<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "https://jats.nlm.nih.gov/nlm-dtd/publishing/3.0/journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">soil</journal-id><journal-title-group>
    <journal-title>SOIL</journal-title>
    <abbrev-journal-title abbrev-type="publisher">SOIL</abbrev-journal-title>
  </journal-title-group><issn>2199-398X</issn><issn pub-type="discussion">2199-3998</issn><publisher>
    <publisher-name>Copernicus GmbH (Copernicus Publications)</publisher-name>
    <publisher-loc>Göttingen , Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <title-group><article-title>Weathering without realizing inorganic CO<sub>2</sub> removal revealed through base cation monitoring</article-title><alt-title>Weathering without realizing inorganic CO<sub>2</sub> removal</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Vienne</surname><given-names>Arthur</given-names></name>
          <email>arthur.vienne@uantwerpen.be</email>
        <ext-link>https://orcid.org/0000-0002-0690-2481</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Frings</surname><given-names>Patrick</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Rijnders</surname><given-names>Jet</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7896-0659</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Boito</surname><given-names>Lucilla</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3966-4501</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Hartmann</surname><given-names>Jens</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1878-9321</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Niron</surname><given-names>Harun</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5303-7024</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Poetra</surname><given-names>Reinaldy</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Estrada</surname><given-names>Miguel Portillo</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Reershemius</surname><given-names>Tom</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3512-6693</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Steinwidder</surname><given-names>Laura</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9229-1786</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff6">
          <name><surname>Suhrhoff</surname><given-names>Tim Jesper</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7934-7159</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Vicca</surname><given-names>Sara</given-names></name>
          <email>sara.vicca@uantwerpen.be</email>
        <ext-link>https://orcid.org/0000-0001-9812-5837</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Biobased Sustainability Engineering (SUSTAIN), Department of Bioscience Engineering,  University of Antwerp, Antwerp, Belgium</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>GFZ German Research Centre for Geosciences, Section Earth Surface Geochemistry,  Telegrafenberg, 14473 Potsdam, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institute for Geology, Centre for Earth System Research and Sustainability (CEN),  Universität Hamburg, Bundesstraße 55, 20146 Hamburg, Germany</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>School of Natural and Environmental Sciences, Newcastle University, Newcastle upon Tyne, UK</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Yale Center for Natural Carbon Capture, Yale University, New Haven, CT 06511, USA</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Department of Earth and Planetary Sciences, Yale University, New Haven, CT 06511, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Arthur Vienne (arthur.vienne@uantwerpen.be) and Sara Vicca (sara.vicca@uantwerpen.be)</corresp></author-notes><pub-date><day>9</day><month>April</month><year>2026</year></pub-date>
      
      <volume>12</volume>
      <issue>1</issue>
      <fpage>421</fpage><lpage>440</lpage>
      <history>
        <date date-type="received"><day>8</day><month>April</month><year>2025</year></date>
           <date date-type="rev-request"><day>15</day><month>April</month><year>2025</year></date>
           <date date-type="rev-recd"><day>11</day><month>March</month><year>2026</year></date>
           <date date-type="accepted"><day>20</day><month>March</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Arthur Vienne et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      </permissions>
      <abstract><title>Abstract</title>

      <p id="d2e241">Enhanced Weathering using basalt rock dust is a scalable carbon dioxide removal (CDR) technique, but quantifying rock weathering and CDR rates poses a critical challenge. Here, we investigated realized inorganic CO<sub>2</sub> removal (defined as the sum of the change in dissolved inorganic C leaching and in neoformed solid inorganic C) and weathering rates by treating mesocosms planted with maize with basalt (0, 10, 30, 50, 75, 100, 150 and 200 t ha<sup>−1</sup>) and monitoring them for 101 d. We observed no significant realized inorganic CO<sub>2</sub> removal, as leaching of dissolved inorganic carbon did not increase and soil carbonate content declined over time.</p>

      <p id="d2e274">To gain insights into the weathering processes, we traced the fate of base cations in the soil and plants. This analysis showed that most base cations were retained in the topsoil reducible pool, typically associated with iron (hydr)oxides, while increases in the exchangeable pool were about a factor 10 smaller. Soil base cation scavenging exceeded plant scavenging by approximately two orders of magnitude. From the base cations in all pools (soil, soil water and plants), we quantified log weathering rates of <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula> mol total alkalinity per m<sup>2</sup> basalt per s. The potential inorganic CO<sub>2</sub> removal, defined as the maximum inorganic CO<sub>2</sub> removal achievable if all weathered base cations, adsorbed by soil pools in this experiment, would leach out of the soil and be fully balanced by carbonate anions, was estimated at 26 kg CO<sub>2</sub> t<sup>−1</sup> basalt.</p>

      <p id="d2e336">In conclusion, despite clear weathering of basalt rock, we found no inorganic CO<sub>2</sub> removal within the timescale of this experiment. The observed increase of aluminum in association with the reducible soil fraction indicate the formation of secondary minerals. These, along with enhanced base cation exchange, may contribute to long-term soil fertility and promote the stabilization of soil organic matter.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e357">To meet the “well below 2 °C warming” target established by the United Nations' Paris Agreement, Carbon Dioxide Removal (CDR) must complement conventional climate change mitigation efforts (Minx et al., 2018). One CDR technology under consideration is enhanced weathering (EW). EW relies on accelerating natural weathering reactions of silicate minerals with water (H<sub>2</sub>O) and carbon dioxide (CO<sub>2</sub>) (as in Reactions R1 to R3), which increases the concentration of base cations and dissolved inorganic C (DIC) in water, delivering inorganic CO<sub>2</sub> removal. In this study, rather than aiming to quantify a full greenhouse gas budget, we focus on DIC export from soils to the ocean. This pathway is considered the most durable form of carbon sequestration, storing C on timescales exceeding those required for climate change mitigation (Renforth and Henderson, 2017; Berner, 1991).</p>
      <p id="d2e387">DIC (the sum of aqueous [CO<sub>2</sub>], [HCO<inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>] and [CO<inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>]) can either be measured directly or estimated indirectly from total alkalinity (TA) or electrical conductivity, which are less expensive to monitor and can be empirically linked with DIC through calibration curves (Amann and Hartmann, 2022) (see also Fig. S10). This calibration is feasible because, according to the explicit conservative expression for TA in water, <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mi mathvariant="normal">TA</mml:mi><mml:mo>=</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">HCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow><mml:mo>]</mml:mo><mml:mo>-</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> (Bijma et al., 2026; Wolf-Gladrow et al., 2007). TA can also be approximated from the sum of base cation charges, minus the sum of conservative anion charges (e.g. chloride, sulphate, phosphate, nitrate) (Barker, 2013; Wolf-Gladrow et al., 2007). DIC can also precipitate as soil inorganic carbon (SIC) in the form of solid carbonates, thereby losing half of the initially captured CO<sub>2</sub> (Reaction R4) (Haque et al., 2019). Inorganic CO<sub>2</sub> removal can be defined as the sum of changes in DIC leaching from a soil system after rock amendment plus the change in solid inorganic C (SIC) within the soil system after rock amendment. A robust and reliable accounting of Inorganic CO<sub>2</sub> removal must thus include both monitoring of DIC leaching and SIC changes. 

              <disp-formula specific-use="gather" content-type="numbered reaction"><mml:math id="M23" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.R1"><mml:mtd><mml:mtext>R1</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Mg</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SiO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">HCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SiO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Mg</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">olivine</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">weathering</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R2"><mml:mtd><mml:mtext>R2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Ca</mml:mi><mml:mn mathvariant="normal">0.5</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Na</mml:mi><mml:mn mathvariant="normal">0.5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Al</mml:mi><mml:mn mathvariant="normal">1.5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Si</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">8</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">HCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:mrow class="chem"><mml:mi mathvariant="normal">Al</mml:mi></mml:mrow><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SiO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">plagioclase</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>(</mml:mo><mml:mi mathvariant="normal">labradorite</mml:mi><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">weathering</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R3"><mml:mtd><mml:mtext>R3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">MgCaSi</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">6</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">HCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SiO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">pyroxene</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>(</mml:mo><mml:mi mathvariant="normal">diopside</mml:mi><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">weathering</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R4"><mml:mtd><mml:mtext>R4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">HCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

        EW is an attractive CDR technology for several reasons. First, EW may provide long-lived to permanent CO<sub>2</sub> sequestration: if fixed, DIC is transported via rivers or groundwater to oceans where it may not be released back into the atmosphere for millennia, the timescale needed for oceanic carbonate precipitation, which would release 50 % of the DIC input back into the atmosphere (Reaction R4) (Renforth and Henderson, 2017). Secondly, rock dust amendment has the potential to improve soil fertility and counters soil acidification (Swoboda et al., 2021; Van Straaten, 2006). Thirdly, unlike some other CDR technologies (such as bio-energy with carbon capture and storage or afforestation), EW avoids competition for land with food production (Fuss et al., 2018; Janssens et al., 2022; Smith et al., 2016). Although several rock types are considered for EW, basalt is typically used in EW field trials and has several advantages. Basalt has relatively high base cation content, particularly of calcium (Ca) and magnesium (Mg), which translates into a high potential for CO<sub>2</sub> removal (Renforth, 2019). Additionally, basalt is composed of mafic silicate minerals such as plagioclases, pyroxene, and olivine, known for their relatively high weathering rates (Wr). Furthermore, basalt formations are abundant, widely distributed and close to major economies, making the adoption of EW using basalt scalable. Importantly, basalt is safer for agricultural application compared to ultramafic rocks like dunite due to its lower content of heavy metals such as nickel (Ni) and chromium (Cr) (Beerling et al., 2020).</p>
      <p id="d2e975">Despite the great potential of terrestrial EW and substantial attention by industry in recent years, monitoring rock weathering and CDR is challenging. Quantification of Inorganic CO<sub>2</sub> removal by EW has often focussed on tracking DIC or alkalinity leaching in porewaters (Holzer et al., 2023; McDermott et al., 2024). However, it is also important to consider DIC in exported soil water (leachates) (Larkin et al., 2022) as changes in DIC during soil water transport are well-established. Numerous studies demonstrated that soil water movement and pH strongly govern DIC dynamics, both in soil research (Öquist et al., 2009; Schindlbacher et al., 2019) and in EW research (Dietzen et al., 2018; Niron et al., 2024; Reynaert et al., 2023; Vienne et al., 2024).</p>
      <p id="d2e987">Focusing solely on changes in DIC and SIC may however overlook other critical soil processes that impact CDR. Besides the carbonate soil pool, other solid soil pools can also extract base cations from solution (Fig. 1). These pools (temporarily) trap base cations, preventing DIC leaching and could stabilize soil organic matter (SOM) (Buss et al., 2024). Here, we trace the fate of cations in four different soil pools, to gain better estimates of Wrs and CDR.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e993">Schematic representation of aluminosilicate rock weathering and four soil pools that scavenge base cations (<inline-formula><mml:math id="M27" display="inline"><mml:mo lspace="0mm">=</mml:mo></mml:math></inline-formula> alkalinity): exchangeable pool, carbonate pool, reducible pool and oxidizable pool. Because of charge balance, uptake of base cations by these pools releases H<sup>+</sup> that can reconvert bicarbonate (HCO<inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) (that was a priori generated from CO<sub>2</sub> through weathering) into CO<sub>2</sub>. Cat<inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M33" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> one divalent base cation or two monovalent base cations. In each corner, in blue, the significance for CDR is indicated for each of the soil pools. Realized CDR (100 %) means that all alkalinity produced by mineral weathering is fully leached from the soil, achieving the maximum possible inorganic CO<sub>2</sub> removal for that amount of weathering. In contrast, Realized CDR (50 %) accounts for pedogenic carbonate formation (e.g., Reaction R4), where half of the alkalinity released by weathering is consumed locally, reducing the inorganic CO<sub>2</sub> removal by 50 %.</p></caption>
        <graphic xlink:href="https://soil.copernicus.org/articles/12/421/2026/soil-12-421-2026-f01.png"/>

      </fig>

      <p id="d2e1084">Tracing base cations in soils can be done based on the established methodology of Tessier et al. (1979) in which cations are partitioned into four operationally defined soil pools; the exchangeable pool, the carbonate pool, the reducible pool and the oxidizable pool. First, in the exchangeable soil pool, cations interact with negatively charged clay or SOM surfaces. Exchangeable pool cations form relatively weak chemical bounds in a diffuse layer or with outer-sphere interactions (Blume et al., 2016). Secondly, the carbonate pool contains carbonates such as calcium carbonate (CaCO<sub>3</sub>) and the C in this pool is reported as SIC. The detection of changes in SIC in basalt amended soils in short-duration experiments is typically challenging (Kelland et al., 2020; Vienne et al., 2022). Focusing on carbonate base cations may avoid typical issues with C heterogeneity and detection of relatively small SIC changes.</p>
      <p id="d2e1096">Thirdly, Tessier et al. (1979) operationally defined a reducible soil pool where base cations are associated with iron (Fe) and manganese (Mn) (hydr)oxides. Dzombak and Morel (1990) modelled adsorption of Mg to hydrous ferric oxides (FeO(OH)), in which a surface hydroxyl group loses a proton and is replaced by a magnesium ion (FeOOH <inline-formula><mml:math id="M37" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> Mg<inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M39" display="inline"><mml:mo>⇔</mml:mo></mml:math></inline-formula> FeOMg<sup>+</sup> <inline-formula><mml:math id="M41" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> H<sup>+</sup>) and thereby decreases solute TA. Fourth, the oxidizable pool where cations are bound to SOM or sulfides.</p>
      <p id="d2e1151">In the fourth soil pool considered here, the oxidizable pool, SOM can form strong bounds with cations after deprotonation (Kalinichev et al., 2011; Tipping and Hurley, 1992). SOM can thus scavenge cations in both the exchangeable and oxidizable pool. The binding strength between SOM and a cation determines whether the cation resides in the exchangeable or oxidizable pool (as graphically schematized in Blume et al., 2016, Fig. 5.6). Cations in the oxidizable pool are expected to chemically stabilize organic matter due to strong cation bridging and inhibition of decomposing enzymes (Rowley et al., 2018).</p>
      <p id="d2e1154">In conclusion, base cations in these soil pools could decrease solute TA after proton release and hence degas DIC while potentially stabilizing SOM. Last, besides soil pools, also plants can scavenge base cations from solution. Base cations that go to the plant pool can be recycled to the aqueous phase, either through decomposition of plants in the field or through the food chain and sewage system, further complicating base cation mass balancing.</p>
      <p id="d2e1158">The undesirable side-effect of base cation scavenging (by plant/soil pools) is the release of protons to maintain charge balance. This release of protons converts negatively charged DIC (HCO<inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>and carbonate anions (CO<inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>)) to H<sub>2</sub>CO<sub>3</sub>, which is in equilibrium with gaseous CO<sub>2</sub> (CO<inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M49" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> H<sup>+</sup> <inline-formula><mml:math id="M51" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> HCO<inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and HCO<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M54" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> H<sup>+</sup> <inline-formula><mml:math id="M56" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> H<sub>2</sub>CO<sub>3</sub> <inline-formula><mml:math id="M59" display="inline"><mml:mo>⇔</mml:mo></mml:math></inline-formula> H<sub>2</sub>O <inline-formula><mml:math id="M61" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> CO<inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>g</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>). Hence, inorganic CO<sub>2</sub> removal can be reversed during temporary storage of base cations and realized again when base cations are released back from soil and plant pools into the aqueous phase.</p>
      <p id="d2e1372">From base cations in plant and soil pools, we can thus calculate a “potential inorganic CO<sub>2</sub> removal”, a terminology proposed by Steinwidder et al. (2025). This is a maximum quantity of Inorganic CO<sub>2</sub> removal that can be achieved when all cations released through silicate weathering are charge-balanced by bicarbonate/carbonates and leached from soils. Base cation retention in different soil pools results in a temporal decoupling between weathering and inorganic CO<sub>2</sub> removal. The timeframe in which the potential inorganic CO<sub>2</sub> removal can be achieved is a major uncertainty in EW (Kanzaki et al., 2025). For weakly bound exchangeable cations, potential inorganic CO<sub>2</sub> removal may be achieved in the relative short term of decades. Within this timeframe, because of stronger binding strengths, reducible and oxidizable base cations are more unlikely to be released and thus deliver inorganic CO<sub>2</sub> removal. Last, inorganic CO<sub>2</sub> removal is only achieved if the weathering agent that induced the weathering was H<sub>2</sub>CO<sub>3</sub> (as in Reactions R1–R3). If the weathering agent is another acid (e.g. nitric acid (HNO<sub>3</sub>) from fertilizers), no inorganic CO<sub>2</sub> removal occurs within the soil (McDermott et al., 2024; Taylor et al., 2021).</p>
      <p id="d2e1475">In a mesocosm experiment with basalt rock powder addition, we aimed to accurately quantify the Wr and potential inorganic CO<sub>2</sub> removal through quantification of base cations in the four abovementioned soil pools, soil water and maize plants. Tracing the fate of alkalinity after its generation by the weathering of primary minerals is key to accurately quantify basalt Wrs. Here, we make a mass balance after 101 d of experiment, investigate the fate of base cations through exploration of sequential extractions as a monitoring strategy for weathering and study implications for C sequestration.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Experimental set-up</title>
      <p id="d2e1502">A mesocosm experiment with 30 mesocosms was constructed at the experimental site at the Drie Eiken Campus of the University of Antwerp (Belgium). This experiment was part of a larger mesocosm experiment that aimed to investigate heavy metal fate and plant biomass in silicate amended maize plants (Rijnders et al., 2025). The mesocosms (0.6 m height, radius <inline-formula><mml:math id="M76" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.25 m) received natural rainfall and received additional water through manual irrigation (Fig. S2). In May 2021, the lower 40 cm of each mesocosm was filled with a slightly acidic sandy loam soil (Table 1).</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e1515">Properties of control soil. <inline-formula><mml:math id="M77" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula> % <inline-formula><mml:math id="M78" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> weight percent<sup>a</sup>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="3cm"/>
     <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>
         <oasis:entry rowsep="1" namest="col1" nameend="col2" align="center">Control soil properties </oasis:entry>
         <oasis:entry colname="col3" align="left">Number of replicates</oasis:entry>
         <oasis:entry colname="col4" align="left">Measuring method</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">pH</oasis:entry>
         <oasis:entry colname="col2" align="left"><inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.66</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3" align="left"><inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> (before addition soil to pots)</oasis:entry>
         <oasis:entry colname="col4" align="left">(in a soil: water suspension (<inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula>))</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Texture (Sand, clay, silt <inline-formula><mml:math id="M95" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula> %)</oasis:entry>
         <oasis:entry colname="col2" align="left">Sandy loam (61, 4, 35 <inline-formula><mml:math id="M96" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula> %)</oasis:entry>
         <oasis:entry colname="col3" align="left"><inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> (before addition soil to pots)</oasis:entry>
         <oasis:entry colname="col4" align="left"><sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Soil organic C (SOC) (<inline-formula><mml:math id="M99" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula> %)</oasis:entry>
         <oasis:entry colname="col2" align="left"><inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.53</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3" align="left"><inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> (0–20 cm)</oasis:entry>
         <oasis:entry colname="col4" align="left"><sup>c</sup></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">SIC (<inline-formula><mml:math id="M103" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula> %)</oasis:entry>
         <oasis:entry colname="col2" align="left"><inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.0031</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0002</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3" align="left"><inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> (0–20 cm)</oasis:entry>
         <oasis:entry colname="col4" align="left">carbonate extraction (see Eq. S4)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Cation exchange capacity (CEC) (meq/100 g)</oasis:entry>
         <oasis:entry colname="col2" align="left"><inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.03</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.11</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3" align="left"><inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mn mathvariant="normal">15</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> (3 depths <inline-formula><mml:math id="M108" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 5 control pots)</oasis:entry>
         <oasis:entry colname="col4" align="left">Brown (1943)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Base saturation (%)</oasis:entry>
         <oasis:entry colname="col2" align="left"><inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mn mathvariant="normal">50</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3" align="left"><inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mn mathvariant="normal">15</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> (3 depths <inline-formula><mml:math id="M111" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 5 control pots)</oasis:entry>
         <oasis:entry colname="col4" align="left">Brown (1943)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Bulk density (BD) (kg L<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col2" align="left"><inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.58</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3" align="left"><inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mn mathvariant="normal">14</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>–20, <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula>–30, <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula>–50 cm)</oasis:entry>
         <oasis:entry colname="col4" align="left">Sampling soil cores (100 cm<sup>3</sup>, 5 cm length  <inline-formula><mml:math id="M119" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 20 cm<sup>2</sup>). And weigh after drying soil at 70 °C for 48 h</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left">Fe-(hydr)oxide  (mg Fe g<sup>−1</sup> soil)</oasis:entry>
         <oasis:entry colname="col2" align="left"><inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.13</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3" align="left"><inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mn mathvariant="normal">12</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>–20, <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula>–30, <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula>–50 cm)</oasis:entry>
         <oasis:entry colname="col4" align="left"><sup>d</sup></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup>

