<?xml version="1.0" encoding="UTF-8"?>
<!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" xml:lang="en" 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-15-5221-2018</article-id><title-group><article-title><?xmltex \hack{\vskip 1.5mm}?>Carbonate system distribution, anthropogenic carbon and acidification in the western tropical South Pacific<?xmltex \hack{\break}?> (OUTPACE 2015 transect)</article-title><alt-title>Carbonate system in the WTSP</alt-title>
      </title-group><?xmltex \runningtitle{Carbonate system in the WTSP}?><?xmltex \runningauthor{T. Wagener et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Wagener</surname><given-names>Thibaut</given-names></name>
          <email>thibaut.wagener@univ-amu.fr</email>
        <ext-link>https://orcid.org/0000-0002-3968-0678</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Metzl</surname><given-names>Nicolas</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Caffin</surname><given-names>Mathieu</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Fin</surname><given-names>Jonathan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Helias Nunige</surname><given-names>Sandra</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Lefevre</surname><given-names>Dominique</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Lo Monaco</surname><given-names>Claire</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Rougier</surname><given-names>Gilles</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Moutin</surname><given-names>Thierry</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1297-8893</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Aix Marseille Univ, CNRS, IRD, Université de Toulon, MIO UM 110, 13288, Marseille, France</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Sorbonne Université, CNRS, IRD, MNHN, Laboratoire d'océanographie et du climat: expérimentation et approches numériques (LOCEAN), Case 100, 4 place Jussieu, 75252 Paris CEDEX 05, France</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Thibaut Wagener (thibaut.wagener@univ-amu.fr)</corresp></author-notes><pub-date><day>29</day><month>August</month><year>2018</year></pub-date>
      
      <volume>15</volume>
      <issue>16</issue>
      <fpage>5221</fpage><lpage>5236</lpage>
      <history>
        <date date-type="received"><day>9</day><month>April</month><year>2018</year></date>
           <date date-type="rev-request"><day>17</day><month>April</month><year>2018</year></date>
           <date date-type="rev-recd"><day>24</day><month>July</month><year>2018</year></date>
           <date date-type="accepted"><day>27</day><month>July</month><year>2018</year></date>
      </history>
      <permissions>
        
        
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://bg.copernicus.org/articles/15/5221/2018/bg-15-5221-2018.html">This article is available from https://bg.copernicus.org/articles/15/5221/2018/bg-15-5221-2018.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/15/5221/2018/bg-15-5221-2018.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/15/5221/2018/bg-15-5221-2018.pdf</self-uri>
      <abstract>
    <p id="d1e162">The western tropical South
Pacific was sampled along a longitudinal 4000 km transect (OUTPACE cruise,
18 February, 3 April 2015) for the measurement of carbonate parameters (total
alkalinity and total inorganic carbon) between the Melanesian Archipelago
(MA) and the western part of the South Pacific gyre (WGY). This paper reports
this new dataset and derived properties: pH on the total scale
(pH<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>) and the <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> saturation state with respect to
aragonite (<inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). We also estimate anthropogenic carbon
(<inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) distribution in the water column using the TrOCA method
(Tracer combining Oxygen, inorganic Carbon and total Alkalinity). Along the
OUTPACE transect a deeper penetration of <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the intermediate
waters was observed in the MA, whereas highest <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations were detected in the subsurface waters of the WGY. By
combining our OUTPACE dataset with data available in GLODAPv2 (1974–2009),
temporal changes in oceanic inorganic carbon were evaluated. An increase of
1.3 to 1.6 <inline-formula><mml:math id="M7" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M8" 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<inline-formula><mml:math id="M9" 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 total inorganic carbon in
the upper thermocline waters is estimated, whereas <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increases
by 1.1 to 1.2 <inline-formula><mml:math id="M11" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M12" 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<inline-formula><mml:math id="M13" 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 MA intermediate
waters (27 kg m<inline-formula><mml:math id="M14" 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> <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">27.2</mml:mn></mml:mrow></mml:math></inline-formula> kg m<inline-formula><mml:math id="M16" 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>) an
increase of 0.4 <inline-formula><mml:math id="M17" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M18" 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<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is
detected. Our results suggest a clear progression of ocean acidification in
the western tropical South Pacific with a decrease in the oceanic
pH<inline-formula><mml:math id="M21" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> of up to <inline-formula><mml:math id="M22" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0027 a<inline-formula><mml:math id="M23" 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 a shoaling of the saturation
depth for aragonite of up to 200 m since the pre-industrial period.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <?pagebreak page5222?><p id="d1e425">Human activities inject about 10 petagrams of carbon per year into the
atmosphere, which might have major consequences on climate. It is recognized
that the ocean plays a key role in the control of atmospheric <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
through uptake by the so-called “oceanic carbon pump”. Through this
“pump”, the ocean sequesters ca. 25 % of the <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> injected
annually into the atmosphere by human activities <xref ref-type="bibr" rid="bib1.bibx27" id="paren.1"/>.
A consequence of the ocean carbon uptake is a decrease in the oceanic pH
<xref ref-type="bibr" rid="bib1.bibx15" id="paren.2"/>, which is described as ocean acidification (the
so-called “other” <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> problem). Effects of ocean acidification have
been observed in marine organisms and could affect the marine ecosystems
<xref ref-type="bibr" rid="bib1.bibx39" id="paren.3"/>. Improving our understanding of the oceanic
<inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uptake relies primarily on observations of the marine carbonate
cycle. Studies on the oceanic carbonate cycle have been mostly conducted in
the framework of international programs. The World Ocean Circulation Experiment
(WOCE) and the Joint Global Flux Study (JGOFS) in the 1990s coordinated
oceanographic cruises along large sections in the ocean to collect samples
through the water column and to perform accurate measurements of carbonate
parameters and ancillary parameters (temperature, salinity, dissolved oxygen,
nutrients, etc.). Since 2000, efforts have been made to revisit oceanic sections according to the WOCE strategy in order to assess oceanic
changes at the scale of a decade. These programs have generated important
databases for oceanic carbonate chemistry <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx23" id="paren.4"><named-content content-type="pre">e.g., GLODAPv2,</named-content></xref>.</p>
      <p id="d1e487">In order to better assess the role of the ocean for the global carbon cycle,
the concept of oceanic anthropogenic carbon (<inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) has been
introduced and refers to the fraction of dissolved inorganic carbon
(<inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) in the ocean that originates from carbon injected into the atmosphere by human
activities since the industrial revolution. As
<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is not a directly measurable quantity, it can only be
estimated through assumptions that are subject to intense scientific debate
<xref ref-type="bibr" rid="bib1.bibx41" id="paren.5"/>. In particular, it has been recently
recognized that ocean circulation changes drive significant variability in
carbon uptake <xref ref-type="bibr" rid="bib1.bibx8" id="paren.6"/>. Detecting, separating and
attributing decadal changes in the carbonate system (<inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and total
alkalinity, <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and pH in the ocean at global
or regional scales remains challenging.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p id="d1e565">Map of the OUTPACE cruise transect. Melanesian Archipelago (MA)
stations are indicated by large dark green large dots and the western gyre
(WGY) stations by large dark blue dots. Stations outside of these two areas
are in gray. The station in red corresponds to the station where the deep
cast and intercomparison cast were made. Stations from the GLODAPv2 database
are indicated with small crosses: small green dots correspond to GLODAPv2
stations considered for comparison in the MA area; small blue dots correspond
to GLODAPv2 stations considered for comparison in the WGY area and small gray
dots are the other GLODAPv2 stations considered for comparison.</p></caption>
        <?xmltex \igopts{width=347.123622pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/5221/2018/bg-15-5221-2018-f01.pdf"/>

      </fig>

      <p id="d1e574">Within this context, the Pacific Ocean is a particularly challenging area to
study due to its size (ca. one-third of the Earth's and one half of the
oceanic surface). Even if, due to its remoteness from land, it remains
largely underexplored by oceanographic vessels compared to other oceanic
areas, the Pacific Ocean has been covered by cruises along long sections (the
“P sections” from the WOCE program). Most of these sections have been
revisited during the last years
<xref ref-type="bibr" rid="bib1.bibx43 bib1.bibx24" id="paren.7"><named-content content-type="pre">e.g.,</named-content></xref>. In a recent study
based on repeated sections in the Pacific (P16 at 150<inline-formula><mml:math id="M34" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W),
<xref ref-type="bibr" rid="bib1.bibx6" id="text.8"/> observed a significant increase in <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
in the top 500 m around 10–30<inline-formula><mml:math id="M36" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S and a local carbon storage
maximum around 20<inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S in recent years (between 2005 and 2014). In
this context, the OUTPACE data presented in this study, associated with
historical observations (since the pioneer 1974 GEOSECS, Geochemical Ocean Sections Program) offer a new view to
evaluate variability and decadal changes in <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
and pH<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> in the tropical Pacific, here focusing on the western
tropical South Pacific (WTSP).</p>
      <p id="d1e656">The aim of this paper is to report a new dataset of oceanic inorganic carbon
(based on measurements of <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) acquired in the
WTSP during the OUTPACE (Oligotrophic to UltTra oligotrophic PACific
Experiment) cruise performed in 2015 <xref ref-type="bibr" rid="bib1.bibx30" id="paren.9"/>. The main
focus of the OUTPACE cruise was to study the complex interactions between
planktonic organisms and the cycle of biogenic elements on different scales,
motivated by the fact that the WTSP has been identified as a hot spot of
<inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fixation <xref ref-type="bibr" rid="bib1.bibx5" id="paren.10"/>. The data presented here have
been partially used in another paper of this special issue
<xref ref-type="bibr" rid="bib1.bibx31" id="paren.11"/> in order to study the biological carbon pump in
the upper (surface to 200 m) water column. In this paper we will explore the
carbonate data between the surface and 2000 m depth. The OUTPACE transect
(Fig. 1) is close to existing WOCE and GO-SHIP (Global Ocean Ship-based Hydrographic Investigations Program) lines in the South Pacific:
it is parallel to the zonal P21 line (18<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S visited in 1994 and
2009) and the P06 line (32<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S visited in 1992, 2003 and 2010), it is
crossed by the meridional P14 line (180<inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E visited in 1994 and 2007)
and P15 line (170<inline-formula><mml:math id="M47" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W visited in 2001, 2009 and 2016), and it is
situated at the eastern side of the P16 line (150<inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W visited in
1992, 2005 and 2014). However, the OUTPACE transect does not correspond to
any earlier occupation of the “WOCE lines” in the South Pacific and no
tracers of water mass age were measured during the cruise, which limits the
possibilities of a robust analysis of <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> accumulation in the
area. Moreover, the horizontal and vertical resolution of the OUTPACE dataset
is low. In consequence, the OUTPACE dataset cannot be used to look at decadal
changes in <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> content in the South Pacific
<xref ref-type="bibr" rid="bib1.bibx6 bib1.bibx24" id="paren.12"><named-content content-type="pre">e.g.,</named-content></xref>. Here,
<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimates based on the TrOCA (Tracer combining Oxygen,
inorganic Carbon and total Alkalinity) method will be used as as a tool to
investigate changes in <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Moreover, comparing our data with the
high-quality data (internally consistent through a secondary quality control;
<xref ref-type="bibr" rid="bib1.bibx34" id="altparen.13"/>) available in the Global Ocean Data analysis
Project version 2 (GLODAPv2 database) will allow us to evaluate
<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (from TrOCA) and
pH<inline-formula><mml:math id="M56" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> trends in subsurface waters and at depth.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p id="d1e846">General description of the casts sampled for carbonate chemistry
parameters during the OUTPACE cruise.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:colspec colnum="8" colname="col8" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">Cast</oasis:entry>

         <oasis:entry colname="col2">Station</oasis:entry>

         <oasis:entry colname="col3">Longitude (<inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E)</oasis:entry>

         <oasis:entry colname="col4">Latitude (<inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N)</oasis:entry>

         <oasis:entry colname="col5">Time (UTC)</oasis:entry>

         <oasis:entry colname="col6">Max. pres. (dbar)</oasis:entry>

         <oasis:entry colname="col7">Type<inline-formula><mml:math id="M61" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col8">Rosette<inline-formula><mml:math id="M62" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry colname="col1">out_c_006</oasis:entry>

