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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">ojg</journal-id>
      <journal-title-group>
        <journal-title>Open Journal of Geology</journal-title>
      </journal-title-group>
      <issn pub-type="epub">2161-7589</issn>
      <issn pub-type="ppub">2161-7570</issn>
      <publisher>
        <publisher-name>Scientific Research Publishing</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.4236/ojg.2025.1512050</article-id>
      <article-id pub-id-type="publisher-id">ojg-147903</article-id>
      <article-categories>
        <subj-group>
          <subject>Article</subject>
        </subj-group>
        <subj-group>
          <subject>Earth</subject>
          <subject>Environmental Sciences</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Cinder Cones Geomorphometric Dating in the Camargo Volcanic Field, Chihuahua, Mexico</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <contrib-id contrib-id-type="orcid">0000-0002-0486-8726</contrib-id>
          <name name-style="western">
            <surname>Espejel-Garcia</surname>
            <given-names>Vanessa Veronica</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">0000-0001-7909-078X</contrib-id>
          <name name-style="western">
            <surname>Villalobos-Aragon</surname>
            <given-names>Alejandro</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">0000-0002-8284-1705</contrib-id>
          <name name-style="western">
            <surname>Espejel-Garcia</surname>
            <given-names>Daphne</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Gallegos-Aragon</surname>
            <given-names>Martha Iveth</given-names>
          </name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Chavez-Armendariz</surname>
            <given-names>Marina Esmeralda</given-names>
          </name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
      </contrib-group>
      <aff id="aff1"><label>1</label> School of Engineering, Autonomous University of Chihuahua, Chihuahua, Mexico </aff>
      <aff id="aff2"><label>2</label> Independent Geology Consultants, Chihuahua, Mexico </aff>
      <author-notes>
        <fn fn-type="conflict" id="fn-conflict">
          <p>The authors declare no conflicts of interest regarding the publication of this paper.</p>
        </fn>
      </author-notes>
      <pub-date pub-type="epub">
        <day>01</day>
        <month>12</month>
        <year>2025</year>
      </pub-date>
      <pub-date pub-type="collection">
        <month>12</month>
        <year>2025</year>
      </pub-date>
      <volume>15</volume>
      <issue>12</issue>
      <fpage>972</fpage>
      <lpage>985</lpage>
      <history>
        <date date-type="received">
          <day>09</day>
          <month>11</month>
          <year>2025</year>
        </date>
        <date date-type="accepted">
          <day>08</day>
          <month>12</month>
          <year>2025</year>
        </date>
        <date date-type="published">
          <day>11</day>
          <month>12</month>
          <year>2025</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>© 2025 by the authors and Scientific Research Publishing Inc.</copyright-statement>
        <copyright-year>2025</copyright-year>
        <license license-type="open-access">
          <license-p> This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ( <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 content-type="doi" xlink:href="https://doi.org/10.4236/ojg.2025.1512050">https://doi.org/10.4236/ojg.2025.1512050</self-uri>
      <abstract>
        <p>The Camargo Volcanic Field (CVF), located in the southeastern portion of the Mexican state of Chihuahua, is part of the Basin &amp; Range province. With a surface of nearly 3000 km<sup>2</sup> and composed of approximately 300 cinder cones, it is considered the largest alkaline mafic volcanic field in northern Mexico. Radiometric analyses have yielded absolute ages ranging from 4 to 0.09 Ma. Cinder cones are landforms that do not show significant variations in composition or shape, leading to constant erosion. Specifically, the relationship between their slope and age has been analyzed in numerous studies, showing that slopes decrease with age; this can then be used as an indicator of the relative age of the cones. This study applies an equation from Miller (2006), which correlates radiometric ages with slope angles from other arid-region cinder cones. Using this method, an exponential trend equation was published in previous work, based on data from cones dated using absolute dating methods and measured using remote sensing imagery. This work presents a geomorphometric study in which slopes and the distribution of 51 cinder cones were measured and analyzed. Digital elevation models, topographic maps, Google Earth, and drone images were processed to measure the cinder cones. Results showed slopes ranging from 3˚ to 13˚, with ages ranging from 226,671 to 99,408 years. The oldest cones are located within the SW portion of CVF, while the youngest cones are found in its north and NE portions. The data obtained were consistent with previous studies; however, it is important to note that the parameters used vary with image resolution. It was concluded that drone images are more accurate for geomorphometric age calculations because they have higher spatial resolution, yielding more precise measurements. Geomorphometric dating is suggested as a preliminary tool in volcanic field studies, but it is always advised to apply radiometric dating to determine the volcanic history of an area.</p>
      </abstract>
      <kwd-group kwd-group-type="author-generated" xml:lang="en">
        <kwd>Camargo Volcanic Field</kwd>
        <kwd>Cinder Cones</kwd>
        <kwd>Geomorphometric Dating</kwd>
        <kwd>Image Processing</kwd>
        <kwd>Volcanic Geomorphology</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec1">
      <title>1. Introduction</title>
      <p>Determining the age of rocks and/or minerals provides crucial insights into Earth’s history, helping to reconstruct the sequence of geological, geochemical, and tectonic events. Over time, the most widely applied dating techniques are the relative and the radiometric methods, each providing reliable rock ages [<xref ref-type="bibr" rid="B1">1</xref>][<xref ref-type="bibr" rid="B2">2</xref>].</p>
      <p>Relative dating establishes the chronological order of geological events based on stratigraphic principles and the continuity of the geological record, using stratigraphic relationships and fossil correlations, but does not assign numerical ages [<xref ref-type="bibr" rid="B3">3</xref>]. Radiometric dating determines absolute ages in years based on isotopic decay, allowing high precision in dating igneous and metamorphic rocks [<xref ref-type="bibr" rid="B2">2</xref>]. Among the radiometric methods, the most used are uranium-lead (U-Pb), potassium-argon (K-Ar), and rubidium-strontium (Rb-Sr) [<xref ref-type="bibr" rid="B2">2</xref>][<xref ref-type="bibr" rid="B4">4</xref>]. The advances in analytical instruments have enhanced the accuracy of dating.</p>
