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<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" dtd-version="3.0"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <front>
    <journal-meta><journal-id journal-id-type="publisher">BG</journal-id><journal-title-group>
    <journal-title>Biogeosciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">BG</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Biogeosciences</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1726-4189</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/bg-14-5727-2017</article-id><title-group><article-title>Low <inline-formula><mml:math id="M1" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> under sea-ice melt in the Canada Basin of <?xmltex \hack{\break}?> the western Arctic
Ocean</article-title>
      </title-group><?xmltex \runningtitle{Low $p$CO${}_{{2}}$ under sea-ice melt in the Canada Basin}?><?xmltex \runningauthor{N.~Kosugi et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Kosugi</surname><given-names>Naohiro</given-names></name>
          <email>nkosugi@mri-jma.go.jp</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Sasano</surname><given-names>Daisuke</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7228-823X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Ishii</surname><given-names>Masao</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Nishino</surname><given-names>Shigeto</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Uchida</surname><given-names>Hiroshi</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Yoshikawa-Inoue</surname><given-names>Hisayuki</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Meteorological Research Institute, Tsukuba, 305-0052, Japan</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Japan Meteorological Agency, Tokyo, 100-8122, Japan</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Japan Agency for Marine-Earth Science and Technology, Yokosuka,
237-0061, Japan</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Graduate School of Environmental Science, Faculty
of  Environmental Earth Science, <?xmltex \hack{\newline}?> Hokkaido University,  Sapporo, 060-0810, Japan</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Naohiro Kosugi (nkosugi@mri-jma.go.jp)</corresp></author-notes><pub-date><day>20</day><month>December</month><year>2017</year></pub-date>
      
      <volume>14</volume>
      <issue>24</issue>
      <fpage>5727</fpage><lpage>5739</lpage>
      <history>
        <date date-type="received"><day>20</day><month>April</month><year>2017</year></date>
           <date date-type="rev-request"><day>21</day><month>April</month><year>2017</year></date>
           <date date-type="rev-recd"><day>10</day><month>November</month><year>2017</year></date>
           <date date-type="accepted"><day>15</day><month>November</month><year>2017</year></date>
      </history>
      <permissions>
        
