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<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article"><?xmltex \bartext{Research article}?>
  <front>
    <journal-meta><journal-id journal-id-type="publisher">BG</journal-id><journal-title-group>
    <journal-title>Biogeosciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">BG</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Biogeosciences</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1726-4189</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/bg-19-3425-2022</article-id><title-group><article-title>Controls on nitrite oxidation in the upper Southern Ocean: <?xmltex \hack{\break}?> insights from
winter kinetics experiments in the Indian sector</article-title><alt-title>Controls on nitrite oxidation across the Southern Ocean</alt-title>
      </title-group><?xmltex \runningtitle{Controls on nitrite oxidation across the Southern Ocean}?><?xmltex \runningauthor{M.~Mdutyana et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Mdutyana</surname><given-names>Mhlangabezi</given-names></name>
          <email>mdtmhl001@myuct.ac.za</email>
        <ext-link>https://orcid.org/0000-0003-3854-388X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Marshall</surname><given-names>Tanya</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4">
          <name><surname>Sun</surname><given-names>Xin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0280-4283</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Burger</surname><given-names>Jessica M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Thomalla</surname><given-names>Sandy J.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6802-520X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Ward</surname><given-names>Bess B.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff5">
          <name><surname>Fawcett</surname><given-names>Sarah E.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Department of Oceanography, University of Cape Town, Rondebosch, South Africa</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Southern Ocean Carbon and Climate Observatory (SOCCO), CSIR, Rosebank, South Africa</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Geosciences, Princeton University, Princeton, New
Jersey, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Ecology and Evolutionary Biology, Yale University, New
Haven, Connecticut, USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Marine and Antarctic Research centre for Innovation and Sustainability (MARIS), University of Cape Town, <?xmltex \hack{\break}?>Rondebosch, Cape Town, South Africa</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Mhlangabezi Mdutyana (mdtmhl001@myuct.ac.za)</corresp></author-notes><pub-date><day>20</day><month>July</month><year>2022</year></pub-date>
      
      <volume>19</volume>
      <issue>14</issue>
      <fpage>3425</fpage><lpage>3444</lpage>
      <history>
        <date date-type="received"><day>22</day><month>October</month><year>2021</year></date>
           <date date-type="rev-request"><day>29</day><month>October</month><year>2021</year></date>
           <date date-type="rev-recd"><day>23</day><month>June</month><year>2022</year></date>
           <date date-type="accepted"><day>2</day><month>July</month><year>2022</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2022 Mhlangabezi Mdutyana et al.</copyright-statement>
        <copyright-year>2022</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://bg.copernicus.org/articles/19/3425/2022/bg-19-3425-2022.html">This article is available from https://bg.copernicus.org/articles/19/3425/2022/bg-19-3425-2022.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/19/3425/2022/bg-19-3425-2022.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/19/3425/2022/bg-19-3425-2022.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e168">Across the Southern Ocean in winter, nitrification is the dominant
mixed-layer nitrogen cycle process, with some of the nitrate produced
therefrom persisting to fuel productivity during the subsequent growing
season. Because this nitrate constitutes a regenerated rather than a new
nutrient source to phytoplankton, it will not support the net removal of
atmospheric CO<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. To better understand the controls on Southern Ocean
nitrification, we conducted nitrite oxidation kinetics experiments in
surface waters across the western Indian sector in winter. While all
experiments (seven in total) yielded a Michaelis–Menten relationship with
substrate concentration, the nitrite oxidation rates only increased
substantially once the nitrite concentration exceeded <inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:mn mathvariant="normal">115</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.3</mml:mn></mml:mrow></mml:math></inline-formula> to
<inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mn mathvariant="normal">245</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula> nM, suggesting that nitrite-oxidizing bacteria (NOB) require a
minimum (i.e., “threshold”) nitrite concentration to produce nitrate. The
half-saturation constant for nitrite oxidation ranged from <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mn mathvariant="normal">134</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula> to
<inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mn mathvariant="normal">403</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula> nM, indicating a relatively high affinity of Southern Ocean
NOB for nitrite, in contrast to results from culture experiments. Despite
the high affinity of NOB for nitrite, its concentration rarely declines
below 150 nM in the Southern Ocean's mixed layer, regardless of season. In
the upper mixed layer, we measured ammonium oxidation rates that were two-
to seven-fold higher than the coincident rates of nitrite oxidation,
indicating that nitrite oxidation is the rate-limiting step for
nitrification in the winter Southern Ocean. The decoupling of ammonium and
nitrite oxidation, combined with a possible nitrite concentration threshold
for NOB, may explain the non-zero nitrite that persists throughout the
Southern Ocean's mixed layer year-round. Additionally, nitrite oxidation may
be limited by dissolved iron, the availability of which is low across the
upper Southern Ocean. Our findings have implications for understanding the
controls on nitrification and ammonium and nitrite distributions, both in
the Southern Ocean and elsewhere.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e237">The cycling of nitrogen (N) in the upper ocean is central to the role that
phytoplankton and bacteria play in atmospheric carbon dioxide (CO<inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
consumption and production. Annually, the Southern Ocean accounts for
<inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula> % of total oceanic CO<inline-formula><mml:math id="M8" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> removal
(DeVries et al., 2017; Gruber et al., 2019;
Watson et al., 2020) and absorbs <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> % of anthropogenic
CO<inline-formula><mml:math id="M10" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Gruber et al., 2019; Hauck et al., 2015; Khatiwala et al., 2009; Watson et
al., 2020). The contribution of biology to CO<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> drawdown can be
evaluated using the new production paradigm, among other approaches. This
framework defines phytoplankton growth on nitrate (NO<inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> supplied
from below the euphotic zone as “new production” and phytoplankton growth
on ammonium (NH<inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> recycled within the euphotic zone as
“regenerated production” (Dugdale and Goering,
1967). Over appropriate timescales, new production is equivalent to “export
production”, the latter referring to the organic matter produced by
phytoplankton that escapes recycling in surface waters and sinks into the
ocean interior, thereby sequestering atmospheric CO<inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> at depth
(Dugdale
and Goering, 1967; Eppley and Peterson, 1979; Raven and Falkowski, 1999;
Volk and Hoffert, 1985). The occurrence of nitrification in the euphotic
zone, which produces regenerated NO<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, complicates applications of
the new production paradigm since phytoplankton growth fueled by this
NO<inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> will drive no net removal of CO<inline-formula><mml:math id="M17" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Yool et al., 2007).</p>
      <p id="d1e371">In the Southern Ocean, nitrification appears to be largely confined to the
dark waters below the euphotic zone during the summertime period of maximum
NO<inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> consumption by phytoplankton
(DiFiore et
al., 2009; Mdutyana et al., 2020). By contrast, the Southern Ocean winter is
characterized by elevated mixed-layer nitrification rates, coincident with
low rates of NO<inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> uptake
(Mdutyana et al., 2020; Smart
et al., 2015). Some of the NO<inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> regenerated in the winter mixed
layer will be supplied to phytoplankton during the proceeding spring and
summer growing season, with negative implications for CO<inline-formula><mml:math id="M21" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> removal on an
annual basis. That said, there is evidence that ammonia-oxidizing archaea,
the organisms that are dominantly responsible for NH<inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation
(the first step in the nitrification pathway)
(Beman
et al., 2008; Newell et al., 2011; Peng et al., 2016), have a high iron
requirement (Shafiee et al., 2019)
such that NH<inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation may at times experience iron limitation
(Mdutyana et al., 2022a). If this limitation is verified and
proves widespread in the environment, one implication is that the
iron-depleted conditions of Southern Ocean surface waters may restrict
mixed-layer nitrification and by extension decrease the extent to which
phytoplankton growth is fueled by regenerated NO<inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e456">Nitrification is a chemoautotrophic process involving two pathways usually
facilitated by different groups of microorganisms. The first step is
NH<inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation, which involves the oxidation of NH<inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> via
hydroxylamine and nitric oxide to NO<inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
(Caranto
and Lancaster, 2017; Kozlowski et al., 2016; Vajrala et al., 2013; Walker et
al., 2010) by ammonia-oxidizing archaea and bacteria (AOA and AOB,
respectively; collectively, ammonia-oxidizing organisms, AOOs). The second
step is the oxidation of NO<inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> to NO<inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> by nitrite-oxidizing bacteria (NOB), a polyphyletic group of microbes that is not
well-understood in the ocean (Beman et al., 2013; Daims et al., 2016; Pachiadaki et al., 2017; Sun et al.,
2021; Watson et al., 1986). In general, NO<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rate data
are limited, with few measurements available for the Southern Ocean
(Bianchi
et al., 1997; Mdutyana et al., 2020; Olson, 1981a). Such measurements are
critical, however, if we are to better understand the controls on
nitrification in the Southern Ocean mixed layer and the connection between
NO<inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> production by NOB and its subsequent removal by
phytoplankton.</p>
      <p id="d1e544">One approach for investigating the controls on NO<inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation is
through experiments designed to yield a hyperbolic Michaelis–Menten
relationship between NO<inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rate and NO<inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
concentration. Useful kinetic parameters can be derived from this
relationship, such as the maximum oxidation rate (<inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and the
half-saturation constant (<inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, with the latter indicating the
NO<inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration at which the oxidation rate, <inline-formula><mml:math id="M38" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula>, equals <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>.
Estimates of <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> provide information regarding the efficiency of NOB in
acquiring NO<inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> substrate, with a lower <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> indicating a higher
affinity for NO<inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, while <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> denotes the maximum rate of
NO<inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation that can be achieved under a given set of
conditions by a particular NOB community. In the ocean, direct measurements
of NO<inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation kinetic parameters are extremely limited
(Olson,
1981a;
Sun et al., 2017, 2021; Zhang et al., 2020), with no estimates available for
the Southern Ocean. <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values derived from culture studies of NOB range
from 9 to 544 <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>M (Nowka et al., 2015; Ushiki et al., 2017), orders of
magnitude higher than the existing estimates for natural assemblages of NOB
in coastal waters and oxygen deficient zones (ranging from 0.07 to 0.51 <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>M;
Olson,
1981a; Sun et al., 2017; Zhang et al., 2020). This discrepancy emphasizes
the gaps in our understanding of NO<inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation and the organisms
that catalyze it.</p>
      <p id="d1e767">Generally, NO<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations in the low-latitude oxygenated
ocean reach a maximum near the base of the euphotic zone (i.e., the primary
nitrite maximum, PNM), with much lower concentrations above and below this
depth (Lomas and Lipschultz, 2006). By
contrast, at higher latitudes including in the Southern Ocean, the
NO<inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations are elevated (100–400 nM) and fairly invariant
throughout the mixed layer in all seasons
(Fripiat
et al., 2019; Mdutyana et al., 2020; Zakem et al., 2018). A possible
explanation for this NO<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> accumulation is a decoupling of the
NH<inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rates, with NO<inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
oxidation being the rate-limiting step in the nitrification pathway,
contrary to expectations for oxygenated marine waters (Kendall, 1998;
Vajrala et al., 2013; Walker et al., 2010). However, this idea has yet to be
examined using observations.</p>
      <p id="d1e843">To better understand the controls on NO<inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation (and thus
nitrification) in the Southern Ocean, we conducted a series of
NO<inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation kinetics experiments in wintertime surface waters
across the western Indian sector. At every station (seven in total) along a
transect between the subtropical and marginal ice zones, NO<inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
oxidation rates increased with increasing NO<inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations, as
per the expected Michaelis–Menten relationship. The derived <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values
were low and increased with increasing ambient NO<inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. Additionally,
there appeared to be a minimum NO<inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration that was
required before the NO<inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rates increased significantly,
implying a “threshold” NO<inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> requirement for NO<inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
oxidation in the Southern Ocean. Finally, coincident measurements of
euphotic zone NH<inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rates suggest that
NO<inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation is rate-limiting for nitrification across the
Southern Ocean in winter.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e1005"><bold>(a)</bold> Map of the cruise track showing the kinetics stations (large
circle symbols) and locations of the underway stations sampled during Leg 1
(small symbols), overlaid on the measured surface (<inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> m)
nitrite concentrations ([NO<inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]). Additionally, the locations of
the hydrocast stations occupied during Leg 2 are shown, with the stations at
which depth-profile experiments were conducted indicated by the large square
symbols. The colored horizontal lines denote the frontal positions at the
time of sampling, and the major zones of the Southern Ocean are indicated by
the vertical lines and dots: STZ, subtropical zone; STF, subtropical
front; SAZ, subantarctic zone; SAF, subantarctic front; PFZ, polar frontal
zone; PF, polar front; AZ, Antarctic zone; SACCF, southern Antarctic
circumpolar front; MIZ, marginal ice zone. Also shown are water column
(0–500 m) profiles of the concentrations of <bold>(b)</bold> nitrite (NO<inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and
<bold>(c)</bold> nitrate (NO<inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> sampled during Leg 2. The grey dots indicate the
discrete sampling depths at all the hydrocast stations (eight in total),
with the four stations at which depth-profile experiments were conducted (St
08 to St 11) labeled above the panel. The black dots show the derived mixed-layer depths.</p></caption>
        <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/3425/2022/bg-19-3425-2022-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Sampling site and experimental design</title>
      <p id="d1e1088">A winter cruise was undertaken on board the R/V <italic>SA Agulhas II</italic> in July 2017 between Cape
Town, South Africa, and the marginal ice zone (MIZ; encountered at
61.7<inline-formula><mml:math id="M74" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S; de Jong et al., 2018), returning to
South Africa along the meridional World Ocean Circulation Experiment (WOCE) I06 transect (30<inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E)
(Fig. 1). Sampling was conducted on two legs – between 37
and 62<inline-formula><mml:math id="M76" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S on the southward leg (Leg 1) and between 59
and 41<inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S on the northward return leg along the WOCE I06 line (Leg 2). During Leg 1, only surface samples were collected, while on Leg 2, the
deployment of conductivity–temperature–depth (CTD) hydrocasts allowed for
depth-profile sampling.</p>
<sec id="Ch1.S2.SS1.SSS1">
  <label>2.1.1</label><title>Hydrography and nutrient collections</title>
      <p id="d1e1137">The positions of the major hydrographic fronts (the subtropical front,
STF; subantarctic front, SAF; polar front, PF; and southern Antarctic
circumpolar current front, SACCF; Fig. 1) were determined from temperature
and salinity measured by the ship's hull-mounted thermosalinograph
(<inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> m), augmented by temperature, salinity, and oxygen
concentrations measured during Leg 2 by the CTD sensors (Belkin and Gordon,
1996; Orsi et al., 1995;
Pollard et al., 2002; Read et al., 2002). For the hydrocast stations, the
mixed-layer depth was determined for each CTD (up)cast as the depth between
10 and 400 m of maximum Brunt Väisälä frequency squared (i.e.,
<inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) (Carvalho et
al., 2017; Schofield et al., 2015). Surface photosynthetically active
radiation (PAR) was not measured continuously during the cruise; we instead use
latitude as a qualitative proxy for light availability during Leg 1.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS2">
  <label>2.1.2</label><title>Nutrient samples</title>
      <p id="d1e1169">Seawater samples were collected every 4 h from the ship's underway
system (<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> m intake) on Leg 1 for the determination of
NO<inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations (Fig. 1a). During Leg 2, samples were
collected from Niskin bottles fired remotely between the surface and 500 m
at eight hydrocast stations for the analysis of NO<inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>,
NO<inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, and NH<inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations (see Fig. 1b and c for
station locations and sampling depths). For NO<inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and
NO<inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, unfiltered seawater was collected in duplicate 50 mL
polypropylene centrifuge tubes that were analyzed on board within 24 h
of collection (NO<inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> or stored frozen at <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M89" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C until
analysis (NO<inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Seawater samples for NH<inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> were