         <oasis:entry colname="col2" morerows="1">SD 1</oasis:entry>

         <oasis:entry colname="col3">159.9255</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M63" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17.9418</oasis:entry>

         <oasis:entry colname="col5">2015/02/22 03:08:00</oasis:entry>

         <oasis:entry colname="col6">202</oasis:entry>

         <oasis:entry colname="col7">SHAW</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_t_002</oasis:entry>

         <oasis:entry colname="col3">159.9425</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M64" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17.9088</oasis:entry>

         <oasis:entry colname="col5">2015/02/22 07:43:00</oasis:entry>

         <oasis:entry colname="col6">2000</oasis:entry>

         <oasis:entry colname="col7">INT</oasis:entry>

         <oasis:entry colname="col8">TMC</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_010</oasis:entry>

         <oasis:entry colname="col2" morerows="1">SD 2</oasis:entry>

         <oasis:entry colname="col3">162.1248</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M65" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.6078</oasis:entry>

         <oasis:entry colname="col5">2015/02/23 00:11:00</oasis:entry>

         <oasis:entry colname="col6">199</oasis:entry>

         <oasis:entry colname="col7">SHAW</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_016</oasis:entry>

         <oasis:entry colname="col3">162.1112</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M66" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.5845</oasis:entry>

         <oasis:entry colname="col5">2015/02/23 08:16:00</oasis:entry>

         <oasis:entry colname="col6">1998</oasis:entry>

         <oasis:entry colname="col7">INT</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_019</oasis:entry>

         <oasis:entry colname="col2" morerows="1">SD 3</oasis:entry>

         <oasis:entry colname="col3">165.0093</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M67" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.4955</oasis:entry>

         <oasis:entry colname="col5">2015/02/24 05:58:00</oasis:entry>

         <oasis:entry colname="col6">200</oasis:entry>

         <oasis:entry colname="col7">SHAW</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_020</oasis:entry>

         <oasis:entry colname="col3">165.0082</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M68" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.4907</oasis:entry>

         <oasis:entry colname="col5">2015/02/24 08:14:00</oasis:entry>

         <oasis:entry colname="col6">1999</oasis:entry>

         <oasis:entry colname="col7">INT</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_066</oasis:entry>

         <oasis:entry colname="col2" morerows="1">LD A</oasis:entry>

         <oasis:entry colname="col3">164.5877</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M69" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.2242</oasis:entry>

         <oasis:entry colname="col5">2015/03/02 14:39:00</oasis:entry>

         <oasis:entry colname="col6">200</oasis:entry>

         <oasis:entry colname="col7">SHAW</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_067</oasis:entry>

         <oasis:entry colname="col3">164.5787</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M70" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.2233</oasis:entry>

         <oasis:entry colname="col5">2015/03/02 16:10:00</oasis:entry>

         <oasis:entry colname="col6">2002</oasis:entry>

         <oasis:entry colname="col7">INT</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_070</oasis:entry>

         <oasis:entry colname="col2" morerows="1">SD 4</oasis:entry>

         <oasis:entry colname="col3">168.0118</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M71" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.9832</oasis:entry>

         <oasis:entry colname="col5">2015/03/04 10:55:00</oasis:entry>

         <oasis:entry colname="col6">201</oasis:entry>

         <oasis:entry colname="col7">SHAW</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_071</oasis:entry>

         <oasis:entry colname="col3">168.0157</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M72" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.98</oasis:entry>

         <oasis:entry colname="col5">2015/03/04 12:43:00</oasis:entry>

         <oasis:entry colname="col6">1999</oasis:entry>

         <oasis:entry colname="col7">INT</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_074</oasis:entry>

         <oasis:entry colname="col2" morerows="1">SD 5</oasis:entry>

         <oasis:entry colname="col3">169.9943</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M73" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>22.0002</oasis:entry>

         <oasis:entry colname="col5">2015/03/05 08:48:00</oasis:entry>

         <oasis:entry colname="col6">201</oasis:entry>

         <oasis:entry colname="col7">SHAW</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_075</oasis:entry>

         <oasis:entry colname="col3">169.9965</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M74" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>21.9997</oasis:entry>

         <oasis:entry colname="col5">2015/03/05 10:27:00</oasis:entry>

         <oasis:entry colname="col6">1999</oasis:entry>

         <oasis:entry colname="col7">INT</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_078</oasis:entry>

         <oasis:entry colname="col2" morerows="1">SD 6</oasis:entry>

         <oasis:entry colname="col3">172.1198</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M75" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>21.3732</oasis:entry>

         <oasis:entry colname="col5">2015/03/06 07:27:00</oasis:entry>

         <oasis:entry colname="col6">200</oasis:entry>

         <oasis:entry colname="col7">SHAW</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_079</oasis:entry>

         <oasis:entry colname="col3">172.1193</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M76" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>21.3758</oasis:entry>

         <oasis:entry colname="col5">2015/03/06 09:08:00</oasis:entry>

         <oasis:entry colname="col6">1999</oasis:entry>

         <oasis:entry colname="col7">INT</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_082</oasis:entry>

         <oasis:entry colname="col2" morerows="1">SD 7</oasis:entry>

         <oasis:entry colname="col3">174.25</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M77" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.7697</oasis:entry>

         <oasis:entry colname="col5">2015/03/07 05:09:00</oasis:entry>

         <oasis:entry colname="col6">201</oasis:entry>

         <oasis:entry colname="col7">SHAW</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_083</oasis:entry>

         <oasis:entry colname="col3">174.2512</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M78" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.7677</oasis:entry>

         <oasis:entry colname="col5">2015/03/07 06:37:00</oasis:entry>

         <oasis:entry colname="col6">2000</oasis:entry>

         <oasis:entry colname="col7">INT</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_086</oasis:entry>

         <oasis:entry colname="col2" morerows="1">SD 8</oasis:entry>

         <oasis:entry colname="col3">176.3778</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M79" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.7027</oasis:entry>

         <oasis:entry colname="col5">2015/03/08 02:31:00</oasis:entry>

         <oasis:entry colname="col6">201</oasis:entry>

         <oasis:entry colname="col7">SHAW</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_087</oasis:entry>

         <oasis:entry colname="col3">176.364</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M80" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.6945</oasis:entry>

         <oasis:entry colname="col5">2015/03/08 04:19:00</oasis:entry>

         <oasis:entry colname="col6">1997</oasis:entry>

         <oasis:entry colname="col7">INT</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_091</oasis:entry>

         <oasis:entry colname="col2" morerows="1">SD 9</oasis:entry>

         <oasis:entry colname="col3">178.6087</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M81" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.9963</oasis:entry>

         <oasis:entry colname="col5">2015/03/09 04:57:00</oasis:entry>

         <oasis:entry colname="col6">2002</oasis:entry>

         <oasis:entry colname="col7">INT</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_t_012</oasis:entry>

         <oasis:entry colname="col3">178.6062</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M82" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.9892</oasis:entry>

         <oasis:entry colname="col5">2015/03/09 06:46:00</oasis:entry>

         <oasis:entry colname="col6">201</oasis:entry>

         <oasis:entry colname="col7">SHAW</oasis:entry>

         <oasis:entry colname="col8">TMC</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_094</oasis:entry>

         <oasis:entry colname="col2" morerows="1">SD 10</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M83" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>178.5105</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M84" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.4417</oasis:entry>

         <oasis:entry colname="col5">2015/03/10 04:10:00</oasis:entry>

         <oasis:entry colname="col6">200</oasis:entry>

         <oasis:entry colname="col7">SHAW</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_095</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M85" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>178.5105</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M86" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.44</oasis:entry>

         <oasis:entry colname="col5">2015/03/10 05:48:00</oasis:entry>

         <oasis:entry colname="col6">762</oasis:entry>

         <oasis:entry colname="col7">INT</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_098</oasis:entry>

         <oasis:entry colname="col2" morerows="1">SD 11</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M87" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>175.6542</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M88" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.0028</oasis:entry>

         <oasis:entry colname="col5">2015/03/11 00:53:00</oasis:entry>

         <oasis:entry colname="col6">207</oasis:entry>

         <oasis:entry colname="col7">SHAW</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_099</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M89" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>175.6475</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M90" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.0057</oasis:entry>

         <oasis:entry colname="col5">2015/03/11 02:46:00</oasis:entry>

         <oasis:entry colname="col6">2000</oasis:entry>

         <oasis:entry colname="col7">INT</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_102</oasis:entry>

         <oasis:entry colname="col2" morerows="1">SD 12</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M91" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>172.7885</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M92" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.5237</oasis:entry>

         <oasis:entry colname="col5">2015/03/12 00:38:00</oasis:entry>

         <oasis:entry colname="col6">200</oasis:entry>

         <oasis:entry colname="col7">SHAW</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_103</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M93" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>172.7813</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M94" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.5368</oasis:entry>

         <oasis:entry colname="col5">2015/03/12 02:26:00</oasis:entry>

         <oasis:entry colname="col6">2001</oasis:entry>

         <oasis:entry colname="col7">INT</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_150</oasis:entry>

         <oasis:entry colname="col2" morerows="1">LD B</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M95" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>170.7433</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M96" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.179</oasis:entry>

         <oasis:entry colname="col5">2015/03/20 12:38:00</oasis:entry>

         <oasis:entry colname="col6">204</oasis:entry>

         <oasis:entry colname="col7">SHAW</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_151</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M97" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>170.7385</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M98" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.1745</oasis:entry>

         <oasis:entry colname="col5">2015/03/20 14:16:00</oasis:entry>

         <oasis:entry colname="col6">1997</oasis:entry>

         <oasis:entry colname="col7">INT</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_152</oasis:entry>

         <oasis:entry colname="col2">SD 13</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M99" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>169.0728</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M100" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.2007</oasis:entry>

         <oasis:entry colname="col5">2015/03/21 10:27:00</oasis:entry>

         <oasis:entry colname="col6">501</oasis:entry>

         <oasis:entry colname="col7">INT</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_163</oasis:entry>

         <oasis:entry colname="col2" morerows="3">LD C</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M101" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>165.9315</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M102" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.4282</oasis:entry>

         <oasis:entry colname="col5">2015/03/24 12:23:00</oasis:entry>

         <oasis:entry colname="col6">5027</oasis:entry>

         <oasis:entry colname="col7">DEEP</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_194</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M103" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>165.8647</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M104" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.4952</oasis:entry>

         <oasis:entry colname="col5">2015/03/28 02:01:00</oasis:entry>

         <oasis:entry colname="col6">25</oasis:entry>

         <oasis:entry colname="col7">REPRO</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_198</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M105" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>165.7915</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M106" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.4912</oasis:entry>

         <oasis:entry colname="col5">2015/03/28 12:42:00</oasis:entry>

         <oasis:entry colname="col6">298</oasis:entry>

         <oasis:entry colname="col7">SHAW</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_199</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M107" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>165.7792</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M108" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.4842</oasis:entry>

         <oasis:entry colname="col5">2015/03/28 14:32:00</oasis:entry>

         <oasis:entry colname="col6">2001</oasis:entry>

         <oasis:entry colname="col7">INT</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_209</oasis:entry>

         <oasis:entry colname="col2" morerows="1">SD 14</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M109" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>163.001</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M110" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.395</oasis:entry>

         <oasis:entry colname="col5">2015/03/30 05:19:00</oasis:entry>

         <oasis:entry colname="col6">300</oasis:entry>

         <oasis:entry colname="col7">SHAW</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_210</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M111" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>162.9992</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M112" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.3952</oasis:entry>

         <oasis:entry colname="col5">2015/03/30 07:03:00</oasis:entry>

         <oasis:entry colname="col6">2000</oasis:entry>

         <oasis:entry colname="col7">INT</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_212</oasis:entry>

         <oasis:entry colname="col2" morerows="1">SD 15</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M113" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>159.9913</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M114" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.265</oasis:entry>

         <oasis:entry colname="col5">2015/03/31 04:01:00</oasis:entry>

         <oasis:entry colname="col6">300</oasis:entry>

         <oasis:entry colname="col7">SHAW</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">out_c_213</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M115" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>159.9913</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M116" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.2618</oasis:entry>

