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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"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <front>
    <journal-meta><journal-id journal-id-type="publisher">AMT</journal-id><journal-title-group>
    <journal-title>Atmospheric Measurement Techniques</journal-title>
    <abbrev-journal-title abbrev-type="publisher">AMT</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Meas. Tech.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1867-8548</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/amt-11-6075-2018</article-id><title-group><article-title>Dried, closed-path eddy covariance method for measuring <?xmltex \hack{\break}?> carbon dioxide flux over sea ice</article-title><alt-title>Method for measuring <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux over sea ice</alt-title>
      </title-group><?xmltex \runningtitle{Method for measuring {$\chem{CO_{{2}}}$} flux over sea ice}?><?xmltex \runningauthor{B.~J.~Butterworth and B.~G.~T.~Else}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Butterworth</surname><given-names>Brian J.</given-names></name>
          <email>brian.butterworth@ucalgary.ca</email>
        <ext-link>https://orcid.org/0000-0002-8457-5308</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Else</surname><given-names>Brent G. T.</given-names></name>
          
        </contrib>
        <aff id="aff1"><institution>Department of Geography, University of Calgary, Calgary, T2N 1N4, Canada</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Brian J. Butterworth (brian.butterworth@ucalgary.ca)</corresp></author-notes><pub-date><day>9</day><month>November</month><year>2018</year></pub-date>
      
      <volume>11</volume>
      <issue>11</issue>
      <fpage>6075</fpage><lpage>6090</lpage>
      <history>
        <date date-type="received"><day>12</day><month>May</month><year>2018</year></date>
           <date date-type="rev-request"><day>31</day><month>July</month><year>2018</year></date>
           <date date-type="rev-recd"><day>17</day><month>October</month><year>2018</year></date>
           <date date-type="accepted"><day>30</day><month>October</month><year>2018</year></date>
      </history>
      <permissions>
        
        
      <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://amt.copernicus.org/articles/11/6075/2018/amt-11-6075-2018.html">This article is available from https://amt.copernicus.org/articles/11/6075/2018/amt-11-6075-2018.html</self-uri><self-uri xlink:href="https://amt.copernicus.org/articles/11/6075/2018/amt-11-6075-2018.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/11/6075/2018/amt-11-6075-2018.pdf</self-uri>
      <abstract>
    <p id="d1e99">The Arctic marine environment plays an important role in
the global carbon cycle. However, there remain large uncertainties in how
sea ice affects air–sea fluxes of carbon dioxide (<inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), partially due
to disagreement between the two main methods (enclosure and eddy covariance)
for measuring <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux (<inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>). The enclosure method has appeared
to produce more credible <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> than eddy covariance (EC), but is not
suited for collecting long-term, ecosystem-scale flux datasets in such
remote regions. Here we describe the design and performance of an EC system
to measure <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> over landfast sea ice that addresses the shortcomings
of previous EC systems. The system was installed on a 10 m tower on
Qikirtaarjuk Island – a small rock outcrop in Dease Strait located roughly
35 km west of Cambridge Bay, Nunavut, in the Canadian Arctic Archipelago. The
system incorporates recent developments in the field of air–sea gas
exchange by measuring atmospheric <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> using a closed-path infrared gas
analyzer (IRGA) with a dried sample airstream, thus avoiding the known water
vapor issues associated with using open-path IRGAs in low-flux environments.
A description of the methods and the results from 4 months of continuous
flux measurements from May through August 2017 are presented, highlighting
the winter to summer transition from ice cover to open water. We show that
the dried, closed-path EC system greatly reduces the magnitude of measured
<inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> compared to simultaneous open-path EC measurements, and for the
first time reconciles EC and enclosure flux measurements over sea ice. This
novel EC installation is capable of operating year-round on solar and wind
power, and therefore promises to deliver new insights into the magnitude of
<inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes and their driving processes through the annual sea ice
cycle.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e218">The global marine system plays a major role in regulating atmospheric
<inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, currently absorbing roughly 2 PgC from the atmosphere each year,
or roughly a quarter of anthropogenic <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions (Takahashi et al.,
2009; Wanninkhof et al., 2013; Sitch et al., 2015). Sea ice, which covers up
to 11.8 % of the global ocean's surface, has important implications for
the global carbon cycle (Weeks, 2010).</p>
      <p id="d1e243">Sea ice does not have the same physical properties as freshwater ice (Gosink
et al., 1976). It is porous, with brine channels exchanging salt and gases
between the atmosphere and the water below. Compared to terrestrial
environments <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes over sea ice are small. However, there are many
different types of sea ice and a large degree of uncertainty remains in the
physical processes controlling gas exchange in these regions (Miller et al.,
2015). The vast size of the sea ice ecosystem means that even small exchange
rates may produce important fluxes on the global scale, and therefore
improved measurement techniques and increased data collection/coverage are
essential to better characterize the baseline <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> exchange for sea ice
regions. Such developments are also necessary for predicting how Arctic
carbon budgets will change as the current trend towards thinner, younger ice
cover and reduced sea ice extent continues (Kwok, 2007; Maslanik et al.,
2007; Comiso et al., 2017).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p id="d1e271">Eddy covariance (open-path IRGAs) and enclosure measurements of
<inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (mmol m<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> d<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) over landfast sea ice.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Study</oasis:entry>
         <oasis:entry rowsep="1" namest="col3" nameend="col4" align="center">Range </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Low</oasis:entry>
         <oasis:entry colname="col4">High</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Eddy covariance</oasis:entry>
         <oasis:entry colname="col2">Semiletov et al. (2004)</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">38.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Zemmelink et al. (2006)<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Semiletov et al. (2007)</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Else et al. (2011)<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">20</oasis:entry>
         <oasis:entry colname="col4">36</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Miller et al. (2011)<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">60.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">70.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Papakyriakou and Miller (2011)<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">259.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">86.4</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Sievers et al. (2015)</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">110</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">295</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Enclosure</oasis:entry>
         <oasis:entry colname="col2">Delille (2006)</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Nomura et al. (2010)</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Sejr et al. (2011)</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">1.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Geilfus et al. (2012)</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.65</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">2.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Nomura et al. (2013)</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Geilfus et al. (2014)</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Delille et al. (2014)</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">1.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Geilfus et al. (2015)</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Sievers et al. (2015)</oasis:entry>
         <oasis:entry colname="col3">0.9</oasis:entry>
         <oasis:entry colname="col4">2.2</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e314"><inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula> Results were reported as a range of daily averages (5 h average in
the case of Papakyriakou and Miller, 2011). Full measurement ranges are
necessarily larger, though unreported.</p></table-wrap-foot></table-wrap>

