant="normal">0</mml:mn></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mi mathvariant="normal">⋯</mml:mi></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mi mathvariant="normal">⋮</mml:mi></mml:mtd><mml:mtd><mml:mi mathvariant="normal">⋮</mml:mi></mml:mtd><mml:mtd><mml:mi mathvariant="normal">⋮</mml:mi></mml:mtd><mml:mtd><mml:mi mathvariant="normal">⋱</mml:mi></mml:mtd><mml:mtd><mml:mi mathvariant="normal">⋮</mml:mi></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mn mathvariant="normal">0</mml:mn></mml:mtd><mml:mtd><mml:mn mathvariant="normal">0</mml:mn></mml:mtd><mml:mtd><mml:mn mathvariant="normal">0</mml:mn></mml:mtd><mml:mtd><mml:mi mathvariant="normal">⋯</mml:mi></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced><mml:mspace width="0.33em" linebreak="nobreak"/><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          so the forward model reads

            <disp-formula id="App1.Ch1.S1.E11" content-type="numbered"><label>A7</label><mml:math id="M389" display="block"><mml:mrow><mml:mi mathvariant="bold-italic">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="bold-italic">k</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="bold-italic">N</mml:mi><mml:mspace width="0.33em" linebreak="nobreak"/><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          The inverse system, obtained by solving this triangular matrix, is

            <disp-formula id="App1.Ch1.S1.Ex3"><mml:math id="M390" display="block"><mml:mtable rowspacing="0.2ex" columnspacing="1em" class="aligned" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="bold-italic">k</mml:mi></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>=</mml:mo><mml:msup><mml:mi mathvariant="bold-italic">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mi mathvariant="bold-italic">N</mml:mi></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>=</mml:mo><mml:mfenced close="]" open="["><mml:mtable class="matrix" columnalign="center center center center center" framespacing="0em"><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:msub><mml:mi>w</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:msub><mml:mi>w</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mn mathvariant="normal">0</mml:mn></mml:mtd><mml:mtd><mml:mi mathvariant="normal">⋯</mml:mi></mml:mtd><mml:mtd><mml:mn mathvariant="normal">0</mml:mn></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mn mathvariant="normal">0</mml:mn></mml:mtd><mml:mtd><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:msub><mml:mi>w</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:msub><mml:mi>w</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mi mathvariant="normal">⋯</mml:mi></mml:mtd><mml:mtd><mml:mn mathvariant="normal">0</mml:mn></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mn mathvariant="normal">0</mml:mn></mml:mtd><mml:mtd><mml:mn mathvariant="normal">0</mml:mn></mml:mtd><mml:mtd><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:msub><mml:mi>w</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mi mathvariant="normal">⋯</mml:mi></mml:mtd><mml:mtd><mml:mn mathvariant="normal">0</mml:mn></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mi mathvariant="normal">⋮</mml:mi></mml:mtd><mml:mtd><mml:mi mathvariant="normal">⋮</mml:mi></mml:mtd><mml:mtd><mml:mi mathvariant="normal">⋮</mml:mi></mml:mtd><mml:mtd><mml:mi mathvariant="normal">⋱</mml:mi></mml:mtd><mml:mtd><mml:mi mathvariant="normal">⋮</mml:mi></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mn mathvariant="normal">0</mml:mn></mml:mtd><mml:mtd><mml:mn mathvariant="normal">0</mml:mn></mml:mtd><mml:mtd><mml:mn mathvariant="normal">0</mml:mn></mml:mtd><mml:mtd><mml:mi mathvariant="normal">⋯</mml:mi></mml:mtd><mml:mtd><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:msub><mml:mi>w</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced><mml:mi mathvariant="bold-italic">N</mml:mi><mml:mspace linebreak="nobreak" width="0.33em"/><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          Hence, componentwise,