collected unfiltered in duplicate high-density polyethylene (HDPE) bottles
that had been “aged” with orthophthaldialdehyde (OPA) working reagent and
analyzed on board within 24 h of collection.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS3">
  <label>2.1.3</label><?xmltex \opttitle{NO${}_{{2}}{}^{{-}}$ oxidation kinetics experiments}?><title>NO<inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation kinetics experiments</title>
      <p id="d1e1336">During Leg 1, seawater samples were collected from the surface via
the ship's underway system at seven stations spanning the different zones of
the Southern Ocean (the subtropical zone, STZ, to the north of the STF; at
the STF, the subantarctic zone, SAZ, between the STF and SAF; the polar
frontal zone, PFZ, between the SAF and PF; the open Antarctic zone, OAZ,
between the PF and SACCF; and the marginal ice zone, MIZ, south of the
SACCF; station (St) 01 to St 07 in Fig. 1a). At each station, 25 L of seawater were
collected in a single carboy that was gently shaken to homogenize the
contents before the seawater was filtered through a 200 <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>M nylon mesh
to remove zooplankton grazers and then dispensed into 250 mL acid-washed
opaque HDPE bottles. All the bottles were rinsed three times with sample
water prior to filling. Eight sets of duplicate 250 mL bottles were amended
with Na<inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>NO<inline-formula><mml:math id="M95" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to yield <inline-formula><mml:math id="M96" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>NO<inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations ranging
from 10 to 1500 nM.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS4">
  <label>2.1.4</label><?xmltex \opttitle{Depth distribution of NO${}_{{2}}{}^{{-}}$ oxidation}?><title>Depth distribution of NO<inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation</title>
      <p id="d1e1408">On Leg 2, seawater was collected at four stations (one each in
the polar Antarctic zone (PAZ; just north of the edge of the MIZ), OAZ, PFZ,
and SAZ; St 08 to St 11 in Fig. 1a–c) using a CTD rosette equipped with 24
12 L Niskin bottles. Seawater from six depths (10, 25, 50, 75, 200, and 500 m) was pre-filtered (200 <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>M nylon mesh) and transferred
into rinsed 250 mL acid-washed opaque HDPE bottles. Duplicate bottles from
each depth were amended with Na<inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>NO<inline-formula><mml:math id="M101" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to yield a final
<inline-formula><mml:math id="M102" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>NO<inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration of 200 nM. From all incubation bottles
(for kinetics and depth-profile experiments), initial (<inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> subsamples
were collected in 50 mL centrifuge tubes immediately after the addition of
<inline-formula><mml:math id="M105" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>NO<inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. The opaque HDPE bottles from the upper 75 m were then
incubated in custom-built on-deck incubators supplied with running surface
seawater, while those from 200 and 500 m were incubated in a
<inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M108" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C cold room. The incubations lasted 23–30 h and were terminated via the collection of final (<inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>f</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> subsamples
(50 mL). Subsamples were filtered (0.2 <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>M) and stored frozen at
<inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M112" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C until analysis.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS5">
  <label>2.1.5</label><?xmltex \opttitle{Depth distribution of NO${}_{{3}}{}^{{-}}$ uptake}?><title>Depth distribution of NO<inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> uptake</title>
      <p id="d1e1574">To assess the extent to which mixed-layer NO<inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
oxidation supports wintertime NO<inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> uptake by phytoplankton, we
also conducted NO<inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> uptake experiments over the upper 75 m (the
approximate depth of the euphotic zone) at St 08 to St 11 during Leg 2. Seawater
was collected from four depths – 10, 25, 50, and 75 m – in duplicate
2 L clear polycarbonate bottles following filtration (200 <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>M nylon
mesh) to remove large zooplankton grazers. Na<inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>NO<inline-formula><mml:math id="M119" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was added to
each bottle to yield a final <inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>NO<inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration of 3 <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>M, and the bottles were then transferred to custom-built deck-board
incubators equipped with neutral density screens that allowed for the
penetration of 55 %, 30 %, 10 %, and 1 % of surface PAR. The bottles
were kept at near in situ temperature via a supply of continuously running seawater
from the underway system. Samples were incubated for 3–6 h, and
incubations were terminated by filtering the bottle contents through
pre-combusted (450<inline-formula><mml:math id="M123" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> C for 8 h) 0.3 <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>M glass fiber
filters (GF-75; Sterlitech) that were subsequently enclosed in foil envelops
(pre-combusted at 500<inline-formula><mml:math id="M125" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> C for 5 h) and stored at <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M127" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> C until analysis.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Laboratory analyses</title>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Nutrient concentrations</title>
      <p id="d1e1730">Samples were analyzed on board for NO<inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations using
the colorimetric method of Grasshoff et al. (1983) and a
Thermo Scientific Genesys 30 Visible spectrophotometer (detection limit of
20 nM, precision of <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> nM). NO<inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M131" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
concentrations were measured ashore using a Lachat Quikchem flow injection
autoanalyzer (Egan, 2008) in a configuration with a detection limit of 0.2 <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>M and precision of <inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>M. The concentration of
NO<inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> was determined by subtracting NO<inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> from
NO<inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M139" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. Aliquots of a certified reference material
(JAMSTEC) were included in each NO<inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and
NO<inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M143" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> run to ensure measurement accuracy. The
NH<inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations were also determined on board using the
fluorometric method of Holmes et al. (1999); the
methodological details and NH<inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> data are discussed at length in
Mdutyana et al. (2022a) and
Smith et al. (2022).</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><?xmltex \opttitle{NO${}_{{2}}{}^{{-}}$ oxidation rates}?><title>NO<inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rates</title>
      <p id="d1e1958">Using the denitrifier-isotope ratio mass spectrometer (IRMS)
method
(Sigman
et al., 2001;
Weigand
et al., 2016), we measured the <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of NO<inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-NO<inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> produced from <inline-formula><mml:math id="M152" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>NO<inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation for
both the kinetics and depth-profile experiments (<inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N, in
‰ versus  air, <inline-formula><mml:math id="M155" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> (<inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mtext>N</mml:mtext><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mtext>N</mml:mtext><mml:mtext>sample</mml:mtext></mml:msub><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mtext>N</mml:mtext><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mtext>N</mml:mtext><mml:mtext>air</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula>). Samples were measured using a Delta V Plus IRMS with a custom-built
purge-and-trap front end
(Weigand et al., 2016) in a configuration with a detection limit of 0.2 nmol
of N and a <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N precision of 0.2 ‰. Prior
to isotope analysis, samples were treated with sulfamic acid (15 mM) to
remove <inline-formula><mml:math id="M159" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>NO<inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> remaining at the end of the experiments, after
which sample pH was adjusted to <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula>–8 via the addition of 2 M NaOH. To account for inefficiencies in <inline-formula><mml:math id="M162" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>NO<inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> removal, both
the <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>f</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> samples were treated with sulfamic acid prior to
analysis of <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-NO<inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, with the difference between them
taken as the <inline-formula><mml:math id="M168" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>NO<inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> enrichment due to <inline-formula><mml:math id="M170" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>NO<inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
oxidation (Peng et al., 2015). International reference materials (IAEA-N3,
USGS 34, USGS 32) were used to calibrate the measured <inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-NO<inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e2278">The rate of NO<inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation (NO<inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">2</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>; nM d<inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
was calculated following Peng et al. (2015) as
              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M177" display="block"><mml:mrow><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:msub><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ox</mml:mi></mml:msub></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mo>[</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:msubsup><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mn mathvariant="normal">15</mml:mn></mml:msubsup><mml:mo>×</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>T</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M178" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>[<inline-formula><mml:math id="M179" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>NO<inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>] is the change in the concentration of
<inline-formula><mml:math id="M181" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>NO<inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> between the start and end of the incubation due to
NO<inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation, calculated from the difference in the measured
<inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-NO<inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> between the <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>f</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> samples,
<inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mn mathvariant="normal">15</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula> is the fraction of
the NO<inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> substrate pool labeled with <inline-formula><mml:math id="M190" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N at the start of the
incubation, calculated following the direct measurement of ambient
NO<inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration, and <inline-formula><mml:math id="M192" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> is the incubation length (days).
Detection limits for NO<inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">2</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> rates ranged from 0.11 to 0.36 nM d<inline-formula><mml:math id="M194" 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>, calculated according to
Santoro et
al. (2013) and Mdutyana et al. (2020).</p>
</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <label>2.2.3</label><title>Kinetic model</title>
      <p id="d1e2589">Kinetic parameters are typically calculated using the Michaelis–Menten (MM)
equation for enzyme kinetics (Monod, 1942):
              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M195" display="block"><mml:mrow><mml:mi>V</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>×</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>+</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>S</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M196" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> is the measured reaction rate, <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the maximum reaction
rate achievable under in situ conditions at saturating substrate (<inline-formula><mml:math id="M198" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula>) concentrations,
and <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the half-saturation constant, defined as the substrate
concentration at which <inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:mi>V</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e2687">The MM equation (Eq. 2) is a rectangular hyperbola, meaning that the
asymptotes along the <inline-formula><mml:math id="M201" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M202" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axes are perpendicular. By definition, when <inline-formula><mml:math id="M203" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula>
(the <inline-formula><mml:math id="M204" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula>-axis variable) is equal to zero, <inline-formula><mml:math id="M205" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> (the <inline-formula><mml:math id="M206" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axis variable) is also
zero, forcing the model through the origin (0,0). In the case of
NO<inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation, the assumption that once <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mi>V</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> is appropriate in waters where the ambient NO<inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
concentration is near-zero or where NO<inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is non-zero but
considerably lower than the <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. In the Southern Ocean, mixed-layer
NO<inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations are typically <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">150</mml:mn></mml:mrow></mml:math></inline-formula> nM
(Cavagna
et al., 2015; Zakem et al., 2018; Fripiat et al., 2019; Mdutyana et al.,
2020), and forcing the MM model through the origin results in a poor fit to
the measurements (red line in Fig. S1 in the Supplement). This poor fit, in turn, leads to
clearly inaccurate estimates of the kinetic parameters, particularly <inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
(Table S1 in the Supplement).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e2840">Kinetics experiments: the dependence of the NO<inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
oxidation rates on NO<inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration ([NO<inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]) at the
surface (<inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> m) in winter at <bold>(a)</bold> St 01, 37<inline-formula><mml:math id="M220" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S (STZ),
<bold>(b)</bold> St 02, 42<inline-formula><mml:math id="M221" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S (STF), <bold>(c)</bold> St 03, 45<inline-formula><mml:math id="M222" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S (SAZ), <bold>(d)</bold> St 04, 51<inline-formula><mml:math id="M223" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S (PFZ), <bold>(e)</bold> St 05, 55<inline-formula><mml:math id="M224" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S (OAZ), <bold>(f)</bold> St 06,
62<inline-formula><mml:math id="M225" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S (MIZ), and <bold>(g)</bold> St 07, 62<inline-formula><mml:math id="M226" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S (MIZ). The solid lines
show the Michaelis–Menten best fit, with the derived values of <inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M229" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula>, as well as the ambient concentration of nitrite
([NO<inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>amb</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, indicated in each panel. Error bars represent
the range of measured values. Where errors bars are not
visible, they are smaller than the data markers. The grey shaded area shows
the 95 % confidence interval associated with the model fit. Note that the
<inline-formula><mml:math id="M232" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis represents total [NO<inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>] (i.e.,
[<inline-formula><mml:math id="M234" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>NO<inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M236" display="inline"><mml:msub><mml:mi/><mml:mtext>tracer</mml:mtext></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M237" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> [NO<inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>amb</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.</p></caption>
            <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/3425/2022/bg-19-3425-2022-f02.png"/>

          </fig>

      <p id="d1e3118">While not typical for studies of NO<inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation kinetics in the
ocean, the standard form of nonlinear regression models, including the MM
equation, can be modified to better fit the observations (e.g., Archontoulis
and Miguez, 2014;
Birch,
1999; Tsoularis and Wallace, 2002). For application to our dataset, we
modified Eq. (2) to allow <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:mi>V</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> at <inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> by subtracting a
location parameter, <inline-formula><mml:math id="M243" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula>, from <inline-formula><mml:math id="M244" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula>
(Fig. 2) (Archontoulis
and Miguez, 2014). In other words, we set the <inline-formula><mml:math id="M245" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> intercept (i.e., where <inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:mi>V</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) equal to <inline-formula><mml:math id="M247" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula> rather than to zero, which yields Eq. (3):
              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M248" display="block"><mml:mrow><mml:mi>V</mml:mi><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>×</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mi>S</mml:mi><mml:mo>-</mml:mo><mml:mi>C</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>+</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mi>S</mml:mi><mml:mo>-</mml:mo><mml:mi>C</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            Using a nonlinear, least-squares optimization method (SciPy lmfit package,
Python 3.7.6), we solved Eq. (3) for <inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M251" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula>. The
value of <inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> derived in this way is relative to <inline-formula><mml:math id="M253" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula> such that the
substrate concentration at which <inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:mi>V</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> (i.e., <inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is
actually equal to <inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:msup><mml:mi>m</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi>C</mml:mi></mml:mrow></mml:math></inline-formula> (Supplement).