      <p id="d1e765">Over the last several decades the two main approaches for measuring
<inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> over sea ice have been the enclosure method and the eddy
covariance (EC) method. The enclosure method works by measuring the change
in gas concentration over time within a chamber placed on the sea ice
(Miller et al., 2015). The main shortcoming with this method is that it
alters the environment which is being measured (e.g., affecting temperature,
radiation, pressure gradients, wind speed and turbulence, and
atmosphere–surface <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration<?pagebreak page6076?> differences). Proper technique can
minimize these artifacts, but even under the best conditions it is expected
that they will cause some underestimation of <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (Miller et al.,
2015). Additionally, the measurements are spatially and temporally limited.
Measurements are confined to the region enclosed by the chamber (centimeter scale),
making it challenging to accurately measure fluxes over whole ecosystems
(meter to kilometer scale), which typically contain heterogeneity on scales larger than
the footprint of the chamber. Additionally, long-term measurements are not
feasible for enclosures due to the fact that they alter the underlying
environment and the degree of manual intervention they require.</p>
      <p id="d1e812">The EC technique works by measuring vertical wind speed and gas
concentration at high frequencies. The covariance between fluctuations in
vertical wind and fluctuations in the gas concentration, averaged over a
period of time, represents a direct measurement of flux. Unlike the enclosure
method, it does not alter the environment in which it measures and is
practical for gathering long-term continuous measurements of flux over a
spatial scale that encompasses the natural heterogeneity of sea ice.</p>
      <p id="d1e815">The enclosure and EC methods have not shown good agreement over sea ice,
for which flux magnitudes measured by EC systems have been consistently higher
than those measured by enclosures (Table 1). Over landfast sea ice the
enclosure method produces fluxes on the order of <inline-formula><mml:math id="M42" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.4 to 2.2 mmol m<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> d<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
(Delille, 2006; Nomura et al., 2010, 2013; Sejr et al., 2011;
Geilfus et al., 2012, 2014, 2015; Delille et al., 2014; Sievers et al.,
2015), while EC often measures <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> uptake and effluxes of several
hundred mmol m<inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> d<inline-formula><mml:math id="M47" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Miller et al., 2011; Papakyriakou and
Miller, 2011; Sievers et al., 2015). Fluxes of this magnitude are
suspiciously high. They compare in magnitude with terrestrial fluxes (Christensen et al.,
2000; Lafleur et al., 2003; Sullivan et al., 2008) and fluxes over
open-ocean algal blooms (Yang et al., 2016a).</p>
      <p id="d1e890">The most likely explanation for the large discrepancy between methods is a
failure of the open-path infrared gas analyzer (IRGA) used in the EC systems. Overestimation of
<inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> by open-path EC in the low-flux marine environment has been
documented as far back as Broecker et al. (1986), and has since been
confirmed (Miller et al., 2010; Blomquist et al., 2014; Landwehr et al.,
2014). Closed-path eddy covariance systems may reduce measured <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
magnitude (e.g., Sievers et al., 2015 measured a mean <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.73</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> mmol m<inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> d<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> over landfast sea ice), but have been shown
to be affected by the same problems as the open-path IRGAs (Blomquist et
al., 2014; Landwehr et al., 2014; Butterworth and Miller, 2016b). An
improved technique was developed by Miller et al. (2010) which used a
closed-path IRGA and dried sample airstream. This system addressed the
problems with previous EC systems by eliminating fluctuations in all
variables (pressure, temperature, and <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) associated with the density
correction (Webb et al., 1980). Subsequent studies have confirmed the
effectiveness of this approach for measuring air–sea fluxes (Blomquist et
al., 2014; Landwehr et al., 2014; Butterworth and Miller, 2016b; Bell et
al., 2017).</p>
      <?pagebreak page6077?><p id="d1e991">Cavity ring-down spectroscopy (CRDS) may be suitable for measuring <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
over landfast sea ice, though it has yet to be field tested. Open water
results have confirmed flux detection limits for dried Picarro instruments
(G1301-f; G2311-f) to be in the range needed for measuring over landfast sea
ice (Blomquist et al., 2014; Yang et al., 2016b). The Los Gatos Research
FGGA on the other hand (in which drying is less feasible) has flux detection
limits that may not be suitable for measuring at the low flux magnitudes
expected over landfast sea ice (Yang et al., 2016b), though Prytherch et al. (2017),
using an undried FGGA, measured <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> in the Arctic marginal ice
zone that agreed with previous results (Butterworth and Miller, 2016a).
Because CRDS systems are expensive and have significant power demands,
systems based on closed-path IRGAs are currently more practical for making
continuous flux measurements in Arctic environments.</p>
      <p id="d1e1026">For this study, we applied the dried, closed-path IRGA design to measure
<inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> from a permanent tower over sea ice in the Canadian Arctic. This
is the first EC system of this kind to measure <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> over landfast sea
ice. The benefits of a fixed tower are that it avoids the motion
contamination and flow distortion associated with ship-based EC.
Additionally, it is capable of collecting a long-term continuous flux
dataset in one area, thus enhancing our ability to address process-level
questions. Here we will present 4 months of flux data from the spring and
summer season (May to September 2017) as the region transitioned from full
ice cover to open water and describe the performance of the system. Our
primary goal in this paper is to describe the design and performance of the
system, while subsequent articles will more fully explore the insights
gained about <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> exchange in the sea ice environment.</p>
</sec>
<sec id="Ch1.S2">
  <title>Methods</title>
<sec id="Ch1.S2.SS1">
  <title>Site description</title>
      <p id="d1e1083">An eddy covariance system to measure fluxes of momentum, sensible heat,
latent heat, and <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was installed on a 10 m tower located on the
northwest side of Qikirtaarjuk Island, a low-lying island (<inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mn mathvariant="normal">500</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula> m) in Dease Strait, roughly 35 km west of Cambridge Bay, Nunavut (Fig. 1).
Qikirtaarjuk Island is the southernmost island in a chain that extends
across Dease Strait, creating active tidal straits that produce polynyas in
the fall and early spring (Fig. 1). Except for the islands north of the
tower, the closest being Unihitak Island 3.5 km away, the tower has
unimpeded fetch on the order or 50 km from large-angled swaths to the east
and west. This ensures that much of the flux footprint represents only water
and not a mix of water and land.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p id="d1e1111">Map <bold>(a)</bold> showing the location of Qikirtaarjuk Island, 35 km west
of Cambridge Bay, Nunavut. Satellite image <bold>(b)</bold> of Qikirtaarjuk Island
(28 June 2017), showing polynya development in the tidal straits. Landsat-8
image courtesy of the U.S. Geological Survey.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/6075/2018/amt-11-6075-2018-f01.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <title>Instrument setup</title>
      <p id="d1e1132">The tower was configured with an array of instruments (Fig. 2) to measure
mean meteorological variables (logged as 1 min averages on a Campbell
Scientific CR1000 data logger) and high-frequency flux variables (10 Hz;
CR3000 data logger). Mean wind speed and direction were measured using a 2-D
propeller vane anemometer (RM Young; Marine Wind Monitor) mounted at 7.8 m
above ground level (a.g.l.). Three temperature and relative humidity probes
(Campbell Scientific HMP45C) were mounted at 9.6 m, 5 m, and 2.2 m a.g.l. A
net radiometer (Kipp &amp; Zonen; CNR4) was mounted 2.8 m a.g.l.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p id="d1e1137">Photograph of the tower <bold>(a)</bold> and the flux instruments mounted at
the top of the tower <bold>(b)</bold>.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/6075/2018/amt-11-6075-2018-f02.jpg"/>

        </fig>

<sec id="Ch1.S2.SS2.SSS1">
  <title>Wind vector</title>
      <?pagebreak page6078?><p id="d1e1157">Measurements of momentum and sensible heat fluxes were obtained using a 3-D
ultrasonic anemometer (CSAT3; Campbell Scientific) mounted at 9.5 m a.g.l.,
oriented northwest (330<inline-formula><mml:math id="M62" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>), and roughly 15 m from the water's
edge. The ground level at the tower base was roughly 3 m above mean sea
level (a.s.l.), making the measurement height 12.5 m a.s.l. However,
3-D wind measurements show that the streamlines are
directionally dependent and bend upward/downward in proportion to the island
incline (a maximum of 6<inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> from head-on winds). Therefore, wind and
flux measurements were considered representative of 9.5 m a.s.l. (similar to
vertical displacement seen in ship-based measurements; Yelland et al.,
2002). For each 20 min flux interval a double rotation was applied on
the wind vector to put it into a mean streamline coordinate system in which the
<inline-formula><mml:math id="M64" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis was parallel to the mean wind (<inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mover accent="true"><mml:mi>v</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:mover accent="true"><mml:mi>w</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) (Kaimal and
Finnigan, 1994).</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <?xmltex \opttitle{{$\protect\chem{H_{{2}}O}$} {\&} {$\protect\chem{CO_{{2}}}$}}?><title><inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> &amp; <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></title>
      <p id="d1e1236">Water vapor and <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations used to calculate fluxes were
measured by three IRGAs. Two were open-path designs (EC150, Campbell
Scientific and LI-7500, LI-COR) and one was a closed-path design (LI-7200RS,
LI-COR, referred to herein as LI-7200). The EC150 was attached to the CSAT3
anemometer, making its measurements collocated with the wind vector
measurements. The LI-7500 was mounted 30 cm aft, 18 cm starboard, and at the
same height as the CSAT3. Mixing ratios for the IRGAs were calculated from
molar density, pressure, and temperature using the WPL correction (Webb et
al., 1980). This was even done for the LI-7200 (using <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">7200</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">IN</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">OUT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
as suggested by LI-COR) because it was deemed
more reliable than the LI-7200's on-the-fly calculation of mixing ratio,
which inexplicably produced <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> with large contributions from low
frequencies.</p>
      <p id="d1e1297">Unlike the open-path IRGAs, the LI-7200 required a pump to pull air through
its cell. As pumps significantly increase power requirements, this has been
one of the barriers to closed-path IRGAs being used in remote Arctic EC
towers. The sample air for the LI-7200 was drawn from an inlet 5 cm aft of
the CSAT3 sampling volume. Ideally, flow through the LI-7200 should be fast
enough to fully flush its cell every sample (9.7 standard liters per minute
(slpm) for 10 Hz sampling). However, the maximum flow rate that could
consistently be achieved by our 12V DC diaphragm pump (UN814KNDC, KNF) was 7 slpm.
To ensure that flow remained constant, a mass flow controller
(MCRW-10SLPM-D-DB9/5M, Alicat) was installed immediately upstream of the
pump. It was expected that this flow rate should cause a minor loss of
signal at the high-frequency end of the spectrum (evaluated below).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p id="d1e1302">Mean tube delay obtained from 574 inlet tests. Blue circles show
the state of the solenoid valve (0 <inline-formula><mml:math id="M71" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> closed; 1 <inline-formula><mml:math id="M72" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> opened) responsible for
releasing compressed <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> directly in front of the sample tube inlet to
the closed-path IRGA. The red triangles represent the decay in the <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
mixing ratio from its pre-test steady state (1) to its settled value during
the test (0).</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/6075/2018/amt-11-6075-2018-f03.png"/>