</oasis:table><table-wrap-foot><p id="d2e1541"><sup>a</sup> Reported values represent the average <inline-formula><mml:math id="M81" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> standard error (SE) of control soil after the experimental period of 101 d unless stated otherwise. <sup>b</sup> 40 g of air dried soil was shaken for 18 h with 100 mL of 50 g L<sup>−1</sup> sodium hexametaphosphate solution, sieved over 63 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m to separate sand from silt <inline-formula><mml:math id="M85" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> clay. The same was done for a blank. The sieved solutions (sample and blank) were diluted with deionized water to one liter and after 6 h density and temperature were measured. Clay <inline-formula><mml:math id="M86" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> (density (sample) <inline-formula><mml:math id="M87" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> density (blank))/sample mass and silt <inline-formula><mml:math id="M88" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 100 %-sand %-clay %. <sup>c</sup> Determined through loss on ignition (4 h heating at 360 °C and assuming a SOC <inline-formula><mml:math id="M90" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> SOM ratio of 0.58; Van Bemmelen, 1890). <sup>d</sup> Estimation of the Fe (hydr)oxide content for control soil based on Fe in the reducible pool (method of extraction: see Table 3).</p></table-wrap-foot></table-wrap>

      <p id="d2e2134">The upper 20 cm was filled with the same soil, either unamended in the control treatment (five mesocosms), or amended with basalt (Fig. 2). Five mesocosms received 50 t basalt per ha, while six others received different amounts of basalt, ranging between 10 and 200 t ha<sup>−1</sup> (Table 2). The basalt was mixed homogenously in the control soil using a concrete mixer. Basalt was obtained from DURABAS (<uri>https://www.rpbl.de</uri>, last access: 25 March 2026). Particle size distribution (PSD) was analyzed using a mastersizer 2000 with a Hydro 2000G sample dispersion unit after removing larger particles with a 2 mm sieve. The P80 was 310.78 <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m (see Fig. S5). The specific surface area (SSA) was determined with a Quantachrome Autosorb iQ using the Braunauer–Emmet–Teller (BET) method. The measurement used nitrogen gas as adsorbate with multi-point (5 points) and isotherm (77 K) settings. Samples with the same treatment were pooled in equal quantities into one sample to reduce the cost and time for analysis. All samples were degassed at 300 °C with 200 min of soak time. High measurement quality was ensured by frequent reference measurements (Bundesanstalt für Materialforschung und -prüfung, Germany) in addition to three technical repetitions for each measurement. The BET-SSA of the basalt rock was <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.226</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula> m<sup>2</sup> g<sup>−1</sup>. X-ray diffraction (XRD) and x-ray fluorescence (XRF) analyses are provided in the Supplement.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e2197">Overview of experimental set-up and measurements.</p></caption>
          <graphic xlink:href="https://soil.copernicus.org/articles/12/421/2026/soil-12-421-2026-f02.png"/>

          
        </fig>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e2211">Overview of basalt application rates. The 0 and 50 t basalt per ha application rates were replicated in five mesocosms, while other application rates were only tested in one mesocosm. We added these replicates within individual application rates to learn about the variability between mesocosms receiving the same treatment.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:colspec colnum="7" colname="col7" align="center"/>
     <oasis:colspec colnum="8" colname="col8" align="center"/>
     <oasis:colspec colnum="9" colname="col9" align="center"/>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Ton silicate per ha (replications)</oasis:entry>
         <oasis:entry colname="col2">0 (<inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">10</oasis:entry>
         <oasis:entry colname="col4">30</oasis:entry>
         <oasis:entry colname="col5">50 (<inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col6">75</oasis:entry>
         <oasis:entry colname="col7">100</oasis:entry>
         <oasis:entry colname="col8">150</oasis:entry>
         <oasis:entry colname="col9">200</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e2292">Basalt was mixed into the top soil on 17 May 2021. To allow leachate collection, mesocosms had a 2 cm diameter hole at the bottom. On the inside, the bottom of the pot was covered with a root exclusion mesh to prevent soil export. Glass collectors (2.3 L volume) were placed under the mesocosm to collect the leachates. Leachate volumes were determined throughout the experiment and were collected for chemical analyses on seven occasions. On 3 June 2021, two sweet maize seedlings (variety Tom Thumb) were planted in each the mesocosms and all pots received fertilization with nitrogen (N), phosphorus (P) and potassium (K) (96–10–79) kg ha<sup>−1</sup> by adding Ca nitrate (Ca(NO<sub>3</sub>)<sub>2</sub>), triple super phosphate (TSP, 45 % P<sub>2</sub>O<sub>5</sub>) and potassium sulfate (K<sub>2</sub>SO<sub>4</sub>). The experimental duration was 101 d; plants were harvested on 26 August 2021.</p>
      <p id="d2e2362">Soil water content and temperature were recorded using Cambell Scientific sensors (CS616) that are 30 cm in length. Watering (using rain water collected from a tank) was executed manually and total water manual inputs were tracked. In addition, daily precipitation amounts (in mm) were obtained for Wilrijk (Belgium) using the open source tool (<uri>https://www.visualcrossing.com/</uri>, last access: 25 March 2026). In the Supplement, an overview of environmental conditions (rainfall, total water inputs, temperature and soil moisture) is given.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Leachate and pore water analysis</title>
      <p id="d2e2376">Weekly pore water sampling was performed with rhizons (Rhizon Flex, Rhizosphere Research Products B.V., Wageningen, the Netherlands) installed at 5 cm depth in each mesocosm. Leachate and porewater samples were filtered through a 0.45 <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m PET filter. The major cations (Ca, Mg and K) were measured through ICP-OES (iCAP 6300 duo, Thermo Scientific). Na was not directly measured in soil water samples; however, its charge contribution is accounted for indirectly in the measured soil water alkalinity. Before analysis, ICP samples were conserved using 1.5 mL (HNO<sub>3</sub> 69 %) per 30 mL sample. TA was determined using a SAN<inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> continuous flow analyzer (Skalar – NLD). The pH was measured using a HI3220 pH/ORP meter. Dissolved organic carbon (DOC) and DIC were measured using a FormacsHT with LAS sampler (Skalar – NLD). DIC and DOC were measured on eight and 12 occasions in leachates and pore water respectively.</p>
      <p id="d2e2406">Two quality control (QC) standards were analyzed for individual elements (Ca, K, Mg, sodium (Na), silicon (Si) and Fe). The mean precision of the QC standards was 0.84 %, 1.12 %, 0.54 %, 2.79 %, 1.67 % and 1.30 % for the respective elements. The mean accuracy for the two QC standards was 1.87 %, 2.30 %, 0.17 %, 1.88 %, 1.39 % and 2.65 % for Ca, K, Mg, Na, Si and Fe respectively. For TA soil water samples, mean accuracy and precision for two different QC standards were 1.51 % and 1.72 % respectively. The DIC measurements with FormacsHT had an accuracy and precision 1.09 % and 0.23 % respectively. Accuracy and precision were determined based on 12 measurements of a QC for TA (standards: 150 and 350 mg CaCO<sub>3</sub> L<sup>−1</sup>) and DIC (range between 10 and 100 mg L<sup>−1</sup>) and based on eight measurements of two different QC concentrations for each individual element.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Soil collection and pretreatment</title>
      <p id="d2e2451">Top soil pH was measured on five dates. To determine top soil pH, 4 g of air dried topsoil sample was dissolved in 10 mL deionized water and shaken before pH measurement using a HI3220 pH/ORP meter (Hanna Instruments, Temse, Belgium). After harvesting, soils were sampled using cylindrical soil cores (100 cm<sup>3</sup>, 5 cm length <inline-formula><mml:math id="M149" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 20 cm<sup>2</sup>). Samples were taken across the depth of the mesocosm and three sampling depths were considered (0–20, 20–30, 30–50 cm). One sample was taken for each depth and mesocosm. The cores were dried at 70 °C for 48 h to determine water content (g H<sub>2</sub>O/g soil) and bulk density. An additional soil sample was taken at each depth, dried at 70 °C for 48 h and used for chemical analyses after sieving over a 2 mm sieve, removing the majority of the root biomass. Estimated base cations in sieved-off roots were negligible relative to soil pools and thus excluded from our main cation budget.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Sequential base cation extractions</title>
      <p id="d2e2496">As conceptualized by Tessier et al. (1979), base cations can reside in four different soil pools: the exchangeable pool (cations weakly bound to SOM or clays), the carbonate pool (cations bound in pedogenic carbonates), the reducible pool (cations bound to Al/Mn/Fe hydr(oxide)) and the oxidizable pool (cations strongly bound to SOM). SOM bound to cations, extracted with weak salt solutions in the exchangeable pool typically has a low turnover time (Poeplau et al., 2018) and is therefore thought to be more susceptible to microbial decomposition than oxidizable SOM.</p>
      <p id="d2e2499">We adapted the original Tessier scheme by replacing 1 M magnesium chloride with 1 M ammonium acetate (NH<sub>4</sub>(CH<sub>3</sub>COO)) for extraction of the exchangeable pool, in order to be able to measure all base cations in the exchangeable pool (Table 3). Likewise, Na-acetate was replaced with a mixture of acetic acid and water to be able to measure Na in the carbonate pool. We quantified SIC changes from the base cations in these acetic acid extracts (as in Larkin et al., 2022) (see also Eq. S4). Additionally, three other SIC measurement techniques were explored to compare the sensitivity of detecting SIC changes after amending with a range of basalt (see Sect. S3.7).</p>

<table-wrap id="T3" specific-use="star"><label>Table 3</label><caption><p id="d2e2524">Overview of sequential extraction method (extraction time, temperature, conditions, volume of extractants and chemical composition of extractants).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="3.5cm"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="6.5cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Extraction scheme</oasis:entry>
         <oasis:entry colname="col2" align="left">Extraction scheme adapted  Tessier et al. (1979)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Pool 1: Exchangeable pool</oasis:entry>
         <oasis:entry colname="col2" align="left">10 mL 1 M NH<sub>4</sub>(CH<sub>3</sub>COO) 1 h, 20 °C, shaker  <inline-formula><mml:math id="M156" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> centrifuge <inline-formula><mml:math id="M157" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> sample</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Pool 2: Carbonate pool</oasis:entry>
         <oasis:entry colname="col2" align="left">5 mL 1 M acetic acid (2 h, 20 °C, shaker)  <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> mL H<sub>2</sub>O  <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> mL 3 M NH<sub>4</sub> Acetate <inline-formula><mml:math id="M162" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> sample</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Pool 3: Reducible pool</oasis:entry>
         <oasis:entry colname="col2" align="left">20 mL 0.04 M hydroxylamine (NH<sub>2</sub>OH.HCl) in 25 % (<inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mi>v</mml:mi><mml:mo>/</mml:mo><mml:mi>v</mml:mi></mml:mrow></mml:math></inline-formula>) acetic acid (pH 2) 6 h, 96 °C, heat bath</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left">Pool 4: Oxidizable pool</oasis:entry>
         <oasis:entry colname="col2" align="left">3 mL 0.02 M HNO<sub>3</sub> <inline-formula><mml:math id="M166" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 5 mL 30 % peroxide (H<sub>2</sub>O<sub>2</sub>) (to pH 2 with HNO<sub>3</sub>): 2 h, 85 °C, heat bath  <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> mL 30 % H<sub>2</sub>O<sub>2</sub> (to pH 2 with HNO<inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> 3 h, 85 °C, heat bath  <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> mL 3.2 M NH<sub>4</sub>(CH<sub>3</sub>COO) (in 20 vol % HNO<sub>3</sub>)  <inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> mL H<sub>2</sub>O 0.5 h, 20 °C, shaker</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e2866">Prior to extractions, approximately 1 g of soil was air dried. We also conducted the extractions for the pure basalt that was initially added to the mesocosms to be able to correct for the cations that were initially already present as exchangeable, carbonate, reducible and oxidizable pool cations. After each extraction, samples were centrifuged for 2 min at 2000 rpm, supernatants were collected for analysis. The remaining soil pellet after centrifugation was washed with 10 mL of demineralized water before the following step. Relevant elements (K, Na, Mg, Ca, Al, Fe and Si) were measured in each pool using ICP-OES (iCAP 6300 duo, Thermo Scientific) for each pool. Si was only assessed in the reducible pool and in the oxidizable pool to investigate whether Si forms amorphous oxides or allophane-like compounds or binds with organic matter. Al carbonates were not quantified here as naturally these carbonates are not commonly formed (Takaya et al., 2019).</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Plant responses</title>
      <p id="d2e2878">On 26 August 2021 (101 d after basalt amendment in soils), the aboveground biomass was harvested and dried for 48 h at 70 °C to determine dry weight. For the results on root biomass we refer to Rijnders et al. (2025). Plant material was ground with an ultra-centrifugal mill (Model ZM 200, Retsch GmbH, Haan, Germany). Base cations (Ca, Mg and K) were measured through ICP-OES (iCAP 6300 duo, Thermo Scientific) in aboveground biomass to calculate plant base cation stocks. Na was not measured in aboveground biomass, because the amount of weathered base cations accumulated in plants is relatively small compared to that in soils, we do not expect this omission to substantially affect our results. Base cations were measured separately in all aboveground biomass parts: stems, leaves, flowers and maize ears.</p>
</sec>
<sec id="Ch1.S2.SS6">
  <label>2.6</label><title>Calculation of Wr and potential inorganic CO<sub>2</sub> removal</title>
      <p id="d2e2900">We use the delta (<inline-formula><mml:math id="M181" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>) symbol to denote the difference relative to unamended control soil. Accordingly, we quantify <inline-formula><mml:math id="M182" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>TA (the change in total alkalinity in the basalt-amended soil relative to the control) based on the difference in base cation concentrations between amended and unamended soils. As basalt only contains cations and no conservative anions, we assume that <inline-formula><mml:math id="M183" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>TA can be quantified from the change in base cation charges (Eq. 1). 

            <disp-formula id="Ch1.E5" content-type="numbered"><label>1</label><mml:math id="M184" display="block"><mml:mrow><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">TA</mml:mi><mml:mo>≈</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>⋅</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">Mg</mml:mi></mml:mrow></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">Na</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">conservative</mml:mi></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="normal">anions</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">with</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">Δ</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">conservative</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">anions</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math></disp-formula>

          We thus use a base cation accounting approach as also proposed by Bijma et al. (2026) and explicitly assume no changes in conservative anions after basalt amendment. Still, nitrogen cycling processes (nitrification and denitrification) may be sensitive to soil chemistry and may therefore differ between treatments. Further research is needed to verify whether conservative anions such as nitrates and phosphates are affected by rock amendment.</p>
      <p id="d2e3007">The Wr corresponds to the rate of rock dissolution. The Wr can be expressed per element or as moles of alkalinity equivalents (i.e. the sum of base cation charges (Eq. 1) per amount of rock surface area per unit of time (in mol m<sup>−2</sup> rock per s). In addition, we calculate a “potential inorganic CO<sub>2</sub> removal”. We use the same definition for potential inorganic CO<sub>2</sub> removal as in Steinwidder et al. (2025). A “potential inorganic CO<sub>2</sub> removal” can be defined as the maximum amount of inorganic CO<sub>2</sub> that could be removed if all experimentally determined, weathered, soil-retained base cations were to leach from the soil and be completely balanced by carbonate anions. Potential inorganic CO<sub>2</sub> removal was previously named “CDR potential” by Niron et al., 2024). The concept of CDR potential was first introduced by Renforth (2019) to describe the maximum inorganic CO<sub>2</sub> removal achievable if all base cations within a rock were to completely weather. More recently, Beerling et al. (2024) quantified base cation losses from topsoils using an immobile/mobile tracer approach (see Sect. 4.2), from which they also derived a measure of CDR potential. To maintain conceptual clarity, we avoid using the term CDR potential for purposes other than its original definition by Renforth (2019). When the term is employed, its meaning should always be explicitly stated.</p>
      <p id="d2e3077">To calculate the Wr (from all base cation increases relative to controls in plants, extracted soil fractions and soil water leachates), we sum changes in TA in the following pools: exported soil water (leachates), plants and soil pools. Weathering rates are uncertain due to variability in soil cation pools considered, potential underestimation from unextractable base cations in secondary minerals and methodological limitations in detecting all weathering products. We can express changes in the cation pool of each reservoir as the equivalent Wr required to supply the cations (Wr<sub>leachate</sub>, Wr<sub>plant</sub> and Wr<sub>soil</sub>) (Eq. 2). Conventionally Wrs are expressed using a logarithmic scale as absolute values can vary strongly. 

            <disp-formula id="Ch1.E6" content-type="numbered"><label>2</label><mml:math id="M195" display="block"><mml:mrow><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi>log⁡</mml:mi></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mi mathvariant="normal">Wr</mml:mi><mml:mfenced close="]" open="["><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">TA</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">rock</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">per</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mi>log⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">TA</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msub><mml:mi mathvariant="normal">TA</mml:mi><mml:mi mathvariant="normal">plant</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">TA</mml:mi><mml:mi mathvariant="normal">leachate</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">rock</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">per</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math></disp-formula>

          We used a gradient of rock applications, where we calculated the slope of the molar change in base cation charges (expressed as an equivalent “alkalinity” change if these base cations were dissolved in water) with higher rock amendment (TA slope) (Fig. 3). We compared logarithmic and linear regression and selected the linear regression approach, as both approaches had comparable <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and Akaike Information Criterion (AIC) values and linear slopes ease further data processing (Fig. S23 and Table S5). We opted for the linear regression approach to simplify subsequent calculations. To make our gradient approach more robust, we also calculated the <inline-formula><mml:math id="M197" display="inline"><mml:mi>log⁡</mml:mi></mml:math></inline-formula> Wr for individual application rates in Fig. S13.</p>

      <fig id="F3"><label>Figure 3</label><caption><p id="d2e3238">Illustration of the calculation of TA slope: alkalinity scavenging by a given pool was plotted in function of the applied basalt, and the resulting slope was used to quantify the weathering rate (Wr). This figure is an example regression with data for the top soil exchangeable pool. All regressions can be found in Fig. S22. Normalizing for mean control alkalinity equivalents before regression shifts the intercepts in Fig. S22 but does not affect the slope, preserving the relationship between basalt addition and the response variable (Gelman and Hill, 2007).</p></caption>
          <graphic xlink:href="https://soil.copernicus.org/articles/12/421/2026/soil-12-421-2026-f03.png"/>

        </fig>

      <p id="d2e3247">Then we converted units of the alkalinity slope for increasing rock application (TA slope) per unit of rock mass to moles of alkalinity per rock surface area and per time (Eq. 3). Equation (3) was used to calculate <inline-formula><mml:math id="M198" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>mol TA m<sup>−2</sup> per rock per s of base cations in leachates, plants and of every measured soil pool at every soil depth. 