        
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://bg.copernicus.org/articles/14/5727/2017/bg-14-5727-2017.html">This article is available from https://bg.copernicus.org/articles/14/5727/2017/bg-14-5727-2017.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/14/5727/2017/bg-14-5727-2017.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/14/5727/2017/bg-14-5727-2017.pdf</self-uri>
      <abstract>
    <p id="d1e164">In September 2013, we observed an expanse of surface water with low CO<inline-formula><mml:math id="M3" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
partial pressure (<inline-formula><mml:math id="M4" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (&lt; 200 <inline-formula><mml:math id="M6" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm)
in the Chukchi Sea of the western Arctic Ocean. The large undersaturation of
CO<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in this region was the result of massive primary production after
the sea-ice retreat in June and July. In the surface of the Canada Basin,
salinity was low (&lt; 27) and <inline-formula><mml:math id="M8" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> was closer to
the air–sea CO<inline-formula><mml:math id="M10" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> equilibrium (<inline-formula><mml:math id="M11" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 360 <inline-formula><mml:math id="M12" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm). From the
relationships between salinity and total alkalinity, we confirmed that the
low salinity in the Canada Basin was due to the larger fraction of meltwater
input (<inline-formula><mml:math id="M13" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.16) rather than the riverine discharge (<inline-formula><mml:math id="M14" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.1). Such
an increase in <inline-formula><mml:math id="M15" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> was not so clear in the coastal
region near Point Barrow, where the fraction of riverine discharge was larger
than that of sea-ice melt. We also identified low <inline-formula><mml:math id="M17" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>
(&lt; 250 <inline-formula><mml:math id="M19" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm) in the depth of 30–50 m under the halocline
of the Canada Basin. This subsurface low <inline-formula><mml:math id="M20" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> was
attributed to the advection of Pacific-origin water, in which  dissolved inorganic carbon is
relatively low, through the Chukchi Sea where net primary production is high.
Oxygen supersaturation (&gt; 20 <inline-formula><mml:math id="M22" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in the
subsurface low <inline-formula><mml:math id="M24" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> layer in the Canada Basin indicated
significant net primary production undersea and/or in preformed condition. If
these low <inline-formula><mml:math id="M26" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> layers surface by wind mixing, they will
act as additional CO<inline-formula><mml:math id="M28" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> sinks; however, this is unlikely because
intensification of stratification by sea-ice melt inhibits mixing across the
halocline.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e413">The extent and thickness of sea ice  in the Arctic Ocean have been
declining in recent decades (Comiso, 2012; Stroeve et al., 2012a, b); these
declines are widely considered a consequence of climate change resulting from
the emissions of anthropogenic greenhouse gases. The average monthly extent
of sea ice in September in the Arctic Ocean decreased by about 12.4 % per
decade from 1979 to 2010 (Stroeve et al., 2012b). In September 2012, the area
of sea ice in the Arctic Ocean was less than 4 <inline-formula><mml:math id="M29" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> km<inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>,
about 50 % of the average in the 1980s (Parkinson and Comiso, 2013).
Because of this decline in the extent of sea ice, the air–sea CO<inline-formula><mml:math id="M32" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> flux
in the Arctic Ocean is also thought to be dramatically changing. Currently,
the Arctic CO<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> sink has been estimated as 66–199 Tg C yr<inline-formula><mml:math id="M34" 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 large uncertainty (Bates and Mathis, 2009; Yasunaka et al., 2016).
This value is equivalent to 3–8 % of the net CO<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> sink of the global
ocean (2.6 <inline-formula><mml:math id="M36" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.5 Pg C yr<inline-formula><mml:math id="M37" 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> in the period 2006–2015; Le
Quéré et al., 2016). A recent modeling study suggests that the
CO<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> sink in the Arctic Ocean is increasing (Manizza et al., 2013).</p>
      <p id="d1e509">The reasons for an increasing CO<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> sink in the Arctic Ocean include the
increase in the area and duration of ice-free conditions and the enhanced net
primary production they induce. However, the effect of increasing meltwater
input that accompanies the sea-ice decline should also be taken into
consideration (Yamamoto-Kawai et al., 2009; Rabe et al., 2014). The large
input of ice melt enhances stratification in the upper layer and forms a thin
surface mixed layer with a distinct halocline below. Although dilution of the
surface water with meltwater lowers the partial pressure of CO<inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula>CO<inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, shoaling of the surface mixed layer would
accelerate equilibration of the surface water with the overlying air. The
input of meltwater is also likely to influence carbonate chemistry by
altering the ratio of dissolved inorganic carbon (DIC) to total alkalinity
(TA), although it is still unclear whether the addition of meltwater
increases or decreases the DIC <inline-formula><mml:math id="M42" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> TA ratio (Rysgaard et al., 2007; Bates et al.,
2014). Cai et al. (2010) reported unprecedented high <inline-formula><mml:math id="M43" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>
(<inline-formula><mml:math id="M45" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 370 <inline-formula><mml:math id="M46" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm) in the Canada Basin in summer. They ascribed
this high <inline-formula><mml:math id="M47" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> to low net primary production and rapid
equilibration with atmospheric CO<inline-formula><mml:math id="M49" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the shallow mixed layer derived
from meltwater input. The low nutrient concentration in meltwater limits the
biological drawdown of <inline-formula><mml:math id="M50" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>. Else et al. (2013) found
that surface warming also contributed significantly to
<inline-formula><mml:math id="M52" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> increase in a shallow mixed layer in the Canada
Basin. Both studies concluded that an increase in meltwater lowers CO<inline-formula><mml:math id="M54" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
absorbing capacity in the Canada Basin.</p>
      <p id="d1e666">A notable feature of the Canada Basin in summer is a complex water-column
structure. Because of the strong salinity gradient, there are several maxima
and minima of temperature within 150 m of the surface. This water-column
structure does not always remain stable in the rapidly changing Arctic Ocean.
Although Cai et al. (2010) and Else et al. (2013) reported relatively high
surface <inline-formula><mml:math id="M55" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> in the Canada Basin, they did not fully
explain the CO<inline-formula><mml:math id="M57" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> chemistry below the surface mixed layer there. We
studied the water-column CO<inline-formula><mml:math id="M58" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> variation in the western Arctic Ocean and
the processes that cause it.</p>
      <p id="d1e706">In late summer 2013, we made shipboard observations in the Chukchi Sea and in
the Canada Basin of the western Arctic Ocean. While underway or at
hydrographic stations, or both, we measured temperature, salinity, dissolved
oxygen, and the carbonate system variables <inline-formula><mml:math id="M59" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, DIC, and
TA. From the salinity–TA relationship, we also mapped the mixing ratio of
sea-ice meltwater, riverine outflow (RRO), and water of Pacific origin that entered
into the western Arctic Ocean through the Bering Strait. The results
demonstrate the importance of large net primary production in reducing the
<inline-formula><mml:math id="M61" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> and increasing air-to-sea CO<inline-formula><mml:math id="M63" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> flux in the
Chukchi Sea. Although this low <inline-formula><mml:math id="M64" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> water is advected
into the Canada Basin, air-to-sea CO<inline-formula><mml:math id="M66" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> flux there is blocked by a
stratified shallow surface layer that is formed by a large ice melt input.</p>
</sec>
<sec id="Ch1.S2">
  <title>Measurements and data</title>
      <p id="d1e791">Oceanographic measurements in the Chukchi Sea and the Canada Basin were made
during cruise MR13-06 of the R/V <italic>Mirai</italic> conducted by the Japan Agency
for Marine-Earth Science and Technology from 28 August to 6 October 2013
(Nishino et al., 2015). The port of departure and arrival was Dutch Harbor,
Alaska, USA. Most of the data used in this paper are available from the JAMSTEC
Data Site for Research Cruises
(<uri>http://www.godac.jamstec.go.jp/darwin/cruise/mirai/mr13-06_leg1/e</uri>).
The rest of the data will be made available as soon as they are ready.</p>
      <p id="d1e800">We made underway measurements of <inline-formula><mml:math id="M67" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> and DIC together
with temperature (<inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and salinity (<inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in seawater pumped continuously
from an intake located 4.5 m below surface. For the measurement of
<inline-formula><mml:math id="M71" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, the pumped water was continuously introduced into a
shower-type equilibrator with 1.4 dm<inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> headspace at a rate of
4 dm<inline-formula><mml:math id="M74" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> min<inline-formula><mml:math id="M75" 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>. A wavelength-scanned cavity ring-down spectrometer
(G2301, Picarro Inc., USA) was used to measure the concentrations of
CO<inline-formula><mml:math id="M76" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the headspace of the equilibrator and in the atmosphere sampled
from the foremast. The instrument was stable and calibrated once a day
against a set of three working standard gases of CO<inline-formula><mml:math id="M77" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in air (Japan Fine
Products, 206.34 to 489.28 ppmv) that had been standardized on the WMO X2007
scale (Zhao and Tans, 2006). Response of the instrument to the CO<inline-formula><mml:math id="M78" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentration was linear. The residual of each standard gas from liner
regression was less than 0.03 ppmv. According to the manufacturer's report,
precision of CO<inline-formula><mml:math id="M79" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> measurement above 500 ppmv is 0.1 %.</p>
      <p id="d1e929">For the underway measurement of DIC, a portion of pumped water was
automatically taken every 15 min and filled into glass bottles (SCHOTT
DURAN<sup>®</sup>; 300 cm<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> that have been capped
with a screw-type lid. Filling, transport, and discharge of the samples were
all done through high-density PFA tubes mounted through the lid. DIC was
measured after the temperature of the sample seawater was adjusted to 20.0 <inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in
a thermostated water bath for 1 h, using a CO<inline-formula><mml:math id="M82" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
extraction–coulometric titration system (Nippon ANS, Inc., Japan). This
system was comprised of seawater dispensing unit, a CO<inline-formula><mml:math id="M83" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> extraction unit,
and a coulometer (Model 3000, Nippon ANS, Inc., Japan). This unit dispenses
the seawater from sample bottle to a water-jacketed glass pipette of nominal
15 cm<inline-formula><mml:math id="M84" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> volume. The temperature of seawater samples in the pipette was
kept at 20.0 <inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C by a water jacket. The sample was then transferred
into a glass stripping chamber and stripped of DIC by adding 2 cm<inline-formula><mml:math id="M86" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> of
phosphoric acid (10 % <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mi>v</mml:mi><mml:mo>/</mml:mo><mml:mi>v</mml:mi></mml:mrow></mml:math></inline-formula>). The emerged CO<inline-formula><mml:math id="M88" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> was extracted into the
stream of nitrogen gas (130 cm<inline-formula><mml:math id="M89" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> min<inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and transferred to the
coulometer. The system was standardized with Certified Reference Material
(CRM; batch no. 113) supplied by A. G. Dickson (Scripps Institution of
Oceanography); underway measurement of DIC was interrupted for several hours
once a day for calibration. The precision of measurement determined by
repeatability of CRMs was <inline-formula><mml:math id="M91" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2.2 <inline-formula><mml:math id="M92" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M93" 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 values
of TA in the surface were calculated from measured <inline-formula><mml:math id="M94" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>,
DIC, temperature, and salinity using dissociation constants of carbonic acid
given by Lueker et al. (2000) and a macro package of CO2SYS program for
Microsoft Excel (Pierrot et al., 2006). Uncertainty in surface TA was
estimated as <inline-formula><mml:math id="M96" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>3 <inline-formula><mml:math id="M97" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M98" 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 taking the uncertainties
of DIC and <inline-formula><mml:math id="M99" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> into account.</p>
      <p id="d1e1139">At hydrographic stations, seawater-column profiles of temperature, salinity,
and dissolved oxygen were obtained with a CTD (SBE 9 plus, Sea-Bird
Scientific, USA) rosette sampler equipped with sensors for dissolved oxygen
(SBE 43, Sea-Bird Scientific, USA) and Niskin bottles (12 dm<inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. In
addition to the CTD casts, some expendable CTDs (XCTD) were used to obtain
water-column profiles of temperature and salinity. Discrete water samples
were taken in Niskin bottles at depths of 0, 5, 10, 20, 30, 40, 50, 75, 100,
125, 150, and 200 m along with CTD measurements. Samples were also collected
at chlorophyll maximum layers that ranged from 12 to 92 m. Measurements of
dissolved oxygen were made by the Winkler titration method following
Dickson (1994) and used to correct for the bias of the data from the oxygen
sensor SBE 43. Apparent oxygen utilization (AOU), i.e., the difference
between the measured concentration of dissolved oxygen and its saturation
concentration under the same potential temperature and salinity conditions,
was calculated using the oxygen solubility constant given by Garcia and
Gordon (1992). Water samples for chlorophyll <inline-formula><mml:math id="M102" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> were vacuum-filtered
(&lt; 0.02 MPa) through a 25 mm diameter Whatman grade GF/F filter,
and fluorescence was measured for each sample with a fluorometer (10-AU-005,
Turner Designs, USA). The fluorometer was calibrated against pure
chlorophyll <inline-formula><mml:math id="M103" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> (Sigma-Aldrich, USA). The concentration of nutrients
(nitrate, nitrite, silicate, phosphate, and ammonia) was determined using a
continuous flow analyzer (QuAAtro 2-HR, BLTEC, Japan) according to the
GO-SHIP Repeat Hydrography Manual (Hydes et al., 2010). Reference materials
for nutrients of seawater (Aoyama and Hydes, 2010) were used.</p>
      <p id="d1e1169">Subsamples for DIC and TA measurements in the discrete water samples were
drawn into borosilicate glass bottles (300 cm<inline-formula><mml:math id="M104" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> for DIC and
125 cm<inline-formula><mml:math id="M105" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> for TA) using the protocol of Dickson et al. (2007).
Measurements of DIC at depths were also made with the extraction–coulometric
system (Nippon Ans., Japan). Saturated solution of HgCl<inline-formula><mml:math id="M106" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (0.1 cm<inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
was added to each of the samples to inhibit any biological activity.
Measurements of TA were made with a spectrophotometric system (Nippon Ans.,
Japan) based on a single-point pH determination using bromocresol green as an
indicator dye (Yao and Byrne, 1998). Seawater sampled in the glass bottles
was transferred to an optical cell via dispensing unit. The length and volume
of the cell were 8 cm and 13 cm<inline-formula><mml:math id="M108" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>, respectively. Temperature of the
cell was kept at 25.0 <inline-formula><mml:math id="M109" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. The sample was mixed for 8.5 min after the
injecting the indicator dye solution and hydrochlonic acid (0.05 M). TA was
calculated from absorbance ratio at 444 and 616 nm (<inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">616</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">444</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.
Replicate measurements yielded an average and standard deviation of
differences of 1.0 <inline-formula><mml:math id="M111" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.1 <inline-formula><mml:math id="M112" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol 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> for DIC and
0.9 <inline-formula><mml:math id="M114" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.8 <inline-formula><mml:math id="M115" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M116" 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 TA. Values of
<inline-formula><mml:math id="M117" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> in discrete water samples were calculated from DIC,
TA, temperature, and salinity using dissociation constants of carbonic acid
given by Lueker et al. (2000).</p>
      <p id="d1e1322">Satellite-derived net primary production (NPP) was used to evaluate
biological production in a broad area. NPP is estimated from empirical
equations using chlorophyll concentration, sea surface temperature (SST),
photosynthetically active radiation, and length of the daytime as variables
in the Vertical Generalized Production Model (Behrenfeld and Falkowski,
1997). The data of NPP were downloaded from the website of Oregon State
University
(<uri>http://www.science.oregonstate.edu/ocean.productivity/standard.product.php</uri>).</p>
      <p id="d1e1328">Monthly averaged wind speed data from the Japanese 55-year reanalysis
(JRA-55) product were used to calculate air–sea CO<inline-formula><mml:math id="M119" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> flux. JRA-55 has a
spatial resolution of 1.25<inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude by 1.25<inline-formula><mml:math id="M121" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude
(Kobayashi et al., 2015). We applied data of reanalysis rather than those of
an anemometer mounted on the ship after considering the representativeness of
data.</p>
</sec>
<sec id="Ch1.S3">
  <title>Calculations</title>
<sec id="Ch1.S3.SS1">
  <?xmltex \opttitle{CO${}_{{2}}$ flux and half-life of $\Delta p$CO${}_{{2}}$}?><title>CO<inline-formula><mml:math id="M122" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> flux and half-life of <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula>CO<inline-formula><mml:math id="M124" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></title>
      <p id="d1e1397">Surface <inline-formula><mml:math id="M125" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> was calculated from the mole fraction of
CO<inline-formula><mml:math id="M127" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the air by taking the water vapor pressure and atmospheric
pressure into account. The temperature and salinity of the pumped water at
the intake were continuously measured with sensors SBE 38 and SBE 45,
respectively (Sea-Bird Electronics, USA). PT100 thermometer was equipped with
the equilibrator. An increase in temperature between in situ seawater
(<inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and the equilibrator (<inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">eq</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was typically about 0.2 <inline-formula><mml:math id="M130" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. Equation (1)
in Takahashi et al. (2009) was applied to convert
<inline-formula><mml:math id="M131" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">eq</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M133" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Uncertainty in the value of
<inline-formula><mml:math id="M135" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> measured using the same type of equilibrator has
been estimated to be <inline-formula><mml:math id="M137" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>3 <inline-formula><mml:math id="M138" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm (Midorikawa et al., 2006).</p>
      <p id="d1e1550">Air–sea CO<inline-formula><mml:math id="M139" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> flux (<inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was calculated using the following
equation:

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M141" 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="normal">Δ</mml:mi><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mi>p</mml:mi><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup><mml:mo>-</mml:mo><mml:mi>p</mml:mi><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">air</mml:mi></mml:msubsup><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 displaystyle="true" class="stylechange"/><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>k</mml:mi><mml:mi mathvariant="italic">α</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where <inline-formula><mml:math id="M142" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> denotes the solubility of CO<inline-formula><mml:math id="M143" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in seawater (Weiss, 1974).
We used a gas-transfer piston velocity <inline-formula><mml:math id="M144" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> given by Wanninkhof (2014):

                <disp-formula id="Ch1.E3" content-type="numbered"><mml:math id="M145" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.251</mml:mn><mml:mo>×</mml:mo><mml:msubsup><mml:mi>U</mml:mi><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>×</mml:mo><mml:mo>(</mml:mo><mml:mi>S</mml:mi><mml:mi>c</mml:mi><mml:mo>/</mml:mo><mml:mn mathvariant="normal">660</mml:mn><mml:msup><mml:mo>)</mml:mo><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:msup><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          <inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> denotes wind speed at 10 m a.s.l. (above sea
level). <italic>Sc</italic> indicates the Schmidt number (Wanninkhof, 2014).</p>
      <p id="d1e1741">Half-life of CO<inline-formula><mml:math id="M147" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> gas exchange (<inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was calculated for
quantitative discussion about temporal variation in <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula>CO<inline-formula><mml:math id="M150" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. At
first, initial conditions of temperature, salinity, DIC, and TA were set.
Initial <inline-formula><mml:math id="M151" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M152" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M153" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mn mathvariant="normal">0</mml:mn></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was calculated from these values using
dissociation constants of carbonic acid given by Lueker et
al. (2000).<?xmltex \hack{\newpage}?><?xmltex \hack{\noindent}?>

                <disp-formula id="Ch1.E4" content-type="numbered"><mml:math id="M155" display="block"><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>p</mml:mi><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mn mathvariant="normal">0</mml:mn></mml:msubsup><mml:mo>=</mml:mo><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>,</mml:mo><mml:mi>S</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">DIC</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">TA</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></disp-formula>

          All parameters but DIC were fixed during the calculation; i.e., temperature,
salinity, and TA were assumed unchanged. <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> in each time step was
calculated using Eqs. (2), (3), and (4). Increase in DIC was calculated
from <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>. The time step was set to 1 day.

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M158" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E5"><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="normal">Δ</mml:mi><mml:mi mathvariant="normal">DIC</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">MLD</mml:mi><mml:mo>⋅</mml:mo><mml:mi mathvariant="italic">ρ</mml:mi><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>,</mml:mo><mml:mi>S</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E6"><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 mathvariant="normal">DIC</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">DIC</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">DIC</mml:mi></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            Here, MLD and <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>,</mml:mo><mml:mi>S</mml:mi></mml:mrow></mml:math></inline-formula> are fixed mixed layer depth (m) and density of seawater
in surface mixed layer (kg m<inline-formula><mml:math id="M160" 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>), respectively. After each time step,
<inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula>CO<inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi>t</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M163" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi>t</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> were calculated from DIC. The time
required to reduce <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula>CO<inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi>t</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> to half of <inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula>CO<inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mn mathvariant="normal">0</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula>
was defined as <inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p id="d1e2109">Water properties around the temperature minimum layer in the
Chukchi Sea and the Canada Basin in samples collected during cruise MR13-06
from 3 September to 1 October 2013. Potential temperature
versus <bold>(a)</bold> salinity and <bold>(b)</bold> total alkalinity (TA).</p></caption>
          <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://bg.copernicus.org/articles/14/5727/2017/bg-14-5727-2017-f01.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <title>Determination of freshwater fraction</title>
      <p id="d1e2130">In the western Arctic Ocean, the water at the temperature minimum layer
(<inline-formula><mml:math id="M170" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 150 dbar) is known to originate in the North Pacific and be advected
into the Arctic through the Bering Strait (POW: Pacific-origin water; Shimada
et al., 2005), and the water in the layer above the temperature minimum is
thought to be a mixture of this POW with sea-ice melt (SIM) and RRO.
To determine the fractions (<inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of the three different source waters –
POW, SIM, and RRO – in the upper-layer
waters of the Chukchi Sea and the Canada Basin, we used the relationship
between salinity and TA and the following mass balance equations.

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M172" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E7"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">TA</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">POW</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">TA</mml:mi><mml:mi mathvariant="normal">POW</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">TA</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">TA</mml:mi><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E8"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">POW</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">POW</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E9"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mn mathvariant="normal">1</mml:mn><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">POW</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            We chose the data of TA and <inline-formula><mml:math id="M173" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> from 38 sampling layers/locations in the
temperature minimum layer, where <inline-formula><mml:math id="M174" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> &lt; <inline-formula><mml:math id="M175" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.5 <inline-formula><mml:math id="M176" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in the
Chukchi Sea and the Canada Basin during the cruise, and defined their means
(2264.2 <inline-formula><mml:math id="M177" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12.6 <inline-formula><mml:math id="M178" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M179" 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> and 32.89 <inline-formula><mml:math id="M180" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.22) as the
values of TA<inline-formula><mml:math id="M181" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POW</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">POW</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, respectively (Fig. 1).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p id="d1e2377">TA versus salinity in the western Arctic Ocean above the
temperature minimum layer from 4 to 11 September 2013 color-coded for <bold>(a)</bold> the
fraction of sea-ice melt (<inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <bold>(b)</bold> the fraction of riverine outflow
(<inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Circles and diamonds denote surface water and CTD samples,
respectively. Star denotes the salinity and TA of Pacific-origin water (POW:
<inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 32.89 and TA <inline-formula><mml:math id="M186" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2264.2 <inline-formula><mml:math id="M187" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Broken lines
extend to the two endmembers, sea-ice melt (SIM: <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 5 and TA <inline-formula><mml:math id="M190" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 349 <inline-formula><mml:math id="M191" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and riverine
output (RRO: <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0 and TA <inline-formula><mml:math id="M194" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 793 <inline-formula><mml:math id="M195" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://bg.copernicus.org/articles/14/5727/2017/bg-14-5727-2017-f02.pdf"/>