      <p>There is a third method, used only for certain cases, known as the geomorphometric dating method, which involves quantitative/physical analysis of geological structures or landform morphology, providing temporal information where isotopic or stratigraphic data are limited [<xref ref-type="bibr" rid="B5">5</xref>]. These methods develop an integrating approach to reconstructing the geochronology of Earth’s crust.</p>
      <p>The geomorphometric dating method leverages climatic conditions and geological formations. For example, dating cinder cones is only useful in arid climates and in formations younger than 1 Ma [<xref ref-type="bibr" rid="B6">6</xref>].</p>
      <p>Geomorphometric dating studies primarily include volcanic fields located in arid zones, among which are the El Potrillo Volcanic Field in New Mexico, USA [<xref ref-type="bibr" rid="B7">7</xref>], the Camargo Volcanic Field in Chihuahua, Mexico [<xref ref-type="bibr" rid="B8">8</xref>]-[<xref ref-type="bibr" rid="B10">10</xref>], and the Lunar Crater Volcanic Field in Nye County, Nevada, USA [<xref ref-type="bibr" rid="B11">11</xref>], among others. A brief overview of each is presented in <bold>Table 1</bold>.</p>
      <p>In the Camargo Volcanic Field (CVF), the acquisition of isotopic ages is constrained by several factors that justify the use of geomorphometric dating as a complementary tool. Since most of this vast surface is privately owned, access to the sampling sites is limited and can even be dangerous. Additionally, the high cost of radiometric analysis has resulted in a sparse and uneven chronological dataset for the CVF; only one work in the 2000s published absolute ages [<xref ref-type="bibr" rid="B12">12</xref>]. These constraints hinder the development of a consistent and detailed geochronological record of eruptions within the CVF. Thus, geomorphometric dating provides a feasible, quick, and low-cost alternative, enabling the estimation of relative or approximate ages when absolute dating is insufficient and the development of a temporal framework for the CVF volcanic evolution.</p>
      <p><bold>Table 1.</bold> Previous work on cinder cone analyses.</p>
      <table-wrap id="tbl1">
        <label>Table 1</label>
        <table>
          <tbody>
            <tr>
              <td>Authors</td>
              <td>Published paper</td>
              <td>Methodology</td>
              <td>Findings</td>
            </tr>
            <tr>
              <td>Scott(1971)</td>
              <td>Geology of the Lunar Crater Volcanic Field, Nye County, Nevada.</td>
              <td>Morphological changes in cinder cones, degree of weathering, and basalt flow superposition were analyzed to determine cone heights, base radius, and slope angles.</td>
              <td>Measured cinder cones were classified into 3 groups based on relative age: older, intermediate, and younger.</td>
            </tr>
            <tr>
              <td>Porter (1972)</td>
              <td>Distribution morphology, and size frequency of cinder cones on Mauna Kea Volcano, Hawaii.</td>
              <td>Geomorphological parameters, including crater width-depth, cone height, basal cone width, and maximum slope angle, were measured in 3 symmetrical rupture zones on Mauna Kea volcano in Hawaii.</td>
              <td>The cones showed little variation in slope angles (20˚- 27˚). Basal width and cone height were used to classify cones by size.</td>
            </tr>
            <tr>
              <td>Bloomfield (1975)</td>
              <td>A late-Quaternary monogenetic volcano field in central Mexico.</td>
              <td>Non-quantifiable geomorphometric characteristics were considered (erosion status of the upper flanks, base of the cones, condition of the crater rim, and infilling).</td>
              <td>The study analyzed 41 cinder cones and lava flows, yielding relative ages of 8,390 ±100 to 40,000 years, based on geomorphological parameters.</td>
            </tr>
            <tr>
              <td>Wood (1980)</td>
              <td>Morphometric analysis of cinder cones degradation.</td>
              <td>Geometric measurements from cinder cones with favorable shapes were obtained. They were related to degradation rates. These rates often vary enormously, so climate is an important factor to consider.</td>
              <td>Morphological studies of volcanoes were reviewed by observing certain structures on the surface of the moon, Mars and Venus, since much of a volcano’s history can be found in its shape and structure.</td>
            </tr>
            <tr>
              <td>Luhr &amp; Carmichael (1981)</td>
              <td>The Colima Volcanic Complex, Mexico: Part II. Late-Quaternary cinder cones.</td>
              <td>The relative age of 7 cones was calculated from their slope angles, using a constant previously used by Scott and Trask (1971).</td>
              <td>The cinder cones’ slopes decreased by 11˚ every 20,000 years.</td>
            </tr>
            <tr>
              <td>Noyola (1995)</td>
              <td>Comparative study of the geology and morphology of some cinder cones in the volcanic fields of Camargo, Chihuahua, and San Quintin, Baja California.</td>
              <td>Due to the large Camargo field size, only 11 cones were examined (considered as representative). The cones in the San Quintin field are taller, steeper, and better preserved.</td>
              <td>The cones were classified as young and intermediate in the northeastern part of the volcanic fields and mature in the southwestern parts.</td>
            </tr>
            <tr>
              <td>Miller (2006)</td>
              <td>A morphologic analysis of Quaternary cinder cones, Potrillo Volcanic Field, New Mexico.</td>
              <td>Cinder cone ages were calculated from morphological measurements and compared with radiometric ages of the Capulin volcano in the area.</td>
              <td>The distribution of slope angles resulted in 3 age groups: old, intermediate, and young. The results were compared with an exponential trend line fitted to radiometric ages of other cinder cones, establishing a relationship between age and cone slope angle.</td>
            </tr>
            <tr>
              <td>Pelletier &amp; Cline (2007)</td>
              <td>Nonlinear slope-dependent sediment transport in cinder cone evolution.</td>
              <td>A general equation was proposed for working with the evolution of gentle and steep slopes. The variable n changes depending on the speed of the transition between linear and nonlinear slope-dependent processes.</td>
              <td>It is established that nonlinear sediment transport models can be validated using cinder cones, which can be dated radiometrically and compared.</td>
            </tr>
            <tr>
              <td>
                Gilichinsky
                <italic>et al</italic>
                . (2010)
              </td>