          </fig>

      <p id="d1e1348">The mounting configuration of the LI-7200 was chosen to minimize signal
attenuation by tubing. The diameter of the tubing upstream of the LI-7200
was minimized (3.5 mm I.D.) to increase the Reynolds number (<italic>Re</italic>). With 7 slpm
flow <italic>Re</italic> in the sample line was 2800, in the transitional zone between laminar
(<italic>Re</italic> &lt; 2100) and turbulent (<italic>Re</italic> &gt; 4000). To mitigate the signal
smoothing that could occur with nonturbulent flow, the LI-7200 was mounted
near the top of the tower, reducing upstream tube length to 2.8 m.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p id="d1e1365">Sea ice concentration from the AMSR2 SIC product and the mean
daily average from satellite and in situ images.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/6075/2018/amt-11-6075-2018-f04.png"/>

          </fig>

      <p id="d1e1374">To test for tube delay and attenuation of high-frequency signal, inlet tests
with <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-free air were performed regularly. Twice a day at 02:05 and
14:05 LST a normally closed,<?pagebreak page6079?> two-way solenoid valve installed at the base of
the CSAT3 would open and inject nine 10 s pulses of <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> directly in
front of the intake tube to the LI-7200. The mean delay for <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from
574 tests was <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.83</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> s (Fig. 3). The mean time constant (defined
as the time for signal to drop below <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mi>e</mml:mi></mml:mrow></mml:math></inline-formula> strength) was <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.24</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula> s.
This time constant (less than three samples at 10Hz) was low and suggested
minimal attenuation by the tubing. High-frequency loss of <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> was
characterized by estimating the flux lost by the open-path latent heat flux
measurement after applying a low-pass filter to <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratio using
the <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> time constant as a cutoff frequency (Goulden et al., 1996). The
ratio (<inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>G</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) of unfiltered to filtered latent heat flux indicated an
average high-frequency <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> loss of 1.7 %, in line with previous
studies (Ibrom et al., 2007; Butterworth and Miller, 2016b). To account for
this loss, while reducing the variability in <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi>G</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, a linear regression
between <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msub><mml:mi>G</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:msub><mml:mi/><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> was calculated (<inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msub><mml:mi>G</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.002</mml:mn><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:msub><mml:mi/><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.0024</mml:mn></mml:mrow></mml:math></inline-formula>) and used to compute a multiplier for each flux
interval based on the wind speed.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <title>Sea ice</title>
      <p id="d1e1589">Images of sea ice were captured by a camera (Hero4, GoPro) mounted at the
top of the tower. An intervalometer was installed to take a picture once an
hour, indefinitely. These images were to be used to determine sea ice
concentration (SIC) and melt pond fraction. However, the external battery
packs for the camera failed late May 2017, and no images were collected by
the camera until the issue was fixed mid-July 2017. Because of this, we
relied on several other methods for estimating SIC. The AMSR2 passive
microwave SIC product (daily, 3.125 km) by the University of Bremen (Spreen et
al., 2008) was used to provide a picture of the seasonal ice breakup of the
area. The ice concentration from the three grid cells nearest the tower were
averaged. In addition to this product a variety of remotely sensed
(Landsat-8 and MODIS) and in situ images were collected. In situ photographs
were taken during site visits (four helicopter trips in June and July) and
from a motion-sensor-equipped trail camera (installed to identify wildlife
interactions with the installation, e.g., Fig. S1 of the Supplement, but which was frequently
set off by environmental conditions). Comparisons between the AMSR2 SIC
product and photographs confirms that it was generally accurate within the
Dease Strait region (Fig. 4), with the exception that it could not resolve
melt ponds as different from open water. This meant that during the melt
pond season (June) the product underestimated SIC due to the presence of
overlying water. Combining the photographs with the SIC product enabled
estimates of melt pond fraction. Additionally, the AMSR2 product continued
to measure SIC in mid-July, after images revealed full open water in front
of the tower (Fig. 4). This discrepancy was due to the fact the AMSR2
product had a footprint that extended beyond the immediate area in front of
the tower (which turns to open water more quickly than the rest of the
region).</p>
</sec>
<sec id="Ch1.S2.SS2.SSS4">
  <title>Power</title>
      <p id="d1e1598">Power limitations often exert a large influence on experimental design in
Arctic field studies. With a closed-path IRGA and airstream drying, this
study required two pumps and a mass flow controller, and needed roughly 4 times the power required by an open-path system. With no external power to draw
from, all power needed to be generated on site. Three 150W solar panels
(EWS-150P-36, Enerwatt) and one 12V DC wind turbine (AIR Breeze, Primus)
were used to generate power that was stored in a battery bank of five 92AH
AGM batteries. The battery bank was housed in a large Pelican case, and
included charge controllers and circuit breakers for both the solar panels
(30A 12VDC EWC-30, Enerwatt) and turbine (Wind Control Panel, Primus). The
solar panels were arranged in a triangular formation to collect solar
radiation at different times throughout the long summer days. The turbine
was used as supplemental power to enable power generation when solar panels
were not active (night and winter). To conserve power the flux system was
design to shut off the more power-hungry equipment (gas analyzers, mass flow
controller, DC pumps, and sonic anemometer) when voltage in the battery bank
dropped below 11.8 V, and turn them back on again when voltage rose above
12.3 V. The system was fully operational 99.2 % of the time during the
study period. A schematic diagram (Fig. S2) of the power system is included
in the Supplement.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS5">
  <title>Drying</title>
      <p id="d1e1607">Like previous dried airstream systems, our system used a moisture exchanger
(Nafion PD-200T-12MPS, Permapure) to dry the sample air. However, instead of
a using a zero-air generator for purging water vapor from the counterflow
(which would have required AC power and compressed air), a desiccant (Du-Cal
Drierite) was used. Air was pumped (UN814KNDC, KNF) in a closed loop through
a large cylindrical tank containing 50 lbs. of desiccant, to the moisture
exchanger, and back to the tank. The advantage of using a closed loop design
is that the only moisture exposed to the desiccant was that which had passed
through the moisture exchanger membrane. This, along with the large mass of
desiccant, meant that the replacement of desiccant was required only once
every 40–60 days, depending on ambient humidity. The need for desiccant
replacement was determined with a small amount (1 lb.) of Indicating
Drierite (which changes color when exhausted) placed by a glass window on
the tank.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Data processing</title>
      <?pagebreak page6080?><p id="d1e1617">Fluxes of momentum (<inline-formula><mml:math id="M90" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>, N m<inline-formula><mml:math id="M91" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), sensible heat (<inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, W m<inline-formula><mml:math id="M93" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>),
latent heat (<inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, W m<inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>,
mmol m<inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> d<inline-formula><mml:math id="M99" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) were calculated for 20 min intervals as