            <disp-formula id="App1.Ch1.S1.E12" content-type="numbered"><label>A8</label><mml:math id="M391" display="block"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace linebreak="nobreak" width="0.33em"/><mml:mo>,</mml:mo><mml:mspace width="1em" linebreak="nobreak"/><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace width="0.33em" linebreak="nobreak"/><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="1em"/><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo><mml:mi>n</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          which is equivalent to the recursive solution (<xref ref-type="disp-formula" rid="App1.Ch1.S1.E10"/>).</p>
</sec>
<sec id="App1.Ch1.S1.SS4">
  <label>A4</label><title>Error Propagation and Stability</title>
      <p id="d2e9344">For small measurement uncertainties, standard error propagation yields

            <disp-formula id="App1.Ch1.S1.E13" content-type="numbered"><label>A9</label><mml:math id="M392" display="block"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow><mml:mrow><mml:msubsup><mml:mi>w</mml:mi><mml:mi>i</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace linebreak="nobreak" width="0.33em"/><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          Because only two adjacent cumulative terms contribute, uncertainties grow <italic>linearly</italic> with depth and the system remains well-conditioned. The recursion is anchored at the deepest layer (where the <inline-formula><mml:math id="M393" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>-</mml:mo><mml:mi>k</mml:mi></mml:mrow></mml:math></inline-formula> stacking is generally most reliable), making the bottom-up approach intrinsically more stable.</p>
      <p id="d2e9424">By contrast, the top-down recursion,

            <disp-formula id="App1.Ch1.S1.E14" content-type="numbered"><label>A10</label><mml:math id="M394" display="block"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mi>k</mml:mi><mml:mtext>meas</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mi>i</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:msub><mml:mi>w</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup><mml:msub><mml:mi>k</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:msub><mml:mi>w</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace linebreak="nobreak" width="0.33em"/><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          introduces all upper-layer uncertainties into the deeper estimates, causing error amplification with depth. This makes top-down inversion less suitable for constraining lower-crustal or Moho properties.</p>
</sec>
<sec id="App1.Ch1.S1.SS5">
  <label>A5</label><title>Instability of the Correction in Thin Upper Layers</title>
      <p id="d2e9518">To illustrate inherent limitations, consider a two-layer system.  Rearranging Eq. (<xref ref-type="disp-formula" rid="App1.Ch1.S1.E5"/>) at <inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> gives

            <disp-formula id="App1.Ch1.S1.E15" content-type="numbered"><label>A11</label><mml:math id="M396" display="block"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mtext>meas</mml:mtext><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mtext>meas</mml:mtext><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace linebreak="nobreak" width="0.33em"/><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          When <inline-formula><mml:math id="M397" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is small (thin sediments or low <inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>), the denominator becomes small and the estimate of <inline-formula><mml:math id="M399" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> becomes highly sensitive to uncertainties in the measured or assumed deeper-layer values.</p>
      <p id="d2e9693">The sensitivity to measurement uncertainty is

            <disp-formula id="App1.Ch1.S1.E16" content-type="numbered"><label>A12</label><mml:math id="M400" display="block"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mtext>meas</mml:mtext><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace width="0.33em" linebreak="nobreak"/><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          which becomes large as <inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>→</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.  Thus, shallow layers cannot be reliably corrected unless their P-wave velocity and thickness are well constrained.</p>
</sec>
<sec id="App1.Ch1.S1.SS6">
  <label>A6</label><title>Generalization to Arbitrary Incidence Angle</title>
      <p id="d2e9801">For a general ray parameter (or incidence angle), the forward model ceases to be linear.  Following the standard moveout expressions, the effective ratio becomes