Mechanistically, <inline-formula><mml:math id="M257" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula> represents a “threshold” substrate concentration; when
<inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>≤</mml:mo><mml:mi>C</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:mi>V</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>. Hereafter, all derived kinetic parameters are reported as the best
fit plus 95 % confidence interval (i.e., mean <inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>; Table 1).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e3412">Kinetic parameters (<inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M263" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula>) associated with
NO<inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation experiments conducted across the western Indian
sector of the Southern Ocean in winter 2017. Included here are the best fit
and 95 % confidence interval (CI) for each kinetic parameter, derived
using a nonlinear, least-squares optimization method (SciPy lmfit package,
Python 3.7.6).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Station</oasis:entry>
         <oasis:entry colname="col2">Latitude</oasis:entry>
         <oasis:entry colname="col3">Longitude</oasis:entry>
         <oasis:entry colname="col4">[NO<inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M266" display="inline"><mml:msub><mml:mi/><mml:mtext>amb</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">95 % CI</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">95 % CI</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M269" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">95 % CI</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">name</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">(nM)</oasis:entry>
         <oasis:entry colname="col5">(nM d<inline-formula><mml:math id="M270" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col6">(nM d<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>)</oasis:entry>
         <oasis:entry colname="col7">(nM)</oasis:entry>
         <oasis:entry colname="col8">(nM)</oasis:entry>
         <oasis:entry colname="col9"/>
         <oasis:entry colname="col10">(nM)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">St 01</oasis:entry>
         <oasis:entry colname="col2">37<inline-formula><mml:math id="M272" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>
         <oasis:entry colname="col3">19<inline-formula><mml:math id="M273" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col4">157</oasis:entry>
         <oasis:entry colname="col5">9.1</oasis:entry>
         <oasis:entry colname="col6">7.9 to 10</oasis:entry>
         <oasis:entry colname="col7">263</oasis:entry>
         <oasis:entry colname="col8">192 to 350</oasis:entry>
         <oasis:entry colname="col9">193</oasis:entry>
         <oasis:entry colname="col10">144 to 206</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">St 02</oasis:entry>
         <oasis:entry colname="col2">42<inline-formula><mml:math id="M274" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>
         <oasis:entry colname="col3">21<inline-formula><mml:math id="M275" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col4">108</oasis:entry>
         <oasis:entry colname="col5">5.2</oasis:entry>
         <oasis:entry colname="col6">4.8 to 5.5</oasis:entry>
         <oasis:entry colname="col7">134</oasis:entry>
         <oasis:entry colname="col8">109 to 163</oasis:entry>
         <oasis:entry colname="col9">115</oasis:entry>
         <oasis:entry colname="col10">105 to 119</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">St 03</oasis:entry>
         <oasis:entry colname="col2">45<inline-formula><mml:math id="M276" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>
         <oasis:entry colname="col3">22<inline-formula><mml:math id="M277" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col4">103</oasis:entry>
         <oasis:entry colname="col5">8.3</oasis:entry>
         <oasis:entry colname="col6">7.4 to 9.3</oasis:entry>
         <oasis:entry colname="col7">206</oasis:entry>
         <oasis:entry colname="col8">15 to 373</oasis:entry>
         <oasis:entry colname="col9">139</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula> to 163</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">St 04</oasis:entry>
         <oasis:entry colname="col2">50<inline-formula><mml:math id="M279" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>
         <oasis:entry colname="col3">26<inline-formula><mml:math id="M280" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col4">162</oasis:entry>
         <oasis:entry colname="col5">13</oasis:entry>
         <oasis:entry colname="col6">11 to 15</oasis:entry>
         <oasis:entry colname="col7">288</oasis:entry>
         <oasis:entry colname="col8">104 to 538</oasis:entry>
         <oasis:entry colname="col9">172</oasis:entry>
         <oasis:entry colname="col10">68 to 204</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">St 05</oasis:entry>
         <oasis:entry colname="col2">55<inline-formula><mml:math id="M281" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>
         <oasis:entry colname="col3">28<inline-formula><mml:math id="M282" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col4">212</oasis:entry>
         <oasis:entry colname="col5">14</oasis:entry>
         <oasis:entry colname="col6">13 to 15</oasis:entry>
         <oasis:entry colname="col7">329</oasis:entry>
         <oasis:entry colname="col8">183 to 458</oasis:entry>
         <oasis:entry colname="col9">245</oasis:entry>
         <oasis:entry colname="col10">138 to 272</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">St 06</oasis:entry>
         <oasis:entry colname="col2">62<inline-formula><mml:math id="M283" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>
         <oasis:entry colname="col3">30<inline-formula><mml:math id="M284" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col4">226</oasis:entry>
         <oasis:entry colname="col5">8.2</oasis:entry>
         <oasis:entry colname="col6">7.8 to 8.6</oasis:entry>
         <oasis:entry colname="col7">403</oasis:entry>
         <oasis:entry colname="col8">320 to 499</oasis:entry>
         <oasis:entry colname="col9">163</oasis:entry>
         <oasis:entry colname="col10">129 to 187</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">St 07</oasis:entry>
         <oasis:entry colname="col2">62<inline-formula><mml:math id="M285" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>
         <oasis:entry colname="col3">30<inline-formula><mml:math id="M286" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col4">226</oasis:entry>
         <oasis:entry colname="col5">6.6</oasis:entry>
         <oasis:entry colname="col6">6.0 to 7.4</oasis:entry>
         <oasis:entry colname="col7">317</oasis:entry>
         <oasis:entry colname="col8">234 to 395</oasis:entry>
         <oasis:entry colname="col9">237</oasis:entry>
         <oasis:entry colname="col10">190 to 255</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS2.SSS4">
  <label>2.2.4</label><?xmltex \opttitle{Revising the depth distribution of NO${}_{{2}}{}^{{-}}$ oxidation using $K_{\text{m}}$}?><title>Revising the depth distribution of NO<inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation using <inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></title>
      <p id="d1e4026">For the NO<inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation experiments conducted
at the Leg 2 hydrocast stations (i.e., depth-profile experiments; St 08 to
St 11), the Na<inline-formula><mml:math id="M290" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>NO<inline-formula><mml:math id="M291" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> was added to yield a final
<inline-formula><mml:math id="M292" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>NO<inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration of 200 nM at all the sampled depths.
However, at low ambient NO<inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations (<inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>–2 <inline-formula><mml:math id="M296" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>M), an amendment of this magnitude may stimulate NO<inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation,
leading to an overestimation of the in situ rates. We thus revised the measured
NO<inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">2</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> rates using our derived <inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values as
per
Rees et al. (1999), Diaz and Raimbault (2000), and Horak et al. (2013):
              <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M300" display="block"><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">corrNO</mml:mi><mml:mrow><mml:msub><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ox</mml:mi></mml:msub></mml:mrow><mml:mo>-</mml:mo></mml:msubsup><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:msub><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ox</mml:mi></mml:msub></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mo>[</mml:mo><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:msub><mml:mo>]</mml:mo><mml:mi mathvariant="normal">total</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>[</mml:mo><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:msub><mml:mo>]</mml:mo><mml:mi mathvariant="normal">total</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>[</mml:mo><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:msub><mml:mo>]</mml:mo><mml:mi mathvariant="normal">amb</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:msub><mml:mo>]</mml:mo><mml:mi mathvariant="normal">amb</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            Here, corrNO<inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">2</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is the revised rate of
NO<inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">2</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, NO<inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">2</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is the measured NO<inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
oxidation rate (Eq. 1), [NO<inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M306" display="inline"><mml:msub><mml:mi/><mml:mtext>amb</mml:mtext></mml:msub></mml:math></inline-formula> is the ambient
NO<inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration measured at each depth,
[NO<inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M309" display="inline"><mml:msub><mml:mi/><mml:mtext>total</mml:mtext></mml:msub></mml:math></inline-formula> refers to the concentration of
<inline-formula><mml:math id="M310" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>NO<inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> tracer plus NO<inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">2</mml:mn><mml:mtext>amb</mml:mtext></mml:msub></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the
derived half-saturation constant. We estimated a <inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for each sample
depth from the equation resulting from the linear regression of all derived
<inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values on [NO<inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M317" display="inline"><mml:msub><mml:mi/><mml:mtext>amb</mml:mtext></mml:msub></mml:math></inline-formula> (see Sect. 4.2 below). We also
computed corrNO<inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">2</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> using the <inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> derived from the Leg 1
kinetics experiment located nearest each hydrocast station, which yielded
very similar results. The values of corrNO<inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">2</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> presented here
were computed using the <inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values derived from the linear regression
equation. Rates of NH<inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation measured coincident with
NO<inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">2</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> on Leg 2 (see Mdutyana et al., 2022a)
were similarly revised (to yield corrNH<inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">4</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) using the
<inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values derived from kinetics experiments conducted during Leg 1 of
the cruise: for St 08 and St 09, <inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">137</mml:mn></mml:mrow></mml:math></inline-formula> nM; for St 10, <inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">67</mml:mn></mml:mrow></mml:math></inline-formula> nM; and for St 11, <inline-formula><mml:math id="M328" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula> nM.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS5">
  <label>2.2.5</label><?xmltex \opttitle{Isotopic dilution of ${}^{{15}}$NO${}_{{2}}{}^{{-}}$ by co-occurring NH${}_{{4}}{}^{{+}}$ oxidation}?><title>Isotopic dilution of <inline-formula><mml:math id="M329" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>NO<inline-formula><mml:math id="M330" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> by co-occurring NH<inline-formula><mml:math id="M331" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation</title>
      <p id="d1e4679">The focus of this study is the second step
in the nitrification pathway. However, not only will NO<inline-formula><mml:math id="M332" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> have
been consumed in our incubation bottles (i.e., oxidized to NO<inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>,
but it will also have been produced by NH<inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation, the first
step in the nitrification pathway. For all of our NO<inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation
rate experiments (kinetics and depth profile), we measured the coincident
rates of NH<inline-formula><mml:math id="M336" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation (Mdutyana et al., 2022a), and these data
can be used to account for any dilution of the <inline-formula><mml:math id="M337" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>NO<inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> pool by
<inline-formula><mml:math id="M339" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>NO<inline-formula><mml:math id="M340" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> produced from <inline-formula><mml:math id="M341" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>NH<inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation
(following the approach of
Glibert
et al., 1982, 1985, and Mulholland and Bernhardt, 2005). We found that
isotopic dilution in the mixed layer was minor because the ambient
NO<inline-formula><mml:math id="M343" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations were reasonably high (mean of <inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:mn mathvariant="normal">157</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">54</mml:mn></mml:mrow></mml:math></inline-formula> nM, range of 64 to 226 nM for all the depths at which experiments were
conducted; Fig. 1a–b), and the NH<inline-formula><mml:math id="M345" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rates were fairly
low (mean of <inline-formula><mml:math id="M346" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.0</mml:mn></mml:mrow></mml:math></inline-formula> nM d<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>, range of 7.8 to 22.0 nM d<inline-formula><mml:math id="M348" 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 Fig. 3f–j for the depth-profile rates and Mdutyana et al., 2022a, for
the kinetic station rates). Below the mixed layer where the ambient
NO<inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations were near-zero, so too were the NH<inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
oxidation rates, which again resulted in minimal dilution of the
<inline-formula><mml:math id="M351" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>NO<inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> pool. Accounting for isotope dilution increased the
NO<inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rates by 0 % to 12 % (mean of <inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> %
and median of <inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> %), which is within the experimental error
associated with the rate measurements; we thus consider the effect of
isotope dilution to be negligible</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e4966">Depth-profile experiments: water column (0–500 m) profiles of the
concentration of <bold>(a)</bold> nitrite ([NO<inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]) and <bold>(f)</bold> ammonium
([NH<inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]), and rates of NO<inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NH<inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation
at <bold>(b, g)</bold> St 08, 59<inline-formula><mml:math id="M360" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S (AZ), <bold>(c, h)</bold> St 09, 54<inline-formula><mml:math id="M361" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S
(AZ), <bold>(d, i)</bold> St 10, 48<inline-formula><mml:math id="M362" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S (PFZ), and <bold>(e, j)</bold> St 11,
43<inline-formula><mml:math id="M363" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S (SAZ). In <bold>(a, f)</bold>, the blue and green symbols
indicate the stations at which oxidation rates were measured, while the grey
symbols show data from the stations where no experiments were conducted. In
<bold>(b–e)</bold> and <bold>(g–j)</bold>, open symbols show the oxidation rates revised for
possible stimulation due to <inline-formula><mml:math id="M364" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N-tracer additions
(corrNO<inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">2</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and corrNH<inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">4</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>; Eq. 4), and
