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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" dtd-version="3.0"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">ACP</journal-id>
<journal-title-group>
<journal-title>Atmospheric Chemistry and Physics</journal-title>
<abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1680-7324</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/acp-17-11313-2017</article-id><title-group><article-title><?xmltex \hack{\vspace{4mm}}?>Brominated VSLS and their influence on ozone<?xmltex \hack{\newpage}?> under a changing climate</article-title>
      </title-group><?xmltex \runningtitle{Future change in brominated VSLS}?><?xmltex \runningauthor{S.~Falk et~al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Falk</surname><given-names>Stefanie</given-names></name>
          <email>stefanie.falk@kit.edu</email>
        <ext-link>https://orcid.org/0000-0002-4552-5455</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Sinnhuber</surname><given-names>Björn-Martin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9608-7320</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Krysztofiak</surname><given-names>Gisèle</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4762-8471</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Jöckel</surname><given-names>Patrick</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8964-1394</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Graf</surname><given-names>Phoebe</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Lennartz</surname><given-names>Sinikka T.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7040-149X</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Meteorology and Climate Research, Karlsruhe Institute of Technology, Karlsruhe, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>LPC2E, Université d'Orléans, CNRS, UMR7328, Orléans, France</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Deutsches Zentrum für Luft- und Raumfahrt e.V., Oberpfaffenhofen, Germany</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Geomar, Helmholtz Centre for Ocean Research Kiel, Kiel, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Stefanie Falk (stefanie.falk@kit.edu)</corresp></author-notes><pub-date><day>25</day><month>September</month><year>2017</year></pub-date>
      
      <volume>17</volume>
      <issue>18</issue>
      <fpage>11313</fpage><lpage>11329</lpage>
      <history>
        <date date-type="received"><day>13</day><month>January</month><year>2017</year></date>
           <date date-type="accepted"><day>2</day><month>September</month><year>2017</year></date>
           <date date-type="rev-recd"><day>10</day><month>August</month><year>2017</year></date>
           <date date-type="rev-request"><day>3</day><month>March</month><year>2017</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://acp.copernicus.org/articles/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri>
<self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>


      <abstract>
    <p>Very short-lived substances (VSLS) contribute as source gases
significantly to the tropospheric and stratospheric bromine
loading. At present, an estimated 25 <inline-formula><mml:math id="M1" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> of stratospheric
bromine is of oceanic origin. In this study, we investigate how
climate change may impact the ocean–atmosphere flux of brominated
VSLS, their atmospheric transport, and chemical transformations and
evaluate how these changes will affect stratospheric ozone over the
21st century.</p>
    <p>Under the assumption of fixed ocean water concentrations and RCP6.0
scenario, we find an increase of the ocean–atmosphere flux of
brominated VSLS of about 8–10 <inline-formula><mml:math id="M2" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> by the end of the 21st
century compared to present day.  A decrease in the tropospheric
mixing ratios of VSLS and an increase in the lower stratosphere are
attributed to changes in atmospheric chemistry and transport. Our
model simulations reveal that this increase is counteracted by
a corresponding reduction of inorganic bromine. Therefore the total
amount of bromine from VSLS in the stratosphere will not be changed by
an increase in upwelling. Part of the increase of VSLS in the tropical
lower stratosphere results from an increase in the corresponding
tropopause height. As the depletion of stratospheric ozone due to
bromine depends also on the availability of chlorine, we find the
impact of bromine on stratospheric ozone at the end of the 21st
century reduced compared to present day.  Thus, these studies
highlight the different factors influencing the role of brominated
VSLS in a future climate.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\allowdisplaybreaks}?>
<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>Scheme of VSLS emission and catalytic cycle of ozone depletion involving
bromine. (left) VSLS are produced by plankton and macroalgae predominantly in
coastal waters. They are emitted through gas exchange between ocean and