         <oasis:entry colname="col5">2015/03/31 05:41:00</oasis:entry>

         <oasis:entry colname="col6">2002</oasis:entry>

         <oasis:entry colname="col7">INT</oasis:entry>

         <oasis:entry colname="col8">CLA</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e849"><inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> SHAW stands for casts up to 200 dbar, INT stands
for casts up to 2000 dbar, DEEP stands for the deep cast and REPRO stands
for the cast with reproducibility measurements. <inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> A CTD was
rosette used for the cast. CLA is the normal CTD rosette, and TMC is the
trace metal clean rosette (see Sect. 2.1).</p></table-wrap-foot></table-wrap>

      <p id="d1e2268">The paper is organized as follows: after describing the methods used to
acquire the dataset and the way the auxiliary data have been used in
Sect. <xref ref-type="sec" rid="Ch1.S2"/>, we briefly present the hydrographic context of the cruise
in Sect. <xref ref-type="sec" rid="Ch1.S3"/>. We then present in Sect. <xref ref-type="sec" rid="Ch1.S4"/>, the
carbonate dataset acquired during the cruise. In Sect. <xref ref-type="sec" rid="Ch1.S5"/>,
estimated <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values in the water column are presented, the
validity of these estimates based on the TrOCA method is discussed and
geographical patterns are evoked. In Sect. <xref ref-type="sec" rid="Ch1.S6"/>, the temporal
changes in oceanic inorganic carbon in the WTSP combining data available in
GLODAPv2 and our OUTPACE dataset are presented and discussed. Finally, in
Sect. <xref ref-type="sec" rid="Ch1.S7"/>, some features in relation to ocean acidification are
inferred from our dataset.</p>
</sec>
<sec id="Ch1.S2">
  <title>Material and methods</title>
<sec id="Ch1.S2.SS1">
  <title>Cruise and sampling strategy</title>
      <p id="d1e2306">The OUTPACE cruise took place between 18 February and 3 April 2015 from
Nouméa (New Caledonia) to Papeete (French Polynesia), in the WTSP on
board the French research vessel <italic>L'Atalante</italic> (Fig. <xref ref-type="fig" rid="Ch1.F1"/>). A
total of 18 stations were sampled, mostly in the top 2000 m of the water
column along a <inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">4000</mml:mn></mml:mrow></mml:math></inline-formula> km transect from Melanesia to the South Pacific gyre
<xref ref-type="bibr" rid="bib1.bibx30" id="paren.14"/>. A conductivity–temperature–depth
(CTD) rosette was deployed to acquire data with CTD and
associated sensors along vertical profiles and to collect discrete seawater
samples from twenty-four 12 L Niskin bottles for chemical analysis. Due to
technical failures on the main CTD rosette, for two of the casts considered
in this study, a trace metal clean CTD rosette (TM-R) equipped with 24
teflon-lined GO-FLO bottles devoted to trace metal analyses was used. The
configurations of both CTD rosettes are detailed elsewhere
<xref ref-type="bibr" rid="bib1.bibx30" id="paren.15"/>.</p>
      <?pagebreak page5223?><p id="d1e2330"><?xmltex \hack{\newpage}?>For carbonate parameters, seawater was sampled from 37 casts over the
18 stations. At each station, on a regular basis, samples were collected at
12 depths between the surface and 2000 m on two distinct casts: six samples
on a 0–200 m cast and six samples on a 0–2000 m cast. At station SD 13,
only one cast was sampled down to 500 m depth. In addition, at station LD C,
samples were collected at 24 depths on a deep cast (down to 5000 m) and 12
samples were collected at the same depth (25 m) on a “repeatability” cast.
Details on the casts performed for this study are summarized in
Table <xref ref-type="table" rid="Ch1.T1"/>.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Chemical measurements on discrete samples</title>
      <p id="d1e2342">All samples were collected within less than 1 h after arrival of the CTD
rosette on deck.</p>
<sec id="Ch1.S2.SS2.SSS1">
  <title>Total alkalinity and dissolved inorganic carbon</title>
      <p id="d1e2350">Samples for <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were collected in one 500 mL
borosilicate glass flask (Schott Duran<sup>®</sup>)
and poisoned with HgCl<inline-formula><mml:math id="M121" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> immediately after collection (final
concentration 20 mg L<inline-formula><mml:math id="M122" 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>). Samples were stored at 4 <inline-formula><mml:math id="M123" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C during
transport and were analyzed (within 10 days of each other) 5 months after the
end of the cruise at the SNAPO-<inline-formula><mml:math id="M124" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Service National d'Analyse des
paramètres Océaniques du <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> – LOCEAN – Paris).
<inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were measured on the same sample based on a
potentiometric titration in a closed cell <xref ref-type="bibr" rid="bib1.bibx14" id="paren.16"/>. A
nonlinear curve fitting approach was used to estimate <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from the recorded titration data
<xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx11" id="paren.17"/>. Measurements were calibrated with
certified reference material (CRM) provided by Andrew Dickson, University of
Southern California (batch 139 – <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>: <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mn mathvariant="normal">2023.23</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.70</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M132" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M133" 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 <inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>: <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mn mathvariant="normal">2250.82</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.60</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M136" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M137" 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>; see <xref ref-type="bibr" rid="bib1.bibx10" id="altparen.18"/>). The
reproducibility, expressed as the standard deviation of the CRM analysis
(<inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula>), was 4.6 <inline-formula><mml:math id="M139" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M140" 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 <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and
4.7 <inline-formula><mml:math id="M142" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M143" 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 <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Based on replicate
measurements at station LD C (cast out_c_194; see Table <xref ref-type="table" rid="Ch1.T1"/>), the
reproducibility, expressed as the standard deviation of the analysis of the
replicates collected at the same depth (ca. 25 m, <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula>) from different
Niskin bottles, was 3.6 <inline-formula><mml:math id="M146" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M147" 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 <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (average
<inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mi mathvariant="normal">value</mml:mi><mml:mo>:</mml:mo><mml:mn mathvariant="normal">2324.7</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M150" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M151" 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
3.7 <inline-formula><mml:math id="M152" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M153" 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 <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (average <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:mi mathvariant="normal">value</mml:mi><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1969.7</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M156" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M157" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>).</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <title>Oxygen concentration</title>
      <p id="d1e2788">Dissolved oxygen concentration [<inline-formula><mml:math id="M158" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] was measured following the
Winkler method <xref ref-type="bibr" rid="bib1.bibx52" id="paren.19"/> with potentiometric endpoint
detection <xref ref-type="bibr" rid="bib1.bibx35" id="paren.20"/>. For sampling, reagent preparation and
analysis, the recommendations from <xref ref-type="bibr" rid="bib1.bibx25" id="text.21"/> were
carefully followed. The thiosulfate solution was calibrated by titrating it
against a potassium iodate certified standard solution of 0.0100 N
(CSK standard solution –
WAKO<sup>™</sup>). The reproducibility, expressed as
the standard deviation of replicates samples was
0.8 <inline-formula><mml:math id="M159" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M160" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula>; average <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:mi mathvariant="normal">value</mml:mi><mml:mo>:</mml:mo><mml:mn mathvariant="normal">195.4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M163" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M164" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>).</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Vertical profiles of hydrological and biogeochemical parameters</title>
<sec id="Ch1.S2.SS3.SSS1">
  <title>CTD measurements</title>
      <p id="d1e2889">CTD measurements were ensured by a Seabird<sup>™</sup>
911<inline-formula><mml:math id="M165" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> underwater unit, which interfaced an internal pressure sensor, two
redundant external temperature probes (SBE3plus) and two redundant external
conductivity cells (SBE4C). The sensors were calibrated pre- and post-cruise
by the manufacturer. No significant drift between the redundant sensors was
observed. For vertical profiles, full-resolution data (24 Hz) were reduced
to 1 dbar binned vertical profiles on the downcast with a suite of
processing modules using the Seabird<sup>™</sup>
dedicated software (SbeDataProcessing). For values at the closure of
the Niskin bottles, values collected at 24 Hz were averaged 3 s before and
5 s after closure of the bottle. In<?pagebreak page5224?> this study, for temperature and
conductivity the signal of the first sensors has been used systematically. For
the two TM-R casts, no significant difference with the main CTD rosette on
temperature and conductivity was observed.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <title>Oxygen measurements</title>
      <p id="d1e2911">[<inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] was also measured with a SBE43 electrochemical sensor
interfaced with the CTD unit. The raw voltage was converted to oxygen
concentration with 13 calibration coefficients based on the
Seabird<sup>™</sup> methodology derived from
<xref ref-type="bibr" rid="bib1.bibx36" id="text.22"/>. Three of these coefficients (the oxygen signal slope,
the voltage at zero oxygen signal, the pressure correction factor) were
adjusted with the concentrations estimated with the Winkler method on samples
collected at the closure of the bottles. One unique set of calibration
coefficients has been applied to all oxygen profiles from the cruise because
no significant drift of the sensor was observed during the time of the
cruise. For the two TM-R casts, values have been corrected with a drift and
offset based on the comparison of 15 pairs of casts (main CTD rosette/TM-R)
collected close in time (less than 2 h) and space (less than 1 nautical
mile) over the entire OUTPACE transect.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS4">
  <title>Derived parameters</title>
      <p id="d1e2938">Practical salinity (<inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) was derived from conductivity,
temperature and pressure with the EPS-78 algorithm. Absolute salinity
(<inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), potential temperature (<inline-formula><mml:math id="M169" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula>), conservative temperature
(<inline-formula><mml:math id="M170" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>) and potential density (<inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) were derived from
<inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,<?pagebreak page5225?> temperature, pressure and the geographic position with the
TEOS-10 algorithms <xref ref-type="bibr" rid="bib1.bibx49" id="paren.23"/>. These five derived
parameters were calculated within the processing with
Seabird<sup>™</sup>  dedicated software.</p>
      <p id="d1e3006">Seawater pH on the total scale (pH<inline-formula><mml:math id="M173" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>) and the <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
saturation state with respect to aragonite (<inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) were
derived from <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with the “Seacarb” R package
<xref ref-type="bibr" rid="bib1.bibx19" id="paren.24"/>. <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> saturation state with respect
to calcite was not considered because seawater up to 2000 dbar was
supersaturated with respect to calcite (<inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">cal</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>). Following the recommendations from
<xref ref-type="bibr" rid="bib1.bibx13" id="text.25"/>, the constants for carbonic acid <inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from <xref ref-type="bibr" rid="bib1.bibx29" id="text.26"/>, the constant for hydrogen fluoride
<inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from <xref ref-type="bibr" rid="bib1.bibx37" id="text.27"/>, and the constant for hydrogen
sulfate <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from <xref ref-type="bibr" rid="bib1.bibx12" id="text.28"/> were used.
Orthophosphate and silicate concentration were considered in the calculation.
Methods for nutrient measurement are presented in detail in
<xref ref-type="bibr" rid="bib1.bibx16" id="text.29"/>. When nutrient data were not available (station
SD 8), silicate and orthophosphate were estimated from the nutrient profile
measured on cast out_c_163 (interpolated values). Apparent oxygen
utilization (AOU) was computed from the difference between oxygen solubility
(at <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> dbar, and <inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) estimated with the “Benson and Krause
coefficients” in <xref ref-type="bibr" rid="bib1.bibx18" id="text.30"/> and in situ [<inline-formula><mml:math id="M186" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>].</p>
      <p id="d1e3190">For the estimation of <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, the TrOCA method was used. The TrOCA
approach was first proposed in
<xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx47" id="text.31"/> with improvements
in <xref ref-type="bibr" rid="bib1.bibx48" id="text.32"/>. In brief, the TrOCA parameter is defined as
a combination of <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and [<inline-formula><mml:math id="M190" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] that
accounts for biologically induced relative changes among these parameters
(with constant stoichiometric ratios). TrOCA is thus a quasi-conservative
tracer derived from <inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the ocean. Within a defined water mass,
changes in TrOCA over time are independent of biology and can be attributed
to the penetration of <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. In consequence <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> can
be calculated in a parcel of water from the difference between current and
pre-industrial TrOCA (TrOCA<inline-formula><mml:math id="M194" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) divided by a stoichiometric
coefficient. The simplicity of the TrOCA method relies on the fact that a
simple formulation for TROCA<inline-formula><mml:math id="M195" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> has been proposed based on potential
temperature and alkalinity and thus an estimation of <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> can be
done by a simple calculation using <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
[<inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] and <inline-formula><mml:math id="M200" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula>. In this study, the formulation proposed in
Eq. (11) in <xref ref-type="bibr" rid="bib1.bibx48" id="text.33"/> is used to calculate
<inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and is recalled here in Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>).