closed symbols show the uncorrected rates (Eq. 1). Error bars indicate
the range of measured values. Where error bars are not
visible, they are smaller than the data markers. The dashed lines connecting
the data points are included only to guide the eye and should not be taken
to imply interpolation with depth.</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/3425/2022/bg-19-3425-2022-f03.png"/>

          </fig>

</sec>
<sec id="Ch1.S2.SS2.SSS6">
  <label>2.2.6</label><title>Nitrate uptake rates</title>
      <p id="d1e5138">On shore, the GF-75 filters were oven-dried at 45<inline-formula><mml:math id="M367" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> C for 24 h, then pelletized into tin cups following the removal of unused
peripheral filter. The concentration and isotopic composition of the
particulate organic N (PON) captured on the filters was analyzed using a
Delta V Plus IRMS coupled to a Flash 2000 elemental analyzer, with a
detection limit of 1 <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g N and precision of <inline-formula><mml:math id="M369" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.005</mml:mn></mml:mrow></mml:math></inline-formula> At %. Blanks
(combusted unused filters <inline-formula><mml:math id="M370" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> tin capsules) and laboratory running standards
calibrated to international reference materials were run after every 5 to
10 samples. The absolute rates of NO<inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> uptake (<inline-formula><mml:math id="M372" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M373" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>; nM d<inline-formula><mml:math id="M374" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> were calculated after blank correction
according to the equations of Dugdale and Wilkerson (1986)
assuming a day-length of between 7 and 10 h, depending on the station
latitude. To compute the fraction of the mixed-layer NO<inline-formula><mml:math id="M375" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> pool
consumed by phytoplankton that derived from in situ nitrification, we
trapezoidally integrated <inline-formula><mml:math id="M376" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M377" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and corrNO<inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">2</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
over the mixed layer following
Mdutyana et al. (2020), and then
divided the integrated values of corrNO<inline-formula><mml:math id="M379" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">2</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> by <inline-formula><mml:math id="M380" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M381" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>.</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Hydrography and nutrient concentrations</title>
      <p id="d1e5323">The positions of the major hydrographic fronts during both legs of the
cruise are shown in Fig. 1a. At the hydrocast stations (Leg 2), the mixed-layer depth (MLD) averaged 143 m in the OAZ, 146 m in the PFZ, 205 m in the
SAZ, and 113 m in the STZ, which is within the reported climatological range
for the western Indian sector of the Southern Ocean in winter (Sallée et
al., 2010). Underway ambient NO<inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations (Leg 1) ranged
from 74 to 232 nM (transect average of <inline-formula><mml:math id="M383" display="inline"><mml:mrow><mml:mn mathvariant="normal">168</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">48</mml:mn></mml:mrow></mml:math></inline-formula> nM, median of 177 nM) and generally increased with latitude, albeit with a high degree of
variability (Figs. 1a, S2). The ambient NO<inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
concentrations at the hydrocast stations were fairly constant throughout the
mixed layer (ranging from <inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:mn mathvariant="normal">55</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:mn mathvariant="normal">159</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">73</mml:mn></mml:mrow></mml:math></inline-formula> nM), decreasing
rapidly to values below detection by 150–200 m (Fig. 1b). Mixed-layer
NO<inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> showed no clear latitudinal trend mainly because of the
anomalously low concentrations measured at St 09 (54<inline-formula><mml:math id="M388" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S;
mixed-layer average of <inline-formula><mml:math id="M389" display="inline"><mml:mrow><mml:mn mathvariant="normal">64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> nM, compared to <inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:mn mathvariant="normal">144</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">56</mml:mn></mml:mrow></mml:math></inline-formula> nM for the
seven other hydrocast stations). The NO<inline-formula><mml:math id="M391" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations were also
near-homogenous throughout the mixed layer, decreasing from an average of
<inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:mn mathvariant="normal">28.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M393" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>M at the southernmost station (St 08; 59<inline-formula><mml:math id="M394" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S) to <inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M396" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>M at the northernmost station (41<inline-formula><mml:math id="M397" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S)
and increasing below the mixed layer as expected (Fig. 1c).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><?xmltex \opttitle{NO${}_{{2}}{}^{{-}}$ oxidation rates}?><title>NO<inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rates</title>
<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><title>Kinetics experiments</title>
      <p id="d1e5531">At all the kinetic stations (St 01 to St 07; Leg 1), an MM curve could be
fit to the NO<inline-formula><mml:math id="M399" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rate versus substrate concentration
measurements using Eq. (3) (Fig. 2). The derived kinetic parameters
varied across the transect (Table 1). The maximum NO<inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation
rate (<inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> increased southwards from <inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> nM d<inline-formula><mml:math id="M403" 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
the STF (St 02; Fig. 2b) to <inline-formula><mml:math id="M404" display="inline"><mml:mrow><mml:mn mathvariant="normal">13</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula> nM d<inline-formula><mml:math id="M405" 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 AZ (St 05;
Fig. 2e), before decreasing in the MIZ to <inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> nM d<inline-formula><mml:math id="M407" 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
St 06 (Fig. 2f) and <inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> nM at St 07 (Fig. 2g). The average
<inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for the transect was <inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula> nM d<inline-formula><mml:math id="M411" 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
half-saturation constant (<inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> increased from <inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:mn mathvariant="normal">134</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8.0</mml:mn></mml:mrow></mml:math></inline-formula> nM at the
STF (St 02) to <inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:mn mathvariant="normal">403</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula> nM in the MIZ (St 06), with a transect average
of <inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:mn mathvariant="normal">277</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">31</mml:mn></mml:mrow></mml:math></inline-formula> nM. The value of <inline-formula><mml:math id="M416" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula> showed a positive relationship with
[NO<inline-formula><mml:math id="M417" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M418" display="inline"><mml:msub><mml:mi/><mml:mtext>amb</mml:mtext></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M419" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.59</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M420" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.045</mml:mn></mml:mrow></mml:math></inline-formula>) and no strong
relationship with latitude, and it ranged from <inline-formula><mml:math id="M421" display="inline"><mml:mrow><mml:mn mathvariant="normal">115</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.3</mml:mn></mml:mrow></mml:math></inline-formula> nM at the STF
(St 02) to <inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:mn mathvariant="normal">245</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula> nM in the AZ (St 05), with a transect average of
<inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:mn mathvariant="normal">181</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">45</mml:mn></mml:mrow></mml:math></inline-formula> nM.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><title>Depth-profile experiments</title>
      <p id="d1e5842">NO<inline-formula><mml:math id="M424" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rates at St 08 to St 11, calculated using
Eq. (1), were low and largely invariant over the upper 75 m, ranging from
1.9 to 9.7 nM d<inline-formula><mml:math id="M425" 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 <inline-formula><mml:math id="M426" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.4</mml:mn></mml:mrow></mml:math></inline-formula> nM d<inline-formula><mml:math id="M427" 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>; filled
symbols in Fig. 3b–e). All stations showed a maximum NO<inline-formula><mml:math id="M428" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
oxidation rate at 200 m (roughly coincident with or just below the MLD),
ranging between 11 and 28 nM d<inline-formula><mml:math id="M429" 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 <inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:mn mathvariant="normal">18</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.0</mml:mn></mml:mrow></mml:math></inline-formula> nM d<inline-formula><mml:math id="M431" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The NO<inline-formula><mml:math id="M432" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rates showed a latitudinal gradient,
with lower rates in the AZ (St 08 and St 09) than in the PFZ (St 10) and SAZ
(St 11).</p>
      <p id="d1e5957">Revising the NO<inline-formula><mml:math id="M433" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rates using Eq. (4) decreased their
0–75 m values by 13 % to 26 % (i.e., corrNO<inline-formula><mml:math id="M434" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">2</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> ranged from
1.6 to 8.5 nM d<inline-formula><mml:math id="M435" 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 averaged <inline-formula><mml:math id="M436" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.0</mml:mn></mml:mrow></mml:math></inline-formula> nM d<inline-formula><mml:math id="M437" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> over the
upper 75 m; open symbols in Fig. 3b–e). The largest decrease (of 39 % to
68 %) occurred at 200 and 500 m, coinciding with the very low ambient
NO<inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations (Fig. 3a). Nonetheless, at all but St 08,
the maximum NO<inline-formula><mml:math id="M439" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rate was still observed at 200 m,
although its magnitude was lower. The coincidentally measured and revised
NH<inline-formula><mml:math id="M440" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rates (corrNH<inline-formula><mml:math id="M441" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">4</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) showed a similar
pattern, with the largest decrease occurring at the depths with the lowest
ambient NH<inline-formula><mml:math id="M442" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations (Fig. 3f–j) – over the upper 75 m,
the rates decreased by 1 % to 9 % at St 08 to St 10 where the mixed-layer
NH<inline-formula><mml:math id="M443" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations averaged <inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:mn mathvariant="normal">263</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.3</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M445" display="inline"><mml:mrow><mml:mn mathvariant="normal">655</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> nM,
while at St 11 where the mixed-layer NH<inline-formula><mml:math id="M446" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration averaged
<inline-formula><mml:math id="M447" display="inline"><mml:mrow><mml:mn mathvariant="normal">13</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn></mml:mrow></mml:math></inline-formula> nM, the rates decreased by <inline-formula><mml:math id="M448" display="inline"><mml:mrow><mml:mn mathvariant="normal">40</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">23</mml:mn></mml:mrow></mml:math></inline-formula> %. Similar to the
NO<inline-formula><mml:math id="M449" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rates, the NH<inline-formula><mml:math id="M450" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rates decreased
most at 200 and 500 m, by between 33 % and 70 %. Hereafter, we use the
revised NO<inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NH<inline-formula><mml:math id="M452" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rates
(corrNO<inline-formula><mml:math id="M453" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">2</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and corrNH<inline-formula><mml:math id="M454" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">4</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, respectively) when
referring to the depth distributions of these processes, including in
Figs. 5 and 6. We note, however, that the revised rates may still not be
accurate since <inline-formula><mml:math id="M455" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was not derived separately for each depth at each
station (Horak et al., 2013).
Nonetheless, because of the high concentration of the <inline-formula><mml:math id="M456" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N-tracer
amendments relative to all derived <inline-formula><mml:math id="M457" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values, we are confident that the
revised rates are more representative of in situ conditions than the rates computed
using Eq. (1).</p>
</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><?xmltex \opttitle{NO${}_{{3}}{}^{{-}}$ uptake rates}?><title>NO<inline-formula><mml:math id="M458" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> uptake rates</title>
      <p id="d1e6297">The rates of NO<inline-formula><mml:math id="M459" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> uptake (<inline-formula><mml:math id="M460" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M461" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> were low and
relatively homogenous over the upper 75 m at each station (Fig. S3a).
Average euphotic zone <inline-formula><mml:math id="M462" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M463" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> increased northwards, from <inline-formula><mml:math id="M464" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula> nM d<inline-formula><mml:math id="M465" 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 St 08 in the AZ to <inline-formula><mml:math id="M466" display="inline"><mml:mrow><mml:mn mathvariant="normal">12</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.0</mml:mn></mml:mrow></mml:math></inline-formula> nM d<inline-formula><mml:math id="M467" 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
St 11 in the SAZ, with a transect average of <inline-formula><mml:math id="M468" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.4</mml:mn></mml:mrow></mml:math></inline-formula> nM d<inline-formula><mml:math id="M469" 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 euphotic zone PON concentrations also increased northwards, from <inline-formula><mml:math id="M470" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.24</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M471" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>M at St 08 to <inline-formula><mml:math id="M472" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.47</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="M473" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>M at St 11 (Fig. S3b). Integrated over the mixed layer, corrNO<inline-formula><mml:math id="M474" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">2</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> accounted
for an average of 122 % of <inline-formula><mml:math id="M475" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M476" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (range of 63 % at St 09
to 237 % at St 08; Table S2), consistent with previous
observations from the wintertime Southern Ocean (Mdutyana et al., 2020).</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
      <p id="d1e6511">Across all the major zones of the wintertime Southern Ocean, the addition of
NO<inline-formula><mml:math id="M477" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> to samples of surface seawater stimulated NO<inline-formula><mml:math id="M478" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
oxidation following a Michaelis–Menten relationship, suggesting that
substrate availability plays a dominant role in determining the rate of
NO<inline-formula><mml:math id="M479" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> production in the Southern Ocean's winter mixed layer.
