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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ESSD</journal-id><journal-title-group>
    <journal-title>Earth System Science Data</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ESSD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Earth Syst. Sci. Data</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1866-3516</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/essd-17-6173-2025</article-id><title-group><article-title>Radon-222 monitoring at German ICOS atmosphere stations</article-title><alt-title>Radon-222 monitoring at German ICOS atmosphere stations</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Gachkivskyi</surname><given-names>Maksym</given-names></name>
          <email>mgach@iup.uni-heidelberg.de</email>
        <ext-link>https://orcid.org/0009-0009-6007-6289</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Karstens</surname><given-names>Ute</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8985-7742</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Fischer</surname><given-names>Bernd</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Kubistin</surname><given-names>Dagmar</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5467-9309</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Müller-Williams</surname><given-names>Jennifer</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4840-7729</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Lindauer</surname><given-names>Matthias</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9274-8750</ext-link></contrib>
        <contrib contrib-type="author" deceased="yes" corresp="no" rid="aff1">
          <name><surname>Levin</surname><given-names>Ingeborg</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Institut für Umweltphysik, Heidelberg University, INF 229, 69120 Heidelberg, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>ICOS Central Radiocarbon Laboratory, Heidelberg University, Berliner Straße 53, 69120 Heidelberg, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>ICOS ERIC Carbon Portal, Physical Geography and Ecosystem Science, Lund University, Sölvegatan 12,  22362 Lund, Sweden</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Umweltbundesamt, Meßstelle Schauinsland, Schauinslandweg 2, 79254 Oberried, Germany</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Deutscher Wetterdienst, Meteorological Observatory Hohenpeißenberg, Albin-Schwaiger-Weg 10, 82383 Hohenpeißenberg, Germany</institution>
        </aff><author-comment content-type="deceased"><p>10 February 2024</p></author-comment>
      </contrib-group>
      <author-notes><corresp id="corr1">Maksym Gachkivskyi (mgach@iup.uni-heidelberg.de)</corresp></author-notes><pub-date><day>18</day><month>November</month><year>2025</year></pub-date>
      