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M202" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><?xmltex \hack{\hbox\bgroup\fontsize{9.1}{9.1}\selectfont$\displaystyle}?><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><?xmltex \hack{\hbox\bgroup\fontsize{9.1}{9.1}\selectfont$\displaystyle}?><mml:mo>=</mml:mo><mml:mo mathsize="2.5em">(</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.279</mml:mn><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:mi>exp⁡</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo mathsize="2.0em">(</mml:mo><mml:mn mathvariant="normal">7.511</mml:mn><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E1"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><?xmltex \hack{\hbox\bgroup\fontsize{9.1}{9.1}\selectfont$\displaystyle}?><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.087</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">7.81</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msubsup><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo mathsize="2.0em">)</mml:mo><mml:mo mathsize="2.5em">)</mml:mo><mml:mo mathsize="2.0em">/</mml:mo><mml:mn mathvariant="normal">1.279</mml:mn><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            <?xmltex \hack{\newpage}?><?xmltex \hack{\noindent}?>This formulation is based on an
adjustment of the TrOCA coefficients using <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and CFC-11
from the GLODAPv1 database <xref ref-type="bibr" rid="bib1.bibx22" id="paren.34"/>.
<xref ref-type="bibr" rid="bib1.bibx48" id="text.35"/> estimated the overall uncertainty of the
<inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with TrOCA method to be ca. 6 <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>
based on the random propagation of the uncertainties in the variables
(<inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, [<inline-formula><mml:math id="M209" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] and <inline-formula><mml:math id="M210" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula>) and coefficients
used in Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>). The limitations and validity of the TrOCA method
will be discussed in detail in Sect. <xref ref-type="sec" rid="Ch1.S5"/>.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <title>Data from available databases</title>
      <p id="d1e3599">For comparison with existing values of carbonate chemistry in the area of the
OUTPACE cruise, relevant data were extracted from GLODAPv2 database (NDP-93
– <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx23" id="altparen.36"/>). The specific data file for
the Pacific Ocean was used (downloaded from
<uri>https://www.nodc.noaa.gov/ocads/oceans/GLODAPv2/</uri>, last access:
14 December 2017). For comparison with OUTPACE data, GLODAPv2 data were
selected between 22 and 17<inline-formula><mml:math id="M211" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S and between 159<inline-formula><mml:math id="M212" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E and
159<inline-formula><mml:math id="M213" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W (going westwards). For specific comparisons in the
MA and the South Pacific western
gyre waters (WGY) a zonal subset of the extracted data was used:
159<inline-formula><mml:math id="M214" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E and 178<inline-formula><mml:math id="M215" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W for MA and 170 to 159<inline-formula><mml:math id="M216" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W for WGY
(see Fig. <xref ref-type="fig" rid="Ch1.F1"/>).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Hydrological context along the OUTPACE transect</title>
      <p id="d1e3672">The hydrological context encountered during the OUTPACE transect is presented
with a <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:mi mathvariant="normal">Θ</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> diagram between 0 and 2000 dbar in Fig. <xref ref-type="fig" rid="Ch1.F2"/>. A detailed description of the water masses encountered
during the OUTPACE cruise can be found in <xref ref-type="bibr" rid="bib1.bibx16" id="text.37"/>.
Briefly, from the surface to 2000 dbar, the following features are
distinguished: the surface waters (<inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">23.5</mml:mn></mml:mrow></mml:math></inline-formula> kg m<inline-formula><mml:math id="M219" 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>)
were characterized by temperatures over 25 <inline-formula><mml:math id="M220" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C with increasing
temperature and salinity towards the east and AOU close to zero. Under
the surface water, the upper thermocline waters (UTW) presented a maximum in
salinity, reaching values higher than 36 g kg<inline-formula><mml:math id="M221" 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 eastern part of
the cruise. In the lower thermocline waters, <inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> decreased with
depth with a more pronounced decrease in the eastern part than in the western
part, whereas AOU is higher in the eastern part than in the western part of
the studied area. These differences in lower thermocline waters have been
described for South Pacific Central Waters (SPCW) with more saline western
(WSPCW) and less saline eastern (ESPCW) waters <xref ref-type="bibr" rid="bib1.bibx45" id="paren.38"/>.
Below the thermocline, intermediate waters are made up of Subantarctic
Mode Waters (SAMW) and Antarctic Intermediate Waters (AAIWs). AAIWs have a
salinity minimum close to the <inline-formula><mml:math id="M223" 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:mn mathvariant="normal">27</mml:mn></mml:mrow></mml:math></inline-formula> kg m<inline-formula><mml:math id="M224" 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> isopycnal.
<xref ref-type="bibr" rid="bib1.bibx21" id="text.39"/> defines SAMW as having <inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values
between 26.80 and 27.06 kg m<inline-formula><mml:math id="M226" 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>, corresponding to a minimum in potential
vorticity, and AAIW as having <inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values between 27.06 and
27.40 kg m<inline-formula><mml:math id="M228" 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>. The separation of both waters is not trivial in the
subtropical area.<?pagebreak page5226?> SAMW is generally associated with lower AOU than AAIW.
Finally, deep waters made up of Upper Circumpolar Deep Waters (UCDW)
correspond to an increase in salinity and AOU for depth corresponding to
<inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">27.4</mml:mn></mml:mrow></mml:math></inline-formula> kg m<inline-formula><mml:math id="M230" 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>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p id="d1e3865"><inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:mi mathvariant="normal">Θ</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> diagram with colors indicating the AOU.
Black contour lines represent the isopycnal horizons based on potential
density referenced to a pressure of 0 dbar (<inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>).</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/5221/2018/bg-15-5221-2018-f02.pdf"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p id="d1e3901">Longitudinal variations in <bold>(a)</bold> <inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
<bold>(b)</bold> <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(c)</bold> pH<inline-formula><mml:math id="M235" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> and
<bold>(d)</bold> <inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> along the OUTPACE transect between the
surface and 2000 dbar depth. Black contour lines represent the isopycnal
horizons based on potential density referenced to a pressure of 0 dbar.
Vertical profiles of <bold>(e)</bold> <inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
<bold>(f)</bold> <inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mi mathvariant="normal">T</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>n</mml:mi><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and
<bold>(g)</bold> <inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of the entire OUTPACE dataset (red dots)
superimposed on the GLODAPv2 data corresponding to the OUTPACE area (gray
dots).</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/5221/2018/bg-15-5221-2018-f03.pdf"/>

      </fig>

      <p id="d1e4015">In this study, discussion will sometimes make a distinction between two
subregions along the OUTPACE transect: MA and WGY (see
Sect. <xref ref-type="sec" rid="Ch1.S2.SS5"/> for definition). This distinction is mainly based on
geographic and oceanographic arguments. Indeed, these two subregions are
geographically separated by the Tonga volcanic arc. WGY is characterized by
higher surface temperature and a higher salinity in the upper thermocline
waters than MA. The difference between these subregions is evidenced by the
difference in oligotrophy <xref ref-type="bibr" rid="bib1.bibx31" id="paren.40"/>. Due to specific
conditions in the transition area between the MA and WGY
<xref ref-type="bibr" rid="bib1.bibx7" id="paren.41"/>, SD 11, SD 12 and LD B were discarded from both
groups in this study following the arguments in <xref ref-type="bibr" rid="bib1.bibx31" id="text.42"/>.</p>
</sec>
<sec id="Ch1.S4">
  <title>Carbonate chemistry along the OUTPACE transect</title>
      <p id="d1e4036"><inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> measured along the OUTPACE transect are
presented in Fig. <xref ref-type="fig" rid="Ch1.F3"/>a and b. All vertical profiles for
<inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> normalized to <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula> g kg<inline-formula><mml:math id="M245" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mi mathvariant="normal">T</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>n</mml:mi><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are presented in
Fig. <xref ref-type="fig" rid="Ch1.F3"/>e, f and g. <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ranged between 2300 and
2400 <inline-formula><mml:math id="M249" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M250" 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>. Below the surface, a pronounced maximum in
<inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was observed associated with the saltier upper thermocline
waters. When normalized to <inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula> g kg<inline-formula><mml:math id="M253" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
<inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mi mathvariant="normal">T</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>n</mml:mi><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values are remarkably constant in the upper 500 dbar
with values between 2270 and 2310 <inline-formula><mml:math id="M255" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M256" 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>. Below 500 dbar,
<inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increases with depth up to ca. 2400 <inline-formula><mml:math id="M258" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M259" 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>
indicating that alkalinity changes are mostly due to salinity changes in the
upper water column, whereas the increase in the deep waters is mainly due to
carbonate biomineral remineralization. <inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values are close to
1950 <inline-formula><mml:math id="M261" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M262" 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 surface and increase with depth up to
2300 <inline-formula><mml:math id="M263" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M264" 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> at 2000 dbar. The <inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> gradient in
the upper water column has been described in <xref ref-type="bibr" rid="bib1.bibx31" id="text.43"/>.
Below 2000 dbar, <inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is relatively invariant with slightly lower
values in the bottom waters (below 4000 dbar) due to the presence of very
old deep waters originating from the North Pacific relative to the northward
moving bottom waters that have not accumulated as much carbon
<xref ref-type="bibr" rid="bib1.bibx32" id="paren.44"/>. <inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values in deep
waters measured during OUTPACE are in good agreement with the data of the
GLODAPv2 database (Fig. <xref ref-type="fig" rid="Ch1.F3"/>e, f and g). No systematic adjustment of
the OUTPACE dataset with the GLODAPv2 dataset was performed because only very
few data are available in the deep ocean where crossover comparison can be
performed for cruises carried out in different decades. Nevertheless, for the
only “deep” cast performed during OUTPACE (out_c_163 at station LD C), we
performed a simple crossover analysis with the station 189 (located at
107 km kilometers from OUTPACE station LD C) of the Japanese “P21
revisited” cruise in 2009. We compared interpolated profiles on density
surfaces values (27.75 kg m<inline-formula><mml:math id="M269" 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> <inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">27.83</mml:mn></mml:mrow></mml:math></inline-formula> kg m<inline-formula><mml:math id="M271" 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> corresponding to pressure levels of ca. 3000 to
5500 dbar). The estimated offsets are <inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M273" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M274" 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 <inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M277" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M278" 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 <inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> suggesting measurement
biases are likely no larger. This simple quality control procedure seems to
indicate that no systematic adjustment is needed.</p>
      <p id="d1e4512">Derived parameters from the <inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> measurements
are presented in Fig. <xref ref-type="fig" rid="Ch1.F3"/>c for pH<inline-formula><mml:math id="M282" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> values (estimated at in
situ temperature and pressure). pH<inline-formula><mml:math id="M283" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> decreases from values close
to 8.06 in surface to values close to 7.84 at 2000 m. Surface values of
pH<inline-formula><mml:math id="M284" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> are typical of subtropical warm waters and are in a similar
range as the austral summer values estimated by
<xref ref-type="bibr" rid="bib1.bibx44" id="text.45"/> in this area (8.06–8.08).
Figure <xref ref-type="fig" rid="Ch1.F3"/>d represents the vertical distribution of computed values of
<inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> along the OUTPACE transect. Seawater is supersaturated
with respect to aragonite (<inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>) at the surface with
<inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values of ca. 4.0 again in good agreement with the
austral summer values of 4–4.4 estimated by
<xref ref-type="bibr" rid="bib1.bibx44" id="text.46"/> in this area. Values of
<inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> decrease with depth, and seawater becomes undersaturated
with respect to aragonite (<inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>) at an horizon situated
below 1000 dbar in the west and above 1000 dbar in the eastern part of the
cruise, with a general shoaling of the <inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values from west
to east, in good agreement with a previous study by
<xref ref-type="bibr" rid="bib1.bibx33" id="text.47"/> in this area.</p>
</sec>
<sec id="Ch1.S5">
  <title>Anthropogenic carbon estimation along the OUTPACE transect</title>
      <p id="d1e4659">The TrOCA method is a way to quantify <inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the ocean based on
<inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, [<inline-formula><mml:math id="M294" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] and <inline-formula><mml:math id="M295" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula>. This method has
been used and compared to other methods in different oceanic areas (e.g.,
<xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx1" id="altparen.48"/>;
<?xmltex \hack{\mbox\bgroup}?><xref ref-type="bibr" rid="bib1.bibx50" id="altparen.49"/><?xmltex \hack{\egroup}?>). Based<?pagebreak page5227?> on specific
<inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> inventories in the water column, the TrOCA method reasonably
agreed with the other methods (including the transient tracer-based method).
However, <xref ref-type="bibr" rid="bib1.bibx53" id="text.50"/> “tested” the TrOCA method within an
ocean general circulation model and argued that the use of globally uniform
parameterization for the estimation of the pre-industrial TrOCA is a source
of significant overestimation but also that even with regionally “tuned”
parameters a global positive bias in the method exists. As no tracers of
water mass age were measured during the OUTPACE cruise, the main motivation
for using the TrOCA method was to make <inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimations based on
a simple calculation from parameters acquired within the cruise as done in
other cruises conducted in tropical South Pacific waters
<xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx17" id="paren.51"><named-content content-type="pre">e.g.,</named-content></xref>. Even if
<inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimates from TrOCA are biased, the application of a simple
back-calculation method that accounts for biologically induced relative
changes in <inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is used here to identify some spatial features in
the distribution of the carbonate system along the OUTPACE transect. Here, an
error in the TrOCA <inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimates of 67 % will be considered
based on the standard deviation for the TrOCA variant optimized with world
ocean data and normalized such that standard deviation in the simulated
<inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the ocean general circulation model is exactly 1 (see
Table 2 in <xref ref-type="bibr" rid="bib1.bibx53" id="altparen.52"/>).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p id="d1e4802">Longitudinal variations in <inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (estimated with the
TrOCA method) along the OUTPACE transect between 100 and
2000 dbar depth <bold>(a)</bold>.
Black contour lines represents the isopycnal horizons based on potential
density referenced to a pressure of 0 dbar. Vertical profiles of
<inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for the entire OUTPACE dataset superimposed on the values
estimated from the GLODAPv2 data <bold>(b)</bold> and vertical profiles of
<inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> between 100 and 1500 dbar superimposed on the values estimated from the recent (after 2005)
GLODAPv2 data <bold>(c)</bold>. The color code for the dots is the same as for
Fig. <xref ref-type="fig" rid="Ch1.F1"/>.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/5221/2018/bg-15-5221-2018-f04.pdf"/>