Curiously, however, we also observed an apparent minimum substrate
requirement of NO<inline-formula><mml:math id="M480" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation (i.e., a “threshold”
NO<inline-formula><mml:math id="M481" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration, ranging from 115 to 245 nM), which contradicts
expectations for a “classical” Michaelis–Menten relationship (i.e., <inline-formula><mml:math id="M482" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> is
expected to increase as soon as <inline-formula><mml:math id="M483" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, assuming <inline-formula><mml:math id="M484" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> is limiting to
<inline-formula><mml:math id="M485" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula>; Monod, 1942). Below, we examine our findings in the
context of existing estimates of NO<inline-formula><mml:math id="M486" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation kinetic parameters
and then evaluate the potential drivers of the trends that we observe. We
also discuss possible reasons for the apparent requirement of Southern Ocean
NOB for a threshold ambient NO<inline-formula><mml:math id="M487" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration and consider the
implications thereof for the regional N cycle.</p>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><?xmltex \opttitle{Southern Ocean NO${}_{{2}}{}^{{-}}$ oxidation kinetic parameters in the
context of existing estimates}?><title>Southern Ocean NO<inline-formula><mml:math id="M488" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation kinetic parameters in the
context of existing estimates</title>
      <p id="d1e6652">Measurements of NO<inline-formula><mml:math id="M489" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rates are limited in the Southern
Ocean, with only two studies that have directly measured this pathway in
open ocean waters
(Bianchi
et al., 1997; Mdutyana et al., 2020). For NO<inline-formula><mml:math id="M490" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation kinetics,
there are no data at all for the Southern Ocean. This scarcity of
measurements is unsurprising given that in situ NO<inline-formula><mml:math id="M491" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation kinetics
studies are generally limited; indeed, to our knowledge, there are only two
studies from the coastal ocean
(Olson, 1981a; Zhang et al., 2020)
and two from the eastern tropical North Pacific oxygen deficient zone
(ETNP ODZ; with these
experiments conducted across a range of ambient oxygen concentrations; Sun
et al., 2017, 2021). By contrast, there exist numerous estimates of
NO<inline-formula><mml:math id="M492" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation kinetic parameters determined using cultured marine
NOB
(e.g.,
Jacob et al., 2017; Kits et al., 2017; Nowka et al., 2015; Sorokin et al.,
2012; Zhang et al., 2020). In general, culture experiments suggest far
higher kinetic constants compared to the limited in situ observations from the
ocean, particularly for <inline-formula><mml:math id="M493" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (i.e., culture-based <inline-formula><mml:math id="M494" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> estimates of
9–544 <inline-formula><mml:math id="M495" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>M; Blackburne et al.,
2007; Nowka et al., 2015; Ushiki et al., 2017).</p>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e6737">A selection of previously derived <inline-formula><mml:math id="M496" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M497" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values from
the open ocean, along with the concurrently measured ambient concentrations
of nitrite ([NO<inline-formula><mml:math id="M498" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M499" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>amb</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The numbers in parenthesis are
standard errors.</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="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Region</oasis:entry>
         <oasis:entry colname="col2">[NO<inline-formula><mml:math id="M500" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col3">Sampled depth</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M501" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M502" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">Reference</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(nM)</oasis:entry>
         <oasis:entry colname="col3">(m)</oasis:entry>
         <oasis:entry colname="col4">(nM)</oasis:entry>
         <oasis:entry colname="col5">(nM d<inline-formula><mml:math id="M503" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Indian Southern Ocean: St 01: 37<inline-formula><mml:math id="M504" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>
         <oasis:entry colname="col2">157</oasis:entry>
         <oasis:entry colname="col3">7</oasis:entry>
         <oasis:entry colname="col4">263 (16)</oasis:entry>
         <oasis:entry colname="col5">9.1 (0.5)</oasis:entry>
         <oasis:entry colname="col6">This study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Indian Southern Ocean: St 02: 42<inline-formula><mml:math id="M505" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>
         <oasis:entry colname="col2">108</oasis:entry>
         <oasis:entry colname="col3">7</oasis:entry>
         <oasis:entry colname="col4">134 (8)</oasis:entry>
         <oasis:entry colname="col5">5.2 (0.1)</oasis:entry>
         <oasis:entry colname="col6">This study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Indian Southern Ocean: St 03: 45<inline-formula><mml:math id="M506" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>
         <oasis:entry colname="col2">103</oasis:entry>
         <oasis:entry colname="col3">7</oasis:entry>
         <oasis:entry colname="col4">206 (30)</oasis:entry>
         <oasis:entry colname="col5">8.3 (0.4)</oasis:entry>
         <oasis:entry colname="col6">This study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Indian Southern Ocean: St 04: 51<inline-formula><mml:math id="M507" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>
         <oasis:entry colname="col2">162</oasis:entry>
         <oasis:entry colname="col3">7</oasis:entry>
         <oasis:entry colname="col4">288 (52)</oasis:entry>
         <oasis:entry colname="col5">13 (0.7)</oasis:entry>
         <oasis:entry colname="col6">This study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Indian Southern Ocean: St 05: 56<inline-formula><mml:math id="M508" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>
         <oasis:entry colname="col2">212</oasis:entry>
         <oasis:entry colname="col3">7</oasis:entry>
         <oasis:entry colname="col4">329 (29)</oasis:entry>
         <oasis:entry colname="col5">14 (0.4)</oasis:entry>
         <oasis:entry colname="col6">This study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Indian Southern Ocean: St 06: 62<inline-formula><mml:math id="M509" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>
         <oasis:entry colname="col2">226</oasis:entry>
         <oasis:entry colname="col3">7</oasis:entry>
         <oasis:entry colname="col4">403 (24)</oasis:entry>
         <oasis:entry colname="col5">8.2 (0.1)</oasis:entry>
         <oasis:entry colname="col6">This study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Indian Southern Ocean: St 07: 62<inline-formula><mml:math id="M510" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>
         <oasis:entry colname="col2">226</oasis:entry>
         <oasis:entry colname="col3">7</oasis:entry>
         <oasis:entry colname="col4">317 (20)</oasis:entry>
         <oasis:entry colname="col5">6.6 (0.3)</oasis:entry>
         <oasis:entry colname="col6">This study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Southern California Bight</oasis:entry>
         <oasis:entry colname="col2">20</oasis:entry>
         <oasis:entry colname="col3">60</oasis:entry>
         <oasis:entry colname="col4">70</oasis:entry>
         <oasis:entry colname="col5">nd</oasis:entry>
         <oasis:entry colname="col6">Olson (1981a)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Eastern tropical North Pacific</oasis:entry>
         <oasis:entry colname="col2">100</oasis:entry>
         <oasis:entry colname="col3">53</oasis:entry>
         <oasis:entry colname="col4">281 (151)</oasis:entry>
         <oasis:entry colname="col5">63 (14)</oasis:entry>
         <oasis:entry colname="col6">Sun et al. (2017)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Eastern tropical North Pacific</oasis:entry>
         <oasis:entry colname="col2">50</oasis:entry>
         <oasis:entry colname="col3">170</oasis:entry>
         <oasis:entry colname="col4">227 (55)</oasis:entry>
         <oasis:entry colname="col5">56 (5.4)</oasis:entry>
         <oasis:entry colname="col6">Sun et al. (2017)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">South China Sea</oasis:entry>
         <oasis:entry colname="col2">51</oasis:entry>
         <oasis:entry colname="col3">110</oasis:entry>
         <oasis:entry colname="col4">195 (33)</oasis:entry>
         <oasis:entry colname="col5">30 (1.6)</oasis:entry>
         <oasis:entry colname="col6">Zhang et al. (2020)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">South China Sea</oasis:entry>
         <oasis:entry colname="col2">71</oasis:entry>
         <oasis:entry colname="col3">95</oasis:entry>
         <oasis:entry colname="col4">175 (37)</oasis:entry>
         <oasis:entry colname="col5">24 (1.5)</oasis:entry>
         <oasis:entry colname="col6">Zhang et al. (2020)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">South China Sea</oasis:entry>
         <oasis:entry colname="col2">31</oasis:entry>
         <oasis:entry colname="col3">150</oasis:entry>
         <oasis:entry colname="col4">49 (15)</oasis:entry>
         <oasis:entry colname="col5">9.6 (0.6)</oasis:entry>
         <oasis:entry colname="col6">Zhang et al. (2020)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">South China Sea</oasis:entry>
         <oasis:entry colname="col2">185</oasis:entry>
         <oasis:entry colname="col3">75</oasis:entry>
         <oasis:entry colname="col4">506 (82)</oasis:entry>
         <oasis:entry colname="col5">12 (0.8)</oasis:entry>
         <oasis:entry colname="col6">Zhang et al. (2020)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">South China Sea</oasis:entry>
         <oasis:entry colname="col2">34</oasis:entry>
         <oasis:entry colname="col3">200</oasis:entry>
         <oasis:entry colname="col4">27 (11)</oasis:entry>
         <oasis:entry colname="col5">4.6 (0.3)</oasis:entry>
         <oasis:entry colname="col6">Zhang et al. (2020)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Subtropical South Atlantic</oasis:entry>
         <oasis:entry colname="col2">14</oasis:entry>
         <oasis:entry colname="col3">150</oasis:entry>
         <oasis:entry colname="col4">74 (29)</oasis:entry>
         <oasis:entry colname="col5">22 (0.7)</oasis:entry>
         <oasis:entry colname="col6">Sarah Fawcett et al. (unpublished data)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Subtropical South Atlantic</oasis:entry>
         <oasis:entry colname="col2">152</oasis:entry>
         <oasis:entry colname="col3">150</oasis:entry>
         <oasis:entry colname="col4">167 (4.3)</oasis:entry>
         <oasis:entry colname="col5">27 (0.2)</oasis:entry>
         <oasis:entry colname="col6">Sarah Fawcett et al. (unpublished data)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e6786">nd: not determined.</p></table-wrap-foot></table-wrap>

      <?xmltex \floatpos{p}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e7339">Potential controls on the kinetic parameters associated with
NO<inline-formula><mml:math id="M511" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation. <inline-formula><mml:math id="M512" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M513" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are shown as a function of <bold>(a, d)</bold> latitude, <bold>(b, e)</bold> sea surface temperature (SST), and <bold>(c, f)</bold> the
ambient nitrite concentration ([NO<inline-formula><mml:math id="M514" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M515" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>amb</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Vertical error
bars show the propagated error associated with <inline-formula><mml:math id="M516" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M517" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
computed using a nonlinear, least-squares optimization method (SciPy lmfit
package, Python 3.7.6), while the symbols and horizontal error bars in
<bold>(b, e)</bold> indicate the average (<inline-formula><mml:math id="M518" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> standard deviation) SST
experienced by the sampled communities during the incubations. In <bold>(f)</bold> black symbols show our Southern Ocean data, maroon symbols show <inline-formula><mml:math id="M519" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
values from the South China Sea (SCS; Zhang et al., 2020), the blue symbol
shows the <inline-formula><mml:math id="M520" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> value derived for the Southern California Bight (SCB; Olson
1981a), the green symbol shows <inline-formula><mml:math id="M521" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values from the eastern tropical North
Pacific oxygen deficient zone (ETNP; Sun et al. 2017), and the red symbols
show <inline-formula><mml:math id="M522" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values derived for the subtropical southeast Atlantic (SSA;
Sarah Fawcett et al., unpublished data).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/3425/2022/bg-19-3425-2022-f04.png"/>

        </fig>

      <p id="d1e7499">The high <inline-formula><mml:math id="M523" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values derived for cultured NOB suggest that the affinity
of these organisms for NO<inline-formula><mml:math id="M524" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is low. However, this is not what is
observed in the environment, which indicates that the most abundant marine
NOB are not represented in the culture collection. For the Southern Ocean,
we report high substrate affinities of NOB, with <inline-formula><mml:math id="M525" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values ranging from
134 to 403 nM, which is within the range documented for oxygenated
coastal and open ocean waters (27–506 nM; Olson, 1981a; Zhang et al., 2020)
(Table 2). In the low- to zero-oxygen waters of the ETNP ODZ, similarly low
<inline-formula><mml:math id="M526" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values have been reported (<inline-formula><mml:math id="M527" display="inline"><mml:mrow><mml:mn mathvariant="normal">254</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">161</mml:mn></mml:mrow></mml:math></inline-formula> nM; Sun et al., 2017),
although values <inline-formula><mml:math id="M528" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M529" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>M have also been observed
(Sun et al., 2021), with these latter estimates
associated with ambient NO<inline-formula><mml:math id="M530" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations &gt;1 <inline-formula><mml:math id="M531" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>M. We explore the relationship between ambient NO<inline-formula><mml:math id="M532" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration
and <inline-formula><mml:math id="M533" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in detail in Sect. 4.2 below. Here, our focus is on the <inline-formula><mml:math id="M534" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
values derived under conditions of low ambient NO<inline-formula><mml:math id="M535" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (i.e.,
&lt; 250 nM) given that (some of) the environmental factors affecting
NO<inline-formula><mml:math id="M536" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation at high ambient NO<inline-formula><mml:math id="M537" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations
appear to be unique. For example, oxygen has been shown to decrease the rate
of NO<inline-formula><mml:math id="M538" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation in the ODZs (Sun et al., 2017, 2021) where novel
clades of NOB have been detected (Sun et al., 2021). Additionally,
NO<inline-formula><mml:math id="M539" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations in the oxygenated open ocean seldom exceed 250 nM (Zakem et al., 2018), in contrast to the ODZs
(Bristow
et al., 2016; Füssel et al., 2012).</p>
      <p id="d1e7693">Across our Southern Ocean transect, <inline-formula><mml:math id="M540" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> ranged from 5 to 14 nM d<inline-formula><mml:math id="M541" 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>, which is relatively low compared to estimates from other regions
(Table 2), although such a comparison may not be particularly informative as
our rates (and typically those of others) are not normalized for NOB
abundance. Our <inline-formula><mml:math id="M542" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> estimates are also low compared to a previous study
of mixed-layer nitrification in the winter Southern Ocean (Mdutyana et al.,
2020). This difference may be partly due to the fact that the kinetics
experiments were conducted using surface (<inline-formula><mml:math id="M543" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> m) seawater (and
thus, the surface NOB community that had been exposed to surface conditions,
including elevated light), yet the highest rates of NO<inline-formula><mml:math id="M544" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation
typically occur near the base of the mixed layer, including in the Southern
Ocean
(Fig. 3b–e; Mdutyana et al., 2020; Peng et al., 2018; Sun et al., 2017). The
opposite pattern has also been observed, however (although not in the
Southern Ocean), with deeper samples yielding a lower <inline-formula><mml:math id="M545" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> than samples
collected in shallow waters (Sun et al., 2017; Zhang et al., 2020).</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><?xmltex \opttitle{Environmental drivers of the NO${}_{{2}}{}^{{-}}$ oxidation kinetic parameters}?><title>Environmental drivers of the NO<inline-formula><mml:math id="M546" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation kinetic parameters</title>
      <p id="d1e7785">We report maximum NO<inline-formula><mml:math id="M547" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rates that generally increase
towards the south and with decreasing sea surface temperature (SST; recognizing that these parameters
co-vary), although St 01 in the STZ and St 06 and St 07 in the MIZ deviate from
this trend (Fig. 4a and b; <inline-formula><mml:math id="M548" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.019</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M549" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.77</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M550" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.12</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M551" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.45</mml:mn></mml:mrow></mml:math></inline-formula>, respectively, when all the stations are considered and
<inline-formula><mml:math id="M552" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.92</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M553" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.041</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M554" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.94</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M555" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.029</mml:mn></mml:mrow></mml:math></inline-formula>, respectively,
when Sts 01, 06, and 07 are excluded). It is possible that changes in the NOB
community (composition and/or abundance) across the transect explain some
of the observed variability. Nonetheless, taking latitude as a qualitative
proxy for light, it is perhaps unsurprising that the maximum NO<inline-formula><mml:math id="M556" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
oxidation rates increase southwards given that NOB are known to be at least
partially light inhibited
(Olson,
1981b; Peng et al., 2018; Ward, 2005). This explanation does not hold for
the stations in the MIZ, however, at which <inline-formula><mml:math id="M557" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> decreases sharply
despite these waters receiving the least light (less than 5 h of weak
sunlight versus <inline-formula><mml:math id="M558" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> h at 55<inline-formula><mml:math id="M559" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S to