atmosphere. These organic source gases (SG) undergo chemical transformation
into inorganic product gases (PG). Both are convectively transported through
the tropical tropopause layer (TTL). Through photochemical decomposition,
reactive bromine <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is provided to the stratosphere. (right) Two
examples of catalytic cycles of ozone depletion involving bromine. A <inline-formula><mml:math id="M4" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>
indicates increasing order of catalytic complexity. Reactants are shown in
red, catalysts in black, and products in blue. Photochemical reactions are
indicated by a violet wave.</p></caption>
        <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/11313/2017/acp-17-11313-2017-f01.pdf"/>

      </fig>

      <p>Ozone is an important trace gas in the Earth's atmosphere. The
stratospheric layer with its highest abundance, the ozone layer, absorbs
harmful ultraviolet radiation threatening all life forms on the
Earth's surface and acts as a potent greenhouse gas (GHG). In the
troposphere, ozone is considered a harmful pollutant. Catalytic cycles
involving bromine and mixed halogen reactions, namely with chlorine,
efficiently deplete ozone <xref ref-type="bibr" rid="bib1.bibx49" id="paren.1"><named-content content-type="pre">e.g.,</named-content></xref>. The
ozone depletion efficiency of bromine is strongly related to the
available amount of activated chlorine in the
atmosphere <xref ref-type="bibr" rid="bib1.bibx57 bib1.bibx48 bib1.bibx40" id="paren.2"/>. Long-lived,
anthropogenically emitted, halogenated source gases (SG), e.g.,
<inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">Br</mml:mi></mml:mrow></mml:math></inline-formula> and halons, have been restricted by the Montreal
Protocol and its amendments. Their atmospheric concentrations have
started to decline globally <xref ref-type="bibr" rid="bib1.bibx11" id="paren.3"><named-content content-type="pre">see</named-content><named-content content-type="post">Chap. 1</named-content></xref>. Still, they
contribute about 75 <inline-formula><mml:math id="M6" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> to the overall bromine loading in the
stratosphere. The remainder is provided by organic SG of oceanic
origin of which methyl bromide (<inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">Br</mml:mi></mml:mrow></mml:math></inline-formula>), bromoform
(<inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBr</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), and dibromomethane (<inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) are the most
abundant. Minor brominated very short-lived substances (VSLS) include
the mixed bromochlorocarbons <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHCl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">Br</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHClBr</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and
<inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">ClBr</mml:mi></mml:mrow></mml:math></inline-formula>. The tropospheric lifetime of these gases lies between
several days to weeks. They are produced by plankton and macroalgae
and are predominantly produced in coastal
waters <xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx32 bib1.bibx18 bib1.bibx50" id="paren.4"/>. Through
gas exchange governed by the concentration gradient between ocean
water and atmosphere, solubility, and wind stress, VSLS are emitted
into the atmosphere. Transport to the stratosphere, as shown by
different model
studies <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx15 bib1.bibx31" id="paren.5"/>,
occurs in tropical regions of deep convection, most importantly the
western Pacific and Maritime Continent, in Southeast Asia, and over
the Gulf of Mexico. Organic SG are transported through the tropical
tropopause layer (TTL) together with their inorganic product
gases (PG). PG are produced through photochemical decomposition of
VSLS and provide reactive bromine (<inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, from <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Br</mml:mi></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HBr</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">BrO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">BrONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">BrNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">BrCl</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi></mml:mrow></mml:math></inline-formula>) to the stratosphere. This is
schematically shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>. In
recent years, several approaches have been taken to describe the
stratospheric or regional abundance of bromine from VSLS. Top-down
scenarios <xref ref-type="bibr" rid="bib1.bibx55 bib1.bibx30 bib1.bibx41" id="paren.6"/>
match atmospheric observations by setting constant fluxes or boundary
concentrations. Bottom-up scenarios <xref ref-type="bibr" rid="bib1.bibx58" id="paren.7"><named-content content-type="pre">e.g.,</named-content></xref>