        </fig>

      <p id="d1e2537">There are several studies of TA of riverine outflow in the Arctic. Cooper et
al. (2008) directly measured TA in six major rivers in the Arctic: they
concluded that flow-weighted average of TA of these six rivers was
1048 <inline-formula><mml:math id="M197" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M198" 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>. Yamamoto-Kawai et al. (2009) made linear
regression analysis of salinity and TA and reported that the intercept (<inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0) was 793 <inline-formula><mml:math id="M200" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M201" 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 whole Canada Basin.
Data of TA and salinity taken during our cruise indicate that the upper limit
of distribution in salinity–TA plots (Fig. 2) is consistent with the line
extended to this intercept deduced by Yamamoto-Kawai et al. (2009);
consequently, we regarded this value as TA<inline-formula><mml:math id="M202" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub></mml:math></inline-formula>. In consideration of the
spatial and temporal fluctuation of riverine TA, we assumed that the
uncertainty of TA<inline-formula><mml:math id="M203" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub></mml:math></inline-formula> is <inline-formula><mml:math id="M204" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>100 <inline-formula><mml:math id="M205" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M206" 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>
(Yamamoto-Kawai et al., 2005). Accordingly, the estimated errors of <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are as large as <inline-formula><mml:math id="M209" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.02.</p>
      <p id="d1e2663">Conversely, values of <inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and TA<inline-formula><mml:math id="M211" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub></mml:math></inline-formula> reported so far fall within a
relatively narrow range. We applied <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 5 and TA<inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 349 <inline-formula><mml:math id="M214" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<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> following Fransson et al. (2009).
Differences in <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are not larger than <inline-formula><mml:math id="M218" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.008 when
applying other values suggested by Anderson et al. (2004) (<inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 4,
TA<inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 263 <inline-formula><mml:math id="M221" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Cumulative error in
<inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> associated with the selection of the endmember
salinity and TA are within <inline-formula><mml:math id="M225" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.03. As shown in Fig. 2, <inline-formula><mml:math id="M226" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula>–TA plots
for the Chukchi Sea and Canada Basin fall among the three <inline-formula><mml:math id="M227" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula>–TA endmembers
of POW, SIM, and RRO. Surface water in the Chukchi Sea and Canada Basin
consists mainly of POW but includes sizable <inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> up to 0.16 and
<inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> up to 0.18.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F3" specific-use="star"><caption><p id="d1e2877">Surface water properties along the track of cruise MR13-06 from 4
to 11 September 2013. <bold>(a)</bold> Sea surface temperature (SST); <bold>(b)</bold> sea surface
salinity (SSS); <bold>(c)</bold> BCW (Barrow coastal water), CSW (Chukchi Sea water), and
CBW (Canada Basin water) water types according to SST and SSS. The numbers
over
triangles indicate distance sailed from Dutch harbor, Alaska, USA
(km). <bold>(d)</bold> <inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. <bold>(e)</bold> <inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.
<bold>(f)</bold> <inline-formula><mml:math id="M232" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>. <bold>(g)</bold> nDIC<inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">32</mml:mn></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> DIC <inline-formula><mml:math id="M235" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">32</mml:mn></mml:mrow></mml:math></inline-formula>, where DIC normalized is to <inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 32. <bold>(h)</bold> nTA<inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">32</mml:mn></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> TA <inline-formula><mml:math id="M239" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">32</mml:mn></mml:mrow></mml:math></inline-formula>, where
TA is normalized to <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 32. Dotted lines indicate 50 and
200 m isodepths.</p></caption>
          <?xmltex \igopts{width=278.837008pt}?><graphic xlink:href="https://bg.copernicus.org/articles/14/5727/2017/bg-14-5727-2017-f03.pdf"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <title>Results and discussion</title>
<sec id="Ch1.S4.SS1">
  <title>Variations in temperature and salinity in the surface layer</title>
      <p id="d1e3048">Cruise MR13-06 occupied a wide area of the Chukchi Sea and the Canada Basin.
General variations in surface <inline-formula><mml:math id="M242" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> in these regions have
already been well investigated (Bates, 2006; Cai et al., 2010). The results
from our cruise were not much different from these reports. Therefore, we
highlighted below the differences of water mass characteristic and CO<inline-formula><mml:math id="M244" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
dynamics in these regions. In the period from 4 to 11 September 2013,
SST, sea surface salinity (SSS), <inline-formula><mml:math id="M245" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, and DIC in
surface water were highly variable in the western Arctic Ocean (Fig. 3),
particularly around the continental slope (200 m isodepth in Fig. 3) of the
Chukchi Sea. Average <inline-formula><mml:math id="M247" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">air</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> measured on board was
385.0 <inline-formula><mml:math id="M249" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm, which is consistent with the value observed at Point
Barrow, Alaska (<uri>http://ds.data.jma.go.jp/gmd/wdcgg/</uri>). According to JRA-55,
average <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the region north of 70<inline-formula><mml:math id="M251" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N was 4–5 m s<inline-formula><mml:math id="M252" 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>
in September 2013.</p>
      <p id="d1e3161">Variation in SST and SSS on the cruise track was abrupt rather than gradual
(Fig. 3a and b). Therefore, we defined three subregions: (1) Barrow coastal
water (BCW), (2) Canada Basin water (CBW), and (3) Chukchi Sea water (CSW).
The boundary between BCW and CBW was 2 <inline-formula><mml:math id="M253" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C isotherm at
72.5<inline-formula><mml:math id="M254" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 154.8<inline-formula><mml:math id="M255" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W. CBW and CSW were separated by the 28 psu
isohaline at 73.3<inline-formula><mml:math id="M256" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 168.3<inline-formula><mml:math id="M257" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W (Fig. 3c).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p id="d1e3212">Summary of three water types (BCW, Barrow coastal water; CBW, Canada
Basin water; and CSW, Chukchi Sea water) at the surface in the western Arctic
Ocean. All samples were pumped up underway from an intake at ship's bottom.
Values are averages for samples collected from 4 to 11 September 2013. <inline-formula><mml:math id="M258" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>
denotes the number of samples. nDIC<inline-formula><mml:math id="M259" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">32</mml:mn></mml:msub></mml:math></inline-formula> and nTA<inline-formula><mml:math id="M260" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">32</mml:mn></mml:msub></mml:math></inline-formula> are DIC and TA
normalized to <italic>S</italic> <inline-formula><mml:math id="M261" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 32, respectively
(nDIC<inline-formula><mml:math id="M262" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">32</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M263" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> DIC <inline-formula><mml:math id="M264" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">32</mml:mn></mml:mrow></mml:math></inline-formula>; nTA<inline-formula><mml:math id="M266" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">32</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M267" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> TA <inline-formula><mml:math id="M268" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">32</mml:mn></mml:mrow></mml:math></inline-formula>). Standard deviation (SD) was listed below each value.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.98}[.98]?><oasis:tgroup cols="12">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Water</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M270" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M271" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M272" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">DIC</oasis:entry>  
         <oasis:entry colname="col6">nDIC<inline-formula><mml:math id="M273" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">32</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M274" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M275" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">TA</oasis:entry>  
         <oasis:entry colname="col9">nTA<inline-formula><mml:math id="M276" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">32</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10">DIC <inline-formula><mml:math id="M277" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> TA</oasis:entry>  
         <oasis:entry colname="col11"><inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col12"><inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Type</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">(<inline-formula><mml:math id="M280" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">(<inline-formula><mml:math id="M281" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M282" 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>)</oasis:entry>  
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M283" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M284" 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>)</oasis:entry>  
         <oasis:entry colname="col7">(<inline-formula><mml:math id="M285" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm)</oasis:entry>  
         <oasis:entry colname="col8">(<inline-formula><mml:math id="M286" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M287" 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>)</oasis:entry>  
         <oasis:entry colname="col9">(<inline-formula><mml:math id="M288" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M289" 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>)</oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">BCW</oasis:entry>  
         <oasis:entry colname="col2">109</oasis:entry>  
         <oasis:entry colname="col3">2.88</oasis:entry>  
         <oasis:entry colname="col4">27.01</oasis:entry>  
         <oasis:entry colname="col5">1827</oasis:entry>  
         <oasis:entry colname="col6">2166</oasis:entry>  
         <oasis:entry colname="col7">274</oasis:entry>  
         <oasis:entry colname="col8">1948</oasis:entry>  
         <oasis:entry colname="col9">2309</oasis:entry>  
         <oasis:entry colname="col10">0.938</oasis:entry>  
         <oasis:entry colname="col11">0.11</oasis:entry>  
         <oasis:entry colname="col12">0.08</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">SD</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M290" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.30</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M291" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1.37</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M292" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>72</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M293" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>34</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M294" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>13</oasis:entry>  
         <oasis:entry colname="col8"><inline-formula><mml:math id="M295" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>85</oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math id="M296" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>25</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math id="M297" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.006</oasis:entry>  
         <oasis:entry colname="col11"><inline-formula><mml:math id="M298" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.02</oasis:entry>  
         <oasis:entry colname="col12"><inline-formula><mml:math id="M299" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.04</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">CBW</oasis:entry>  
         <oasis:entry colname="col2">118</oasis:entry>  
         <oasis:entry colname="col3">0.66</oasis:entry>  
         <oasis:entry colname="col4">26.19</oasis:entry>  
         <oasis:entry colname="col5">1803</oasis:entry>  
         <oasis:entry colname="col6">2203</oasis:entry>  
         <oasis:entry colname="col7">332</oasis:entry>  
         <oasis:entry colname="col8">1882</oasis:entry>  
         <oasis:entry colname="col9">2299</oasis:entry>  
         <oasis:entry colname="col10">0.958</oasis:entry>  
         <oasis:entry colname="col11">0.10</oasis:entry>  
         <oasis:entry colname="col12">0.12</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">SD</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M300" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.58</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M301" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.24</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M302" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>19</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M303" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>16</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M304" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>19</oasis:entry>  
         <oasis:entry colname="col8"><inline-formula><mml:math id="M305" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>16</oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math id="M306" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>9</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math id="M307" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.004</oasis:entry>  
         <oasis:entry colname="col11"><inline-formula><mml:math id="M308" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.01</oasis:entry>  
         <oasis:entry colname="col12"><inline-formula><mml:math id="M309" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.01</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">CSW</oasis:entry>  