      <volume>17</volume>
      <issue>11</issue>
      <fpage>6173</fpage><lpage>6197</lpage>
      <history>
        <date date-type="received"><day>4</day><month>December</month><year>2024</year></date>
           <date date-type="accepted"><day>6</day><month>July</month><year>2025</year></date>
           <date date-type="rev-recd"><day>19</day><month>June</month><year>2025</year></date>
           <date date-type="rev-request"><day>27</day><month>February</month><year>2025</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2025 Maksym Gachkivskyi et al.</copyright-statement>
        <copyright-year>2025</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://essd.copernicus.org/articles/17/6173/2025/essd-17-6173-2025.html">This article is available from https://essd.copernicus.org/articles/17/6173/2025/essd-17-6173-2025.html</self-uri><self-uri xlink:href="https://essd.copernicus.org/articles/17/6173/2025/essd-17-6173-2025.pdf">The full text article is available as a PDF file from https://essd.copernicus.org/articles/17/6173/2025/essd-17-6173-2025.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e170">Atmospheric measurements of the short-lived radioactive noble gas radon-222 (<inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula>) have many applications. Its concentrations are driven by atmospheric mixing as well as seasonal variations, which follow the seasonality of <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> exhalation from continental soils, with lower values during the wet winter and spring months compared to more dry summer conditions. Hence, it can be used as a tracer to distinguish marine from continental air masses or for transport model validation. The Heidelberg Radon Monitor (HRM) is a static filter detector measuring atmospheric <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">po</mml:mi></mml:mrow></mml:math></inline-formula>lonium (<inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula>), which is a progeny of <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula>. These measurements can be used to infer atmospheric <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> activity concentrations if the radioactive disequilibrium between <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> at the measurement site is known. In this study, <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> activity concentrations measured with the HRM at eight stations in the Integrated Carbon Observation System (ICOS) Germany  network are presented, along with guidelines for evaluating these data to estimate atmospheric <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> activity concentrations. In addition to the established line loss and disequilibrium corrections applied when sampling through long tubing or from air intake heights close to the ground, respectively, an upper limit for relative  humidity (RH) is suggested, where secular equilibrium can still be assumed. At higher RH, aerosol scavenging effects can cause disequilibrium between <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula>. Using comparison with the model this threshold is determined to be at about 98 <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> RH and was applied uniformly at all measurement sites. A clear diurnal cycle of <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> is observed at all German tower stations during the summer and autumn months as is a seasonal cycle with a maximum during summer and autumn months. Overall, our results demonstrate that the <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula>-based <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> measurements with the HRM are reliable if the equilibrium conditions between <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> can be ensured, i.e., for air intake heights above 80–90 <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> during conditions with  <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:mtext>RH</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">98</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>. The corrected and ready-to-use dataset of 10-<inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">year</mml:mi></mml:mrow></mml:math></inline-formula> radon activity concentrations from the eight ICOS stations is published alongside this paper (<ext-link xlink:href="https://doi.org/10.18160/Q2M8-B1HJ" ext-link-type="DOI">10.18160/Q2M8-B1HJ</ext-link>, <xref ref-type="bibr" rid="bib1.bibx16" id="altparen.1"/>).</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>European Metrology Programme for Innovation and Research</funding-source>
<award-id>19ENV01 traceRadon</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e453">Radon-222 (<inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula>) is a short-lived radioactive noble gas (half-life <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3.8</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula>), and it is a progeny of radium-226 (<inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">226</mml:mn></mml:msup><mml:mi mathvariant="normal">Ra</mml:mi></mml:mrow></mml:math></inline-formula>), which is a member of the primordial uranium-238 decay series. It is naturally produced in all soils, and as a gas it can escape from the soil air into the atmosphere. The exhalation rate of <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> from continental surfaces depends on the soil properties, such as grain size distribution, porosity, and <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">226</mml:mn></mml:msup><mml:mi mathvariant="normal">Ra</mml:mi></mml:mrow></mml:math></inline-formula> content, and it varies with soil moisture and other meteorological parameters <xref ref-type="bibr" rid="bib1.bibx45 bib1.bibx27" id="paren.2"><named-content content-type="pre">e.g.,</named-content></xref>. The <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> flux from (ocean) water surfaces is negligible <xref ref-type="bibr" rid="bib1.bibx51" id="paren.3"/> compared to that from continental surfaces. Therefore, <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> can serve as tracer to distinguish continental from marine air masses <xref ref-type="bibr" rid="bib1.bibx14 bib1.bibx48 bib1.bibx1" id="paren.4"><named-content content-type="pre">e.g.,</named-content></xref>. While the half-life of radon is short relative to synoptic timescales (approximately  4–12 <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula>), preventing it from accumulating in the atmosphere over longer timescales, it is long compared to mixing timescales in the atmospheric boundary layer (1 <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>), allowing it to act as a quasi-conservative tracer for studying boundary layer mixing and transport processes. These properties make <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> a suitable tracer for atmospheric boundary layer mixing or transport model validation studies <xref ref-type="bibr" rid="bib1.bibx23 bib1.bibx24 bib1.bibx56 bib1.bibx60" id="paren.5"><named-content content-type="pre">e.g.,</named-content></xref> and even for estimation of regional fluxes of other soil-borne trace gases by applying the radon tracer method <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx39 bib1.bibx42 bib1.bibx20" id="paren.6"><named-content content-type="pre">e.g.,</named-content></xref>, assuming that the spatial and temporal distribution of the <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> exhalation rate from continental surfaces is known.</p>
      <p id="d2e621">Owing to its applicability as an atmospheric transport tracer, <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> observations are recommended as a supplementary measurement component at all ICOS atmosphere stations <xref ref-type="bibr" rid="bib1.bibx22" id="paren.7"/>. For precise atmospheric <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> observations three fundamentally different measurement principles are available: (1) a two-filter dual-flow-loop detector developed by ANSTO, Australia <xref ref-type="bibr" rid="bib1.bibx59 bib1.bibx2" id="paren.8"/>, (2) an electrostatic deposition monitor developed by INTE-UPC, Spain <xref ref-type="bibr" rid="bib1.bibx19" id="paren.9"/>, both measuring <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> directly, and (3) static or moving filter detectors, which accumulate <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> progeny on a filter and calculate the atmospheric <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> activity concentration based on assumptions about the secular equilibrium between <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> and its progeny in the atmosphere <xref ref-type="bibr" rid="bib1.bibx55 bib1.bibx48 bib1.bibx47 bib1.bibx1 bib1.bibx40 bib1.bibx53" id="paren.10"><named-content content-type="pre">e.g.,</named-content></xref>. This latter <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> measurement principle is applied in the static filter system of the Heidelberg Radon Monitor <xref ref-type="bibr" rid="bib1.bibx40" id="paren.11"><named-content content-type="pre">HRM,</named-content></xref>, which measures the atmospheric <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> progeny <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> at German ICOS atmosphere stations and also at sites outside of Germany, including Neumayer station at the Antarctic coast <xref ref-type="bibr" rid="bib1.bibx58" id="paren.12"/> and the Amazon Tall Tower Observatory in Brazil <xref ref-type="bibr" rid="bib1.bibx43" id="paren.13"><named-content content-type="pre">ATTO,</named-content></xref>.</p>
      <p id="d2e761">While the static filter HRM is a compact and easy to handle instrument, it has some important caveats, which arise from the fact that <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> progeny and not <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> itself is measured. In the atmosphere, newly formed <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> progeny, such as <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula>, is attached to aerosols and  thus potentially affected by dry or wet deposition processes as well as loss in intake lines if sampling is conducted through long tubing <xref ref-type="bibr" rid="bib1.bibx41" id="paren.14"/>. Moreover, the state of radioactive equilibrium between progeny and soil-borne <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> in the atmosphere depends on the state of atmospheric stability and height above ground <xref ref-type="bibr" rid="bib1.bibx25" id="paren.15"/>. There may also be some delay in reaching secular radioactive equilibrium of its progeny after rapid increases in the <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> activity concentration. In the past, careful comparison measurements were conducted to evaluate the height dependence of the disequilibrium <xref ref-type="bibr" rid="bib1.bibx53 bib1.bibx21" id="paren.16"/>, which turned out to be negligible for measurement heights above ca. 80 <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> An empirical correction function to compensate for progeny loss in standard 8 <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> inner diameter Decabon tubing was determined by extensive laboratory experiments <xref ref-type="bibr" rid="bib1.bibx41" id="paren.17"/> and was applied, e.g., for the HRM progeny measurements at the German ICOS atmosphere stations to estimate <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> activity concentrations from the measured <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> data. A remaining uncertainty is the potential progeny loss due to aerosol scavenging and subsequent wet deposition at very high ambient air humidity,  which has not been investigated in detail yet.</p>