              <td>Morphometric measurements of cinder cones from digital elevation models of the Tolbachik volcanic field, central Kamchatka.</td>
              <td>The morphometric parameters derived from a DEM include the main characteristics that control the rate of degradational evolution of the cone, namely height, width, and slope.</td>
              <td>Morphometric values obtained from a DEM are affected by the resolution change, and characteristics of the same cinder cone may vary among DEMs of different resolutions.</td>
            </tr>
            <tr>
              <td>Gallegos (2013)</td>
              <td>Geomorphometric analysis of Neogene and Quaternary cinder cones in the Camargo Volcanic Field, Chihuahua, Mexico.</td>
              <td>17% of the cinder cones in the volcanic field were analyzed using Global Mapper 14 software to process topographic maps and DEMs of the Mexican elevation continuum.</td>
              <td>The results showed slopes ranging from 4˚ to 13˚ and ages from 226,267 to 99,274 years, respectively.</td>
            </tr>
            <tr>
              <td>
                Kerexturi
                <italic>et al</italic>
                . (2013)
              </td>
              <td>Evaluation of morphometry-based dating of monogenetic volcanoes—a case study from Bandas del Sur, Tenerife (Canary Islands).</td>
              <td>Parameters were obtained from digital elevation models, and age estimates were derived from the cone height/width ratio and slope angle; the results were compared with K-Ar ages.</td>
              <td>Ages do not match, and the degradation trend and changes over time do not support the previously proposed simple degradation model for monogenetic volcanoes.</td>
            </tr>
            <tr>
              <td>Zarazúa-Carbajal and De la Cruz-Reyna (2021)</td>
              <td>Digital Elevation Model resolution: Effects on the chronometry-oriented morphological analysis of monogenetic scoria cones in the Sierra Chichinautzin, central Mexico.</td>
              <td>Morphometric parameters were measured from TanDEM-X SAR and LIDAR DEMs; ages were calculated. Then, compared to the radiometric reported ages.</td>
              <td>The age-relevant morphometric parameters calculated from both different DEMs perform equally well for the morpho-chronological characterization of scoria cones.</td>
            </tr>
            <tr>
              <td>Chávez (2021)</td>
              <td>Geomorphometric study of two cinder cones to the north of the Camargo Volcanic Field, Chih.</td>
              <td>Two of the youngest cinder cones from the Camargo volcanic field were measured using DEMs, Google Earth, and drone images. Geomorphometric ages were calculated.</td>
              <td>Drone images are more accurate than any other satellite imagery for calculating geomorphometric ages.</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
      <p>This research compares previously published radiometric ages [<xref ref-type="bibr" rid="B12">12</xref>] with geomorphometric ages for the best-preserved cinder cones of the Camargo Volcanic Field (CVF) in Chihuahua, Mexico.</p>
    </sec>
    <sec id="sec2">
      <title>2. Geologic Setting</title>
      <p>The study area is in the south-central portion of the state of Chihuahua, in the municipality of Camargo, 57 km east of Camargo city, on the border with the Mexican state of Coahuila, between UTM coordinates 533000E, 3042000N and 598000E, 3097000N (see <xref ref-type="fig" rid="fig1">Figure 1</xref>).</p>
      <p>The region known as the Camargo Volcanic Field (CVF) is composed of flows distributed as large alkaline basalt plateaus containing olivine, clinopyroxene, and kaersutite xenocrysts, as well as lower crustal xenoliths that come from near the Mohorovicic discontinuity boundary (peridotites, granulites, paragneisses, and othogneisses [<xref ref-type="bibr" rid="B10">10</xref>][<xref ref-type="bibr" rid="B12">12</xref>][<xref ref-type="bibr" rid="B13">13</xref>].</p>
      <p>The formation of the CVF is thought to be strongly related to a still-active normal fault trending NW-SE, with evidence that faulting and volcanism may have been contemporaneous [<xref ref-type="bibr" rid="B12">12</xref>][<xref ref-type="bibr" rid="B14">14</xref>]. The CVF lies along the trace of the buried San Marcos regional fault [<xref ref-type="bibr" rid="B12">12</xref>], which formed during the Jurassic and was reactivated in multiple deformation pulses.</p>
      <p>Based on its age, the field’s formation is attributed to the last reactivation, caused by extensional activity in the Basin and Range Province [<xref ref-type="bibr" rid="B15">15</xref>]. The most important structural feature of the CVF is a graben located in the center of the field, which divides it into three volcano-tectonic domains: 1) La Loba in the SW portion of the field; 2) El Venado in the central part, and 3) Las Maravillas in the NE portion of the CVF. Each domain is distinguished from the others by the age of its volcanic activity, the density of cones, and the density of faults [<xref ref-type="bibr" rid="B12">12</xref>].</p>
      <p>The 51 cinder cones measured were selected for their best-preserved form, and are distributed throughout the three domains, with the majority located within the Las Maravillas domain [<xref ref-type="bibr" rid="B12">12</xref>] (see <xref ref-type="fig" rid="fig1">Figure 1</xref>). The cinder cones selected were chosen based on their conserved circular form. The rest of the cones have horseshoe shapes or irregular base forms that do not allow for measuring the true base and/or crater diameters, which negatively impact age calculations, since these measurements are important for determining the slope angle.</p>
      <fig id="fig1">
        <label>Figure 1</label>
        <graphic xlink:href="https://html.scirp.org/file/1211915-rId17.jpeg?20251211103245" />
      </fig>
      <p><bold>Figure 1.</bold> Location and geologic map of the Camargo Volcanic Field (CVF), which shows the 51 cinder cones measured for this research. Adapted from [<xref ref-type="bibr" rid="B12">12</xref>] by [<xref ref-type="bibr" rid="B9">9</xref>].</p>
    </sec>
    <sec id="sec3">
      <title>3. Methodology</title>
      <p>The method used to measure slopes in cinder cones is based on techniques that analyze volcanic structures using satellite imagery, digital elevation models, Google Earth, and drone imagery. The information processing was performed using Global Mapper 14.</p>
      <p>Cinder cones are landforms that do not show significant variations in their composition and shape [<xref ref-type="bibr" rid="B16">16</xref>]. This characteristic allows for the establishment of constants in the effects of erosion on them. However, it is important to highlight the role of extrinsic factors that affect or intervene in the erosion process of cones that have a direct influence on the slope angle [<xref ref-type="bibr" rid="B16">16</xref>]-[<xref ref-type="bibr" rid="B21">21</xref>].</p>