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M100" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>=</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msqrt><mml:mrow><mml:msup><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:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><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:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msub><mml:mi>c</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>c</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mi>u</mml:mi><mml:mo>,</mml:mo><mml:mi>v</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M102" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula> (m s<inline-formula><mml:math id="M103" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) are the along-wind, cross-wind, and vertical wind
components, respectively, <inline-formula><mml:math id="M104" display="inline"><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> (mol m<inline-formula><mml:math id="M105" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) is the
mean dry air density, <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (J kg<inline-formula><mml:math id="M107" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> K<inline-formula><mml:math id="M108" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) is the specific heat capacity
of air, <inline-formula><mml:math id="M109" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> (K) is the dry air temperature, <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (J kg<inline-formula><mml:math id="M111" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) is the latent heat of
vaporization, <inline-formula><mml:math id="M112" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> (kg kg<inline-formula><mml:math id="M113" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) is the specific humidity, <inline-formula><mml:math id="M114" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula> is the <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing
ratio (<inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), primes indicate fluctuations about the mean,
and the overbar corresponds to the time average. The dry air temperature was
calculated from the sonic temperature after correction for the effect of
water vapor on air density and speed of sound (Schotanus et al., 1983).</p>
      <p id="d1e2121">The mean wind speed from the sonic anemometer was adjusted to neutral
stability at 10 m height using a semilogarithmic wind profile and assuming
a constant flux layer according to
            <disp-formula id="Ch1.E5" content-type="numbered"><mml:math id="M117" display="block"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:msub><mml:mi/><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub><mml:mo>/</mml:mo><mml:mi mathvariant="italic">κ</mml:mi><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">ln</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mo>/</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="italic">ρ</mml:mi><mml:msup><mml:mo>)</mml:mo><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> is the friction velocity (m s<inline-formula><mml:math id="M119" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)
measured by CSAT3, <inline-formula><mml:math id="M120" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula> is the von Karman constant of 0.4,
<inline-formula><mml:math id="M121" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula> is the measurement height, and <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the roughness length (m) calculated as
            <disp-formula id="Ch1.E6" content-type="numbered"><mml:math id="M123" display="block"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mi>z</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">exp</mml:mi><mml:mfenced close="]" open="["><mml:mrow><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="italic">κ</mml:mi><mml:mover accent="true"><mml:mi>U</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mfenced open="(" close=")"><mml:mi>z</mml:mi></mml:mfenced></mml:mrow><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>z</mml:mi><mml:mi>L</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the stability function of Paulson (1970) for
unstable stratification and Grachev et al. (2007) for stable stratification,
both functions of <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mi>z</mml:mi><mml:mo>/</mml:mo><mml:mi>L</mml:mi></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M126" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula> is the measurement height and <inline-formula><mml:math id="M127" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula> is the Obukhov length,
calculated as
            <disp-formula id="Ch1.E7" content-type="numbered"><mml:math id="M128" display="block"><mml:mrow><mml:mi>L</mml:mi><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>T</mml:mi><mml:mrow><mml:mi mathvariant="italic">κ</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>g</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mi>u</mml:mi><mml:mo>∗</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:msubsup></mml:mrow><mml:mrow><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mn mathvariant="normal">0.61</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.61</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>Q</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M129" display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula> is the acceleration due to gravity, <inline-formula><mml:math id="M130" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> is the air temperature, <inline-formula><mml:math id="M131" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> is the specific
humidity, and <inline-formula><mml:math id="M132" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> and <inline-formula><mml:math id="M133" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> are the turbulent
fluxes of temperature and water vapor (Andreas et al., 2010).</p>
      <p id="d1e2482">Quality control criteria were used to select intervals that passed the
underlying assumptions of eddy covariance. First, intervals were selected
that exhibited stationarity, following
            <disp-formula id="Ch1.E8" content-type="numbered"><mml:math id="M134" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">RN</mml:mi><mml:mi mathvariant="normal">cov</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfenced close="|" open="|"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>x</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>-</mml:mo><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>x</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>x</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M135" display="inline"><mml:mover accent="true"><mml:mrow><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>x</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> represents the mean of the four
5 min turbulent flux subintervals and <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>x</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> represents the
turbulent flux of the whole 20 min interval (Blomquist et al., 2014). The
purpose of this criterion is to identify and remove intervals in which large-scale phenomena (e.g., mesoscale motions), outside the frequency range of
turbulent fluxes, are contributing to the measured flux.</p>
      <p id="d1e2635">A second quality control criterion selected for wind directions of
<inline-formula><mml:math id="M137" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>150 to 150<inline-formula><mml:math id="M138" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> (relative to the anemometer) to
eliminate winds from aft that were affected by flow distortion from the
instruments and tower frame. The size and shape of the island (0.2 km wide
and extending 0.5 km behind the tower) meant the remaining wind directions
from the back hemisphere had some degree of island contributing to their
flux footprint. To estimate the impact of the island on the flux
measurements, we ran the flux footprint model of Kljun et al. (2015). Using
the mean meteorological conditions from each 5<inline-formula><mml:math id="M139" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> wind sector it was
found that on average the island accounted for 5 % of the footprint for
wind directions from the front hemisphere (<inline-formula><mml:math id="M140" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>90 to 90<inline-formula><mml:math id="M141" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>).
From the back wind sectors (<inline-formula><mml:math id="M142" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>150 to <inline-formula><mml:math id="M143" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>90<inline-formula><mml:math id="M144" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and
90 to 150<inline-formula><mml:math id="M145" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) 44 % of the flux footprint was
represented by the island. However, because extent of the footprint varied
with meteorological conditions, there were many periods during which these wind
directions saw minimal influence from the island. The island is bare rock,
which means that it should not act as either a source or a sink for
<inline-formula><mml:math id="M146" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. This means that the magnitudes of <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes from these back
sectors are somewhat underestimated, by a factor that most likely scales
with the portion of the footprint that falls on the island. Future work is
planned to collect field data (i.e., coincident upwind <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">w</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> data for
varying wind directions) to determine if a linear scaling factor could be
used to correct flux magnitudes for these wind sectors.</p>
<sec id="Ch1.S2.SS3.SSS1">
  <title>Low-frequency contribution</title>
      <?pagebreak page6081?><p id="d1e2757">One issue that was encountered during flux processing was unexpected low-frequency (between 10<inline-formula><mml:math id="M149" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> to 10<inline-formula><mml:math id="M150" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) contribution to
<inline-formula><mml:math id="M151" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, separated from contributions from the typical frequency range for
turbulent fluxes by a distinct spectral gap (Fig. 5a). The spectral gap
suggests that the low-frequency contributions were the result of
larger scale motions (e.g., advection) and not representative of locally
meaningful fluxes. To remove this from the flux measurements a high-pass
filter (first-order Butterworth filter with cutoff frequency of 0.005 Hz
centered on the trough in the spectral gap) was applied to the <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
mixing ratio prior to calculating <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>. This reduced <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
magnitude by an average of 15.8 % (or 0.6 mmol m<inline-formula><mml:math id="M155" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> d<inline-formula><mml:math id="M156" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; Fig. 5a).
The choice to filter had to balance the need to remove spurious flux
with the possible removal of real flux operating at lower frequencies (Sakai
et al., 2001; Finnigan et al., 2003). To assess the loss of real flux we
applied the same high-pass filter to <inline-formula><mml:math id="M157" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> and calculated <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Filtering
caused an average flux loss of 3.5 %, represented in Fig. 5b as the area
between the unfiltered and filtered <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> cospectra. This real flux loss
is substantially less than that lost by filtering <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, which indicates
that the filtering was appropriate in this instance. Future investigations
into the processes affecting <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (e.g., melt pond fraction, sea ice
concentration) would benefit from a more subjective review of cospectra for
individual flux intervals. Because <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is presented more broadly in
this paper, that level of scrutiny is not warranted here.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p id="d1e2948">Median normalized frequency-weighted cospectra for <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
<bold>(a)</bold>
and <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(b)</bold>. In <bold>(a)</bold> the purple line represents the cospectrum calculated
from the uncorrected LI-7200 <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratio. The green curve
represents the cospectrum calculated from the high-pass-filtered LI-7200
<inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratio. The dashed gray line represents the theoretical
scalar cospectra from Kaimal et al. (1972). In <bold>(b)</bold> the blue curve represents
the cospectrum for <inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> calculated from an unfiltered air temperature
measurement. The red curve represents the cospectrum for <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
calculated from air temperature passed through the same high-pass filter
applied to the <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratio in the <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> calculation (i.e.,
first-order Butterworth filter with 0.005 Hz cutoff). The area below the shaded
region between the two curves represents the median loss of real low-frequency flux due to filtering.</p></caption>
            <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/6075/2018/amt-11-6075-2018-f05.png"/>