            <disp-formula id="Ch1.E7" content-type="numbered"><label>3</label><mml:math id="M200" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">TA</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">rock</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">per</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Scavenged</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">alkalinity</mml:mi><mml:mo>(</mml:mo><mml:mo>=</mml:mo><mml:mi mathvariant="normal">TA</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">slope</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mfenced close="]" open="["><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">TA</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">rock</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="normal">Experimental</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">duration</mml:mi><mml:mo>[</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>]</mml:mo><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">SSA</mml:mi><mml:mi mathvariant="normal">silicate</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mfenced close="]" open="["><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">surface</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">area</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">rock</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          <inline-formula><mml:math id="M201" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>mol TA m<sup>−2</sup> per rock per s was thus quantified per pool, based on the change in base cations in the basalt treatment compared to the control treatment. For plants, we calculate TA slope through regression of harvested base cations with basalt application. Harvested base cations were calculated as the product of harvested aboveground biomass and their base cation content. Charge contributions of Na were not included; Na was not quantified at the time of plant biomass elemental analysis, which may lead to an underestimation of the alkalinity equivalent increase in the plant pool. However, given that base cation charges in the plant pool were about two orders of magnitude smaller than in the soil pool, we expect the effect of this omission to be limited. In addition, maize plants aim to actively increase their K/Na ratio which avoids salt stress, the K content of maize shoots is typically about 2 orders of magnitude larger than Na (Gao et al., 2016; Suarez and Grieve, 1988). For leachates, TA slope was calculated as the product of mean cumulative leachate volume and mean leachate TA concentration for each application rate and regressing them with the applied basalt as dependent variable.</p>
      <p id="d2e3414">Finally, the Wr attributable to the change in cation content of the soil pools (Wr<sub>soil.</sub>) was calculated by summing the Wr<sub>soil_layer_k_pool_j</sub> for each pool and depth (Eq. 4). Here, we sum changes in all pools of the topsoil (0–20 cm) and lower depths (20–30 and 30–50 cm) to obtain an aggregate value for Wr<sub>soil.</sub> with Wr<sub>soil,layer <italic>k</italic>,fraction <italic>j</italic></sub> calculated as in Eq. (4) (with <inline-formula><mml:math id="M207" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M208" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> the number of depths and <inline-formula><mml:math id="M209" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M210" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> the number of considered soil pools). TA slope at every depth and soil pool was calculated as in Eq. (5).

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M211" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E8"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:msub><mml:mi mathvariant="normal">Wr</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">3</mml:mn></mml:munderover><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">4</mml:mn></mml:munderover><mml:msub><mml:mi mathvariant="normal">Wr</mml:mi><mml:mrow><mml:mi mathvariant="normal">soil</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">layer</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>k</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">pool</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E9"><mml:mtd><mml:mtext>5</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="normal">scavenged</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">TA</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">TA</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">slope</mml:mi><mml:mo>)</mml:mo><mml:mfenced close="]" open="["><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">rock</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">TA</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">dry</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">Soil</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Amended</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">Soil</mml:mi><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">TA</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">dry</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">Soil</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>(</mml:mo><mml:mi mathvariant="normal">control</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">Soil</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Application</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">rate</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Amended</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">soil</mml:mi><mml:mo>)</mml:mo><mml:mfenced close="]" open="["><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">rock</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">ground</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">area</mml:mi></mml:mrow></mml:mfenced><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">Bulk</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">Density</mml:mi><mml:mfenced close="]" open="["><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">dry</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">Soil</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">soil</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">thickness</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">soil</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">layer</mml:mi><mml:mo>[</mml:mo><mml:mi mathvariant="normal">m</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          Equivalents of soil retained base cation charge equivalents per gram of dry soil mixture can be calculated for each mesocosm by summing the charges from each base cation (Eq. 6).

            <disp-formula id="Ch1.E10" content-type="numbered"><label>6</label><mml:math id="M212" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">TA</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">dry</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">Soil</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">4</mml:mn></mml:munderover><mml:mfenced open="(" close=")"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">pool</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">dry</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">soil</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mrow><mml:mn mathvariant="normal">40.078</mml:mn><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:msub><mml:mi mathvariant="normal">gMg</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">pool</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">dry</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">soil</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mrow><mml:mn mathvariant="normal">24.305</mml:mn><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">Mg</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">Mg</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">TA</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msup><mml:mi mathvariant="normal">cat</mml:mi><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mfenced close="" open="("><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">g</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="normal">Na</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">pool</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">dry</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">soil</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mn mathvariant="normal">22.990</mml:mn><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">Na</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">Na</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mfenced close=")" open=""><mml:mrow><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msub><mml:mi mathvariant="normal">gK</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">pool</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">dry</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">soil</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mrow><mml:mn mathvariant="normal">39.098</mml:mn><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">K</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">TA</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msup><mml:mi mathvariant="normal">cat</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          These individual base cations (e.g. Ca in pool <inline-formula><mml:math id="M213" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>) are calculated from the difference of cations weathered during the weathering operation minus the cations initially present in that fraction in the applied feedstock (Power et al., 2025) (Eq. 7). For example, some cations can already exchange on the surface or edges of the applied minerals, so that these cannot be counted as weathered, they will however contribute to CDR once leached.</p>
      <p id="d2e4082">To calculate in-situ Wr, it is thus necessary to correct for the cations that had already been weathered from primary minerals at the time of silicate amendment. This correction is typically currently not being done in EW literature yet. As basalt is only added to the top soil and not deeper, this correction is only done for the 0–20 cm soil layer here. A limitation of the approach in Eq. (7) is that it assumes no physical transport of basalt to deeper soil layers, which may lead to underestimating weathered base cations in the 0–20 cm layer and overestimating them in the 20–30 cm layer.

            <disp-formula id="Ch1.E11" content-type="numbered"><label>7</label><mml:math id="M214" display="block"><mml:mrow><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msub><mml:mi mathvariant="normal">element</mml:mi><mml:mrow><mml:msub><mml:mi>i</mml:mi><mml:mrow><mml:mi mathvariant="normal">pool</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">dry</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">soil</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:msub><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msub><mml:mi mathvariant="normal">element</mml:mi><mml:mrow><mml:msub><mml:mi>i</mml:mi><mml:mrow><mml:mi mathvariant="normal">pool</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">dry</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">soil</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mrow><mml:mi mathvariant="normal">Post</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">weathering</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">soil</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">mixture</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:msub><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msub><mml:mi mathvariant="normal">element</mml:mi><mml:mrow><mml:msub><mml:mi>i</mml:mi><mml:mrow><mml:mi mathvariant="normal">pool</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">dry</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">soil</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mrow><mml:mi mathvariant="normal">added</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">with</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">feedstock</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">initially</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math></disp-formula>

          The mass of a specific element (<inline-formula><mml:math id="M215" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>) in each of the four (<inline-formula><mml:math id="M216" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>) soil pools (in <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g per element per g per soil) is calculated using Eq. (8).

            <disp-formula id="Ch1.E12" content-type="numbered"><label>8</label><mml:math id="M218" display="block"><mml:mrow><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">element</mml:mi><mml:mrow><mml:msub><mml:mi>i</mml:mi><mml:mrow><mml:mi mathvariant="normal">pool</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">dry</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">soil</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mrow><mml:mi mathvariant="normal">Post</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">weathering</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">soil</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">mixture</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">concentration</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msub><mml:mi mathvariant="normal">element</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mi mathvariant="normal">in</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msub><mml:mi mathvariant="normal">pool</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mfenced close="]" open="["><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mi mathvariant="normal">mg</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">Volume</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msub><mml:mi mathvariant="normal">extract</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>[</mml:mo><mml:mi mathvariant="normal">mL</mml:mi><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mi mathvariant="normal">mass</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">of</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">solid</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">extracted</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>[</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math></disp-formula>

          The initial addition of element <inline-formula><mml:math id="M219" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> to pool <inline-formula><mml:math id="M220" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> is calculated as in Eq. (9). 

            <disp-formula id="Ch1.E13" content-type="numbered"><label>9</label><mml:math id="M221" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">element</mml:mi><mml:mrow><mml:msub><mml:mi>i</mml:mi><mml:mrow><mml:mi mathvariant="normal">pool</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">dry</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">soil</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mrow><mml:mi mathvariant="normal">added</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">with</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">feedstock</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">initially</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msub><mml:mi mathvariant="normal">element</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="normal">pool</mml:mi><mml:mi mathvariant="normal">j</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">silicate</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Application</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">rate</mml:mi><mml:mfenced open="[" close="]"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">silicate</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Bulk</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">density</mml:mi><mml:mfenced close="]" open="["><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">dry</mml:mi><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mi mathvariant="normal">soil</mml:mi><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">depth</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">of</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">soil</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">amendment</mml:mi><mml:mo>[</mml:mo><mml:mi mathvariant="normal">m</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          According to the charge balance (Reaction R1–R3) during mineral dissolution, 1 mol HCO<inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> mol<sup>−1</sup> TA is generated (and thus 1 mol of CO<sub>2</sub> is sequestered). We define a factor <inline-formula><mml:math id="M225" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>, that is equal to the ratio of HCO<inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> per mol of generated TA. According to charge balance, <inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>. A more conservative approach is to assume that all this generated alkalinity will be exported to the ocean, after which chemical equilibrium degasses a portion of the alkalinity (<inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula> mol CO<sub>2</sub> mol<sup>−1</sup> TA, assumed for oceans) (Renforth, 2012, 2019; Renforth and Henderson, 2017). According to Renforth (2019), the ocean alkalinization efficiency <inline-formula><mml:math id="M231" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> ranged between 0.7 and 0.85. This <inline-formula><mml:math id="M232" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> parameter is relatively uncertain given that model studies indicate that <inline-formula><mml:math id="M233" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> can range between 0.65 and 0.8 mol CO<sub>2</sub> mol TA<sup>−1</sup> (see Sect. S6 in the Supplement of Kowalczyk et al., 2024). Alternatively, we can assume that all base cations will form solid carbonates in soils or rivers. In this case <inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> mol CO<sub>2</sub> mol<sup>−1</sup> TA (Reaction R4). In Table 4, we calculated potential inorganic CO<sub>2</sub> removals assuming conservative values of <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> (carbonate precipitation scenario) and <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>(the highest possible <inline-formula><mml:math id="M242" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> without any downstream DIC losses).</p>

<table-wrap id="T4" specific-use="star"><label>Table 4</label><caption><p id="d2e4773">Overview of the Wr and potential inorganic CO<sub>2</sub> removal that can be quantified from changes in base cations in specific soil pools. Rows where (scavenged) TA increased significantly with increasing basalt amendment are indicated in bold.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Soil pool</oasis:entry>
         <oasis:entry colname="col2">Depth</oasis:entry>
         <oasis:entry colname="col3">Reservoir</oasis:entry>
         <oasis:entry colname="col4">Log Wr</oasis:entry>
         <oasis:entry colname="col5">CDR</oasis:entry>
         <oasis:entry colname="col6">CDR</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">(Log mol</oasis:entry>
         <oasis:entry colname="col5">potential<sup>a</sup></oasis:entry>
         <oasis:entry colname="col6">potential<sup>a</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">TA m<sup>2</sup> basalt</oasis:entry>
         <oasis:entry colname="col5">(kg CO<sub>2</sub> t<sup>−1</sup></oasis:entry>
         <oasis:entry colname="col6">(kg CO<sub>2</sub> t<sup>−1</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">per s)</oasis:entry>
         <oasis:entry colname="col5">basalt)</oasis:entry>
         <oasis:entry colname="col6">basalt)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">(<inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">/</oasis:entry>
         <oasis:entry colname="col2">/</oasis:entry>
         <oasis:entry colname="col3">Plant*</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">12.93</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="bold">0.07</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><bold>/</bold></oasis:entry>
         <oasis:entry colname="col6"><bold>/</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">/</oasis:entry>
         <oasis:entry colname="col2">/</oasis:entry>
         <oasis:entry colname="col3">Leachate<sup>a</sup></oasis:entry>
         <oasis:entry colname="col4"><bold>Wr</bold> <inline-formula><mml:math id="M260" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> <bold>0</bold></oasis:entry>
         <oasis:entry colname="col5"><bold>/</bold></oasis:entry>
         <oasis:entry colname="col6"><bold>/</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Exchangeable</oasis:entry>
         <oasis:entry colname="col2">0–20 cm</oasis:entry>
         <oasis:entry colname="col3">soil</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">12.20</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="bold">0.41</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mn mathvariant="bold">1.10</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="bold">0.04</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mn mathvariant="bold">2.21</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="bold">0.07</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Carbonate</oasis:entry>
         <oasis:entry colname="col2">0–20 cm</oasis:entry>
         <oasis:entry colname="col3">soil</oasis:entry>
         <oasis:entry colname="col4"><bold>Wr</bold> <inline-formula><mml:math id="M264" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> <bold>0</bold></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">0.75</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="bold">0.03</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">1.50</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="bold">0.06</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Reducible</oasis:entry>
         <oasis:entry colname="col2">0–20 cm</oasis:entry>
         <oasis:entry colname="col3">soil</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.96</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.21</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:mn mathvariant="normal">18.91</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.76</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:mn mathvariant="normal">37.82</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.51</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Oxidizable</oasis:entry>
         <oasis:entry colname="col2">0–20 cm</oasis:entry>
         <oasis:entry colname="col3">soil</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.58</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.43</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.53</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.89</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.06</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.77</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Exchangeable</oasis:entry>
         <oasis:entry colname="col2">20–30 cm</oasis:entry>
         <oasis:entry colname="col3">soil</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13.02</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.29</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.17</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.34</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Carbonate</oasis:entry>
         <oasis:entry colname="col2">20–30 cm</oasis:entry>
         <oasis:entry colname="col3">soil</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13.17</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.29</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.12</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.23</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Reducible</oasis:entry>
         <oasis:entry colname="col2">20–30 cm</oasis:entry>
         <oasis:entry colname="col3">soil</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13.17</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">50.43</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.02</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.47</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.04</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.95</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Oxidizable</oasis:entry>
         <oasis:entry colname="col2">20–30 cm</oasis:entry>
         <oasis:entry colname="col3">soil</oasis:entry>
         <oasis:entry colname="col4">Wr <inline-formula><mml:math id="M282" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.82</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.80</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.56</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.60</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Exchangeable</oasis:entry>
         <oasis:entry colname="col2">30–50 cm</oasis:entry>
         <oasis:entry colname="col3">soil</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.76</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.30</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.30</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.61</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Carbonate</oasis:entry>
         <oasis:entry colname="col2">30–50 cm</oasis:entry>
         <oasis:entry colname="col3">soil</oasis:entry>
         <oasis:entry colname="col4">Wr <inline-formula><mml:math id="M288" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.21</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Reducible</oasis:entry>
         <oasis:entry colname="col2">30–50 cm</oasis:entry>
         <oasis:entry colname="col3">soil</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.34</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.15</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.79</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.58</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.27</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Oxidizable</oasis:entry>
         <oasis:entry colname="col2">30–50 cm</oasis:entry>
         <oasis:entry colname="col3">soil</oasis:entry>
         <oasis:entry colname="col4">Wr <inline-formula><mml:math id="M294" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.10</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.15</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">16.19</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.31</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Exchangeable</oasis:entry>
         <oasis:entry colname="col2">0–20</oasis:entry>
         <oasis:entry colname="col3">Exchangeable <inline-formula><mml:math id="M297" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> plant <inline-formula><mml:math id="M298" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> leachate</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">12.13</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="bold">0.34</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:mn mathvariant="bold">1.30</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="bold">0.04</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:mn mathvariant="bold">2.21</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="bold">0.07</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Exchangeable <inline-formula><mml:math id="M302" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> Carbonate</oasis:entry>
         <oasis:entry colname="col2">0–20</oasis:entry>
         <oasis:entry colname="col3">Exchangeable <inline-formula><mml:math id="M303" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> plant <inline-formula><mml:math id="M304" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> leachate <inline-formula><mml:math id="M305" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> carbonate</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">12.23</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="bold">1.05</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:mn mathvariant="bold">0.36</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="bold">0.05</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:mn mathvariant="bold">0.71</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="bold">0.10</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">All soil pools</oasis:entry>
         <oasis:entry colname="col2">All</oasis:entry>
         <oasis:entry colname="col3">All soil pools <inline-formula><mml:math id="M309" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> plant <inline-formula><mml:math id="M310" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> leachate</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.11</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">2.70</mml:mn><mml:mi mathvariant="bold">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.17</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.07</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:mn mathvariant="normal">26.33</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.13</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e4785"><sup>a</sup> For leachates (which represents realized CDR) and also for plants there is no potential inorganic CO<sub>2</sub> removal in this approach. <sup>b</sup> Abs (Wr/standard error (Wr) <inline-formula><mml:math id="M247" display="inline"><mml:mo>⋅</mml:mo></mml:math></inline-formula> LN(10)) was used to propagate the error using the <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msub><mml:mi>log⁡</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> transformation, resulting in substantial uncertainty for the Wr estimate of all pools.</p></table-wrap-foot></table-wrap>

      <p id="d2e5995">While calculating Wr, cations added with the rock feedstock that were already weathered were subtracted as in Eq. (7), yet these cations are not subtracted to calculate the potential inorganic CO<sub>2</sub> removal as base cations in weathered fractions of the rock feedstock can also leach to soil water whereby HCO<inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is generated. Last, base cation changes in the plant pool were excluded from the potential inorganic CO<sub>2</sub> removal pool here, as a conservative approach we assume that base cations in plants will not reach the ocean. The latter assumption had a negligible impact on the potential inorganic CO<sub>2</sub> removal estimate (Table 4).