         <oasis:entry colname="col2">54</oasis:entry>  
         <oasis:entry colname="col3">3.03</oasis:entry>  
         <oasis:entry colname="col4">31.06</oasis:entry>  
         <oasis:entry colname="col5">1923</oasis:entry>  
         <oasis:entry colname="col6">1982</oasis:entry>  
         <oasis:entry colname="col7">198</oasis:entry>  
         <oasis:entry colname="col8">2131</oasis:entry>  
         <oasis:entry colname="col9">2196</oasis:entry>  
         <oasis:entry colname="col10">0.903</oasis:entry>  
         <oasis:entry colname="col11"><inline-formula><mml:math id="M310" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.01</oasis:entry>  
         <oasis:entry colname="col12">0.08</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">SD</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M311" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.23</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M312" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.19</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M313" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>13</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M314" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>6</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M315" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>19</oasis:entry>  
         <oasis:entry colname="col8"><inline-formula><mml:math id="M316" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>12</oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math id="M317" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>3</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math id="M318" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.002</oasis:entry>  
         <oasis:entry colname="col11"><inline-formula><mml:math id="M319" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.00</oasis:entry>  
         <oasis:entry colname="col12"><inline-formula><mml:math id="M320" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.01</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <p id="d1e4028">The fraction of freshwater had distinct spatial variations among the three
subregions (Fig. 3d and e; summarized in Table 1). Low salinity in BCW was
mainly due to riverine outflow: in this subregion, <inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was as large as
0.18, presumably because the Alaskan coastal current which flows northward
along the Alaskan coast toward Point Barrow contains a considerable fraction
of Yukon River outflow (Steele et al., 2004). In contrast, the lower
salinity in the CBW was primarily due to the input of meltwater from sea
ice, although it also contained significant riverine outflow. In the
northernmost region of the Canada Basin (north of 74<inline-formula><mml:math id="M322" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N),
<inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was as large as 0.16, whereas <inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was no more than 0.10 and
was almost always lower than <inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. CSW was largely composed of Pacific
water and rarely contained riverine outflow as it flowed directly from the
Bering Strait.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <title>Variations in carbonate chemistry in the surface layer</title>
      <p id="d1e4090">Remarkable differences in <inline-formula><mml:math id="M326" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, DIC, and TA were observed
among the three subregions (Table 1, Fig. 3f, g, and h). We attributed the
low DIC <inline-formula><mml:math id="M328" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> TA ratio and the low <inline-formula><mml:math id="M329" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M330" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> (&lt; 200 <inline-formula><mml:math id="M331" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm)
in CSW to the massive biological activity there in early summer. In this
region, net primary production decreases <inline-formula><mml:math id="M332" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> to 200 <inline-formula><mml:math id="M334" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm or
less in early summer (Bates, 2006). According to the analysis
of satellite imagery, NPP in July 2013 was as high
as 1000 mgC m<inline-formula><mml:math id="M335" 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> day<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> in the majority of the Chukchi Sea. Even
though NPP had decreased to <inline-formula><mml:math id="M337" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 500 mgC m<inline-formula><mml:math id="M338" 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> day<inline-formula><mml:math id="M339" 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> in September
2013 during our measurements, <inline-formula><mml:math id="M340" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M341" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> had been notably lower
than <inline-formula><mml:math id="M342" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M343" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">air</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> for months after the massive primary production in
early summer. This was because of both a still relatively high biological
production and slow net CO<inline-formula><mml:math id="M344" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> exchange. Under typical summer conditions
(<inline-formula><mml:math id="M345" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 3 <inline-formula><mml:math id="M346" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, <inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 32, DIC <inline-formula><mml:math id="M348" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2000 <inline-formula><mml:math id="M349" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M350" 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>, TA <inline-formula><mml:math id="M351" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2220 <inline-formula><mml:math id="M352" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M353" 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>, mixed
layer depth <inline-formula><mml:math id="M354" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 15 m, and <inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 5.0 m s<inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is
considered to be longer than 100 days.</p>
      <p id="d1e4410">The DIC <inline-formula><mml:math id="M358" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> TA ratio in CBW was higher than that in CSW (Table 1). The value of
<inline-formula><mml:math id="M359" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> in CBW ranged from 300 to 360 <inline-formula><mml:math id="M361" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm (Fig. 3f).
Although the level of <inline-formula><mml:math id="M362" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> in CBW was still lower than
the <inline-formula><mml:math id="M364" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">air</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> (385 <inline-formula><mml:math id="M366" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm), it was much higher than that in CSW.
The primary cause of the <inline-formula><mml:math id="M367" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M368" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> being nearly as high as
<inline-formula><mml:math id="M369" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M370" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">air</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> is that the addition of meltwater to the surface layer
shoals the mixed layer (Cai et al., 2010; Else et al., 2013), thereby
reducing the time for surface water to reach air–sea CO<inline-formula><mml:math id="M371" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> equilibrium.
An additional cause of higher <inline-formula><mml:math id="M372" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M373" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> in the high <inline-formula><mml:math id="M374" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
region is probably low net primary production, because the concentrations of
nutrients in meltwater are low; e.g., Lee et al. (2012) reported that the
concentration of nitrate in a melt pond being formed on the top of sea ice in
the Canada Basin was low (&lt; 0.5 <inline-formula><mml:math id="M375" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>M) and that the low nitrate
concentration limited biological production in the pond. Our results
corroborate previous reports by Cai et al. (2010) and Else et al. (2013) that
the overspreading of the surface layer by sea-ice melt inhibits CO<inline-formula><mml:math id="M376" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
uptake by the ocean. Near equilibrium <inline-formula><mml:math id="M377" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> conditions
after seasonal sea-ice retreat is likely to be common in the Canada Basin.
The impact of sea-ice melt itself on <inline-formula><mml:math id="M379" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> was difficult
to resolve only from our observations. Bates et al. (2014) found both basic
(i.e., DIC <inline-formula><mml:math id="M381" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> TA &lt; 1) and relatively acidic (i.e.,
DIC <inline-formula><mml:math id="M382" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> TA &gt; 1) melt ponds in the Canada Basin. To study the impact of
meltwater on carbonate chemistry, direct sampling of sea ice into gastight
bags (Fransson et al., 2013) will be required.</p>
      <p id="d1e4640">In BCW, <inline-formula><mml:math id="M383" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> was about 270 <inline-formula><mml:math id="M385" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm on average,
between that in CSW and CBW (Fig. 3f). The fraction of freshwater indicates
that surface freshening in BCW is mainly caused by riverine outflow (<inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.11) rather than sea-ice melt (<inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.08). Riverine
outflow had a higher TA <inline-formula><mml:math id="M388" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M389" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> ratio than sea-ice melt (Fig. 2). It also has
larger content of DIC (Ulfsbo et al., 2014). In our measurements, surface
chlorophyll <inline-formula><mml:math id="M390" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> was higher in BCW (0.4 to 2.0 mg dm<inline-formula><mml:math id="M391" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> than in CBW
(0.1 to 0.3 mg dm<inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, implying that biological drawdown of DIC was
greater in BCW. Consequently, both DIC <inline-formula><mml:math id="M393" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> TA and <inline-formula><mml:math id="M394" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> in BCW
were lower than those in CBW. At the time of our observation, BCW still could
absorb more CO<inline-formula><mml:math id="M396" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> from the atmosphere than offshore CBW. This is an
important finding because river water inflow into the Arctic Ocean is
considered highly likely to increase with climate change (McClelland et al.,
2006; Déry et al., 2009).</p>
</sec>
<sec id="Ch1.S4.SS3">
  <title>Variations in the water column</title>
      <p id="d1e4789">Water properties differed not only in the surface but also in the water
column among these three. <inline-formula><mml:math id="M397" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>-</mml:mo><mml:mi>S</mml:mi></mml:mrow></mml:math></inline-formula> diagrams obtained by CTD for each subregion
are shown in Fig. 4. The surface around Point Barrow was fresh and warm; as
depth increases, the water column gradually cooled to the coldest water
around <inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 33 (Fig. 4a). A similar decrease in temperature from near the
surface to bottom was observed in the Chukchi Sea (Fig. 4b). In contrast, the
water column in the Canada Basin was more complex, with a number of
temperature maxima and minima (Fig. 4c). Jackson et al. (2010) classified the
water column in the Canada Basin from the top to the bottom into a surface
mixed layer, a near-surface temperature maximum (NSTM), a remnant of the
winter mixed layer (rWML), Pacific summer water (PSW), and Pacific winter
water (PWW). The surface mixed layer had the lowest salinity (<inline-formula><mml:math id="M399" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> &lt; 27) because almost all sea-ice melt is trapped in this layer
during summer. The NSTM is separated from the surface mixed layer by
stratification and warmed by the input of solar radiation. The depths of NSTM
ranged between 15 and 26 m during our observations. Below the NSTM, the rWML
corresponded to the temperature minimum (<inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>≈</mml:mo><mml:mo>-</mml:mo><mml:msup><mml:mn mathvariant="normal">1</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">29.3</mml:mn></mml:mrow></mml:math></inline-formula>), which was formed in the Canada Basin during the
previous winter. Another temperature maximum around <inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 30.5
corresponded to PSW, which was advected and modified in the Chukchi Sea
during summer. The lowest temperature observed was near the freezing point in
PWW at around <inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 33.1.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p id="d1e4873">Column salinity and potential temperature in <bold>(a)</bold> BCW (Barrow
coastal water), <bold>(b)</bold> CSW (Chukchi Sea water), and <bold>(c)</bold> CBW (Canada Basin
water). Water pressure is indicated by color. Gray contours indicate
potential density (<inline-formula><mml:math id="M404" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> {density <inline-formula><mml:math id="M405" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> 1} <inline-formula><mml:math id="M406" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1000 [kg m<inline-formula><mml:math id="M407" 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>]).</p></caption>
          <?xmltex \igopts{width=184.942913pt}?><graphic xlink:href="https://bg.copernicus.org/articles/14/5727/2017/bg-14-5727-2017-f04.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p id="d1e4933">Water-column profiles of <bold>(a)</bold> temperature, <bold>(b)</bold> salinity, <bold>(c)</bold> <inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
<bold>(d)</bold> <inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(e)</bold> <inline-formula><mml:math id="M410" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M411" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, and <bold>(f)</bold> apparent
oxygen utilization (AOU) along the cruise track in the period 4–11 September
2013. Data were obtained by CTD and XCTD in <bold>(a)</bold> and <bold>(b)</bold>, by oxygen sensor
SBE43 on CTD in <bold>(f)</bold> and by discrete bottle samples in <bold>(c)</bold>, <bold>(d)</bold>, and <bold>(e)</bold>.
Water types BCW (Barrow coastal water), CBW (Canada Basin water), and CSW
(Chukchi Sea water) are indicated at the top of the figure.</p></caption>
          <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://bg.copernicus.org/articles/14/5727/2017/bg-14-5727-2017-f05.png"/>