      <p id="d2e903">In this paper we present the atmospheric <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> activity concentration data from German ICOS stations spanning 11 years, from 2014 to 2024, and evaluate these data with respect to potential aerosol scavenging effects, depending on ambient air humidity. Such effects are most frequent at sites where the air intake can reach into clouds, i.e., when a tall tower is located on the top of a mountain or hill. We have therefore developed a relative humidity (RH) flagging threshold for the HRM that is to be applied to all stations based on re-evaluation of earlier comparison campaign data as well as preliminary regional transport model estimations of the atmospheric <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> activity concentration for the individual sites. The <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> data published along with this paper are flagged according to these thresholds.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Radon progeny observations at German ICOS atmosphere stations</title>
      <p id="d2e964">Radon progeny observations with the Heidelberg Radon Monitor (HRM) are conducted at eight ICOS atmosphere stations in Germany. All these ICOS atmosphere stations are operated and managed by the Meteorological Observatory Hohenpeißenberg of the German Meteorological Service (DWD), except for the station Schauinsland (SSL), which is run by the German Environment Agency (Umweltbundesamt, UBA). The stations are listed in Table <xref ref-type="table" rid="T1"/> together with their coordinates and intake heights. A map of Germany (Fig. <xref ref-type="fig" rid="F1"/>) shows their almost even distribution across the country. Except for Schauinsland, a mountain station in the Black Forest (1205 <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>), where the air intake is about 12 <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> above ground level (a.g.l.), all other <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> progeny measurements are conducted at towers from intake heights between 93–132 <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>. The Torfhaus and Hohenpeißenberg towers are located on top of moderately high hills in the Harz (Torfhaus, 801 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>) and in the pre-alpine region of southern Germany (Hohenpeißenberg, 934 <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>). All other stations are located in flat terrain at altitudes above sea level (a.s.l.) between 29–110 <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Detailed information about all (German) ICOS stations is available at the ICOS Carbon Portal (<uri>https://www.icos-cp.eu/observations/atmosphere/stations</uri>, last access: 10 September 2025).</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e1090">Parameters and locations of German ICOS stations with <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> measurements.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Station</oasis:entry>
         <oasis:entry colname="col2">Station code</oasis:entry>
         <oasis:entry colname="col3">Observation</oasis:entry>
         <oasis:entry colname="col4">Long (°)</oasis:entry>
         <oasis:entry colname="col5">Lat (°)</oasis:entry>
         <oasis:entry colname="col6">Station height</oasis:entry>
         <oasis:entry colname="col7">Intake height</oasis:entry>
         <oasis:entry colname="col8">Line</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(GAW ID)</oasis:entry>
         <oasis:entry colname="col3">start</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">m</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col7">(<inline-formula><mml:math id="M66" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col8">length <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mo>(</mml:mo><mml:mi mathvariant="normal">m</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Gartow</oasis:entry>
         <oasis:entry colname="col2">GAT</oasis:entry>
         <oasis:entry colname="col3">November 2015</oasis:entry>
         <oasis:entry colname="col4">53°04<sup>′</sup> <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">11°26<sup>′</sup> <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">E</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">70</oasis:entry>
         <oasis:entry colname="col7">132</oasis:entry>
         <oasis:entry colname="col8">147</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Steinkimmen</oasis:entry>
         <oasis:entry colname="col2">STE</oasis:entry>
         <oasis:entry colname="col3">October 2019</oasis:entry>
         <oasis:entry colname="col4">53°03<sup>′</sup> <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">08°28<sup>′</sup> <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">E</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">29</oasis:entry>
         <oasis:entry colname="col7">127</oasis:entry>
         <oasis:entry colname="col8">137</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Lindenberg</oasis:entry>
         <oasis:entry colname="col2">LIN</oasis:entry>
         <oasis:entry colname="col3">February 2015</oasis:entry>
         <oasis:entry colname="col4">52°10<sup>′</sup> <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">14°07<sup>′</sup> <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">E</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">73</oasis:entry>
         <oasis:entry colname="col7">98</oasis:entry>
         <oasis:entry colname="col8">158</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Torfhaus</oasis:entry>
         <oasis:entry colname="col2">TOH</oasis:entry>
         <oasis:entry colname="col3">April 2018</oasis:entry>
         <oasis:entry colname="col4">51°49<sup>′</sup> <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">10°32<sup>′</sup> <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">E</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">801</oasis:entry>
         <oasis:entry colname="col7">110</oasis:entry>
         <oasis:entry colname="col8">119</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Jülich</oasis:entry>
         <oasis:entry colname="col2">JUE</oasis:entry>
         <oasis:entry colname="col3">August 2021</oasis:entry>
         <oasis:entry colname="col4">50°54<sup>′</sup> <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">06°25<sup>′</sup> <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">E</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">98</oasis:entry>
         <oasis:entry colname="col7">120</oasis:entry>
         <oasis:entry colname="col8">131</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Karlsruhe</oasis:entry>
         <oasis:entry colname="col2">KIT</oasis:entry>
         <oasis:entry colname="col3">June 2017</oasis:entry>
         <oasis:entry colname="col4">49°06<sup>′</sup> <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">08°26<sup>′</sup> <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">E</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">110</oasis:entry>
         <oasis:entry colname="col7">100</oasis:entry>
         <oasis:entry colname="col8">112</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Schauinsland</oasis:entry>
         <oasis:entry colname="col2">SSL</oasis:entry>
         <oasis:entry colname="col3">February 2014</oasis:entry>
         <oasis:entry colname="col4">47°55<sup>′</sup> <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">07°55<sup>′</sup> <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">E</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">1205</oasis:entry>
         <oasis:entry colname="col7">12</oasis:entry>
         <oasis:entry colname="col8">12</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Hohenpeißenberg</oasis:entry>
         <oasis:entry colname="col2">HPB</oasis:entry>
         <oasis:entry colname="col3">October 2014</oasis:entry>
         <oasis:entry colname="col4">47°48<sup>′</sup> <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">11°01<sup>′</sup> <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">E</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">934</oasis:entry>
         <oasis:entry colname="col7">93</oasis:entry>
         <oasis:entry colname="col8">1</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <fig id="F1"><label>Figure 1</label><caption><p id="d2e1726">Radon measurements in Germany are conducted with the HRM at eight ICOS atmosphere stations. All stations except for SSL are tall towers operated by DWD (radon intake heights between 93–132 <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>). SSL has its air intake at 12 <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> and is operated by the German Environment Agency.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/6173/2025/essd-17-6173-2025-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Measurement principle and correction for aerosol loss in tubing</title>
      <p id="d2e1785">The HRM accumulates ambient <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> progenies on a static filter and measures their alpha decay in situ with a surface barrier detector. Half-hourly alpha spectra are integrated and evaluated to separate the <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> activity on the filter from other progeny counts, including those of the short-lived radon isotope radon-220.  The methodology and automated algorithm to evaluate the spectra are described in detail by <xref ref-type="bibr" rid="bib1.bibx40" id="text.18"/> and <xref ref-type="bibr" rid="bib1.bibx17" id="text.19"/>. The ambient <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> activity concentration is then determined from its activity on the filter by considering the filter-detector geometry, the filter efficiency, and the mass flow of air through the filter using the so-called Stockburger algorithm <xref ref-type="bibr" rid="bib1.bibx54 bib1.bibx55" id="paren.20"/>. The HRM detection limit of the current generation of  monitors is 0.07 <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx21" id="paren.21"/>, with the detection limit being defined as the ambient radon concentration resulting in a counting error of 30 <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>. Subsequently, a correction of progeny loss in the intake tubing (Decabon, 8 <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> inner diameter), which can be up to 158 <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> long (Table <xref ref-type="table" rid="T1"/>), is then applied following <xref ref-type="bibr" rid="bib1.bibx41" id="text.22"/>. The length-dependent loss of progeny is approximated by an exponential function,