      <p><italic>Climatic conditions</italic>: The degradation of any type of relief is mostly due to water and wind erosion. In temperate or tropical areas with high annual rainfall, water saturation on slopes often triggers landslides or mass wasting, which act as catalysts for the cones’ degradation. The opposite is true in arid zones, where the main erosive agent is wind, and vegetation is absent [<xref ref-type="bibr" rid="B16">16</xref>].<italic>Cone morphology</italic>: Erosion is more severe in geological structures or landforms with marked relief, while it will be less intense in those structures with bare relief. Young cinder cones will be more affected by erosion than older, semi- or well-degraded cones. As a result, over a given period, the effect of erosion is more evident in young volcanic structures than in semi-eroded ones [<xref ref-type="bibr" rid="B16">16</xref>]-[<xref ref-type="bibr" rid="B18">18</xref>]. Likewise, cuts in the volcanic structure caused by subsequent lava flows can accelerate erosion.</p>
      <p>The choice of slope-angle analysis technique is influenced by the specific environments of the study areas, including location and climatic conditions, as well as the age and characteristics of each cone. Within CVF, a high percentage of volcanic cones are unsuitable for analysis because they are highly eroded, with most exhibiting a horseshoe-shaped crater rim [<xref ref-type="bibr" rid="B10">10</xref>]. Based on these criteria, only 51 of the 300 cinder cones [<xref ref-type="bibr" rid="B12">12</xref>] have a well-defined shape and were measured.</p>
      <sec id="sec3dot1">
        <title>3.1. Morphometric Measurements</title>
        <p>The cinder cones’ measurements include the base diameter/radius and the cone’s maximum elevation. The Global Mapper 14 software was used to determine these dimensions. The processed images included mostly the Mexican elevation continuum, 1:50,000-scale topographic maps (both provided by the Mexican National Institute of Statistics and Geography, INEGI), and, for two specific cones in the northern part of CVF, Google Earth and drone images (<xref ref-type="fig" rid="fig2">Figure 2</xref>).</p>
        <p>The software allows us to obtain, in addition to a terrain’s 3D image, a topographic profile from a user-drawn line (<xref ref-type="fig" rid="fig3">Figure 3(a)</xref>) and the measurements needed to calculate the slope angle. Data acquisition was carried out as follows:</p>
        <p><italic>Base diameter/radius:</italic> for each cone, six lines were drawn in different directions to cover most of the circumference of the volcanic structure, and then the average of the 6 lines’ lengths corresponds to the base diameter. The base radius measurement is half of the diameter.<italic>Cones</italic><italic>’</italic><italic>maximum elevation (me):</italic> for each of the six lines drawn, the software provided a detailed profile section, obtaining from it the maximum (<italic>me</italic>) and basal elevation (<italic>be</italic>) of each line. The <italic>me</italic> and <italic>be</italic> of each cone were calculated </p>
        <fig id="fig2">
          <label>Figure 2</label>
          <graphic xlink:href="https://html.scirp.org/file/1211915-rId18.jpeg?20251211103246" />
        </fig>
        <p><bold>Figure 2.</bold> Images used for morphometric measurements: (a) digital elevation models (DEMs) and topographic maps, (b) Google Earth images, and (c) drone images [<xref ref-type="bibr" rid="B8">8</xref>].</p>
        <fig id="fig3">
          <label>Figure 3</label>
          <graphic xlink:href="https://html.scirp.org/file/1211915-rId19.jpeg?20251211103246" />
        </fig>
        <p><bold>Figure 3.</bold><bold>(</bold>a) Topographic profile obtained in Global Mapper 14; (b) Measurements in cinder cones for using trigonometry to calculate slope angle [<xref ref-type="bibr" rid="B9">9</xref>].</p>
        <p>as the average of the six initial heights of the profile. The difference (<italic>me</italic>-<italic>b</italic><italic>e</italic>) represents the maximum height (<italic>h</italic>) of the cone.</p>
        <p><italic>Slope angle:</italic> using the base radius and maximum elevations, the slope angle was calculated using the trigonometric function in Equation (1) (see <xref ref-type="fig" rid="fig3">Figure 3(b)</xref>).</p>
        <disp-formula id="FD1">
          <label>(1)</label>
          <mml:math>
            <mml:mrow>
              <mml:mi>θ</mml:mi>
              <mml:mo>=</mml:mo>
              <mml:msup>
                <mml:mrow>
                  <mml:mi>tan</mml:mi>
                </mml:mrow>
                <mml:mrow>
                  <mml:mo>−</mml:mo>
                  <mml:mn>1</mml:mn>
                </mml:mrow>
              </mml:msup>
              <mml:mrow>
                <mml:mo>(</mml:mo>
                <mml:mrow>
                  <mml:mrow>
                    <mml:mi>h</mml:mi>
                    <mml:mo>/</mml:mo>
                    <mml:mrow>
                      <mml:mtext>average of radii</mml:mtext>
                    </mml:mrow>
                  </mml:mrow>
                </mml:mrow>
                <mml:mo>)</mml:mo>
              </mml:mrow>
            </mml:mrow>
          </mml:math>
        </disp-formula>
      </sec>
      <sec id="sec3dot2">
        <title>3.2. Geomorphometric Dating Calculations</title>
        <p>Considering previous studies that relate slope angles to the radiometric ages of cinder cones [<xref ref-type="bibr" rid="B6">6</xref>][<xref ref-type="bibr" rid="B7">7</xref>][<xref ref-type="bibr" rid="B11">11</xref>], an exponential plot with its corresponding equation was established (<xref ref-type="fig" rid="fig4">Figure 4</xref>). This equation was proposed by Joseph Miller (2006). In it, he relates data from young cinder cones radiometrically dated, all located in arid zones, to the volcanoes of CVF. The volcanoes considered for this plot were the Paricutin, with an assigned age of 0, since it formed in 1943 [<xref ref-type="bibr" rid="B22">22</xref>]; Black Mountain volcanic center from the El Potrillo volcanic field in New Mexico, USA, with an age of 125 ± 11 ka [<xref ref-type="bibr" rid="B23">23</xref>]; and Capulin volcano in New Mexico, USA, 56 ± 8 ka [<xref ref-type="bibr" rid="B24">24</xref>]; all dated with the <sup>40</sup>Ar/<sup>39</sup>Ar radiometric technique. This equation was chosen because the author used cinder cones from similar arid climatic conditions to those in CVF; Black Mountain volcano is about 565 km to the NW of CVF and is part of the same tectonic event, also Chihuahua and New Mexico are within the Chihuahuan desert. The resulting plot shows an exponential trend line with a specific function (Equations (2), (3)), indicating that the degree of erosion reflected in the cones’ slope angles increases with time elapsed since the volcanic activity ceased.</p>
        <disp-formula id="FD2">
          <label>(2)</label>
          <mml:math>
            <mml:mrow>
              <mml:mi>y</mml:mi>