            <disp-formula id="Ch1.E14" content-type="numbered"><label>10</label><mml:math id="M318" display="block"><mml:mrow><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi mathvariant="normal">potential</mml:mi></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">inorganic</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">removal</mml:mi><mml:mfenced open="[" close="]"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow><mml:mrow><mml:mi mathvariant="normal">t</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">rock</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="normal">Scavenged</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">TA</mml:mi><mml:mfenced open="[" close="]"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">TA</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">rock</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow><mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">TA</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">44</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow><mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">1000</mml:mn><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">with</mml:mi></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">element</mml:mi><mml:mrow><mml:msub><mml:mi>i</mml:mi><mml:mrow><mml:mi mathvariant="normal">pool</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">dry</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">soil</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mrow><mml:mi mathvariant="normal">added</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">with</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">feedstock</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">initially</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math></disp-formula></p>
</sec>
<sec id="Ch1.S2.SS7">
  <label>2.7</label><title>Calculation of the carbonate saturation indices (SIc) using Phreeqc</title>
      <p id="d2e6232">To assess whether carbonate precipitation was theoretically possible during this experiment, we calculated SIc for dolomite and calcite. For Mg and Ca the SIc as the logarithm of the ion activity product and the solubility product constant of dolomite and calcite (SIc <inline-formula><mml:math id="M319" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M320" display="inline"><mml:mi>log⁡</mml:mi></mml:math></inline-formula>IAP/K). Minerals have the potential to precipitate when a <inline-formula><mml:math id="M321" display="inline"><mml:mi>log⁡</mml:mi></mml:math></inline-formula>SIc <inline-formula><mml:math id="M322" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0 is reached although substantial oversaturation of calcite (<inline-formula><mml:math id="M323" display="inline"><mml:mi>log⁡</mml:mi></mml:math></inline-formula>SIc <inline-formula><mml:math id="M324" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 1) without calcite formation is possible in rivers due to ion inhibition, e.g. by phosphate (Morse et al., 2007; Zhang et al., 2022). Likewise, they are in equilibrium at a log SIc <inline-formula><mml:math id="M325" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0 and dissolve if <inline-formula><mml:math id="M326" display="inline"><mml:mi>log⁡</mml:mi></mml:math></inline-formula>SIc <inline-formula><mml:math id="M327" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0. The R phreeqc package was used and the phreeqc.dat database was used. As an input, the experimental pore water (10 cm depth) composition of Mg and Ca was entered, as well as measured pH and TA. Daily SIc values were calculated by feeding unique combinations Mg, Ca and pH into the PHREEQC solution function for each day.</p>
</sec>
<sec id="Ch1.S2.SS8">
  <label>2.8</label><title>Data analysis</title>
      <p id="d2e6307">For SIC and elemental stocks in plant biomass, soil pools and soil water export, a linear regression with basalt application rate as a dependent variable was performed to test for a basalt effect. For measurements that were repeated in time (pore water and leachate DIC and DOC compositions), a linear mixed model was used with basalt and time as fixed factors and mesocosm as a random factor using the lme4 R package (version 1.1-33).</p>
      <p id="d2e6310">For measurements repeated in time, we assessed basalt <inline-formula><mml:math id="M328" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> time interaction effects and discarded these if not significant. All analyses were executed in R version 4.3.2. As an additional sensitivity analysis for the determination of Wr using the slope of application rates approach described in the main text, we quantified Wr also for individual application rates in Fig. S13.</p>
      <p id="d2e6320">To propagate uncertainty between basalt and controls in Fig. 5, averages and standard errors for every replicated application rate (0 or 50 t ha<sup>−1</sup>) were determined. The average from the 50 t ha<sup>−1</sup> was subtracted with the average from the control soil and <inline-formula><mml:math id="M331" display="inline"><mml:mrow><mml:mi mathvariant="normal">se</mml:mi><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">se</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:msup><mml:mi mathvariant="normal">control</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mi mathvariant="normal">se</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:msup><mml:mi mathvariant="normal">basalt</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:msqrt></mml:mrow></mml:math></inline-formula>. For non-replicated application rates (10, 30, 75, 100, 150 and 200 t ha<sup>−1</sup>, se <inline-formula><mml:math id="M333" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0) the measurement was subtracted from the control soil average and errors were also propagated with <inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:mi mathvariant="normal">se</mml:mi><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">se</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:msup><mml:mi mathvariant="normal">control</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mi mathvariant="normal">se</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:msup><mml:mi mathvariant="normal">basalt</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:msqrt></mml:mrow></mml:math></inline-formula>.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
      <p id="d2e6448">Basalt amendment significantly increased DIC and TA in the top soil water (Fig. 4). TA in soil water correlated positively with DIC (<inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.68</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M336" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>, Fig. S10). TA was thus generated in the basalt amended soil layer, yet we did not observe DIC or TA increases with higher basalt application rates in water exported from the soil column at 60 cm depth (Fig. 4). Temporal dynamics show that DIC in top soil pore water gradually increased in time with higher basalt amendment, while DOC decreased in time with more basalt (Fig. S7 and Table S4).</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e6480">Topsoil (0–20 cm) pore water <bold>(a)</bold> TA and <bold>(b)</bold> DIC concentrations. Export water (50 cm depth) <bold>(c)</bold> TA and <bold>(d)</bold> DIC concentrations. Values represent average concentrations <inline-formula><mml:math id="M337" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> standard error across all sampling occasions over the 101 d experiment (<inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">125</mml:mn></mml:mrow></mml:math></inline-formula>, 44, 95 and 60 for pore water DIC, TA and leachate DIC and TA concentrations respectively). Significant trends are indicated with a dotted regression line. Raw data for TA and DIC in function of time is visualized in Figs. S7b, d and S9b, d.</p></caption>
        <graphic xlink:href="https://soil.copernicus.org/articles/12/421/2026/soil-12-421-2026-f04.png"/>

      </fig>

      <p id="d2e6521">Overall, base cations were mostly retained in the top soil, where Ca significantly increased in the exchangeable, reducible and oxidizable pools with higher basalt addition. Only in the carbonate soil pool, Ca (and also Mg) significantly decreased with more basalt (Figs. 5 and 6). With higher rock amendment, Mg accumulated in the top soil exchangeable pool (<inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). The Mg accumulation in the reducible pool was higher compared to the exchangeable, but the slope was borderline significant for the reducible pool (<inline-formula><mml:math id="M340" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula>) due to higher variability in Mg concentrations with increasing basalt amendment.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e6551">Change in topsoil (0–20 cm) elements relative to the control (corrected as in Eq. 7), 101 d after basalt amendment, as a function of basalt application rate for <bold>(a)</bold> Al, <bold>(b)</bold> Ca, <bold>(c)</bold> Fe, <bold>(d)</bold> K, <bold>(e)</bold> Mg and <bold>(f)</bold> Na for four different soil pools. Dots and error bars represent averages and standard errors. For basalt application rates other than 50 t ha<sup>−1</sup>, error bars correspond to those of the control soils, as these basalt treatments were not replicated and the data are shown as control-normalized results. Significant effects (<inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) of basalt application rate on cation concentrations are indicated by dotted linear regression lines. Measurements were repeated on at least four samples per fraction for the control soils (<inline-formula><mml:math id="M343" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> for each fraction) and <inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> for 50 t ha<sup>−1</sup> treatment (fewer than 5 replicates were available due to technical issues). Note that <inline-formula><mml:math id="M346" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axes scales differ among subplots to better visualize small changes for some elements. Unnormalized (raw) data are presented in Figs. S19–S21.</p></caption>
        <graphic xlink:href="https://soil.copernicus.org/articles/12/421/2026/soil-12-421-2026-f05.png"/>

      </fig>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e6649">Equivalent alkalinity uptake 101 d after basalt amendment in different soil pools and depths. <inline-formula><mml:math id="M347" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> values of linear regressions are shown above and below bar plots of positive and negative changes respectively. Error bars represent the standard error that was derived from linear regression. Underlying regressions for slopes of TA scavenged by each pool and depth can be found in Fig. S22. Base cation changes in topsoil pore water are not included in this figure as we only include charge equivalent adsorbed by soil pools here, yet base cations in top soil pore water were negligible (see Fig. S24).</p></caption>
        <graphic xlink:href="https://soil.copernicus.org/articles/12/421/2026/soil-12-421-2026-f06.png"/>

      </fig>

      <p id="d2e6665">Changes in Na followed similar patterns as Mg, as also significantly more Na exchanged in top soil (<inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula>) and a larger signal of reducible Na was found (<inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). In contrast with divalent cations, monovalent cations increased in the carbonate fraction if basalt increased (Figs. 5 and 6). With more basalt, Al is being found in association with the oxidizable and reducible fraction. Si increased only significantly in the oxidizable pool (<inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula>) (Fig. S15). Increases in oxidizable Si, Ca, Al with higher basalt addition suggest the formation of mineral-associated organic matter.</p>
      <p id="d2e6704">In the soil layer just below the soil-basalt mixture (20–30 cm), the cations did not increase significantly in any of the measured pools (Fig. 6). We did not observe significant changes in any element with higher basalt amendment in the 30–50 cm soil layer (Fig. S12).</p>
      <p id="d2e6707">From all significant element changes in soil pools, we calculate that 8.4 %, 52.1 % and 9.4 % of basalt Na, K and Ca were weathered while we do not observe an increase in Mg if we only consider significant (<inline-formula><mml:math id="M351" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) slopes. If we consider all (also <inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) regression slopes, the estimates become 48.0 %, 10.6 %, 9.35 % for K, Ca and Mg, while Na did not increase in this approach (mass balance per element, see Fig. S23).</p>
      <p id="d2e6735">Base cations were not only scavenged by soils, but also by plants. Although two orders of magnitude smaller than in soil pools, TA scavenging by plants was higher than soil water exported TA and increased significantly with larger basalt amendment (<inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) (Fig. 7). The increase in base cation charges in plants was attributed to K (81 %), Ca (11 %) and Mg (8 %).</p>

      <fig id="F7"><label>Figure 7</label><caption><p id="d2e6752">Base cation charge equivalents (Eq) per mesocosm after 101 d retained in maize plants (stems, leaves and maize ears), indicated with maize fruit symbols, and flushed with leaching water, indicated with droplets. Error bars represent averages and standard errors (<inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> for both control and 50 t ha<sup>−1</sup> basalt replicates for plant measurements). For leachate TA, a total of 60 measurements were done in total at different dates. Na was not analyzed in plants and is thus not included in the harvested base cations. Errors on leachate TA were small and appear as horizontal lines within the droplets. Raw data for leachate TA measurements can be found in Fig. S9d.</p></caption>
        <graphic xlink:href="https://soil.copernicus.org/articles/12/421/2026/soil-12-421-2026-f07.png"/>

      </fig>

      <p id="d2e6785">Converting the base cations to moles of equivalent TA and considering only the exchangeable pool as only soil cation reservoir we derive a <inline-formula><mml:math id="M356" display="inline"><mml:mi>log⁡</mml:mi></mml:math></inline-formula> weathering rate of <inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.13</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.34</mml:mn></mml:mrow></mml:math></inline-formula> mol TA m<sup>−2</sup> per rock per s (Table 4). When we consider also the decrease in base cation equivalents in the carbonate pool, the mean estimate decreases to <inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.23</mml:mn></mml:mrow></mml:math></inline-formula> mol TA m<sup>−2</sup> per rock per s, translating into mean estimated potential inorganic CO<sub>2</sub> removals of 0.36–0.71 kg CO<sub>2</sub> t<sup>−1</sup> basalt (assuming <inline-formula><mml:math id="M364" display="inline"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula>–1). If we include all soil pools and non significant regressions the estimates becomes one order of magnitude higher, yet with substantial uncertainty.</p>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Weathering rates and CO<sub>2</sub> removal</title>
      <p id="d2e6912">EW is typically considered as a durable CDR pathway that removes CO<sub>2</sub> from the atmosphere by producing DIC that is either transported to the ocean (Strefler et al., 2018) or precipitates as carbonates in the soil (Manning et al., 2013). Here, we observe a clear weathering signal (a TA and DIC increase) in top soil pore water (Fig. 4). These TA and DIC increases in the pore water of amended top soil are consistent with recent findings (Holzer et al., 2023; McDermott et al., 2024; Vienne et al., 2024). Increased DIC in basalt soils relative to controls may result from enhanced plant DIC exudation or from mineral weathering; our dataset does not allow these effects to be separated. DIC did however not leach from our soil columns within this experimental timeframe of 101 d.</p>
      <p id="d2e6924">Absence of substantial DIC leaching is in line with other short-term recent studies (Amann et al., 2020; Larkin et al., 2022; Niron et al., 2024; Vienne et al., 2024). For example, the log Wr of approximately <inline-formula><mml:math id="M367" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula> mol TA m<sup>2</sup> s<sup>−1</sup> quantified from DIC export after 1 year in a mesocosm trial with 220 t ha<sup>−1</sup> olivine-rich rock (Amann et al., 2020) was about three orders of magnitude lower than what would be expected from lab-scale weathering studies (roughly <inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> mol TA m<sup>−2</sup> s<sup>−1</sup>, Palandri and Kharaka, 2004). Vienne et al. (2024) amended soils with 100 t basalt per ha and quantified a CDR from exported TA that was in the same order of magnitude as in the work of Amann et al. (2020). Although the studies of Amann et al. (2020), Vienne et al. (2024) were relatively short (<inline-formula><mml:math id="M374" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> year) and used a relatively low water infiltration flux, also a longer (3 year duration) catchment-scale study in Malaysian oil palm plantations with high annual rainfall (<inline-formula><mml:math id="M375" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">2000</mml:mn></mml:mrow></mml:math></inline-formula> mm yr<sup>−1</sup>) detected no significant increase in TA leaching in the catchments (Larkin et al., 2022). There may thus be a substantial delay for DIC leaching.</p>
      <p id="d2e7037">A DIC leaching delay can have multiple causes (Fig. 1); a first possibility is pedogenic carbonate formation.</p>
      <p id="d2e7041">We observe that solid carbonates did not increase in our experiment, in contrast, SIC decreased in time. PHREEQC calculations for our experiment suggest that dolomite and calcite were undersaturated, so that carbonate dissolution was possible (Fig. S17). Saturation states are expected to be low in our experiment because control soil was undersaturated and dissolved base cations accumulated in other soil pools than the carbonate pool (Figs. 5 and 6). A decrease in SIC is in contrast with substantial SIC increases found after wollastonite rock amendment (Haque et al., 2019, 2020). The observed SIC increase in the latter field study may be partly attributed to residual carbonates from prior liming activities instead of new carbonate formation related to silicate weathering (Haque et al., 2020). Thus, not all measured SIC may reflect new carbonate formation in the study of Haque et al. (2020). For short-term basalt studies, using elemental C analysis, also no significant changes in SIC could be detected previously (Kelland et al., 2020; Vienne et al., 2022, 2024). In contrast, in the study of Larkin et al. (2022), a relatively small SIC increase was detected in amended soils, using carbonate pool extractions.</p>
      <p id="d2e7044">While TA was not exported or taken up by soil carbonates here and plant base cation losses were minor (Table 4) it was retained in top soil where the exchangeable and reducible pools reduced solute TA. We expect cations to be primarily associated with Fe- and Mn-(oxyhydr)oxides in the reducible pool and with organic matter in the oxidizable pool, as supported by literature (Tessier et al., 1979); However, the extraction chemicals of this sequential extraction scheme (hydroxylamine and H<sub>2</sub>O<sub>2</sub>) are known to have a limited specificity and may have also partially targeted other mineral phases (such as clays) (Ryan et al., 2008), which could explain the elevated Si observed in the topsoil pools (Fig. S15). In addition, the observed increase of aluminum in association with the reducible soil fraction indicate the formation of secondary minerals. While we cannot pinpoint the exact Mg-phases formed in our soils, our results do demonstrate substantial base cation retention in the soil and show that there can be more base cation losses to soils than to the exchangeable pool alone.</p>
      <p id="d2e7065">Our estimate of <inline-formula><mml:math id="M379" display="inline"><mml:mi>log⁡</mml:mi></mml:math></inline-formula>Wr, derived solely from significant increases in TA uptake at higher basalt amendment rates, was approximately <inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula> mol TA m<sup>−2</sup> s<sup>−1</sup>. This estimate reflects changes in the exchangeable and carbonate soil pools, plant uptake, and leachate composition. Notably, this value aligns with previous studies that estimated <inline-formula><mml:math id="M383" display="inline"><mml:mi>log⁡</mml:mi></mml:math></inline-formula>Wr values between <inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula> based on base cation depletion from the exchangeable pool alone (Kelland et al., 2020; Reershemius et al., 2023; te Pas et al., 2023), as summarized in Vienne et al. (2024). Also in a batch leaching experiment with 1 mM CaCl<sub>2</sub> (designed to mimic soil solutions) the quantified <inline-formula><mml:math id="M387" display="inline"><mml:mi>log⁡</mml:mi></mml:math></inline-formula>Wr of basalt was found to be <inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula> (Van Der Bauwhede et al., 2024).</p>
      <p id="d2e7163">Estimates from Buckingham et al. (2022), based only on leachates, gave a much lower <inline-formula><mml:math id="M389" display="inline"><mml:mi>log⁡</mml:mi></mml:math></inline-formula>Wr of <inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula>, partly due to low water infiltration rates. With a high infiltration flux (8000 mm yr<sup>−1</sup>), Amann et al. (2022) estimated <inline-formula><mml:math id="M392" display="inline"><mml:mi>log⁡</mml:mi></mml:math></inline-formula>Wr between <inline-formula><mml:math id="M393" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.5</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M394" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13.5</mml:mn></mml:mrow></mml:math></inline-formula> from basalt leachates. This highlights the importance of including scavenged alkalinity to determine Wr in soils. When we also include non-significant regression slopes we derive a mean <inline-formula><mml:math id="M395" display="inline"><mml:mi>log⁡</mml:mi></mml:math></inline-formula>Wr estimate with substantial uncertainty (<inline-formula><mml:math id="M396" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.11</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.70</mml:mn></mml:mrow></mml:math></inline-formula>) mol TA m<sup>−2</sup> s<sup>−1</sup>. From individual application rates, we quantify <inline-formula><mml:math id="M399" display="inline"><mml:mi>log⁡</mml:mi></mml:math></inline-formula>Wr ranging between <inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> (Fig. S13); these values are comparable to those observed in soil-free, laboratory-scale basalt dissolution experiments conducted at circumneutral pH (Brantley et al., 2008; Gislason and Oelkers, 2003). They also approximate the dissolution rates of key mineralogical components in basalt – such as plagioclases (between <inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula> for Na and Ca endmembers respectively) and augite (<inline-formula><mml:math id="M404" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.97</mml:mn></mml:mrow></mml:math></inline-formula>) – under room temperature and neutral pH conditions (Gudbrandsson et al., 2011; Hermanska et al., 2022; Palandri and Kharaka, 2004).</p>
      <p id="d2e7326">Although this and other experiments show relatively consistent weathering rates from exchangeable base cations (comparable to those observed in lab-scale studies) we emphasize that, unlike laboratory conditions where base cations remain far from equilibrium in excess water, soils experience solid-phase cation scavenging, which promotes DIC degassing (Fig. 1). From the sum of significant TA slopes we calculate a relatively low potential inorganic CO<sub>2</sub> removal, equalling to approximately 0.36–0.71 kg CO<sub>2</sub> t<sup>−1</sup> basalt or 0.018–0.036 t CO<sub>2</sub> ha<sup>−1</sup> for a basalt application rate of 50 t ha<sup>−1</sup> (Table 4). Also the highest possible potential inorganic CO<sub>2</sub> removal realized within this experimental timeframe is modest; Including also non-significant TA increases and assuming <inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, the potential inorganic CO<sub>2</sub> removal is quantified to be <inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:mn mathvariant="normal">26.33</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.13</mml:mn></mml:mrow></mml:math></inline-formula> kg CO<sub>2</sub> t<sup>−1</sup> basalt (Table 4). We emphasize that a potential inorganic CO<sub>2</sub> removal is a maximum inorganic CO<sub>2</sub> removal that can be realized with the delivered amount of base cation weathering as strong acids associated with fertilizers (such as nitric acid and sulphuric acid), or organic acids and not carbonic acid may have initially weathered silicate rock which does not lead to a CDR within the soil system (McDermott et al., 2024; Taylor et al., 2021). Moreover, life-cycle emissions associated with mining, grinding and transporting rock are typically of the same order of magnitude as our relatively low potential inorganic CO<sub>2</sub> removal (Lefebvre et al., 2019).</p>
      <p id="d2e7484">Furthermore, for climate change mitigation, not only the amount of potential inorganic CO<sub>2</sub> removal is important, but also the timescale at which this CDR is realized (Kanzaki et al., 2025). A mass balance of base cations indicates that exported TA was negligible compared to base cation charges that were retained in the soil over the timeframe of our experiment (101 d) (Table 4). As long as TA is retained in soil pools, inorganic CO<sub>2</sub> removal through DIC export is delayed as equivalent amounts of protons have then been released into the soil water to maintain charge balance (Fig. 1). Realization of this delayed inorganic CO<sub>2</sub> removal depends on liberation of base cations from these soil pools and their transport out of the soil, charge-balanced by HCO<inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. This export may take decades or longer, depending on the circumstances (Kanzaki et al., 2025).</p>
      <p id="d2e7527">The realization of CDR may be further delayed through the formation of base cation bearing clay minerals. Clay formation has previously been suggested for EW application based on changes in soil water Ge <inline-formula><mml:math id="M424" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Si ratios and Si isotopes (Vienne et al., 2024) and also based on Li isotope measurements (Pogge von Strandmann et al., 2022). These measurements indicated basalt induced clay formation, but it remains unclear what type of clays were formed and hence what the effect on inorganic CO<sub>2</sub> removal may be. In the best case for the inorganic CO<sub>2</sub> removal time lag, the formed clays are <inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> phyllosilicates such as kaolinite that do not sequester base cations. In this case, DIC leaching is only retarded by base cation exchange. Worst case for the inorganic CO<sub>2</sub> removal time lag, the formed secondary minerals bear substantial amounts of base cations (e.g. chlorite, chrysotile, smectites, montmorillonites). These clays exhibit a <inline-formula><mml:math id="M429" display="inline"><mml:mi>log⁡</mml:mi></mml:math></inline-formula>Wr between <inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M431" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.5</mml:mn></mml:mrow></mml:math></inline-formula> at neutral pH (Palandri and Kharaka, 2004), so that dissolution within decadal timescales is unlikely (Bullock et al., 2022).</p>
      <p id="d2e7604">Although unfavourable for inorganic CO<sub>2</sub> removal, if base cation bearing secondary clay minerals would form, they can increase SOC (Georgiou et al., 2022; Heckman et al., 2022; Steinwidder et al., 2025). Georgiou et al. (2022) refer to base-cation bearing clays (e.g. smectitic or illitic clays) as “high-activity minerals” due to their higher SOM stabilization capacity compared to secondary minerals that do not contain base cations (i.e., “low-activity minerals”, with a lower CEC such as kaolinite). Both high- and low-activity minerals can adsorb DOC and form mineral-associated organic matter-C (MAOM-C), which is believed to have a relatively high permanence (decades-centuries) in soils (Lavallee et al., 2020). Besides mineral surface however, plant inputs can also limit SOC accrual. In the latter case, SOC stocks can only increase if belowground plant C inputs increase, which could follow from increases in exchangeable bases or pH (Haque et al., 2019; Shamshuddin et al., 2011). Nonetheless, increases in decomposition can also stimulate SOC losses if rock dust increases soil pH (Klemme et al., 2022).</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Implications for monitoring inorganic CO<sub>2</sub> removal</title>
      <p id="d2e7634">Different base cation monitoring strategies are possible. A first option is to quantify TA in soil water (Clarkson et al., 2024). A disadvantage is however that soil water samples have to be sampled across the soil depth. Alternatively, TA could be only monitored in top soil, yet then uncertain TA leaching models must be used (Kanzaki et al., 2025). To calibrate TA leaching models, soil measurements in depth profiles could be used.</p>
      <p id="d2e7637">A first soil measurement approach is a total cation accounting approach, which quantifies the loss of base cations from top soils (te Pas et al., 2025). However, this approach only focuses on the top soil and fails to account for physical cation transport from top soils due to erosion or vertical feedstock transport via infiltration or bioturbation. Alternatively, in a mobile/immobile tracer element approach (often named “TiCat” by the EW community), cation losses from amended top soils are quantified along with immobile tracers, which can account for cation losses through bioturbation or erosion (Reershemius et al., 2023). Nonetheless the disadvantage of TiCat is that it does not track potential TA scavenging (e.g. by organic matter or clays) at larger depth. Our potential inorganic CO<sub>2</sub> removal estimate will thus differ from a potential inorganic CO<sub>2</sub> removal estimate quantified using a TiCat approach.</p>
      <p id="d2e7658">Alternatively, entire depth profiles could be analyzed to spatially calibrate TA leaching models. Analysis of the exchangeable soil pool is already a well-established method in EW research (Beerling et al., 2024; Reershemius et al., 2023; Reynaert et al., 2023; Vienne et al., 2024). Adding also the carbonate, reducible and oxidizable soil pools to the analysis could make base cation mass balancing more complete. These protocols could calibrate predictive TA leaching models spatially. In addition there is an opportunity to quantify SOC and MAOM-C changes in the same samples, which have recently gained traction in EW research due to their role in stabilizing SOM (Buss et al., 2024; Sokol et al., 2024; Xu et al., 2024). Integration of these measurements can provide more accurate estimates of the climate impact of EW, but should take into account the difference in permanence of inorganic and organic carbon stocks.</p>
      <p id="d2e7662">However, this monitoring approach involves complexities such as feedstock correction, leaching solution strength and soil heterogeneity. Although correcting for pre-weathered elements was crucial in this study, it assumes perfect mixing based on a silicate-to-soil ratio. This correction was particularly significant for carbonate and reducible soil pools, where for some base cations, over half of the cation increase with basalt amendment originated from feedstock addition and not from weathering (Fig. S18). An alternative approach could involve creating time series from sequential extraction data and quantifying base cation changes based on the change in time between multiple measurements taken after rock amendment.</p>
      <p id="d2e7665">As discussed in the previous section, another key challenge is that the fate of base cations may remain uncertain if strongly bound crystalline organo-minerals (see Lopez-Sangil and Rovira, 2013) form that are unextractable by the Tessier scheme. Such processes may have contributed to the observed decrease in oxidizable elements at larger depth, although this could also be an artefact of the applied extraction procedure. Pogge von Strandmann et al. (2022) proposed substituting the H<sub>2</sub>O<sub>2</sub> leaching step of the Tessier scheme with a dilute HCl leach, which is thought to extract clays as well. Alternatively, post-extraction analysis of residual solids using techniques such as XRD or QEMSCAN may be necessary to rigorously assess changes in rock mineralogy (Mason et al., 2022). Although deep soil core sampling and extensive mineralogical analysis are resource-intensive and not feasible for large-scale application, this monitoring strategy could be valuable during the initial adoption of EW in targeted “measure-all” experiments, as reliable TA leaching models require extensive calibration.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d2e7696">This study presents a detailed examination of EW and its effectiveness as a climate mitigation technique, revealing both its potentials and limitations. A novel aspect of this work is the in-depth investigation of entire soil profiles for base cations in different soil fractions, paired with soil water TA monitoring. We highlight the value of sequential extractions as a method for monitoring base cations throughout soil profiles for calibrating TA leaching models.</p>
      <p id="d2e7699">Our findings indicate that basalt-based enhanced weathering may not immediately lead to the inorganic CO<sub>2</sub> removal previously anticipated in projections and IPCC reports (Babiker et al., 2022; Minx et al., 2018). We observed rock weathering without inorganic CO<sub>2</sub> removal; despite the absence of DIC leaching or carbonate precipitation, exchangeable bases increased with higher basalt amendments, demonstrating that rock weathering occurred. Additionally, we observed a borderline significant but substantial increase in base cations in the reducible topsoil pool with greater basalt application, which may further suppress TA leaching.</p>
      <p id="d2e7720">As base cation exchange increased with higher basalt amendments, we infer that greater application rates can further delay the release of DIC from soil minerals to surface waters. However, in practice, EW is typically applied at application rates below 30 t ha<sup>−1</sup>. These lower, more practical rates may also enhance effectiveness of inorganic CO<sub>2</sub> removal by reducing lag times for DIC release. It remains unclear if clays were formed here and whether EW can deliver CDR within the urgent decadal timeframe needed to mitigate climate change. Despite its limitations for short-term inorganic CO<sub>2</sub> removal, the generated secondary minerals and increased CEC could enhance plant productivity and SOC retention in soils, contributing to long-term soil health, fertility, and potentially carbon sequestration beyond inorganic pathways.</p>
</sec>