                <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M109" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>R</mml:mi><mml:mo>(</mml:mo><mml:mi>L</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msup><mml:mi>exp⁡</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mfrac><mml:mi>L</mml:mi><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          with <inline-formula><mml:math id="M110" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula> being the length of the tubing and <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> a constant that was experimentally determined in the laboratory. For a given length of tubing, progeny loss was further observed to be dependent on ambient activity concentration. This could be approximated with a saturation curve as follows:

                <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M112" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mtext>measured</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mtext>ambient</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mi>R</mml:mi><mml:mo>(</mml:mo><mml:mi>L</mml:mi><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:mi>A</mml:mi><mml:mo>⋅</mml:mo><mml:msup><mml:mi>exp⁡</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mtext>measured</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where the experimentally determined empirical parameters <inline-formula><mml:math id="M113" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are constants, and <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>(</mml:mo><mml:mi>L</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is calculated from Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>) for line length <inline-formula><mml:math id="M116" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula>. The constants in Eqs. (<xref ref-type="disp-formula" rid="Ch1.E1"/>) and (<xref ref-type="disp-formula" rid="Ch1.E2"/>) have been reported by <xref ref-type="bibr" rid="bib1.bibx41" id="text.23"/> as <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">415</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mi>A</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.41</mml:mn></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.92</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The line loss correction was applied to all stations with air intake lines longer than 15 <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, which represents the shortest tested line length for aerosol loss <xref ref-type="bibr" rid="bib1.bibx41" id="paren.24"/>. No aerosol loss due to the tubing is assumed for lines shorter than 15 <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Calibration and <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> disequilibrium</title>
      <p id="d2e2160">In a theoretical evaluation, <xref ref-type="bibr" rid="bib1.bibx25" id="text.25"/> estimated the height dependence of the disequilibrium between <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula>. This disequilibrium depends on atmospheric stability and decreases with height, approaching equilibrium at levels of about 100 <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> In an international comparison experiment of the HRM measuring <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> with direct <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> measurement using an 1500L ANSTO monitor, <xref ref-type="bibr" rid="bib1.bibx53" id="text.26"/> showed that equilibrium between <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> measurements in ambient air is usually reached at intake heights exceeding 60 <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> However, they found a calibration difference between the two systems of about 10 <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>.  A similar result with a slightly smaller difference between monitors was obtained in a comparison campaign conducted in 2017 at the ICOS station Saclay, France, where parallel measurements at the 100 <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> intake height were conducted <xref ref-type="bibr" rid="bib1.bibx21" id="paren.27"/>. At the time of the comparison campaigns, there was no traceable method of calibrating the ANSTO monitor's absolute measurements, as is now the case since the 19ENV01 traceRadon project <xref ref-type="bibr" rid="bib1.bibx49" id="paren.28"/>, which could be accomplished with calibration transfer standard devices <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx50" id="paren.29"/>. The absence of this calibration could lead to the 4 <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>–8 <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> uncertainties in the absolute values <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx28" id="paren.30"/>. This may be a contributing factor to the discrepancies in the two measurement systems. However, the relative concentration changes measured with the 1500L ANSTO have been shown to be reliable <xref ref-type="bibr" rid="bib1.bibx3" id="paren.31"/>. For this reason, we did not apply any scaling factors to our HRM measurements, e.g., to adjust them to the ANSTO scale. Instead, we run each HRM in parallel to our routine monitor in Heidelberg for a few weeks and determine an internal calibration factor that is applied to have comparable measurements within the HRM network. We also did not correct for disequilibrium any of the HRM data from ICOS tower stations with intake heights <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>, assuming that the atmospheric <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> activity concentration is equal to that of the measured <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> activity concentration. For the Schauinsland data, we applied a factor of <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula> to the <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> measurements to estimate ambient <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> activity concentrations. This factor corresponds to that reported by <xref ref-type="bibr" rid="bib1.bibx53" id="text.32"><named-content content-type="post">Table 2</named-content></xref>.</p>
      <p id="d2e2430">For the Saclay 2017 comparison campaign, <xref ref-type="bibr" rid="bib1.bibx21" id="text.33"/> showed that the ratio of HRM-measured <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> measured with the ARMON monitor from Universitat Politècnica de Catalunya (UPC) decreased at relative humidity (RH) values close to 100 <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>. We have re-evaluated the data from this campaign, also correcting the <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> measurements from the ANSTO detector for standard temperature and pressure (STP, <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">293.15</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>), to make them comparable with the HRM measurements. These re-evaluated HRM and ANSTO data are displayed in Fig. <xref ref-type="fig" rid="F2"/>a together with the RH measured during that period. The relation between HRM <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> and ANSTO <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> data is displayed in panel (c). Here we selected the HRM data by distinguishing all hourly values by using co-measured RH data. The pink dots in panel (c) with  <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mtext>RH</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">98</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> clearly deviate from the regression line, with the values from the HRM being lower than the data from ANSTO. This would be consistent with the <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> aerosols being scavenged during the high-RH events. Panel (b) shows the Pearson correlation coefficient  between the two datasets dependent on the data selection by RH threshold. This means that data measured at a lower RH than the threshold are included in the fit calculation. We use the correlation coefficient as the relevant parameter to be investigated because, as discussed in the previous paragraph, there may be other reasons for discrepancies in absolute concentrations between the two measurement systems, such as uncertainties in calibration or instrumental issues that cause systematic biases. A correlation provides a useful tool for examining the relative differences between datasets. A small decrease in the correlation coefficient is observed from 90 <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> to 99 <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> RH, followed by a steep decrease towards 100 <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> RH. Therefore, for this comparison campaign, a relative humidity threshold of 98 <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> would be set to determine a potential “calibration factor” between the two instruments accounting for uncertainty of RH data and ensure the compatibility of the data. Excluding data measured at  <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:mtext>RH</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">98</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>,  we obtain  excellent agreement of almost <inline-formula><mml:math id="M163" 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> (<inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.97</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) with no significant offset  between the  HRM and the ANSTO measurements.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e2659">Activity concentration measured with the ANSTO monitor and with the HRM during the 2017 comparison campaign at the Saclay tower at the 100 <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> level. Panel <bold>(a)</bold> shows the original records together with relative humidity – the frequency distribution of RH is shown in <bold>(d)</bold>. Panel <bold>(c)</bold> displays the regression lines between the two datasets, with some data being excluded depending on the co-measured RH values. The data are obtained at RH less than or equal to 95 <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>, and the additions to this set with RH less than or equal to 98 <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> are highlighted in green. Data measured at  <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:mtext>RH</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">98</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> up to 100 <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> are marked in pink. The data with  <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:mtext>RH</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">98</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> (in pink) clearly fall off the regression line. Panel <bold>(b)</bold> shows the development of the Pearson correlation coefficient when successively more data measured at higher RH are included in the correlation calculation.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/6173/2025/essd-17-6173-2025-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Humidity threshold for the German <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> network</title>
      <p id="d2e2782">No direct <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> observations are available to determine a relative humidity threshold for the German stations with HRM progeny measurements, as was done for the Saclay 2017 campaign (Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/>). Therefore, we used a threshold based on the comparison with atmospheric transport model calculations of <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula>. We used the Stochastic Time-Inverted Lagrangian Transport model (STILT) <xref ref-type="bibr" rid="bib1.bibx44" id="paren.34"/> that was implemented at the ICOS Carbon Portal (<uri>https://www.icos-cp.eu/about-stilt</uri>, last access: 10 September 2025) to calculate footprints and atmospheric <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> activity concentrations for all ICOS stations. The radon flux estimates for Europe of <xref ref-type="bibr" rid="bib1.bibx26" id="text.35"/>, providing daily   mean <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> fluxes for the years 2017–2023, were used to calculate hourly <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> activity concentrations. We then calculated month-wise correlation coefficients between observed <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> and modeled <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> activity concentrations by successively adding data at increasing observed RH <xref ref-type="bibr" rid="bib1.bibx29 bib1.bibx31 bib1.bibx32 bib1.bibx33 bib1.bibx34 bib1.bibx35 bib1.bibx36 bib1.bibx37 bib1.bibx52 bib1.bibx57 bib1.bibx13" id="paren.36"/>, similar to the method used for the Saclay 2017 comparison campaign data (Fig. <xref ref-type="fig" rid="F2"/>b and d). For this, meteorological data were aggregated to half-hourly values if the measurement frequency was higher than that of <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> or interpolated from hourly values. Note that this comparison between measured <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> and simulated <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> activity concentrations was conducted only to diagnose thresholds for potential <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> loss at the individual stations. Quantitative evaluations, e.g., of the absolute agreement between model simulations and observations, were not the target of this comparison, as we are aware that the <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> flux map and transport in the STILT model have significant uncertainties. We also do not expect good correlations and curves as smooth as those obtained from the comparison of the two measured records at Saclay (Fig. <xref ref-type="fig" rid="F2"/>b). Nevertheless, we assume that a significant and abrupt decrease in the correlation coefficient at high RH should also become visible as a consequence of loss of <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula>. This could then be used to pinpoint a threshold of maximum RH at which the radioactive equilibrium of <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> and its progeny <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> is still valid.</p>
      <p id="d2e2986">Figure <xref ref-type="fig" rid="F3"/> shows typical examples of correlation coefficients between modeled <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> and measured <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> (panels a and e) together with RH distributions at three out of eight stations in the German ICOS network for those hourly situations where <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> measurements are available. Note that for the mountain stations Schauinsland (SSL, panels d and h), Torfhaus, and Hohenpeißenberg (TOH and HPB, Figs. <xref ref-type="fig" rid="FA1"/>–<xref ref-type="fig" rid="FA12"/> in the Appendix), we did not use STILT results for the actual tower heights (see Table <xref ref-type="table" rid="T1"/>) but for higher elevations of 300 <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (TOH, HPB) and 230 <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (SSL), as for these virtual heights model results show better agreement with the observations <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx46 bib1.bibx30" id="paren.37"/>. Figure <xref ref-type="fig" rid="F3"/>b–d show the data from April 2024, a month with a relatively high frequency of  <inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:mtext>RH</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">95</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> at the mountain station of SSL and very few RH values above 90 <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> at the tower stations in flat terrain. The majority of the RH measurements in this month are centered around 60 <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> RH or even lower. All stations show a correlation between measured and modeled data higher than 0.6 if enough data are provided. This could be explained by the fact that for the relatively dry conditions the <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> concentrations represent the <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> values quite well. But it can also be clearly seen that at SSL the correlation coefficient steeply decreases from about 0.65 to about 0.51 if values with  <inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:mtext>RH</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">98</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> are included in the calculation and if the number of these high-RH situations becomes significant. The KIT and LIN stations remain largely unchanged in this regard.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e3139">Panels <bold>(a)</bold> and <bold>(e)</bold> show the development of the correlation coefficient between <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> observations and simulated <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> data at three German ICOS stations (KIT, LIN, SSL) for April and for November 2022, respectively, if data with increasing RH are successively included in the calculation of the correlation. Panels <bold>(b–d)</bold> and <bold>(f–h)</bold> show the RH distributions for April and November, respectively, at these stations that were included in the calculations. The arrows with numbers indicate values that exceed the <inline-formula><mml:math id="M204" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axis range (usually for high RH). For each station the correlation coefficient was calculated only if the number of filtered data points was higher than 10 <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of all values for the given month to avoid the stochastic behavior of the curves in <bold>(a)</bold> and <bold>(e)</bold> associated with small datasets.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/6173/2025/essd-17-6173-2025-f03.png"/>