          </fig>

<?xmltex \hack{\newpage}?>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results</title>
<sec id="Ch1.S3.SS1">
  <title>Meteorology</title>
      <p id="d1e3084">The period reported in this study ranges from 4 May to 1 September 2017,
encompassing the transition from full ice coverage to fully open water. From
4 May through 25 May the study area was characterized by snow-covered sea
ice. With air temperatures well below 0 <inline-formula><mml:math id="M171" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C,
this period represents winter ice conditions. From 25 May to 25 June melt ponds began to form. Comparing the
AMSR2 SIC product to the in situ photographs (which show no open water)
suggests that the melt ponds during this period ranged from 0 to 50 % of the surface area. Following this period there was an ice
breakup period (25 June to 7 July) which exhibited both ice and open water.
This breakup initially occurred directly in front (north) of the tower,
creating a polynya that was probably caused by tidal currents in the strait
funneled between the islands (Fig. 1). By the end of the breakup period the
area was ice-free for the remainder of the summer season.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p id="d1e3098">Meteorological conditions from May to September 2017 shown as
3 h averages for <bold>(a)</bold> incoming solar radiation (W m<inline-formula><mml:math id="M172" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), <bold>(b)</bold> air
temperature (<inline-formula><mml:math id="M173" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C), <bold>(c)</bold> relative humidity (%), <bold>(d)</bold> atmospheric
pressure (kPa), <bold>(e)</bold> wind speed (m s<inline-formula><mml:math id="M174" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), <bold>(f)</bold> wind direction (<inline-formula><mml:math id="M175" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>),
<bold>(g)</bold> <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratio (ppm), and <bold>(h)</bold> water vapor concentration (ppt).</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/6075/2018/amt-11-6075-2018-f06.png"/>

        </fig>

      <p id="d1e3186">The meteorology of the study area through the study period shows the strong
seasonal shift. The temperature over this period rose from its minimum of
<inline-formula><mml:math id="M177" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>24 <inline-formula><mml:math id="M178" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C on 5 May, to its maximum of 18 <inline-formula><mml:math id="M179" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C on 13 August, with over half of the
time in between being within <inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">5</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> of 0 <inline-formula><mml:math id="M181" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Fig. 6b). Incoming
solar radiation exhibited strong diurnal trends, with over 75 % of days
experiencing peak daytime values greater than 500 W m<inline-formula><mml:math id="M182" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and
nighttime minimum values near zero (Fig. 6a). These oscillations did not
result in large diurnal temperature swings. Due to the low temperatures, the
relative humidity was typically high, with a mean of 86 % (Fig. 6c). Actual
water vapor content of the air was lowest in May, with a mean of 3.3 parts
per thousand (ppt), followed by a mean of 7.7 ppt from June to September
(Fig. 6h). The <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratio was roughly 410 ppm at the start of May
and decreased to 403 ppm by the end of August, indicative of the seasonal
trend that occurs when plant biomass consumes atmospheric <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the
boreal growing season (Fig. 6g). Wind speed was moderate, ranging between 0
and 16.4 m s<inline-formula><mml:math id="M185" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> with a mean of <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.7</mml:mn></mml:mrow></mml:math></inline-formula> m s<inline-formula><mml:math id="M187" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The
winds exhibited no distinct change in magnitude over the course of the
season (Fig. 6e), and were most commonly from the southeast
(105 to 135<inline-formula><mml:math id="M188" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) and the west southwest (235 to 275<inline-formula><mml:math id="M189" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>)
(Figs. 6f, 7). These directions were generally
advantageous due to the large fetch in the east and west directions, the
only caveat being the very small island 1.5 km southeast of the tower.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p id="d1e3329">Wind rose for May to September 2017 shown with 10<inline-formula><mml:math id="M190" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> wind
direction bins. Color represents 10 m neutral wind speed and the size of the
bars indicates the frequency at which they occur.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/6075/2018/amt-11-6075-2018-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <title>Air–sea fluxes</title>
      <p id="d1e3353">Time series of <inline-formula><mml:math id="M191" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> over the course of
this study are shown in Fig. 8. The <inline-formula><mml:math id="M195" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> ranged from 0 to 0.41 N m<inline-formula><mml:math id="M196" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
with a mean of <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.05</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> N m<inline-formula><mml:math id="M198" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Fig. 8a). The range
in <inline-formula><mml:math id="M199" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> was similar through all different surface conditions, being most
strongly influenced by wind speed. The <inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> showed a diurnal trend
(increasing during the day, decreasing<?pagebreak page6082?> at night) throughout much of the
study period. The sea surface type also played a role in mean <inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, with
the flux during full ice cover generally upward, then, during ice breakup
and early summer downward, and in the open water at the end of the summer upward again. <inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> acted similarly to <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, with upward fluxes
early in the season (full ice and melt ponds), transitioning to downward
fluxes during ice breakup, and upward fluxes under full open water
conditions.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p id="d1e3499">The 3 h averages of measured fluxes, following the
meteorological conventions (negative fluxes indicate transport towards the
surface): <bold>(a)</bold> momentum flux (N m<inline-formula><mml:math id="M204" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), <bold>(b)</bold> sensible heat flux
(W m<inline-formula><mml:math id="M205" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), <bold>(c)</bold> latent heat flux (W m<inline-formula><mml:math id="M206" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), and <bold>(d)</bold> <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux (mmol m<inline-formula><mml:math id="M208" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> d<inline-formula><mml:math id="M209" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>),
measured by the closed-path IRGA. Ice concentration from the AMSR2 ice product is shown by color, with red representing full ice cover
and blue representing open water. Demarcations (determined from satellite
and in situ images) of ice regimes (full ice, melt ponds, breakup, and open
water) are shown on top.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/6075/2018/amt-11-6075-2018-f08.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <?xmltex \opttitle{{$\protect\chem{CO_{{2}}}$} flux}?><title><inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux</title>
      <p id="d1e3609"><inline-formula><mml:math id="M211" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> measured by the dried, closed-path system was low during periods
with sea ice cover. During full ice cover <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> hovered around zero, with
a mean of <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.21</mml:mn></mml:mrow></mml:math></inline-formula> mmol m<inline-formula><mml:math id="M214" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> d<inline-formula><mml:math id="M215" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. During melt season
<inline-formula><mml:math id="M216" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> was slightly negative (i.e., downward), with a mean of <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.34</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.04</mml:mn></mml:mrow></mml:math></inline-formula> mmol m<inline-formula><mml:math id="M218" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> d<inline-formula><mml:math id="M219" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. During ice breakup, when the surface
was mixed ice and water, <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> was downward (mean of <inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.9</mml:mn></mml:mrow></mml:math></inline-formula> mmol m<inline-formula><mml:math id="M222" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> d<inline-formula><mml:math id="M223" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). By the full open water period in August, <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
had switched direction and the water was outgassing <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to the
atmosphere (mean of <inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.7</mml:mn></mml:mrow></mml:math></inline-formula> mmol m<inline-formula><mml:math id="M227" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> d<inline-formula><mml:math id="M228" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>).</p>
      <p id="d1e3854"><inline-formula><mml:math id="M229" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values calculated from the different IRGAs are shown in Fig. 9. Both
open-path IRGAs yielded flux values with magnitudes much larger than those
from the dried LI-7200, sometimes orders of magnitude larger. For example,
during full ice conditions, when the dried LI-7200 measured near-zero
<inline-formula><mml:math id="M230" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, the LI-7500 and EC150 had means of <inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">58</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">32</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">103</mml:mn></mml:mrow></mml:math></inline-formula> mmol m<inline-formula><mml:math id="M233" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> d<inline-formula><mml:math id="M234" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p id="d1e3942">The 12 h average <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes calculated using EC150 (green
diamonds), LI-7500 (blue pluses), and dried LI-7200 (red line). Demarcations
(determined from satellite and in situ images) of ice regimes (full ice,
melt ponds, breakup, and open water) are shown on top.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/6075/2018/amt-11-6075-2018-f09.png"/>