        </fig>

      <p id="d1e5022">Temperature and salinity were frequently measured along the cruise track by
CTD and XCTD sensors. Water-column profiles showed a distinct halocline from
10 to 20 dbar in BCW and CBW (Fig. 5a and b). In these two subregions, the
difference in salinity between above and below the halocline was up to 2.
Unlike the other two subregions, thermocline was more prominent than
halocline in CSW. Column variation of <inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> indicate that
both sea-ice meltwater and river outflow greatly contributed to the formation
of the halocline (Fig. 5c and d). In the Canada Basin, <inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was as high
as 0.12 <inline-formula><mml:math id="M415" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01 (<inline-formula><mml:math id="M416" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>standard deviation) in the top layer down to 10 dbar,
but decreased abruptly with depth to practically zero (0.01 <inline-formula><mml:math id="M417" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01) in
the 29–50 dbar layer. Likewise, <inline-formula><mml:math id="M418" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was also quite high (0.09 <inline-formula><mml:math id="M419" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01)
in the top layer down to 10 dbar and decreased gradually to
0.06 <inline-formula><mml:math id="M420" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02 in the 29–50 dbar layer. This vertical structure indicates
that the input of sea-ice melt occurred shortly before the measurement (at
least in summer 2013) and contributed to the formation of a discrete layer
in the surface over the main water mass in the Canada Basin, whereas river
outflow had undergone vertical mixing in the course of advection before it
reached the Canada Basin.</p>
      <p id="d1e5105"><?xmltex \hack{\newpage}?>Among these three subregions, differences were also evident in column
<inline-formula><mml:math id="M421" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>. In the upper layer (above 10 dbar) of CSW and BCW,
average <inline-formula><mml:math id="M423" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M424" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> was 195 <inline-formula><mml:math id="M425" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 11 <inline-formula><mml:math id="M426" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm and 258 <inline-formula><mml:math id="M427" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 14 <inline-formula><mml:math id="M428" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm,
respectively. As mentioned in Sect. 4.2, these low
<inline-formula><mml:math id="M429" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> values were the result of net primary production. In
these subregions, <inline-formula><mml:math id="M431" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M432" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> increased with depth below the
halocline. The water-column profile of AOU indicates that the increase in
<inline-formula><mml:math id="M433" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M434" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> was due to the input of CO<inline-formula><mml:math id="M435" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> associated with the
degradation of organic matter (Fig. 5e and f).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p id="d1e5245">Variation in several parameters of Canada Basin water against
salinity. <bold>(a)</bold> <inline-formula><mml:math id="M436" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> in discrete bottle
samples; <bold>(b)</bold> apparent oxygen utilization (AOU) from CTD cast data; <bold>(c)</bold> preformed
nDIC<inline-formula><mml:math id="M438" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">32</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M439" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> {DIC <inline-formula><mml:math id="M440" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> AOU <inline-formula><mml:math id="M441" display="inline"><mml:mrow><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">117</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">170</mml:mn><mml:mo mathvariant="italic">}</mml:mo><mml:mo>/</mml:mo><mml:mi>S</mml:mi><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">32</mml:mn></mml:mrow></mml:math></inline-formula>) in discrete bottle samples and dissolved nitrate (NO<inline-formula><mml:math id="M442" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> NO<inline-formula><mml:math id="M443" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> NH<inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in logarithmic scale in discrete samples. Salinity
of rWML (<inline-formula><mml:math id="M445" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 29.3) and PWW (<inline-formula><mml:math id="M446" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 33.1) is indicated as gray
dotted lines.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/14/5727/2017/bg-14-5727-2017-f06.pdf"/>