      </fig>

      <p id="d1e4856">As mentioned by <xref ref-type="bibr" rid="bib1.bibx48" id="text.53"/>, <inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimates
cannot be considered within the mixed layer because the underlying hypotheses
used in the formulation of TrOCA may not be verified due to biological
activity and gas transfers across the air–sea interface. To avoid this
issue, <inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimates are generally used below the “permanent”
mixed layer depth <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx6" id="paren.54"><named-content content-type="pre">e.g.,</named-content></xref>.
For the OUTPACE area, <xref ref-type="bibr" rid="bib1.bibx31" id="text.55"/> show that the mixed<?pagebreak page5228?> layer
depth does not exceed 70 m in the area. Even if the depths of the deep
chlorophyll maximum were encountered below 100 dbar along the transect, we
will consider <inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values up to 100 dbar. It can be mentioned
that the <inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values of 50–60 <inline-formula><mml:math id="M309" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M310" 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
top of the water column (100 dbar) are in reasonable agreement with a rough
estimate of thermodynamically consistent <inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> changes: by assuming that
<inline-formula><mml:math id="M312" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in surface seawater is in equilibrium with the atmosphere, we
estimated that with a partial pressure of <inline-formula><mml:math id="M313" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M314" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)
of 280 <inline-formula><mml:math id="M315" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm in the pre-industrial period, a <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
of 380 <inline-formula><mml:math id="M317" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm during OUTPACE <xref ref-type="bibr" rid="bib1.bibx31" id="paren.56"/> and a
constant <inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> over time of 2300 <inline-formula><mml:math id="M319" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M320" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
<inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> change in surface waters between the pre-industrial period and 2015 is ca. 65 <inline-formula><mml:math id="M322" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M323" 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 a temperature of surface waters between
25 and 28 <inline-formula><mml:math id="M324" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. For OUTPACE, <inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimates below
1000 dbar were not significantly different from 0 <inline-formula><mml:math id="M326" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M327" 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 standard deviation of 6.3 <inline-formula><mml:math id="M328" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M329" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p id="d1e5134">Temporal evolution in the OUTPACE area of <inline-formula><mml:math id="M330" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(a, d)</bold>, <inline-formula><mml:math id="M331" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(b, e)</bold> and pH<inline-formula><mml:math id="M332" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">Tinsi</mml:mi></mml:msub></mml:math></inline-formula> <bold>(c, f)</bold>
based on GLODAPv2 and OUTPACE data along two isopycnal layers:
25–25.5 kg m<inline-formula><mml:math id="M333" 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> <bold>(a, b, c)</bold> and
27–27.2 kg m<inline-formula><mml:math id="M334" 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> <bold>(d, e, f)</bold>. The color code for the dots is the
same as for Fig. <xref ref-type="fig" rid="Ch1.F1"/>.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/5221/2018/bg-15-5221-2018-f05.pdf"/>

      </fig>

      <p id="d1e5216"><inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> distribution along the OUTPACE transect is presented in Fig. <xref ref-type="fig" rid="Ch1.F4"/>a, and all vertical profiles for <inline-formula><mml:math id="M336" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are presented
in Fig. <xref ref-type="fig" rid="Ch1.F4"/>b with a more detailed view of the first 1500 dbar of the
water column in Fig. <xref ref-type="fig" rid="Ch1.F4"/>c. Figure <xref ref-type="fig" rid="Ch1.F4"/>b and c distinguish values
from the MA and the WGY area. The <inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> vertical profiles suggest
a penetration of anthropogenic carbon up to 1000 dbar. As mentioned before,
estimated values of <inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> reach values of <inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:mn mathvariant="normal">60</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M340" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M341" 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> at a depth of 100 dbar; <inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> then regularly decreases
to values close to 10–<inline-formula><mml:math id="M343" display="inline"><mml:mrow><mml:mn mathvariant="normal">20</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M344" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M345" 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> at a depth of
1000 dbar and reaches values close to 0 <inline-formula><mml:math id="M346" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M347" 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> below
1500 dbar. The zonal <inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> section along the OUTPACE transect
(Fig. <xref ref-type="fig" rid="Ch1.F4"/>a) presents two features: (1) a deeper penetration of
<inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the western part of the transect with values of
<inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> reaching <inline-formula><mml:math id="M351" display="inline"><mml:mrow><mml:mn mathvariant="normal">40</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> <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> around the
isopycnal layer of 27 kg m<inline-formula><mml:math id="M354" 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> (ca. 700 dbar) with a coherent behavior
with the distribution of AOU and (2) a larger accumulation of
<inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the eastern part of the transect centered around the
isopycnal layer of 25 kg m<inline-formula><mml:math id="M356" 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> (ca. 200 dbar).</p>
      <?pagebreak page5229?><p id="d1e5467">Several studies have identified deeper <inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> penetration in the
western South Pacific than in the eastern South Pacific at tropical and
subtropical latitudes. The primary reason for this longitudinal difference
might be associated with deeper convection in the western part and upwelling
in the eastern part. AAIW has been described as the lower limit of the
penetration of <inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the ocean interior of the South Pacific
<xref ref-type="bibr" rid="bib1.bibx42" id="paren.57"/>. Moreover, a recent study by
<?xmltex \hack{\mbox\bgroup}?><xref ref-type="bibr" rid="bib1.bibx8" id="text.58"/><?xmltex \hack{\egroup}?> shows that ocean circulation variability
is the primary driver for changes in oceanic <inline-formula><mml:math id="M359" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uptake at decadal
scales. Based on <inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> changes between the two repeated visits of
the longitudinal P21 line (18<inline-formula><mml:math id="M361" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S close to the OUTPACE transect) in
1994 and 2009, <xref ref-type="bibr" rid="bib1.bibx24" id="text.59"/> show a faster increase in
<inline-formula><mml:math id="M362" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the western part than in the eastern part of the section.
They also postulate that <inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> may have been transported by deep
circulation associated with the AAIW. In the subtropical Pacific along the
P06 line (longitudinal section at ca. 32<inline-formula><mml:math id="M364" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S),
<xref ref-type="bibr" rid="bib1.bibx32" id="text.60"/> also identified an increase in <inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
in the SAMW and AAIW. <xref ref-type="bibr" rid="bib1.bibx51" id="text.61"/> attribute the deeper
penetration of <inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the western part of the section to the
local formation of subtropical mode water in the area based on the extended
multiple linear regression (eMLR) method along the P06 line (and taking into
account a third visit).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p id="d1e5598">Estimated trends on <inline-formula><mml:math id="M367" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, [<inline-formula><mml:math id="M368" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>], <inline-formula><mml:math id="M369" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ,
<inline-formula><mml:math id="M370" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and pH<inline-formula><mml:math id="M371" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> changes in two different layers of the
water column defined by isopycnal layers between 1980 and 2015 based on
GLODAPv2 with (column WITH) and without (column WITHOUT) OUTPACE data added.
Estimated trends are obtained from slope values of a linear regression
between the studied parameters and time.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.95}[.95]?><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right" colsep="1"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center" colsep="1">25 kg m<inline-formula><mml:math id="M374" 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>&lt;</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">25.5</mml:mn></mml:mrow></mml:math></inline-formula> kg m<inline-formula><mml:math id="M375" 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></oasis:entry>
         <oasis:entry rowsep="1" namest="col4" nameend="col5" align="center">27 kg m<inline-formula><mml:math id="M376" 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>&lt;</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">27.2</mml:mn></mml:mrow></mml:math></inline-formula> kg m<inline-formula><mml:math id="M377" 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></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">WITH</oasis:entry>
         <oasis:entry colname="col3">WITHOUT</oasis:entry>
         <oasis:entry colname="col4">WITH</oasis:entry>
         <oasis:entry colname="col5">WITHOUT</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col5">Trend on <inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in <inline-formula><mml:math id="M379" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M380" 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<inline-formula><mml:math id="M381" 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:row>
       <oasis:row>
         <oasis:entry colname="col1">OUTPACE</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.20</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M383" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">167</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M384" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.30</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">142</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M387" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.12</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M389" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">180</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M391" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">174</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MA</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.30</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M393" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">85</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M394" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.47</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M396" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M397" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.16</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M399" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">99</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">92</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">WGY</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.20</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.14</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M404" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.20</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.19</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M405" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">22</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.20</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.14</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">31</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col5">Trend on [<inline-formula><mml:math id="M410" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] in <inline-formula><mml:math id="M411" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M412" 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<inline-formula><mml:math id="M413" 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:row>
       <oasis:row>
         <oasis:entry colname="col1">OUTPACE</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.31</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">167</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M416" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M417" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.61</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M418" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">143</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M419" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M420" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.05</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.11</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M421" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">183</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.07</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">178</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MA</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M424" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.35</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.16</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M425" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">84</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M426" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.78</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.17</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M428" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M429" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.06</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.11</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M431" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">99</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M432" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.04</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.11</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M433" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">93</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">WGY</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M434" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.38</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.11</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M435" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">27</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M436" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.35</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.14</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">23</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M439" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M440" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.11</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.30</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M441" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">38</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M442" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.22</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.29</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M443" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">34</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col5">Trend on <inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in <inline-formula><mml:math id="M445" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M446" 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<inline-formula><mml:math id="M447" 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:row>
       <oasis:row>
         <oasis:entry colname="col1">OUTPACE</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M448" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.32</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M449" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">174</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M450" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.63</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M452" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">149</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M453" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M454" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.23</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M455" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">189</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M456" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.27</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.11</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M457" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">183</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M458" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MA</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M459" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.38</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.21</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M460" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">85</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M461" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M462" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.87</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.21</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M463" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M464" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M465" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.31</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.16</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M466" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M467" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.44</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.17</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M468" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">93</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M469" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">WGY</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M470" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.57</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.18</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M471" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">31</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M472" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M473" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.57</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.23</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M474" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M475" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M476" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.23</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.29</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M477" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M478" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.23</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.29</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M479" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">36</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col5">Trend on <inline-formula><mml:math id="M480" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in <inline-formula><mml:math id="M481" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M482" 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<inline-formula><mml:math id="M483" 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:row>
       <oasis:row>
         <oasis:entry colname="col1">OUTPACE</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M484" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.12</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M485" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">166</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M486" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M487" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.25</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M488" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">142</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M489" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M490" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.32</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M491" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">179</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M492" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M493" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.25</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M494" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">174</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M495" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MA</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M496" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.18</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M497" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">84</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M498" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M499" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.31</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M500" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M501" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M502" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.40</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M503" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">98</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M504" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M505" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.40</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M506" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">92</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M507" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">WGY</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M508" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.20</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M509" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M510" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M511" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.18</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M512" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">22</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M513" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M514" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.13</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M515" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M516" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.11</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M517" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">31</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col5">Trend on pH<inline-formula><mml:math id="M518" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">TINSI</mml:mi></mml:msub></mml:math></inline-formula> in a<inline-formula><mml:math id="M519" 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:row>
       <oasis:row>
         <oasis:entry colname="col1">OUTPACE</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M520" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0022</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0003</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M521" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">167</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M522" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M523" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0031</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0002</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M524" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">142</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M525" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M526" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0003</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M527" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">181</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M528" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0002</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0002</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M529" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">175</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MA</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M530" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0022</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0004</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M531" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">85</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M532" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M533" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0033</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0004</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M534" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M535" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M536" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0004</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0003</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M537" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M538" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0007</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0003</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M539" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">93</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M540" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">WGY</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M541" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0027</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0004</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M542" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M543" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M544" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0030</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0004</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M545" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">22</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M546" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M547" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.00008</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0006</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M548" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M549" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0007</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0006</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M550" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">31</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><table-wrap-foot><p id="d1e5654"><inline-formula><mml:math id="M372" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula> Trend significant (<inline-formula><mml:math id="M373" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mtext> level</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>).</p></table-wrap-foot></table-wrap>

