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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">BG</journal-id><journal-title-group>
    <journal-title>Biogeosciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">BG</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Biogeosciences</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1726-4189</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/bg-22-5741-2025</article-id><title-group><article-title>Using GNSS-based vegetation optical depth, tree sway motion, and eddy covariance to examine evaporation of canopy-intercepted rainfall in a subalpine forest</article-title><alt-title>Canopy evaporation in a subalpine forest</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Burns</surname><given-names>Sean P.</given-names></name>
          <email>sean@ucar.edu</email>
        <ext-link>https://orcid.org/0000-0002-6258-1838</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4">
          <name><surname>Humphrey</surname><given-names>Vincent</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2541-6382</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Gutmann</surname><given-names>Ethan D.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4077-3430</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Raleigh</surname><given-names>Mark S.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1303-3472</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Bowling</surname><given-names>David R.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-3864-4042</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Blanken</surname><given-names>Peter D.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7405-2220</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Geography, University of Colorado, Boulder, CO, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>NSF National Center for Atmospheric Research, Boulder, CO, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Federal Office of Meteorology and Climatology MeteoSwiss, Zurich Airport, Switzerland</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Geography, University of Zürich, Zurich, Switzerland</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>College of Earth, Ocean, and Atmospheric Sciences, Oregon State University, Corvallis, OR, USA</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>School of Biological Sciences, University of Utah, UT, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Sean P. Burns (sean@ucar.edu)</corresp></author-notes><pub-date><day>21</day><month>October</month><year>2025</year></pub-date>
      
      <volume>22</volume>
      <issue>20</issue>
      <fpage>5741</fpage><lpage>5769</lpage>
      <history>
        <date date-type="received"><day>15</day><month>April</month><year>2025</year></date>
           <date date-type="rev-request"><day>20</day><month>May</month><year>2025</year></date>
           <date date-type="rev-recd"><day>14</day><month>August</month><year>2025</year></date>
           <date date-type="accepted"><day>29</day><month>August</month><year>2025</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2025 Sean P. Burns 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://bg.copernicus.org/articles/22/5741/2025/bg-22-5741-2025.html">This article is available from https://bg.copernicus.org/articles/22/5741/2025/bg-22-5741-2025.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/22/5741/2025/bg-22-5741-2025.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/22/5741/2025/bg-22-5741-2025.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e165">Recent advances in the measurement of water content within a forest have led to new possibilities to study canopy evaporation.  We used a pair of Global Navigation Satellite System (GNSS) receivers (one above the canopy and one near the forest floor) to calculate the vegetation optical depth (VOD) during the warm season in a Colorado subalpine forest. One goal in our study was to compare VOD to the concurrent tree sway motion and subcanopy/above-canopy eddy covariance evapotranspiration (ET) measurements. We found that VOD increased and tree sway frequency decreased during wet periods; furthermore, both measurements exhibited a linear relationship with each other and suggested that it took around 14 h after rainfall ceased for the intercepted rainwater to fully evaporate from the canopy. On dry days, we found that tree sway was more sensitive to diel changes in internal tree water content than VOD. The ET measurements provided quantitative estimates of canopy evaporation (0.02 mm h<sup>−1</sup> at night to 0.08 mm h<sup>−1</sup> during midday). Following rainfall, nighttime VOD, tree sway, and ET all showed a steady (nearly constant) drying of the canopy.  Variability in the VOD and tree sway measurements, comparisons with water content from the CLM4.5 land surface model, and challenges with ET measurements are also discussed.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      
<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e203">As warm-season precipitation falls into a forest, it first alights upon the leaves/needles and branches of the canopy, a process called interception.  Depending on the forest type, tree structure, rainfall intensity, and wind gustiness, interception can primarily occur in the upper or lower canopy.  As rain continues to fall, a thin film of water covers the leaves/needles until they reach a saturation point and begin to drip (or gusts of wind can shake the rainwater off the needles). From there, the intercepted rainwater can drip onto lower branches (eventually reaching the ground, i.e., throughfall), travel down the trunk or stem (stemflow), or be evaporated (canopy evaporation).  For a detailed description of canopy interception and related processes see <xref ref-type="bibr" rid="bib1.bibx54" id="text.1"/>, <xref ref-type="bibr" rid="bib1.bibx79" id="text.2"/>, <xref ref-type="bibr" rid="bib1.bibx23" id="text.3"/>, <xref ref-type="bibr" rid="bib1.bibx64" id="text.4"/>, <xref ref-type="bibr" rid="bib1.bibx32" id="text.5"/>, <xref ref-type="bibr" rid="bib1.bibx120" id="text.6"/>, <xref ref-type="bibr" rid="bib1.bibx111" id="text.7"/>, and <xref ref-type="bibr" rid="bib1.bibx124" id="text.8"/>, as well as references therein. Within this paper we use the term <italic>canopy evaporation</italic> to refer to the evaporation of canopy-intercepted precipitation back to the atmosphere.  The throughfall that reaches the ground can also evaporate back to the atmosphere (soil evaporation) or infiltrate deeper into the soil where it becomes part of the subsurface groundwater.  Once in the soil, the water can be absorbed by tree roots and eventually transpired back to the atmosphere via leaf stomata (transpiration).  Evapotranspiration (ET) is the sum of transpiration, net soil evaporation/condensation, and net canopy evaporation/condensation (e.g., <xref ref-type="bibr" rid="bib1.bibx113 bib1.bibx31 bib1.bibx81" id="altparen.9"/>). For our purposes, we neglect condensation and assume that net evaporation is dominated by evaporation (i.e., the transport of water vapor from the soil/canopy surfaces to the atmosphere). Discussion about condensation (i.e., negative ET) over land surfaces can be found elsewhere (e.g., <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx1 bib1.bibx96" id="altparen.10"/>).</p>
      <p id="d2e240">Of the abovementioned processes, canopy evaporation is difficult to measure and poorly understood.  In general, anywhere from 10 %–50 % of intercepted rainwater can be evaporated back to the atmosphere (e.g., <xref ref-type="bibr" rid="bib1.bibx64" id="altparen.11"/>). However, for light rainfall over a dense forest, nearly 100 % of the intercepted rainfall will evaporate. And it has been suggested that canopy evaporation rates can be as high as 39.4 mm d<sup>−1</sup> (an average of 1.64 mm h<sup>−1</sup>) during extreme rain events <xref ref-type="bibr" rid="bib1.bibx94" id="paren.12"/>. Vertical and horizontal differences in the spatial structure of a forest as well as variations in rainfall intensity, subcanopy turbulence, and humidity are part of the challenges of measuring canopy evaporation. Our study combines several disparate measurement techniques (vegetation optical depth, tree sway motion, and eddy covariance) to try and improve our understanding of canopy evaporation in a high-elevation subalpine forest.</p>
      <p id="d2e273">Forest ET can be considered from three different perspectives: (i) at the leaf-level scale, which considers transport of water vapor through the leaf boundary layer (e.g., <xref ref-type="bibr" rid="bib1.bibx60" id="altparen.13"/>), (ii) from energy balance considerations (e.g., <xref ref-type="bibr" rid="bib1.bibx78" id="altparen.14"/>), or (iii) by a water balance approach (e.g., <xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx14" id="altparen.15"/>). For (ii), models of canopy ET typically use the surface energy budget to derive the Penman–Monteith equation, which requires determining the aerodynamic and canopy (controlled by plant stomata) resistances (e.g., <xref ref-type="bibr" rid="bib1.bibx87 bib1.bibx106 bib1.bibx112 bib1.bibx76 bib1.bibx41 bib1.bibx89 bib1.bibx82" id="altparen.16"/>). When the canopy is completely wet, transpiration becomes small and ET is dominated by evaporation of canopy-intercepted water. In this situation, the canopy resistance (closed stomata) in the Penman–Monteith equation can be set to zero <xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx63 bib1.bibx8" id="paren.17"/> and canopy evaporation <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:msub><mml:mi>E</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with units of W m<sup>−2</sup> becomes

          <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M7" display="block"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:msub><mml:mi>E</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>s</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">net</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi>G</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="italic">ρ</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="normal">sat</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mi mathvariant="italic">λ</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

        where <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">net</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is net radiation [W m<sup>−2</sup>], <inline-formula><mml:math id="M10" display="inline"><mml:mi>G</mml:mi></mml:math></inline-formula> is soil heat heat flux [W m<sup>−2</sup>], <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the heat and water storage terms in the biomass and airspace between the ground and flux measurement height as well as the energy consumed by photosynthesis [W m<sup>−2</sup>], <inline-formula><mml:math id="M14" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula> is air density [kg m<sup>−3</sup>], <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the specific heat of moist air at constant pressure [J kg<sup>−1</sup> K<sup>−1</sup>], <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the aerodynamic resistance to scalar transport [s m<sup>−1</sup>], <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is specific humidity [kg kg<sup>−1</sup>], <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="normal">sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the saturated specific humidity at air temperature <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> [K], <inline-formula><mml:math id="M25" display="inline"><mml:mi>s</mml:mi></mml:math></inline-formula> is the slope of the saturated specific humidity versus temperature curve [K<sup>−1</sup>] evaluated at <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M28" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> is the latent heat of vaporization of water [J kg<sup>−1</sup>].  In Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>), vapor pressure <inline-formula><mml:math id="M30" display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula> is often used rather than <inline-formula><mml:math id="M31" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula>, and aerodynamic conductance <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is often used instead of <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the reciprocal of the aerodynamic resistance, <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M36" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msubsup><mml:mi>r</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>).  Equation (<xref ref-type="disp-formula" rid="Ch1.E1"/>) was originally formulated by <xref ref-type="bibr" rid="bib1.bibx98" id="text.18"/> to estimate evaporation from an open water surface. When vegetation is partially wet, the wet and dry canopy regions can be considered independently of each other (e.g., <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx8" id="altparen.19"/>).</p>
      <p id="d2e745">The atmospheric variables that drive canopy evaporation are thought to be some combination of available energy (i.e., <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">net</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi>G</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in Eq. <xref ref-type="disp-formula" rid="Ch1.E1"/>), the dryness of the atmosphere (i.e., vapor pressure deficit or the (<inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="normal">sat</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) term in Eq. <xref ref-type="disp-formula" rid="Ch1.E1"/>), advection of warmer/drier air that provides sensible heat (e.g., <xref ref-type="bibr" rid="bib1.bibx79 bib1.bibx24 bib1.bibx107 bib1.bibx120" id="altparen.20"/>), and the turbulent mixing of drier air into the canopy airspace (e.g., <xref ref-type="bibr" rid="bib1.bibx97 bib1.bibx77" id="altparen.21"/>).  The amount of turbulent mixing is determined by <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and depends on the interaction between the wind profile and surface roughness (which depends on canopy structure).  In general, it has been found that canopy evaporation models underpredict the measured canopy evaporation rates (e.g., <xref ref-type="bibr" rid="bib1.bibx64 bib1.bibx120 bib1.bibx123 bib1.bibx58" id="altparen.22"/>).</p>
      <p id="d2e814">Vegetation optical depth (VOD) is a direct measure of the opacity of the vegetation to microwave radiation, with higher VOD values indicating denser and water-rich canopies <xref ref-type="bibr" rid="bib1.bibx39 bib1.bibx66" id="paren.23"/>.  It has been measured over large spatial regions (order of 150 km<sup>2</sup>) by satellites for decades (e.g., <xref ref-type="bibr" rid="bib1.bibx93 bib1.bibx73" id="altparen.24"/>).  Initial work attributed changes in VOD to changes in internal tree water content and aboveground biomass (e.g., <xref ref-type="bibr" rid="bib1.bibx105 bib1.bibx84 bib1.bibx39" id="altparen.25"/>).  However, more recent studies have avoided using VOD during or just following rainfall (e.g., <xref ref-type="bibr" rid="bib1.bibx53 bib1.bibx130" id="altparen.26"/>). This is because intercepted water forms a water layer which attenuates and reflects microwave signals more than internal water found within the xylem tubular structures; for conifers, tree water is primarily found within xylem tracheids that are on the order of 5 to 80 <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> in diameter and less than 5 mm long (e.g., <xref ref-type="bibr" rid="bib1.bibx118 bib1.bibx49" id="altparen.27"/>). It has also been shown that VOD is sensitive to dew and fog-related deposits of water on vegetation surfaces (e.g., <xref ref-type="bibr" rid="bib1.bibx43" id="altparen.28"/>). Our subalpine forest site is relatively dry, and dew formation is infrequent, though dew formation is highly variable and depends upon specific microclimates and location <xref ref-type="bibr" rid="bib1.bibx12" id="paren.29"/>.</p>
      <p id="d2e858">While attributing changes in VOD to changes in biomass versus vegetation water content remains challenging, owing to a lack of consensus on retrieval algorithms and possible GNSS depolarization effects due to the canopy and topography (e.g., <xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx34" id="altparen.30"/>), there has been growing interest in using these globally available observations to monitor aboveground biomass and vegetation response to drought <xref ref-type="bibr" rid="bib1.bibx39" id="paren.31"/>. The extent to which these satellite observations are sensitive to canopy interception remains largely unknown. Such knowledge would have important implications for the interpretation of diurnal signals in satellite-based VOD <xref ref-type="bibr" rid="bib1.bibx129" id="paren.32"/>. Recently, Global Navigation Satellite System (GNSS) receivers have been used to measure VOD at the tree- or forest-level scale (i.e., 10–100 m<sup>2</sup>) over time periods of an hour or less; with such fine-scale spatial and temporal measurements, it has been suggested that VOD can provide an estimate of precipitation intercepted by a forest canopy (e.g., <xref ref-type="bibr" rid="bib1.bibx57" id="altparen.33"/>).</p>
      <p id="d2e882">Independently, tree sway frequency changes have also been shown to be related to canopy interception and evaporation of rain <xref ref-type="bibr" rid="bib1.bibx122 bib1.bibx30" id="paren.34"/>, as well as interception of snow <xref ref-type="bibr" rid="bib1.bibx101" id="paren.35"/>. As precipitation accumulates on the vegetation, the increased weight of the water on the branches and leaves/needles leads to a decrease in the overall tree sway frequency because the tree's intrinsic frequency mode changes with the altered mass distribution (e.g., <xref ref-type="bibr" rid="bib1.bibx109 bib1.bibx59 bib1.bibx30 bib1.bibx101" id="altparen.36"/>).</p>
      <p id="d2e894">One goal of our study is to evaluate how well VOD and tree sway frequency estimate the amount of liquid precipitation that is retained by the subalpine canopy during and after rainfall at the Niwot Ridge Forest US-NR1 AmeriFlux site.  We take this analysis a step further by relating these measurements to two levels of eddy covariance ET, which provides a quantitative measure of canopy evaporation.  Our novel analysis of the diel cycle provides additional insight into the canopy evaporation dynamics at our US-NR1 forest site.  To help evaluate the VOD, tree sway frequency, and ET measurements, we supplement our analysis with other US-NR1 measurements (surface wetness and bole water content).</p>
      <p id="d2e897">Though the focus of our study is on observations, we also want to compare the VOD and tree sway observations with land surface model results.  In <xref ref-type="bibr" rid="bib1.bibx20" id="text.37"/> the Community Land Model (CLM4.5) <xref ref-type="bibr" rid="bib1.bibx92" id="paren.38"/> components of the latent heat flux (transpiration, canopy evaporation, and soil evaporation) were compared with the measured ecosystem-scale latent heat flux at the US-NR1 site.  Since the VOD and tree sway frequency measurements are related to canopy water content (and thus canopy evaporation), these observations are compared with CLM4.5-modeled canopy surface water content.</p>
      <p id="d2e906">The paper is organized as follows. Section 2 has the site description (Sect. <xref ref-type="sec" rid="Ch1.S2.SS1"/>), the measurements of VOD (Sect. <xref ref-type="sec" rid="Ch1.S2.SS2.SSS1"/>), tree sway (Sect. <xref ref-type="sec" rid="Ch1.S2.SS2.SSS2"/>), and ET (Sect. <xref ref-type="sec" rid="Ch1.S2.SS2.SSS3"/>), a description of CLM4.5  (Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/>), and our data analysis techniques (Sect. <xref ref-type="sec" rid="Ch1.S2.SS4"/>).  Section 3 has the results and discussion showing time series (Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>), diel cycle composites (Sect. <xref ref-type="sec" rid="Ch1.S3.SS2"/> and <xref ref-type="sec" rid="Ch1.S3.SS3"/>), comparisons with CLM4.5 (Sect. <xref ref-type="sec" rid="Ch1.S3.SS4"/>), variations in the VOD and tree sway time series (Sect. <xref ref-type="sec" rid="Ch1.S3.SS5"/>), and a few thoughts about limitations and possible improvements to our study (Sect. <xref ref-type="sec" rid="Ch1.S3.SS6"/>). Section 4 has our final conclusions.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Site description</title>
      <p id="d2e950">The Niwot Ridge Subalpine Forest AmeriFlux site (US-NR1; <xref ref-type="bibr" rid="bib1.bibx7" id="altparen.39"/>) is located on a remnant glacial moraine in the Colorado Rocky Mountains about 8 km east of the Continental Divide. The forest near the 26 m US-NR1 main tower is primarily composed of subalpine fir (<italic>Abies lasiocarpa</italic> var. <italic>bifolia</italic>), lodgepole pine (<italic>Pinus contorta</italic>), and Englemann spruce (<italic>Picea engelmannii</italic>) with a tree density of around 4000 trees ha<sup>−1</sup> (0.4 trees m<sup>−2</sup>), a leaf area index (LAI) of 3.8–4.2 m<sup>2</sup> m<sup>−2</sup>, and tree heights of 13–15 m <xref ref-type="bibr" rid="bib1.bibx86 bib1.bibx16" id="paren.40"/>.  The trees near the tower (as identified by lidar) are shown in Fig. <xref ref-type="fig" rid="F1"/>.  The mean annual temperature at US-NR1 is around 2 °C.  According to the Köppen–Geiger climate classification system <xref ref-type="bibr" rid="bib1.bibx67" id="paren.41"/> the site is type Dfc, which corresponds to a cold, snowy/moist continental climate with precipitation spread fairly evenly throughout the year; the long-term mean annual precipitation at the site is around 800 mm and snow typically covers the ground from mid-November until late May <xref ref-type="bibr" rid="bib1.bibx19" id="paren.42"/>.  During the warm season, precipitation primarily occurs during afternoon convective storms generated by upslope mountain plain wind patterns (e.g., <xref ref-type="bibr" rid="bib1.bibx117 bib1.bibx131" id="altparen.43"/>). More information about the US-NR1 site can be found in <xref ref-type="bibr" rid="bib1.bibx19" id="text.44"/> and references therein or online at <uri>http://ameriflux.lbl.gov</uri> (last access: 10 October 2025).</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e1037">The locations of the two GNSS antennas (gnssA and gnssB) are shown as stars on a 90 m <inline-formula><mml:math id="M48" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 90 m map relative to the location of the US-NR1 26 m tower.  The gnssA antenna is at the top of the US-NR1 tower and gnssB is located in the forest 1.27 m above the ground on a tripod.  The background colors show vegetation heights calculated from airborne lidar data within 0.5 m <inline-formula><mml:math id="M49" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.5 m regions. The filled circles indicate tree locations that are shorter than 12 m, and open circles indicate trees taller than 12 m.  The outer black circle around gnssB shows the VOD footprint area with a radius of <inline-formula><mml:math id="M50" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 30 m, while the inner black circle shows an alternate VOD footprint based on examination of the sky plot shown in Fig. S3. The VOD footprint is further discussed in Appendix <xref ref-type="sec" rid="App1.Ch1.S2"/>.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/22/5741/2025/bg-22-5741-2025-f01.png"/>