        </fig>

      <p id="d1e5387">Unlike the water-column profiles of <inline-formula><mml:math id="M447" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M448" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> and AOU in CSW
and BCW, those in CBW were distinctive in that they had subsurface minima. In
the top 10 dbar of CBW, <inline-formula><mml:math id="M449" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M450" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> reached 322 <inline-formula><mml:math id="M451" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 20 <inline-formula><mml:math id="M452" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm,
a value still lower than <inline-formula><mml:math id="M453" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M454" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">air</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>
(<inline-formula><mml:math id="M455" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 385 <inline-formula><mml:math id="M456" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm) but the highest among the three subregions.
However, <inline-formula><mml:math id="M457" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M458" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> decreased with depth below the halocline
and reached 271 <inline-formula><mml:math id="M459" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 31 <inline-formula><mml:math id="M460" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm in the range of
29.3 &lt; <inline-formula><mml:math id="M461" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> &lt; 31.3 (30 to 50 dbar layer; Figs. 5e and 6a). Below the halocline in
CBW, AOU was significantly negative
(&lt; <inline-formula><mml:math id="M462" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 <inline-formula><mml:math id="M463" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M464" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> like that in the CSW, where net
primary production was large (Figs. 5f and 6b). Subsurface maximum of
chlorophyll <inline-formula><mml:math id="M465" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and dissolved oxygen have also been found in the Canadian
Archipelago (Martin et al., 2010). Here, our frequent observations
facilitated classification of the water masses and their origins in the
Canada Basin. According to the salinity–AOU profile (Fig. 6b) in the
Canada Basin, AOU was largely negative
(&lt; <inline-formula><mml:math id="M466" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 <inline-formula><mml:math id="M467" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M468" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in the salinity range of 28 to
31.5, which corresponds to NSTM, rWML, and PSW. NSTM and rWML were formed in the
Canada Basin. Nitrates were almost depleted
(&lt; 0.2 <inline-formula><mml:math id="M469" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M470" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in these two layers during our
observations (Fig. 6c). Even in spring, concentration of nitrate was low
(&lt; 2 <inline-formula><mml:math id="M471" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M472" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in surface water of the Canada Basin
(Codispoti et al., 2005). Sunlight surely reaches the 50 m depth in the
Canada Basin although it is not strong (Jackson et al., 2010). Negative AOU
in NSTM and rWML indicated the large biological production utilizing the
nutrients and the sunlight. Excess oxygen produced by the biological
production remained in subsurface as it was isolated from surface by strong
halocline. Results of our measurements also showed that significant nutrients
remained in PSW, where <inline-formula><mml:math id="M473" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> &gt; 29.3 (Fig. 6c). Oversaturation of
oxygen in PSW was due to the remnant of massive biological production in
early summer and/or the production undersea during advection from the Chukchi
Sea to the Canada Basin.</p>
      <p id="d1e5635">To compare the water properties among layers, we calculated preformed
nDIC<inline-formula><mml:math id="M474" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">32</mml:mn></mml:msub></mml:math></inline-formula> as defined by the following equation.

                <disp-formula id="Ch1.E10" content-type="numbered"><mml:math id="M475" display="block"><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">Preformed</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">nDIC</mml:mi><mml:mn mathvariant="normal">32</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">DIC</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">AOU</mml:mi><mml:mo>×</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>:</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mi>S</mml:mi></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mn mathvariant="normal">32</mml:mn></mml:mrow></mml:math></disp-formula>

          Here, <inline-formula><mml:math id="M476" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>:</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> denotes stoichiometric ratio of DIC to AOU being set to
<inline-formula><mml:math id="M477" display="inline"><mml:mrow><mml:mn mathvariant="normal">117</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">170</mml:mn></mml:mrow></mml:math></inline-formula> (Anderson and Sarminento, 1994). As shown in Fig. 6d, preformed
nDIC<inline-formula><mml:math id="M478" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">32</mml:mn></mml:msub></mml:math></inline-formula> was almost constant and the highest in the water column from
surface to the depth where salinity was 29.3. This indicates that the water
above the depth where salinity was 29.3 had the same origin in the Canada
Basin. There was no clear minimum of <inline-formula><mml:math id="M479" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M480" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> in NSTM and
rWML in spite of the negative AOU and biological production.  This suggests
that the <inline-formula><mml:math id="M481" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M482" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> minimum in the PSW below was explained by
the drawdown of DIC due to biological production when the PSW was in the
surface of the Chukchi Sea, in addition to the undersea DIC drawdown. In
fact, preformed nDIC<inline-formula><mml:math id="M483" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">32</mml:mn></mml:msub></mml:math></inline-formula> in the salinity range of 29.3 to 33.1 that
corresponded to PSW and PWW from the Chukchi Sea was about lower by about 100 <inline-formula><mml:math id="M484" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M485" 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>
than in the upper layers from Canada Basin (Fig. 6d). However, we have to note that the conventional salinity normalization
like those Eq. (10) overestimates the nDIC in a source water when it
is diluted with river runoff and/or sea-ice melt that contain DIC (Friis et
al., 2013). In a stricter sense, preformed DIC in the subsurface waters of
the Canada Basin is approximated by

