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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ESSD</journal-id><journal-title-group>
    <journal-title>Earth System Science Data</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ESSD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Earth Syst. Sci. Data</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1866-3516</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/essd-18-7403-2026</article-id><title-group><article-title>Ground-motion dataset for shallow earthquakes in Colombia</article-title><alt-title>Ground-motion dataset for shallow earthquakes in Colombia</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Martinez-Jaramillo</surname><given-names>Daniel</given-names></name>
          <email>danmartinezjar@geociencias.unam.mx</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Kotha</surname><given-names>Sreeram-Reddy</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4874-3730</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Zúñiga</surname><given-names>F. Ramón</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0277-3034</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Lacan</surname><given-names>Pierre</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Posgrado en Ciencias de la Tierra, Instituto de Geociencias, Universidad Nacional Autónoma de México, Querétaro, 76230, México</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>University Grenoble Alpes, University Savoie Mont Blanc, CNRS, IRD, University Gustave Eiffel, ISTerre, 38400 Grenoble, France</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Instituto de Geociencias, Universidad Nacional Autónoma de México. Juriquilla, 76230, Querétaro, México</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Daniel Martinez-Jaramillo (danmartinezjar@geociencias.unam.mx)</corresp></author-notes><pub-date><day>9</day><month>October</month><year>2026</year></pub-date>
      