              <mml:mo>=</mml:mo>
              <mml:mo>
              </mml:mo>
              <mml:mn>35</mml:mn>
              <mml:msup>
                <mml:mtext>e</mml:mtext>
                <mml:mrow>
                  <mml:mo>−</mml:mo>
                  <mml:mn>5</mml:mn>
                  <mml:mi>x</mml:mi>
                </mml:mrow>
              </mml:msup>
              <mml:mrow>
                <mml:mo>(</mml:mo>
                <mml:mrow>
                  <mml:mtext>where</mml:mtext>
                  <mml:mi>R</mml:mi>
                  <mml:mo>=</mml:mo>
                  <mml:mn>1</mml:mn>
                </mml:mrow>
                <mml:mo>)</mml:mo>
              </mml:mrow>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <disp-formula id="FD3">
          <label>(3)</label>
          <mml:math>
            <mml:mrow>
              <mml:mi>y</mml:mi>
              <mml:mo>=</mml:mo>
              <mml:mo>
              </mml:mo>
              <mml:mn>3.179</mml:mn>
              <mml:msup>
                <mml:mtext>e</mml:mtext>
                <mml:mrow>
                  <mml:mo>−</mml:mo>
                  <mml:mn>1</mml:mn>
                  <mml:mi>E</mml:mi>
                  <mml:mo>−</mml:mo>
                  <mml:mn>5</mml:mn>
                  <mml:mi>x</mml:mi>
                </mml:mrow>
              </mml:msup>
              <mml:mrow>
                <mml:mo>(</mml:mo>
                <mml:mrow>
                  <mml:mtext>where</mml:mtext>
                  <mml:msup>
                    <mml:mi>R</mml:mi>
                    <mml:mn>2</mml:mn>
                  </mml:msup>
                  <mml:mo>=</mml:mo>
                  <mml:mn>0.9999</mml:mn>
                </mml:mrow>
                <mml:mo>)</mml:mo>
              </mml:mrow>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <fig id="fig4">
          <label>Figure 4</label>
          <graphic xlink:href="https://html.scirp.org/file/1211915-rId26.jpeg?20251211103246" />
        </fig>
        <p><bold>Figure 4.</bold> Exponential plot showing the correlation between slope angle and absolute dating. The trend equation was used to calculate the geomorphometric age of the cinder cones. Note the values used for the Black Mountain, Capulín, and Paricutín.</p>
        <p>To provide an approximation of Quaternary cinder cone ages, the variable X must be solved, which represents the age in Equation (3), where <italic>Y</italic> is the slope angle. The ages were calculated for each cone in Microsoft Excel.</p>
      </sec>
    </sec>
    <sec id="sec4">
      <title>4. Results</title>
      <p>The cinder cones’ geomorphometric analyses from CVF show slope angles ranging from 3˚ to 13˚ and calculated ages ranging from 226,671 to 99,408 years (<bold>Table 2</bold>).</p>
      <p><bold>Table 2.</bold> Geomorphometric measurements and age calculations for the CVF cinder cones.</p>
      <table-wrap id="tbl2">
        <label>Table 2</label>
        <table>
          <tbody>
            <tr>
              <td>Cinder cone</td>
              <td>Lat. (UTM)</td>
              <td>Long. (UTM)</td>
              <td>Baseelevation (avg)*</td>
              <td>Maximum coneelevation (avg)*</td>
              <td>Cone height (h)*</td>
              <td>Radio</td>
              <td>SlopeAngle (˚)</td>
              <td>Age(years)</td>
            </tr>
            <tr>
              <td>CC01</td>
              <td>3049281</td>
              <td>540731</td>
              <td>1695.02</td>
              <td>1723.29</td>
              <td>28.269</td>
              <td>247.7</td>
              <td>6.5</td>
              <td>168,414.57</td>
            </tr>
            <tr>
              <td>CC02</td>
              <td>3,065,593</td>
              <td>541,138</td>
              <td>1639.72</td>
              <td>1700.34</td>
              <td>60.625</td>
              <td>269.5</td>
              <td>12.6˚</td>
              <td colspan="2">102,225.11</td>
            </tr>
            <tr>
              <td>CC03</td>
              <td>3,061,581</td>
              <td>541,535</td>
              <td>1643.83</td>
              <td>1695.07</td>
              <td>51.24</td>
              <td>492.92</td>
              <td>5.9˚</td>
              <td colspan="2">178,099.55</td>
            </tr>
            <tr>
              <td>CC04</td>
              <td>3,060,532</td>
              <td>545,190</td>
              <td>1642.91</td>
              <td>1681.61</td>
              <td>38.699</td>
              <td>263.31</td>
              <td>8.35˚</td>
              <td colspan="2">143,368.63</td>
            </tr>
            <tr>
              <td>CC05</td>
              <td>3,055,266</td>
              <td>546,765</td>
              <td>1652.07</td>
              <td>1692.65</td>
              <td>40.579</td>
              <td>270.17</td>
              <td>8.5˚</td>
              <td colspan="2">141,588.17</td>
            </tr>
            <tr>
              <td>CC06</td>
              <td>3,052,686</td>
              <td>549,088</td>
              <td>1636.57</td>
              <td>1686.56</td>
              <td>49.984</td>
              <td>265.17</td>
              <td>10.6˚</td>
              <td colspan="2">119,509.39</td>
            </tr>
            <tr>
              <td>CC07</td>
              <td>3,066,837</td>
              <td>542,876</td>
              <td>1625.97</td>
              <td>1680.00</td>
              <td>54.024</td>
              <td>361.08</td>
              <td>8.5˚</td>
              <td colspan="2">141,588.17</td>
            </tr>
            <tr>
              <td>CC08</td>
              <td>3,060,135</td>
              <td>552,693</td>
              <td>1602.42</td>
              <td>1652.59</td>
              <td>50.169</td>
              <td>350.17</td>
              <td>8.15˚</td>
              <td colspan="2">145,793.00</td>
            </tr>
            <tr>
              <td>CC09</td>
              <td>3,052,151</td>
              <td>554,365</td>
              <td>1515.73</td>
              <td>1539.36</td>
              <td>23.637</td>
              <td>325.83</td>
              <td>4.13˚</td>
              <td colspan="2">213,767.05</td>
            </tr>
            <tr>
              <td>CC10</td>
              <td>3,063,152</td>
              <td>552,774</td>
              <td>1531.716</td>
              <td>1570.73</td>
              <td>38.512</td>
              <td>313</td>
              <td>7˚</td>
              <td colspan="2">161,003.77</td>
            </tr>
            <tr>
              <td>CC11</td>
              <td>3,055,532</td>
              <td>555,222</td>
              <td>1548.36</td>
              <td>1578.64</td>
              <td>30.288</td>
              <td>303.33</td>
              <td>5.7˚</td>
              <td colspan="2">181,548.17</td>
            </tr>
            <tr>
              <td>CC12</td>
              <td>3,065,049</td>
              <td>556,683</td>
              <td>1548.51</td>
              <td>1595.14</td>