        </fig>

      <p id="d1e3963">Because comparisons of <inline-formula><mml:math id="M236" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> from different gas analyzers do not have a
dependent variable, we used Pearson's correlation coefficient (<inline-formula><mml:math id="M237" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>) to
describe the linear correlations between<?pagebreak page6083?> the two variables (Goodrich et al.,
2016). Comparisons of <inline-formula><mml:math id="M238" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> from the closed-path LI-7200 against
<inline-formula><mml:math id="M239" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> from the two open-path IRGAs showed no correlation (Fig. 10a, b),
with <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.15</mml:mn></mml:mrow></mml:math></inline-formula> for the LI-7500 and EC150, respectively. An
orthogonal regression of <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (LI-7500) against <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (EC150)
yielded a fit closer to 1 : 1 (Fig. 10c), but with more scatter and an <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.44</mml:mn></mml:mrow></mml:math></inline-formula>. On the other hand, the regression for <inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (LI-7500) against
<inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (EC150) showed a distinct 1 : 1 relationship (Fig. 10d). The
correlation coefficient for this case was 0.93, thus showing a strong linear
relationship. This suggests that the open-path IRGAs are better suited to
measuring <inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> than <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> in this environment.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><caption><p id="d1e4142">Comparisons of <inline-formula><mml:math id="M249" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from the three IRGAs: panel <bold>(a)</bold>
shows <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (LI-7200) vs. <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
(LI-7500), panel <bold>(b)</bold> shows <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
(LI-7200) vs. <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (EC150), panel <bold>(c)</bold> shows <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
(LI-7500) vs. <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
(EC150), and panel <bold>(d)</bold> shows <inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (LI-7500) vs. <inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (EC150). Because the
sample air to the LI-7200 was dried, comparisons to <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (LI-7200) were
omitted.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/6075/2018/amt-11-6075-2018-f10.png"/>

        </fig>

      <p id="d1e4321"><inline-formula><mml:math id="M260" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values from all three IRGAs were also compared against heat fluxes,
<inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 11). Negative relationships were found between
<inline-formula><mml:math id="M263" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> from the open-path IRGAs and heat fluxes. <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> from the
dried, closed-path IRGA showed no relationship with <inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><caption><p id="d1e4418">Bin averages of the relationships between <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> calculated
from all three IRGAs and <bold>(a)</bold> <inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (LI-7500) and <bold>(b)</bold> <inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/6075/2018/amt-11-6075-2018-f11.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <title>Sea ice flux comparisons</title>
      <p id="d1e4483">During the spring season prior to ice breakup, the dried, closed-path EC
system measured <inline-formula><mml:math id="M270" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.25</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.75</mml:mn></mml:mrow></mml:math></inline-formula> mmol m<inline-formula><mml:math id="M272" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> d<inline-formula><mml:math id="M273" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.
When only considering sea ice conditions prior to melt pond formation,
<inline-formula><mml:math id="M274" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> was <inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.21</mml:mn></mml:mrow></mml:math></inline-formula> mmol m<inline-formula><mml:math id="M276" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> d<inline-formula><mml:math id="M277" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. These
measurements are within the range measured by previous enclosure
measurements, which taken together span from <inline-formula><mml:math id="M278" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.4 to 2.2 mmol m<inline-formula><mml:math id="M279" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> d<inline-formula><mml:math id="M280" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
(Table 1; Delille, 2006; Nomura et al., 2010, 2013; Sejr et al.,
2011; Geilfus et al., 2012, 2014, 2015; Delille et al., 2014; Sievers et
al., 2015). The measurements also exhibit a sharp divergence from previous
open-path EC <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> measurements, which at tens to hundreds of mmol m<inline-formula><mml:math id="M282" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> d<inline-formula><mml:math id="M283" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
are several orders of magnitude larger (Semiletov et al., 2004;
Zemmelink et al., 2006; Else et al., 2011; Miller et al., 2011; Papakyriakou
and Miller, 2011). Unlike the dried, closed-path system, our open-path
systems installed at our site did measure <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> with similar magnitudes
to these previous open-path EC studies, with mean values of <inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">58</mml:mn></mml:mrow></mml:math></inline-formula>
(LI-7500) and <inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">32</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">103</mml:mn></mml:mrow></mml:math></inline-formula> (EC150) mmol m<inline-formula><mml:math id="M287" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> d<inline-formula><mml:math id="M288" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>
      <p id="d1e4736">This disagreement between simultaneous open-path and dried, closed-path systems at
our site suggests that the reason for discrepancies between previous chamber
and open-path EC measurements was not the result of different scales of
measurement, but was rather problems with the ability of open-path EC to resolve
fluxes. This is further demonstrated by the poor agreement between the two
open-path <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> results (Fig. 10c).</p>
</sec>
<sec id="Ch1.S4.SS2">
  <title>Heat fluxes</title>
      <p id="d1e4761">Previous undried EC studies over the open ocean have found relationships
between heat fluxes (<inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)
and <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (Landwehr et al.,
2014; Sievers et al., 2015). However, in these instances the magnitude of
measured <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> at high latent heat fluxes exceeds values calculated from
bulk <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> formula. In their comparison of dried and undried closed-path
EC systems, Landwehr et al. (2014) concluded that such relationships
represented bias, and did not result from real physical phenomena. They also
found that the degree of bias was different for each individual IRGA
instrument. While our OP IRGAs found a relationship between heat fluxes and
<inline-formula><mml:math id="M295" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> our dried, closed-path system did not (Fig. 11). This supports the
finding that these relationships represent bias, further evidence that
open-path IRGAs do not fully remove the effects of <inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in
the density correction and/or the instruments' built-in water vapor
corrections.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <title>EC150</title>
      <p id="d1e4879">To the best of our knowledge, this study is the first published test of the EC150
against the LI7500 in a marine environment. The two instruments produced
similar <inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 10d), showing that both are capable instruments
for measuring water vapor flux. When it came to <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, the EC150 values
diverged from the dried, closed-path system to a similar degree as the
LI-7500 (Fig. 10b). Like the LI-7500, the EC150 also showed a strong negative
relationship between <inline-formula><mml:math id="M300" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and both <inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 11). These
findings suggest that the EC150 is affected by the same problems that affect
the LI-7500.</p>
      <p id="d1e4947">However, <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> comparison between the EC150 and LI-7500 did not show
strong agreement (Fig. 10c). It is<?pagebreak page6084?> possible that the disagreement between
the two stems from differences in their design (e.g., the EC150 is not
necessarily affected by the same instrument-induced <inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> as the
LI-7500 (Burba et al., 2008) and presumably has a different set of equations
accounting for water vapor cross sensitivity). But the overall spurious,
high magnitudes for <inline-formula><mml:math id="M305" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> appear to stem from problems inherent to the
open-path design. The EC150, like the LI-7500, appears to be more
appropriate for use in regions with larger magnitude <inline-formula><mml:math id="M306" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <title>Gas transfer velocity</title>
      <?pagebreak page6086?><p id="d1e5015">While measuring <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> in the same range as chamber measurements shows
that the method ameliorates problems associated with open-path systems, it
alone is not a full accounting of measurement quality. To further assess the
performance of the flux system, we compared our open water results against
those from previous studies. To do this we calculated gas transfer velocity,
a coefficient which describes the efficiency of gas transport across the
air–sea interface. Gas transfer velocity is a more effective comparison
than <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> because it provides more context. It was calculated by
setting our measured flux equal to the bulk <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux formula (<inline-formula><mml:math id="M310" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
<inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mi>k</mml:mi><mml:mi>s</mml:mi><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">w</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>-</mml:mo><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">atm</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>) and rearranging the equation to form
            <disp-formula id="Ch1.E9" content-type="numbered"><mml:math id="M312" display="block"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">w</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">atm</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M313" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> is the gas transfer velocity, <inline-formula><mml:math id="M314" display="inline"><mml:mi>s</mml:mi></mml:math></inline-formula> is the solubility of <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in
seawater, and <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">w</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">atm</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> are the partial pressure of <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in water
and the atmosphere, respectively (Wanninkhof and McGillis, 1999). While
<inline-formula><mml:math id="M319" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">atm</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> were continuously measured by the EC system, <inline-formula><mml:math id="M321" display="inline"><mml:mi>s</mml:mi></mml:math></inline-formula> and
<inline-formula><mml:math id="M322" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">w</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> were not. They were however, measured aboard the research vessel
(RV) <italic>Martin Bergmann</italic>, which made several courses past the island in August 2017. For the
flux intervals that aligned temporally with these passes (all fully open
water), we calculated <inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">660</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M324" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> adjusted to a Schmidt number (<italic>Sc</italic>) of 660). The
<inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">660</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values plotted against <inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:msub><mml:mi/><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 12) showed good
agreement with previous parameterizations of <inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">660</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Wanninkhof, 1992,
2014). Because the (RV) <italic>Martin Bergmann</italic> data showed that
<inline-formula><mml:math id="M328" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">w</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> had high temporal and
spatial variability in this region, and because we only have three data
points, this result should not be interpreted as a new functional form to
the <inline-formula><mml:math id="M329" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> vs. <inline-formula><mml:math id="M330" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:msub><mml:mi/><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> relationship. What it does indicate is that the
dried, closed-path flux system is able to resolve <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> within an
expected range, based on previous results. Conversely, <inline-formula><mml:math id="M332" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">660</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values from the
open-path IRGAs were not similar to previous findings. For these three
intervals, the mean <inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">660</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was 247 cm h<inline-formula><mml:math id="M334" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for the EC150 and
<inline-formula><mml:math id="M335" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>28 cm h<inline-formula><mml:math id="M336" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for the LI-7500 (where negative represents counter-gradient flux). This provides additional evidence that the open-path IRGAs
are not capable of resolving <inline-formula><mml:math id="M337" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes in this environment.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12"><caption><p id="d1e5487">Gas transfer velocity (<inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">660</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) plotted against 10 m neutral
wind speed for three periods in which the RV <italic>Martin Bergmann</italic> measured <inline-formula><mml:math id="M339" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">w</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
within 3 km of the tower and in which the magnitude of <inline-formula><mml:math id="M340" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
(i.e., <inline-formula><mml:math id="M341" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">w</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>-</mml:mo><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">atm</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>)
was greater than 20 <inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">atm</mml:mi></mml:mrow></mml:math></inline-formula>. Parameterizations of Wanninkhof (1992) and
Wanninkhof (2014) are shown as blue and red lines, respectively.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/6075/2018/amt-11-6075-2018-f12.png"/>