        </fig>

      <p id="d2e3207">In Fig. <xref ref-type="fig" rid="F3"/>f–h the corresponding data from November 2022 are shown. In this month RH close to saturation is observed at all stations. However, it is only at very high  <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mtext>RH</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">98</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> that the correlation coefficient also decreases at the tower stations in flat terrain. Overall, there is a tendency towards higher correlation coefficients between the model and observations at the stations located in flat terrain (GAT, STE, KIT, JUE, and LIN) compared to the mountain sites (TOH, SSL, HPB). This is because trace gas concentrations at mountain stations, due to their complex topography, are generally less well represented in the model than those in flat terrain. A similar behavior is observed for the other stations of the German ICOS network and other months of 2022,   where we have good overlap of measurements and STILT model results (Figs. <xref ref-type="fig" rid="FA1"/>–<xref ref-type="fig" rid="FA12"/> in the Appendix). In some rare cases, where most data were measured at  <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mtext>RH</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">98</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>, a sharp increase in correlation can be observed for high RH values for some stations (e.g., December 2022, Fig. <xref ref-type="fig" rid="FA12"/>). Based on these findings, we suggest  only using <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> data for the calculation of <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> activity concentrations measured at ambient  <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mtext>RH</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">98</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>.   Secular equilibrium between <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> can only be assumed for measurements made at RH lower than this threshold. It should be noted that the collection of data published together with this paper <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx6 bib1.bibx7 bib1.bibx8 bib1.bibx9 bib1.bibx10 bib1.bibx11 bib1.bibx12" id="paren.38"/> contains all valid <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> measurements, and we provide a value for <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> only for conditions where full equilibrium between <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M219" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> based on the measured RH can be assumed.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e3382">Panel <bold>(a)</bold> shows daily mean atmospheric <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> activity concentrations in <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at German ICOS stations. The daily values are plotted only if more than 70 <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of the hourly data were available. Panel <bold>(b)</bold> shows all valid data where measurements were conducted at RH below the respective thresholds and thus represent the best estimates of the RH-selected <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> data. The periods where less than 70 <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of the hourly data remained after flagging are shown in orange (with values of <inline-formula><mml:math id="M225" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1).</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/6173/2025/essd-17-6173-2025-f04.png"/>

        </fig>

      <fig id="F5"><label>Figure 5</label><caption><p id="d2e3464">Seasonal cycle of <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> monthly means at KIT, SSL, and LIN in the time period of 2020–2023. Note that monthly values are only shown if more than 70 <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of the daily mean values were available for the respective month.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/6173/2025/essd-17-6173-2025-f05.png"/>