        </fig>

      <p id="d2e1069">Frozen tree boles have been shown to limit sap flow within the US-NR1 trees and control seasonal transpiration onset and dormancy <xref ref-type="bibr" rid="bib1.bibx11" id="paren.45"/> as well as changing the bole flexural properties, which modifies the tree sway frequency (e.g., <xref ref-type="bibr" rid="bib1.bibx45 bib1.bibx48 bib1.bibx101" id="altparen.46"/>).  The freezing of internal tree water also changes the water permittivity, which affects VOD (e.g., <xref ref-type="bibr" rid="bib1.bibx108" id="altparen.47"/>).  To avoid the complications of frozen boles and align with previous work done during the warm season at the US-NR1 site (e.g., <xref ref-type="bibr" rid="bib1.bibx55 bib1.bibx19" id="altparen.48"/>), we restrict our analysis to the “warm” season, which we define as starting when the boles thaw in spring and ending when they freeze in the fall.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Measurements</title>
      <p id="d2e1092">The measurements used in our study are summarized in Table <xref ref-type="table" rid="T1"/>.  Most of these measurements have been described in previous publications (e.g., <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx101" id="altparen.49"/>. In the Appendices we provide additional information on the measurements of ET (Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS1"/>), turbulence (Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS2"/>), net radiation (Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS3"/>), surface wetness (Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS4"/>), dielectric permittivity <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and tree bole water content (Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS5"/>), and airborne lidar (Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS6"/>).  Precipitation measurements were collected at the nearby NOAA US Climate Reference Network (USCRN) site (see Table <xref ref-type="table" rid="T1"/>).  Below, we describe the VOD and tree sway measurements and our use of the above-canopy and subcanopy ET measurements.</p>

<table-wrap id="T1" specific-use="star" orientation="landscape"><label>Table 1</label><caption><p id="d2e1129">Instrumentation and measurements relevant to our study. Sensor heights are the distance above the ground. Sample rate refers to the highest rate of archived data samples [Hz]; for data sampled less frequently than 1 Hz, the sample rate is shown as <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> is the time difference between samples (in seconds).  Deployment dates refer to a particular measurement at this location. Dimensionless measurements are indicated with units of “[–]” .</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="left"/>
     <oasis:colspec colnum="9" colname="col9" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Measured variables</oasis:entry>
         <oasis:entry colname="col2">Symbol</oasis:entry>
         <oasis:entry colname="col3">Units</oasis:entry>
         <oasis:entry colname="col4">Sensor</oasis:entry>
         <oasis:entry colname="col5">Manufacturer<sup>*</sup></oasis:entry>
         <oasis:entry colname="col6">Sensor</oasis:entry>
         <oasis:entry colname="col7">Sample</oasis:entry>
         <oasis:entry colname="col8">Deployment dates</oasis:entry>
         <oasis:entry colname="col9">Additional</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">type</oasis:entry>
         <oasis:entry colname="col5">make/model</oasis:entry>
         <oasis:entry colname="col6">height(s)</oasis:entry>
         <oasis:entry colname="col7">rate</oasis:entry>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9">comments</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">[m]</oasis:entry>
         <oasis:entry colname="col7">[Hz]</oasis:entry>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Vegetation optical</oasis:entry>
         <oasis:entry colname="col2">VOD</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">GNSS</oasis:entry>
         <oasis:entry colname="col5">Septentrio,</oasis:entry>
         <oasis:entry colname="col6">26.0</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">August 2022–August 2023</oasis:entry>
         <oasis:entry colname="col9">A</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">depth</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">model PolaRx5</oasis:entry>
         <oasis:entry colname="col6">1.27</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">August 2022–August 2023</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Tree sway frequency</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">sway</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Hz</oasis:entry>
         <oasis:entry colname="col4">Accelerometer</oasis:entry>
         <oasis:entry colname="col5">GCDC, model X16-1D</oasis:entry>
         <oasis:entry colname="col6">12.0</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M67" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 12</oasis:entry>
         <oasis:entry colname="col8">May 2016–October 2023</oasis:entry>
         <oasis:entry colname="col9">B</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Air temperature</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">°C</oasis:entry>
         <oasis:entry colname="col4">Platinum resistance</oasis:entry>
         <oasis:entry colname="col5">Vaisala, HMP-35D</oasis:entry>
         <oasis:entry colname="col6">21.5</oasis:entry>
         <oasis:entry colname="col7">1</oasis:entry>
         <oasis:entry colname="col8">November 1998–present</oasis:entry>
         <oasis:entry colname="col9">C</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">thermometer (PRT)</oasis:entry>
         <oasis:entry colname="col5">REBS, model THP-1</oasis:entry>
         <oasis:entry colname="col6">2.0</oasis:entry>
         <oasis:entry colname="col7">1</oasis:entry>
         <oasis:entry colname="col8">December 2014–present</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Bole temperature</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">bole</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">°C</oasis:entry>
         <oasis:entry colname="col4">Type E</oasis:entry>
         <oasis:entry colname="col5">Omega,</oasis:entry>
         <oasis:entry colname="col6">1.5</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">900</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">July 2017–present</oasis:entry>
         <oasis:entry colname="col9">D</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">thermocouple</oasis:entry>
         <oasis:entry colname="col5">FF-E-20-TWSH-SLE</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Bole apparent</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">Capacitance/</oasis:entry>
         <oasis:entry colname="col5">Meter,</oasis:entry>
         <oasis:entry colname="col6">1.5</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">900</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">July 2017–present</oasis:entry>
         <oasis:entry colname="col9">E</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">dielectric permittivity</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">frequency domain</oasis:entry>
         <oasis:entry colname="col5">model GS3</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Wetness</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">0 <inline-formula><mml:math id="M73" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> dry, 1 <inline-formula><mml:math id="M74" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> wet</oasis:entry>
         <oasis:entry colname="col4">Circuit board</oasis:entry>
         <oasis:entry colname="col5">CSI, model 237</oasis:entry>
         <oasis:entry colname="col6">13.5</oasis:entry>
         <oasis:entry colname="col7">1</oasis:entry>
         <oasis:entry colname="col8">November 1998–present</oasis:entry>
         <oasis:entry colname="col9">F</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Precipitation</oasis:entry>
         <oasis:entry colname="col2">Precip</oasis:entry>
         <oasis:entry colname="col3">mm h<sup>−1</sup></oasis:entry>
         <oasis:entry colname="col4">Weighing gauge</oasis:entry>
         <oasis:entry colname="col5">Geonor, model T-200B</oasis:entry>
         <oasis:entry colname="col6">1.5</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">3600</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">October 2003–present</oasis:entry>
         <oasis:entry colname="col9">G</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Evapotranspiration</oasis:entry>
         <oasis:entry colname="col2">ET</oasis:entry>
         <oasis:entry colname="col3">mm h<sup>−1</sup></oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9">H</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M78" display="inline"><mml:mo>⟹</mml:mo></mml:math></inline-formula> 3-D wind components</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M79" display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M80" display="inline"><mml:mi>v</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M81" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula>,</oasis:entry>
         <oasis:entry colname="col3">m s<sup>−1</sup></oasis:entry>
         <oasis:entry colname="col4">Sonic</oasis:entry>
         <oasis:entry colname="col5">CSI, CSAT3</oasis:entry>
         <oasis:entry colname="col6">21.5,</oasis:entry>
         <oasis:entry colname="col7">10,</oasis:entry>
         <oasis:entry colname="col8">November 1998–present</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">and turbulence</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">anemometer</oasis:entry>
         <oasis:entry colname="col5">CSI, CSAT3</oasis:entry>
         <oasis:entry colname="col6">5.7,</oasis:entry>
         <oasis:entry colname="col7">10,</oasis:entry>
         <oasis:entry colname="col8">August 2003–present</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">CSI, CSAT3</oasis:entry>
         <oasis:entry colname="col6">2.5</oasis:entry>
         <oasis:entry colname="col7">10</oasis:entry>
         <oasis:entry colname="col8">August 2003–present</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M84" display="inline"><mml:mo>⟹</mml:mo></mml:math></inline-formula> Water vapor density</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi>v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">mg m<sup>−3</sup></oasis:entry>
         <oasis:entry colname="col4">Infrared gas</oasis:entry>
         <oasis:entry colname="col5">LI-COR, LI-7200</oasis:entry>
         <oasis:entry colname="col6">21.5,</oasis:entry>
         <oasis:entry colname="col7">20,</oasis:entry>
         <oasis:entry colname="col8">May 2014–present</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">analyzer (IRGA)</oasis:entry>
         <oasis:entry colname="col5">LI-COR, LI-7500A</oasis:entry>
         <oasis:entry colname="col6">2.5,</oasis:entry>
         <oasis:entry colname="col7">10,</oasis:entry>
         <oasis:entry colname="col8">September 2014–present</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">LI-COR, LI-7500</oasis:entry>
         <oasis:entry colname="col6">2.5</oasis:entry>
         <oasis:entry colname="col7">10</oasis:entry>
         <oasis:entry colname="col8">July 2003–September 2023</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e1160"><sup>*</sup> Company websites and acronyms used are as follows. CSI: Campbell Scientific, Inc., Logan, UT 84321 (<uri>https://www.campbellsci.com</uri>, last access: 10 October 2025); GCDC: Gulf Coast Data Concepts, LLC., Waveland, MS 39576 (<uri>https://gulfcoastdataconcepts.com</uri>, last access: 10 October 2025); Geonor: Augusta, NJ 07822 (<uri>https://www.geonor.com</uri>, last access: 10 October 2025); LI-COR: LI-COR Biosciences, Lincoln, NE 68504 (<uri>https://www.licor.com</uri>, last access: 10 October 2025); Omega: Omega Engineering Inc., Norwalk, CT 06854 (<uri>https://www.omega.com</uri>, last  access: 10 October 2025); REBS:  Radiation and Energy Balance Systems, Inc. Seattle, WA 98115 (206-624-7221); Septentrio: 3001 Leuven, Belgium (<uri>https://www.septentrio.com</uri>, last access: 10 October 2025). A: see <xref ref-type="bibr" rid="bib1.bibx110" id="text.50"/>; each PolaRx5 GNSS receiver is connected to a Trimble model Zephyr 2 antenna.  Both GNSSs were co-located at the top of the US-NR1 main tower between 17 June and 31 July 2022.  The 5 s sampling interval refers to the GNSS BINary EXchange (BINEX) data files. B: see Sect. <xref ref-type="sec" rid="Ch1.S2.SS2.SSS2"/> and <xref ref-type="bibr" rid="bib1.bibx101" id="text.51"/> for additional details; the accelerometer is connected to a single spruce tree.  The detrended tree sway frequency uses the symbol <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. C: see <xref ref-type="bibr" rid="bib1.bibx19" id="text.52"/> for additional details. D: see <xref ref-type="bibr" rid="bib1.bibx11" id="text.53"/> for additional details.  E: see Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS5"/> for additional details.  When purchased, the GS3 sensor was manufactured by Decagon Devices.   F: see Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS4"/> and <xref ref-type="bibr" rid="bib1.bibx19" id="text.54"/> for additional details; the CSI 237 sensor was oriented horizontally just below the canopy top.  The output from the sensor has been normalized so that a value of zero corresponds to dry conditions, while a value of 1 corresponds to completely wet conditions.  Values between 0 and 1 correspond to “slightly wet” conditions. G: see <xref ref-type="bibr" rid="bib1.bibx35" id="text.55"/> for additional details; precipitation is from the NOAA US Climate Reference Network (USCRN) Hills Mills site, which uses a small double-fence intercomparison reference (SDFIR) type of wind shield around the precipitation gauge and is located in a clearing about 500 m northeast the US-NR1 main tower. H: the planar-fit wind components are in the streamwise <inline-formula><mml:math id="M56" display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula>, crosswind <inline-formula><mml:math id="M57" display="inline"><mml:mi>v</mml:mi></mml:math></inline-formula>, and vertical <inline-formula><mml:math id="M58" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula> directions. Evapotranspiration (ET) is calculated from the covariance between vertical wind <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and water vapor <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi>v</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> fluctuations.  See Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS1"/> and <xref ref-type="bibr" rid="bib1.bibx19" id="text.56"/> for additional details.  The sonic anemometers were also used to calculate a local friction velocity <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi>z</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:msubsup><mml:mfenced close=")" open="("><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>u</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mfenced><mml:mi>z</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mfenced close=")" open="("><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>v</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mfenced><mml:mi>z</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">0.25</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> at each sonic height, <inline-formula><mml:math id="M62" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula>.</p></table-wrap-foot></table-wrap>