              <td>46.632</td>
              <td>267.35</td>
              <td>9.88˚</td>
              <td colspan="2">126,543.54</td>
            </tr>
            <tr>
              <td>CC13</td>
              <td>3,052,664</td>
              <td>559,128</td>
              <td>1544.85</td>
              <td>1582.15</td>
              <td>36.888</td>
              <td>292</td>
              <td>7.18˚</td>
              <td colspan="2">158,464.85</td>
            </tr>
            <tr>
              <td>CC14</td>
              <td>3,056,319</td>
              <td>560,341</td>
              <td>1549.75</td>
              <td>1572.07</td>
              <td>22.32</td>
              <td>294.75</td>
              <td>4.32˚</td>
              <td colspan="2">209,269.25</td>
            </tr>
            <tr>
              <td>CC15</td>
              <td>3,053,748</td>
              <td>563,389</td>
              <td>1518.35</td>
              <td>1541.67</td>
              <td>23.326</td>
              <td>366.42</td>
              <td>3.63˚</td>
              <td colspan="2">226,671.52</td>
            </tr>
            <tr>
              <td>CC16</td>
              <td>3,071,450</td>
              <td>555,525</td>
              <td>1452.44</td>
              <td>1488.02</td>
              <td>35.58</td>
              <td>316.17</td>
              <td>6.42˚</td>
              <td colspan="2">169,652.98</td>
            </tr>
            <tr>
              <td>CC17</td>
              <td>3,066,342</td>
              <td>559,191</td>
              <td>1541.83</td>
              <td>1593.36</td>
              <td>51.537</td>
              <td>373.42</td>
              <td>7.85˚</td>
              <td colspan="2">149,543.43</td>
            </tr>
            <tr>
              <td>CC18</td>
              <td>3,067,623</td>
              <td>563,945</td>
              <td>1612.59</td>
              <td>1648.86</td>
              <td>36.263</td>
              <td>325.58</td>
              <td>6.35˚</td>
              <td colspan="2">170,749.31</td>
            </tr>
            <tr>
              <td>CC19</td>
              <td>3,066,740</td>
              <td>564,974</td>
              <td>1610.71</td>
              <td>1643.27</td>
              <td>33.646</td>
              <td>378.58</td>
              <td>5˚</td>
              <td colspan="2">194,651.00</td>
            </tr>
            <tr>
              <td>CC20</td>
              <td>3,065,952</td>
              <td>573,456</td>
              <td>1580.54</td>
              <td>1600.51</td>
              <td>19.9725</td>
              <td>211.08</td>
              <td>5.4˚</td>
              <td colspan="2">186,954.89</td>
            </tr>
            <tr>
              <td>CC21</td>
              <td>3,065,605</td>
              <td>575,105</td>
              <td>1552.96</td>
              <td>1629.64</td>
              <td>76.68</td>
              <td>366.08</td>
              <td>11.82˚</td>
              <td colspan="2">108,615.49</td>
            </tr>
            <tr>
              <td>CC22</td>
              <td>3,063,857</td>
              <td>582,526</td>
              <td>1534.72</td>
              <td>1576.70</td>
              <td>41.976</td>
              <td>238.18</td>
              <td>9.98˚</td>
              <td colspan="2">125,536.48</td>
            </tr>
            <tr>
              <td>CC23</td>
              <td>3,062,298</td>
              <td>584,695</td>
              <td>1497.13</td>
              <td>1519.54</td>
              <td>22.416</td>
              <td>305.08</td>
              <td>4.2˚</td>
              <td colspan="2">212,086.34</td>
            </tr>
            <tr>
              <td>CC24</td>
              <td>3,071,841</td>
              <td>572,956</td>
              <td>1623.74</td>
              <td>1662.99</td>
              <td>39.249</td>
              <td>336.42</td>
              <td>6.65˚</td>
              <td colspan="2">166,133.10</td>
            </tr>
            <tr>
              <td>CC25</td>
              <td>3,073,255</td>
              <td>569,061</td>
              <td>1669.80</td>
              <td>1726.07</td>
              <td>56.266</td>
              <td>269.08</td>
              <td>11.8˚</td>
              <td colspan="2">108,784.84</td>
            </tr>
            <tr>
              <td>CC26</td>
              <td>3,075,493</td>
              <td>566,967</td>
              <td>1649.35</td>
              <td>1675.34</td>
              <td>25.995</td>
              <td>274</td>
              <td>5.42˚</td>
              <td colspan="2">186,585.21</td>
            </tr>
            <tr>
              <td>CC27</td>
              <td>3,078,401</td>
              <td>567,353</td>
              <td>1763.70</td>
              <td>1805.63</td>
              <td>41.937</td>
              <td>278</td>
              <td>8.57˚</td>
              <td colspan="2">140,768.01</td>
            </tr>
            <tr>
              <td>CC28</td>
              <td>3,079,164</td>
              <td>567,439</td>
              <td>1771.92</td>
              <td>1852.56</td>
              <td>80.634</td>
              <td>397.58</td>
              <td>11.45˚</td>
              <td colspan="2">111,795.82</td>
            </tr>
            <tr>
              <td>CC29</td>
              <td>3,075,401</td>
              <td>569,569</td>
              <td>1708.11</td>
              <td>1766.76</td>
              <td>58.65</td>
              <td>354.42</td>
              <td>9.38˚</td>
              <td colspan="2">131,736.81</td>
            </tr>
            <tr>
              <td>CC30</td>
              <td>3,072,733</td>
              <td>573,696</td>
              <td>1629.18</td>
              <td>1662.65</td>
              <td>33.469</td>
              <td>342.67</td>
              <td>5.57˚</td>
              <td colspan="2">183855.2828</td>
            </tr>
            <tr>
              <td>CC31</td>
              <td>3,071,858</td>
              <td>578,761</td>
              <td>1612.07</td>
              <td>1673.66</td>
              <td>61.59</td>
              <td>487.08</td>
              <td>7.2˚</td>
              <td colspan="2">158,186.69</td>
            </tr>
            <tr>
              <td>CC32</td>
              <td>3,074,213</td>
              <td>576,896</td>
              <td>1627.21</td>
              <td>1669.97</td>
              <td>42.769</td>
              <td>352.17</td>
              <td>6.92˚</td>
              <td colspan="2">162,153.21</td>
            </tr>
            <tr>
              <td>CC33</td>
              <td>3,076,282</td>
              <td>575,033</td>
              <td>1689.57</td>
              <td>1789.71</td>
              <td>100.141</td>
              <td>448.42</td>
              <td>12.58˚</td>
              <td colspan="2">102,383.96</td>
            </tr>
            <tr>
              <td>CC34</td>
              <td>3,080,532</td>
              <td>572,203</td>
              <td>1720.83</td>