      <?pagebreak page5230?><p id="d1e8010">In the eastern part of the OUTPACE cruise, the detected accumulation of
<inline-formula><mml:math id="M551" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the upper thermocline waters may be related to recent
observations of a significant accumulation of <inline-formula><mml:math id="M552" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at latitudes
around 20<inline-formula><mml:math id="M553" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S on the P16 meridional transect along 150<inline-formula><mml:math id="M554" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W by
<xref ref-type="bibr" rid="bib1.bibx6" id="text.62"/>. This change in <inline-formula><mml:math id="M555" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> accumulation is
attributed to changes in the degree of the water mass ventilation due to
variability in a southern Pacific subtropical cell. Along the P16 line,
<?xmltex \hack{\mbox\bgroup}?><xref ref-type="bibr" rid="bib1.bibx6" id="text.63"/><?xmltex \hack{\egroup}?> observed high values of <inline-formula><mml:math id="M556" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (up
to 60 <inline-formula><mml:math id="M557" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M558" 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 upper water column at the latitude
of the OUTPACE area in good agreement with our estimates in WGY in the upper
water column. Finally, it should also be mentioned that, due to the presence
of one of the main oxygen minimum zone (OMZ) area, denitrification occurs in
the eastern South Pacific and can be traced by the <inline-formula><mml:math id="M559" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> parameter
<xref ref-type="bibr" rid="bib1.bibx20" id="paren.64"/>. Denitrification, by transforming organic carbon
to inorganic carbon without the consumption of oxygen, could induce an
overestimation of <inline-formula><mml:math id="M560" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> by the TrOCA method (and other
back-calculation methods) due to a biological release of <inline-formula><mml:math id="M561" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> that
is not taken into account in the formulation of the quasi-conservative TrOCA
tracer. Horizontal advection by the south equatorial current of the strong
negative <inline-formula><mml:math id="M562" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> signal originating from the eastern Pacific towards the
western Pacific has been described previously
<xref ref-type="bibr" rid="bib1.bibx54" id="paren.65"/>. <xref ref-type="bibr" rid="bib1.bibx16" id="text.66"/> have estimated
<inline-formula><mml:math id="M563" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> along the OUTPACE transect and show slightly negative <inline-formula><mml:math id="M564" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> values in
the upper thermocline waters at the eastern side of the OUTPACE transect
where the highest <inline-formula><mml:math id="M565" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values are estimated. However,
<xref ref-type="bibr" rid="bib1.bibx33" id="text.67"/> showed that, based on a direct relation between
<inline-formula><mml:math id="M566" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M567" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, the influence of denitrification should be
negligible on <inline-formula><mml:math id="M568" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimations in this area. Therefore, the <inline-formula><mml:math id="M569" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>
correction has not been introduced in the <inline-formula><mml:math id="M570" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimates and the
effect of denitrification was not quantified here.</p>
</sec>
<sec id="Ch1.S6">
  <title>Temporal changes in carbonate chemistry in the OUTPACE area</title>
      <p id="d1e8256">Based on the available GLODAPv2 data, temporal changes in the OUTPACE area
have been assessed (Fig. <xref ref-type="fig" rid="Ch1.F5"/> and Table <xref ref-type="table" rid="Ch1.T2"/>). The variation in
oceanic parameters with time is estimated on two isopycnal layers: a layer
with 25 kg m<inline-formula><mml:math id="M571" 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>&lt;</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">25.5</mml:mn></mml:mrow></mml:math></inline-formula> kg m<inline-formula><mml:math id="M572" 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> (hereafter named
<inline-formula><mml:math id="M573" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) and a layer with 27 kg m<inline-formula><mml:math id="M574" 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>&lt;</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">27.2</mml:mn></mml:mrow></mml:math></inline-formula> kg m<inline-formula><mml:math id="M575" 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> (hereafter named <inline-formula><mml:math id="M576" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">27</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>). These two layers
correspond to the features in <inline-formula><mml:math id="M577" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> discussed in the previous
section. <inline-formula><mml:math id="M578" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> can be considered characteristic of the upper
thermocline waters (core of the salinity maximum, Fig. <xref ref-type="fig" rid="Ch1.F2"/>), whereas
<inline-formula><mml:math id="M579" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">27</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> can be considered characteristic of intermediate waters
of southern origin (core of the salinity minimum). All the values associated
with these two layers are spread between 145 and 301 dbar for
<inline-formula><mml:math id="M580" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and between 571 and 896 dbar for <inline-formula><mml:math id="M581" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">27</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>. It
must be mentioned that the study of temporal changes is based on a large
sampling grid, which covers the entire OUTPACE transect (see
Sect. <xref ref-type="sec" rid="Ch1.S2.SS5"/> and Fig. <xref ref-type="fig" rid="Ch1.F1"/>). This could add a spatial
variability that may interfere in the estimation of temporal changes.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p id="d1e8442">Estimated depth of the <inline-formula><mml:math id="M582" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> horizon along the
OUTPACE cruise (see text for details). No values are available for stations
where data up to 2000 dbar were not available (SD2 and SD13). No values were
estimated for stations with <inline-formula><mml:math id="M583" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M584" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M585" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <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:thead>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">Station</oasis:entry>

         <oasis:entry rowsep="1" colname="col2" morerows="1">Longitude (<inline-formula><mml:math id="M588" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E)</oasis:entry>

         <oasis:entry rowsep="1" colname="col3" morerows="1">Latitude (<inline-formula><mml:math id="M589" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N)</oasis:entry>

         <oasis:entry namest="col4" nameend="col6" align="center">Depth of the  <inline-formula><mml:math id="M590" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> horizon (in m) </oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col4">OUTPACE</oasis:entry>

         <oasis:entry colname="col5">Pre-ind.</oasis:entry>

         <oasis:entry colname="col6">Difference<inline-formula><mml:math id="M591" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry colname="col1">SD 1</oasis:entry>

         <oasis:entry colname="col2">159.9425</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M592" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17.9088</oasis:entry>

         <oasis:entry colname="col4">1225</oasis:entry>

         <oasis:entry colname="col5">NA</oasis:entry>

         <oasis:entry colname="col6">NA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">SD 2</oasis:entry>

         <oasis:entry colname="col2">162.1248</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M593" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.6078</oasis:entry>

         <oasis:entry colname="col4">NA</oasis:entry>

         <oasis:entry colname="col5">NA</oasis:entry>

         <oasis:entry colname="col6">NA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">SD 3</oasis:entry>

         <oasis:entry colname="col2">165.0082</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M594" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.4907</oasis:entry>

         <oasis:entry colname="col4">928</oasis:entry>

         <oasis:entry colname="col5">NA</oasis:entry>

         <oasis:entry colname="col6">NA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">LD A</oasis:entry>

         <oasis:entry colname="col2">164.5787</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M595" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.2233</oasis:entry>

         <oasis:entry colname="col4">1032</oasis:entry>

         <oasis:entry colname="col5">1185</oasis:entry>

         <oasis:entry colname="col6">153</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">SD 4</oasis:entry>

         <oasis:entry colname="col2">168.0157</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M596" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.98</oasis:entry>

         <oasis:entry colname="col4">1029</oasis:entry>

         <oasis:entry colname="col5">1193</oasis:entry>

         <oasis:entry colname="col6">164</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">SD 5</oasis:entry>

         <oasis:entry colname="col2">169.9965</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M597" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>21.9997</oasis:entry>

         <oasis:entry colname="col4">1126</oasis:entry>

         <oasis:entry colname="col5">1256</oasis:entry>

         <oasis:entry colname="col6">130</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">SD 6</oasis:entry>

         <oasis:entry colname="col2">172.1193</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M598" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>21.3758</oasis:entry>

         <oasis:entry colname="col4">1097</oasis:entry>

         <oasis:entry colname="col5">1233</oasis:entry>

         <oasis:entry colname="col6">136</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">SD 7</oasis:entry>

         <oasis:entry colname="col2">174.2512</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M599" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.7677</oasis:entry>

         <oasis:entry colname="col4">1015</oasis:entry>

         <oasis:entry colname="col5">1235</oasis:entry>

         <oasis:entry colname="col6">220</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">SD 8</oasis:entry>

         <oasis:entry colname="col2">176.364</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M600" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.6945</oasis:entry>

         <oasis:entry colname="col4">1010</oasis:entry>

         <oasis:entry colname="col5">1171</oasis:entry>

         <oasis:entry colname="col6">161</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">SD 9</oasis:entry>

         <oasis:entry colname="col2">178.6087</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M601" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.9963</oasis:entry>

         <oasis:entry colname="col4">1214</oasis:entry>

         <oasis:entry colname="col5">NA</oasis:entry>

         <oasis:entry colname="col6">NA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">SD 11</oasis:entry>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M602" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>175.6475</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M603" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.0057</oasis:entry>

         <oasis:entry colname="col4">1055</oasis:entry>

         <oasis:entry colname="col5">1172</oasis:entry>

         <oasis:entry colname="col6">117</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">SD 12</oasis:entry>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M604" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>172.7813</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M605" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.5368</oasis:entry>

         <oasis:entry colname="col4">1013</oasis:entry>

         <oasis:entry colname="col5">1112</oasis:entry>

         <oasis:entry colname="col6">99</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">LD B</oasis:entry>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M606" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>170.7385</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M607" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.1745</oasis:entry>

         <oasis:entry colname="col4">948</oasis:entry>

         <oasis:entry colname="col5">1046</oasis:entry>

         <oasis:entry colname="col6">98</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">SD13</oasis:entry>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M608" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>169.0728</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M609" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.2007</oasis:entry>

         <oasis:entry colname="col4">NA</oasis:entry>

         <oasis:entry colname="col5">NA</oasis:entry>

         <oasis:entry colname="col6">NA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">LD C</oasis:entry>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M610" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>165.7792</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M611" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.4842</oasis:entry>

         <oasis:entry colname="col4">854</oasis:entry>

         <oasis:entry colname="col5">941</oasis:entry>

         <oasis:entry colname="col6">87</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">SD 14</oasis:entry>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M612" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>162.9992</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M613" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.3952</oasis:entry>

         <oasis:entry colname="col4">889</oasis:entry>

         <oasis:entry colname="col5">1006</oasis:entry>

         <oasis:entry colname="col6">117</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">SD 15</oasis:entry>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M614" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>159.9913</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M615" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.2618</oasis:entry>