        </fig>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e3495">Mean diurnal cycles of <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula>-based <inline-formula><mml:math id="M229" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> for all months in 2022 where data are available.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/6173/2025/essd-17-6173-2025-f06.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
      <p id="d2e3537">Daily mean <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> data from all stations are shown in the left panel of Fig. <xref ref-type="fig" rid="F4"/>, while the data remaining after relative humidity flagging (where available) according to the procedure described in Sect. <xref ref-type="sec" rid="Ch1.S2.SS4"/> are shown in the right panel of Fig. <xref ref-type="fig" rid="F4"/>. Only mean values for days where more than 70 <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of the hourly data are available or remained after flagging are displayed.  Where no RH data are available, the <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> data have been flagged. At some of the sites there are large gaps in the <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> data, which are due to initial handling and logistical problems or occasional HRM failures. After flagging, data gaps become more frequent, especially during winter at high RH and at mountain stations like SSL and TOH, where the high-RH events are more prevalent in general. On average, we observe the highest <inline-formula><mml:math id="M234" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> (and <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula>) activity concentrations at KIT located in the upper Rhine valley. Even the mountain stations SSL and HPB, which usually have longer air mass transport away from the <inline-formula><mml:math id="M236" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> source and hence lower concentrations, show elevated concentrations compared to the rest of the network, with both of them and KIT located in the south of Germany. The lowest activity concentrations are found at GAT, STE,  and TOH, with JUE showing slightly higher <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> activities. All these stations are situated in the northern half of Germany. This south–north gradient of the <inline-formula><mml:math id="M238" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> concentration is consistent with the radon flux estimates for Europe derived from uranium soil content, soil properties, and moisture content by <xref ref-type="bibr" rid="bib1.bibx26" id="text.39"/>. Another factor contributing to this gradient may be the increased influence of radon-depleted marine air masses on northern stations. These stations are situated closer to the basins of the North Sea and the Baltic Sea with negligible radon flux from the surface. On the other hand, air masses reaching the southern stations potentially have more time for radon emanating from the soil to mix into them, leading to higher observed concentrations. The only exception to this longitudinal scheme is the LIN station that, however, has a region of elevated radon soil emission values to the south of the station.</p>
      <p id="d2e3656">At all stations we find a clear seasonal cycle, with the highest values in summer and autumn and lowest activity concentrations in winter and spring (Fig. <xref ref-type="fig" rid="F5"/> shows KIT, SSL, and LIN; Fig. <xref ref-type="fig" rid="FA13"/> in the Appendix depicts all stations). This seasonality is mainly caused by the seasonality of the radon exhalation rate from soils, which, on the seasonal timescale, is mainly driven by soil moisture <xref ref-type="bibr" rid="bib1.bibx27" id="paren.40"/>. The high <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> values in summer and autumn are also due to stable atmospheric conditions in these seasons during nights (cf. Fig. <xref ref-type="fig" rid="F6"/>) as well as to more frequent high-pressure systems bringing continental air masses to Germany.</p>
      <p id="d2e3680">The mean diurnal cycles of <inline-formula><mml:math id="M240" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> from January to December 2022 are displayed in Fig. <xref ref-type="fig" rid="F6"/>. Only in summer and early autumn (i.e., from April to September) do we observe on average significant diurnal variations at the tower stations in flat terrain, with maximum values early in the morning after sunrise, i.e., shortly before the atmosphere becomes well-mixed and <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> that was accumulated close to the ground is mixed into higher levels of the troposphere. At HPB the morning maximum occurs with a delay of a few hours, as ground-level radon is transported not only through vertical convection but also by upslope winds from the surrounding valleys to the sampling site. A similar diurnal variation is observed at SSL in some of the summer and autumn months. This behavior of <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> was  observed earlier by <xref ref-type="bibr" rid="bib1.bibx38" id="text.41"/>. During late autumn, winter, and early spring, systematic diurnal variations are missing at all sites as the variations of the <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> activity concentration are much more dominated by synoptic variations. This could be explained by smaller differences in the daily and nightly mixing height distributions during late autumn and winter months <xref ref-type="bibr" rid="bib1.bibx15" id="paren.42"/>, which would greatly diminish the radon diurnal amplitude.</p>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Data availability</title>
      <p id="d2e3748">The <inline-formula><mml:math id="M244" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> observations are available at the ICOS Carbon Portal (<ext-link xlink:href="https://doi.org/10.18160/Q2M8-B1HJ" ext-link-type="DOI">10.18160/Q2M8-B1HJ</ext-link>, <xref ref-type="bibr" rid="bib1.bibx16" id="altparen.43"/>).</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Discussion and conclusions</title>
      <p id="d2e3778">Currently, there are eight ICOS stations within Germany measuring atmospheric <inline-formula><mml:math id="M245" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> activity concentrations; these are fairly even distributed over the country with five tall towers in flat terrain and three stations on mountaintops (two of which  sample air from more than 90 <inline-formula><mml:math id="M246" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>). Observations are conducted with the static filter Heidelberg Radon Monitor, measuring atmospheric <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> progeny. At all tower stations sampling air from intake heights more than 90 <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>, progeny can be assumed to be in equilibrium with atmospheric <inline-formula><mml:math id="M249" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula>. Only at very high relative humidity <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">98</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> is this not necessarily the case, which we were able to demonstrate by comparison with simulated <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> activity concentrations. We, therefore, recommend excluding the data measured with HRM during  RH conditions of 98 <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> and above at all sites in any applications where <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> values are of interest (and not of its progenies), for example as a tracer for boundary layer transport, e.g., for atmospheric transport model validation or for the application of the radon tracer method <xref ref-type="bibr" rid="bib1.bibx42" id="paren.44"><named-content content-type="pre">RTM</named-content></xref>. In this latter application, the missing data at high RH will probably not cause additional uncertainty in RTM-based flux estimates because these very humid atmospheric situations   with marine air reaching the stations normally show little correlation between greenhouse gas (GHG) concentrations and <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula>, and such situations would have been discarded. In the case of atmospheric transport model validation, however, it is essential to use appropriately flagged radon data, where the equilibrium between radon and its progenies can be ensured, even if this results in data gaps. The scavenging of aerosols in small droplets, followed by wet deposition and rain-out, can cause a significant reduction in radon progenies, which leads to discrepancies with the radon signal. These findings further highlight the limitations of the HRM and the need for direct <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> measurements at high-altitude sites where clouds frequently coincide with the intake heights. The quantity of flagged data ranges from 3 <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> to 55 <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> in the wetter winter months (December–February, average 24 <inline-formula><mml:math id="M259" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>), with the highest flagged percentage in TOH (51 <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>) and SSL (55 <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>) and the lowest in KIT (9 <inline-formula><mml:math id="M262" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>) and JUE (3 <inline-formula><mml:math id="M263" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>). During the drier summer months (June–August), the percentage of flagged observations is significantly lower (average 7 <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>), with the same stations for the highest and lowest quantities (high: TOH – 13 <inline-formula><mml:math id="M265" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>, SSL – 16 <inline-formula><mml:math id="M266" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>, low: KIT – 1 <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>, JUE – 1 <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d2e4045">In view of the rather small percentage of the data where the <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> data measured with the HRM were most probably not in secular equilibrium with <inline-formula><mml:math id="M270" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> (with the exception of SSL and TOH stations during winter months), and since the absolute agreement between the HRM and other instruments measuring <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> directly was of the order of <inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> during intercomparison campaigns, we conclude that our method is suitable for sampling heights above 80–90 <inline-formula><mml:math id="M274" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> for the stations in flat terrain. The situation may be different for lower intake heights, where we cannot generally assume radioactive equilibrium between <inline-formula><mml:math id="M275" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> and its progenies. For example, in the case of our station in Heidelberg, where air is collected from the roof of the building at 30 <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>, we have to apply a mean correction for disequilibrium, multiplying the <inline-formula><mml:math id="M277" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> activity concentration with a corresponding factor that was based on comparison measurements with an ANSTO detector <xref ref-type="bibr" rid="bib1.bibx53 bib1.bibx42" id="paren.45"><named-content content-type="pre">i.e., 1.11</named-content></xref>. A correction for disequilibrium must also be applied to the Schauinsland <inline-formula><mml:math id="M278" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> data based on comparison with direct <inline-formula><mml:math id="M279" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> measurements <xref ref-type="bibr" rid="bib1.bibx61" id="paren.46"/>. As the disequilibrium between <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> depends on atmospheric stability <xref ref-type="bibr" rid="bib1.bibx25 bib1.bibx4" id="paren.47"/>, applying just one mean factor adds uncertainty to the <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> data. Measuring <inline-formula><mml:math id="M283" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> gradients below 80–90 <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> is, therefore, not recommended with the HRM, unless a careful comparison with an instrument measuring <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> directly has been conducted for each height level in order to apply a disequilibrium correction based on direct observations. Furthermore, for high-altitude stations (e.g., TOH or SSL) with a high prevalence of RH values greater than 98 <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>, it is essential to closely examine the typical meteorological conditions prior to HRM deployment or to consider the utilization of other radon instruments that are not prone to aerosol scavenging effects.</p>
</sec>