developed emission climatologies by extrapolating measurements in the
surface ocean and marine boundary layer and calculate emissions
accordingly. As shown by <xref ref-type="bibr" rid="bib1.bibx28" id="text.8"/>, the bottom-up
fluxes based on the oceanic water concentrations of
<xref ref-type="bibr" rid="bib1.bibx58" id="text.9"/> are in good agreement with available atmospheric
VSLS observations. Recently, <xref ref-type="bibr" rid="bib1.bibx59" id="text.10"/> have investigated
the future evolution of the ocean–atmosphere fluxes of VSLS through
the 21st century based on Coupled Model Intercomparison
Project (CMIP) 5 model output and fixed atmospheric VSLS
concentrations. They found fluxes of <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBr</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
increasing by 6.4 <inline-formula><mml:math id="M24" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> (23.3 <inline-formula><mml:math id="M25" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>) and 9.0 <inline-formula><mml:math id="M26" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>
(29.4 <inline-formula><mml:math id="M27" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>), respectively, dependent on the Representative
Concentration Pathways (RCP) 2.6 (RCP8.0) scenario.</p>
      <p>In this study, we will address the open questions on how these
oceanic emissions of VSLS evolve in response to a changing
climate and changing atmospheric concentrations
(Sect. <xref ref-type="sec" rid="Ch1.S3"/>), how transport and
tropospheric chemistry influence the stratospheric bromine
abundance in a changing climate
(Sect. <xref ref-type="sec" rid="Ch1.S4"/>), and how stratospheric ozone
will be affected by the assumed changes in VSLS abundance
(Sect. <xref ref-type="sec" rid="Ch1.S5"/>). Details about the model and
simulations used in this study will be given in
Sect. <xref ref-type="sec" rid="Ch1.S2"/>.</p>
</sec>
<sec id="Ch1.S2">
  <title>Model and experiments</title>
      <p>All model experiments have been performed using the ECHAM/MESSy
Atmospheric Chemistry (EMAC)
model <xref ref-type="bibr" rid="bib1.bibx21" id="paren.11"/>. Table <xref ref-type="table" rid="Ch1.T1"/> gives
an overview over the key factors of the simulations.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>EMAC model experiments used in this study. All experiments follow the RCP6.0 scenario of GHG emissions and have accordingly prescribed SST and SIC from HadGEM2.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Experiment</oasis:entry>  
         <oasis:entry colname="col2">Model version</oasis:entry>  
         <oasis:entry colname="col3">Resolution</oasis:entry>  
         <oasis:entry colname="col4">Timespan</oasis:entry>  
         <oasis:entry colname="col5">Chemistry</oasis:entry>  
         <oasis:entry colname="col6">VSLS emission</oasis:entry>  
         <oasis:entry colname="col7">Interactive aerosols</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">SC_nudged</oasis:entry>  
         <oasis:entry colname="col2">2.50</oasis:entry>  
         <oasis:entry colname="col3">T42L39MA</oasis:entry>  
         <oasis:entry colname="col4">1979–2012</oasis:entry>  
         <oasis:entry colname="col5">simplified bromine</oasis:entry>  
         <oasis:entry colname="col6"><monospace>airsea</monospace></oasis:entry>  
         <oasis:entry colname="col7">no</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">SC_free</oasis:entry>  
         <oasis:entry colname="col2">2.50</oasis:entry>  
         <oasis:entry colname="col3">T42L39MA</oasis:entry>  
         <oasis:entry colname="col4">1979–2100</oasis:entry>  
         <oasis:entry colname="col5">simplified bromine</oasis:entry>  
         <oasis:entry colname="col6"><monospace>airsea</monospace></oasis:entry>  
         <oasis:entry colname="col7">no</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">RC2-base-05</oasis:entry>  
         <oasis:entry colname="col2">2.51</oasis:entry>  
         <oasis:entry colname="col3">T42L47MA</oasis:entry>  
         <oasis:entry colname="col4">1950–2100</oasis:entry>  
         <oasis:entry colname="col5">full</oasis:entry>  
         <oasis:entry colname="col6">
                  <xref ref-type="bibr" rid="bib1.bibx55" id="text.12"/>
                </oasis:entry>  
         <oasis:entry colname="col7">no</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">RT1a</oasis:entry>  
         <oasis:entry colname="col2">2.52</oasis:entry>  
         <oasis:entry colname="col3">T42L90MA</oasis:entry>  
         <oasis:entry colname="col4">2075–2100</oasis:entry>  
         <oasis:entry colname="col5">full + sulfur</oasis:entry>  
         <oasis:entry colname="col6"><monospace>airsea</monospace></oasis:entry>  
         <oasis:entry colname="col7">yes</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">RT1b</oasis:entry>  
         <oasis:entry colname="col2">2.52</oasis:entry>  
         <oasis:entry colname="col3">T42L90MA</oasis:entry>  