<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Vegetation optical depth (VOD)</title>
      <p id="d2e2220">Two identical Septentrio PolaRx5 GNSS receivers, each connected to a Trimble Zephyr 2 antenna, were used to derive a 30 min time series of VOD measurement (Table <xref ref-type="table" rid="T1"/>).  One GNSS (gnssA) was located above the forest canopy and one (gnssB) near the ground.  The above-canopy gnssA antenna was mounted on the southwest corner of the 26 m US-NR1 tower and extended to just above the top of the tower (see photo in the Supplement, Fig. S1a).  The subcanopy gnssB antenna was located on a tripod 1.27 m above the ground (Fig. S1b).  The gnssA antenna was around 25 m east and 10 m south of the gnssB antenna (Fig. <xref ref-type="fig" rid="F1"/>), and photos of gnssB taken from the top of the US-NR1 tower and on the ground looking at the subcanopy south and east of gnssB are shown in the Supplement (Fig. S2).  With GNSS signals there is a data gap to the north; in addition, the northwest and southeast corners of the tower had lightning dissipators that extended above the gnssA antenna.  Therefore, GNSS signals from the north and areas affected by the dissipators were excluded from the VOD calculation (Fig. S3). The footprint of the VOD measurement is shown in Fig. <xref ref-type="fig" rid="F1"/> and further discussed in Appendix <xref ref-type="sec" rid="App1.Ch1.S2"/>.</p>
      <p id="d2e2231">The two Septentrio receivers collected signals from all GNSS constellations (e.g., GPS, GLONASS, Galileo, BeiDou) which are needed to make sub-hourly VOD measurements <xref ref-type="bibr" rid="bib1.bibx57" id="paren.57"/>.  The GNSS uses L-band frequencies (1000–2000 MHz, wavelengths of 15–30 cm) because this frequency range is minimally affected by weather phenomena such as rain, snow, and clouds <xref ref-type="bibr" rid="bib1.bibx91" id="paren.58"/>.  The effect of ground reflections is negligible for the purpose of calculating VOD from the direct (line-of-sight) signals <xref ref-type="bibr" rid="bib1.bibx44" id="paren.59"/>.  The data processing and calculation of hourly VOD time series used the L1 band (1575 MHz) and followed the procedures in <xref ref-type="bibr" rid="bib1.bibx57" id="text.60"/>.  A brief summary of the VOD data-processing steps is as follows: (1) calculate the GNSS signal attenuation due to the forest by comparing the GNSS signal strength from the forest receiver (gnssB) to the one above the canopy (gnssA), (2) use the signal strength difference to estimate the forest transmissivity <inline-formula><mml:math id="M87" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>, and (3) calculate an initial estimate of VOD from VOD <inline-formula><mml:math id="M88" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mi>ln⁡</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>)</mml:mo><mml:mi>cos⁡</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (where <inline-formula><mml:math id="M90" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M91" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula> are the canopy transmissivity and incidence angle, respectively). Because the GNSS samples the forest at irregular temporal intervals and angles, the long-term mean as a function of azimuth and elevation angle is used to improve the precision of the hourly measurements <xref ref-type="bibr" rid="bib1.bibx57" id="paren.61"/>.  Linear interpolation over time was used to convert the hourly data to a 30 min time series. For the 2 months prior to deploying gnssB on the ground, both GNSSs were mounted side by side at the top of the tower to determine the appropriate system settings, ensure good inter-system agreement, and exclude any systematic biases. For our study period, the VOD data were restricted to the warm season, split between 2022 (September–October) and 2023 (June–August).</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>Tree sway motion</title>
      <p id="d2e2311">The tree sway motion was measured with a single three-axis accelerometer (Gulf Coast Data Concepts, model X16-1D), which is the same as used by <xref ref-type="bibr" rid="bib1.bibx101" id="text.62"/>.  The X16-1D sensor was located at a height of around 9 m on a 13 m tall spruce tree on the northwest side of the US-NR1 main tower.  Processing of the raw tree sway accelerations [m s<sup>−2</sup>] into frequency [Hz] used the method described by <xref ref-type="bibr" rid="bib1.bibx101" id="text.63"/>, except that a 30 min analysis window was used.  A brief summary of the data-processing steps is as follows: (1) spectral analysis of the 12 Hz acceleration data to determine a primary frequency of the tree-swaying motion <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">sway</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for each 30 min period, (2) calculate a sliding 72 h mean-filtered <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">sway</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> time series, (3) remove any 30 min <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">sway</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> outliers relative to the 72 h mean-filtered data or values with low spectral power (i.e., due to low wind speeds), and (4) gap-fill any missing or removed 30 min time periods in the <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">sway</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> time series using splines. A detailed description of these steps can be found in Sect. 3.2 of <xref ref-type="bibr" rid="bib1.bibx101" id="text.64"/>, with raw accelerometer data available from <xref ref-type="bibr" rid="bib1.bibx100" id="text.65"/>.</p>
      <p id="d2e2383">The natural sway frequency <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">sway</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of a coniferous tree acts like a damped harmonic oscillator; therefore, it does not depend on wind speed.  This is highlighted in Sect. 3 of <xref ref-type="bibr" rid="bib1.bibx101" id="text.66"/> as well as many other studies (e.g., <xref ref-type="bibr" rid="bib1.bibx88 bib1.bibx121 bib1.bibx59" id="altparen.67"/>), who show that <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">sway</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> can be described by the cantilever model:

              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M99" display="block"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">sway</mml:mi></mml:msub><mml:mo>∝</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">π</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>K</mml:mi><mml:mi>m</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">0.5</mml:mn></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M100" display="inline"><mml:mi>K</mml:mi></mml:math></inline-formula> is the flexural rigidity of the tree and <inline-formula><mml:math id="M101" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula> is the mass of the tree, including the branches and needles.  As precipitation accumulates on the needles and branches, <inline-formula><mml:math id="M102" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula> changes, which alters <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">sway</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.  Therefore, <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">sway</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is primarily a structural property of the tree that depends on mass (tree biomass plus water in/on the tree), elasticity (which varies with tree temperature, thermal state, and water content), and tree geometry (tree height and diameter). Changes to the magnitude of horizontal wind speed will modify the amplitude of the tree motion, not the frequency.</p>
      <p id="d2e2492">Tree sway frequency <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">sway</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> data were collected at the site starting in fall of 2014 until summer 2023, with some missing periods.  During spring there was a gradual decrease in the sway frequency, which reached a minimum sometime in July and then increased into late summer and fall (Fig. S5).  This was presumably due to a combination of changes to the temperature and/or moisture content of the tree, both of which have well-known effects on wood elasticity (e.g., <xref ref-type="bibr" rid="bib1.bibx42 bib1.bibx40" id="altparen.68"/>). Because we are interested in short-term (hourly) changes in tree sway due to precipitation we have used a sliding 10 d median filter to remove the low-frequency trend, as shown for 2019 in Fig. S5. For the detrended tree sway frequency <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, we chose to set the mean to a value near 1, which is only slightly larger than the typical mean value of around 0.94 Hz. We have left the units of <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in Hz, but this only applies to deviations from the mean.  As we show in Supplement Fig. S6 (and will further discuss in Sect. <xref ref-type="sec" rid="Ch1.S3.SS2"/>), the diel cycle analysis using either <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">sway</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> produced similar results.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <label>2.2.3</label><title>Above-canopy and subcanopy ET</title>
      <p id="d2e2564">Technical details about the 21.5 and 2.5 m ET measurements are in Table <xref ref-type="table" rid="T1"/> and Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS1"/>. The US-NR1 subcanopy turbulent fluxes have been used previously in winter to estimate snow interception <xref ref-type="bibr" rid="bib1.bibx83 bib1.bibx51" id="paren.69"/> and examine changes in snowpack temperature <xref ref-type="bibr" rid="bib1.bibx18" id="paren.70"/>.  Here, we use assume that the above-canopy flux represents total ecosystem ET (i.e., tree transpiration <inline-formula><mml:math id="M110" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> canopy evaporation <inline-formula><mml:math id="M111" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> ground evaporation), whereas the subcanopy flux represents only the ground evaporation and any transpiration from low vegetation (i.e., below the 2.5 m subcanopy sensor).  Therefore, the difference between the above-canopy and subcanopy fluxes isolates the transpiration and intercepted water evaporation (e.g., <xref ref-type="bibr" rid="bib1.bibx6 bib1.bibx126 bib1.bibx83 bib1.bibx95 bib1.bibx127" id="altparen.71"/>).  Possible issues with this technique are further discussed by <xref ref-type="bibr" rid="bib1.bibx127" id="text.72"/> and in Sect. <xref ref-type="sec" rid="Ch1.S3.SS6"/>.  We will categorize ET by different wetness conditions (Sect. <xref ref-type="sec" rid="Ch1.S2.SS4"/>) to get a quantitative estimate of canopy evaporation from the forest.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Modeling with CLM4.5</title>
      <p id="d2e2611">Because the magnitudes of VOD and tree sway frequency are related to water content within the canopy, we decided it was worthwhile to compare these observations with canopy water content determined by a land surface model.  Previous studies of canopy evaporation at US-NR1 by <xref ref-type="bibr" rid="bib1.bibx20" id="text.73"/> used the big-leaf land surface model CLM4.5, making these results readily available for inclusion in our current study.</p>
      <p id="d2e2617">When liquid water is present on the canopy, CLM4.5 uses the leaf boundary layer resistance <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> scaled by the potential evaporation from wet foliage to evaporate the canopy water.  The expression for <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is