      <volume>18</volume>
      <issue>10</issue>
      <fpage>7403</fpage><lpage>7415</lpage>
      <history>
        <date date-type="received"><day>16</day><month>March</month><year>2026</year></date>
           <date date-type="rev-request"><day>15</day><month>April</month><year>2026</year></date>
           <date date-type="rev-recd"><day>20</day><month>August</month><year>2026</year></date>
           <date date-type="accepted"><day>18</day><month>September</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Daniel Martinez-Jaramillo 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://essd.copernicus.org/articles/18/7403/2026/essd-18-7403-2026.html">This article is available from https://essd.copernicus.org/articles/18/7403/2026/essd-18-7403-2026.html</self-uri><self-uri xlink:href="https://essd.copernicus.org/articles/18/7403/2026/essd-18-7403-2026.pdf">The full text article is available as a PDF file from https://essd.copernicus.org/articles/18/7403/2026/essd-18-7403-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e125">The tectonics of Colombia is characterised by the interaction of multiple oceanic plates subducting beneath the continent, generating active transpressional deformation and a wide range of subduction-related and crustal earthquakes. We present a flatfile containing ground-motion intensity measurements (IMs) from 667 shallow earthquakes. Magnitudes were homogenised using S-wave corner-frequency-based estimates where a reliable agency-reported moment magnitude was unavailable. The dataset includes 7550 three-component acceleration records that were uniformly processed. The computed IMs include peak ground velocity, peak ground acceleration, and 5 %-damped spectral accelerations for 31 periods ranging from 0.01 to 8 s. Furthermore, the Fourier Amplitude Spectra for each component is provided in the frequency range from 0.04 to 50.00 Hz. Epicentral and hypocentral distances are reported for all events, while finite-fault distance metrics are estimated for earthquakes with <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mi>M</mml:mi><mml:mo>&gt;</mml:mo></mml:mrow></mml:math></inline-formula> 5.5. Site conditions are characterised using <inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and the horizontal-to-vertical spectral ratio (<inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mi mathvariant="normal">H</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">V</mml:mi></mml:mrow></mml:math></inline-formula>). Hypocentre locations are constrained using the ISC-EHB catalogue and the Integrated Seismological Catalogue of the Colombian Geological Survey. For validation and consistency checks, the dataset was compared to a global and region-adapted Ground Motion Prediction Model. This flatfile constitutes a valuable resource for seismic hazard analysis, ground-motion modelling, risk assessment, earthquake engineering applications, seismic-site response and source physics characterisation in Colombia, surrounding regions, and other comparable tectonic environments. The dataset is available at <ext-link xlink:href="https://doi.org/10.5281/zenodo.22031680" ext-link-type="DOI">10.5281/zenodo.22031680</ext-link> (Martinez-Jaramillo et al., 2026).</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e176">The subduction of the Nazca and Caribbean plates, together with the indentation (or possible additional subduction) of the Panamá-Chocó block against the northwestern South American plate, generates moderate to large earthquakes in the region. As a result, Colombia experiences a complex mixture of interface, intraslab, shallow continental, lithospheric continental, and volcanic-related earthquakes. Several significant earthquakes have strongly affected Colombia, for example:
<list list-type="bullet"><list-item>
      <p id="d2e183">18 May 1875, <inline-formula><mml:math id="M4" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> 6.8, in Cúcuta, Norte de Santander, occurred near the Colombia–Venezuela border, causing approximately 1000 fatalities. The likely source is the Aguas Calientes Fault System, part of the Boconó Fault System in the Mérida Andes (Rodríguez et al., 2018).</p></list-item><list-item>
      <p id="d2e194">31 January 1906, <inline-formula><mml:math id="M5" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> 8.8 in the Colombia–Ecuador border, a megathrust event along the Nazca subduction zone that generated a devastating tsunami and caused around 600 fatalities – one of the largest earthquakes recorded globally.</p></list-item><list-item>
      <p id="d2e206">12 December 1979, <inline-formula><mml:math id="M6" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> 8.2 (Tumaco, Nariño): Another major subduction earthquake that caused a tsunami and a death toll of more than 450.</p></list-item><list-item>
      <p id="d2e217">31 March 1983, <inline-formula><mml:math id="M7" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> 5.5 (Popayán, Cauca): Caused approximately 300 fatalities; the source is attributed to one of the structures belonging to the Romeral Fault System (RFS) (Marín-Arias et al., 2006).</p></list-item><list-item>
      <p id="d2e228">18 October 1992, <inline-formula><mml:math id="M8" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> 7.2, Murindó, Antioquia, caused more than 10 fatalities and widespread environmental effects, including soil liquefaction. This earthquake is associated with the Murindó Fault (Paris et al., 2000; Marín-Arias et al., 2009; Mosquera-Machado et al., 2009).</p></list-item><list-item>
      <p id="d2e239">25 January 1999, <inline-formula><mml:math id="M9" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> 6.1 (Eje Cafetero): Produced more than 2000 deaths and has been linked to the Córdoba Fault of the RFS (Paris et al., 2000; Vargas-Jiménez and Monsalve-Jaramillo, 2009).</p></list-item></list></p>
      <p id="d2e249">This brief set of examples highlights the importance of characterising and quantifying the intensity caused by shallow crustal earthquakes in Colombia. Globally, several major initiatives have undertaken the compilation and processing of seismograms to make ground-motion IMs widely available. These include the Next Generation Attenuation (NGA) projects for Western (NGA-West2) and Eastern U.S. (Ancheta et al., 2014; Goulet et al., 2021), the Near-Source Ground-motion Flatfile (Pacor et al., 2018; Sgobba et al., 2021), and regional efforts covering Europe (Akkar et al., 2014; Lanzano et al., 2019), Italy (Oliveti et al., 2021), France (Buscetti et al., 2025), Belgium (Vanneste et al., 2026), India (Sharma et al., 2025), Japan (Dawood et al., 2016), and Chile (Bastías and Montalva, 2016) among others.</p>
      <p id="d2e252">For Northern South America, Arteta et al. (2021) developed a Ground Motion Prediction Model (GMPM) for subduction earthquakes, Arteta et al. (2023) developed a GMPM for shallow crustal earthquakes with 709 records of 56 earthquakes, also Pájaro et al. (2024) developed a GMPM for the Bucaramanga Nest.</p>
      <p id="d2e255">The accessibility of IMs for a wide [<inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mi>M</mml:mi><mml:mo>,</mml:mo><mml:mi>R</mml:mi></mml:mrow></mml:math></inline-formula>] range is essential for the development of GMPMs, probabilistic seismic hazard assessment (PSHA), engineering seismology, and earthquake engineering. The development of GMPMs, particularly the partially non-ergodic kind, relies heavily on the quantity and quality of ground-motion IMs, and associated event, path, and site metadata. Such datasets are often referred to as <italic>flatfiles</italic>. Here, we present a flatfile generated from consistently processed ground-motion recordings from the shallow earthquakes across Colombia and tested with a global and a region-adapted GMPM for consistency check purposes.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Compilation of the Data</title>