         <oasis:entry colname="col4">2075–2100</oasis:entry>  
         <oasis:entry colname="col5">full + sulfur</oasis:entry>  
         <oasis:entry colname="col6">none</oasis:entry>  
         <oasis:entry colname="col7">yes</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>Future changes in fluxes of brominated VSLS from the ocean are
studied with a free-running long-term simulation (SC_free,
1979–2100) using a simplified chemistry
(Sect. <xref ref-type="sec" rid="Ch1.S3"/>), augmented by a similar
simulation, but nudged towards the European Centre for
Medium-Range Weather Forecasts (ECMWF) ERA-Interim  reanalysis
over the period 1979–2012. Therein, VSLS emission fluxes are
computed online from prescribed seawater concentrations. The
simplified chemistry simulations use EMAC version 2.50 with
submodels <monospace>airsea</monospace> <xref ref-type="bibr" rid="bib1.bibx42" id="paren.13"/> (with the water-side transfer velocity parameterization
<inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.222</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi>u</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.333</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>u</mml:mi></mml:mrow></mml:math></inline-formula> with respect to wind speed according to <xref ref-type="bibr" rid="bib1.bibx38" id="altparen.14"/>),
<monospace>cloud</monospace>, <monospace>cloudopt</monospace>, <monospace>convect</monospace> (with
operational ECMWF convection scheme), <monospace>cvtrans</monospace>,
<monospace>ddep</monospace> <xref ref-type="bibr" rid="bib1.bibx23" id="paren.15"/>, <monospace>ptrac</monospace>
<xref ref-type="bibr" rid="bib1.bibx20" id="paren.16"/>, <monospace>rad</monospace>, <monospace>scav</monospace>
<xref ref-type="bibr" rid="bib1.bibx51" id="paren.17"/>, <monospace>surface</monospace>, and <monospace>tnudge</monospace>
<xref ref-type="bibr" rid="bib1.bibx24" id="paren.18"/>. The setup is as
in <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx17" id="text.19"/>. Chemical reactions
are not computed interactively, e.g., via the EMAC submodel
<monospace>mecca</monospace> <xref ref-type="bibr" rid="bib1.bibx45" id="paren.20"/>. The VSLS lifetime due to
reaction with <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> has been fixed to monthly mean values from
the National Centre for Meteorological
Research (CNRM) <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx36" id="paren.21"/> model
calculations, while photolysis rates are computed within the EMAC
submodel <monospace>jval</monospace> <xref ref-type="bibr" rid="bib1.bibx47" id="paren.22"/>. Only in these
simulations with simplified chemistry, <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> concentrations
have been set to zero in the lower troposphere
(700–1000 <inline-formula><mml:math id="M31" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>) to reduce the variability of ground level
volume mixing ratio (VMR) of VSLS. The chemical lifetime of VSLS
in the lower troposphere is therefore overestimated. Due to the
longer lifetime, VSLS are more abundant in the lower troposphere
leading to a flux suppression. Water concentrations of
<inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBr</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> have been held constant using
the climatology of <xref ref-type="bibr" rid="bib1.bibx58" id="text.23"/>. For mixed
bromochlorocarbons (<inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBrCl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBr</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">Cl</mml:mi></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">BrCl</mml:mi></mml:mrow></mml:math></inline-formula>), water concentrations have been estimated by
scaling <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBr</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations to obtain a better agreement
between model simulation and tropical mean profile and surface
observations of these VSLS. Based on the lifetime estimate, VSLS
are decomposed and converted to <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The partitioning of
<inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> into <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Br</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HBr</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">BrO</mml:mi></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">BrONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">BrNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">BrCl</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi></mml:mrow></mml:math></inline-formula> in
these simplified chemistry simulations has been computed offline
from a full-chemistry EMAC simulation of 1-year duration with