            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M114" display="block"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>v</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi mathvariant="normal">av</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">leaf</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the turbulent transfer coefficient between the canopy surface and canopy air (<inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M117" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.01 m s<sup>−0.5</sup>), <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi mathvariant="normal">av</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is an estimate of the wind speed within the subcanopy, and <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">leaf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the characteristic dimension of the leaves in the direction of wind flow (with a default value of 0.04 m).  The big leaf of CLM4.5 is divided into areas where evaporation (wet areas) and transpiration (dry areas) occur and scaled accordingly.  The water and energy budgets within CLM4.5 must be balanced and a 30-step iterative process is used to simultaneously solve the system of equations. For full details on these iterative steps see Chap. 5 in <xref ref-type="bibr" rid="bib1.bibx92" id="text.74"/>.</p>
      <p id="d2e2755">The CLM4.5 parameter <italic>maximum leaf wetted fraction</italic>
<inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mi mathvariant="normal">wet</mml:mi><mml:mo>max⁡</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> limits the area of the leaf surface that is wet.  A larger <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mi mathvariant="normal">wet</mml:mi><mml:mo>max⁡</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> value decreases the dry portion of the canopy undergoing transpiration and increases the leaf area for evaporation of canopy water. For <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mi mathvariant="normal">wet</mml:mi><mml:mo>max⁡</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M124" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1, the entire leaf is covered in water, which is the CLM4.5 default value <xref ref-type="bibr" rid="bib1.bibx92 bib1.bibx20" id="paren.75"/>. In <xref ref-type="bibr" rid="bib1.bibx20" id="text.76"/>, 14 different CLM4.5 configurations were examined; they concluded that <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mi mathvariant="normal">wet</mml:mi><mml:mo>max⁡</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M126" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.02 was more appropriate for a needleleaf forest than <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mi mathvariant="normal">wet</mml:mi><mml:mo>max⁡</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M128" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.  One of the CLM4.5 variables (“H2OCAN”) represents the amount of intercepted water on the canopy surfaces. Because changes in H2OCAN should be similar to changes in VOD, we use four of the CLM4.5 cases from <xref ref-type="bibr" rid="bib1.bibx20" id="text.77"/> to examine “CLM Canopy H2O”.  The cases we chose to include are A1 and F2 (<inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mi mathvariant="normal">wet</mml:mi><mml:mo>max⁡</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M130" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1) and B0 and G1 (<inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mi mathvariant="normal">wet</mml:mi><mml:mo>max⁡</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M132" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.02).  Other differences between the A1, F2, B0, and G1 configurations are related to the subcanopy turbulent transfer coefficient, stability criteria, and use of friction velocity; anyone curious for additional details can refer to Table 1 in <xref ref-type="bibr" rid="bib1.bibx20" id="text.78"/>.  The mechanisms that control the evaporation of warm-season intercepted water in CLM4.5 are the same as those in CLM5 <xref ref-type="bibr" rid="bib1.bibx69" id="paren.79"/>.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Data analysis</title>
      <p id="d2e2913">To study the impact of rainfall interception on the evaporative fluxes and VOD, we followed the methodology of <xref ref-type="bibr" rid="bib1.bibx19" id="text.80"/> and label days when the daily rainfall exceeded 3 mm as “wet” days.  The choice to use 3 mm as the wet-day criterion was a balance between effectively capturing the effect of precipitation and providing enough wet periods to improve the wet-day statistics.  To examine the effect of precipitation on VOD, ET, and the other variables we use the following strategy: first, we designate the precipitation state of the day of interest as either “Wet” or “Dry”, and we then indicate the preceding-day precipitation state with a lowercase letter (“w” for wet or “d” for dry) and create composite diel cycles for dDry (dry day followed by a dry day), dWet (dry day followed by a wet day), wWet (wet day followed by a wet day), and wDry (wet day followed by a dry day) days.  Only 30 min periods when all variables of interest were available were used to create the diel cycle composites.</p>
      <p id="d2e2919">It is important to realize that eddy covariance fluxes are sensitive to rain accumulating on sonic anemometer transducers and gas analyzer windows, so therefore on dWet and wWet days either gap-filling of ET is needed or periods with heavy rain are excluded from the analysis. Therefore, our results focus on wDry days where there is zero to little precipitation (daily total <inline-formula><mml:math id="M133" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 3 mm) and the flux instruments have a chance to dry out.  In order to improve the statistics for certain variables, we use additional years of data.  For example, for the ET diel cycle analysis, we used ET data from the warm season between the years 2004 and 2022.  Whenever this occurs, it will be described in the figure caption.</p>
      <p id="d2e2929">Unless otherwise noted, ET and all other statistics are calculated over 30 min periods. The sampling rates of the primary variables are listed in Table <xref ref-type="table" rid="T1"/>. To ease comparison with other studies (e.g., <xref ref-type="bibr" rid="bib1.bibx64 bib1.bibx57" id="altparen.81"/>), we have expressed ET and the rate of precipitation in units of millimeters of H<sub>2</sub>O per hour (mm h<sup>−1</sup>).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Time series</title>
      <p id="d2e2974">Figure <xref ref-type="fig" rid="F2"/> demonstrates how VOD, tree sway frequency <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">sway</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and the dielectric permittivity <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (our proxy for tree water content) were modified by precipitation in fall 2022.  The “wet” days are highlighted by thin vertical black lines and the blue squares in Fig. <xref ref-type="fig" rid="F2"/>c. Similar time series for the 2023 spring/summer period are in the Supplement (Fig. S7).  As mentioned in Sect. <xref ref-type="sec" rid="Ch1.S2.SS4"/>, our analysis focused on the period after the boles had thawed in spring and before they froze in fall, and the precipitation was rain.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e3007">Time series from 2022 of <bold>(a)</bold> midday (10:00–14:00 MST) air temperature <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at 21.5 and 2 m heights, nighttime (22:00–02:00 MST) 2 m <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and 30 min bole temperature (at 12 mm depth). <bold>(b)</bold> GNSS-based vegetation optical depth (VOD) and signal strength anomalies, <bold>(c)</bold> tree sway frequency <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">sway</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(d)</bold> apparent dielectric permittivity <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <bold>(e)</bold> precipitation and surface wetness. VOD and <inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are both dimensionless as indicated by “[–]”.  The thin vertical black lines and filled blue periods in panel <bold>(c)</bold> indicate when wet days occurred. The thicker vertical black line at day of year 277 indicates the cut-off date of our study.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/22/5741/2025/bg-22-5741-2025-f02.png"/>

        </fig>

      <p id="d2e3090">As one would expect, bole temperature varied between the daytime and nighttime air temperatures (Fig. <xref ref-type="fig" rid="F2"/>a).  We ended our 2022 analysis period when the bole temperature went below 0 °C on 4 October 2022 (DOY 277).  The freezing of tree sap water and dependence of water permittivity on temperature have been shown to have a large effect on VOD (e.g., <xref ref-type="bibr" rid="bib1.bibx108" id="altparen.82"/>) as well as changes to the tree flexural stiffness, which affects tree sway (e.g., <xref ref-type="bibr" rid="bib1.bibx45 bib1.bibx48" id="altparen.83"/>).  This change in behavior in VOD, <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">sway</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> occurred just before DOY 300 in Fig. <xref ref-type="fig" rid="F2"/> when the air temperature dipped below <inline-formula><mml:math id="M145" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 °C and the boles became frozen.</p>
      <p id="d2e3134">Variations in VOD were primarily due to changes in the subcanopy GNSS (gnssB signal strength anomaly), whereas the gnssA anomaly at the top of the tower was stable over the entire period (Fig. <xref ref-type="fig" rid="F2"/>b), including in colder conditions. This indicates that the method used to calculate VOD worked as expected, and it was gnssB in the forest that was affected by the canopy-intercepted precipitation.  The bias in the signal strength anomalies between the two GNSS receivers is also indicative of the effect of the canopy.</p>
      <p id="d2e3139">During precipitation tree sway frequency dropped on the order of 0.05 Hz (Fig. <xref ref-type="fig" rid="F2"/>b), which is consistent with previous results (e.g., <xref ref-type="bibr" rid="bib1.bibx30" id="altparen.84"/>). In addition to the frequency drops due to precipitation, there was a more gradual low-frequency change over time, which we have removed as described in Sect. <xref ref-type="sec" rid="Ch1.S2.SS2.SSS2"/>. The VOD time series also has a very weak low-frequency trend that we did not remove (because its removal would not affect our results). The dielectric permittivity of the sap water in the tree boles increased in magnitude following precipitation events and decreased sharply as the boles froze (Fig. <xref ref-type="fig" rid="F2"/>d).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Diel cycle during dDry, dWet, wWet, and wDry days</title>
      <p id="d2e3159">To summarize how precipitation affected our observations, net radiation <inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">net</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, ET, VOD, detrended tree sway frequency <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, surface wetness, and precipitation from our analysis period (fall 2022 and spring/summer 2023) are composited in Fig. <xref ref-type="fig" rid="F3"/> based on the dDry, dWet, wWet, and wDry precipitation states described in Sect. <xref ref-type="sec" rid="Ch1.S2.SS4"/>.  During wet periods <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">net</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F3"/>a) and ET (Fig. <xref ref-type="fig" rid="F3"/>b) were both reduced below dDry conditions; however, on a wDry day there was an increase in ET (relative to dDry conditions) of around 0.1 mm h<sup>−1</sup> at midday, which is due to evaporation of recently fallen rainwater on the vegetation and ground <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx20" id="paren.85"/>.</p>

      <fig id="F3"><label>Figure 3</label><caption><p id="d2e3221">The warm-season mean composite diel cycle of <bold>(a)</bold> net radiation <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">net</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(b)</bold> evapotranspiration (ET), <bold>(c)</bold> detrended tree sway frequency <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(d)</bold> vegetation optical depth (VOD) and wetness, and <bold>(e)</bold> precipitation for each precipitation state (dDry, dWet, wWet, and wDry) where the precipitation state for each diel cycle is identified above panel <bold>(a)</bold> and separated by thin vertical black lines. In panels <bold>(a)</bold> and <bold>(b)</bold>, the dDry diel cycle is repeated in the dWet, wWet, and wDry states as a red line.  The right axis of panel <bold>(b)</bold> shows ET as latent heat flux with units of W m<sup>−2</sup>. <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>E</mml:mi></mml:mrow></mml:math></inline-formula>. The diel cycle is calculated from 30 min measurements during the warm season for August–October 2022 and June–August 2023, and the approximate number of days (N) used to create each composite is shown in panel <bold>(a)</bold>. More information on the measurements, precipitation state, and data compositing is within the text.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/22/5741/2025/bg-22-5741-2025-f03.png"/>

        </fig>

      <p id="d2e3306">On a dDry day, VOD was around 0.37 and fairly constant over the diel cycle (Fig. <xref ref-type="fig" rid="F3"/>d).  As precipitation occurred (i.e., dWet and wWet days), VOD increased to between 0.55 and 0.61.  The maximum VOD value of 0.61 occurred on the afternoon/evening of a wWet day, which matches the timing of the highest precipitation amounts (Fig. <xref ref-type="fig" rid="F3"/>e). On a wDry day, VOD was initially high (at 00:00 MST) but by the afternoon had recovered to near the dDry value.</p>
      <p id="d2e3314">The impact of precipitation on the tree sway frequency (Fig. <xref ref-type="fig" rid="F3"/>c) is almost the mirror image of the VOD pattern (Fig. <xref ref-type="fig" rid="F3"/>d), and the linear relationship between VOD and sway frequency is shown in Fig. <xref ref-type="fig" rid="F4"/>. Here, it is clear that the low-frequency detrending of the tree sway data (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS2.SSS2"/>) did not significantly modify the results (i.e., the slope of VOD versus <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">sway</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was <inline-formula><mml:math id="M155" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.26 compared to <inline-formula><mml:math id="M156" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.34 for VOD versus <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). It is highly encouraging that these two completely independent methods (VOD and tree sway)  show consistent changes as the canopy becomes wet and dries.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e3364">The relationship between vegetation optical depth (VOD) and detrended tree sway frequency <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from the composite diel cycle shown in Fig. <xref ref-type="fig" rid="F3"/> is shown. For comparison, we have included VOD versus non-detrended tree sway frequency <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">sway</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (see legend); the red lines are linear fits with the fit coefficients using <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">sway</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> listed near each line.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/22/5741/2025/bg-22-5741-2025-f04.png"/>

        </fig>

      <p id="d2e3419">The surface wetness data closely matched the VOD trends with an important exception: the wetness sensor rapidly dried in the early morning (at around 08:00 MST, i.e., when <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">net</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increased sharply) for the dWet, wWet, and wDry days. We describe some of the limitations with the wetness sensor in Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS4"/> and summarize our thoughts here: (i) the wetness sensor was located near the top of the canopy and therefore had increased exposure to radiation and wind, (ii) the wetness sensor is a small flat plate that does not properly represent the water-holding capacity of an evergreen branch/needles, and (iii) the mountain plain wind pattern at the site leads to clear mornings (which encourage evaporation), while clouds/precipitation typically occurred in the afternoon or evening (Fig. <xref ref-type="fig" rid="F3"/>e). Therefore, wetness data should be considered an estimate of how long it takes the water to evaporate from a flat, hard, open surface near the canopy top.  At best, it could represent leaf wetness in the upper part of the forest canopy, but it is not indicative of the entire forest drying (and therefore reasonable to see the wetness sensor drying faster compared to what can be inferred from VOD or tree sway motion).</p>
      <p id="d2e3437">The time series of dielectric permittivity (Fig. <xref ref-type="fig" rid="F2"/>d) suggests that <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> would provide valuable information about how the internal sap water of the trees was modified by precipitation.  However, the dielectric permittivity included many large jumps and shifts that we could not explain and were corrected as described in Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS5"/>. Over the diel cycle, it is expected that morning increases in transpiration will reduce the trunk water content and trunk diameter (e.g., <xref ref-type="bibr" rid="bib1.bibx132 bib1.bibx90" id="altparen.86"/>). As shown in Fig. S8c, on dDry, dWet, and wDry days, <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> reached a maximum just after sunrise (at around 07:00 MST) followed by an afternoon minimum (after the midday transpiration maximum).  On wWet days, when transpiration was reduced, the diel cycle of <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was fairly constant. In general, <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> on wet days was slightly elevated compared to dry days, but the dDry and wDry days were not different enough to extract insightful information, as we had for VOD and tree sway (Fig. <xref ref-type="fig" rid="F3"/>c, d).</p>
      <p id="d2e3494">There is an important implication from the dDry periods (when most of the ET is transpiration, not evaporation).  Though <inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> had a dDry diel cycle with a clear early-morning maximum and late-afternoon minimum, VOD had relatively small variation without any apparent pattern (Fig. <xref ref-type="fig" rid="F5"/>). This suggests that, at our site, VOD changes were largely controlled by water on the canopy <italic>surfaces</italic>, not the internal water content of the trees. In contrast, tree sway frequency had a diel pattern on dDry days (Fig. <xref ref-type="fig" rid="F5"/>c) that was similar to that of <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F5"/>e), suggesting that tree sway frequency was more affected by internal tree water content changes than VOD. <xref ref-type="bibr" rid="bib1.bibx29" id="text.87"/> also show that tree sway motion followed changes in internal tree water content.</p>

      <fig id="F5"><label>Figure 5</label><caption><p id="d2e3535">The warm-season mean composite diel cycle of <bold>(a)</bold> net radiation <inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">net</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(b)</bold> evapotranspiration (ET) (and latent heat flux <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>E</mml:mi></mml:mrow></mml:math></inline-formula>), <bold>(c)</bold> detrended tree sway frequency <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(d)</bold> vegetation optical depth (VOD) and wetness, and <bold>(e)</bold> apparent dielectric permittivity <inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for dDry conditions. In panels <bold>(a)</bold>–<bold>(b)</bold> and <bold>(e)</bold>, the results are from the years 2018–2021 (<inline-formula><mml:math id="M173" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M174" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 322 dDry days), while in panels <bold>(c)</bold> and <bold>(d)</bold> the results are from the years 2022–2023. For clarity, each panel lists the average number days (<inline-formula><mml:math id="M175" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>) used to create the composite.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/22/5741/2025/bg-22-5741-2025-f05.png"/>