            <disp-formula id="App1.Ch1.S1.E17" content-type="numbered"><label>A13</label><mml:math id="M402" display="block"><mml:mrow><mml:msubsup><mml:mi>k</mml:mi><mml:mtext>meas</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mi>j</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>j</mml:mi></mml:msubsup><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:msqrt><mml:mrow><mml:msubsup><mml:mi>k</mml:mi><mml:mi>i</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>-</mml:mo><mml:msup><mml:mi>sin⁡</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:msqrt><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>H</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>j</mml:mi></mml:msubsup><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>|</mml:mo><mml:mi>cos⁡</mml:mi><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>|</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>H</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace linebreak="nobreak" width="0.33em"/><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the incidence angle within layer <inline-formula><mml:math id="M404" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>.  Because the numerator includes <inline-formula><mml:math id="M405" display="inline"><mml:msqrt><mml:mrow><mml:msubsup><mml:mi>k</mml:mi><mml:mi>i</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>-</mml:mo><mml:msup><mml:mi>sin⁡</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:msqrt></mml:math></inline-formula> while the denominator depends on <inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mi>cos⁡</mml:mi><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula>, the expression is strongly nonlinear in both <inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="App1.Ch1.S1.SS7">
  <label>A7</label><title>Comparison of Bottom-Up and Top-Down Approaches</title>
      <p id="d2e10011">The bottom-up method inherits stability from its triangular structure: each <inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> depends only on the cumulative weights at depths <inline-formula><mml:math id="M410" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M411" display="inline"><mml:mrow><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> and the local weight <inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.  Errors accumulate slowly and remain bounded with increasing depth.</p>
      <p id="d2e10055">The top-down (head-down) method, in contrast, uses successively more cumulative quantities from all above layers, causing uncertainties to compound.  Deep layers – which are often the most geophysically important – receive the worst error amplification.</p>
      <p id="d2e10058">Empirical evaluations confirm this behavior: bottom-up estimates of lower-crustal and Moho <inline-formula><mml:math id="M413" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> values have consistently smaller uncertainties.</p>
</sec>
<sec id="App1.Ch1.S1.SS8">
  <label>A8</label><title>Relation to Pseudo-Wadati Estimates</title>
      <p id="d2e10076">The classical Wadati relation,

            <disp-formula id="App1.Ch1.S1.E18" content-type="numbered"><label>A14</label><mml:math id="M414" display="block"><mml:mrow><mml:msubsup><mml:mi>T</mml:mi><mml:mi>s</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>j</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mtext>Wadati</mml:mtext></mml:msub><mml:msubsup><mml:mi>T</mml:mi><mml:mi>p</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>j</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mspace width="0.33em" linebreak="nobreak"/><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          yields an apparent crustal <inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratio via regression.  Layerwise decomposition of the P- and S-travel times shows

            <disp-formula id="App1.Ch1.S1.E19" content-type="numbered"><label>A15</label><mml:math id="M416" display="block"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>k</mml:mi><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mtext>Wadati</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mo>∑</mml:mo><mml:mi>i</mml:mi></mml:msub><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>w</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mo>∑</mml:mo><mml:mi>i</mml:mi></mml:msub><mml:msub><mml:mi>w</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace linebreak="nobreak" width="0.33em"/><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="1em"/><mml:msub><mml:mi>w</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>j</mml:mi></mml:munder><mml:msubsup><mml:mi mathvariant="italic">β</mml:mi><mml:mi>i</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>j</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:msubsup><mml:mi>T</mml:mi><mml:mi>p</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>j</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:mspace width="0.33em" linebreak="nobreak"/><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          so the regression slope is a weighted mean of the true <inline-formula><mml:math id="M417" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values.  Because deep layers contribute most strongly to the travel-time budget, Wadati estimates naturally tend to reflect the lower-crust or Moho ratio.  This behavior is consistent with the stability of the bottom-up recursive correction, which likewise anchors its solution at the deepest layer.</p>
</sec>
<sec id="App1.Ch1.S1.SS9">
  <label>A9</label><title>Summary</title>
      <p id="d2e10253">The bottom-up recursive correction provides a robust and well-conditioned method for estimating layerwise <inline-formula><mml:math id="M418" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratios from cumulative receiver-function measurements.  Its triangular algebraic structure limits uncertainty growth and makes it particularly well suited for constraining lower-crustal and Moho properties.  Upper-layer estimates, however, remain subject to strong instability if the shallow P-wave velocity or thickness is poorly constrained.  Generalization to arbitrary incidence angles introduces strong nonlinearity and does not yield a comparable linear inversion scheme.</p>
</sec>
</app>