6-hourly output. Scavenging is applied to <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Br</mml:mi></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HBr</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">BrNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">BrONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M53" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">BrCl</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi></mml:mrow></mml:math></inline-formula>. Concentrations of <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CFC</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in SC_free are taken
from a CNRM CM5 model <xref ref-type="bibr" rid="bib1.bibx52" id="paren.24"/> simulation with
RCP6.0 scenario <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx13" id="paren.25"/>.</p>
      <p>Data of a full-chemistry long-term
simulation <xref ref-type="bibr" rid="bib1.bibx22" id="paren.26"><named-content content-type="pre">RC2-base-05,</named-content></xref> over a timespan of 150 years (1950–2100) and performed as part of
a Chemistry-Climate Model Initiative (CCMI) recommended set of
simulations by the Earth System Chemistry integrated
Modelling (ESCiMo) Consortium will be used for studying changes in
transport and photochemical transformation of bromine species
(Sect. <xref ref-type="sec" rid="Ch1.S4"/>). In this simulation, VSLS fluxes
have been held constant following scenario five
of <xref ref-type="bibr" rid="bib1.bibx55" id="text.27"/>.</p>
      <p>An intermediate-term experiment, consisting of a set of two
simulations and spanning the years 2075–2100, has been performed
for assessing implications on ozone depletion in a future climate
with significantly lower chlorine loading in the atmosphere
(Sect. <xref ref-type="sec" rid="Ch1.S5"/>). The simulations named RT1a and
RT1b both include online computation of aerosol formation. Fluxes
of <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBr</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are computed online from seawater concentrations of <xref ref-type="bibr" rid="bib1.bibx58" id="text.28"/> using the EMAC
submodel <monospace>airsea</monospace> as in RC2-base-05 with the
<inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> parameterization according to
<xref ref-type="bibr" rid="bib1.bibx53" id="text.29"/>, which is strictly quadratic with
respect to wind speed (<inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.31</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi>u</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>). For assessing
the impact of VSLS on ozone, all VSLS emissions have been switched
off in RT1b. The impact of various <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
parameterizations on VSLS emission has been previously studied. The
differences on the global level are <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M65" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> (see Table 4
in <xref ref-type="bibr" rid="bib1.bibx28" id="altparen.30"/>, when comparing
<xref ref-type="bibr" rid="bib1.bibx38" id="altparen.31"/>, and <xref ref-type="bibr" rid="bib1.bibx54" id="altparen.32"/>). For
wind speeds exceeding 10 <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">ms</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> the
<xref ref-type="bibr" rid="bib1.bibx53" id="text.33"/> <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> parameterization
diverges slightly stronger towards higher transfer velocities
compared to the <xref ref-type="bibr" rid="bib1.bibx38" id="text.34"/> parameterization
(cf. Fig. 1 in <xref ref-type="bibr" rid="bib1.bibx54" id="altparen.35"/>, and Fig. 2 in
<xref ref-type="bibr" rid="bib1.bibx28" id="altparen.36"/>). Regarding integrated global emissions
of VSLS, both parameterizations result in similar fluxes given
that the mean global wind speed lies in a range where these
parameterizations do not differ drastically. However, the
<xref ref-type="bibr" rid="bib1.bibx38" id="text.37"/> parameterization reacts more sensitively
to changes in wind speed, which introduces a further uncertainty
when assessing changes over time in a changing climate.  The
full-chemistry experiments use EMAC version 2.51 (RC2-base-05) and
2.52 (RT1a<inline-formula><mml:math id="M68" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>b), respectively. The dynamics have not been specified
except for a weak nudging of the equatorial wind quasi-biennial
oscillation (QBO). RC2-base-05 combines hindcast with future
projections. The setup of RT1a and RT1b is almost identical to
RC2-base-05, and so we refer to the corresponding paper by the
ESCiMo Consortium <xref ref-type="bibr" rid="bib1.bibx22" id="paren.38"/> for general
information. The major difference lies in the aforementioned
treatment of VSLS emission, which is handled analogous to
SC_free except for mixed bromochlorocarbons emissions taken
from <xref ref-type="bibr" rid="bib1.bibx55" id="text.39"/>. Since heterogeneous reaction and
chlorine activation are important for the depletion process of
ozone, tropospheric and stratospheric aerosol formation is
computed online using the submodel
<monospace>GMXe</monospace> <xref ref-type="bibr" rid="bib1.bibx43" id="paren.40"/> of EMAC. The setup has been
adapted from RC1-aero-07 <xref ref-type="bibr" rid="bib1.bibx22" id="paren.41"/> with