        </fig>

      <p id="d2e3640">The lack of a clear diel pattern in VOD during dDry conditions was a surprising result because previous studies (e.g., <xref ref-type="bibr" rid="bib1.bibx53 bib1.bibx57 bib1.bibx130" id="altparen.88"/>) have shown a VOD diel pattern that they related to the changes in internal water content of the forest/trees.  As we looked closer at this, we realized that US-NR1 VOD in dDry conditions was much lower than VOD from the other sites (both the mean value and the diel range in dry conditions). For example, the US-NR1 dDry VOD diel range is 0.36 to 0.38 (Fig. <xref ref-type="fig" rid="F5"/>d), whereas the VOD diel range in the study by <xref ref-type="bibr" rid="bib1.bibx53" id="text.89"/> was on the order of 0.85 to 1.1 (their Fig. 4) and that of <xref ref-type="bibr" rid="bib1.bibx130" id="text.90"/> had a range of 0.62 to 0.65 (their Fig. 2). Both of these studies are from deciduous forests in the eastern USA. Though we cannot definitively explain the reason for low VOD at the US-NR1 site, we offer a few possible explanations: (i) the US-NR1 forest has a lower tree density, (ii) the internal water content of the coniferous US-NR1 trees is lower and stored differently within the tree bole than broadleaf trees in the more humid locations <xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx75" id="paren.91"/>, or (iii) there is too much noise in the VOD measurements to properly capture the true diel cycle in internal tree water content during dDry conditions (which is when the VOD signal is weakest).</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Diel cycle during a wDry day </title>
      <p id="d2e3665">We now take a closer look at the wDry diel cycle in Fig. <xref ref-type="fig" rid="F3"/>, which is re-plotted in Fig. <xref ref-type="fig" rid="F6"/> with a few important changes. First, for ET we used the warm seasons between 2004 and 2022 to create the wDry ET composite and include the subcanopy (2.5 m) ET fluxes (Fig. <xref ref-type="fig" rid="F6"/>a; the other precipitation states for 2004–2022 are shown in Fig. S9). Second, we use the ET diel cycle difference between dDry and wDry conditions to estimate the 2.5 m ground evaporation and 21.5 m canopy and ground evaporation (Fig. <xref ref-type="fig" rid="F6"/>b).  Third, we add a panel of CLM4.5 wDry Canopy H2O results for comparison to the observations (Fig. <xref ref-type="fig" rid="F6"/>e).  We also note that wDry days have much less actual rain than wWet and dWet days (Fig. <xref ref-type="fig" rid="F3"/>e), so ET on a wDry day has fewer missing or gap-filled data caused by instrument issues due to heavy rain (Sect. <xref ref-type="sec" rid="Ch1.S2.SS4"/>).</p>

      <fig id="F6"><label>Figure 6</label><caption><p id="d2e3685">The warm-season mean composite diel cycle of <bold>(a)</bold> evapotranspiration (ET) on wDry and dDry days at 21.5 and 2.5 m, <bold>(b)</bold> the ET difference between wDry and dDry conditions, <bold>(c)</bold> detrended tree sway frequency <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(d)</bold> vegetation optical depth (VOD) and wetness, and <bold>(e)</bold> CLM4.5 values of the canopy-intercepted water content for the A1, B0, F2, and G1 cases (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/> for case details). Panels <bold>(c)</bold>–<bold>(e)</bold> are for wDry conditions.  Linear fits to <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and VOD before and after 14:00 MST are shown as red lines (the pre-14:00 MST slope is S1, and the post-14:00 slope is S2). In panels <bold>(a)</bold>–<bold>(b)</bold>, the results are from the years 2004–2022 (<inline-formula><mml:math id="M178" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M179" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 176 wDry days), while in panel <bold>(e)</bold> the CLM4.5 results are from the years 1999–2003 and 2006–2014 (as in <xref ref-type="bibr" rid="bib1.bibx20" id="altparen.92"/>). For clarity, each panel lists the average number of days (<inline-formula><mml:math id="M180" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>) used to create the composite.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/22/5741/2025/bg-22-5741-2025-f06.png"/>

        </fig>

      <p id="d2e3774">When we examine the VOD and tree sway data over the 24 h wDry diel cycle, a fairly obvious change in slope versus time occurred at around 14:00 MST (Fig. <xref ref-type="fig" rid="F6"/>c, d).  We highlighted this by a linear fit through each period, as shown by the red lines in Fig. <xref ref-type="fig" rid="F6"/>c and d. For tree sway (Fig. <xref ref-type="fig" rid="F6"/>c), the slope changed from 0.052 to 0.008 Hz (d)<sup>−1</sup> (a slope decrease by a factor of 6.5). For VOD (Fig. <xref ref-type="fig" rid="F6"/>d), the slope changed from <inline-formula><mml:math id="M182" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.193 to <inline-formula><mml:math id="M183" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.034 (d)<sup>−1</sup> (a slope decrease by a factor of 5.6).  For both tree sway and VOD the smaller slopes after 14:00 MST were indicative of the intercepted water being removed from the canopy by evaporation.  The day-to-day variability in VOD and sway frequency was also smaller in the afternoon/evening of a wDry day compared to the early-morning and midday values (Fig. S10c, d).  As discussed in Sect. <xref ref-type="sec" rid="Ch1.S3.SS2"/>, the wetness sensor rapidly dried between 06:00 and 08:00 MST (Fig. <xref ref-type="fig" rid="F6"/>d) due to the sensor characteristics and location.</p>
      <p id="d2e3829">Above-canopy and subcanopy ET on dDry days both peaked around an hour before noon MST at around 0.25 and 0.06 mm h<sup>−1</sup>, respectively (Fig. <xref ref-type="fig" rid="F6"/>a).  In contrast, the corresponding ET values on wDry days had a similar pattern, but with peak midday values of 0.33 and 0.08 mm h<sup>−1</sup>.  The higher-magnitude ET on wDry days (relative to dDry) was due to the presence of liquid water on the trees and ground that enhanced evaporation; we show the enhancement amount as <inline-formula><mml:math id="M187" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>ET in Fig. <xref ref-type="fig" rid="F6"/>b. Between 00:00 and 06:00 MST on a wDry day, 21.5 m <inline-formula><mml:math id="M188" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>ET was fairly constant, suggesting a canopy evaporation rate of around 0.02 mm h<sup>−1</sup>.  It is important to note that 2.5 m ET during the nocturnal hours was very small (<inline-formula><mml:math id="M190" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 0.01 mm h<sup>−1</sup>), which suggests that nocturnal evaporation was primarily from the canopy, not the ground.  By the end of a wDry day (between 18:00 and 24:00 MST), there was no more liquid water to evaporate, and 21.5 m <inline-formula><mml:math id="M192" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>ET became small (<inline-formula><mml:math id="M193" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 0.01 mm h<sup>−1</sup>) (Fig. <xref ref-type="fig" rid="F6"/>b).  This ET result is consistent with the VOD and tree sway observations, which also suggest that the intercepted canopy water was fully evaporated by the afternoon or early evening on a wDry day. </p>
      <p id="d2e3936">If we only consider the nocturnal data on a wDry day, then the VOD, tree sway, and ET results are in good agreement (Fig. <xref ref-type="fig" rid="F6"/>).  VOD and tree sway data suggest that the evaporation rate of canopy-intercepted rain is fairly constant (Fig. <xref ref-type="fig" rid="F6"/>c, d), while the ET data tell us that nocturnal ground evaporation was small/negligible and the evaporation of canopy-intercepted rain was fairly constant at around 0.02 mm h<sup>−1</sup> (Fig. <xref ref-type="fig" rid="F6"/>b).</p>
      <p id="d2e3957">For the wDry daytime data, the comparison between VOD and <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with ET is less clear.  The VOD and <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> results imply that the canopy evaporation of intercepted water was nearly linear with time from the early-morning (nocturnal) hours up until the time that the intercepted water was completely (or mostly) evaporated, at around 14:00 MST.  This would mean that the morning sunrise (i.e., increases in <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">net</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, transpiration, and air temperature) had a minimal effect on canopy evaporation.  In contrast, between around 06:00–10:00 MST, 21.5 m <inline-formula><mml:math id="M199" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>ET increased from a value of around 0.02 to around 0.08 mm h<sup>−1</sup> (Fig. <xref ref-type="fig" rid="F6"/>b).  A portion of this increase can be explained by increased ground evaporation starting just after 08:00 MST. However, the increase in 21.5 m <inline-formula><mml:math id="M201" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>ET between 06:00 and 08:00 MST is inconsistent with the VOD/tree sway measurements, which suggest the canopy evaporation was fairly constant during that period. One possible explanation for the increase in <inline-formula><mml:math id="M202" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>ET between 06:00 and 08:00 MST is that transpiration between dDry and wDry days is not the same.  However, previous work at the US-NR1 site has suggested that transpiration is similar on dDry and wDry days <xref ref-type="bibr" rid="bib1.bibx19" id="paren.93"/> and tree-to-tree variability from the 2007 sap flow data of <xref ref-type="bibr" rid="bib1.bibx55" id="text.94"/> was small (Fig. S11b–d).</p>
      <p id="d2e4035">Overall, our ET-based canopy evaporation estimates of 0.02 to 0.08 mm h<sup>−1</sup> are on the lower side compared to other studies' canopy evaporation rates, which typically range between 0.03 and 0.45 mm h<sup>−1</sup> (Table <xref ref-type="table" rid="T2"/>).  The ratio of midday canopy evaporation to total ET on a wDry day seems reasonable (i.e., <inline-formula><mml:math id="M205" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula> ET<sup>−1</sup> <inline-formula><mml:math id="M207" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 0.2).  Furthermore, previous studies have suggested that canopy evaporation measurements tend to overestimate modeling results (e.g., <xref ref-type="bibr" rid="bib1.bibx120" id="altparen.95"/>).</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e4097">Examples of the range of canopy evaporation values sampled by other studies within evergreen forests. For a similar list of canopy evaporation rates from other studies see Table 2 in <xref ref-type="bibr" rid="bib1.bibx64" id="text.96"/> and Table II in <xref ref-type="bibr" rid="bib1.bibx79" id="text.97"/>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Study/reference</oasis:entry>
         <oasis:entry colname="col2">Forest type</oasis:entry>
         <oasis:entry colname="col3">Study methodology</oasis:entry>
         <oasis:entry colname="col4">Canopy</oasis:entry>
         <oasis:entry colname="col5">Additional</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">evaporation</oasis:entry>
         <oasis:entry colname="col5">comments</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">[mm h<sup>−1</sup>]</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx106" id="text.99"/>
                  </oasis:entry>
         <oasis:entry colname="col2">Corsican pine</oasis:entry>
         <oasis:entry colname="col3">Estimated/measured</oasis:entry>
         <oasis:entry colname="col4">0.03–0.24</oasis:entry>
         <oasis:entry colname="col5">A</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx97" id="text.100"/>
                  </oasis:entry>
         <oasis:entry colname="col2">Evergreen mixed</oasis:entry>
         <oasis:entry colname="col3">Rain gauges (regression)</oasis:entry>
         <oasis:entry colname="col4">0.37</oasis:entry>
         <oasis:entry colname="col5">B</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx77" id="text.101"/>
                  </oasis:entry>
         <oasis:entry colname="col2">Douglas fir</oasis:entry>
         <oasis:entry colname="col3">Modeling</oasis:entry>
         <oasis:entry colname="col4">0.03–0.45</oasis:entry>
         <oasis:entry colname="col5">C</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx46" id="text.102"/>
                  </oasis:entry>
         <oasis:entry colname="col2">Norway spruce, Scots pine</oasis:entry>
         <oasis:entry colname="col3">Eddy covariance</oasis:entry>
         <oasis:entry colname="col4">0.05–0.1</oasis:entry>
         <oasis:entry colname="col5">D</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx119" id="text.103"/>
                  </oasis:entry>
         <oasis:entry colname="col2">Sitka spruce</oasis:entry>
         <oasis:entry colname="col3">From the residual from energy balance</oasis:entry>
         <oasis:entry colname="col4">0.12–0.2</oasis:entry>
         <oasis:entry colname="col5">E</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e4106">A: range of canopy evaporation was from four individual storms using Penman–Monteith and a water balance equation. B: found similar evaporation rates for daytime and nighttime. C: the range of canopy evaporation rates listed is from 20 individual storms in Table I of <xref ref-type="bibr" rid="bib1.bibx77" id="text.98"/>. D: the values of 0.05 and 0.1 mm h<sup>−1</sup> are during wet periods when transpiration was assumed to be zero. For other periods maximum ET for this forest was on the order of 0.6 mm h<sup>−1</sup>. E: measured sensible heat flux and net radiation, so evaporation was determined from the energy balance residual. The mean daytime evaporation was 0.174 mm h<sup>−1</sup>, while nighttime was 0.076 mm h<sup>−1</sup>.</p></table-wrap-foot></table-wrap>

      <p id="d2e4356">The lack of a change in VOD and sway frequency during the morning transition is consistent with previous canopy evaporation estimates in evergreen forests (e.g., <xref ref-type="bibr" rid="bib1.bibx97" id="altparen.104"/>) but counter to the general consensus that net radiation plays an important role in evaporation of canopy water (e.g., <xref ref-type="bibr" rid="bib1.bibx63" id="altparen.105"/>).  Our results suggest that turbulent mixing of dry air into the canopy airspace has a primary control on canopy evaporation, whereas the early-morning increases in net radiation and air temperature are of secondary importance.  The US-NR1 site is in sloping terrain (<inline-formula><mml:math id="M213" display="inline"><mml:mo lspace="0mm">≈</mml:mo></mml:math></inline-formula> 6 % slope) that is subject to nocturnal drainage flows, which provides a mechanism/energy for turbulent mixing (and horizontal advection) to occur.  If the turbulence within the canopy is controlling canopy water evaporation, one would expect it to be approximately constant from early morning to past sunrise.  Previous studies have shown that above-canopy friction velocity <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> typically increases from a nocturnal value of around 0.4 to over 0.6 m s<sup>−1</sup> at midday <xref ref-type="bibr" rid="bib1.bibx19" id="paren.106"/>. We found that subcanopy local <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at 5.7 m on a wDry day was fairly constant through the morning transition period with a slight increase at midday (Fig. <xref ref-type="fig" rid="F7"/>).  In addition, between 00:00 and 08:00 MST, 5.7 m <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> on a wDry day is elevated over that of a dDry day (Fig. <xref ref-type="fig" rid="F7"/>c).  This topic goes beyond the goals of the current study but suggests that turbulence within the canopy could be playing a primary role in the evaporation of canopy-intercepted rainwater.</p>