<inline-formula><mml:math id="M560" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula> h at 37<inline-formula><mml:math id="M561" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S). The temperature at the
MIZ stations was <inline-formula><mml:math id="M562" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> C, which raises the possibility of a
temperature effect on <inline-formula><mml:math id="M563" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. Indeed, we previously observed a strong
decline in the <inline-formula><mml:math id="M564" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> associated with NH<inline-formula><mml:math id="M565" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation at SSTs
<inline-formula><mml:math id="M566" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> C in the Southern Ocean, while at SSTs ranging from
0.6 to 16<inline-formula><mml:math id="M567" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> C, <inline-formula><mml:math id="M568" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was near invariant
(Mdutyana et al., 2022a).</p>
      <p id="d1e8054">Marine nitrification has been reported to be largely unaffected by
temperature variations
(Baer
et al., 2014; Bianchi et al., 1997; Horak et al., 2013), although
NH<inline-formula><mml:math id="M569" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M570" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation may respond differently to
similar changes in temperature. For example, marine NOB incubated at
temperatures ranging from 10 to 35<inline-formula><mml:math id="M571" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> C responded far
more slowly to an increase in temperature than co-incubated AOA, resulting
in an accumulation of NO<inline-formula><mml:math id="M572" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> in the incubation bottles
(Schaefer and Hollibaugh, 2017). By contrast, we
previously observed no robust relationship between temperature and the
maximum NH<inline-formula><mml:math id="M573" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rate in the Southern Ocean (Mdutyana et
al., 2022a), a finding that is consistent with studies of NH<inline-formula><mml:math id="M574" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
oxidation in the Arctic and temperate coastal ocean
(Baer
et al., 2014; Horak et al., 2013). Far less work has been done to assess the
response of NOB to temperature changes. In the absence of experiments
specifically designed to test the response of Southern Ocean NOB to
temperature, it is difficult to disentangle the effect(s) on NO<inline-formula><mml:math id="M575" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
oxidation of temperature versus light (and possibly other parameters that co-vary
with latitude, such as NO<inline-formula><mml:math id="M576" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and/or micronutrient availability).</p>
      <p id="d1e8151">Plotting <inline-formula><mml:math id="M577" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> as a function of the ambient substrate concentration
([NO<inline-formula><mml:math id="M578" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M579" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>amb</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> reveals a strong positive relationship for all
but the MIZ stations (Fig. 4c; <inline-formula><mml:math id="M580" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.73</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M581" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.065</mml:mn></mml:mrow></mml:math></inline-formula> if the MIZ
stations are excluded). In particular, the STZ station (St 01), which
appeared anomalous in the plots of <inline-formula><mml:math id="M582" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> versus latitude and SST, is
consistent with the other non-MIZ stations when evaluated in <inline-formula><mml:math id="M583" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
versus [NO<inline-formula><mml:math id="M584" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M585" display="inline"><mml:msub><mml:mi/><mml:mtext>amb</mml:mtext></mml:msub></mml:math></inline-formula> space. The positive relationship of
<inline-formula><mml:math id="M586" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> to [NO<inline-formula><mml:math id="M587" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M588" display="inline"><mml:msub><mml:mi/><mml:mtext>amb</mml:mtext></mml:msub></mml:math></inline-formula> could be taken as evidence that
NO<inline-formula><mml:math id="M589" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> availability strongly controls the maximum achievable rate of
NO<inline-formula><mml:math id="M590" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation. However, <inline-formula><mml:math id="M591" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> varies four-fold across the
transect, while [NO<inline-formula><mml:math id="M592" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M593" display="inline"><mml:msub><mml:mi/><mml:mtext>amb</mml:mtext></mml:msub></mml:math></inline-formula> only changes by a factor of 2, and
[NO<inline-formula><mml:math id="M594" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M595" display="inline"><mml:msub><mml:mi/><mml:mtext>amb</mml:mtext></mml:msub></mml:math></inline-formula> is also correlated with latitude (<inline-formula><mml:math id="M596" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.51</mml:mn></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M597" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula> for all surface [NO<inline-formula><mml:math id="M598" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M599" display="inline"><mml:msub><mml:mi/><mml:mtext>amb</mml:mtext></mml:msub></mml:math></inline-formula> data; Fig. S2).
Additionally, previous wintertime Southern Ocean NO<inline-formula><mml:math id="M600" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation
rates (albeit not <inline-formula><mml:math id="M601" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> showed no relationship with ambient
NO<inline-formula><mml:math id="M602" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration
(Bianchi
et al., 1997; Mdutyana et al., 2020). The extent to which <inline-formula><mml:math id="M603" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is
directly controlled by [NO<inline-formula><mml:math id="M604" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M605" display="inline"><mml:msub><mml:mi/><mml:mtext>amb</mml:mtext></mml:msub></mml:math></inline-formula> is thus unclear, and it is
likely that NOB community composition, light availability, and temperature
also play a role, with SST perhaps becoming more important at very low
temperatures (i.e., in the MIZ).</p>
      <p id="d1e8490">Our estimates of <inline-formula><mml:math id="M606" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> reveal that NOB in the wintertime Southern Ocean
have a high affinity for NO<inline-formula><mml:math id="M607" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> that appears to decrease (i.e., the
<inline-formula><mml:math id="M608" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> rises) at higher latitudes (i.e., lower light) and lower
temperatures, with St 01 in the STZ again emerging as an exception (Fig. 4d and e; <inline-formula><mml:math id="M609" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.86</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M610" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.008</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M611" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.86</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M612" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.008</mml:mn></mml:mrow></mml:math></inline-formula>,
respectively). Plotting our <inline-formula><mml:math id="M613" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values as a function of
[NO<inline-formula><mml:math id="M614" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M615" display="inline"><mml:msub><mml:mi/><mml:mtext>amb</mml:mtext></mml:msub></mml:math></inline-formula> reveals a strong positive relationship (Fig. 4f;
<inline-formula><mml:math id="M616" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.83</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M617" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.004</mml:mn></mml:mrow></mml:math></inline-formula>; black data points), implying that
NO<inline-formula><mml:math id="M618" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> availability rather than temperature or light exerts the
dominant control on <inline-formula><mml:math id="M619" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. This trend further suggests that NOB are
well-adapted to the environment (or Southern Ocean region) in which they are
found. Southern Ocean mixed-layer NO<inline-formula><mml:math id="M620" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations are almost
never <inline-formula><mml:math id="M621" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">150</mml:mn></mml:mrow></mml:math></inline-formula> nM, regardless of the season
(Fripiat
et al., 2019; Mdutyana et al., 2020; Zakem et al., 2018), yet the
relationship of <inline-formula><mml:math id="M622" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> to [NO<inline-formula><mml:math id="M623" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M624" display="inline"><mml:msub><mml:mi/><mml:mtext>amb</mml:mtext></mml:msub></mml:math></inline-formula> also holds at far lower
NO<inline-formula><mml:math id="M625" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations. The colored data points in Fig. 4f show
<inline-formula><mml:math id="M626" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> versus [NO<inline-formula><mml:math id="M627" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M628" display="inline"><mml:msub><mml:mi/><mml:mtext>amb</mml:mtext></mml:msub></mml:math></inline-formula> for four additional regions where a
Michaelis–Menten relationship of NO<inline-formula><mml:math id="M629" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rate to
NO<inline-formula><mml:math id="M630" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration was observed and where [NO<inline-formula><mml:math id="M631" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M632" display="inline"><mml:msub><mml:mi/><mml:mtext>amb</mml:mtext></mml:msub></mml:math></inline-formula>
was <inline-formula><mml:math id="M633" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">250</mml:mn></mml:mrow></mml:math></inline-formula> nM (two coastal ocean sites, the South China Sea (SCS;
Zhang et al., 2020) and Southern California
Bight (SCB; Olson, 1981a); one oligotrophic ocean site,
the subtropical southeast Atlantic (SSA; Sarah Fawcett et al., unpublished data); and two
stations from the ETNP ODZ, where oxygen concentrations ranged from 0 to 16.8 <inline-formula><mml:math id="M634" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>M (Sun et al., 2017)). The robust positive relationship of
<inline-formula><mml:math id="M635" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> to [NO<inline-formula><mml:math id="M636" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M637" display="inline"><mml:msub><mml:mi/><mml:mtext>amb</mml:mtext></mml:msub></mml:math></inline-formula> that emerges when these previous results
are combined with our Southern Ocean data (<inline-formula><mml:math id="M638" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.68</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M639" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>) strongly implicates [NO<inline-formula><mml:math id="M640" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M641" display="inline"><mml:msub><mml:mi/><mml:mtext>amb</mml:mtext></mml:msub></mml:math></inline-formula> as the dominant control
on the <inline-formula><mml:math id="M642" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of NO<inline-formula><mml:math id="M643" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation in the ocean, particularly at low
[NO<inline-formula><mml:math id="M644" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M645" display="inline"><mml:msub><mml:mi/><mml:mtext>amb</mml:mtext></mml:msub></mml:math></inline-formula> (i.e., <inline-formula><mml:math id="M646" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">250</mml:mn></mml:mrow></mml:math></inline-formula> nM).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e8966">Euphotic zone (0–75 m) revised rates of NO<inline-formula><mml:math id="M647" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation
(corrNO<inline-formula><mml:math id="M648" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">2</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) measured at the depth-profile stations (St 08 to
St 11) plotted against coincident dissolved iron concentrations ([DFe]). Error
bars indicate the range of measured values. Where
errors bars are not visible, they are smaller than the data markers.</p></caption>
          <?xmltex \igopts{width=156.490157pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/3425/2022/bg-19-3425-2022-f05.png"/>

        </fig>

      <p id="d1e9003">The production of NO<inline-formula><mml:math id="M649" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> from NH<inline-formula><mml:math id="M650" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation has recently
been hypothesized to be vulnerable to iron limitation (Mdutyana et al.,
2022a) since AOB rely on iron-rich <italic>cytochrome c</italic> proteins
(Arp
et al., 2002; Walker et al., 2010), and some AOA appear to have a low
affinity for inorganic iron (Shafiee et
al., 2019). NOB also contain iron-rich enzymes, such as nitrite
oxidoreductase, which is responsible for converting NO<inline-formula><mml:math id="M651" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> to
NO<inline-formula><mml:math id="M652" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (Meincke et
al., 1992; Spieck et al., 1998). While we have no iron data with which to
compare our kinetic parameters, dissolved iron concentrations ([DFe]) were
measured throughout the euphotic zone at the depth-profile stations (St 08
to St 11; Mdutyana et al., 2022a). The revised NO<inline-formula><mml:math id="M653" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rates
at these stations are weakly positively correlated with [DFe] (<inline-formula><mml:math id="M654" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.35</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M655" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.016</mml:mn></mml:mrow></mml:math></inline-formula>; Fig. 5), indicating a potential role for iron in
controlling NO<inline-formula><mml:math id="M656" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation. Combined with the evidence that iron
may also constrain marine NH<inline-formula><mml:math id="M657" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation
(Shafiee et al., 2019), this
observation implies that mixed-layer nitrification in the Southern Ocean may
be iron limited. Since phytoplankton consumption of regenerated
NO<inline-formula><mml:math id="M658" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> yields no net removal of atmospheric CO<inline-formula><mml:math id="M659" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in a mass
balance sense (Dugdale and Goering 1967; Yool et al., 2007), an iron-related
control on mixed-layer nitrification would help to limit the extent to which
this process can weaken the Southern Ocean's biological pump and would lead
to enhanced competition between phytoplankton and nitrifiers for iron.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><?xmltex \opttitle{The persistence of elevated NO${}_{{2}}{}^{{-}}$ concentrations throughout the
Southern Ocean's mixed layer}?><title>The persistence of elevated NO<inline-formula><mml:math id="M660" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations throughout the
Southern Ocean's mixed layer</title>
      <p id="d1e9164">While still limited, there is growing evidence that marine AOA have a very
high affinity for NH<inline-formula><mml:math id="M661" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (more correctly, ammonia (NH<inline-formula><mml:math id="M662" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, the
substrate for NH<inline-formula><mml:math id="M663" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation; Horak et al., 2013;
Martens-Habbena
et al., 2009; Mdutyana et al., 2022a; Newell et al., 2013; Peng et al.,
2016). Marine NOB also appear able to access low concentrations of
substrate, based on the few in situ studies conducted to date, including this one
(Fig. 4f; Olson, 1981a; Sun
et al., 2017; Zhang et al., 2020). This high substrate affinity is
perhaps unsurprising given that NO<inline-formula><mml:math id="M664" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations are generally
near-zero throughout the oxygenated ocean, rising modestly to values
typically <inline-formula><mml:math id="M665" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> nM at the PNM in (sub-)tropical waters
(Lomas and Lipschultz,
2006; Zakem et al., 2018) and <inline-formula><mml:math id="M666" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">400</mml:mn></mml:mrow></mml:math></inline-formula> nM over the mixed layer in
(sub-)polar regions (Zakem et al., 2018). The
average surface NO<inline-formula><mml:math id="M667" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration measured during Leg 1 of our
cruise was <inline-formula><mml:math id="M668" display="inline"><mml:mrow><mml:mn mathvariant="normal">168</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">48</mml:mn></mml:mrow></mml:math></inline-formula> nM (Fig. 1a), and the average mixed-layer
concentration for Leg 2 was <inline-formula><mml:math id="M669" display="inline"><mml:mrow><mml:mn mathvariant="normal">137</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">57</mml:mn></mml:mrow></mml:math></inline-formula> nM (Figs. 1b and 3a). Similar
concentrations have been observed previously across the Southern Ocean,
including in other seasons
(Cavagna
et al., 2015; Fripiat et al., 2019; Mdutyana et al., 2020). Thus, while
NO<inline-formula><mml:math id="M670" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation in Southern Ocean surface waters is characterized
by a low <inline-formula><mml:math id="M671" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, the affinity of NOB for NO<inline-formula><mml:math id="M672" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is apparently not
high enough to completely remove the available NO<inline-formula><mml:math id="M673" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e9320">The persistence of elevated NO<inline-formula><mml:math id="M674" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations in the mixed layer
at high latitudes has previously been attributed to the inability of iron-
and/or light-limited phytoplankton to fully consume NO<inline-formula><mml:math id="M675" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
transported to the surface with NO<inline-formula><mml:math id="M676" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> during deep mixing events
(Zakem et al., 2018). However, subsurface
NO<inline-formula><mml:math id="M677" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations in the Southern Ocean are typically below
detection (Figs. 1b and 3a;
Olsen et al.,
2016), so it is unclear how deep mixing could supply measurable
NO<inline-formula><mml:math id="M678" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> to the euphotic zone. We thus discount subsurface mixing as a
primary explanation for the elevated Southern Ocean mixed-layer
NO<inline-formula><mml:math id="M679" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations observed during our study and in
other seasons (e.g., Fripiat et al., 2019).</p>
      <p id="d1e9396">A second possible source of elevated mixed-layer NO<inline-formula><mml:math id="M680" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is efflux
following partial NO<inline-formula><mml:math id="M681" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> reduction to NO<inline-formula><mml:math id="M682" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> by
phytoplankton (Lomas and Lipschultz, 2006),
which has been extensively documented in laboratory and field studies (see
Collos, 1998, for a review). The release of NO<inline-formula><mml:math id="M683" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
by phytoplankton is hypothesized to result from light limitation of
intracellular NO<inline-formula><mml:math id="M684" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> reduction
(Kiefer et al., 1976; Vaccaro and
Ryther, 1960), short-term increases in irradiance to which phytoplankton
cannot adapt (Lomas and Lipschultz, 2006), iron
limitation of NO<inline-formula><mml:math id="M685" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> assimilation
(Milligan and Harrison,
2000), and/or release of phytoplankton from NO<inline-formula><mml:math id="M686" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> limitation
following a period of starvation (Sciandra and Amara, 1994).