      <p id="d2e281">The flatfile (Martinez-Jaramillo et al., 2026) is arranged as a table that contains verified and reliable metadata and IMs of processed waveforms recorded by the Colombian Geological Survey (SGC, per its Spanish acronym). SGC provided, upon request, more than 10 000 quality-checked acceleration time series. The criteria used to select earthquakes from the SGC database were: <list list-type="bullet"><list-item>
      <p id="d2e286">Events in the latitude range 0 to 14° N;</p></list-item><list-item>
      <p id="d2e290">Events in the longitude range 69 to 82° W;</p></list-item><list-item>
      <p id="d2e294">Events with depth estimation <inline-formula><mml:math id="M11" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 50 km;</p></list-item><list-item>
      <p id="d2e305">Any magnitude <inline-formula><mml:math id="M12" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 4;</p></list-item><list-item>
      <p id="d2e316">Records with <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">epi</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M14" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 400 km.</p></list-item></list></p>
      <p id="d2e337">After applying these earthquake selection criteria, we obtained more than 700 earthquakes. After filtering out volcanic events and spikes in the signals, we ultimately retained 667 events and 7550 records.</p>
      <p id="d2e340">SGC has a national network consisting of 506 seismological and accelerometric stations operating since 1993 installed around Colombia; some of them were removed or operated in temporary networks. The FDSN code for this network is CM. In addition, there are local networks within the country to specifically monitor volcanoes, mining districts, and oil and gas fields; some of these stations were shared with SGC and contributed to this flatfile. The sampling frequency of accelerometric stations is predominantly 200 Hz, with a few stations (3) at 100 Hz.</p>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Flatfile structure</title>
      <p id="d2e350">The fields of flatfile are grouped as: (1) Event metadata; (2) Site metadata; (3) Metrics of event-to-site distances; (4) Intensity measures.</p>
      <p id="d2e353">The 667 events are defined by their location (Latitude, Longitude, depth), origin time (date), and moment magnitude (<inline-formula><mml:math id="M15" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula>). Magnitudes were taken from the Integrated Seismic Catalog for Colombia (Montejo et al., 2023). This catalog was reviewed for locations and homogenised in <inline-formula><mml:math id="M16" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula>. For the events not included in the dataset of Montejo et al. (2023), we followed the same criteria, prioritizing locations made by ISC-EHB (Weston et al., 2018; International Seismological Centre, 2026) and SGC. <inline-formula><mml:math id="M17" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> was compiled from the Global CMT catalog (Ekström et al., 2012), USGS-NEIC, ISC, and SGC. Focal mechanisms were taken from GCMT and SGC. Geometry of the rupture plane is a simple description from the nodal plane preferred from the focal mechanism selected by the authors of this dataset from the geological context, with strike, dip, and rake for slip kinematics.</p>
      <p id="d2e377"><inline-formula><mml:math id="M18" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> is the preferred magnitude in GMPMs and PSHA. Magnitude range is 3.5 to 7.2. When <inline-formula><mml:math id="M19" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> was not available, <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values were taken depending on availability. To homogenise these magnitudes into <inline-formula><mml:math id="M22" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula>, we estimated corner frequencies (<inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) for each station-event recording. A single-corner <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ω</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> Brune (1970) source model was then fit to each corrected spectrum via a coarse grid search followed by non-linear least-squares refinement in log-log space, minimizing the residual between the observed and predicted spectral shape.  From the resulting <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, the source radius <inline-formula><mml:math id="M26" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> was computed following Brune (1970), <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.34</mml:mn><mml:mi mathvariant="italic">β</mml:mi><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">π</mml:mi><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), using a shear-wave velocity <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 3.5 km s<sup>−1</sup> representative of active continental crust. The seismic moment <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was then obtained from the Eshelby circular-crack relation, <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">16</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">7</mml:mn><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, under an assumed constant stress drop (<inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>), and converted to <inline-formula><mml:math id="M33" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> following Hanks and Kanamori (1979), <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mi>M</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>log<sub>10</sub>(<inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M37" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> 10.7. Values of <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>, and 5 MPa were tested and compared against independently reported <inline-formula><mml:math id="M39" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> (GCMT and other <inline-formula><mml:math id="M40" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> solutions) to select the value that best reproduced the catalog magnitudes. Ultimately, a stress drop of 5 MPa was chosen as it yielded the best agreement. This calculated magnitude was used when a reliable agency-reported <inline-formula><mml:math id="M41" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> was unavailable.</p>
      <p id="d2e669">The 227 sites featured in this dataset have been installed, maintained, and administered by SGC (Fig. 1).  Of these, 154 sites are also present in the Mercado et al. (2024) database for north-western South America, where the predominant site period (<inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and the <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:mi mathvariant="normal">H</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">V</mml:mi></mml:mrow></mml:math></inline-formula> ratios in the Fourier (HVFSR) and pseudo-spectral acceleration (HVRSR) domains were derived from seismograms, they also reported the amplitude of the HVSR at the peak corresponding to <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msup><mml:mi>P</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>).  Within this subset, 28 sites additionally have in-situ, microtremor-based measured <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, available from Mercado et al. (2024). For the remaining sites without in-situ measurements, we report an inferred <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> taken from the topographic-slope-based <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> map for Colombia (Eraso and Montejo, 2019).</p>