      <fig id="F7"><label>Figure 7</label><caption><p id="d2e4441">The mean warm-season composite diel cycle of <bold>(a)</bold> net radiation <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">net</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(b)</bold> local friction velocity <inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at 21.5, 5.7, and 2.5 m (see legend), and <bold>(c)</bold> only showing subcanopy <inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.  The lines with solid circles are the diel cycle in wDry conditions, whereas the red lines are the corresponding diel cycle in dDry conditions. These results are from the years 2004–2022, where <inline-formula><mml:math id="M221" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> is the number of wDry days, shown in the upper-right corner.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/22/5741/2025/bg-22-5741-2025-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Comparison with CLM4.5 </title>
      <p id="d2e4522">As one would expect, CLM Canopy H2O increases for the dWet and wWet precipitation states depending on the value of the <italic>maximum leaf wetted fraction</italic> <inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mi mathvariant="normal">wet</mml:mi><mml:mo>max⁡</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F8"/>c). Furthermore, the B0 and G1 cases (<inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mi mathvariant="normal">wet</mml:mi><mml:mo>max⁡</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M224" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.02) retain more water within the canopy than the A1 and F2 cases (<inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mi mathvariant="normal">wet</mml:mi><mml:mo>max⁡</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M226" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1; see Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/> for details about each case), which is reflected in the differences in CLM4.5 ET between cases (Fig. <xref ref-type="fig" rid="F8"/>b). Also note that on a wWet day, there is a sharp decrease in CLM Canopy H2O following sunrise on a wWet day, which is similar to what we observed with the tower wetness sensor (Figs. <xref ref-type="fig" rid="F3"/>d and S9c).</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e4592">The warm-season mean composite diel cycle for dDry, dWet, wWet, and wDry conditions of <bold>(a)</bold> observed and CLM4.5 net radiation <inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">net</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(b)</bold> observed and CLM4.5 evapotranspiration (ET), <bold>(c)</bold> CLM4.5 canopy water content, and <bold>(d)</bold> precipitation. In panels <bold>(b)</bold> and <bold>(c)</bold> the CLM4.5 A1, B0, F2, and G1 cases are shown (see legend in panel <bold>b</bold> as well as Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/> for case details). These results are from the years 1999–2003 and 2006–2014 and use the same periods as <xref ref-type="bibr" rid="bib1.bibx20" id="text.107"/>. The number of days (<inline-formula><mml:math id="M228" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>) used for each diel cycle is shown in panel <bold>(a)</bold>.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/22/5741/2025/bg-22-5741-2025-f08.png"/>

        </fig>

      <p id="d2e4650">If we focus on the wDry conditions, canopy H<sub>2</sub>O shows a distinct decrease in the intercepted canopy water content between 06:00 and 11:00 MST (Fig. <xref ref-type="fig" rid="F6"/>e), where the A1 and F2 cases (<inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mi mathvariant="normal">wet</mml:mi><mml:mo>max⁡</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M231" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1) had rapid drying between 06:00 and 08:00 MST and the B0 and G1 cases (<inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mi mathvariant="normal">wet</mml:mi><mml:mo>max⁡</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M233" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.02) between 06:00 and 11:00 MST.  It appears that in the B0 and G1 cases, a small amount of water is retained by the canopy in the wDry afternoon and evening (the reason for this behavior is unknown).  Relevant to our study, the important result is that all four cases show that CLM4.5 canopy evaporation increased at sunrise, which is inconsistent with the VOD and tree sway frequency results.  In fact, the CLM Canopy H2O behavior at sunrise is strikingly similar to that of the wetness sensor (Fig. <xref ref-type="fig" rid="F6"/>d). This suggests that both the CLM4.5 model and the wetness sensor do not properly represent the water-holding capacity of an evergreen forest (as discussed in Sect. <xref ref-type="sec" rid="Ch1.S3.SS2"/>).  If the nearly linear change in intercepted water content found with the VOD and tree sway observations is also found in other ecosystem types, this could be an area to improve CLM.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e4712">The 2 d time series of the 17 wDry days from the warm season of 2022 and 2023 for <bold>(a)</bold> detrended tree sway frequency <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(b)</bold> vegetation optical depth (VOD), and <bold>(c)</bold> precipitation. The time series of 30 min samples are centered on the start of the wDry day and include the time series from the wet day that precedes the wDry day. The color of each line is shown by year and day of year (DOY) of the wDry day to the right of the panels.  The periods from 2022 are shown as dashed lines. The time series with the minimum and maximum wet day total precipitation are in bold and highlighted by the text as “(Min)” and “(Max)” in the right-hand list (see Table <xref ref-type="table" rid="T3"/> for details). In panels <bold>(a)</bold> and <bold>(b)</bold>, the composite wDry diel cycle from Fig. <xref ref-type="fig" rid="F6"/> is shown by the black line with filled circles.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/22/5741/2025/bg-22-5741-2025-f09.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Variations in VOD and tree sway</title>
      <p id="d2e4761">Up to this point, we have focused on the composite mean results from our measurements (i.e., Fig. <xref ref-type="fig" rid="F6"/>). The variability of tree sway frequency and VOD is also an important consideration, and Table <xref ref-type="table" rid="T3"/> lists the precipitation amounts and timing for each of the 17 wDry days. Figure <xref ref-type="fig" rid="F9"/> shows each of the 17 wDry day time series of VOD and sway frequency.  Here, we observe that (i) VOD has more rapid temporal variations than sway frequency, (ii) case-by-case variability in VOD and sway frequency during the drier conditions is smaller than during wet conditions (this is shown quantitatively in Fig. S10c, d), (iii) rainfall occurred on wDry days but is less than our 3 mm (d)<sup>−1</sup> criterion, and (iv) rainfall occurred at all times of day during wWet and dWet days (Table <xref ref-type="table" rid="T3"/>).  By highlighting the wet days with the highest and lowest precipitation with bold lines in Fig. <xref ref-type="fig" rid="F9"/>, it is clear that the largest wet-day precipitation amount (red bold line) induces a significant change to VOD and <inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, whereas the lowest precipitation amount (olive dashed line) results in a rather small change to VOD and <inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e4809">We considered how the timing of the rainfall affected our results by shifting the precipitation periods so they align at the end of the wWet or dWet day (Fig. <xref ref-type="fig" rid="F10"/>).  The maximum shift to the time series was 9.5 h, but most were less than 4 h (Table <xref ref-type="table" rid="T3"/>). For wet days with multiple precipitation events, the final precipitation event of the day was used to align the time series. The choice of aligning the time series to the end of the wet days was arbitrary but useful for comparison purposes.  In Fig. <xref ref-type="fig" rid="F10"/>a and b, the mean composite value of <inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and VOD is shown as a light blue line (with filled circles) in the “Post-precip” period, which can be compared with the black line that is the composite of VOD and tree sway from Fig. <xref ref-type="fig" rid="F9"/>.  While the line from the shifted data is slightly smoother, the trends that we observed in the change of slope in VOD and sway frequency at around 14:00 MST are similar.</p>

<table-wrap id="T3"><label>Table 3</label><caption><p id="d2e4834">Information about each of the 17 wDry periods analyzed in our study. The columns are the wDry year and day of year (DOY), the daily precipitation amount on the preceding wet day and the wDry day, the time the precipitation started/stopped on the wet day, and the number of hours needed to shift the time series to align the ends of the precipitation events.  The two precipitation amounts shown in bold are the minimum and maximum values used in Figs. <xref ref-type="fig" rid="F9"/> and <xref ref-type="fig" rid="F10"/>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="center" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:colspec colnum="7" colname="col7" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Year</oasis:entry>
         <oasis:entry colname="col2">wDry</oasis:entry>
         <oasis:entry namest="col3" nameend="col4" align="center" colsep="1">Daily </oasis:entry>
         <oasis:entry namest="col5" nameend="col6">Precipitation </oasis:entry>
         <oasis:entry colname="col7">Time</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">DOY</oasis:entry>
         <oasis:entry rowsep="1" namest="col3" nameend="col4" align="center" colsep="1">precipitation </oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col6">times </oasis:entry>
         <oasis:entry colname="col7">shift [h]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">wWet/dWet</oasis:entry>
         <oasis:entry colname="col4">wDry</oasis:entry>
         <oasis:entry colname="col5">Start</oasis:entry>
         <oasis:entry colname="col6">End</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">[mm]</oasis:entry>
         <oasis:entry colname="col4">[mm]</oasis:entry>
         <oasis:entry colname="col5">[MST]</oasis:entry>
         <oasis:entry colname="col6">[MST]</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">2022</oasis:entry>
         <oasis:entry colname="col2">229</oasis:entry>
         <oasis:entry colname="col3">8.50</oasis:entry>
         <oasis:entry colname="col4">0.00</oasis:entry>
         <oasis:entry colname="col5">06:30</oasis:entry>
         <oasis:entry colname="col6">15:30</oasis:entry>
         <oasis:entry colname="col7">8.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">234</oasis:entry>
         <oasis:entry colname="col3">10.90</oasis:entry>
         <oasis:entry colname="col4">0.00</oasis:entry>
         <oasis:entry colname="col5">10:00</oasis:entry>
         <oasis:entry colname="col6">19:00</oasis:entry>
         <oasis:entry colname="col7">5.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">239</oasis:entry>
         <oasis:entry colname="col3">4.10</oasis:entry>
         <oasis:entry colname="col4">0.00</oasis:entry>
         <oasis:entry colname="col5">14:30</oasis:entry>
         <oasis:entry colname="col6">19:30</oasis:entry>
         <oasis:entry colname="col7">4.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">254</oasis:entry>
         <oasis:entry colname="col3">4.53</oasis:entry>
         <oasis:entry colname="col4">0.00</oasis:entry>
         <oasis:entry colname="col5">00:00</oasis:entry>
         <oasis:entry colname="col6">19:30</oasis:entry>
         <oasis:entry colname="col7">4.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">265</oasis:entry>
         <oasis:entry colname="col3">7.70</oasis:entry>
         <oasis:entry colname="col4">0.37</oasis:entry>
         <oasis:entry colname="col5">10:30</oasis:entry>
         <oasis:entry colname="col6">24:00</oasis:entry>
         <oasis:entry colname="col7">0.0</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">275</oasis:entry>
         <oasis:entry colname="col3"><bold>3.40</bold></oasis:entry>
         <oasis:entry colname="col4">0.00</oasis:entry>
         <oasis:entry colname="col5">12:00</oasis:entry>
         <oasis:entry colname="col6">15:30</oasis:entry>
         <oasis:entry colname="col7">8.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2023</oasis:entry>
         <oasis:entry colname="col2">139</oasis:entry>
         <oasis:entry colname="col3">8.90</oasis:entry>
         <oasis:entry colname="col4">0.30</oasis:entry>
         <oasis:entry colname="col5">08:00</oasis:entry>
         <oasis:entry colname="col6">21:30</oasis:entry>
         <oasis:entry colname="col7">2.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">141</oasis:entry>
         <oasis:entry colname="col3">4.40</oasis:entry>
         <oasis:entry colname="col4">0.00</oasis:entry>
         <oasis:entry colname="col5">13:00</oasis:entry>
         <oasis:entry colname="col6">16:30</oasis:entry>
         <oasis:entry colname="col7">7.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">147</oasis:entry>
         <oasis:entry colname="col3">7.80</oasis:entry>
         <oasis:entry colname="col4">0.30</oasis:entry>
         <oasis:entry colname="col5">09:30</oasis:entry>
         <oasis:entry colname="col6">21:30</oasis:entry>
         <oasis:entry colname="col7">2.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">159</oasis:entry>
         <oasis:entry colname="col3"><bold>29.00</bold></oasis:entry>
         <oasis:entry colname="col4">0.00</oasis:entry>
         <oasis:entry colname="col5">12:00</oasis:entry>
         <oasis:entry colname="col6">22:30</oasis:entry>
         <oasis:entry colname="col7">1.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">164</oasis:entry>
         <oasis:entry colname="col3">3.60</oasis:entry>
         <oasis:entry colname="col4">0.90</oasis:entry>
         <oasis:entry colname="col5">01:30</oasis:entry>
         <oasis:entry colname="col6">14:30</oasis:entry>
         <oasis:entry colname="col7">9.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">168</oasis:entry>
         <oasis:entry colname="col3">7.20</oasis:entry>
         <oasis:entry colname="col4">2.70</oasis:entry>
         <oasis:entry colname="col5">14:00</oasis:entry>
         <oasis:entry colname="col6">22:30</oasis:entry>
         <oasis:entry colname="col7">1.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">187</oasis:entry>
         <oasis:entry colname="col3">15.13</oasis:entry>
         <oasis:entry colname="col4">1.40</oasis:entry>
         <oasis:entry colname="col5">00:00</oasis:entry>
         <oasis:entry colname="col6">22:30</oasis:entry>
         <oasis:entry colname="col7">1.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">189</oasis:entry>
         <oasis:entry colname="col3">3.80</oasis:entry>
         <oasis:entry colname="col4">0.40</oasis:entry>
         <oasis:entry colname="col5">15:30</oasis:entry>
         <oasis:entry colname="col6">24:00</oasis:entry>
         <oasis:entry colname="col7">0.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">202</oasis:entry>
         <oasis:entry colname="col3">16.10</oasis:entry>
         <oasis:entry colname="col4">1.80</oasis:entry>
         <oasis:entry colname="col5">00:00</oasis:entry>
         <oasis:entry colname="col6">22:00</oasis:entry>
         <oasis:entry colname="col7">2.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">214</oasis:entry>
         <oasis:entry colname="col3">13.25</oasis:entry>
         <oasis:entry colname="col4">1.97</oasis:entry>
         <oasis:entry colname="col5">00:00</oasis:entry>
         <oasis:entry colname="col6">24:00</oasis:entry>
         <oasis:entry colname="col7">0.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">219</oasis:entry>
         <oasis:entry colname="col3">3.70</oasis:entry>
         <oasis:entry colname="col4">0.60</oasis:entry>
         <oasis:entry colname="col5">12:00</oasis:entry>
         <oasis:entry colname="col6">22:30</oasis:entry>
         <oasis:entry colname="col7">1.5</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e5361">As an attempt to determine the key variables driving the changes in VOD and <inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, we created scatter plots for VOD (Fig. <xref ref-type="fig" rid="F11"/>) and <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F12"/>, where we have multiplied <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> by <inline-formula><mml:math id="M242" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1 to make the pattern similar to that of VOD).  First, we confirmed that the fit of VOD versus <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> shown in Fig. <xref ref-type="fig" rid="F4"/> was robust over all 30 min data (Fig. <xref ref-type="fig" rid="F11"/>a).  Because of the close relationship between VOD and <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, the scatter plots in Figs. <xref ref-type="fig" rid="F11"/> and <xref ref-type="fig" rid="F12"/> show similar patterns, and descriptions with either VOD or <inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are interchangeable.  We note the following: (i) though there is a lot of scatter, the largest rainfall amounts occurred during low-wind periods (i.e., 21.5 m WS <inline-formula><mml:math id="M246" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 3 m s<sup>−1</sup>, see Fig. <xref ref-type="fig" rid="F12"/>a), (ii) as one would expect, there was a tendency for higher VOD values (smaller <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) with larger precipitation amounts (Figs. <xref ref-type="fig" rid="F11"/>b, <xref ref-type="fig" rid="F12"/>b), and (iii) drier air (i.e., larger VPD) led to smaller VOD (larger <inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) values (Figs. <xref ref-type="fig" rid="F11"/>c, <xref ref-type="fig" rid="F12"/>c).  The relationship between VOD and horizontal wind speed and friction velocity <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was less clear (Fig. <xref ref-type="fig" rid="F11"/>d, e, f), but there was a slight tendency for lower <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to result in higher values of VOD; this relationship is confounded by the tendency for higher precipitation to occur at lower wind speeds (Fig. <xref ref-type="fig" rid="F12"/>a). The lack of a relationship between <inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and wind speed is especially apparent at moderate to higher WS values in Fig. <xref ref-type="fig" rid="F12"/>d (e.g., 21.5 m WS <inline-formula><mml:math id="M253" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 2.5 m s<sup>−1</sup>) and consistent with the mechanical theory discussed in Sect. <xref ref-type="sec" rid="Ch1.S2.SS2.SSS2"/> and shown in Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>).  This supports our interpretation that variations in the <inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> time series are primarily influenced by canopy interception and subsequent evaporation.  Finally, it should be noted that some of the short-term variability in VOD is inherent to the uneven and constantly varying distribution of satellites and orbits through the canopy. This noise is only partially addressed by the data-processing algorithms.</p>