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M486" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">preformed</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">DIC</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">POW</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">preformed</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msub><mml:mi mathvariant="normal">DIC</mml:mi><mml:mi mathvariant="normal">POW</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E11"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><?xmltex \hack{\hspace{5mm}}?><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">DIC</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">DIC</mml:mi><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            <?xmltex \hack{\newpage}?><?xmltex \hack{\noindent}?>Preformed DIC<inline-formula><mml:math id="M487" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POW</mml:mi></mml:msub></mml:math></inline-formula> was determined to be 2170 <inline-formula><mml:math id="M488" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M489" 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>
from salinity, DIC, and AOU in temperature minimum layer (PWW). DIC<inline-formula><mml:math id="M490" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub></mml:math></inline-formula>
and DIC<inline-formula><mml:math id="M491" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub></mml:math></inline-formula> were assumed to be 300 <inline-formula><mml:math id="M492" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M493" 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> (Fransson et
al., 2013) and 800 <inline-formula><mml:math id="M494" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M495" 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> (Tank et al., 2012),
respectively. For the PSW in which salinity ranged from 29.3 to 31.5, <inline-formula><mml:math id="M496" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.01, and <inline-formula><mml:math id="M497" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.06, preformed DIC observed was 2027 <inline-formula><mml:math id="M498" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M499" 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 was lower by 34 <inline-formula><mml:math id="M500" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M501" 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>
than that calculated from Eq. (11) (2061 <inline-formula><mml:math id="M502" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M503" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>,
which suggests the biological DIC drawdown in the preformed condition of the
PSW. However, for rWML and shallower in which <inline-formula><mml:math id="M504" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> &lt; 29.3, <inline-formula><mml:math id="M505" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SIM</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.12, and <inline-formula><mml:math id="M506" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">RRO</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.09, preformed DIC observed was 1850 <inline-formula><mml:math id="M507" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M508" 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 was consistent with that calculated from Eq. (11) (1858 <inline-formula><mml:math id="M509" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M510" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. These results allowed us to
support to conclude that <inline-formula><mml:math id="M511" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M512" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> minimum in subsurface in
the Canada Basin was attributable not only to large biological drawdown of
DIC but also to lower DIC in PSW as compared with Canada Basin origin water
lying above.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <?xmltex \opttitle{Future direction of hidden CO${}_{{2}}$ sink in the Canada Basin}?><title>Future direction of hidden CO<inline-formula><mml:math id="M513" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> sink in the Canada Basin</title>
      <p id="d1e6158">How the long-term retreat of sea-ice changes the air–sea CO<inline-formula><mml:math id="M514" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> flux in
the Arctic Ocean is a controversial matter. Manizza et al. (2013) argued
that increasing SST will enhance biological primary production and drawdown
of CO<inline-formula><mml:math id="M515" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in seawater. Laruelle et al. (2014) asserted that larger ice-free
areas and longer ice-free periods will provide greater occasion for oceanic
CO<inline-formula><mml:math id="M516" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> uptake. In contrast, Cai et al. (2010) and Else et al. (2013)
insisted that the increase in sea-ice melt results in the formation of thin
surface mixed layers and limits further uptake of CO<inline-formula><mml:math id="M517" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> from the
atmosphere by this layer.</p>
      <p id="d1e6197">As a result of our observations that a subsurface minimum of
<inline-formula><mml:math id="M518" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M519" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> existed in the Canada Basin, it is necessary to
study whether the surface mixed layer there will deepen under a warming
climate. If the surface layer is stirred by strong wind and mixed with the
subsurface low <inline-formula><mml:math id="M520" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M521" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> layer, the surface will act as a
further CO<inline-formula><mml:math id="M522" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> sink. Several reports indicate that the strong wind
associated with the passage of low pressure systems deepens the surface mixed
layer and has impacts on the biogeochemistry (Wada et al., 2011; Rumyantseva
et al., 2015). Simmonds and Keay (2009) reported that the strength of
cyclones in the Arctic Ocean is increasing with the long-term reduction of
sea-ice cover. However, we also have to consider the strength of
stratification in the Canada Basin. In a comprehensive analysis of mixed
layer depth in the Arctic Ocean, Peralta-Ferriz et al. (2015) found a
significant positive correlation between the mixed layer depth and the
maximum wind speed in the preceding 5 days (4.6 <inline-formula><mml:math id="M523" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.8 m per m s<inline-formula><mml:math id="M524" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in the case that the differences in density between the mixed
layer and 20 m below (<inline-formula><mml:math id="M525" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">ρ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is smaller than 0.5 kg m<inline-formula><mml:math id="M526" 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>.
However, in the case of <inline-formula><mml:math id="M527" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">ρ</mml:mi></mml:mrow></mml:math></inline-formula> &gt; 0.5 kg m<inline-formula><mml:math id="M528" 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>,
deepening of the mixed layer is much less sensitive to the increase in wind
speed (0.77 <inline-formula><mml:math id="M529" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.52 m per m s<inline-formula><mml:math id="M530" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. In our observations, <inline-formula><mml:math id="M531" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">ρ</mml:mi></mml:mrow></mml:math></inline-formula> exceeded 2.0 kg m<inline-formula><mml:math id="M532" 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> at all CTD stations in the Canada Basin
(Fig. 4c). Hence, we suggest that additional CO<inline-formula><mml:math id="M533" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> uptake in the Canada
Basin by wind mixing is unlikely because stratification was strong even in
2013 and will be further strengthened by the additional input of sea-ice melt
in the future.</p>
      <p id="d1e6370">Climate change also affects the subsurface layer in the Canada Basin, where
low <inline-formula><mml:math id="M534" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M535" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> is caused by net primary production. McLaughlin
and Carmack (2010) reported that increase in sea-ice melt and the
strengthening of Ekman pumping deepened the nutricline and the depth of
chlorophyll maximum in the Canada Basin. Nishino et al. (2013) also observed
decreases in nitrate and chlorophyll in the 0 to 50 m depth layer in the
Canada Basin during 2002–2010; they attributed these decreases to the
decrease in inflow of nutrient-rich water from the East Siberia Sea. In
either case, biological production below the halocline of the Canada Basin is
likely to decrease in the long term. In this regard, it seems unlikely that
the subsurface low <inline-formula><mml:math id="M536" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M537" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> layer in the Canada Basin will
act as another CO<inline-formula><mml:math id="M538" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> sink.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Conclusions</title>
      <p id="d1e6428">A wide range of surface <inline-formula><mml:math id="M539" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M540" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> was observed in the western
Arctic Ocean in September 2013. The value was as low as 180 <inline-formula><mml:math id="M541" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm in
the Chukchi Sea, where biological activity was high in early summer. In
contrast, <inline-formula><mml:math id="M542" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M543" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> in the Canada Basin in September reached
360 <inline-formula><mml:math id="M544" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm, the value comparable to <inline-formula><mml:math id="M545" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M546" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">air</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>. Based on the
relationship between salinity and TA, we attributed the low-salinity water in
the Canada Basin mainly to the input of sea-ice melt. Large input of
oligotrophic sea-ice melt not only inhibits biological activity but also
facilitates to form a thin surface mixed layer that is easier to reach
equilibrium with respect to the atmospheric CO<inline-formula><mml:math id="M547" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. In the area where
mixing with riverine output was more dominant than with sea-ice melt, the
increase in <inline-formula><mml:math id="M548" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M549" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> was indistinct due to the input of
riverine nutrients and TA.</p>
      <p id="d1e6531">In the Canada Basin, <inline-formula><mml:math id="M550" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M551" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> was the lowest
(<inline-formula><mml:math id="M552" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 250 <inline-formula><mml:math id="M553" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm) under the surface mixed layer below a strong
halocline (difference in density is larger than 2.0 kg m<inline-formula><mml:math id="M554" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. This
differs from other regions where the lowest <inline-formula><mml:math id="M555" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M556" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> was
observed in the surface. This subsurface <inline-formula><mml:math id="M557" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M558" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> minimum
corresponds to PSW and is attributable to the lager net primary production
and originally lower DIC of PSW compared to those water of Canada
Basin origin. The subsurface low <inline-formula><mml:math id="M559" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M560" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> layer in the Canada
Basin has a potential to absorb CO<inline-formula><mml:math id="M561" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> from the atmosphere in the case when
it mixes with the surface by a strong turbulence. However, such an increase
of CO<inline-formula><mml:math id="M562" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> absorption is unlikely because this stratification is strong
enough to resist vertical mixing by wind. Additionally, long-term
observations in the Canada Basin suggest that subsurface biological activity
has been declining in recent decades.</p>
      <p id="d1e6659">Our observations could reveal only a part of the complex carbon cycle in the
Arctic Ocean. The subsurface <inline-formula><mml:math id="M563" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M564" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">sea</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> minimum is specific to
the Canada Basin where circulation of waters generates a complicated
water-column structure; the results here are unlikely to be applicable to the
entire Arctic Ocean. In the changing Arctic Ocean, in spite of the finding
that these subregional variations and processes are essential for better
projections of the future carbon cycle, they are not adequately reflected in
current models. The areas we can observe in the Arctic Ocean are expected to
expand along with the long-term sea-ice retreat. Comprehensive observations
are essential especially in such areas because sea-ice melt may cause other
effects that are unknown to date.</p>
</sec>

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

      <p id="d1e6685">All shipboard data are found at the Data and Sample
Research System for Whole Cruise Information in JAMSTEC (DARWIN) website
(<uri>http://www.godac.jamstec.go.jp/darwin/cruise/mirai/mr13-06_leg1/e</uri>,
Japan Agency for Marine-Earth Science and Technology, 2013).</p>
  </notes><notes notes-type="competinginterests">

      <p id="d1e6694">The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e6700">We thank the captain, officers, crew, and technical staff of R/V <italic>Mirai</italic> for their support on board. This work was financially
supported by GRENE Arctic Climate Change Research Project of the Ministry of
Education, Culture, Sports, Science and Technology of Japan. We also
acknowledge financial support from Japan Society for the Promotion of Science
KAKENHI, grant number 23241002. We appreciate  Wei-Jun Cai and an anonymous
reviewer for their valuable review comments. <?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by:  Jack Middelburg<?xmltex \hack{\newline}?>
Reviewed by: Wei-Jun Cai and one anonymous referee</p></ack><ref-list>
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    <!--<article-title-html>Low <i>p</i>CO<sub>2</sub> under sea-ice melt in the Canada Basin of  the western Arctic Ocean</article-title-html>
<abstract-html><p class="p">In September 2013, we observed an expanse of surface water with low CO<sub>2</sub>
partial pressure (<i>p</i>CO<sub>2</sub><sup>sea</sup>) (&lt; 200 µatm)
in the Chukchi Sea of the western Arctic Ocean. The large undersaturation of
CO<sub>2</sub> in this region was the result of massive primary production after
the sea-ice retreat in June and July. In the surface of the Canada Basin,
salinity was low (&lt; 27) and <i>p</i>CO<sub>2</sub><sup>sea</sup> was closer to
the air–sea CO<sub>2</sub> equilibrium ( ∼  360 µatm). From the
relationships between salinity and total alkalinity, we confirmed that the
low salinity in the Canada Basin was due to the larger fraction of meltwater
input ( ∼  0.16) rather than the riverine discharge ( ∼  0.1). Such
an increase in <i>p</i>CO<sub>2</sub><sup>sea</sup> was not so clear in the coastal
region near Point Barrow, where the fraction of riverine discharge was larger
than that of sea-ice melt. We also identified low <i>p</i>CO<sub>2</sub><sup>sea</sup>
(&lt; 250 µatm) in the depth of 30–50 m under the halocline
of the Canada Basin. This subsurface low <i>p</i>CO<sub>2</sub><sup>sea</sup> was
attributed to the advection of Pacific-origin water, in which  dissolved inorganic carbon is
relatively low, through the Chukchi Sea where net primary production is high.
Oxygen supersaturation (&gt; 20 µmol kg<sup>−1</sup>) in the
subsurface low <i>p</i>CO<sub>2</sub><sup>sea</sup> layer in the Canada Basin indicated
significant net primary production undersea and/or in preformed condition. If
these low <i>p</i>CO<sub>2</sub><sup>sea</sup> layers surface by wind mixing, they will
act as additional CO<sub>2</sub> sinks; however, this is unlikely because
intensification of stratification by sea-ice melt inhibits mixing across the
halocline.</p></abstract-html>
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