      <fig id="F1"><label>Figure 1</label><caption><p id="d2e763">Sites used in this work and <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (Eraso and Montejo, 2019; Mercado et al., 2024).</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/18/7403/2026/essd-18-7403-2026-f01.jpg"/>

        </fig>

      <p id="d2e786">Epicentral (<inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">epi</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and hypocentral (<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">hyp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) distances and Azimuth are reported for the entire dataset. Additionally, finite fault distances were computed from the geometry of the rupture plane derived from the preferred nodal plane for events with <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mi>M</mml:mi><mml:mo>&gt;</mml:mo></mml:mrow></mml:math></inline-formula> 5.5. Rupture dimensions were computed following Strasser et al. (2010) for subduction interface-related earthquakes and following Wells and Coppersmith (1994) for continental events. The hypocenter was placed at the midpoint of the fault plane, but for earthquakes with hypocentral depths shallower than 10 km, the midpoint of the rupture plane was placed at 12.5 km depth as the average thickness of the seismogenic depth. Joyner-Boore distance (<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">JB</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) was computed as the closest horizontal distance from the site to the surface projection of the rupture plane. <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the horizontal distance from the top edge of the rupture measured perpendicular to the fault strike, with positive and negative values indicating sites on the hanging-wall (<inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) and footwall (<inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) sides, respectively. <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>y</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the horizontal distance measured parallel to the strike from the fault midpoint.</p>
      <p id="d2e888">For the waveform processing, we followed the steps presented by Paolucci et al. (2011) and Lanzano et al. (2019): <list list-type="order"><list-item>
      <p id="d2e893">Baseline correction;</p></list-item><list-item>
      <p id="d2e897">Cosine taper;</p></list-item><list-item>
      <p id="d2e901">Application of a second order acausal bandpass Butterworth filter to the acceleration time-series;</p></list-item><list-item>
      <p id="d2e905">Double integration to obtain displacement time series;</p></list-item><list-item>
      <p id="d2e909">Linear detrending of the displacement;</p></list-item><list-item>
      <p id="d2e913">Double differentiation to get the corrected acceleration.</p></list-item></list></p>
      <p id="d2e916">For the bandpass filter limits, we used median values from Lanzano et al. (2019).  As they pointed out, the low-pass filter frequency (<inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">lp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) is magnitude independent, we took the mean value of 32.26 Hz, while for the high pass (<inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">hp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) filter we used a magnitude-dependent function as:

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M60" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">hp</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.15</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">Hz</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">for</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>M</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">hp</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn><mml:mfenced close=")" open="("><mml:mi>M</mml:mi></mml:mfenced><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.35</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">Hz</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">for</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mn mathvariant="normal">6</mml:mn><mml:mo>≥</mml:mo><mml:mi>M</mml:mi><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">hp</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">Hz</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">for</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>M</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">6</mml:mn><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d2e1041">We test the sensitivity of the parameter RotD50 peak ground acceleration (PGA) with the fixed <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">lp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of the bandpass filter at 32.26 Hz, taking the records and changing <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">lp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in a range of 27 to 37 Hz. The sensitivity analysis shows that most records are weakly affected by the choice of <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">lp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, as the average variation is 2.31 % and the 90th quantile is 7.0 %. However, 6.4 % of the recordings exhibit variation larger than 10 % in RotD50 PGA. These records are concentrated around <inline-formula><mml:math id="M64" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> 4.5 and <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">epi</mml:mi></mml:msub><mml:mo>&gt;</mml:mo></mml:mrow></mml:math></inline-formula> 250 km (Fig. A1). These differences are likely related to high-frequency signal content or noise close to the selected filter corner frequency, which could affect the peak acceleration amplitude.</p>
      <p id="d2e1097">Fourier Amplitude Spectrum (FAS) from the acceleration records in the three components are computed in the frequency range 0.04 to 50.00 Hz, applying Konno and Ohmachi (1998) function with smoothing (Lanzano et al., 2019). An example of FAS computed for an <inline-formula><mml:math id="M66" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> 6.1 earthquake recorded at 13 km is shown in Fig. 2.</p>

      <fig id="F2"><label>Figure 2</label><caption><p id="d2e1110">Fourier amplitude spectrum recorded by each component at ARMEC. Earthquake occurred on 25 January 1999 with <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mi>M</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6.1</mml:mn></mml:mrow></mml:math></inline-formula>. Dotted vertical blue lines represent bandwidth limits of the usable spectra for this earthquake.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/18/7403/2026/essd-18-7403-2026-f02.png"/>

        </fig>

      <p id="d2e1131">Usable frequencies are limited to those between the high-pass and low-pass by a safety factor of 1.25 to ensure that the filters do not have a significant effect on the response spectral values (Abrahamson and Silva, 1997). Hence, the usable bandwidth decreases at low frequencies for small magnitudes, and the upper limit for our dataset is 25.808 Hz. Lowest usable frequencies (LUF) are:

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M68" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="normal">LUF</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.1875</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">Hz</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">for</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>M</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="normal">LUF</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0625</mml:mn><mml:mfenced close=")" open="("><mml:mi>M</mml:mi></mml:mfenced><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.4375</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">Hz</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">for</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mn mathvariant="normal">6</mml:mn><mml:mo>≥</mml:mo><mml:mi>M</mml:mi><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="normal">LUF</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0625</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">Hz</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">for</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>M</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">6</mml:mn><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d2e1230">To facilitate direct use of the usable frequency range by the community, we added two columns to the FAS dataset – LUF_Hz and UF_Hz – reporting the lowest and highest usable frequency for each record, respectively.</p>
      <p id="d2e1233">A compilation of Effective Amplitude Spectrum (EAS) (Kottke et al., 2018), defined in Eq. (3), binned by magnitude, is shown in Fig. 3.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1238">Fourier amplitude spectrum geometric mean of the horizontal components (EAS) is binned by magnitudes for records with <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">epi</mml:mi></mml:msub><mml:mo>&lt;</mml:mo></mml:mrow></mml:math></inline-formula> 100 km. The limits of usable frequencies as a function of magnitude can be appreciated. </p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/18/7403/2026/essd-18-7403-2026-f03.png"/>

        </fig>

      <p id="d2e1261">The dataset includes IMs that are independent of sensor orientation, calculated using the median and maximum spectral ordinates over all non-redundant horizontal orientations, RotD50 and RotD100 (Boore, 2010), respectively. All spectral values were computed from the corrected accelerograms using standard response-spectrum analysis. Furthermore, the EAS is computed from the two horizontal components of FAS. The following IMs are provided: <list list-type="bullet"><list-item>
      <p id="d2e1266">RotD50 PGA from the horizontal components.</p></list-item><list-item>
      <p id="d2e1270">PGA, PGV and PGD for the three components.</p></list-item><list-item>
      <p id="d2e1274">RotD50 spectral accelerations for 5 % damping and oscillator periods ranging from 0.010 to 8.0 s.</p></list-item><list-item>
      <p id="d2e1278">Amplitudes of the Fourier Spectrum in the range 0.04 to 50.00 Hz for the three components.</p></list-item><list-item>
      <p id="d2e1282">EAS defined as</p></list-item></list>

            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M70" display="block"><mml:mrow><mml:mi mathvariant="normal">EAS</mml:mi><mml:mo>(</mml:mo><mml:mi>f</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><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:mfenced close="]" open="["><mml:mrow><mml:msub><mml:mi mathvariant="normal">FAS</mml:mi><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:msub><mml:msup><mml:mfenced close=")" open="("><mml:mi>f</mml:mi></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">FAS</mml:mi><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:msup><mml:mfenced open="(" close=")"><mml:mi>f</mml:mi></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfenced></mml:mrow></mml:msqrt></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are the given horizontal components at specific frequency <inline-formula><mml:math id="M73" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> of the FAS.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Data Statistics</title>
      <p id="d2e1382">The [<inline-formula><mml:math id="M74" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">epi</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>] distribution of 7550 records from 667 earthquakes in the catalogue is shown in Fig. 4. Epicenters of 488 earthquakes are located in the continental territory, whereas 179 are located offshore of the Colombian coastline. The classification between tectonic environments, such as subduction interface and intraslab among others is left for user determination depending on the slab models and classification methods used.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e1405">Distribution of <inline-formula><mml:math id="M76" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> and distance of the 7550  records.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/18/7403/2026/essd-18-7403-2026-f04.png"/>

      </fig>

      <p id="d2e1421">Data are sampled in the magnitude range 3.5–7.2 and for epicentral distances up to 400 km. There is also a significant number of records related to strong events with a magnitude greater than 5.5, corresponding to 9.5 % of the records (716) from 42 earthquakes. In addition, there are 15 events with magnitudes larger than 6.0, such as the <inline-formula><mml:math id="M77" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> 6.1 1999 Eje Cafetero earthquake, <inline-formula><mml:math id="M78" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> 7.2 2004 Pizarro earthquake on the Pacific coast, and <inline-formula><mml:math id="M79" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> 6.1 2023 San Juanito earthquake in eastern Colombia.</p>
      <p id="d2e1446">Figure 5 shows the number of records by <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">epi</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M81" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula>, depth, and <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> in the dataset. Most of the data correspond to distances larger than 100 km (about 85 %); 5.3 % of the records correspond to distances shorter than 50 km. The distribution of recordings by depth shows that most of the data have focal depths shallower than 20 km, corresponding to about 65.4 % of the total records in the flatfile, indicating a predominance of shallow crustal events in the dataset. About 2610 records (34.6 %) correspond to 20 <inline-formula><mml:math id="M83" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> depth (km) <inline-formula><mml:math id="M84" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 55. Although the initial catalogue selection required a raw, non-homogenised magnitude greater than 4, recalculating magnitude to a homogeneous <inline-formula><mml:math id="M85" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> widened the final magnitude range downward, with 162 of the 667 events (24 %) falling below <inline-formula><mml:math id="M86" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> 4.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e1512">Histograms of the records used in the flatfile showing epicentral distance, <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, magnitude and focal depth of the earthquakes, records and sites used in the dataset.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/18/7403/2026/essd-18-7403-2026-f05.png"/>