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

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

      <fig id="FA1"><label>Figure A1</label><caption><p id="d2e4308">Panel <bold>(a)</bold> shows the development of the correlation coefficient between <inline-formula><mml:math id="M287" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> observations and simulated <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> data at all German ICOS stations if data with increasing RH are successively included in the calculation of the correlation. Panels <bold>(b)</bold>–<bold>(i)</bold> show the distributions of hourly RH values at the stations of the network. The arrows with numbers indicate values that exceed the <inline-formula><mml:math id="M289" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axis range (usually for high RH). For each station the correlation coefficient was calculated only if the number of filtered data points was higher than 10 <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of all values for the given month to avoid the stochastic behavior of the curves in the first subplot associated with small datasets. January 2022.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/17/6173/2025/essd-17-6173-2025-f07.png"/>
        

      </fig>

<fig id="FA2"><label>Figure A2</label><caption><p id="d2e4371">Panel <bold>(a)</bold> shows the development of the correlation coefficient between <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> observations and simulated <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> data at all German ICOS stations if data with increasing RH are successively included in the calculation of the correlation. Panels <bold>(b)</bold>–<bold>(i)</bold> show the distributions of hourly RH values at the stations of the network. The arrows with numbers indicate values that exceed the <inline-formula><mml:math id="M293" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axis range (usually for high RH). For each station the correlation coefficient was calculated only if the number of filtered data points was higher than 10 <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of all values for the given month to avoid the stochastic behavior of the curves in the first subplot associated with small datasets. February 2022.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/17/6173/2025/essd-17-6173-2025-f08.png"/>
        

      </fig>

<fig id="FA3"><label>Figure A3</label><caption><p id="d2e4435">Panel <bold>(a)</bold> shows the development of the correlation coefficient between <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> observations and simulated <inline-formula><mml:math id="M296" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> data at all German ICOS stations if data with increasing RH are successively included in the calculation of the correlation. Panels <bold>(b)</bold>–<bold>(i)</bold> show the distributions of hourly RH values at the stations of the network. The arrows with numbers indicate values that exceed the <inline-formula><mml:math id="M297" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axis range (usually for high RH). For each station the correlation coefficient was calculated only if the number of filtered data points was higher than 10 <inline-formula><mml:math id="M298" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of all values for the given month to avoid the stochastic behavior of the curves in the first subplot associated with small datasets. March 2022.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/17/6173/2025/essd-17-6173-2025-f09.png"/>
        

      </fig>

<fig id="FA4"><label>Figure A4</label><caption><p id="d2e4498">Panel <bold>(a)</bold> shows the development of the correlation coefficient between <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> observations and simulated <inline-formula><mml:math id="M300" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> data at all German ICOS stations if data with increasing RH are successively included in the calculation of the correlation. Panels <bold>(b)</bold>–<bold>(i)</bold> show the distributions of hourly RH values at the stations of the network. The arrows with numbers indicate values that exceed the <inline-formula><mml:math id="M301" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axis range (usually for high RH). For each station the correlation coefficient was calculated only if the number of filtered data points was higher than 10 <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of all values for the given month to avoid the stochastic behavior of the curves in the first subplot associated with small datasets. April 2022.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/17/6173/2025/essd-17-6173-2025-f10.png"/>
        

      </fig>

<fig id="FA5"><label>Figure A5</label><caption><p id="d2e4561">Panel <bold>(a)</bold> shows the development of the correlation coefficient between <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> observations and simulated <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> data at all German ICOS stations if data with increasing RH are successively included in the calculation of the correlation. Panels <bold>(b)</bold>–<bold>(i)</bold> show the distributions of hourly RH values at the stations of the network. The arrows with numbers indicate values that exceed the <inline-formula><mml:math id="M305" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axis range (usually for high RH). For each station the correlation coefficient was calculated only if the number of filtered data points was higher than 10 <inline-formula><mml:math id="M306" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of all values for the given month to avoid the stochastic behavior of the curves in the first subplot associated with small datasets. May 2022.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/17/6173/2025/essd-17-6173-2025-f11.png"/>
        

      </fig>

<fig id="FA6"><label>Figure A6</label><caption><p id="d2e4625">Panel <bold>(a)</bold> shows the development of the correlation coefficient between <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> observations and simulated <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> data at all German ICOS stations if data with increasing RH are successively included in the calculation of the correlation. Panels <bold>(b)</bold>–<bold>(i)</bold> show the distributions of hourly RH values at the stations of the network. The arrows with numbers indicate values that exceed the <inline-formula><mml:math id="M309" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axis range (usually for high RH). For each station the correlation coefficient was calculated only if the number of filtered data points was higher than 10 <inline-formula><mml:math id="M310" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of all values for the given month to avoid the stochastic behavior of the curves in the first subplot associated with small datasets. June 2022.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/17/6173/2025/essd-17-6173-2025-f12.png"/>
        