modifications as described
by <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx6" id="text.42"/>. Radiation coupling had
been activated in <monospace>GMXe</monospace>, but cloud coupling had not been
activated. In this regard, an additional oceanic sulfur source,
carbonyl sulfide (COS), which is a major source of stratospheric
sulfur, has been included in addition to dimethyl sulfide
(DMS). Whereas the emission of the latter is computed from
prescribed ocean concentrations, constant fluxes of COS have been
adopted from <xref ref-type="bibr" rid="bib1.bibx25" id="text.43"/>. Additional reaction pathways
of sulfur have been enabled accordingly. RT1a and RT1b have been
initialized with available monthly mean values from
RC2-base-05. COS has been initialized from a simulation whose
results have been published recently <xref ref-type="bibr" rid="bib1.bibx10" id="paren.44"/>,
including an artificially increased oceanic source to close the
atmospheric budget.</p>
      <p>The model's spatial resolution is T42L39MA for the simplified
chemistry experiments, T42L47MA for RC2-base-05, and T42L90MA for
RT1a<inline-formula><mml:math id="M69" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>RT1b, respectively, corresponding to a <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">2.8</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">2.8</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> grid, with a top level at 0.01 <inline-formula><mml:math id="M71" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>, and 39,
47, or 90 vertical hybrid-pressure levels. The mean tropical
troposphere (below 100 <inline-formula><mml:math id="M72" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>) is discretized into 16, 26, or
27 levels, and the mean tropical stratosphere between 100 and
1 <inline-formula><mml:math id="M73" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> consists of 15, 15, or 48 levels,
respectively. Emissions of GHG follow the RCP6.0 scenario and sea
surface temperature (SST) and sea ice cover (SIC) are prescribed
from Hadley Centre Global Environment Model version 2 (HadGEM2)
forced with the RCP6.0 scenario for all simulations accordingly.</p>
</sec>
<sec id="Ch1.S3">
  <title>Long-term trends in oceanic emission fluxes</title>
      <p>In this section, we investigate how a changing climate may
influence emission fluxes of VSLS from the ocean. We will assess
the impact of changing physical factors (e.g., SST, SIC, and wind
speed) on ocean–atmosphere gas exchange driven by the RCP6.0
scenario. Here we assume constant oceanic concentrations of VSLS
over the course of the century
(following <xref ref-type="bibr" rid="bib1.bibx58 bib1.bibx28" id="altparen.45"/>). This
specific assumption might not hold since the effects of climate
change, e.g., increase of ocean temperature, acidification, change
of salinity, and nutrient input, on marine organisms and thus the
production of <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBr</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is not yet fully
understood. Recent combined marine ecosystem model studies imply
a global decrease of net primary production by plankton over
the course of the 21st
century <xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx27" id="paren.46"/>. However,
the impact on bromocarbon concentration, predominantly produced by
macroalgae in coastal regions, remains unclear.</p>
      <p>As implemented in the EMAC submodel
<monospace>airsea</monospace> <xref ref-type="bibr" rid="bib1.bibx42" id="paren.47"/>, the flux of a gas
dissolved in ocean water to the atmosphere is governed by its
concentration gradient <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:math></inline-formula> and transfer velocity <inline-formula><mml:math id="M77" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>:

              <disp-formula specific-use="align" content-type="numbered"><mml:math id="M78" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">Φ</mml:mi></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>=</mml:mo><mml:mi>k</mml:mi><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E1"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>=</mml:mo><mml:mi>k</mml:mi><mml:mo>⋅</mml:mo><mml:mfenced close=")" open="("><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi>H</mml:mi><mml:mo>⋅</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mtext>air</mml:mtext></mml:msub></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          with <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi>R</mml:mi><mml:mo>⋅</mml:mo><mml:mi>H</mml:mi><mml:mo>⋅</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mtext>air</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mtext>air</mml:mtext></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, wherein <inline-formula><mml:math id="M80" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> is the
universal gas constant and <inline-formula><mml:math id="M81" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> is the Henry coefficient for