      
      </body>
    <back><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d2e7757">Data and code used in this manuscript are freely available at: <ext-link xlink:href="https://doi.org/10.5281/zenodo.15129984" ext-link-type="DOI">10.5281/zenodo.15129984</ext-link> (Vienne, 2024).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e7763">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/soil-12-421-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/soil-12-421-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e7772">AV: research conceptualization, data gathering, development methodology, data analysis and writing. PF: conceptualized sequential extraction methodology, writing and discussion. JR: research conceptualization, data gathering. TJS: writing and discussion. TR: writing and discussion. RP: data gathering, rock characterization and writing. JH: writing and discussion. HN: development extraction methodology, writing and discussion. MPE: elemental C measurements and proofreading. LS: writing, development methodology and discussion. LB: writing and discussion. SV: supervising research, conceptualization, writing and discussion.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e7778">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="d2e7784">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="d2e7790">We thank Anne Cools, Steven Joosen and Anke De Boeck for their assistance with ICP-OES for sequential extraction samples and Anthony De Schutter to characterize basalt using XRD. We thank DURUBAS to provide basalt and provide the XRF material data sheet. We thank Tom Cox and Jasper Roussard for fruitful discussions. We acknowledge the use of Microsoft Copilot and Ecosia AI to improve the English of this manuscript.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e7796">This research has been supported by the Fonds Wetenschappelijk Onderzoek (grant nos. 1S06325N, 1174925N, G0A4821N and G000821N) and the European Horizon 2020 (grant no. 101003818).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e7802">This paper was edited by Boris Jansen and reviewed by three anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><mixed-citation>Amann, T. and Hartmann, J.: Carbon Accounting for Enhanced Weathering, Front. Clim., 4, 849948, <ext-link xlink:href="https://doi.org/10.3389/fclim.2022.849948" ext-link-type="DOI">10.3389/fclim.2022.849948</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><mixed-citation>Amann, T., Hartmann, J., Struyf, E., De Oliveira Garcia, W., Fischer, E. K., Janssens, I., Meire, P., and Schoelynck, J.: Enhanced Weathering and related element fluxes – A cropland mesocosm approach, Biogeosciences, 17, 103–119, <ext-link xlink:href="https://doi.org/10.5194/bg-17-103-2020" ext-link-type="DOI">10.5194/bg-17-103-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><mixed-citation>Amann, T., Hartmann, J., Hellmann, R., Pedrosa, E. T., and Malik, A.: Enhanced weathering potentials – the role of in situ CO<sub>2</sub> and grain size distribution, Front. Clim., 4, 929268, <ext-link xlink:href="https://doi.org/10.3389/fclim.2022.929268" ext-link-type="DOI">10.3389/fclim.2022.929268</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><mixed-citation>Babiker, M., Berndes, G., Blok, K., Cohen, B., Cowie, A.,Geden, O., Ginzburg, V., Leip, A., Smith, P., Sugiyama,M., and Yamba, F.: Cross-sectoral perspectives, in: Climate Change 2022: Mitigation of Climate Change, Contribution of Working Group III to the Sixth Assessment Report of the Intergovernmental Panel on Climate Change, edited by: Shukla, P. R., Skea, J., Slade, R., Al Khourdajie, A., van Diemen,R., McCollum, D., Pathak, M., Some, S., Vyas, P., Fradera, R., Belkacemi, M., Hasija, A., Lisboa, G., Luz, S., and Malley, J.: 3 – Mitigation Pathways Compatible with Long-term Goals, Cambridge University Press, <ext-link xlink:href="https://doi.org/10.1017/9781009157926.005" ext-link-type="DOI">10.1017/9781009157926.005</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><mixed-citation>Barker, S.: Dissolution of Deep-Sea Carbonates, in: Encyclopedia of Quaternary Science, 2nd Edn., Vol. 2, Elsevier B.V., <ext-link xlink:href="https://doi.org/10.1016/B978-0-444-53643-3.00289-2" ext-link-type="DOI">10.1016/B978-0-444-53643-3.00289-2</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><mixed-citation>Beerling, D. J., Kantzas, E. P., Lomas, M. R., Wade, P., Eufrasio, R. M., Renforth, P., Sarkar, B., Andrews, M. G., James, R. H., Pearce, C. R., Mercure, J. F., Pollitt, H., Holden, P. B., Edwards, N. R., Khanna, M., Koh, L., Quegan, S., Pidgeon, N. F., Janssens, I. A, Hansen, J., and Banwart, S. A.: Potential for large-scale CO<sub>2</sub> removal via enhanced rock weathering with croplands, Nature, 583, 242–248, <ext-link xlink:href="https://doi.org/10.1038/s41586-020-2448-9" ext-link-type="DOI">10.1038/s41586-020-2448-9</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><mixed-citation>Beerling, D. J., Epihov, D. Z., Kantola, I. B., Masters, M. D., Reershemius, T., Planavsky, N. J., and Reinhard, C. T.: Enhanced weathering in the US Corn Belt delivers carbon removal with agronomic benefits, P. Natl. Acad. Sci. USA, 121, e2319436121, <ext-link xlink:href="https://doi.org/10.1073/pnas.2319436121" ext-link-type="DOI">10.1073/pnas.2319436121</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><mixed-citation>Berner, R. A.: A model for Atmospheric CO<sub>2</sub> over phanerozoic time, Am. J. Sci., 291, 339–376, 1991.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><mixed-citation>Bijma, J., Hagens, M., Hammes, J. S., Planavsky, N., Pogge von Strandmann, P. A. E., Reershemius, T., Reinhard, C. T., Renforth, P., Suhrhoff, T. J., Vicca, S., Vienne, A., and Wolf-Gladrow, D.: Reviews and syntheses: Carbon vs. cation based MRV of Enhanced Rock Weathering and the issue of soil organic carbon, Biogeosciences, 23, 53–75, <ext-link xlink:href="https://doi.org/10.5194/bg-23-53-2026" ext-link-type="DOI">10.5194/bg-23-53-2026</ext-link>, 2026.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><mixed-citation>Blume, H., Brümmer, G. W., Horn, R., and Kögel-Knabner, I.: Scheffer/Schachtschabel soil science, Springer, <ext-link xlink:href="https://doi.org/10.1007/978-3-642-30942-7" ext-link-type="DOI">10.1007/978-3-642-30942-7</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><mixed-citation>Brantley, S. L., White, A. F., and Kubicki, J. D.: Kinetics of water-rock interaction, Springer, New York, <ext-link xlink:href="https://doi.org/10.1007/978-0-387-73563-4" ext-link-type="DOI">10.1007/978-0-387-73563-4</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><mixed-citation>Brown, I. C.: A rapid method of determining exchangeable hydrogen and total exchangeable bases of soils, Soil Sci., 56, 353–357, <ext-link xlink:href="https://doi.org/10.1097/00010694-194311000-00004" ext-link-type="DOI">10.1097/00010694-194311000-00004</ext-link>, 1943.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><mixed-citation>Buckingham, F. L., Henderson, G. M., Holdship, P., and Renforth, P.: Applied Geochemistry Soil core study indicates limited CO<sub>2</sub> removal by enhanced weathering in dry croplands in the UK, Appl. Geochem., 147, 105482, <ext-link xlink:href="https://doi.org/10.1016/j.apgeochem.2022.105482" ext-link-type="DOI">10.1016/j.apgeochem.2022.105482</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><mixed-citation>Bullock, L. A., Yang, A., and Darton, R. C.: Kinetics-informed global assessment of mine tailings for CO<sub>2</sub> removal, Sci. Total Environ., 808, 152111, <ext-link xlink:href="https://doi.org/10.1016/j.scitotenv.2021.152111" ext-link-type="DOI">10.1016/j.scitotenv.2021.152111</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><mixed-citation>Buss, W., Hasemer, H., Ferguson, S., and Borevitz, J.: Stabilisation of soil organic matter with rock dust partially counteracted by plants, Global Change Biol., 30, <ext-link xlink:href="https://doi.org/10.1111/gcb.17052" ext-link-type="DOI">10.1111/gcb.17052</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><mixed-citation>Clarkson, M. O., Larkin, C. S., Swoboda, P., Reershemius, T., Suhrhoff, T. J., Maesano, C. N., and Campbell, J. S.: A review of measurement for quantification of carbon dioxide removal by enhanced weathering in soil, Front. Clim., 6, 1345224, <ext-link xlink:href="https://doi.org/10.3389/fclim.2024.1345224" ext-link-type="DOI">10.3389/fclim.2024.1345224</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><mixed-citation>Dietzen, C., Harrison, R., and Michelsen-Correa, S.: Effectiveness of enhanced mineral weathering as a carbon sequestration tool and alternative to agricultural lime: An incubation experiment, Int. J. Greenh. Gas Con., 74, 251–258, <ext-link xlink:href="https://doi.org/10.1016/j.ijggc.2018.05.007" ext-link-type="DOI">10.1016/j.ijggc.2018.05.007</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><mixed-citation> Dzombak, D. A. and Morel, F. M. M.: Surface complexation modeling: hydrous ferric oxide, John Wiley &amp; Sons, ISBN 0-471-63731-9, 1990.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><mixed-citation>Fuss, S., Lamb, W. F., Callaghan, M. W., Hilaire, J., Creutzig, F., Amann, T., Beringer, T., De Oliveira Garcia, W., Hartmann, J., Khanna, T., Luderer, G., Nemet, G. F., Rogelj, J., Smith, P., Vicente, J. V., Wilcox, J., Dominguez, M. D. M. Z., and Minx, J. C.: Negative emissions – Part 2: Costs, potentials and side effects, Environ. Res. Lett., 13, 063002, <ext-link xlink:href="https://doi.org/10.1088/1748-9326/aabf9f" ext-link-type="DOI">10.1088/1748-9326/aabf9f</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><mixed-citation>Gao, Y., Lu, Y., Wu, M., Liang, E., Li, Y., Zhang, D., Yin, Z., Ren, X., Dai, Y., Deng, D., and Chen, J.: Ability to remove Na<sup>+</sup> and retain K<sup>+</sup> correlates with salt tolerance in two maize inbred lines seedlings, Front. Plant Sci., 7, 1716, <ext-link xlink:href="https://doi.org/10.3389/fpls.2016.01716" ext-link-type="DOI">10.3389/fpls.2016.01716</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><mixed-citation>Gelman, A. and Hill, J.: Data analysis using regression and multilevel/hierarchical models, Cambridge University Press, <ext-link xlink:href="https://doi.org/10.1017/CBO9780511790942" ext-link-type="DOI">10.1017/CBO9780511790942</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><mixed-citation>Georgiou, K., Jackson, R. B., Vindušková, O., Abramoff, R. Z., Ahlström, A., Feng, W., Harden, J. W., Pellegrini, A. F. A., Polley, H. W., Soong, J. L., Riley, W. J., and Torn, M. S.: Global stocks and capacity of mineral-associated soil organic carbon, Nat. Commun., 13, 3797, <ext-link xlink:href="https://doi.org/10.1038/s41467-022-31540-9" ext-link-type="DOI">10.1038/s41467-022-31540-9</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><mixed-citation>Gislason, S. R. and Oelkers, E. H.: Mechanism, rates, and consequences of basaltic glass dissolution: II. An experimental study of the dissolution rates of basaltic glass as a function of pH and temperature, Geochim. Cosmochim. Ac., 67, 3817–3832, <ext-link xlink:href="https://doi.org/10.1016/S0016-7037(03)00176-5" ext-link-type="DOI">10.1016/S0016-7037(03)00176-5</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><mixed-citation>Gudbrandsson, S., Wolff-Boenisch, D., Gislason, S. R. and Oelkers, E. H.: An experimental study of crystalline basalt dissolution from pH 2 to 11 and temperatures from 5 to 75 °C, Geochim. Cosmochim. Ac., 75, 5496–5509, <ext-link xlink:href="https://doi.org/10.1016/j.gca.2011.06.035" ext-link-type="DOI">10.1016/j.gca.2011.06.035</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><mixed-citation>Haque, F., Santos, R. M., Dutta, A., Thimmanagari, M., and Chiang, Y. W.: Co-Benefits of Wollastonite Weathering in Agriculture: CO<sub>2</sub> Sequestration and Promoted Plant Growth, ACS Omega, 4, 1425–1433, <ext-link xlink:href="https://doi.org/10.1021/acsomega.8b02477" ext-link-type="DOI">10.1021/acsomega.8b02477</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><mixed-citation>Haque, F., Santos, R. M., and Chiang, Y. W.: Optimizing Inorganic Carbon Sequestration and Crop Yield With Wollastonite Soil Amendment in a Microplot Study, Front. Plant Sci., 11, 1012, <ext-link xlink:href="https://doi.org/10.3389/fpls.2020.01012" ext-link-type="DOI">10.3389/fpls.2020.01012</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><mixed-citation>Heckman, K., Hicks Pries, C. E., Lawrence, C. R., Rasmussen, C., Crow, S. E., Hoyt, A. M., von Fromm, S. F., Shi, Z., Stoner, S., McGrath, C., Beem-Miller, J., Berhe, A. A., Blankinship, J. C., Keiluweit, M., Marín-Spiotta, E., Monroe, J. G., Plante, A. F., Schimel, J., Sierra, C. A., and Wagai, R.: Beyond bulk: Density fractions explain heterogeneity in global soil carbon abundance and persistence, Global Change Biol., 28, 1178–1196, <ext-link xlink:href="https://doi.org/10.1111/gcb.16023" ext-link-type="DOI">10.1111/gcb.16023</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><mixed-citation>Hermanska, M., Voigt, M. J., Marieni, C., Declercq, J., and Oelkers, E. H.: A comprehensive and internally consistent mineral dissolution rate database: Part I: Primary silicate minerals and glasses, Chem. Geol., 597, 120807, <ext-link xlink:href="https://doi.org/10.1016/j.chemgeo.2022.120807" ext-link-type="DOI">10.1016/j.chemgeo.2022.120807</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><mixed-citation>Holzer, I. O., Nocco, M. A., and Houlton, B. Z.: Direct evidence for atmospheric carbon dioxide removal via enhanced weathering in cropland soil, Environ. Res. Commun., 5, 101003, <ext-link xlink:href="https://doi.org/10.1088/2515-7620/acfd89" ext-link-type="DOI">10.1088/2515-7620/acfd89</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><mixed-citation>Janssens, I. A., Roobroeck, D., Sardans, J., Obersteiner, M., Peñuelas, J., Richter, A., Smith, P., Verbruggen, E., and Vicca, S.: Negative erosion and negative emissions: Combining multiple land-based carbon dioxide removal techniques to rebuild fertile topsoils and enhance food production, Front. Clim., 4, 919343, <ext-link xlink:href="https://doi.org/10.3389/fclim.2022.928403" ext-link-type="DOI">10.3389/fclim.2022.928403</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><mixed-citation>Kalinichev, A. G., Iskrenova-Tchoukova, E., Ahn, W. Y., Clark, M. M., and Kirkpatrick, R. J.: Effects of Ca2<inline-formula><mml:math id="M451" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> on supramolecular aggregation of natural organic matter in aqueous solutions: A comparison of molecular modeling approaches, Geoderma, 169, 27–32, <ext-link xlink:href="https://doi.org/10.1016/j.geoderma.2010.09.002" ext-link-type="DOI">10.1016/j.geoderma.2010.09.002</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><mixed-citation>Kanzaki, Y., Planavsky, N. J., Zhang, S., Jordan, J., Suhrhoff, T. J., and Reinhard, C. T.: Soil cation storage is a key control on the carbon removal dynamics of enhanced weathering, Environ. Res. Lett., 20, 074055, <ext-link xlink:href="https://doi.org/10.1088/1748-9326/ade0d5" ext-link-type="DOI">10.1088/1748-9326/ade0d5</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><mixed-citation>Kelland, M. E., Wade, P. W., Lewis, A. L., Taylor, L. L., Sarkar, B., Andrews, M. G., Lomas, M. R., Cotton, T. E. A., Kemp, S. J., James, R. H., Pearce, C. R., Hartley, S. E., Hodson, M. E., Leake, J. R., Banwart, S. A., and Beerling, D. J.: Increased yield and CO<sub>2</sub> sequestration potential with the C<sub>4</sub> cereal Sorghum bicolor cultivated in basaltic rock dust-amended agricultural soil, Global Change Biol., 26, 3658–3676, <ext-link xlink:href="https://doi.org/10.1111/gcb.15089" ext-link-type="DOI">10.1111/gcb.15089</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><mixed-citation>Klemme, A., Rixen, T., Müller, M., Notholt, J., and Warneke, T.: Destabilization of carbon in tropical peatlands by enhanced weathering, Commun. Earth Environ., 3, 212, <ext-link xlink:href="https://doi.org/10.1038/s43247-022-00544-0" ext-link-type="DOI">10.1038/s43247-022-00544-0</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><mixed-citation>Kowalczyk, K. A., Amann, T., Strefler, J., Vorrath, M. E., Hartmann, J., De Marco, S., Renforth, P., and Foteinis, S.: Marine Carbon Dioxide Removal by alkalinization should no longer be overlooked, Environ. Res. Lett., 19, 011003, <ext-link xlink:href="https://doi.org/10.1088/1748-9326/ad5192" ext-link-type="DOI">10.1088/1748-9326/ad5192</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><mixed-citation>Larkin, C. S., Andrews, M. G., Pearce, C. R., Yeong, K. L., Beerling, D. J., Bellamy, J., Benedick, S., Freckleton, R. P., Goring-Harford, H., Sadekar, S., and James, R. H.: Quantification of CO<sub>2</sub> removal in a large-scale enhanced weathering field trial on an oil palm plantation in Sabah, Malaysia, Front. Clim., 4, 959229, <ext-link xlink:href="https://doi.org/10.3389/fclim.2022.959229" ext-link-type="DOI">10.3389/fclim.2022.959229</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><mixed-citation>Lavallee, J. M., Soong, J. L., and Cotrufo, M. F.: Conceptualizing soil organic matter into particulate and mineral-associated forms to address global change in the 21st century, Global Change Biol., 26, 261–273, <ext-link xlink:href="https://doi.org/10.1111/gcb.14859" ext-link-type="DOI">10.1111/gcb.14859</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><mixed-citation>Lefebvre, D., Goglio, P., Williams, A., Manning, D. A. C., Carlos, A., Azevedo, D., Bergmann, M., Meersmans, J., and Smith, P.: Assessing the potential of soil carbonation and enhanced weathering through Life Cycle Assessment: A case study for Sao Paulo State, Brazil, J. Clean. Product., 233, 468–481, <ext-link xlink:href="https://doi.org/10.1016/j.jclepro.2019.06.099" ext-link-type="DOI">10.1016/j.jclepro.2019.06.099</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><mixed-citation>Lopez-Sangil, L. and