      <fig id="F10" specific-use="star"><label>Figure 10</label><caption><p id="d2e5594">As in Fig. <xref ref-type="fig" rid="F9"/>, but with time shifted so the elapsed time is from the end of the precipitation event. In the Post-Precip side of the plot, the green line with open circles is the composite mean of the individual shifted time series (see legend), while the line with filled black circles are the mean values versus time of day as shown in Fig. 9a and b.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/22/5741/2025/bg-22-5741-2025-f10.png"/>

        </fig>

      <fig id="F11" specific-use="star"><label>Figure 11</label><caption><p id="d2e5607">Scatter plots between vegetation optical depth (VOD) and <bold>(a)</bold> detrended tree sway frequency <inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(b)</bold> the total precipitation amount from the wet day preceding the wDry day, <bold>(c)</bold> vapor pressure deficit (VPD), <bold>(d)</bold> above-canopy mean horizontal wind speed (WS), <bold>(e)</bold> above-canopy friction velocity <inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <bold>(f)</bold> subcanopy <inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The solid black points are the 30 min mean values from the entire warm-season period of our study, and the red points are the mean values calculated between 4 and 8 h after precipitation ended (see Fig. <xref ref-type="fig" rid="F10"/>). In panel <bold>(a)</bold>, the green line is the linear fit from Fig. <xref ref-type="fig" rid="F4"/>. In <bold>(f)</bold>, data with <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi>z</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.35</mml:mn></mml:mrow></mml:math></inline-formula> m s<sup>−1</sup> are not shown to highlight the lower <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> results (this removes around 1% of the data in <bold>(f)</bold>).  Also, that there are fewer subcanopy <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> points because of missing data due to precipitation effects on the sonic anemometer.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/22/5741/2025/bg-22-5741-2025-f11.png"/>

        </fig>

      <fig id="F12" specific-use="star"><label>Figure 12</label><caption><p id="d2e5769">Similar to Fig. <xref ref-type="fig" rid="F11"/>, but using detrended tree sway frequency <inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> rather than VOD (we multiplied <inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> by <inline-formula><mml:math id="M265" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1 to create patterns consistent with VOD shown in Fig. <xref ref-type="fig" rid="F11"/>). In panel <bold>(a)</bold>, the relationship between above-canopy mean horizontal wind speed (WS) and total precipitation amount from the wet day preceding the wDry day is shown. The solid black points are the 30 min mean values from the warm-season periods for the years 2016 to 2023, and the red points are the mean values calculated between 4 and 8 h after precipitation ended. See Fig. <xref ref-type="fig" rid="F11"/> for additional details.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/22/5741/2025/bg-22-5741-2025-f12.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS6">
  <label>3.6</label><title>Final thoughts </title>
      <p id="d2e5825">We found that the timing of evaporation of canopy-intercepted rainwater in a subalpine forest was consistently measured by two very different techniques, GNSS-based VOD and accelerometer-based tree sway frequency.  Neither technique directly measures evaporation, but both use proxy variables that are affected by the amount of liquid water within the canopy.  It is encouraging to see good agreement between these techniques, especially considering that tree sway measurements were from a single tree, whereas the VOD footprint area was around 2000 to 3000 m<sup>2</sup>. In contrast, eddy covariance ET measures the amount of vertically transported water vapor, but it is subject to theoretical and practical challenges, especially in the subcanopy (e.g., <xref ref-type="bibr" rid="bib1.bibx127" id="altparen.108"/>).  A few of these challenges are (i) separating the total water vapor (ET) flux into the component fluxes of transpiration and canopy/ground evaporation, (ii) decoupling between the true surface flux and the flux measured by the eddy covariance sensor (e.g., <xref ref-type="bibr" rid="bib1.bibx116" id="altparen.109"/>), (iii) taking into account non-steady flow and horizontal water vapor transport (which could be taking place below our 2.5 m subcanopy sensor), (iv) eddy covariance instruments not working properly during active rainfall, and (v) footprint issues that are difficult to evaluate. Most of these concerns do not affect the VOD and tree sway measurements, which make them appealing to combine with eddy covariance ET.</p>
      <p id="d2e5843">We end this section with a few limitations to our study and recommendations for future studies: <list list-type="order"><list-item>
      <p id="d2e5848">The VOD results are based on only 17 wDry days, while the ET results are based on 176 wDry days.  So, there are significant statistical differences (and time periods covered) between these two data sets.  If we had a multiyear record of VOD data that matched ET, then we could better examine other effects on the canopy evaporation, such as the dryness of the air or the rainfall amounts and intensity.</p></list-item><list-item>
      <p id="d2e5852">We did not explicitly consider water flowing down the stems of the trees in our study. In general, this is a small term in the forest water balance (e.g., <xref ref-type="bibr" rid="bib1.bibx27" id="altparen.110"/>). Nor did we consider fog/dew as a source of intercepted water.</p></list-item><list-item>
      <p id="d2e5859">It would be useful to have a leaf wetness sensor that mimics the actual water-holding capacity of the needles in an evergreen tree (and place them at different heights within the canopy airspace). There has been recent progress in creating more realistic needle-like structures (e.g., <xref ref-type="bibr" rid="bib1.bibx125 bib1.bibx71" id="altparen.111"/>); to the best of our knowledge such sensors have yet to be deployed in real-world/field conditions.</p></list-item><list-item>
      <p id="d2e5866">The evaporation rate in a forest has large spatial variability. For example, the upper canopy typically dries out much faster than the middle and lower canopy due to higher exposure to radiation and wind. We could not consider such fine-scale features in our study.</p></list-item><list-item>
      <p id="d2e5870">Tree sway motion was measured with a single accelerometer connected to a single tree.  Without too much additional effort, the number of accelerometer sensors could be scaled up to sample more trees (e.g., <xref ref-type="bibr" rid="bib1.bibx45" id="altparen.112"/>). The tree sway technique also requires a minimal wind speed value to initiate tree motion. Video can also be used to simultaneously measure tree sway frequency from many trees within a forest (e.g., <xref ref-type="bibr" rid="bib1.bibx2" id="altparen.113"/>).</p></list-item><list-item>
      <p id="d2e5880">Our study used a single pair of GNSS receivers; it would be relatively easy to deploy additional GNSS ground receivers to get a better idea of VOD spatial variability. Perhaps having one receiver located mid-canopy could separate out the upper- and lower-canopy interception amounts.</p></list-item><list-item>
      <p id="d2e5884">Our results are specific for coniferous forests, which are more efficient at retaining tree surface water than deciduous trees (e.g., <xref ref-type="bibr" rid="bib1.bibx128 bib1.bibx99" id="altparen.114"/>); canopy evaporation from other forest types (such as broadleaf forests) could behave quite differently (e.g., <xref ref-type="bibr" rid="bib1.bibx70" id="altparen.115"/>).</p></list-item><list-item>
      <p id="d2e5894">If the VOD and tree sway data can be accurately related to the amount of liquid water within a forest canopy, such information could improve land surface models (e.g., <xref ref-type="bibr" rid="bib1.bibx74" id="altparen.116"/>) and help validate satellite-based canopy evaporation measurements (e.g., <xref ref-type="bibr" rid="bib1.bibx114 bib1.bibx103" id="altparen.117"/>).</p></list-item></list></p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d2e5913">We used the 2022/2023 warm-season observations from the Niwot Ridge Forest US-NR1 AmeriFlux site to examine how vegetation optical depth (VOD) (measured with a pair of GNSS receivers) and tree sway frequency (measured with a three-axis accelerometer) behaved on a day following rain (a “wDry” day).  Based on 17 wDry days, VOD and tree sway frequency correlated very well with each other and showed a nearly linear change with time from the start of a wDry day until around 14:00 local standard time (Fig. <xref ref-type="fig" rid="F6"/>). We postulate that the near-linear change with time was due to a steady rate of intercepted rainwater evaporation from the forest canopy. Over this 14 h period, there was a substantial mean decrease in VOD from about 0.55 to 0.42 (Fig. <xref ref-type="fig" rid="F6"/>d).  After 14:00 LST, the rate of change of VOD and tree sway (versus time) decreased by around a factor of 5, suggesting that the evaporation of canopy-intercepted rainwater was complete (or greatly diminished). The variation in VOD and sway frequency between the 17 different wDry days was large (Fig. <xref ref-type="fig" rid="F9"/>), which we attributed to differing precipitation amounts, mean wind speed and turbulence, and atmospheric humidity conditions.  While both VOD and tree sway were strongly affected by liquid water on the vegetation <italic>surfaces</italic>, only tree sway seemed to be affected by transpiration-depleted internal tree water on the afternoon of a dry day.  How internal and external water affect VOD has been discussed (without conclusion) by <xref ref-type="bibr" rid="bib1.bibx53" id="text.118"/>.  Our results suggest that satellite-based VOD measurements during wet periods should be interpreted with caution because, for our particular site, surface water on vegetation dominated the VOD signal compared to internal changes in tree water content.  This is especially true when other changes, such as forest biomass differences or freeze/thaw transitions, are minimal.</p>
      <p id="d2e5928">As an independent, quantitative check, above-canopy and subcanopy eddy covariance evapotranspiration (ET) measurements were compared with the VOD and tree sway results.  To the best of our knowledge, this is the first time VOD, tree sway, and eddy covariance measurements have been used together at a single site. Similar to VOD and tree sway, the ET measurements showed the cessation of canopy evaporation in the late afternoon following a wet day. The ET results suggest that the evaporation rate of canopy-intercepted rainwater from the US-NR1 subalpine forest was on the order of 0.02 mm h<sup>−1</sup> at night and 0.08 mm h<sup>−1</sup> at midday. This canopy evaporation rate is on the low side compared with observations from other studies (Table <xref ref-type="table" rid="T2"/>), but there are several challenges with the eddy covariance ET observations which are discussed in Sect. <xref ref-type="sec" rid="Ch1.S3.SS6"/>. During the morning transition, the VOD and tree sway measurements both suggest that increased net radiation (at sunrise) had a small effect on the rate of canopy evaporation; however, the ET results showed an increase in canopy evaporation by over a factor of 3 during the sunrise period (Fig. <xref ref-type="fig" rid="F6"/>). Friction velocity measurements within the canopy layer suggest that turbulence could be a more important variable than net radiation in controlling the canopy evaporation (Fig. <xref ref-type="fig" rid="F7"/>).</p>
      <p id="d2e5964">For the modeling component in our study, we found that the Community Land Model (CLM4.5) canopy surface water content increased appropriately as rain fell (Fig. <xref ref-type="fig" rid="F8"/>). However, our results suggest that evaporation of the CLM canopy surface water content during a wDry day mimicked the evaporation from a flat-plate wetness sensor near the canopy top.  Both the flat-plate sensor and CLM4.5 surface water content showed a rapid drying of the canopy following sunrise, presumably due to increased net radiation. As noted above, the VOD and tree sway measurements were <italic>insensitive</italic> to changes in net radiation at sunrise; we suspect that the lack of sensitivity of VOD and tree sway to net radiation is due to the ability of the clumped needles within the US-NR1 subalpine forest to retain water droplets (relative to a flat-plate wetness sensor).  We suggest that future studies of canopy evaporation focus attention on the sunrise period to determine if there are clear signals of increased canopy evaporation during this critical time of day.</p>
      <p id="d2e5972">Overall, we conclude that VOD from a pair of GNSS receivers and tree sway are both capable of measuring warm-season canopy interception (as well as the canopy rainwater retention time following rainfall).  The VOD footprint is around 95 % smaller and qualitatively different than the ET flux footprint, which depends on wind direction and atmospheric conditions.  The analysis techniques we have presented herein could be applied to other forest ecosystems and used to inform and improve big-leaf-type land surface models, such as CLM, as well as multi-layer canopy models, which are becoming more prevalent within the scientific community (e.g., <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx62" id="altparen.119"/>).</p>
</sec>