a specific gas. The transfer velocity depends largely on air
temperature <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>air</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and surface wind speed, which is taken
into account by distinguishing between water- and air-side
transport velocities (<inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>air</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>). <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is a polynomial function of wind
speed depending on the chosen parameterization as mentioned in
Sect. <xref ref-type="sec" rid="Ch1.S2"/>. The corresponding water and atmospheric
concentrations are named <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mtext>air</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Difference of integrated flux separated in different zonal bands. Simplified
chemistry EMAC simulation (SC_free and SC_nudged) with <monospace>airsea</monospace> gas
exchange and  water concentrations held
constant. Solid lines represent ERA-Interim nudged (1979–2012) and dashed
lines free-running (1979–2100).</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/11313/2017/acp-17-11313-2017-f02.pdf"/>

      </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><caption><p>Average absolute flux for the year 2000 in <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mi mathvariant="normal">Gg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and percentage of relative increase in VSLS flux between 2000 and 2100 from SC_free. The numbers have been obtained by linear regression of the data shown in Fig. <xref ref-type="fig" rid="Ch1.F2"/> and evaluated at the given years.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="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:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Region</oasis:entry>  
         <oasis:entry namest="col2" nameend="col3" align="center"><inline-formula><mml:math id="M89" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry namest="col4" nameend="col5" align="center"><inline-formula><mml:math id="M90" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBr</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">(<inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mi mathvariant="normal">Gg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col3">(%)</oasis:entry>  
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mi mathvariant="normal">Gg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col5">(%)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">90–50<inline-formula><mml:math id="M93" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col2">0.6</oasis:entry>  
         <oasis:entry colname="col3">54.6</oasis:entry>  
         <oasis:entry colname="col4">23.5</oasis:entry>  
         <oasis:entry colname="col5">25.0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">50–20<inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col2">8.2</oasis:entry>  
         <oasis:entry colname="col3">14.6</oasis:entry>  
         <oasis:entry colname="col4">41.7</oasis:entry>  
         <oasis:entry colname="col5">8.7</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">20<inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N–0</oasis:entry>  
         <oasis:entry colname="col2">19.2</oasis:entry>  
         <oasis:entry colname="col3">6.6</oasis:entry>  
         <oasis:entry colname="col4">52.4</oasis:entry>  
         <oasis:entry colname="col5">8.6</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">0–20<inline-formula><mml:math id="M96" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>  
         <oasis:entry colname="col2">5.5</oasis:entry>  
         <oasis:entry colname="col3">11.9</oasis:entry>  
         <oasis:entry colname="col4">44.4</oasis:entry>  
         <oasis:entry colname="col5">10.0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">20–50<inline-formula><mml:math id="M97" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>  
         <oasis:entry colname="col2">4.3</oasis:entry>  
         <oasis:entry colname="col3">18.0</oasis:entry>  
         <oasis:entry colname="col4">33.2</oasis:entry>  
         <oasis:entry colname="col5">8.2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">50–90<inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>  
         <oasis:entry colname="col2">6.9</oasis:entry>  
         <oasis:entry colname="col3">6.8</oasis:entry>  
         <oasis:entry colname="col4">12.7</oasis:entry>  
         <oasis:entry colname="col5">8.9</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>HadGEM2 prescribed ocean properties in the simplified chemistry simulations compared to National Oceanic and NOAA Optimum Interpolation (OI) V2 fields <xref ref-type="bibr" rid="bib1.bibx44" id="paren.48"/>. <bold>(a)</bold> Change in sea surface temperature for different latitude bands. Global average is shown as dashed gray line. <bold>(b)</bold> Arctic sea ice extend in August and September.</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/11313/2017/acp-17-11313-2017-f03.pdf"/>