              <td>1787.90</td>
              <td>67.07</td>
              <td>386.83</td>
              <td>9.8˚</td>
              <td colspan="2">127,356.55</td>
            </tr>
            <tr>
              <td>CC35</td>
              <td>3,081,678</td>
              <td>567,997</td>
              <td>1770.46</td>
              <td>1826.24</td>
              <td>55.781</td>
              <td>248.69</td>
              <td>12.6˚</td>
              <td colspan="2">102,225.11</td>
            </tr>
            <tr>
              <td>CC36</td>
              <td>3,082,877</td>
              <td>566,992</td>
              <td>1770.76</td>
              <td>1799.48</td>
              <td>28.721</td>
              <td>265.08</td>
              <td>6.18˚</td>
              <td colspan="2">173,462.96</td>
            </tr>
            <tr>
              <td>CC37</td>
              <td>3,081,814</td>
              <td>564,679</td>
              <td>1785.51</td>
              <td>1851.67</td>
              <td>82.711</td>
              <td>414</td>
              <td>8.16˚</td>
              <td colspan="2">145,670.37</td>
            </tr>
            <tr>
              <td>CC38</td>
              <td>3,081,814</td>
              <td>564,679</td>
              <td>1722.73</td>
              <td>1755.35</td>
              <td>32.626</td>
              <td>288.92</td>
              <td>6.43˚</td>
              <td colspan="2">169,497.33</td>
            </tr>
            <tr>
              <td>CC39</td>
              <td>3,084,631</td>
              <td>567,150</td>
              <td>1756.75</td>
              <td>1868.98</td>
              <td>112.237</td>
              <td>487.33</td>
              <td>12.96˚</td>
              <td colspan="2">99,408.02</td>
            </tr>
            <tr>
              <td>CC40</td>
              <td>3,084,462</td>
              <td>565,862</td>
              <td>1818.12</td>
              <td>1866.99</td>
              <td>48.872</td>
              <td>310.5</td>
              <td>8.93˚</td>
              <td colspan="2">136,653.15</td>
            </tr>
            <tr>
              <td>CC41</td>
              <td>3,084,845</td>
              <td>564,439</td>
              <td>1581.93</td>
              <td>1680.04</td>
              <td>98.113</td>
              <td>429.5</td>
              <td>12.86˚</td>
              <td colspan="2">100,182.62</td>
            </tr>
            <tr>
              <td>CC42</td>
              <td>3,086,596</td>
              <td>561,133</td>
              <td>1503.16</td>
              <td>1559.15</td>
              <td>55.997</td>
              <td>353.25</td>
              <td>9˚</td>
              <td colspan="2">135,872.33</td>
            </tr>
            <tr>
              <td>CC43</td>
              <td>3,088,150</td>
              <td>559,374</td>
              <td>1397.12</td>
              <td>1438.10</td>
              <td>40.9755</td>
              <td>291.92</td>
              <td>8˚</td>
              <td colspan="2">147,650.63</td>
            </tr>
            <tr>
              <td>CC44</td>
              <td>3,089,873</td>
              <td>545,048</td>
              <td>1682.46</td>
              <td>1742.41</td>
              <td>59.946</td>
              <td>306.5</td>
              <td>11˚</td>
              <td colspan="2">115,805.26</td>
            </tr>
            <tr>
              <td>CC45</td>
              <td>3,088,777</td>
              <td>565,274</td>
              <td>1775.39</td>
              <td>1834.00</td>
              <td>58.604</td>
              <td>364.08</td>
              <td>9.13˚</td>
              <td colspan="2">134,438.22</td>
            </tr>
            <tr>
              <td>CC46</td>
              <td>3,085,348</td>
              <td>569,021</td>
              <td>1595.30</td>
              <td>1643.30</td>
              <td>47.998</td>
              <td>373.42</td>
              <td>7.32˚</td>
              <td colspan="2">156,533.76</td>
            </tr>
            <tr>
              <td>CC47</td>
              <td>3,054,677</td>
              <td>552,039</td>
              <td>1756.79</td>
              <td>1810.22</td>
              <td>53.429</td>
              <td>268.25</td>
              <td>11.25˚</td>
              <td colspan="2">113,557.98</td>
            </tr>
            <tr>
              <td>CC48</td>
              <td>3,087,155</td>
              <td>569,779</td>
              <td>1728.31</td>
              <td>1797.95</td>
              <td>69.634</td>
              <td>417.92</td>
              <td>9.45˚</td>
              <td colspan="2">130,993.31</td>
            </tr>
            <tr>
              <td>CC49</td>
              <td>3,088,569</td>
              <td>570,215</td>
              <td>1685.16</td>
              <td>1751.40</td>
              <td>66.242</td>
              <td>418.67</td>
              <td>9˚</td>
              <td colspan="2">135,872.33</td>
            </tr>
            <tr>
              <td>CC50</td>
              <td>3,093,824</td>
              <td>563,696</td>
              <td>1630.02</td>
              <td>1688.47</td>
              <td>58.45</td>
              <td>409.67</td>
              <td>8.11˚</td>
              <td colspan="2">146,285.00</td>
            </tr>
            <tr>
              <td>CC51</td>
              <td>3096940</td>
              <td>550922</td>
              <td>1392.49567</td>
              <td>1438.3485</td>
              <td>45.853</td>
              <td>162.71</td>
              <td>8</td>
              <td colspan="2">147,650.63</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
      <p>*All distances are in meters.</p>
      <p>Since the cone age is related to the slope angle, the volcanoes analyzed can be clustered in three groups: 1) the oldest ones (3.6˚ - 6.9˚) with ages ranging from 226,671 to 162,153 years; 2) the intermediate age cones (7˚ - 9.98˚), with ages from 161,003 to 125,536 years; and 3) the youngest ones (10.6˚ - 12.96˚), with ages from 115,805 to 99,408 years (see <xref ref-type="fig" rid="fig5">Figure 5</xref>).</p>
      <p>When analyzing the slope angles versus their corresponding geomorphometric ages, the data did not form a continuous gradient (<xref ref-type="fig" rid="fig4">Figure 4</xref>). This division into three age classes is supported by the natural clustering observed in the histogram of slope-angle frequency relationships (<xref ref-type="fig" rid="fig5">Figure 5</xref>). Having fewer or more than three classes would introduce artificial subdivisions not supported by the data distribution and would reduce the robustness of each group by producing clusters with very small sample sizes.</p>
      <fig id="fig5">
        <label>Figure 5</label>
        <graphic xlink:href="https://html.scirp.org/file/1211915-rId27.jpeg?20251211103247" />
      </fig>
      <p><bold>Figure 5.</bold> Histogram of cinder cone slope angle frequency in CVF. Colors indicate the three age groups: blue is the oldest, yellow is the intermediate, and red is the youngest.</p>