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

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Additional measurement information</title>
<sec id="App1.Ch1.S1.SS1">
  <label>A1</label><title>Water vapor flux/evapotranspiration</title>
      <p id="d2e5996">Ecosystem eddy covariance flux measurements at the US-NR1 site started in fall of 1998 (e.g., <xref ref-type="bibr" rid="bib1.bibx85 bib1.bibx19" id="altparen.120"/>).  Here we focus on the eddy covariance instrumentation used in 2022–2023 (i.e., during the period of VOD data collection).  The sensible heat and CO<sub>2</sub> flux measurements categorized by the precipitation state have been presented in earlier studies (e.g., <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx20" id="altparen.121"/>).  As a departure from these earlier studies, the latent heat flux measurements are represented with units of water vapor flux or ET [mm of H<sub>2</sub>O h<sup>−1</sup>], though our plots also include the energy units [W m<sup>−2</sup>] to ease comparison with previous work.  In our study, “evapotranspiration” includes transpiration from trees as well as the evaporation of liquid water from the canopy surfaces and the ground <xref ref-type="bibr" rid="bib1.bibx81" id="paren.122"/>.</p>
      <p id="d2e6051">The primary above-canopy water vapor flux instrument was a closed-path infrared gas analyzer (IRGA) (LI-COR, model LI-7200) at 21.5 m height, co-located with a Campbell Scientific CSAT3 sonic anemometer (Table <xref ref-type="table" rid="T1"/>).  In the subcanopy, water vapor fluctuations were measured at 2.5 m height with an open-path IRGA (LI-COR, model LI-7500A) and co-located CSAT3 on a 6 m subcanopy flux tower about 15 m south/southwest of the 25 m tower.  The eddy covariance fluxes were calculated using standard methods (e.g., <xref ref-type="bibr" rid="bib1.bibx4" id="altparen.123"/>).  An open-path IRGA has the so-called Burba or self-heating correction <xref ref-type="bibr" rid="bib1.bibx15 bib1.bibx38" id="paren.124"/>; however, for latent heat flux this is a factor of 100 smaller than for CO<sub>2</sub> flux and is only significant if the latent heat flux is accumulated over a long period <xref ref-type="bibr" rid="bib1.bibx104" id="paren.125"/>.  Therefore, we did not apply any self-heating correction to subcanopy ET in our study.</p>
      <p id="d2e6074">Precipitation disrupts the eddy covariance flux measurements when liquid water accumulates on open-path IRGA optical lenses and sonic transducers (Sect. <xref ref-type="sec" rid="Ch1.S2.SS4"/>).  This is especially challenging for open-path IRGAs, such as the one located in the subcanopy.  Rather than attempting to gap-fill these missing data, we have excluded them from our study.  These missing data due to precipitation primarily occurred during the dWet and wWet days, not the wDry and dDry days, which are the focus of our study.</p>
</sec>
<sec id="App1.Ch1.S1.SS2">
  <label>A2</label><title>Turbulence</title>
      <p id="d2e6087">In order to evaluate turbulence at different heights within the canopy, we calculated a <italic>local</italic> friction velocity as <inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M275" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>u</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msubsup><mml:mo>)</mml:mo><mml:mi>z</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>v</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msubsup><mml:mo>)</mml:mo><mml:mi>z</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">0.25</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> where <inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:msup><mml:mi>u</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:msup><mml:mi>v</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> are the planar-fit wind fluctuations in the streamwise, crosswind, and vertical directions, respectively. Above-canopy (21.5 m) <inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is close to the true friction velocity <inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> value (which, theoretically, is constant above the canopy).</p>
</sec>
<sec id="App1.Ch1.S1.SS3">
  <label>A3</label><title>Net radiation</title>
      <p id="d2e6250">Above-canopy net radiation <inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">net</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was measured at 25 m height on the US-NR1 main tower with a four-component radiometer (Kipp and Zonen, model CNR1).  The radiation data are primarily used to show when clouds were present as well as how the radiation conditions on wDry days compare to those on dDry days.</p>
</sec>
<sec id="App1.Ch1.S1.SS4">
  <label>A4</label><title>Surface wetness</title>
      <p id="d2e6272">The Campbell Scientific model 237 leaf wetness sensor <xref ref-type="bibr" rid="bib1.bibx25" id="paren.126"/> is a horizontally oriented resistive grid that measures the presence of liquid water.  It is described as a “leaf wetness” sensor, as has been previously reported (e.g., <xref ref-type="bibr" rid="bib1.bibx19" id="altparen.127"/>).  However, a flat, hard plastic plate does not replicate the energy balance in clumped conifer needles or the ability of those wet needles to resist evaporation; after examining the data in our study (Sect. <xref ref-type="sec" rid="Ch1.S3.SS2"/>) and re-reading the caveats within the sensor manual, we have concluded that “surface wetness” (or simply “wetness”) is a more appropriate sensor description.  The inability to mimic clumped needles is further exacerbated by the 13.5 m location of the sensor on the main tower, near the upper part of the forest canopy.  The output from the sensor has been normalized so that a value of zero corresponds to dry conditions, while a value of 1 corresponds to completely wet conditions.  Values between 0 and 1 correspond to “slightly wet” conditions.</p>
</sec>
<sec id="App1.Ch1.S1.SS5">
  <label>A5</label><title>Tree water content</title>
      <p id="d2e6292">In the summer of 2017, GS3 water content sensors <xref ref-type="bibr" rid="bib1.bibx33 bib1.bibx80" id="paren.128"/> were installed at breast height into five different tree boles (two pine, two spruce, and one fir tree) at the US-NR1 site.  These five trees are located about 20–30 m southeast of the main tower (Fig. <xref ref-type="fig" rid="F1"/>).  Holes were drilled in a vertical pattern to allow the three sensor needles to snugly fit into the trunk, and then the entire sensor was sealed in place using silicone sealant.</p>
      <p id="d2e6300">The GS3 sensor uses a 70 MHz oscillating wave (sensed by the probe needles) to measure the dielectric permittivity of the material surrounding the sensor.  The GS3 sensor is designed to measure water content in a variety of materials; though they are primarily used in soils <xref ref-type="bibr" rid="bib1.bibx52" id="paren.129"/>, they can be adapted to work in soilless media such as manure <xref ref-type="bibr" rid="bib1.bibx115" id="paren.130"/> or to monitor the internal water content of living trees <xref ref-type="bibr" rid="bib1.bibx50" id="paren.131"/>.  The GS3 probe outputs three variables: temperature [°C], electrical conductivity [dS m<sup>−1</sup>], and apparent dielectric permittivity <inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (dimensionless).  The range of <inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is between 1 (for air) and 80 (for water).  Dielectric permittivity is a measure of how well a material can hold an electrical charge and depends on the wave frequency; liquid water has a high value of <inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> because of the polar nature of water molecules <xref ref-type="bibr" rid="bib1.bibx5" id="paren.132"/>.  For a 70 MHz signal, the value of <inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of ice is around 3, whereas that of liquid water is closer to 80 <xref ref-type="bibr" rid="bib1.bibx37" id="paren.133"/>. An example of decreased <inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> due to frozen water within the tree bole is shown in Fig. <xref ref-type="fig" rid="F2"/>d (at around DOY 298).</p>
      <p id="d2e6389">From the GS3 sensor, apparent dielectric permittivity can be related to volumetric water content (VWC) of the media the GS3 is within by the following expression:

            <disp-formula id="App1.Ch1.S1.E4" content-type="numbered"><label>A1</label><mml:math id="M289" display="block"><mml:mrow><mml:mtext>VWC</mml:mtext><mml:mo>=</mml:mo><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>A</mml:mi><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">0.5</mml:mn></mml:msup><mml:mo>-</mml:mo><mml:mi>B</mml:mi></mml:mrow></mml:mfenced><mml:mi>C</mml:mi></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M290" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M291" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math id="M292" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula> are empirical constants that depend on the media type.  However, we did not calibrate our GS3 sensors for the boles they were inserted into. For our particular purpose, it is only important that changes in VWC are proportionally related to changes in <inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; therefore, we only consider relative differences in <inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> over the diel cycle (or with precipitation state).</p>
      <p id="d2e6469">Of the five GS3 sensors deployed at US-NR1, the one in the fir tree did not work and will not be used.  The other four sensors showed occasional sharp jumps in the dielectric permittivity.  Examples of the warm-season time series for the years 2018–2022 are shown in Figs. S14–S18.  Some conclusions from these time series are as follows: (i) the jumps only occurred during the warm season; (ii) when one sensor jumped, most of the other ones did too (but not always in the same direction); and (iii) the occurrence of the jumps has been more frequent in recent years (and we have not used the 2023 data because correcting the jumps was too difficult). Though we could not determine the exact cause/reason for the jumps, we deemed them to be nonphysical in nature and likely related to lightning or changes to the power supply.  Because we are interested in short-term changes in <inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> due to precipitation, we removed the jumps as shown in the lower panels of Figs. S14–S18 prior to the diel cycle analysis.  For the purposes of our study the tree water content shows a maximum in the early morning and a minimum in the afternoon (Fig. S8c).  This result is consistent with other studies in subalpine forests <xref ref-type="bibr" rid="bib1.bibx90" id="paren.134"/> and is caused by transpiration reducing internally stored water within the tree tissue <xref ref-type="bibr" rid="bib1.bibx68" id="paren.135"/>.</p>
</sec>
<sec id="App1.Ch1.S1.SS6">
  <label>A6</label><title>Lidar</title>
      <p id="d2e6497">Airborne scanning lidar measurements were collected in 2010 with an Optech Gemini Airborne Laser Terrain Mapper deployed on a Piper Chieftan flying at 600 m above the surface over the entire Boulder Creek watershed <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx13" id="paren.136"/>.  By taking the difference between the ground elevation surface and the lidar cloud data, the trees and gaps in the forest near the US-NR1 main tower can be observed <xref ref-type="bibr" rid="bib1.bibx16" id="paren.137"/>. The <inline-formula><mml:math id="M296" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M297" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axes in Fig. <xref ref-type="fig" rid="F1"/> are distances from the US-NR1 main tower; the method of <xref ref-type="bibr" rid="bib1.bibx72" id="text.138"/> has been used to identify trees locations where a cluster of trees taller than 12 m just to the south of the gnssB location can be seen.</p>
</sec>
</app>

<app id="App1.Ch1.S2">
  <label>Appendix B</label><title>Footprint of VOD and water vapor fluxes</title>
      <p id="d2e6535">The VOD footprint calculation follows <xref ref-type="bibr" rid="bib1.bibx57" id="text.139"/>, where the footprint radius <inline-formula><mml:math id="M298" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> was calculated with

          <disp-formula id="App1.Ch1.S2.E5" content-type="numbered"><label>B1</label><mml:math id="M299" display="block"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>h</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">gnssB</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi>tan⁡</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">el</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e6583">If we assume a canopy height of <inline-formula><mml:math id="M300" display="inline"><mml:mi>h</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M301" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 13 m, <inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">gnssB</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M303" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.27 m, and an elevation angle cut-off <inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">el</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M305" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 10°, the resulting footprint has <inline-formula><mml:math id="M306" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M307" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 66 m.  This footprint would include trees far from gnssB where only the very top of the tree contributes to the VOD measurement (a nearly negligible contribution). A more realistic footprint is found by considering where at least half of the tree is contributing the VOD calculation, which is

          <disp-formula id="App1.Ch1.S2.E6" content-type="numbered"><label>B2</label><mml:math id="M308" display="block"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">gnssB</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi>tan⁡</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">el</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e6690">Now, we get a value of <inline-formula><mml:math id="M309" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M310" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 30 m, which is shown as the outer circle in Fig. <xref ref-type="fig" rid="F1"/>. If we closely compare the tree locations shown in Fig. <xref ref-type="fig" rid="F1"/> with the sky plot for the VOD calculation (Fig. S3), we can see that several tall trees southwest of gnssB are making a large contribution to the VOD; we show this in Fig. <xref ref-type="fig" rid="F1"/> as a footprint with <inline-formula><mml:math id="M311" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M312" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 20 m where we have removed part of the footprint to the north of gnssB due to the paucity of GNSS orbits in the northern sky.  This second line is also to emphasize that the VOD footprint is not a fixed location within the forest but depends on individual tree heights and the distance from the gnssB antenna. Overall, we estimate the VOD footprint at US-NR1 to be around 2000 to 3000 m<sup>2</sup>. The schematic in Fig. S4 provides a picture of how the footprint varies with elevation angle and tree height from the gnssB antenna. As part of the paper discussion (i.e., <xref ref-type="bibr" rid="bib1.bibx21" id="altparen.140"/>), we confirmed that using <inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">el</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M315" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 30° did not significantly affect the resulting VOD.</p>
      <p id="d2e6758">In contrast, the above-canopy eddy covariance fluxes measured at US-NR1 have a flux footprint climatology of around 50 000 m<sup>2</sup>, depending on the wind direction and atmospheric stability (e.g., <xref ref-type="bibr" rid="bib1.bibx28" id="altparen.141"/>).  A more explicit view of the US-NR1 flux footprint climatology was calculated using the <xref ref-type="bibr" rid="bib1.bibx65" id="text.142"/> model for five different atmospheric stability conditions for winds from the west (Fig. S12) and for winds from the east (Fig. S13).  The footprint analysis is separated into east and west wind directions because winds at the site are typically either upslope (from east) or downslope (from west) <xref ref-type="bibr" rid="bib1.bibx17" id="paren.143"/>. For comparison purposes, we include the <inline-formula><mml:math id="M317" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M318" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 30 m VOD footprint from Fig. <xref ref-type="fig" rid="F1"/> in Figs. S12 and S13, and the legend in each figure lists the frequency of occurrence for each stability condition.  For downslope winds with strongly stable conditions, the flux footprint size triples and is on the order of 140 000 m<sup>2</sup> (Fig. S12).</p>
</app>
  </app-group><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d2e6810">Data used in the study are available at <ext-link xlink:href="https://doi.org/10.15485/2574352" ext-link-type="DOI">10.15485/2574352</ext-link> <xref ref-type="bibr" rid="bib1.bibx22" id="paren.144"/>. Raw tree sway frequency data are available at <ext-link xlink:href="https://doi.org/10.5281/zenodo.5149307" ext-link-type="DOI">10.5281/zenodo.5149307</ext-link> (Raleigh, 2021). Data-processing software to calculate GNSS-based VOD and tree sway frequency data are available at <uri>https://github.com/vincenthumphrey/gnssvod</uri> (last access: 14 August 2025, Humphrey, 2025) and <uri>https://github.com/truewind/accelerometer_tree_sway/</uri> (last access: 14 August 2025, Raleigh, 2025), respectively.  Web links to these resources are provided in the Assets tab on the paper website.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e6828">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/bg-22-5741-2025-supplement" xlink:title="pdf">https://doi.org/10.5194/bg-22-5741-2025-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e6837">SPB and PDB conceived the VOD portion of the project after seeing a presentation by VH about GNSS-based VOD.  SPB and PDB obtained the GNSS hardware from UNAVCO and collected the GNSS data. VH processed the GNSS data and calculated VOD. MSR and EDG provided tree sway motion hardware and set up the tree sway measurements. MSR processed the tree sway motion data. DRB provided GS3 sensors and set up the tree bole water content measurements.  All authors contributed to writing, discussing, and editing the manuscript text.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e6843">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="d2e6849">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. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e6855">We thank Kristine Larson (emeritus, University of Colorado) for advice in the early stages of our study and the EarthScope Consortium (formerly, UNAVCO) for providing the GNSS hardware; Jim Normandeau was especially responsive to our requests.  We also gratefully acknowledge the organizers of the 2021 AmeriFlux Evapotranspiration Workshop (Koong Yi, Kyle Delwiche, Jacob Nelson, and Trevor Keenan) without which this work would not have occurred.  Infrastructure support for power and network to US-NR1 was provided by the CU Mountain Research Station, managed by Scott Taylor (CU Boulder).  We appreciate the comments from four anonymous reviewers that greatly improved the paper. This material is based upon work supported by the NSF National Center for Atmospheric Research, which is a major facility sponsored by the U.S. National Science Foundation under Cooperative Agreement No. 1852977.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e6860">The US-NR1 AmeriFlux site has been supported as a core site by the US DOE, Office of Science through the AmeriFlux Management Project (AMP) at Lawrence Berkeley National Laboratory under award number 7094866.  Publication fees for this article were partially funded by the University of Colorado Boulder Libraries Open Access Fund.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e6866">This paper was edited by Andrew Feldman and reviewed by four anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

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