        </fig>

      <p id="d1e5583">The quality of the flux measurement was also assessed by comparing previous
years' measurements of <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">w</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> to estimated <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">w</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (using <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>)
from our study period. Measurements of <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">w</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> were collected aboard the
Canadian Coast Guard (CCGS) Ice Breaker <italic>Amundsen</italic> near Qikirtaarjuk Island during
five previous summers (2010, 2011, 2014, 2015, 2016). August measurements of
<inline-formula><mml:math id="M347" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">w</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (collected within a 10 km radius of the tower) ranged from 360 to
469 <inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">atm</mml:mi></mml:mrow></mml:math></inline-formula>, with a mean of <inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:mn mathvariant="normal">407</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">34</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">atm</mml:mi></mml:mrow></mml:math></inline-formula>. Estimates of
<inline-formula><mml:math id="M351" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">w</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> from our study period were calculated by rearranging Eq. (9) so
that <inline-formula><mml:math id="M352" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">w</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M353" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M354" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> k<inline-formula><mml:math id="M355" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M356" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M357" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M358" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">atm</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>. As stated above,
<inline-formula><mml:math id="M359" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">atm</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M360" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> were measured by the tower. Gas transfer velocity
was obtained using the Wanninkhof (2014) parameterization with measured
<inline-formula><mml:math id="M361" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:msub><mml:mi/><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, plus the mean Schmidt number (<italic>Sc</italic>) from the RV <italic>Martin Bergmann</italic> dataset (<italic>Sc</italic> <inline-formula><mml:math id="M362" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula>
1150). Solubility was also estimated as the mean value from the RV <italic>Martin Bergmann</italic> data
(<inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:mi>s</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">48</mml:mn></mml:mrow></mml:math></inline-formula> mol m<inline-formula><mml:math id="M364" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> atm<inline-formula><mml:math id="M365" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>).</p>
      <p id="d1e5910"><?xmltex \hack{\newpage}?>Using <inline-formula><mml:math id="M366" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> from the dried, closed-path IRGA yielded <inline-formula><mml:math id="M367" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">w</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
estimates ranging from 347 to 481 <inline-formula><mml:math id="M368" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">atm</mml:mi></mml:mrow></mml:math></inline-formula> (10th to 90th
percentile) and a median value of 407 <inline-formula><mml:math id="M369" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">atm</mml:mi></mml:mrow></mml:math></inline-formula>, over the course of summer
2017. This matched reasonably well with the range identified by the CCGS
<italic>Amundsen</italic> measurements. Comparatively, the <inline-formula><mml:math id="M370" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">w</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values from the open-path IRGAs
were not as tightly clustered around a central value (Fig. 13). The fluxes
from the LI-7500 and EC150 led to <inline-formula><mml:math id="M371" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">w</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> estimates ranging from <inline-formula><mml:math id="M372" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1255
to 1101 <inline-formula><mml:math id="M373" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">atm</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M374" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1252 to 906 <inline-formula><mml:math id="M375" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">atm</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. These values
are far beyond the magnitude observed in this region (and with no physical
basis in the case of negative values), further evidence that the open-path
IRGAs are not capable of providing accurate <inline-formula><mml:math id="M376" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> measurements in the
relatively low <inline-formula><mml:math id="M377" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> conditions typically found in the
marine environment.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><caption><p id="d1e6072">Histograms showing the normalized frequency (%) of <inline-formula><mml:math id="M378" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">w</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
calculated using <inline-formula><mml:math id="M379" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> from the EC150, LI-7500, and LI-7200. The limits
in the <inline-formula><mml:math id="M380" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis were truncated at <inline-formula><mml:math id="M381" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>400 and 1200 for better visualization.
However, roughly a quarter of <inline-formula><mml:math id="M382" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">w</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values from both the EC150 and
LI-7500 extend beyond these limits.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/6075/2018/amt-11-6075-2018-f13.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS5">
  <title>Drying</title>
      <p id="d1e6150">The drying system worked as desired, drying the sample air to dew point
temperatures of <inline-formula><mml:math id="M383" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.6</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M384" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, compared to the LI-7500 which
measured average ambient dew point temperatures of <inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.6</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M386" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. Perhaps more
importantly it reduced fluctuations in water vapor, reducing the standard
deviation in <inline-formula><mml:math id="M387" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratio by over an order of magnitude from <inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> mmol mol<inline-formula><mml:math id="M389" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> to <inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.007</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.008</mml:mn></mml:mrow></mml:math></inline-formula> mmol mol<inline-formula><mml:math id="M391" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. This
resulted in reducing the standard deviation of the <inline-formula><mml:math id="M392" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratio
from <inline-formula><mml:math id="M393" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M394" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.
This matches the LI-7200's specification for root mean square noise at a
sampling rate of 10 Hz, showing that preconditioning the sample air
completely removed the influence of other variables on the <inline-formula><mml:math id="M396" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
measurement.</p>
      <?pagebreak page6087?><p id="d1e6325">As the comparisons between the LI-7200 and LI-7500/EC150 show, drying the
air did seem helpful in producing <inline-formula><mml:math id="M397" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> that are more in line with
expected values. Interestingly, however, there were two occasions when the
desiccant's capacity ran out and the closed-path IRGA was receiving sample
air with near-ambient water vapor content (Fig. 6h). During those periods
of time, the LI-7200 still experienced standard deviations in <inline-formula><mml:math id="M398" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
mixing ratio 3.5 times lower than the open-path LI-7500. Additionally, there
was no increase in the variance of <inline-formula><mml:math id="M399" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> from the LI-7200 during these
periods, and <inline-formula><mml:math id="M400" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> magnitudes did not increase to open-path levels. This
suggests that even without a dry counterflow, the Nafion drier still
improves <inline-formula><mml:math id="M401" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> measurements to an acceptable level by reducing
fluctuations in water vapor. This makes sense because spikes of moister or
drier air will still exchange <inline-formula><mml:math id="M402" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> with a counterflow that is at mean
ambient humidity. Without a parallel, undried LI7200 it impossible to
quantify how much of the smoothing is from the Nafion compared to the
natural “stickiness” of <inline-formula><mml:math id="M403" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> on tube walls. However, the impact of
<inline-formula><mml:math id="M404" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> smoothing from tube walls alone was tested in Butterworth and
Miller (2016b) with an undried LI7200. It was found that tubing did not
fully remove the influence of water vapor on the <inline-formula><mml:math id="M405" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux, and instead
showed up as a spurious low-frequency contribution to the flux, which was
visible in the flux cospectra. In this study, when the desiccant was
exhausted, the cospectra did not indicate interference from water vapor,
suggesting that the Nafion played a critical role. This finding may
have important implications for the design of future systems (i.e., a system
could be designed that uses a Nafion and counterflow, but without a dry air
source), and should be investigated further.</p>
</sec>
<sec id="Ch1.S4.SS6">
  <title>Future work</title>
      <p id="d1e6462">In April 2018 as part of the Polar Knowledge Canada-funded CAT-TRAIN project
in collaboration with the Arctic Research Foundation, a mobile power
station/research lab was installed at the site. This new infrastructure will
be used to increase the functionality of the system. Specific additions that
are being considered are incorporating waterside <inline-formula><mml:math id="M406" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">w</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> measurements, to
be used to calculate gas transfer velocity continuously through an annual
cycle. This would be particularly useful considering the <inline-formula><mml:math id="M407" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">w</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
measurements from the CCGS <italic>Amundsen</italic> and the RV <italic>Martin Bergmann</italic>, which showed that this region often
has <inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of sufficient magnitude to measure accurate
gas transfer velocities.</p>
      <p id="d1e6519">Additionally, for data redundancy we plan to install a second closed-path
greenhouse gas analyzer (CRDS) capable of measuring <inline-formula><mml:math id="M409" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M410" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, and
methane (GGA-FGGA, Los Gatos Research), which we which have only deployed on
ships due to the large power consumption. Next spring a planned
intercomparison study taking place in Cambridge Bay will add simultaneous
enclosure measurements to verify agreement between the two methods. Lastly,
the system will be used (in forthcoming papers) to investigate annual gas
exchange cycles and process-level questions, including the processes
affecting <inline-formula><mml:math id="M411" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> during spring melt and autumn freeze-up.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Conclusions</title>
      <p id="d1e6570">With its vast spatial extent, sea ice has the potential to play an important
role in the global <inline-formula><mml:math id="M412" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cycle. Unfortunately, there has been significant
confusion around the importance of that role, largely because the community
studying sea ice gas fluxes has been unable to reconcile large fluxes
measured by eddy covariance with significantly smaller fluxes measured by
enclosure methods (Table 1). This problem is analogous to the problem faced
by researchers studying open water gas exchange, whereby for several decades
EC measurements could not be reconciled with tracer-based measurements
(e.g., Broecker et al., 1986). The open water problem was eventually
resolved by using closed-path EC systems with a dried sample airstream
(Miller et al., 2010), and EC measurements are now better aligned with other
techniques.</p>
      <p id="d1e6584">The dried, closed-path IRGA method has previously been applied to the
marginal ice zone (i.e., open water and drifting ice), where the open water
likely dominates the <inline-formula><mml:math id="M413" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux signal (Butterworth and Miller, 2016a).
In this study, for the first time we have applied sample drying techniques
to an installation capable of measuring <inline-formula><mml:math id="M414" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes throughout an annual
sea ice cycle. This allowed for measurements over many different surface
conditions, including landfast sea ice, ice break-up, and open water. Fluxes
measured during the open water season matched well with existing gas
transfer parameterizations, lending credibility to the method. During the
ice-covered season, this new measurement system closed the gap between EC
and enclosure methods, producing <inline-formula><mml:math id="M415" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> with magnitudes in the range
found by enclosure studies. This finding suggests that modeling or upscaling
studies aiming to estimate the global <inline-formula><mml:math id="M416" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> exchange associated with
landfast sea ice should focus on the smaller range of <inline-formula><mml:math id="M417" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes
published by enclosure studies, at least until the EC method presented in
this paper can be applied to more sea ice environments.</p>
      <p id="d1e6647">The dried, closed-path EC method presented here represents a significant
advancement from previous attempts to measure <inline-formula><mml:math id="M418" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> over sea ice. We
showed that incorporating the additional system complexity is feasible, even
in remote polar locations, by presenting an effective approach for drying
under low power requirements. The improved system can obtain long-term,
continuous <inline-formula><mml:math id="M419" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> measurements over larger spatial scales than is
possible with enclosures and opens potential avenues for new research,
including a greater scrutiny of the ecosystem-scale processes affecting
<inline-formula><mml:math id="M420" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes in sea ice regions.</p><?xmltex \hack{\newpage}?>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability">