      </fig>

<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Consistency check: Residual analysis</title>
      <p id="d2e1542">For validation purposes (Bindi et al., 2019), we predicted PGA, SA (RotD50), and EAS IMs of the continental earthquakes in our dataset (488 events) – to compute residuals (Eq. 4) – using the input parameters in the GMPM.</p>
      <p id="d2e1545">The GMPMs used here are the global development of Abrahamson et al. (2014) – made with the NGA-West 2 dataset – and the one of Arteta et al. (2023), which is a regional development for Northern South America of Abrahamson et al. (2014).</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e1551">Basic statistics and standard deviation of the residuals of the dataset from GMPM of Abrahamson et al. (2014), Arteta et al. (2023), and Bayless and Abrahamson (2019). In parentheses is shown the standard deviation from the publication in the original paper.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="2cm"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="4cm"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="4cm"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="4cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">GMPM</oasis:entry>
         <oasis:entry colname="col2" align="right">Abrahamson et al. (2014) (RotD50 PGA)</oasis:entry>
         <oasis:entry colname="col3" align="right">Arteta et al. (2023) (RotD50 PGA)</oasis:entry>
         <oasis:entry colname="col4" align="right">Bayless and Abrahamson (2019) (EAS 5 Hz)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Coverage</oasis:entry>
         <oasis:entry colname="col2" align="right">Global for SA</oasis:entry>
         <oasis:entry colname="col3" align="right">Regional for Northern South America for SA</oasis:entry>
         <oasis:entry colname="col4" align="right">Global for FAS</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"><inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">total</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> mean</oasis:entry>
         <oasis:entry colname="col2" align="right">0.162</oasis:entry>
         <oasis:entry colname="col3" align="right"><inline-formula><mml:math id="M89" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.318</oasis:entry>
         <oasis:entry colname="col4" align="right">0.541</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"><inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">total</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> SD</oasis:entry>
         <oasis:entry colname="col2" align="right">1.316</oasis:entry>
         <oasis:entry colname="col3" align="right">1.290</oasis:entry>
         <oasis:entry colname="col4" align="right">1.349</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"><inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">total</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>| <inline-formula><mml:math id="M92" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M93" display="inline"><mml:mo>⋅</mml:mo></mml:math></inline-formula> SD</oasis:entry>
         <oasis:entry colname="col2" align="right">69.0 %</oasis:entry>
         <oasis:entry colname="col3" align="right">68.8 %</oasis:entry>
         <oasis:entry colname="col4" align="right">69.1 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"><inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">total</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>| <inline-formula><mml:math id="M95" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math id="M96" display="inline"><mml:mo>⋅</mml:mo></mml:math></inline-formula> SD</oasis:entry>
         <oasis:entry colname="col2" align="right">95.6 %</oasis:entry>
         <oasis:entry colname="col3" align="right">95.3 %</oasis:entry>
         <oasis:entry colname="col4" align="right">95.6 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"><inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">total</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>| <inline-formula><mml:math id="M98" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 3 <inline-formula><mml:math id="M99" display="inline"><mml:mo>⋅</mml:mo></mml:math></inline-formula> SD</oasis:entry>
         <oasis:entry colname="col2" align="right">99.7 %</oasis:entry>
         <oasis:entry colname="col3" align="right">99.6 %</oasis:entry>
         <oasis:entry colname="col4" align="right">99.7 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"><inline-formula><mml:math id="M100" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2" align="right">0.83</oasis:entry>
         <oasis:entry colname="col3" align="right">0.65 (0.43)</oasis:entry>
         <oasis:entry colname="col4" align="right">0.81 (0.38)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"><inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2" align="right">0.72</oasis:entry>
         <oasis:entry colname="col3" align="right">0.73</oasis:entry>
         <oasis:entry colname="col4" align="right">0.78 (0.40)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"><inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2" align="right">0.72</oasis:entry>
         <oasis:entry colname="col3" align="right">0.71</oasis:entry>
         <oasis:entry colname="col4" align="right">0.69</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"><inline-formula><mml:math id="M103" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2" align="right">1.31</oasis:entry>
         <oasis:entry colname="col3" align="right">1.21</oasis:entry>
         <oasis:entry colname="col4" align="right">1.32</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e1878">The comparison between observed and predicted IMs provides a consistency check for the data quality and processing methodology as shown in Fig. 6, where the total residual (<inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">total</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) is plotted against <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">hyp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M106" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula>, without significant biases.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e1912">Scatterplots of the total residual of the RotD50 PGA of the continental earthquakes in the dataset vs. <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">hyp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M108" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula>. The left panel figures are computed from Abrahamson et al. (2014) and right panel figures are computed from Arteta et al. (2023).</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/18/7403/2026/essd-18-7403-2026-f06.png"/>