While some of these mechanisms may be ongoing in the Southern Ocean, they
all require the initial uptake of NO<inline-formula><mml:math id="M687" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> by phytoplankton. This
process occurs in the winter mixed layer at rates that are too low to
support NO<inline-formula><mml:math id="M688" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> efflux to the extent that it would allow
NO<inline-formula><mml:math id="M689" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> to accumulate to concentrations of 100–400 nM (Fig. S3;
Mdutyana et al., 2020;
Philibert
et al., 2015) while simultaneously being removed by NO<inline-formula><mml:math id="M690" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
oxidation. Additionally, we observe a reasonable correlation between the
NH<inline-formula><mml:math id="M691" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rates and the ambient NO<inline-formula><mml:math id="M692" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration
(<inline-formula><mml:math id="M693" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.46</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M694" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>; Fig. S4), which implies that
NO<inline-formula><mml:math id="M695" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> derives mainly from NH<inline-formula><mml:math id="M696" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rather than
phytoplankton efflux.</p>
      <p id="d1e9609">A third potential explanation for elevated mixed-layer NO<inline-formula><mml:math id="M697" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is a
decoupling of NH<inline-formula><mml:math id="M698" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M699" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation, which appears to
be widespread in the environment
(e.g.,
Beman et al., 2013; Ward and Zafiriou, 1988). In the oxygenated ocean,
NH<inline-formula><mml:math id="M700" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation has been considered the rate-limiting step in the
nitrification pathway because NO<inline-formula><mml:math id="M701" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> seldom accumulates in the mixed
layer
(Kendall,
1998; Kowalchuk and Stephen, 2001; Vajrala et al., 2013; Walker et al.,
2010). However, rate measurements from numerous ocean regions show
contrasting results, with NO<inline-formula><mml:math id="M702" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation sometimes outpacing
NH<inline-formula><mml:math id="M703" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation
(Bristow
et al., 2015; Dore and Karl, 1996; Horrigan et al., 1990; Peng et al., 2018),
while in other cases, NH<inline-formula><mml:math id="M704" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation is dominant
(Clark et al., 2008; Kalvelage et
al., 2013; Ward and Kilpatrick, 1991). The limited data available from
previous Southern Ocean investigations show no clear trend
(Bianchi
et al., 1997; Mdutyana et al., 2020). In the present study, mixed-layer
corrNO<inline-formula><mml:math id="M705" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">2</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> rates are two- to seven-times lower than the
coincidentally measured corrNH<inline-formula><mml:math id="M706" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">4</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (Figs. 3 and 6).
Additionally, the maximum rates of NO<inline-formula><mml:math id="M707" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation (<inline-formula><mml:math id="M708" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> that
we measure in this study for the surface NOB community (<inline-formula><mml:math id="M709" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> to
13 nM d<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>; Fig. 2) are on average half those determined at the same
stations for NH<inline-formula><mml:math id="M711" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation (14 to 23 nM d<inline-formula><mml:math id="M712" 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>; Mdutyana et
al., 2022a). At the time of our sampling, therefore, NO<inline-formula><mml:math id="M713" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation
was rate-limiting for nitrification, which likely accounts for at least some of the
NO<inline-formula><mml:math id="M714" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> accumulated in the Southern Ocean's winter mixed layer.</p>
      <p id="d1e9838">If a decoupling of NH<inline-formula><mml:math id="M715" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M716" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation is
predominantly responsible for NO<inline-formula><mml:math id="M717" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> accumulation, an obvious
question is why these rates are not balanced. Environmental factors like
temperature and light may play a role
(Ward,
2008), as may iron limitation and the different ecophysiologies of
NH<inline-formula><mml:math id="M718" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M719" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidizers. AOA have been shown to adapt
more rapidly than NOB to a change in temperature (Schaefer and Hollibaugh,
2017); however, seasonal SST changes within the various zones of the
Southern Ocean are fairly small and the aforementioned study showing the
differential thermal response of AOA and NOB was conducted at higher
temperatures than those experienced in much of the Southern Ocean. With
regards to light, there is evidence from culture and field studies that NOB
are more photosensitive than AOA and AOB
(Bock, 1965; Olson, 1981b; Qin
et al., 2014). Our data are consistent with this notion insofar as the
<inline-formula><mml:math id="M720" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> associated with NO<inline-formula><mml:math id="M721" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation in surface waters rises
with increasing latitude (and thus decreasing light; Fig. 4a), while the
<inline-formula><mml:math id="M722" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> derived for NH<inline-formula><mml:math id="M723" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation remains largely unchanged
across <inline-formula><mml:math id="M724" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M725" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> of latitude (Mdutyana et al., 2022a). However,
the ambient NO<inline-formula><mml:math id="M726" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration in Southern Ocean surface waters
rises near linearly with latitude (Fig. S2a), while the
NH<inline-formula><mml:math id="M727" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration resembles a step function, increasing from
<inline-formula><mml:math id="M728" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> nM north of the SAF to <inline-formula><mml:math id="M729" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">700</mml:mn></mml:mrow></mml:math></inline-formula> nM south of
the SAF, over a distance of roughly 1<inline-formula><mml:math id="M730" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> of latitude (Fig. S2b). The
differing trends in <inline-formula><mml:math id="M731" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> may thus have more to do with substrate
availability than photoinhibition.</p>
      <p id="d1e10031">Mixing, particularly deep winter overturning, might also contribute to a
decoupling of NH<inline-formula><mml:math id="M732" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M733" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation. In coastal
waters, deep mixing has been shown to dilute the nitrifier community,
with AOO subsequently observed to recover more rapidly than NOB. This
differential rate of recovery has been hypothesized to result in a period of
low rates of NO<inline-formula><mml:math id="M734" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation during which the co-occurring
NH<inline-formula><mml:math id="M735" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rates remain elevated, ultimately causing
NO<inline-formula><mml:math id="M736" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> to accumulate in the surface layer
(Haas et al., 2021). While a
similar effect may play a role in NO<inline-formula><mml:math id="M737" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> accumulation in the open
Southern Ocean, it is unlikely that the entire NO<inline-formula><mml:math id="M738" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> reservoir can
be attributed to this process. The rates of NH<inline-formula><mml:math id="M739" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation are
only slightly higher than the NO<inline-formula><mml:math id="M740" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rates in the winter
mixed layer (Fig. 3), and the mixed-layer NH<inline-formula><mml:math id="M741" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations are
elevated (Fig. 3f). These observations imply that NH<inline-formula><mml:math id="M742" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidizers
are limited by something other than the NH<inline-formula><mml:math id="M743" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> substrate. This limitation prevents AOO from catalyzing higher rates of NO<inline-formula><mml:math id="M744" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> production
(and thus NO<inline-formula><mml:math id="M745" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> accumulation).</p>
      <p id="d1e10204">Nitrite oxidoreductase (NXR), the enzyme possessed by NOB that is
responsible for aerobic NO<inline-formula><mml:math id="M746" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation to NO<inline-formula><mml:math id="M747" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, is an
iron–sulfur molybdoprotein
(Lücker et al., 2010; Meincke et al., 1992; Sundermeyer-Klinger et al.,
1984). As such, NO<inline-formula><mml:math id="M748" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation has a significant iron requirement
(Bayer et
al., 2021; Saito et al., 2020), intimated by the relationship we observe
between corrNO<inline-formula><mml:math id="M749" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">2</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and DFe (Fig. 5). Additionally,
NO<inline-formula><mml:math id="M750" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> accumulation at the PNM in the California Current has been
hypothesized to be caused by the iron limitation of NOB
(Santoro et
al., 2013). AOB also require iron, in particular for the oxidation of
hydroxylamine, which is catalyzed by the heme-rich hydroxylamine
oxidoreductase complex
(Arp
et al., 2002; Walker et al., 2010). By contrast, AOA, the dominant marine
NH<inline-formula><mml:math id="M751" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidizers, rely mainly on copper-containing proteins to
mediate NH<inline-formula><mml:math id="M752" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation
(Amin
et al., 2013; Santoro et al., 2015; Walker et al., 2010). In the
iron-limited Southern Ocean, it is thus possible that iron scarcity more
strongly limits NO<inline-formula><mml:math id="M753" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> than NH<inline-formula><mml:math id="M754" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation. However,
recent culture and proteomic work suggests that some AOA may actually have a
high iron requirement
(Carini
et al., 2018; Qin et al., 2018; Santoro et al., 2015; Shafiee et al., 2019),
and we have previously hypothesized an iron-related control on
NH<inline-formula><mml:math id="M755" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation in the Southern Ocean (Mdutyana et al., 2022a).
Deeper investigation is thus required to characterize the role of iron in
controlling the relative rates of NH<inline-formula><mml:math id="M756" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M757" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
oxidation, as well as the implications for the complete nitrification pathway.</p>
      <p id="d1e10357">A further consideration is differences in the ecology of AOA and NOB. Marine
NOB are an order of magnitude less abundant than AOA (e.g., Beman et al.,
2013; Damashek et al., 2019;
Füssel
et al., 2012; Kitzinger et al., 2020; Pachiadaki et al., 2017) and roughly
3-times larger
(Könneke et al., 2005; Martens-Habbena et al., 2009; Pachiadaki et al.,
2017; Watson and Waterbury, 1971). While marine NOB appear to
have a high affinity for ambient NO<inline-formula><mml:math id="M758" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, the in situ <inline-formula><mml:math id="M759" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values derived
to date are not as low as those reported for NH<inline-formula><mml:math id="M760" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation
(Horak
et al., 2013; Mdutyana et al., 2022a; Peng et al., 2016; Xu et al., 2019;
Zhang et al., 20202), which is perhaps to be expected given the larger size
of NOB versus AOA. Resource limitation theory posits that nitrifiers (NOB
and AOA) require a subsistence concentration of substrate (<inline-formula><mml:math id="M761" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) to maintain
their population and that those with the lowest R* will outcompete all
other organisms limited by the same resource, provided that their <inline-formula><mml:math id="M762" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
is higher than their loss rate due to grazing and/or viral lysis (Zakem et
al., 2018). Because NOB are larger than AOA, they will have a higher <inline-formula><mml:math id="M763" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> even
before grazing pressure is factored in. Their larger size also means that
NOB are more likely to be grazed than AOA, which will further increase their
<inline-formula><mml:math id="M764" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, as will the fact that their maximum growth rates are low and thus
vulnerable to being outpaced by their loss rate. Taken together, these
factors will increase <inline-formula><mml:math id="M765" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, potentially resulting in the accumulation of
NO<inline-formula><mml:math id="M766" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> in the water column, and may help to explain why the <inline-formula><mml:math id="M767" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
for NO<inline-formula><mml:math id="M768" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation, in the Southern Ocean and elsewhere, is
considerably higher than the <inline-formula><mml:math id="M769" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> derived for NH<inline-formula><mml:math id="M770" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation.