         <oasis:entry colname="col4">917</oasis:entry>

         <oasis:entry colname="col5">1043</oasis:entry>

         <oasis:entry colname="col6">126</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e8496"><inline-formula><mml:math id="M586" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula> Difference (in m) between the depth of the
<inline-formula><mml:math id="M587" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> horizon at the pre-industrial period and the
OUTPACE cruise. NA – not available.</p></table-wrap-foot></table-wrap>

      <p id="d1e9134">Temporal variations in <inline-formula><mml:math id="M616" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M617" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> between 1970 and
2015 are presented in Fig. <xref ref-type="fig" rid="Ch1.F5"/>. As mentioned earlier, even if
<inline-formula><mml:math id="M618" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimates from TrOCA are biased, a previous study by
<xref ref-type="bibr" rid="bib1.bibx38" id="text.68"/> suggests that the TrOCA method gives similar values
to other methods for estimating <inline-formula><mml:math id="M619" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> accumulation rates. A linear
fit was applied to the observed temporal variations for <inline-formula><mml:math id="M620" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
[<inline-formula><mml:math id="M621" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>], <inline-formula><mml:math id="M622" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M623" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to check for significant
trends on data collected between 1980 and 2015. The results of the performed
regression analyses are presented in Table <xref ref-type="table" rid="Ch1.T2"/>. Trends are evaluated
with and without the data of the OUTPACE cruise in order to estimate the
influence of this new dataset on the observed trends. Trends are evaluated
for the entire OUTPACE area and for the MA and the WGY area. Even if
presented in Fig. <xref ref-type="fig" rid="Ch1.F5"/>, data collected before 1980 from the GLODAPv2
database are disregarded in the estimation of the temporal trends. Indeed,
for the OUTPACE area, data prior to 1980 originate from one single GEOSEC
cruise in 1974, with only one measured point for <inline-formula><mml:math id="M624" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">27</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> at WGY
and no points at <inline-formula><mml:math id="M625" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> for WGY and MA.</p>
      <?pagebreak page5231?><p id="d1e9264">At <inline-formula><mml:math id="M626" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, a significant decrease in <inline-formula><mml:math id="M627" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M628" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.20</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M629" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M630" 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<inline-formula><mml:math id="M631" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> is observed over the entire
OUTPACE area. A decrease of <inline-formula><mml:math id="M632" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.30</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M633" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M634" 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<inline-formula><mml:math id="M635" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> is also observed in the MA area,
whereas no significant trend is observed for the WGY area. However, when
<inline-formula><mml:math id="M636" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is normalized to salinity, no significant trends are observed
in <inline-formula><mml:math id="M637" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mi mathvariant="normal">T</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>n</mml:mi><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> suggesting that the observed trend in <inline-formula><mml:math id="M638" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
can be attributed to salinity changes rather than changes in calcification.
Significant negative trends are observed for [<inline-formula><mml:math id="M639" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] over the entire
area (<inline-formula><mml:math id="M640" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.31</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M641" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M642" 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<inline-formula><mml:math id="M643" 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 MA (<inline-formula><mml:math id="M644" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.35</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.16</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M645" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M646" 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<inline-formula><mml:math id="M647" 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 in WGY (<inline-formula><mml:math id="M648" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.38</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.11</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M649" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M650" 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<inline-formula><mml:math id="M651" 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 decrease in [<inline-formula><mml:math id="M652" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>]
which corresponds to a positive trend in AOU suggested an increase in the
remineralization of organic matter at <inline-formula><mml:math id="M653" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>. Significant
increasing trends were observed for <inline-formula><mml:math id="M654" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> over the entire area
(<inline-formula><mml:math id="M655" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.32</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M656" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M657" 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<inline-formula><mml:math id="M658" 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 MA (<inline-formula><mml:math id="M659" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.38</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.21</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M660" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M661" 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<inline-formula><mml:math id="M662" 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 in WGY (<inline-formula><mml:math id="M663" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.57</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M664" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M665" 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<inline-formula><mml:math id="M666" 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 <inline-formula><mml:math id="M667" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, the trends
were slightly slower (<inline-formula><mml:math id="M668" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.12</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M669" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M670" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M671" 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<inline-formula><mml:math id="M672" 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 not significantly different
between MA and WGY. Taking into account the OUTPACE dataset does not change
the overall significance of the observed trends and only minor changes
(mostly within the error of the estimates) are observed. If we assume a
<inline-formula><mml:math id="M673" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increase of 0.5 to 1 <inline-formula><mml:math id="M674" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M675" 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<inline-formula><mml:math id="M676" 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>
(depending on the buffer factors considered) associated with the recent rise in
atmospheric <inline-formula><mml:math id="M677" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (see for example <xref ref-type="bibr" rid="bib1.bibx32" id="altparen.69"/>), the
<inline-formula><mml:math id="M678" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increase in the OUTPACE area is faster than thermodynamics
would govern, whereas the <inline-formula><mml:math id="M679" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is closer to this thermodynamic
value. The higher increase in <inline-formula><mml:math id="M680" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> could be related to an increase
in remineralization processes as deduced from [<inline-formula><mml:math id="M681" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] trends, with an
overall consistency between the rate of <inline-formula><mml:math id="M682" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increase and the rate
of decrease in [<inline-formula><mml:math id="M683" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>]. However, the important increase in
<inline-formula><mml:math id="M684" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> observed between 2005 and 2015 between 10 and 30<inline-formula><mml:math id="M685" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S
on the P16 line (at the eastern side of the OUTPACE transect) by
<xref ref-type="bibr" rid="bib1.bibx6" id="text.70"/> is not supported by significant differences in the
trends of <inline-formula><mml:math id="M686" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> observed between MA and WGY in this study.</p>
      <p id="d1e9975">At <inline-formula><mml:math id="M687" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">27</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, the only significant trend observed is an increase in
<inline-formula><mml:math id="M688" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of ca. <inline-formula><mml:math id="M689" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.40</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M690" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M691" 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<inline-formula><mml:math id="M692" 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 MA area. When the OUTPACE dataset is not considered, a similar trend
is observed for <inline-formula><mml:math id="M693" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the MA area. This trend is compatible with
the observed increase in <inline-formula><mml:math id="M694" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> by Kouketsu et al. (2013) along the
P21 line close to the isopycnal layer 27 kg m<inline-formula><mml:math id="M695" 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>. As this increase is
not observed in WGY and if we assume that the <inline-formula><mml:math id="M696" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">27</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is filed
with AAIWs, this suggest that the accumulation of <inline-formula><mml:math id="M697" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in
AAIW is faster west of the 170<inline-formula><mml:math id="M698" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W line than to the east, but no clear
explanation for this trend can be given.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p id="d1e10118">Longitudinal variations in <bold>(a)</bold> pH<inline-formula><mml:math id="M699" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> changes and
<bold>(b)</bold> <inline-formula><mml:math id="M700" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> changes between the pre-industrial period
and the present time along the OUTPACE transect between 100 and 2000 dbar
depth (see text for details). Black contour lines represent the isopycnal horizons based on
potential density referenced to a pressure of 0 dbar.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/5221/2018/bg-15-5221-2018-f06.pdf"/>