        </fig>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e1941">Between event variability (<inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) of the continental earthquakes in the dataset and its standard deviation (<inline-formula><mml:math id="M110" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>). <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the upper panel is computed with Abrahamson et al. (2014) while in the lower panel is computed with Arteta et al. (2023).</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/18/7403/2026/essd-18-7403-2026-f07.png"/>

        </fig>

      <p id="d2e1983">The <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">total</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> can be decomposed into between-event (<inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), between-site (<inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi mathvariant="normal">S</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and leftover residuals (<inline-formula><mml:math id="M115" display="inline"><mml:mi mathvariant="italic">ϵ</mml:mi></mml:math></inline-formula>) (Al Atik et al., 2010) as:

            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M116" display="block"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi mathvariant="normal">es</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">es</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>M</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">es</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi mathvariant="normal">S</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="italic">ϵ</mml:mi></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M117" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> is the natural logarithm of the observed IMs from an individual earthquake, e, with magnitude <inline-formula><mml:math id="M118" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> observed at site, s, with <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> located at a distance <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">es</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">es</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the predicted median IMs from the GMPM.</p>
      <p id="d2e2164">The total standard deviation of the GMPM (<inline-formula><mml:math id="M122" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) can be written as:

            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M123" display="block"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:msup><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">S</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mn mathvariant="normal">0</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:msqrt></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M124" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are the standard deviation of <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M128" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>S2S<sub>s</sub>  and <inline-formula><mml:math id="M130" display="inline"><mml:mi mathvariant="italic">ϵ</mml:mi></mml:math></inline-formula> respectively.</p>
      <p id="d2e2286">Following residual decomposition of Eq. (4), we get <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M132" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>S2S<sub>s</sub> to show their distribution, results are shown in Figs. 7 and 8, respectively, and compiled in Table 1.</p>
      <p id="d2e2318">Trends of <inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> observed in Fig. 7 support the consistency of this dataset, where both GMPMs show low variability. As expected, the regional GMPM (Arteta et al., 2023) shows lower overall variability than the global one (Abrahamson et al., 2014). Within the <inline-formula><mml:math id="M135" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> [4.2, 4.7) range, around <inline-formula><mml:math id="M136" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> 4.5, <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in Arteta et al. (2023) shows a negative trend, suggesting that further magnitude calibration at these levels could help reconcile this discrepancy.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e2363">Site-to-site residuals (<inline-formula><mml:math id="M138" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>S2S<sub>s</sub>) and their standard deviation (<inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>). <inline-formula><mml:math id="M141" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>S2S<sub>s</sub> in the upper panel is computed with respect to Abrahamson et al. (2014), while in the lower panel it is computed with respect to Arteta et al. (2023).</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/18/7403/2026/essd-18-7403-2026-f08.png"/>

        </fig>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e2422"><inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M144" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>S2S<sub>s</sub> from the EAS (5 Hz) presented in the flatfile and the Bayless and Abrahamson (2019) GMPM. Upper panel: Between event variability (<inline-formula><mml:math id="M146" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>Be) of the continental earthquakes and its standard deviation (<inline-formula><mml:math id="M147" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>). Lower panel: Site-to-site residuals (<inline-formula><mml:math id="M148" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>S2S) and its standard deviation (<inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>).</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/18/7403/2026/essd-18-7403-2026-f09.png"/>