Rovira, P.: Sequential chemical extractions of the mineral-associated soil organic matter: An integrated approach for the fractionation of organo-mineral complexes, Soil Biol. Biochem., 62, 57–67, <ext-link xlink:href="https://doi.org/10.1016/j.soilbio.2013.03.004" ext-link-type="DOI">10.1016/j.soilbio.2013.03.004</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><mixed-citation>Manning, D. A. C., Renforth, P., Lopez-Capel, E., Robertson, S., and Ghazireh, N.: Carbonate precipitation in artificial soils produced from basaltic quarry fines and composts: An opportunity for passive carbon sequestration, Int. J. Greenh. Gas Con., 17, 309–317, <ext-link xlink:href="https://doi.org/10.1016/j.ijggc.2013.05.012" ext-link-type="DOI">10.1016/j.ijggc.2013.05.012</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><mixed-citation>Mason, J., Lin, E., Grono, E., and Denham, T.: QEMSCAN<sup>®</sup> analysis of clay-rich stratigraphy associated with early agricultural contexts at Kuk Swamp, Papua New Guinea, J. Archaeol. Sci. Rep., 42, 103356, <ext-link xlink:href="https://doi.org/10.1016/j.jasrep.2022.103356" ext-link-type="DOI">10.1016/j.jasrep.2022.103356</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><mixed-citation>McDermott, F., Bryson, M., Magee, R., and van Acken, D.: Enhanced weathering for CO<sub>2</sub> removal using carbonate-rich crushed returned concrete; a pilot study from SE Ireland, Appl. Geochem., 169, 106056, <ext-link xlink:href="https://doi.org/10.1016/j.apgeochem.2024.106056" ext-link-type="DOI">10.1016/j.apgeochem.2024.106056</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><mixed-citation>Minx, J. C., Lamb, W. F., Callaghan, M. W., Fuss, S., Hilaire, J., Creutzig, F., Amann, T., Beringer, T., De Oliveira Garcia, W., Hartmann, J., Khanna, T., Lenzi, D., Luderer, G., Nemet, G. F., Rogelj, J., Smith, P., Vicente Vicente, J. L., Wilcox, J., and Dominguez, M. D. M. Z.: Negative emissions - Part 1: Research landscape and synthesis, Environ. Res. Lett., 13, 063001, <ext-link xlink:href="https://doi.org/10.1088/1748-9326/aabf9b" ext-link-type="DOI">10.1088/1748-9326/aabf9b</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><mixed-citation>Morse, J. W., Arvidson, R. S., and Lüttge, A.: Calcium carbonate formation and dissolution, Chem. Rev., 107, 342–381, <ext-link xlink:href="https://doi.org/10.1021/cr050358j" ext-link-type="DOI">10.1021/cr050358j</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><mixed-citation>Niron, H., Vienne, A., Frings, P., Poetra, R., and Vicca, S.: Exploring the synergy of enhanced weathering and Bacillus subtilis: A promising strategy for sustainable agriculture, Global Change Biol., 30, e17511, <ext-link xlink:href="https://doi.org/10.1111/gcb.17511" ext-link-type="DOI">10.1111/gcb.17511</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><mixed-citation> Öquist, M. G., Wallin, M., Seibert, J., Bishop, K., and Laudon, H.: Dissolved Inorganic Carbon Export Across the Soil/Stream Interface and Its Fate in a Boreal Headwater Stream, Environ. Sci. Technol., 43, 7364–7369, 2009.</mixed-citation></ref>
      <ref id="bib1.bib47"><label>47</label><mixed-citation>Palandri, J. L. and Kharaka, Y. K.: A compilation of rate parameters of water-mineral interaction kinetics for application to geochemical modeling, USGS Open-File Report 2004-1068, USGS, <ext-link xlink:href="https://doi.org/10.3133/ofr20041068" ext-link-type="DOI">10.3133/ofr20041068</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bib48"><label>48</label><mixed-citation>Poeplau, C., Don, A., Six, J., Kaiser, M., Benbi, D., Chenu, C., Cotrufo, M. F., Derrien, D., Gioacchini, P., Grand, S., Gregorich, E., Griepentrog, M., Gunina, A., Haddix, M., Kuzyakov, Y., Kühnel, A., Macdonald, L. M., Soong, J., Trigalet, S., and Nieder, R.: Isolating organic carbon fractions with varying turnover rates in temperate agricultural soils – A comprehensive method comparison, Soil Biol. Biochem., 125, 10–26, <ext-link xlink:href="https://doi.org/10.1016/j.soilbio.2018.06.025" ext-link-type="DOI">10.1016/j.soilbio.2018.06.025</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib49"><label>49</label><mixed-citation>Pogge von Strandmann, P. A. E., Liu, X., Liu, C. Y., Wilson, D. J., Hammond, S. J., Tarbuck, G., Aristilde, L., Krause, A. J., and Fraser, W. T.: Lithium isotope behaviour during basalt weathering experiments amended with organic acids, Geochim. Cosmochim. Ac., 328, 37–57, <ext-link xlink:href="https://doi.org/10.1016/j.gca.2022.04.032" ext-link-type="DOI">10.1016/j.gca.2022.04.032</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib50"><label>50</label><mixed-citation>Power, I. M., Hatten, V. N. J., Guo, M., Rausis, K., and Klyn-Hesselink, H.: Are enhanced rock weathering rates overestimated? A few geochemical and mineralogical pitfalls, Front. Clim., 6, 1510747, <ext-link xlink:href="https://doi.org/10.3389/fclim.2024.1510747" ext-link-type="DOI">10.3389/fclim.2024.1510747</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib51"><label>51</label><mixed-citation>Reershemius, T., Kelland, M. E., Jordan, J. S., Davis, I. R., D'Ascanio, R., Kalderon-Asael, B., Asael, D., Suhrhoff, T. J., Epihov, D. Z., Beerling, D. J., Reinhard, C. T., and Planavsky, N. J.: Initial Validation of a Soil-Based Mass-Balance Approach for Empirical Monitoring of Enhanced Rock Weathering Rates, Environ. Sci. Technol., 57, 19497–19507, <ext-link xlink:href="https://doi.org/10.1021/acs.est.3c03609" ext-link-type="DOI">10.1021/acs.est.3c03609</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib52"><label>52</label><mixed-citation>Renforth, P.: The potential of enhanced weathering in the UK, Int. J. Greenh. Gas Con., 10, 229–243, <ext-link xlink:href="https://doi.org/10.1016/j.ijggc.2012.06.011" ext-link-type="DOI">10.1016/j.ijggc.2012.06.011</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib53"><label>53</label><mixed-citation>Renforth, P.: The negative emission potential of alkaline materials, Nat. Commun., 10, 1401, <ext-link xlink:href="https://doi.org/10.1038/s41467-019-09475-5" ext-link-type="DOI">10.1038/s41467-019-09475-5</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib54"><label>54</label><mixed-citation>Renforth, P. and Henderson, G.: Assessing ocean alkalinity for carbon sequestration, Rev. Geophys., 55, 636–674, <ext-link xlink:href="https://doi.org/10.1002/2016RG000533" ext-link-type="DOI">10.1002/2016RG000533</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib55"><label>55</label><mixed-citation>Reynaert, S., Vienne, A., De Boeck, H. J., D'Hose, T., Janssens, I., Nijs, I., Portillo-Estrada, M., Verbruggen, E., Vicca, S., and Poblador, S.: Basalt addition improves the performance of young grassland monocultures under more persistent weather featuring longer dry and wet spells, Agr. Forest Meteorol., 340, 109610, <ext-link xlink:href="https://doi.org/10.1016/j.agrformet.2023.109610" ext-link-type="DOI">10.1016/j.agrformet.2023.109610</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib56"><label>56</label><mixed-citation>Rijnders, J., Vienne, A., and Vicca, S.: Effects of basalt, concrete fines, and steel slag on maize growth and toxic trace element accumulation in an enhanced weathering experiment, Biogeosciences, 22, 2803–2829, <ext-link xlink:href="https://doi.org/10.5194/bg-22-2803-2025" ext-link-type="DOI">10.5194/bg-22-2803-2025</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib57"><label>57</label><mixed-citation>Rowley, M. C., Grand, S., and Verrecchia, É. P.: Calcium-mediated stabilisation of soil organic carbon, Biogeochemistry, 137, 27–49, <ext-link xlink:href="https://doi.org/10.1007/s10533-017-0410-1" ext-link-type="DOI">10.1007/s10533-017-0410-1</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib58"><label>58</label><mixed-citation>Ryan, P. C., Hillier, S., and Wall, A. J.: Stepwise effects of the BCR sequential chemical extraction procedure on dissolution and metal release from common ferromagnesian clay minerals: A combined solution chemistry and X-ray powder diffraction study, Sci. Total Environ., 407, 603–614, <ext-link xlink:href="https://doi.org/10.1016/j.scitotenv.2008.09.019" ext-link-type="DOI">10.1016/j.scitotenv.2008.09.019</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib59"><label>59</label><mixed-citation>Schindlbacher, A., Beck, K., Holzheu, S., and Borken, W.: Inorganic Carbon Leaching From a Warmed and Irrigated Carbonate Forest Soil, Front. Forests Global Change, 2, <ext-link xlink:href="https://doi.org/10.3389/ffgc.2019.00040" ext-link-type="DOI">10.3389/ffgc.2019.00040</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib60"><label>60</label><mixed-citation>Shamshuddin, J., Anda, M., Fauziah, C. I., and Omar, S. S. R.: Growth of cocoa planted on highly weathered soil as affected by application of basalt and/or compost, Commun. Soil Sci. Plan., 42, 2751–2766, <ext-link xlink:href="https://doi.org/10.1080/00103624.2011.622822" ext-link-type="DOI">10.1080/00103624.2011.622822</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib61"><label>61</label><mixed-citation>Smith, P., Davis, S. J., Creutzig, F., Fuss, S., Minx, J., Gabrielle, B., Kato, E., Jackson, R. B., Cowie, A., Kriegler, E., Van Vuuren, D. P., Rogelj, J., Ciais, P., Milne, J., Canadell, J. G., McCollum, D., Peters, G., Andrew, R., Krey, V., and Yongsung, C.: Biophysical and economic limits to negative CO<sub>2</sub> emissions, Nat. Clim. Change, 6, 42–50, <ext-link xlink:href="https://doi.org/10.1038/nclimate2870" ext-link-type="DOI">10.1038/nclimate2870</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib62"><label>62</label><mixed-citation>Sokol, N. W., Sohng, J., Moreland, K., Slessarev, E., Goertzen, H., Schmidt, R., Samaddar, S., Holzer, I., Almaraz, M., Geoghegan, E., Houlton, B., Montañez, I., Pett-Ridge, J., and Scow, K.: Reduced accrual of mineral-associated organic matter after two years of enhanced rock weathering in cropland soils, though no net losses of soil organic carbon, Biogeochemistry, 167, 989–1005, <ext-link xlink:href="https://doi.org/10.1007/s10533-024-01160-0" ext-link-type="DOI">10.1007/s10533-024-01160-0</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib63"><label>63</label><mixed-citation>Steinwidder, L., Boito, L., Frings, P. J., Niron, H., Rijnders, J., De Schutter, A., Vienne, A., and Vicca, S.: Beyond Inorganic C: Soil Organic C as a Key Pathway for Carbon Sequestration in Enhanced Weathering, Global Change Biol., 31, <ext-link xlink:href="https://doi.org/10.1111/gcb.70340" ext-link-type="DOI">10.1111/gcb.70340</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib64"><label>64</label><mixed-citation>Strefler, J., Amann, T., Bauer, N., Kriegler, E., and Hartmann, J.: Potential and costs of carbon dioxide removal by enhanced weathering of rocks, Environ. Res. Lett., 13, 034010, <ext-link xlink:href="https://doi.org/10.1088/1748-9326/aaa9c4" ext-link-type="DOI">10.1088/1748-9326/aaa9c4</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib65"><label>65</label><mixed-citation>Suarez, D. L. and Grieve, C. M.: Predicting cation ratios in corn from saline solution composition, J. Exp. Bot., 39, 605–612, <ext-link xlink:href="https://doi.org/10.1093/jxb/39.5.605" ext-link-type="DOI">10.1093/jxb/39.5.605</ext-link>, 1988.</mixed-citation></ref>
      <ref id="bib1.bib66"><label>66</label><mixed-citation>Swoboda, P., Döring, T. F., and Hamer, M.: Remineralizing soils? The agricultural usage of silicate rock powders: A review, Sci. Total Environ., 807, 150976, <ext-link xlink:href="https://doi.org/10.1016/j.scitotenv.2021.150976" ext-link-type="DOI">10.1016/j.scitotenv.2021.150976</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib67"><label>67</label><mixed-citation>Takaya, Y., Wu, M., and Kato, Y.: Unique environmental conditions required for dawsonite formation: Implications from dawsonite synthesis experiments under alkaline conditions, ACS Earth Space Chem., 3, 285–294, <ext-link xlink:href="https://doi.org/10.1021/acsearthspacechem.8b00121" ext-link-type="DOI">10.1021/acsearthspacechem.8b00121</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib68"><label>68</label><mixed-citation>Taylor, L. L., Driscoll, C. T., Groffman, P. M., Rau, G. H., Blum, J. D., and Beerling, D. J.: Increased carbon capture by a silicate-treated forested watershed affected by acid deposition, Biogeosciences, 18, 169–188, <ext-link xlink:href="https://doi.org/10.5194/bg-18-169-2021" ext-link-type="DOI">10.5194/bg-18-169-2021</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib69"><label>69</label><mixed-citation>te Pas, E. E. E. M., Hagens, M., and Comans, R. N. J.: Assessment of the enhanced weathering potential of different silicate minerals to improve soil quality and sequester CO<sub>2</sub>, Front. Clim., 4, 954064, <ext-link xlink:href="https://doi.org/10.3389/fclim.2022.954064" ext-link-type="DOI">10.3389/fclim.2022.954064</ext-link>, 2023. </mixed-citation></ref>
      <ref id="bib1.bib70"><label>70</label><mixed-citation>te Pas, E. E. E. M., Chang, E., Marklein, A. R., Comans, R. N. J., and Hagens, M.: Accounting for retarded weathering products in comparing methods for quantifying carbon dioxide removal in a short-term enhanced weathering study, Front. Clim., 7, 1524998, <ext-link xlink:href="https://doi.org/10.3389/fclim.2024.1524998" ext-link-type="DOI">10.3389/fclim.2024.1524998</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib71"><label>71</label><mixed-citation>Tessier, A., Campbell, P. G. C., and Bisson, M.: Sequential Extraction Procedure for the Speciation of Particulate Trace Metals, Anal. Chem., 51, 844–851, <ext-link xlink:href="https://doi.org/10.1021/ac50043a017" ext-link-type="DOI">10.1021/ac50043a017</ext-link>, 1979.</mixed-citation></ref>
      <ref id="bib1.bib72"><label>72</label><mixed-citation>Tipping, E. and Hurley, M. A.: A unifying model of cation binding by humic substances, Geochim. Cosmochim. Ac., 56, 3627–3641, <ext-link xlink:href="https://doi.org/10.1016/0016-7037(92)90158-F" ext-link-type="DOI">10.1016/0016-7037(92)90158-F</ext-link>, 1992.</mixed-citation></ref>
      <ref id="bib1.bib73"><label>73</label><mixed-citation> Van Bemmelen, J.: Über Die Bestimmung Des Wassers, Des Humus, Des Schwefels, Der in Den Colloïdalen Silikaten Gebundenen Kieselsäure, Des Mangans U. S. W. Im Ackerboden, Landw. Vers. Stat., 37, 279–290, 1890.</mixed-citation></ref>
      <ref id="bib1.bib74"><label>74</label><mixed-citation>Van Der Bauwhede, R., Muys, B., Vancampenhout, K., and Smolders, E.: Accelerated weathering of silicate rock dusts predicts the slow-release liming in soils depending on rock mineralogy, soil acidity, and test methodology, Geoderma, 441, 116734, <ext-link xlink:href="https://doi.org/10.1016/j.geoderma.2023.116734" ext-link-type="DOI">10.1016/j.geoderma.2023.116734</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib75"><label>75</label><mixed-citation>Van Straaten, P.: Farming with rocks and minerals: Challenges and opportunities, An. Acad. Bras. Cienc., 78, 731–747, <ext-link xlink:href="https://doi.org/10.1590/S0001-37652006000400009" ext-link-type="DOI">10.1590/S0001-37652006000400009</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib76"><label>76</label><mixed-citation>Vienne, A., Poblador, S., Portillo-Estrada, M., Hartmann, J., Ijiehon, S., Wade, P., and Vicca, S.: Enhanced Weathering Using Basalt Rock Powder: Carbon Sequestration, Co-benefits and Risks in a Mesocosm Study With Solanum tuberosum, Front. Clim., 4, 869456, <ext-link xlink:href="https://doi.org/10.3389/fclim.2022.869456" ext-link-type="DOI">10.3389/fclim.2022.869456</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib77"><label>77</label><mixed-citation>Vienne, A.: EW range of basalt amendment maize 2021 mesocosms, Zenodo [code and data set], <ext-link xlink:href="https://doi.org/10.5281/zenodo.15129984" ext-link-type="DOI">10.5281/zenodo.15129984</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib78"><label>78</label><mixed-citation>Vienne, A., Frings, P., Poblador, S., Steinwidder, L., Rijnders, J., Schoelynck, J., Vinduskova, O., and Vicca, S.: Earthworms in an enhanced weathering mesocosm experiment: Effects on soil carbon sequestration, base cation exchange and soil CO<sub>2</sub> efflux, Soil Biol. Biochem., 199, 109596, <ext-link xlink:href="https://doi.org/10.1016/j.soilbio.2024.109596" ext-link-type="DOI">10.1016/j.soilbio.2024.109596</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib79"><label>79</label><mixed-citation>Wolf-Gladrow, D. A., Zeebe, R. E., Klaas, C., Körtzinger, A., and Dickson, A. G.: Total alkalinity: The explicit conservative expression and its application to biogeochemical processes, Mar. Chem., 106, 287–300, <ext-link xlink:href="https://doi.org/10.1016/j.marchem.2007.01.006" ext-link-type="DOI">10.1016/j.marchem.2007.01.006</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib80"><label>80</label><mixed-citation>Xu, T., Yuan, Z., Vicca, S., Goll, D. S., Li, G., Lin, L., Chen, H., Bi, B., Chen, Q., Li, C., Wang, X., Wang, C., Hao, Z., Fang, Y., and Beerling, D. J.: Enhanced silicate weathering accelerates forest carbon sequestration by stimulating the soil mineral carbon pump, Global Change Biol., 30, e17464, <ext-link xlink:href="https://doi.org/10.1111/gcb.17464" ext-link-type="DOI">10.1111/gcb.17464</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib81"><label>81</label><mixed-citation>Zhang, S., Planavsky, N. J., Katchinoff, J., Raymond, P. A., Kanzaki, Y., Reershemius, T., and Reinhard, C. T.: River chemistry constraints on the carbon capture potential of surficial enhanced rock weathering, Limnol. Oceanogr., 67, S148–S157, <ext-link xlink:href="https://doi.org/10.1002/lno.12244" ext-link-type="DOI">10.1002/lno.12244</ext-link>, 2022.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Weathering without realizing inorganic CO<sub>2</sub> removal revealed through base cation monitoring</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
      