<app id="App1.Ch1.S2">
  <label>Appendix B</label><title>Empirical tests for the selection of forward-modeling parameters</title>
      <p id="d2e10283">The forward-modeling and preprocessing parameters adopted in this study were selected on the basis of empirical tests aimed at identifying a configuration that provides an improved fit to the observed receiver functions. Rather than performing a formal sensitivity analysis, we evaluated the effect of moderate variations in the main processing parameters on the quality of the forward modeling results.</p>
      <p id="d2e10286">Starting from a reference configuration, each parameter was varied independently by approximately <inline-formula><mml:math id="M419" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>, while all other settings were kept fixed. The parameters tested include the Gaussian filter coefficients <inline-formula><mml:math id="M420" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M421" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula>, the sampling interval <inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>, the ray parameter <inline-formula><mml:math id="M423" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>, and the maximum depth <inline-formula><mml:math id="M424" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula>. For each tested configuration, synthetic receiver functions were computed and visually and quantitatively compared with the observed data.</p>
      <p id="d2e10341">These tests showed that the parameter set adopted in the main text (<inline-formula><mml:math id="M425" display="inline"><mml:mrow><mml:mi>a</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M426" display="inline"><mml:mrow><mml:mi>c</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M428" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.045</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M429" display="inline"><mml:mrow><mml:mi>L</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">50</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) consistently produced a better agreement between observed and synthetic receiver functions than the alternative configurations explored. In particular, departures from this configuration either led to increased waveform misfit or to less stable and noisier synthetic receiver functions.</p>
      <p id="d2e10426">On this basis, the selected parameter values were retained for all inversions presented in this study, as they represent an empirically determined setup that optimizes the quality of the receiver-function fit within the range of tested parameter variations.</p>
</app>
  </app-group><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e10433">The data sets used for the process are currently available at  <xref ref-type="bibr" rid="bib1.bibx87" id="text.105"/> (<ext-link xlink:href="https://doi.org/10.31905/YTIR1IED" ext-link-type="DOI">10.31905/YTIR1IED</ext-link>) and <xref ref-type="bibr" rid="bib1.bibx16" id="text.106"/> (<ext-link xlink:href="https://doi.org/10.31905/G0EL5M90" ext-link-type="DOI">10.31905/G0EL5M90</ext-link>).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e10448">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/se-17-711-2026-supplement" xlink:title="zip">https://doi.org/10.5194/se-17-711-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e10457">EJMCS, AOC, FK, CML, GAV, and MZ. In this study, I performed with the assistance of AOC the receiver function (RF) analysis and ambient noise tomography (ANT) analysis using modified scripts originally written by AOC for his PhD thesis. I then carried out the inversion using adapted C and Python scripts. All authors contributed to the review and editing of the manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e10463">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e10469">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e10475">CUAA-DAHZ and Potsdam University express their gratitude for the economic and technical support provided for the network installation, service, removal, and further analysis. Additionally, we would like to acknowledge the local landowners for graciously permitting the installation of the seismic stations on their properties, as their cooperation was essential for the success of this project. We extend our heartfelt thanks to the entire team at the IBIGEO Institute, whose dedication and hard work contributed significantly to the planning, execution, and analysis phases of this research.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e10481">This research has been supported by the Consejo Nacional de Investigaciones Científicas y Técnicas (grant-no.: PUE-IBIGEO 22920160100108CO), the Agencia Nacional de Promoción Científica y Tecnológica (grant-no.: PICT 2017-1928), and the Deutsche Forschungsgemeinschaft (grant-no.: DFG grant STR 373/34-1).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e10487">This paper was edited by Irene Bianchi and reviewed by Franck Audemard and two anonymous referees.</p>
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