      </fig>

<fig id="FA7"><label>Figure A7</label><caption><p id="d2e4688">Panel <bold>(a)</bold> shows the development of the correlation coefficient between <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> observations and simulated <inline-formula><mml:math id="M312" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> data at all German ICOS stations if data with increasing RH are successively included in the calculation of the correlation. Panels <bold>(b)</bold>–<bold>(i)</bold> show the distributions of hourly RH values at the stations of the network. The arrows with numbers indicate values that exceed the <inline-formula><mml:math id="M313" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axis range (usually for high RH). For each station the correlation coefficient was calculated only if the number of filtered data points was higher than 10 <inline-formula><mml:math id="M314" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of all values for the given month to avoid the stochastic behavior of the curves in the first subplot associated with small datasets. July 2022.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/17/6173/2025/essd-17-6173-2025-f13.png"/>
        

      </fig>

<fig id="FA8"><label>Figure A8</label><caption><p id="d2e4751">Panel <bold>(a)</bold> shows the development of the correlation coefficient between <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> observations and simulated <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> data at all German ICOS stations if data with increasing RH are successively included in the calculation of the correlation. Panels <bold>(b)</bold>–<bold>(i)</bold> show the distributions of hourly RH values at the stations of the network. The arrows with numbers indicate values that exceed the <inline-formula><mml:math id="M317" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axis range (usually for high RH). For each station the correlation coefficient was calculated only if the number of filtered data points was higher than 10 <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of all values for the given month to avoid the stochastic behavior of the curves in the first subplot associated with small datasets. August 2022.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/17/6173/2025/essd-17-6173-2025-f14.png"/>
        

      </fig>

<fig id="FA9"><label>Figure A9</label><caption><p id="d2e4815">Panel <bold>(a)</bold> shows the development of the correlation coefficient between <inline-formula><mml:math id="M319" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> observations and simulated <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> data at all German ICOS stations if data with increasing RH are successively included in the calculation of the correlation. Panels <bold>(b)</bold>–<bold>(i)</bold> show the distributions of hourly RH values at the stations of the network. The arrows with numbers indicate values that exceed the <inline-formula><mml:math id="M321" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axis range (usually for high RH). For each station the correlation coefficient was calculated only if the number of filtered data points was higher than 10 <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of all values for the given month to avoid the stochastic behavior of the curves in the first subplot associated with small datasets. September 2022.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/17/6173/2025/essd-17-6173-2025-f15.png"/>
        

      </fig>

<fig id="FA10"><label>Figure A10</label><caption><p id="d2e4878">Panel <bold>(a)</bold> shows the development of the correlation coefficient between <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> observations and simulated <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> data at all German ICOS stations if data with increasing RH are successively included in the calculation of the correlation. Panels <bold>(b)</bold>–<bold>(i)</bold> show the distributions of hourly RH values at the stations of the network. The arrows with numbers indicate values that exceed the <inline-formula><mml:math id="M325" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axis range (usually for high RH). For each station the correlation coefficient was calculated only if the number of filtered data points was higher than 10 <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of all values for the given month to avoid the stochastic behavior of the curves in the first subplot associated with small datasets. October 2022.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/17/6173/2025/essd-17-6173-2025-f16.png"/>
        

      </fig>

<fig id="FA11"><label>Figure A11</label><caption><p id="d2e4941">Panel <bold>(a)</bold> shows the development of the correlation coefficient between <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> observations and simulated <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> data at all German ICOS stations if data with increasing RH are successively included in the calculation of the correlation. Panels <bold>(b)</bold>–<bold>(i)</bold> show the distributions of hourly RH values at the stations of the network. The arrows with numbers indicate values that exceed the <inline-formula><mml:math id="M329" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axis range (usually for high RH). For each station the correlation coefficient was calculated only if the number of filtered data points was higher than 10 <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of all values for the given month to avoid the stochastic behavior of the curves in the first subplot associated with small datasets. November 2022.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/17/6173/2025/essd-17-6173-2025-f17.png"/>
        

      </fig>

<fig id="FA12"><label>Figure A12</label><caption><p id="d2e5005">Panel <bold>(a)</bold> shows the development of the correlation coefficient between <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">214</mml:mn></mml:msup><mml:mi mathvariant="normal">Po</mml:mi></mml:mrow></mml:math></inline-formula> observations and simulated <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> data at all German ICOS stations if data with increasing RH are successively included in the calculation of the correlation. Panels <bold>(b)</bold>–<bold>(i)</bold> show the distributions of hourly RH values at the stations of the network. The arrows with numbers indicate values that exceed the <inline-formula><mml:math id="M333" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axis range (usually for high RH). For each station the correlation coefficient was calculated only if the number of filtered data points was higher than 10 <inline-formula><mml:math id="M334" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of all values for the given month to avoid the stochastic behavior of the curves in the first subplot associated with small datasets. December 2022.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/17/6173/2025/essd-17-6173-2025-f18.png"/>
        

      </fig>

<fig id="FA13"><label>Figure A13</label><caption><p id="d2e5068">Seasonal cycle of <inline-formula><mml:math id="M335" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup><mml:mi mathvariant="normal">Rn</mml:mi></mml:mrow></mml:math></inline-formula> monthly means at all German stations in the time period of 2020–2023. Note that monthly values are only shown if more than 70 <inline-formula><mml:math id="M336" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of the daily mean values were available for the respective month.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/17/6173/2025/essd-17-6173-2025-f19.png"/>

      </fig>

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

      <p id="d2e5101">MG evaluated all raw data, conducted the relative humidity selection, and prepared the figures. UK made the STILT model runs. BF, ML, DK, and JMW provided the observational data. IL, together with UK and MG, designed the study and prepared the paper. All authors discussed and reviewed the paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e5107">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="d2e5113">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. While Copernicus Publications makes every effort to include appropriate place names, the final responsibility lies with the authors.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e5119">We wish to thank the German Meteorological Service station technicians for their support in radon measurement and maintenance. The HRM instrumentation was partly funded by the Federal Ministry of Education and Research and the Federal Ministry for Digital and Transport. This study was supported by the ICOS Central Radiocarbon Laboratory, which is funded by the German Federal Ministry for Digital and Transport. Ute Karstens received funding from the project 19ENV01 traceRadon, part of  EMPIR that is co-financed by the participating states and  the European Union's Horizon 2020 research and innovation program. We would like to express our sincere gratitude to Samuel Hammer for his valuable time and insightful comments on this paper.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e5124">This research has been supported by the European Metrology Programme for Innovation and Research (traceRadon (grant no. 19ENV01)).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e5131">This paper was edited by Giulio G. R. Iovine and reviewed by Alan Griffiths, Scott Chambers, and Marina Muto.</p>
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