Amann, T. and Hartmann, J.: Carbon Accounting for Enhanced Weathering, Front. Clim., 4, 849948, <a href="https://doi.org/10.3389/fclim.2022.849948" target="_blank">https://doi.org/10.3389/fclim.2022.849948</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
      
Amann, T., Hartmann, J., Struyf, E., De Oliveira Garcia, W., Fischer, E. K.,
Janssens, I., Meire, P., and Schoelynck, J.: Enhanced Weathering and related
element fluxes – A cropland mesocosm approach, Biogeosciences, 17, 103–119,
<a href="https://doi.org/10.5194/bg-17-103-2020" target="_blank">https://doi.org/10.5194/bg-17-103-2020</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
      
Amann, T., Hartmann, J., Hellmann, R., Pedrosa, E. T., and Malik, A.: Enhanced weathering potentials – the role of in situ CO<sub>2</sub> and grain size
distribution, Front. Clim., 4, 929268, <a href="https://doi.org/10.3389/fclim.2022.929268" target="_blank">https://doi.org/10.3389/fclim.2022.929268</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
      
Babiker, M., Berndes, G., Blok, K., Cohen, B., Cowie, A.,Geden, O., Ginzburg, V., Leip, A., Smith, P., Sugiyama,M., and Yamba, F.: Cross-sectoral perspectives, in: Climate Change 2022: Mitigation of Climate Change, Contribution of Working Group III to the Sixth Assessment Report of the Intergovernmental Panel on Climate Change, edited by: Shukla, P. R., Skea, J., Slade, R., Al Khourdajie, A., van Diemen,R., McCollum, D., Pathak, M., Some, S., Vyas, P., Fradera, R., Belkacemi, M., Hasija, A., Lisboa, G., Luz, S., and Malley, J.: 3 – Mitigation Pathways Compatible with Long-term Goals, Cambridge University Press, <a href="https://doi.org/10.1017/9781009157926.005" target="_blank">https://doi.org/10.1017/9781009157926.005</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
      
Barker, S.: Dissolution of Deep-Sea Carbonates, in: Encyclopedia of Quaternary Science, 2nd Edn., Vol. 2, Elsevier B.V.,
<a href="https://doi.org/10.1016/B978-0-444-53643-3.00289-2" target="_blank">https://doi.org/10.1016/B978-0-444-53643-3.00289-2</a>, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
      
Beerling, D. J., Kantzas, E. P., Lomas, M. R., Wade, P., Eufrasio, R. M., Renforth, P., Sarkar, B., Andrews, M. G., James, R. H., Pearce, C. R., Mercure, J. F., Pollitt, H., Holden, P. B., Edwards, N. R., Khanna, M., Koh, L., Quegan, S., Pidgeon, N. F., Janssens, I. A, Hansen, J., and Banwart, S. A.: Potential for large-scale CO<sub>2</sub> removal via enhanced rock weathering with croplands, Nature, 583, 242–248, <a href="https://doi.org/10.1038/s41586-020-2448-9" target="_blank">https://doi.org/10.1038/s41586-020-2448-9</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
      
Beerling, D. J., Epihov, D. Z., Kantola, I. B., Masters, M. D., Reershemius,
T., Planavsky, N. J., and Reinhard, C. T.: Enhanced weathering in the US Corn Belt delivers carbon removal with agronomic benefits, P. Natl. Acad. Sci. USA, 121, e2319436121, <a href="https://doi.org/10.1073/pnas.2319436121" target="_blank">https://doi.org/10.1073/pnas.2319436121</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
      
Berner, R. A.: A model for Atmospheric CO<sub>2</sub> over phanerozoic time, Am. J.
Sci., 291, 339–376, 1991.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
      
Bijma, J., Hagens, M., Hammes, J. S., Planavsky, N., Pogge von Strandmann, P. A. E., Reershemius, T., Reinhard, C. T., Renforth, P., Suhrhoff, T. J., Vicca, S., Vienne, A., and Wolf-Gladrow, D.: Reviews and syntheses: Carbon
vs. cation based MRV of Enhanced Rock Weathering and the issue of soil
organic carbon, Biogeosciences, 23, 53–75, <a href="https://doi.org/10.5194/bg-23-53-2026" target="_blank">https://doi.org/10.5194/bg-23-53-2026</a>, 2026.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
      
Blume, H., Brümmer, G. W., Horn, R., and Kögel-Knabner, I.:
Scheffer/Schachtschabel soil science, Springer, <a href="https://doi.org/10.1007/978-3-642-30942-7" target="_blank">https://doi.org/10.1007/978-3-642-30942-7</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
      
Brantley, S. L., White, A. F., and Kubicki, J. D.: Kinetics of water-rock
interaction, Springer, New York, <a href="https://doi.org/10.1007/978-0-387-73563-4" target="_blank">https://doi.org/10.1007/978-0-387-73563-4</a>, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
      
Brown, I. C.: A rapid method of determining exchangeable hydrogen and total
exchangeable bases of soils, Soil Sci., 56, 353–357,
<a href="https://doi.org/10.1097/00010694-194311000-00004" target="_blank">https://doi.org/10.1097/00010694-194311000-00004</a>, 1943.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
      
Buckingham, F. L., Henderson, G. M., Holdship, P., and Renforth, P.: Applied
Geochemistry Soil core study indicates limited CO<sub>2</sub> removal by enhanced
weathering in dry croplands in the UK, Appl. Geochem., 147, 105482,
<a href="https://doi.org/10.1016/j.apgeochem.2022.105482" target="_blank">https://doi.org/10.1016/j.apgeochem.2022.105482</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
      
Bullock, L. A., Yang, A., and Darton, R. C.: Kinetics-informed global assessment of mine tailings for CO<sub>2</sub> removal, Sci. Total Environ., 808,
152111, <a href="https://doi.org/10.1016/j.scitotenv.2021.152111" target="_blank">https://doi.org/10.1016/j.scitotenv.2021.152111</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
      
Buss, W., Hasemer, H., Ferguson, S., and Borevitz, J.: Stabilisation of soil
organic matter with rock dust partially counteracted by plants, Global Change
Biol., 30, <a href="https://doi.org/10.1111/gcb.17052" target="_blank">https://doi.org/10.1111/gcb.17052</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
      
Clarkson, M. O., Larkin, C. S., Swoboda, P., Reershemius, T., Suhrhoff, T.
J., Maesano, C. N., and Campbell, J. S.: A review of measurement for quantification of carbon dioxide removal by enhanced weathering in soil,
Front. Clim., 6, 1345224, <a href="https://doi.org/10.3389/fclim.2024.1345224" target="_blank">https://doi.org/10.3389/fclim.2024.1345224</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
      
Dietzen, C., Harrison, R., and Michelsen-Correa, S.: Effectiveness of enhanced mineral weathering as a carbon sequestration tool and alternative to agricultural lime: An incubation experiment, Int. J. Greenh. Gas Con., 74, 251–258, <a href="https://doi.org/10.1016/j.ijggc.2018.05.007" target="_blank">https://doi.org/10.1016/j.ijggc.2018.05.007</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
      
Dzombak, D. A. and Morel, F. M. M.: Surface complexation modeling: hydrous ferric oxide, John Wiley &amp; Sons, ISBN 0-471-63731-9, 1990.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
      
Fuss, S., Lamb, W. F., Callaghan, M. W., Hilaire, J., Creutzig, F., Amann, T., Beringer, T., De Oliveira Garcia, W., Hartmann, J., Khanna, T., Luderer,
G., Nemet, G. F., Rogelj, J., Smith, P., Vicente, J. V., Wilcox, J., Dominguez, M. D. M. Z., and Minx, J. C.: Negative emissions – Part 2: Costs,
potentials and side effects, Environ. Res. Lett., 13, 063002,
<a href="https://doi.org/10.1088/1748-9326/aabf9f" target="_blank">https://doi.org/10.1088/1748-9326/aabf9f</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
      
Gao, Y., Lu, Y., Wu, M., Liang, E., Li, Y., Zhang, D., Yin, Z., Ren, X., Dai, Y., Deng, D., and Chen, J.: Ability to remove Na<sup>+</sup> and retain K<sup>+</sup> correlates with salt tolerance in two maize inbred lines seedlings, Front.
Plant Sci., 7, 1716, <a href="https://doi.org/10.3389/fpls.2016.01716" target="_blank">https://doi.org/10.3389/fpls.2016.01716</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
      
Gelman, A. and Hill, J.: Data analysis using regression and multilevel/hierarchical models, Cambridge University Press,
<a href="https://doi.org/10.1017/CBO9780511790942" target="_blank">https://doi.org/10.1017/CBO9780511790942</a>, 2007.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
      
Georgiou, K., Jackson, R. B., Vindušková, O., Abramoff, R. Z., Ahlström, A., Feng, W., Harden, J. W., Pellegrini, A. F. A., Polley, H.
W., Soong, J. L., Riley, W. J., and Torn, M. S.: Global stocks and capacity of mineral-associated soil organic carbon, Nat. Commun., 13, 3797,
<a href="https://doi.org/10.1038/s41467-022-31540-9" target="_blank">https://doi.org/10.1038/s41467-022-31540-9</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
      
Gislason, S. R. and Oelkers, E. H.: Mechanism, rates, and consequences of basaltic glass dissolution: II. An experimental study of the dissolution rates of basaltic glass as a function of pH and temperature, Geochim. Cosmochim. Ac., 67, 3817–3832, <a href="https://doi.org/10.1016/S0016-7037(03)00176-5" target="_blank">https://doi.org/10.1016/S0016-7037(03)00176-5</a>, 2003.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
      
Gudbrandsson, S., Wolff-Boenisch, D., Gislason, S. R. and Oelkers, E. H.: An
experimental study of crystalline basalt dissolution from pH 2 to 11 and
temperatures from 5 to 75&thinsp;°C, Geochim. Cosmochim. Ac., 75, 5496–5509, <a href="https://doi.org/10.1016/j.gca.2011.06.035" target="_blank">https://doi.org/10.1016/j.gca.2011.06.035</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
      
Haque, F., Santos, R. M., Dutta, A., Thimmanagari, M., and Chiang, Y. W.:
Co-Benefits of Wollastonite Weathering in Agriculture: CO<sub>2</sub> Sequestration and Promoted Plant Growth, ACS Omega, 4, 1425–1433,
<a href="https://doi.org/10.1021/acsomega.8b02477" target="_blank">https://doi.org/10.1021/acsomega.8b02477</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
      
Haque, F., Santos, R. M., and Chiang, Y. W.: Optimizing Inorganic Carbon
Sequestration and Crop Yield With Wollastonite Soil Amendment in a Microplot
Study, Front. Plant Sci., 11, 1012, <a href="https://doi.org/10.3389/fpls.2020.01012" target="_blank">https://doi.org/10.3389/fpls.2020.01012</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
      
Heckman, K., Hicks Pries, C. E., Lawrence, C. R., Rasmussen, C., Crow, S.
E., Hoyt, A. M., von Fromm, S. F., Shi, Z., Stoner, S., McGrath, C., Beem-Miller, J., Berhe, A. A., Blankinship, J. C., Keiluweit, M., Marín-Spiotta, E., Monroe, J. G., Plante, A. F., Schimel, J., Sierra, C. A., and Wagai, R.: Beyond bulk: Density fractions explain heterogeneity in global soil carbon abundance and persistence, Global Change Biol., 28, 1178–1196, <a href="https://doi.org/10.1111/gcb.16023" target="_blank">https://doi.org/10.1111/gcb.16023</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>
      
Hermanska, M., Voigt, M. J., Marieni, C., Declercq, J., and Oelkers, E. H.:
A comprehensive and internally consistent mineral dissolution rate database:
Part I: Primary silicate minerals and glasses, Chem. Geol., 597, 120807,
<a href="https://doi.org/10.1016/j.chemgeo.2022.120807" target="_blank">https://doi.org/10.1016/j.chemgeo.2022.120807</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
      
Holzer, I. O., Nocco, M. A., and Houlton, B. Z.: Direct evidence for atmospheric carbon dioxide removal via enhanced weathering in cropland soil,
Environ. Res. Commun., 5, 101003, <a href="https://doi.org/10.1088/2515-7620/acfd89" target="_blank">https://doi.org/10.1088/2515-7620/acfd89</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
      
Janssens, I. A., Roobroeck, D., Sardans, J., Obersteiner, M., Peñuelas,
J., Richter, A., Smith, P., Verbruggen, E., and Vicca, S.: Negative erosion
and negative emissions: Combining multiple land-based carbon dioxide removal
techniques to rebuild fertile topsoils and enhance food production, Front.
Clim., 4, 919343, <a href="https://doi.org/10.3389/fclim.2022.928403" target="_blank">https://doi.org/10.3389/fclim.2022.928403</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
      
Kalinichev, A. G., Iskrenova-Tchoukova, E., Ahn, W. Y., Clark, M. M., and
Kirkpatrick, R. J.: Effects of Ca2+ on supramolecular aggregation of natural organic matter in aqueous solutions: A comparison of molecular modeling approaches, Geoderma, 169, 27–32, <a href="https://doi.org/10.1016/j.geoderma.2010.09.002" target="_blank">https://doi.org/10.1016/j.geoderma.2010.09.002</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
      
Kanzaki, Y., Planavsky, N. J., Zhang, S., Jordan, J., Suhrhoff, T. J., and
Reinhard, C. T.: Soil cation storage is a key control on the carbon removal
dynamics of enhanced weathering, Environ. Res. Lett., 20, 074055, <a href="https://doi.org/10.1088/1748-9326/ade0d5" target="_blank">https://doi.org/10.1088/1748-9326/ade0d5</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
      
Kelland, M. E., Wade, P. W., Lewis, A. L., Taylor, L. L., Sarkar, B.,
Andrews, M. G., Lomas, M. R., Cotton, T. E. A., Kemp, S. J., James, R. H.,
Pearce, C. R., Hartley, S. E., Hodson, M. E., Leake, J. R., Banwart, S. A.,
and Beerling, D. J.: Increased yield and CO<sub>2</sub> sequestration potential with the C<sub>4</sub> cereal Sorghum bicolor cultivated in basaltic rock dust-amended agricultural soil, Global Change Biol., 26, 3658–3676,
<a href="https://doi.org/10.1111/gcb.15089" target="_blank">https://doi.org/10.1111/gcb.15089</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
      
Klemme, A., Rixen, T., Müller, M., Notholt, J., and Warneke, T.: Destabilization of carbon in tropical peatlands by enhanced weathering,
Commun. Earth Environ., 3, 212, <a href="https://doi.org/10.1038/s43247-022-00544-0" target="_blank">https://doi.org/10.1038/s43247-022-00544-0</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
      
Kowalczyk, K. A., Amann, T., Strefler, J., Vorrath, M. E., Hartmann, J., De Marco, S., Renforth, P., and Foteinis, S.: Marine Carbon Dioxide Removal by alkalinization should no longer be overlooked, Environ. Res. Lett., 19,
011003, <a href="https://doi.org/10.1088/1748-9326/ad5192" target="_blank">https://doi.org/10.1088/1748-9326/ad5192</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>
      