        </fig>

      <p id="d2e2497">Given that only 28 of the 227 sites in this dataset have in-situ, microtremor-based measured <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (Mercado et al., 2024), the remaining sites rely on inferred <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> from a topographic-slope-based proxy (Eraso and Montejo, 2019). We argue that this proxy-based approach could introduce additional epistemic uncertainty into the site parameter, potentially increasing the <inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> reported in this study. Some authors, such as Mercado et al. (2024), have proposed site classification schemes based on <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:mi mathvariant="normal">H</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">V</mml:mi></mml:mrow></mml:math></inline-formula> spectral ratio characteristics (HVRSR and HVFSR) as a robust alternative/complement to <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> based proxies for constraining site response in future applications of this dataset.</p>
      <p id="d2e2571">For Fourier IMs, we follow the same procedure with the EAS (5 Hz), comparing it with the GMPM of Bayless and Abrahamson (2019). Results are shown in Fig. 9. Statistical values computed are shown in Fig. 9 and Table 1.</p>
      <p id="d2e2574">We check the mean, standard deviation, and Gaussian-like shape of <inline-formula><mml:math id="M155" display="inline"><mml:mi mathvariant="italic">ϵ</mml:mi></mml:math></inline-formula>, and the Shapiro-Wilk test for normality. Residuals are Gaussian-like distributed for this dataset with respect to both GMPMs, the global and the regional developed one (Table 1 and Figs. A2 and A3). The same result is determined for the Fourier IMs EAS (Table 1 and Fig. A4).</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Data availability</title>
      <p id="d2e2593">The flatfile described in this paper is openly available under a CC BY 4.0 licence at Zenodo: <ext-link xlink:href="https://doi.org/10.5281/zenodo.22031680" ext-link-type="DOI">10.5281/zenodo.22031680</ext-link> (Martinez-Jaramillo et al., 2026). The acceleration time series were provided by the SGC and are available at <uri>https://catalogo-aceleraciones.sgc.gov.co/</uri> (last access: 5 October 2026) and via FDSN (network CM, <ext-link xlink:href="https://doi.org/10.7914/SN/CM" ext-link-type="DOI">10.7914/SN/CM</ext-link>, Servicio Geológico Colombiano, 1993).</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d2e2614">A ground motion flatfile is presented after homogeneous preprocessing of the acceleration records following Paolucci et al. (2011) and Lanzano et al. (2019) of the 7550 three-component records of 667 shallow earthquakes in Colombia, a region with several devastating earthquakes recorded in pre-instrumental and instrumental times. This flatfile is highly useful for characterising and modeling the ground motion associated with shallow tectonic structures in the northwestern Andes, as well as to be used in any seismic hazard assessment in Northern South America or in any comparable tectonic region around the world.</p>
      <p id="d2e2617">A compilation of the site parameters, such as <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mi mathvariant="normal">H</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">V</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, was carried out to constrain the characterisation of the sites and their seismic response.</p>
      <p id="d2e2657">The dataset was validated through residual analysis with a modern and widely used GMPM of Abrahamson et al. (2014), furthermore, with a region adaptation for Northern South America of Arteta et al. (2023). For FAS data, we used the Bayless and Abrahamson (2019) GMPM for validation. We showed the Gaussian-like distribution of the dataset with the aforementioned GMPM.</p>
      <p id="d2e2660">The Fourier Amplitude Spectrum presented here is a powerful tool that can be used to study source parameters, such as corner frequency, seismic moment, and stress drop.</p>
</sec>

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

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title/>

      <fig id="FA1"><label>Figure A1</label><caption><p id="d2e2676">Sensitivity test of the low pass frequency for the bandpass filter used in the preprocessing. <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">lp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was tested in the range 27 to 37 Hz.</p></caption>
        
        <graphic xlink:href="https://essd.copernicus.org/articles/18/7403/2026/essd-18-7403-2026-f10.png"/>

      </fig>

      <fig id="FA2"><label>Figure A2</label><caption><p id="d2e2700">Basic normal analysis of the total residuals of RotD50 PGA of the dataset from the GMPM of Abrahamson et al. (2014).</p></caption>
        
        <graphic xlink:href="https://essd.copernicus.org/articles/18/7403/2026/essd-18-7403-2026-f11.png"/>

      </fig>

      <fig id="FA3"><label>Figure A3</label><caption><p id="d2e2714">Basic normal analysis of the total residuals of RotD50 PGA of the dataset from the GMPM of Arteta et al. (2023).</p></caption>
        
        <graphic xlink:href="https://essd.copernicus.org/articles/18/7403/2026/essd-18-7403-2026-f12.png"/>

      </fig>

<fig id="FA4"><label>Figure A4</label><caption><p id="d2e2728">Basic normal analysis of the total residuals of EAS (5 Hz) of the dataset from the GMPM of Bayless and Abrahamson (2019).</p></caption>
        
        <graphic xlink:href="https://essd.copernicus.org/articles/18/7403/2026/essd-18-7403-2026-f13.png"/>

      </fig>

</app>
  </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e2743">DMJ: Conceptualization, formal analysis, software, validation, writing original draft. SRK: Conceptualization, formal analysis, software, validation, writing original draft. FRZ: Validation, funding acquisition, writing review and editing. PL: Validation, funding acquisition, writing review and editing.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e2749">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="d2e2755">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="d2e2761">The acceleration time series were given by SGC under request, but also available at: <uri>https://catalogo-aceleraciones.sgc.gov.co/</uri> (last access: 5 October 2026).</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e2769">Daniel Martinez-Jaramillo is a doctoral student of the Earth Sciences Graduate School, Universidad Nacional Autónoma de México and has received a SECIHTI scholarship 1184401. Partial support was received from the France-Mexico collaborative project SEP-CONACYT-ANUIES-ECOS no. 321193.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e2775">This paper was edited by Andrea Rovida and reviewed by two anonymous referees.</p>
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