      </fig>

</sec>
<sec id="Ch1.S7">
  <?xmltex \opttitle{Towards an enhanced ``ocean acidification''\hack{\break} in the WTSP?}?><title>Towards an enhanced “ocean acidification”<?xmltex \hack{\break}?> in the WTSP?</title>
      <?pagebreak page5232?><p id="d1e10162">Temporal variations in pH<inline-formula><mml:math id="M701" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> between 1970 and 2015 are presented in
Fig. <xref ref-type="fig" rid="Ch1.F5"/>c and f with rates of pH<inline-formula><mml:math id="M702" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> decrease of <inline-formula><mml:math id="M703" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0022</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0004</mml:mn></mml:mrow></mml:math></inline-formula> a<inline-formula><mml:math id="M704" 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 MA and <inline-formula><mml:math id="M705" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0027</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0004</mml:mn></mml:mrow></mml:math></inline-formula> a<inline-formula><mml:math id="M706" 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 WGY at
<inline-formula><mml:math id="M707" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (Table <xref ref-type="table" rid="Ch1.T2"/>) between 1980 and 2015. Based on the
<inline-formula><mml:math id="M708" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> rates estimated in the previous section (1.1 to
1.2 <inline-formula><mml:math id="M709" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M710" 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<inline-formula><mml:math id="M711" 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 based on a constant value of
<inline-formula><mml:math id="M712" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of 2285 <inline-formula><mml:math id="M713" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M714" 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> (mean value of
<inline-formula><mml:math id="M715" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mi mathvariant="normal">T</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>n</mml:mi><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> on <inline-formula><mml:math id="M716" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) and a constant temperature of
20 <inline-formula><mml:math id="M717" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (mean value of temperature on <inline-formula><mml:math id="M718" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>), we can
estimate a pH<inline-formula><mml:math id="M719" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> decrease rate of <inline-formula><mml:math id="M720" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0023 to <inline-formula><mml:math id="M721" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0025 a<inline-formula><mml:math id="M722" 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 indicates that rates of oceanic pH<inline-formula><mml:math id="M723" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> decrease (ocean
acidification) can mostly be explained by the increase in <inline-formula><mml:math id="M724" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.
These rates of acidification are higher than the values reported by
<xref ref-type="bibr" rid="bib1.bibx51" id="text.71"/> in the western South Pacific along the P06 Line
(south of OUTPACE area at 32<inline-formula><mml:math id="M725" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S) between two visits in 1992 and
2008. They are also higher than the surface rates of pH<inline-formula><mml:math id="M726" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> decrease
of <inline-formula><mml:math id="M727" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0016</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula> a<inline-formula><mml:math id="M728" 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> recorded at the HOT station in the tropical
North Pacific and of <inline-formula><mml:math id="M729" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0017</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M730" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0018</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula> a<inline-formula><mml:math id="M731" 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 tropical North Atlantic at BATS and ESTOC stations, respectively
<xref ref-type="bibr" rid="bib1.bibx4" id="paren.72"/>. However, differences in buffer factors
between the surface and subsurface can partially explain these differences.
Nevertheless, our results in the subsurface (<inline-formula><mml:math id="M732" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) based on
GLODAPv2 and OUTPACE data (<inline-formula><mml:math id="M733" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M734" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) are similar to
pH<inline-formula><mml:math id="M735" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> trends derived from <inline-formula><mml:math id="M736" display="inline"><mml:mrow class="chem"><mml:mi>f</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> surface
observations <xref ref-type="bibr" rid="bib1.bibx26" id="paren.73"><named-content content-type="pre">e.g.,</named-content></xref>. In the southern
subtropical and equatorial Pacific regions, using SOCAT version2,
<xref ref-type="bibr" rid="bib1.bibx26" id="text.74"/> evaluate contrasting <inline-formula><mml:math id="M737" display="inline"><mml:mrow class="chem"><mml:mi>f</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
pH<inline-formula><mml:math id="M738" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> trends, ranging between <inline-formula><mml:math id="M739" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M740" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M741" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm a<inline-formula><mml:math id="M742" 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 <inline-formula><mml:math id="M743" display="inline"><mml:mrow class="chem"><mml:mi>f</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and between
<inline-formula><mml:math id="M744" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M745" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0023</mml:mn></mml:mrow></mml:math></inline-formula> a<inline-formula><mml:math id="M746" 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 pH<inline-formula><mml:math id="M747" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>. If we revisit these
estimates, using surface <inline-formula><mml:math id="M748" display="inline"><mml:mrow class="chem"><mml:mi>f</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observations available in the
OUTPACE region (18–22<inline-formula><mml:math id="M749" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S/170–200<inline-formula><mml:math id="M750" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) in SOCAT version 6
(<xref ref-type="bibr" rid="bib1.bibx3" id="altparen.75"/>; <uri>http://www.socat.info</uri>, last
access: 10 August 2018) and assuming a constant alkalinity
(2300 <inline-formula><mml:math id="M751" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M752" 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>, average of surface data), we can calculate
pH<inline-formula><mml:math id="M753" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M754" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from <inline-formula><mml:math id="M755" display="inline"><mml:mrow class="chem"><mml:mi>f</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and temperature
data. The resulting long-term trends for the period 1980–2016 for
<inline-formula><mml:math id="M756" display="inline"><mml:mrow class="chem"><mml:mi>f</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M757" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and pH<inline-formula><mml:math id="M758" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> are, respectively,
<inline-formula><mml:math id="M759" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.27</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M760" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm a<inline-formula><mml:math id="M761" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math id="M762" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.03</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M763" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M764" 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<inline-formula><mml:math id="M765" 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 <inline-formula><mml:math id="M766" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0013</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula> a<inline-formula><mml:math id="M767" 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>.
Interestingly, for the period 2000–2016 the trends are <inline-formula><mml:math id="M768" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.53</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M769" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>atm a<inline-formula><mml:math id="M770" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math id="M771" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.02</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M772" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M773" 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<inline-formula><mml:math id="M774" 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 <inline-formula><mml:math id="M775" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0025</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0003</mml:mn></mml:mrow></mml:math></inline-formula> a<inline-formula><mml:math id="M776" 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>,
suggesting an acceleration of the signals in recent years. These results,
based on <inline-formula><mml:math id="M777" display="inline"><mml:mrow class="chem"><mml:mi>f</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observations in surface waters, confirm the
trends we detected for <inline-formula><mml:math id="M778" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and pH<inline-formula><mml:math id="M779" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> in subsurface
layers (<inline-formula><mml:math id="M780" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>).</p>
      <?pagebreak page5233?><p id="d1e11096">In Fig. <xref ref-type="fig" rid="Ch1.F6"/>, estimates of the so-called “anthropogenic
pH<inline-formula><mml:math id="M781" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> change” (<inline-formula><mml:math id="M782" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="normal">pH</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and
“anthropogenic <inline-formula><mml:math id="M783" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> change” (<inline-formula><mml:math id="M784" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), which correspond to the difference in pH<inline-formula><mml:math id="M785" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>
and <inline-formula><mml:math id="M786" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> between the time of the OUTPACE cruise (modern
time) and the pre-industrial period, are presented. The pH<inline-formula><mml:math id="M787" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> and
<inline-formula><mml:math id="M788" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> correspond to the values presented in Fig. <xref ref-type="fig" rid="Ch1.F3"/>,
whereas the pre-industrial values corresponds to pH<inline-formula><mml:math id="M789" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> and
<inline-formula><mml:math id="M790" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimated with <inline-formula><mml:math id="M791" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> minus <inline-formula><mml:math id="M792" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.
All other parameters (temperature, salinity, alkalinity and nutrients) are
assumed to remain constant over time. The main features for the distribution
of <inline-formula><mml:math id="M793" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="normal">pH</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M794" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> logically reflect the distribution
of the estimated <inline-formula><mml:math id="M795" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in this study because <inline-formula><mml:math id="M796" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is
the only driving force in these estimations. The estimated pH<inline-formula><mml:math id="M797" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>
decrease reaches values slightly higher than 0.1 and the estimated
<inline-formula><mml:math id="M798" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> decrease reaches values of 0.75 since the
pre-industrial period for areas with the highest <inline-formula><mml:math id="M799" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
accumulation. When considering an error in <inline-formula><mml:math id="M800" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of
6 <inline-formula><mml:math id="M801" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M802" 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>, we can assume that we are able to distinguish
changes of 0.0012 for pH<inline-formula><mml:math id="M803" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> and 0.06 for <inline-formula><mml:math id="M804" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.
Decreases in pH<inline-formula><mml:math id="M805" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M806" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are thus detectable
below 1000 dbar in the MA waters and above 1000 dbar in WGY waters.</p>
      <p id="d1e11396">A decrease in pH<inline-formula><mml:math id="M807" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> of 0.1 units since the pre-industrial period is
a generally accepted value for oceanic waters affected by <inline-formula><mml:math id="M808" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
penetration <xref ref-type="bibr" rid="bib1.bibx40" id="paren.76"><named-content content-type="pre">e.g.,</named-content></xref>. Several
studies have assessed the rate of ocean acidification based on successive
visits to different oceanic areas. For the South Pacific Ocean,
<xref ref-type="bibr" rid="bib1.bibx6" id="text.77"/> reports decreases in oceanic pH<inline-formula><mml:math id="M809" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> since
the pre-industrial period of <inline-formula><mml:math id="M810" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.09 and <inline-formula><mml:math id="M811" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.11 pH<inline-formula><mml:math id="M812" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> units for
the latitude band from 10 to 20<inline-formula><mml:math id="M813" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S and from 20 to 30<inline-formula><mml:math id="M814" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S,
respectively, along the P16 line (150<inline-formula><mml:math id="M815" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W) situated on the eastern
side of the OUTPACE area. These are in good agreement with our estimates in
this area.</p>
      <p id="d1e11487">Based on an interpolation of the estimated <inline-formula><mml:math id="M816" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> during
OUTPACE and the pre-industrial <inline-formula><mml:math id="M817" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, we calculated the depth
of the horizon where <inline-formula><mml:math id="M818" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> for the different stations of
the OUTPACE transect (Table <xref ref-type="table" rid="Ch1.T3"/>) in 2015 and the pre-industrial period
based on the <inline-formula><mml:math id="M819" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimates. We observed
an upward migration of the aragonite saturation horizon of up to 220 m in
the MA area along the OUTPACE transect (Table <xref ref-type="table" rid="Ch1.T3"/>). This upward
migration of the <inline-formula><mml:math id="M820" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ara</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> horizon is higher than the
migration of 30 to 100 m observed between the 1990s and the pre-industrial period in early studies
<xref ref-type="bibr" rid="bib1.bibx15" id="paren.78"/> in the Pacific based on the WOCE dataset
illustrating the continuous acidification of the WTSP.</p>
</sec>
<sec id="Ch1.S8" sec-type="conclusions">
  <title>Conclusions</title>
      <p id="d1e11572">Based on <inline-formula><mml:math id="M821" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M822" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> data and related properties
collected during the OUTPACE cruise, we estimated different parameters of the
carbonate system along a longitudinal section of nearly 4000 km and up to
2000 dbar in WTSP. Even if the vertical and horizontal resolution is low
compared to the WOCE lines and precludes a rigorous comparison with this high-quality dataset, we estimated that the measured carbonate chemistry
parameters are in good agreement with previous data collected in this area.
Based on the estimation of <inline-formula><mml:math id="M823" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from the TrOCA method, we find
<inline-formula><mml:math id="M824" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> penetration in the WTSP and impacts on pH<inline-formula><mml:math id="M825" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> and
saturation state of calcium carbonate since the pre-industrial period that
are in good agreement with previous observations in this area. As mentioned
above, <inline-formula><mml:math id="M826" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values from TrOCA estimates are not reliable in surface
layer. However, based on GLODAPv2 and the SOCAT database, our estimation of
<inline-formula><mml:math id="M827" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ANT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the subsurface seems to be in good agreement with expected
changes in surface waters. The enhanced impact of ocean acidification in the
subtropical South Pacific suggested by our study highlights the necessity of
sustained research efforts in this largely underexplored part of the world ocean. The presented dataset collected along the OUTPACE transect could
complement existing sections visited nearly every decade in the South Pacific
Ocean and in particular the P21 line, which was last visited in 2009.</p><?xmltex \hack{\newpage}?>
</sec>

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

      <p id="d1e11656">OUTPACE cruise data are available at the French INSU/CNRS
LEFE CYBER database (scientific coordinator: Hervé Claustre; data manager
and webmaster: Catherine Schmechtig) at the following web address:
<uri>http://www.obs-vlfr.fr/proof/php/outpace/outpace.php</uri> (last access:
10 August 2018). GLODAPv2 data are available at the following web address:
<uri>https://www.glodap.info/</uri> (last access: 10 August 2018). SOCAT version 6
data are available at the following web address:
<uri>https://www.socat.info/</uri> (last access: 10 August 2018).</p>
  </notes><notes notes-type="competinginterests">

      <p id="d1e11672">The authors declare that they have no conflict of
interest.</p>
  </notes><notes notes-type="sistatement">

      <p id="d1e11678">This article is part of the special issue “Interactions between
planktonic organisms and biogeochemical cycles across trophic and <inline-formula><mml:math id="M828" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
fixation gradients in the western tropical South Pacific Ocean: a
multidisciplinary approach (OUTPACE experiment)”. It is not associated with
a conference.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e11695">This is a contribution of the OUTPACE (Oligotrophy from Ultra-oligoTrophy
PACific Experiment) project (<uri>https://outpace.mio.univ-amu.fr/</uri>, last
access: 10 August 2018) funded by the French national research agency
(ANR-14-CE01-0007-01), the LEFE-CyBER program (CNRS-INSU), the GOPS program
(IRD) and the CNES (BC T23, ZBC 4500048836). The OUTPACE cruise
(<ext-link xlink:href="https://doi.org/10.17600/15000900" ext-link-type="DOI">10.17600/15000900</ext-link>) was managed by the MIO (OSU Institut Pytheas, AMU)
from Marseille (France), which has received funding from the European FEDER
Fund under project 1166-39417. The SNAPO-<inline-formula><mml:math id="M829" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> service at LOCEAN is
supported by CNRS-INSU and OSU Ecce-Terra. The Surface Ocean <inline-formula><mml:math id="M830" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
Atlas (SOCAT) is an international effort, endorsed by the International Ocean
Carbon Coordination Project (IOCCP), the Surface Ocean Lower Atmosphere Study
(SOLAS) and the Integrated Marine Biosphere Research (IMBeR) program, to
deliver a uniformly quality-controlled surface ocean <inline-formula><mml:math id="M831" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> database.
The many researchers and funding agencies responsible for the collection of
data and quality control are thanked for their contributions to SOCAT. The
authors thank the crew of the R/V <italic>L'Atalante</italic> for outstanding
shipboard operation. Catherine Schmechtig is warmly thanked for the LEFE
CYBER database management. Aurelia Lozingot is acknowledged for the
administrative work. Pierre Marrec is thanked for his insightful comments on
the present work. The two anonymous referees are thanked for helping improve
a previous version of this paper. The authors acknowledge the assistance of
the editorial staff of <italic>Biogeosciences</italic>.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> Edited by: Emilio Marañón<?xmltex \hack{\newline}?> Reviewed by:
two anonymous referees</p></ack><ref-list>
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    <!--<article-title-html>Carbonate system distribution, anthropogenic carbon and acidification in the western tropical South Pacific (OUTPACE 2015 transect)</article-title-html>
<abstract-html><p>The western tropical South
Pacific was sampled along a longitudinal 4000&thinsp;km transect (OUTPACE cruise,
18 February, 3 April 2015) for the measurement of carbonate parameters (total
alkalinity and total inorganic carbon) between the Melanesian Archipelago
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this new dataset and derived properties: pH on the total scale
(pH<sub>T</sub>) and the CaCO<sub>3</sub> saturation state with respect to
aragonite (Ω<sub>ara</sub>). We also estimate anthropogenic carbon
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(Tracer combining Oxygen, inorganic Carbon and total Alkalinity). Along the
OUTPACE transect a deeper penetration of <i>C</i><sub>ANT</sub> in the intermediate
waters was observed in the MA, whereas highest <i>C</i><sub>ANT</sub>
concentrations were detected in the subsurface waters of the WGY. By
combining our OUTPACE dataset with data available in GLODAPv2 (1974–2009),
temporal changes in oceanic inorganic carbon were evaluated. An increase of
1.3 to 1.6&thinsp;µmol&thinsp;kg<sup>−1</sup>&thinsp;a<sup>−1</sup> for total inorganic carbon in
the upper thermocline waters is estimated, whereas <i>C</i><sub>ANT</sub> increases
by 1.1 to 1.2&thinsp;µmol&thinsp;kg<sup>−1</sup>&thinsp;a<sup>−1</sup>. In the MA intermediate
waters (27&thinsp;kg&thinsp;m<sup>−3</sup>&thinsp; &lt; <i>σ</i><sub><i>θ</i></sub> &lt; 27.2&thinsp;kg&thinsp;m<sup>−3</sup>) an
increase of 0.4&thinsp;µmol&thinsp;kg<sup>−1</sup>&thinsp;a<sup>−1</sup> <i>C</i><sub>ANT</sub> is
detected. Our results suggest a clear progression of ocean acidification in
the western tropical South Pacific with a decrease in the oceanic
pH<sub>T</sub> of up to −0.0027&thinsp;a<sup>−1</sup> and a shoaling of the saturation
depth for aragonite of up to 200&thinsp;m since the pre-industrial period.</p></abstract-html>
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