Additionally, the fact that NOB will be preferentially grazed over AOA may
contribute to NO<inline-formula><mml:math id="M771" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation being rate-limiting for
nitrification.</p>
      <p id="d1e10522">That NO<inline-formula><mml:math id="M772" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation was rate-limiting at the time of our sampling
does not necessarily explain the accumulation of NO<inline-formula><mml:math id="M773" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> in the
Southern Ocean mixed layer year-round. Neither NH<inline-formula><mml:math id="M774" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> nor
NO<inline-formula><mml:math id="M775" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation occurs at elevated rates in summer or autumn
(Bianchi
et al., 1997; Mdutyana et al., 2020), yet the elevated NO<inline-formula><mml:math id="M776" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
concentrations persist during these seasons
(Cavagna
et al., 2015; Fripiat et al., 2019; Mdutyana et al., 2020). To fit a
Michaelis–Menten function to our experimental data required amending the
classical equation (Eq. 2) to allow for a positive <inline-formula><mml:math id="M777" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> intercept (i.e., a
non-zero <inline-formula><mml:math id="M778" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> value at which <inline-formula><mml:math id="M779" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> was still zero, the <inline-formula><mml:math id="M780" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula> parameter in Eq. 3)
(Archontoulis and Miguez,
2014). Additionally, at most stations, the NO<inline-formula><mml:math id="M781" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation rates
did not increase substantially following the initial two or three substrate
amendments (i.e., in Fig. 2, the slope of the relationship between <inline-formula><mml:math id="M782" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M783" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula>
is less steep for the initial two to three values of <inline-formula><mml:math id="M784" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> than at higher <inline-formula><mml:math id="M785" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula>
values). Practically, our findings suggest that Southern Ocean NOB require a
minimum (i.e., “threshold”) NO<inline-formula><mml:math id="M786" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration below which
NO<inline-formula><mml:math id="M787" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> becomes severely limiting. Coupled with weak
NO<inline-formula><mml:math id="M788" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> drawdown by iron- and/or light-limited phytoplankton during
their incomplete consumption of the NO<inline-formula><mml:math id="M789" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M790" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M791" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> pool, a
threshold substrate requirement of NOB can explain the year-round
persistence of non-zero mixed-layer NO<inline-formula><mml:math id="M792" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> since it implies that
there is no mechanism by which NO<inline-formula><mml:math id="M793" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> can be completely exhausted.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e10750">The relationship between the revised rates of NO<inline-formula><mml:math id="M794" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and
NH<inline-formula><mml:math id="M795" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation (corrNO<inline-formula><mml:math id="M796" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">2</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and
corrNH<inline-formula><mml:math id="M797" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msub><mml:mn mathvariant="normal">4</mml:mn><mml:mtext>ox</mml:mtext></mml:msub></mml:mrow><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) for <bold>(a)</bold> each experiment depth in the upper water
column (0–500 m) and <bold>(b)</bold> integrated over the mixed layer (grey symbols) and
upper 200 m (black symbols). Error bars in <bold>(a)</bold> indicate the range of
values, each measured at least twice, while in <bold>(b)</bold>, error bars show the
propagated error. Where errors bars are not visible, they are smaller than
the data markers. The black diagonal line in both panels has a slope of 1,
which is expected if the rates of NH<inline-formula><mml:math id="M798" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M799" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
oxidation are tightly coupled.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/3425/2022/bg-19-3425-2022-f06.png"/>

        </fig>

      <p id="d1e10852">The existence of a NO<inline-formula><mml:math id="M800" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration threshold may indicate
limitation of the membrane-bound NXR enzyme, either by NO<inline-formula><mml:math id="M801" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> or by
another essential nutrient. Recently, using NXR concentrations, estimates of
NXR-specific activity, and direct measurements of in situ NO<inline-formula><mml:math id="M802" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation
rates, Saito et al. (2020) deduced that
<italic>Nitrospina</italic> NXR is undersaturated with NO<inline-formula><mml:math id="M803" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> in the tropical Pacific possibly due to iron limitation. The authors suggest that under iron-scarce
conditions, it becomes increasingly difficult for NOB to synthesize NXR and
thus to oxidize NO<inline-formula><mml:math id="M804" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. A similar dynamic may be at play in the
Southern Ocean, with limited synthesis of NXR at low iron concentrations
resulting in a decrease in the efficiency of the NO<inline-formula><mml:math id="M805" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation
pathway that manifests most strongly when the ambient NO<inline-formula><mml:math id="M806" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
concentration is also low. This inefficiency could be alleviated at higher
NO<inline-formula><mml:math id="M807" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations since NOB (even with a paucity of NXR) are
less likely to experience diffusion limitation with respect to
NO<inline-formula><mml:math id="M808" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> when there is more of this substrate available
(Pasciak and Gavis, 1974). Regardless of its mechanistic basis,
limitation of NOB NXR would help to explain the perennially high
concentrations of NO<inline-formula><mml:math id="M809" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> in the Southern Ocean mixed layer.
Moreover, environmental factors unique to the Southern Ocean, such as
limited iron availability, may be instrumental in setting the NO<inline-formula><mml:math id="M810" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
threshold and associated elevated mixed-layer NO<inline-formula><mml:math id="M811" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations.</p>
      <p id="d1e11004">Our observations raise the question of why a similar NO<inline-formula><mml:math id="M812" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
concentration threshold has not been reported for other ocean regions,
particularly those characterized by similar conditions to the Southern
Ocean. This may partly be due to the very limited number of NO<inline-formula><mml:math id="M813" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
oxidation kinetics experiments that have been conducted in the open ocean
and/or to the fact that a classic Michaelis–Menten function is usually
imposed upon kinetics data, with <inline-formula><mml:math id="M814" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> assumed to increase as soon as <inline-formula><mml:math id="M815" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>. Additionally, depending on the maximum substrate
concentration added during kinetics experiments (i.e., the maximum
concentration on the <inline-formula><mml:math id="M816" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis of the <inline-formula><mml:math id="M817" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> versus <inline-formula><mml:math id="M818" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> plot), it can be difficult to
discern a possible threshold NO<inline-formula><mml:math id="M819" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration by simply
examining the plots. Inspection of published Michaelis–Menten curves does
reveal the possibility of a non-zero <inline-formula><mml:math id="M820" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula> value in some cases, including in the
ETNP ODZ (Sun et al., 2021) and associated with
the PNM in the South China Sea (Zhang et
al., 2020). However, there are also published curves that clearly intercept
the origin in <inline-formula><mml:math id="M821" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> versus <inline-formula><mml:math id="M822" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> space
(Olson, 1981a; Sun et al., 2017),
underscoring the need for further investigation of the conditions that lead
to a threshold NO<inline-formula><mml:math id="M823" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration requirement of NOB.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Concluding remarks</title>
      <p id="d1e11128">In this study, we present the first NO<inline-formula><mml:math id="M824" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation kinetic
constants for the Southern Ocean, derived from surface experiments conducted
during winter 2017. All the experiments were well-described by the
Michaelis–Menten equation, provided that a location parameter, <inline-formula><mml:math id="M825" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula>, was
included in the model. <inline-formula><mml:math id="M826" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> ranged from <inline-formula><mml:math id="M827" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M828" display="inline"><mml:mrow><mml:mn mathvariant="normal">13</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula> nM d<inline-formula><mml:math id="M829" 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="M830" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> ranged from <inline-formula><mml:math id="M831" display="inline"><mml:mrow><mml:mn mathvariant="normal">134</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M832" display="inline"><mml:mrow><mml:mn mathvariant="normal">403</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula> nM,
with the latter parameter showing a strong positive relationship with the
ambient NO<inline-formula><mml:math id="M833" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration. We interpret the positive values of <inline-formula><mml:math id="M834" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula>
(range of <inline-formula><mml:math id="M835" display="inline"><mml:mrow><mml:mn mathvariant="normal">115</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.3</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M836" display="inline"><mml:mrow><mml:mn mathvariant="normal">245</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula> nM) to indicate an ambient
NO<inline-formula><mml:math id="M837" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration threshold below which NOB, and thus
NO<inline-formula><mml:math id="M838" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation, are impeded. We hypothesize that this threshold
indicates substrate limitation of NXR, possibly exacerbated by the low
ambient iron concentrations characteristic of the upper Southern Ocean. Our
kinetics experiments were conducted in surface waters only, which raises the
question of the relevance of our findings for deeper euphotic zone waters.
For instance, it is possible that surface nitrifier communities may be more
iron limited than those living nearer the base of the euphotic zone.
However, in the winter Southern Ocean, the euphotic zone is always
considerably shallower than the mixed layer (50–75 m versus 100–250 m) such
that euphotic zone waters are typically very well mixed, as is apparent from the
near-invariant mixed-layer (and thus euphotic-zone) distributions of
nutrients (Fig. 1b–c), including trace metals
(Cloete
et al., 2019). One might therefore expect the nitrifiers to also be evenly
distributed over the euphotic zone and mixed layer. The light flux will not
be homogenous over these layers, however. Indeed, light availability is
frequently invoked to explain the vertical distribution of nitrification
rates because nitrifier activity is impeded at high light
(Horrigan
et al., 1981; Olson, 1981b; Peng et al., 2018; Qin et al., 2014). Our
nitrification depth profiles do not show a vertical trend, instead remaining
similar throughout the euphotic zone and only rising near the base of the
mixed layer (Fig. 3b–e). We thus consider the results of our surface
kinetics experiments to be broadly applicable to the euphotic zone in
winter. From the depth-profile measurements, we deduce that the
rate-limiting step for mixed-layer nitrification in the winter Southern
Ocean is NO<inline-formula><mml:math id="M839" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation. Despite this, NO<inline-formula><mml:math id="M840" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> production
from NO<inline-formula><mml:math id="M841" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation accounted for 63 %–237 % of the NO<inline-formula><mml:math id="M842" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
consumed by phytoplankton, consistent with previous wintertime observations
from the Atlantic sector (Mdutyana et
al., 2020). The implication of this finding is that most of the mixed-layer
NO<inline-formula><mml:math id="M843" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> consumed by phytoplankton in winter, and likely also a
significant fraction assimilated in spring, supports regenerated rather than
new production (Yool et al., 2007; Mdutyana et al., 2020).</p>
      <p id="d1e11362">NO<inline-formula><mml:math id="M844" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation, as the ultimate pathway connecting reduced N to
its most oxidized form (NO<inline-formula><mml:math id="M845" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, is important throughout the water
column but particularly in the upper layer where the supply of reduced N is
greatest. The production of NO<inline-formula><mml:math id="M846" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> within the mixed layer from in situ nitrification
can complicate the application of the new production paradigm as a framework
for estimating carbon export potential, which advocates for additional
measurements of this pathway over the upper <inline-formula><mml:math id="M847" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula> m.
Additionally, it is becoming increasingly clear that we lack a mechanistic
understanding of the controls on nitrification (both NH<inline-formula><mml:math id="M848" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and
NO<inline-formula><mml:math id="M849" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> oxidation), which renders it challenging to model both their
magnitude and distribution, as well as to assess how these may change in
future. In particular, further study of the role of iron in controlling
nitrification is required, especially in the Southern Ocean where the
mixed layer's biological N cycle is dominated by nitrification in winter
(Mdutyana et al., 2020; Smart et al., 2015), and surface-layer iron remains
scarce throughout the year
(Tagliabue et al., 2012).</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e11442">All data used in this paper can be found at <ext-link xlink:href="https://doi.org/10.5281/zenodo.6791408" ext-link-type="DOI">10.5281/zenodo.6791408</ext-link> (Mdutyana et al., 2022b).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e11448">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/bg-19-3425-2022-supplement" xlink:title="pdf">https://doi.org/10.5194/bg-19-3425-2022-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e11457">MM and SEF planned the campaign; MM and JMB collected the samples and
conducted the experiments; MM and XS made the measurements, with support
from BBW; MM, TM, and SEF analyzed the data; MM and SEF wrote the manuscript
draft, with substantial input from BBW, TM, and SJT. All authors reviewed, edited,
and approved the manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e11463">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e11469">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><?xmltex \hack{\newpage}?><ack><title>Acknowledgements</title><p id="d1e11476">We thank Captain Knowledge Bengu, the crew of the R/V <italic>S.A. Agulhas II</italic>, and Chief Scientist Marcello Vichi for professional support during the cruise, as well as
the Marine Biogeochemistry Lab team at the University of Cape Town (UCT), Cashifa Karriem for extensive administrative support, and Ian Newton and Julie Luyt at
the UCT Stable Light Isotope Laboratory for filter analyses. The
nitrification measurements were made possible through the Princeton
University Visiting Student Research Collaborator program – we are especially
grateful to Sergey Oleynik in the Department of Geosciences for his expert
assistance during the first author's visit. Julie Granger, Sian Henley, and Alyson Santoro provided comments that greatly improved the manuscript. We also acknowledge the South African Department of Science and Innovation's Biogeochemistry
Research Infrastructure Platform.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e11484">This research has been supported by the South African National Research Foundation through Antarctic Programme grants to Sarah E. Fawcett (grant nos. 110735 and 129232) and Sandy J. Thomalla (grant no. 93076) and a National Equipment Programme grant to Sarah E. Fawcett (grant no. 116142), as well as postgraduate scholarships to Mhlangabezi Mdutyana (grant no. 112380), Tanya Marshall (grant nos. 114673 and 130826), and Jessica M. Burger (grant no. 110732); by the University of Cape Town (UCT) through a Harry Crossley Foundation research fellowship to Mhlangabezi Mdutyana, postgraduate scholarship to Tanya Marshall, Vice-Chancellor (VC) research scholarships to Jessica M. Burger, a VC Future Leaders 2030 award to Sarah E. Fawcett, and a research committee equipment grant to Sarah E. Fawcett; by the African Academy of Sciences and Royal Society through a FLAIR Fellowship to Sarah E. Fawcett; and by US National Science Foundation grants to Bess B. Ward.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e11490">This paper was edited by Jack Middelburg and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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