      <p>To validate the slope angles calculated from remote sensing measurements, one of the cinder cones (CC51) was measured in situ. For this cone, the calculated slope angle was 8˚, and on the field, using a Brunton compass, the angle was 8.7˚. Since this small difference (0.7˚) may be due to several factors, such as the scale of measurement, instrument precision, etc., it is necessary to calculate the slope angle using survey instrumentation to obtain more precise data.</p>
      <p>For the northernmost cinder cones of CVF, remote sensing analyses included Google Earth and drone images. The results are presented in <bold>Table 3</bold>. Just two cones were analyzed using drone imagery because access to this area is restricted and the land is privately owned. However, these two cones, being next to the road, allowed them to be measured without risking the drone or the handlers.</p>
      <p>The digital elevation models (DEMs) and Google Earth images yield similar results, whereas the drone images, in both cones, indicate an age approximately 40,000 years younger.</p>
      <p>Radiometric dating of 5 sites within the CVF (12) shows that the oldest lavas outcrop in the SW part of the volcanic field and become younger toward the NE (see <xref ref-type="fig" rid="fig1">Figure 1</xref>).</p>
      <p><bold>Table 3.</bold> Geomorphometric measurements and age calculations for 2 of the northernmost cinder cones in CVF, using 3 different types of images.</p>
      <table-wrap id="tbl3">
        <label>Table 3</label>
        <table>
          <tbody>
            <tr>
              <td>Cinder cone</td>
              <td>Lat. (UTM)</td>
              <td>Long. (UTM)</td>
              <td>Type of image</td>
              <td>Baseelevation (avg)*</td>
              <td>Maximum coneelevation (avg)*</td>
              <td>Cone height (h)*</td>
              <td>Radio*</td>
              <td>SlopeAngle (˚)</td>
              <td>Age(years)</td>
            </tr>
            <tr>
              <td>CC50</td>
              <td>3,093,824</td>
              <td>563,696</td>
              <td>DEMs</td>
              <td>1630</td>
              <td>1688.5</td>
              <td>58.5</td>
              <td>409.67</td>
              <td>8.11</td>
              <td>146,285.00</td>
            </tr>
            <tr>
              <td>
              </td>
              <td>
              </td>
              <td>
              </td>
              <td>Google Earth</td>
              <td>1370</td>
              <td>1436</td>
              <td>66</td>
              <td>559.115</td>
              <td>6.73</td>
              <td>164,937.27</td>
            </tr>
            <tr>
              <td>
              </td>
              <td>
              </td>
              <td>
              </td>
              <td>Drone</td>
              <td>1400</td>
              <td>1478</td>
              <td>78</td>
              <td>333.657</td>
              <td>13.15</td>
              <td>97,952.61</td>
            </tr>
            <tr>
              <td>CC51</td>
              <td>3,096,940</td>
              <td>550,922</td>
              <td>DEMs</td>
              <td>1392.50</td>
              <td>1438.30</td>
              <td>45.9</td>
              <td>162.71</td>
              <td>8.00</td>
              <td>147,650.63</td>
            </tr>
            <tr>
              <td>
              </td>
              <td>
              </td>
              <td>
              </td>
              <td>Google Earth</td>
              <td>1432</td>
              <td>1537</td>
              <td>105</td>
              <td>715.667</td>
              <td>8.35</td>
              <td>143,368.63</td>
            </tr>
            <tr>
              <td>
              </td>
              <td>
              </td>
              <td>
              </td>
              <td>Drone</td>
              <td>1420</td>
              <td>1510</td>
              <td>90</td>
              <td>427.1</td>
              <td>11.90</td>
              <td>107,940.95</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
      <p>*All distances are in meters.</p>
    </sec>
    <sec id="sec5">
      <title>5. Conclusions</title>
      <p>Of the approximately 300 cinder cones in CVF, only 51 could be measured using remote sensing techniques, including DEMs, Google Earth, and drone images. Only a sixth part of the cones have a preserved shape that allowed them to be measured.</p>
      <p>The geomorphometric ages were calculated using an exponential trend that correlates radiometric ages with slope angles for 3 known cinder cones from arid zones. The trend expressed an equation that permitted the calculation of the age of a cinder cone under those climatic conditions. The ages of the 51 cinder cones range from 226,671 to 99,408 years, based on DEMs and Google Earth images. The cinder cones were arranged into 3 groups: the oldest to the SW part of the volcanic field, the intermediate-age in the central part of the field, and the younger ones in the north-northeastern portion of the CVF. It coincides with the evolution of CVF, explained by previous work [<xref ref-type="bibr" rid="B12">12</xref>]. Therefore, the three-class classification represents the most coherent and geologically meaningful partition of the dataset, capturing the main phases of cone degradation and providing a consistent framework for comparative analysis.</p>
      <p>The drone images of two of the northern cones, close to the site and radiometrically dated to 0.09 Ma, yield an age of 97,952 years, while the other images yield ages of 146,000 to 164,000 years. Since the drone captured images with a spatial resolution of 9.47 cm, it can be inferred that errors are lower and calculations are more accurate; however, future work should focus on acquiring additional high-resolution drone data to validate this finding across the entire volcanic field.</p>
      <p>Geomorphometric dating can provide an initial idea of a cinder cone’s age in arid zones, but it is not a definitive age. It is recommended as a tool for obtaining preliminary dates within a young basaltic volcanic field, but absolute/radiometric dating remains the better option for reconstructing the volcanic activity history of the area.</p>
    </sec>
    <sec id="sec6">
      <title>Acknowledgements</title>
      <p>The authors gratefully acknowledge the contributions of all project members: our students (<italic>Martha Gallegos, Esmeralda Chavez, Ricardo Contreras &amp; Irlanda Ramos</italic>) and drone specialists (<italic>Aracely Lopez &amp; Fabricio Madrigal</italic>) for all their effort and for rigorous data acquisition, analytical support, and constructive discussions throughout the development of this long-term project. Their commitment to methodological precision and continuous feedback significantly strengthened the quality and scope of the study submitted here.</p>
    </sec>
  </body>
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