Larkin, C. S., Andrews, M. G., Pearce, C. R., Yeong, K. L., Beerling, D. J.,
Bellamy, J., Benedick, S., Freckleton, R. P., Goring-Harford, H., Sadekar,
S., and James, R. H.: Quantification of CO<sub>2</sub> removal in a large-scale
enhanced weathering field trial on an oil palm plantation in Sabah, Malaysia, Front. Clim., 4, 959229, <a href="https://doi.org/10.3389/fclim.2022.959229" target="_blank">https://doi.org/10.3389/fclim.2022.959229</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>
      
Lavallee, J. M., Soong, J. L., and Cotrufo, M. F.: Conceptualizing soil
organic matter into particulate and mineral-associated forms to address global change in the 21st century, Global Change Biol., 26, 261–273,
<a href="https://doi.org/10.1111/gcb.14859" target="_blank">https://doi.org/10.1111/gcb.14859</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
      
Lefebvre, D., Goglio, P., Williams, A., Manning, D. A. C., Carlos, A.,
Azevedo, D., Bergmann, M., Meersmans, J., and Smith, P.: Assessing the
potential of soil carbonation and enhanced weathering through Life Cycle
Assessment: A case study for Sao Paulo State, Brazil, J. Clean. Product., 233, 468–481, <a href="https://doi.org/10.1016/j.jclepro.2019.06.099" target="_blank">https://doi.org/10.1016/j.jclepro.2019.06.099</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>
      
Lopez-Sangil, L. and Rovira, P.: Sequential chemical extractions of the
mineral-associated soil organic matter: An integrated approach for the
fractionation of organo-mineral complexes, Soil Biol. Biochem., 62, 57–67,
<a href="https://doi.org/10.1016/j.soilbio.2013.03.004" target="_blank">https://doi.org/10.1016/j.soilbio.2013.03.004</a>, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>
      
Manning, D. A. C., Renforth, P., Lopez-Capel, E., Robertson, S., and Ghazireh, N.: Carbonate precipitation in artificial soils produced from basaltic quarry fines and composts: An opportunity for passive carbon
sequestration, Int. J. Greenh. Gas Con., 17, 309–317,
<a href="https://doi.org/10.1016/j.ijggc.2013.05.012" target="_blank">https://doi.org/10.1016/j.ijggc.2013.05.012</a>, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>
      
Mason, J., Lin, E., Grono, E., and Denham, T.: QEMSCAN<span style="position:relative; bottom:0.5em; " class="text">®</span> analysis of clay-rich stratigraphy associated with early agricultural contexts at Kuk Swamp, Papua New Guinea, J. Archaeol. Sci. Rep., 42, 103356, <a href="https://doi.org/10.1016/j.jasrep.2022.103356" target="_blank">https://doi.org/10.1016/j.jasrep.2022.103356</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>
      
McDermott, F., Bryson, M., Magee, R., and van Acken, D.: Enhanced weathering
for CO<sub>2</sub> removal using carbonate-rich crushed returned concrete; a pilot
study from SE Ireland, Appl. Geochem., 169, 106056, <a href="https://doi.org/10.1016/j.apgeochem.2024.106056" target="_blank">https://doi.org/10.1016/j.apgeochem.2024.106056</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>
      
Minx, J. C., Lamb, W. F., Callaghan, M. W., Fuss, S., Hilaire, J., Creutzig,
F., Amann, T., Beringer, T., De Oliveira Garcia, W., Hartmann, J., Khanna, T., Lenzi, D., Luderer, G., Nemet, G. F., Rogelj, J., Smith, P., Vicente
Vicente, J. L., Wilcox, J., and Dominguez, M. D. M. Z.: Negative emissions -
Part 1: Research landscape and synthesis, Environ. Res. Lett., 13, 063001,
<a href="https://doi.org/10.1088/1748-9326/aabf9b" target="_blank">https://doi.org/10.1088/1748-9326/aabf9b</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>
      
Morse, J. W., Arvidson, R. S., and Lüttge, A.: Calcium carbonate formation and dissolution, Chem. Rev., 107, 342–381, <a href="https://doi.org/10.1021/cr050358j" target="_blank">https://doi.org/10.1021/cr050358j</a>, 2007.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>
      
Niron, H., Vienne, A., Frings, P., Poetra, R., and Vicca, S.: Exploring the
synergy of enhanced weathering and Bacillus subtilis: A promising strategy for sustainable agriculture, Global Change Biol., 30, e17511,
<a href="https://doi.org/10.1111/gcb.17511" target="_blank">https://doi.org/10.1111/gcb.17511</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>
      
Öquist, M. G., Wallin, M., Seibert, J., Bishop, K., and Laudon, H.:
Dissolved Inorganic Carbon Export Across the Soil/Stream Interface and Its
Fate in a Boreal Headwater Stream, Environ. Sci. Technol., 43, 7364–7369, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>47</label><mixed-citation>
      
Palandri, J. L. and Kharaka, Y. K.: A compilation of rate parameters of water-mineral interaction kinetics for application to geochemical modeling, USGS Open-File Report 2004-1068, USGS, <a href="https://doi.org/10.3133/ofr20041068" target="_blank">https://doi.org/10.3133/ofr20041068</a>, 2004.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>48</label><mixed-citation>
      
Poeplau, C., Don, A., Six, J., Kaiser, M., Benbi, D., Chenu, C., Cotrufo, M.
F., Derrien, D., Gioacchini, P., Grand, S., Gregorich, E., Griepentrog, M.,
Gunina, A., Haddix, M., Kuzyakov, Y., Kühnel, A., Macdonald, L. M., Soong, J., Trigalet, S., and Nieder, R.: Isolating organic carbon fractions
with varying turnover rates in temperate agricultural soils – A comprehensive method comparison, Soil Biol. Biochem., 125, 10–26,
<a href="https://doi.org/10.1016/j.soilbio.2018.06.025" target="_blank">https://doi.org/10.1016/j.soilbio.2018.06.025</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>49</label><mixed-citation>
      
Pogge von Strandmann, P. A. E., Liu, X., Liu, C. Y., Wilson, D. J., Hammond,
S. J., Tarbuck, G., Aristilde, L., Krause, A. J., and Fraser, W. T.: Lithium
isotope behaviour during basalt weathering experiments amended with organic
acids, Geochim. Cosmochim. Ac., 328, 37–57, <a href="https://doi.org/10.1016/j.gca.2022.04.032" target="_blank">https://doi.org/10.1016/j.gca.2022.04.032</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>50</label><mixed-citation>
      
Power, I. M., Hatten, V. N. J., Guo, M., Rausis, K., and Klyn-Hesselink, H.:
Are enhanced rock weathering rates overestimated? A few geochemical and
mineralogical pitfalls, Front. Clim., 6, 1510747, <a href="https://doi.org/10.3389/fclim.2024.1510747" target="_blank">https://doi.org/10.3389/fclim.2024.1510747</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>51</label><mixed-citation>
      
Reershemius, T., Kelland, M. E., Jordan, J. S., Davis, I. R., D'Ascanio, R.,
Kalderon-Asael, B., Asael, D., Suhrhoff, T. J., Epihov, D. Z., Beerling, D.
J., Reinhard, C. T., and Planavsky, N. J.: Initial Validation of a Soil-Based Mass-Balance Approach for Empirical Monitoring of Enhanced Rock Weathering Rates, Environ. Sci. Technol., 57, 19497–19507, <a href="https://doi.org/10.1021/acs.est.3c03609" target="_blank">https://doi.org/10.1021/acs.est.3c03609</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>52</label><mixed-citation>
      
Renforth, P.: The potential of enhanced weathering in the UK, Int. J. Greenh. Gas Con., 10, 229–243, <a href="https://doi.org/10.1016/j.ijggc.2012.06.011" target="_blank">https://doi.org/10.1016/j.ijggc.2012.06.011</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>53</label><mixed-citation>
      
Renforth, P.: The negative emission potential of alkaline materials, Nat.
Commun., 10, 1401, <a href="https://doi.org/10.1038/s41467-019-09475-5" target="_blank">https://doi.org/10.1038/s41467-019-09475-5</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>54</label><mixed-citation>
      
Renforth, P. and Henderson, G.: Assessing ocean alkalinity for carbon sequestration, Rev. Geophys., 55, 636–674, <a href="https://doi.org/10.1002/2016RG000533" target="_blank">https://doi.org/10.1002/2016RG000533</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>55</label><mixed-citation>
      
Reynaert, S., Vienne, A., De Boeck, H. J., D'Hose, T., Janssens, I., Nijs, I., Portillo-Estrada, M., Verbruggen, E., Vicca, S., and Poblador, S.: Basalt addition improves the performance of young grassland monocultures under more persistent weather featuring longer dry and wet spells, Agr. Forest Meteorol., 340, 109610, <a href="https://doi.org/10.1016/j.agrformet.2023.109610" target="_blank">https://doi.org/10.1016/j.agrformet.2023.109610</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>56</label><mixed-citation>
      
Rijnders, J., Vienne, A., and Vicca, S.: Effects of basalt, concrete fines, and steel slag on maize growth and toxic trace element accumulation in an
enhanced weathering experiment, Biogeosciences, 22, 2803–2829,
<a href="https://doi.org/10.5194/bg-22-2803-2025" target="_blank">https://doi.org/10.5194/bg-22-2803-2025</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>57</label><mixed-citation>
      
Rowley, M. C., Grand, S., and Verrecchia, É. P.: Calcium-mediated stabilisation of soil organic carbon, Biogeochemistry, 137, 27–49,
<a href="https://doi.org/10.1007/s10533-017-0410-1" target="_blank">https://doi.org/10.1007/s10533-017-0410-1</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>58</label><mixed-citation>
      
Ryan, P. C., Hillier, S., and Wall, A. J.: Stepwise effects of the BCR sequential chemical extraction procedure on dissolution and metal release
from common ferromagnesian clay minerals: A combined solution chemistry and
X-ray powder diffraction study, Sci. Total Environ., 407, 603–614,
<a href="https://doi.org/10.1016/j.scitotenv.2008.09.019" target="_blank">https://doi.org/10.1016/j.scitotenv.2008.09.019</a>, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>59</label><mixed-citation>
      
Schindlbacher, A., Beck, K., Holzheu, S., and Borken, W.: Inorganic Carbon Leaching From a Warmed and Irrigated Carbonate Forest Soil, Front. Forests Global Change, 2, <a href="https://doi.org/10.3389/ffgc.2019.00040" target="_blank">https://doi.org/10.3389/ffgc.2019.00040</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>60</label><mixed-citation>
      
Shamshuddin, J., Anda, M., Fauziah, C. I., and Omar, S. S. R.: Growth of cocoa planted on highly weathered soil as affected by application of basalt and/or compost, Commun. Soil Sci. Plan., 42, 2751–2766,
<a href="https://doi.org/10.1080/00103624.2011.622822" target="_blank">https://doi.org/10.1080/00103624.2011.622822</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>61</label><mixed-citation>
      
Smith, P., Davis, S. J., Creutzig, F., Fuss, S., Minx, J., Gabrielle, B.,
Kato, E., Jackson, R. B., Cowie, A., Kriegler, E., Van Vuuren, D. P., Rogelj, J., Ciais, P., Milne, J., Canadell, J. G., McCollum, D., Peters, G., Andrew, R., Krey, V., and Yongsung, C.: Biophysical and economic limits to negative CO<sub>2</sub> emissions, Nat. Clim. Change, 6, 42–50, <a href="https://doi.org/10.1038/nclimate2870" target="_blank">https://doi.org/10.1038/nclimate2870</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>62</label><mixed-citation>
      
Sokol, N. W., Sohng, J., Moreland, K., Slessarev, E., Goertzen, H., Schmidt,
R., Samaddar, S., Holzer, I., Almaraz, M., Geoghegan, E., Houlton, B., Montañez, I., Pett-Ridge, J., and Scow, K.: Reduced accrual of mineral-associated organic matter after two years of enhanced rock weathering in cropland soils, though no net losses of soil organic carbon, Biogeochemistry, 167, 989–1005, <a href="https://doi.org/10.1007/s10533-024-01160-0" target="_blank">https://doi.org/10.1007/s10533-024-01160-0</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>63</label><mixed-citation>
      
Steinwidder, L., Boito, L., Frings, P. J., Niron, H., Rijnders, J., De Schutter, A., Vienne, A., and Vicca, S.: Beyond Inorganic C: Soil Organic C as a Key Pathway for Carbon Sequestration in Enhanced Weathering, Global Change Biol., 31, <a href="https://doi.org/10.1111/gcb.70340" target="_blank">https://doi.org/10.1111/gcb.70340</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>64</label><mixed-citation>
      
Strefler, J., Amann, T., Bauer, N., Kriegler, E., and Hartmann, J.: Potential and costs of carbon dioxide removal by enhanced weathering of rocks, Environ. Res. Lett., 13, 034010, <a href="https://doi.org/10.1088/1748-9326/aaa9c4" target="_blank">https://doi.org/10.1088/1748-9326/aaa9c4</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>65</label><mixed-citation>
      
Suarez, D. L. and Grieve, C. M.: Predicting cation ratios in corn from saline solution composition, J. Exp. Bot., 39, 605–612,
<a href="https://doi.org/10.1093/jxb/39.5.605" target="_blank">https://doi.org/10.1093/jxb/39.5.605</a>, 1988.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>66</label><mixed-citation>
      
Swoboda, P., Döring, T. F., and Hamer, M.: Remineralizing soils? The
agricultural usage of silicate rock powders: A review, Sci. Total Environ.,
807, 150976, <a href="https://doi.org/10.1016/j.scitotenv.2021.150976" target="_blank">https://doi.org/10.1016/j.scitotenv.2021.150976</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>67</label><mixed-citation>
      
Takaya, Y., Wu, M., and Kato, Y.: Unique environmental conditions required for dawsonite formation: Implications from dawsonite synthesis experiments
under alkaline conditions, ACS Earth Space Chem., 3, 285–294,
<a href="https://doi.org/10.1021/acsearthspacechem.8b00121" target="_blank">https://doi.org/10.1021/acsearthspacechem.8b00121</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>68</label><mixed-citation>
      
Taylor, L. L., Driscoll, C. T., Groffman, P. M., Rau, G. H., Blum, J. D.,
and Beerling, D. J.: Increased carbon capture by a silicate-treated forested
watershed affected by acid deposition, Biogeosciences, 18, 169–188,
<a href="https://doi.org/10.5194/bg-18-169-2021" target="_blank">https://doi.org/10.5194/bg-18-169-2021</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib69"><label>69</label><mixed-citation>
      
te Pas, E. E. E. M., Hagens, M., and Comans, R. N. J.: Assessment of the
enhanced weathering potential of different silicate minerals to improve soil
quality and sequester CO<sub>2</sub>, Front. Clim., 4, 954064,
<a href="https://doi.org/10.3389/fclim.2022.954064" target="_blank">https://doi.org/10.3389/fclim.2022.954064</a>, 2023.


    </mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>70</label><mixed-citation>
      
te Pas, E. E. E. M., Chang, E., Marklein, A. R., Comans, R. N. J., and Hagens, M.: Accounting for retarded weathering products in comparing methods for quantifying carbon dioxide removal in a short-term enhanced weathering
study, Front. Clim., 7, 1524998, <a href="https://doi.org/10.3389/fclim.2024.1524998" target="_blank">https://doi.org/10.3389/fclim.2024.1524998</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>71</label><mixed-citation>
      
Tessier, A., Campbell, P. G. C., and Bisson, M.: Sequential Extraction Procedure for the Speciation of Particulate Trace Metals, Anal. Chem., 51,
844–851, <a href="https://doi.org/10.1021/ac50043a017" target="_blank">https://doi.org/10.1021/ac50043a017</a>, 1979.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib72"><label>72</label><mixed-citation>
      
Tipping, E. and Hurley, M. A.: A unifying model of cation binding by humic
substances, Geochim. Cosmochim. Ac., 56, 3627–3641,
<a href="https://doi.org/10.1016/0016-7037(92)90158-F" target="_blank">https://doi.org/10.1016/0016-7037(92)90158-F</a>, 1992.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib73"><label>73</label><mixed-citation>
      
Van Bemmelen, J.: Über Die Bestimmung Des Wassers, Des Humus, Des
Schwefels, Der in Den Colloïdalen Silikaten Gebundenen Kieselsäure,
Des Mangans U. S. W. Im Ackerboden, Landw. Vers. Stat., 37, 279–290, 1890.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib74"><label>74</label><mixed-citation>
      
Van Der Bauwhede, R., Muys, B., Vancampenhout, K., and Smolders, E.:
Accelerated weathering of silicate rock dusts predicts the slow-release liming in soils depending on rock mineralogy, soil acidity, and test methodology, Geoderma, 441, 116734, <a href="https://doi.org/10.1016/j.geoderma.2023.116734" target="_blank">https://doi.org/10.1016/j.geoderma.2023.116734</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib75"><label>75</label><mixed-citation>
      
Van Straaten, P.: Farming with rocks and minerals: Challenges and opportunities, An. Acad. Bras. Cienc., 78, 731–747,
<a href="https://doi.org/10.1590/S0001-37652006000400009" target="_blank">https://doi.org/10.1590/S0001-37652006000400009</a>, 2006.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib76"><label>76</label><mixed-citation>
      
Vienne, A., Poblador, S., Portillo-Estrada, M., Hartmann, J., Ijiehon, S.,
Wade, P., and Vicca, S.: Enhanced Weathering Using Basalt Rock Powder: Carbon Sequestration, Co-benefits and Risks in a Mesocosm Study With Solanum tuberosum, Front. Clim., 4, 869456, <a href="https://doi.org/10.3389/fclim.2022.869456" target="_blank">https://doi.org/10.3389/fclim.2022.869456</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib77"><label>77</label><mixed-citation>
      
Vienne, A.: EW range of basalt amendment maize 2021 mesocosms, Zenodo [code and data set], <a href="https://doi.org/10.5281/zenodo.15129984" target="_blank">https://doi.org/10.5281/zenodo.15129984</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib78"><label>78</label><mixed-citation>
      
Vienne, A., Frings, P., Poblador, S., Steinwidder, L., Rijnders, J.,
Schoelynck, J., Vinduskova, O., and Vicca, S.: Earthworms in an enhanced
weathering mesocosm experiment: Effects on soil carbon sequestration, base
cation exchange and soil CO<sub>2</sub> efflux, Soil Biol. Biochem., 199, 109596,
<a href="https://doi.org/10.1016/j.soilbio.2024.109596" target="_blank">https://doi.org/10.1016/j.soilbio.2024.109596</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib79"><label>79</label><mixed-citation>
      
Wolf-Gladrow, D. A., Zeebe, R. E., Klaas, C., Körtzinger, A., and
Dickson, A. G.: Total alkalinity: The explicit conservative expression and its application to biogeochemical processes, Mar. Chem., 106, 287–300,
<a href="https://doi.org/10.1016/j.marchem.2007.01.006" target="_blank">https://doi.org/10.1016/j.marchem.2007.01.006</a>, 2007.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib80"><label>80</label><mixed-citation>
      
Xu, T., Yuan, Z., Vicca, S., Goll, D. S., Li, G., Lin, L., Chen, H., Bi, B.,
Chen, Q., Li, C., Wang, X., Wang, C., Hao, Z., Fang, Y., and Beerling, D. J.: Enhanced silicate weathering accelerates forest carbon sequestration by
stimulating the soil mineral carbon pump, Global Change Biol., 30, e17464,
<a href="https://doi.org/10.1111/gcb.17464" target="_blank">https://doi.org/10.1111/gcb.17464</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib81"><label>81</label><mixed-citation>
      
Zhang, S., Planavsky, N. J., Katchinoff, J., Raymond, P. A., Kanzaki, Y.,
Reershemius, T., and Reinhard, C. T.: River chemistry constraints on the carbon capture potential of surficial enhanced rock weathering, Limnol. Oceanogr., 67, S148–S157, <a href="https://doi.org/10.1002/lno.12244" target="_blank">https://doi.org/10.1002/lno.12244</a>, 2022.

    </mixed-citation></ref-html>--></article>