      <p id="d1e6698">The flux data from this study are not currently being placed in a data
repository. We plan to publish the dataset as one full year of flux data
with an upcoming paper highlighting the annual flux cycle.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e6701">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/amt-11-6075-2018-supplement" xlink:title="zip">https://doi.org/10.5194/amt-11-6075-2018-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution">

      <p id="d1e6710">BJB and BGTE designed and installed the flux system.
BGTE secured the grant funding for the research activities and
organized field logistics. BJB processed and analyzed the flux
data. BJB prepared the manuscript with contributions from BGTE.</p>
  </notes><notes notes-type="competinginterests">

      <p id="d1e6716">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e6722">We wish to thank the many students and technicians who helped install and
maintain the eddy covariance tower, in particular Shawn Marriott, Patrick
Duke, Angulalik Pederson, Jasmine Tiktalek, Laura Dalman, and Vishnu Nandan.
Thanks are given to Yves Bernard for providing UAV footage. We would also like to
thank John Prytherch and an anonymous reviewer for their thoughtful
comments. The deployment of this tower in such a challenging location would
not have been possible without the excellent logistical support provided by
Polar Knowledge Canada, the Arctic Research Foundation, and the Polar
Continental Shelf Program. Financial support was provided by the Marine
Environmental Observation Prediction and Response (MEOPAR) Network of
Centres of Excellence, Polar Knowledge Canada, the Natural Sciences and
Engineering Research Council of Canada (NSERC), the Canada Foundation for
Innovation John R. Evans Leaders Fund, the Nunavut Arctic College, Irving
Shipbuilding Inc., and the University of Calgary. Special thanks are given to the
Ekaluktutiak Hunters &amp; Trappers Organization for their continued support
of our projects and for the expert assistance provided by their guides.
This paper is a contribution to the SCOR Working Group 152 – Measuring
Essential Climate Variables in Sea Ice (ECV-Ice).<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: Christian Brümmer<?xmltex \hack{\newline}?>
Reviewed by: John Prytherch and one anonymous referee</p></ack><ref-list>
    <title>References</title>

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    <!--<article-title-html>Dried, closed-path eddy covariance method for measuring  carbon dioxide flux over sea ice</article-title-html>
<abstract-html><p>The Arctic marine environment plays an important role in
the global carbon cycle. However, there remain large uncertainties in how
sea ice affects air–sea fluxes of carbon dioxide (CO<sub>2</sub>), partially due
to disagreement between the two main methods (enclosure and eddy covariance)
for measuring CO<sub>2</sub> flux (<i>F</i><sub>CO<sub>2</sub></sub>). The enclosure method has appeared
to produce more credible <i>F</i><sub>CO<sub>2</sub></sub> than eddy covariance (EC), but is not
suited for collecting long-term, ecosystem-scale flux datasets in such
remote regions. Here we describe the design and performance of an EC system
to measure <i>F</i><sub>CO<sub>2</sub></sub> over landfast sea ice that addresses the shortcomings
of previous EC systems. The system was installed on a 10&thinsp;m tower on
Qikirtaarjuk Island – a small rock outcrop in Dease Strait located roughly
35&thinsp;km west of Cambridge Bay, Nunavut, in the Canadian Arctic Archipelago. The
system incorporates recent developments in the field of air–sea gas
exchange by measuring atmospheric CO<sub>2</sub> using a closed-path infrared gas
analyzer (IRGA) with a dried sample airstream, thus avoiding the known water
vapor issues associated with using open-path IRGAs in low-flux environments.
A description of the methods and the results from 4 months of continuous
flux measurements from May through August 2017 are presented, highlighting
the winter to summer transition from ice cover to open water. We show that
the dried, closed-path EC system greatly reduces the magnitude of measured
<i>F</i><sub>CO<sub>2</sub></sub> compared to simultaneous open-path EC measurements, and for the
first time reconciles EC and enclosure flux measurements over sea ice. This
novel EC installation is capable of operating year-round on solar and wind
power, and therefore promises to deliver new insights into the magnitude of
CO<sub>2</sub> fluxes and their driving processes through the annual sea ice
cycle.</p></abstract-html>
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