      </fig>

      <p>In Fig. <xref ref-type="fig" rid="Ch1.F2"/>, the
difference of VSLS fluxes with respect to the start of the
simulation in 1979 is shown for the free-running and nudged
simplified chemistry simulation. For both <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M100" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBr</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, all zonal bands display linearly rising fluxes. The
strongest increase with respect to 1979 values is found in the
tropical zone (20<inline-formula><mml:math id="M101" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N–20<inline-formula><mml:math id="M102" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S) with roughly 2.5 and
13 <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mi mathvariant="normal">Gg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBr</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
respectively. Relative to the absolute value of the zonally
averaged fluxes, this yields an increase of about 10 <inline-formula><mml:math id="M106" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>
over the course of the century
(Table <xref ref-type="table" rid="Ch1.T2"/>). The increase is slightly
stronger in the southern tropics. The strongest relative increase
in flux is found in the northern hemispheric polar region
(90–50<inline-formula><mml:math id="M107" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N), with 25 <inline-formula><mml:math id="M108" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> and roughly
55 <inline-formula><mml:math id="M109" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> for <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBr</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, respectively.</p>
      <p>Regarding the changing physical factors, the HadGEM2 prescribed
SSTs are increasing almost linearly over the course of the century
(Fig. <xref ref-type="fig" rid="Ch1.F3"/>a). Under the RCP6.0 scenario, this
increase in SST ranges between 1 and 3.5 <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. The weak
rise in Antarctic SST is accompanied by a weakly increasing
Antarctic flux of VSLS. The corresponding HadGEM2 prognosticated
retreat of Arctic sea ice is shown in
Fig. <xref ref-type="fig" rid="Ch1.F3"/>b. Sea ice is not regarded as a source
of VSLS in our study and therefore only acts as a lid blocking the
ocean-to-atmosphere flux. Since the water concentrations from
<xref ref-type="bibr" rid="bib1.bibx58" id="text.49"/> used in our simulations do not take SIC into
account, water concentrations have been extrapolated for regions
typically covered by ice at present. In the <monospace>airsea</monospace>
submodel, if SIC (fraction of grid box) is larger than 0.5, the
transfer velocity (<inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) is equal to zero, in other
cases <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is scaled depending on the fraction of
SIC. Hence, a polar sea which is to a large extent free of sea ice
has increased fluxes of VSLS in our future simulations. However,
there are large uncertainties regarding the VSLS water
concentrations in the future polar sea, for the polar ecosystem as
a whole is undergoing a drastic change. In accordance to the
general increase in flux, the Arctic August–September maximum of
flux is expected to be more pronounced.  In both hemispheres,
seasonal cycles in zonally averaged VSLS fluxes peak in the summer
months and show minima in late winter. There is a slightly stronger
increase of fluxes in the future during the time periods of maxima
but no change in phase. Negative emissions representing a net sink
of atmospheric <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are found during winter at
high latitudes in the Northern Hemisphere. In the northern tropics,
<inline-formula><mml:math id="M116" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBr</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> shows a distinct maximum in northern hemispheric
summer, while the southern tropics do not display any seasonal
cycle. Despite increased ocean–atmosphere fluxes in the future,
only taking the changes of physical factors into account, seasonal
cycles remain largely the same. In our simulations, zonally
averaged absolute wind speed at 10 <inline-formula><mml:math id="M117" display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula> is only slightly
changing over the course of the 21st century and with varying sign
(<inline-formula><mml:math id="M118" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4–2 <inline-formula><mml:math id="M119" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>). Thus, it is indicated by our simulations but
not explicitly shown that the important factor regarding an
increase of ocean–atmosphere flux of VSLS is the change in SSTs.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Tropical zonal mean (20<inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N–20<inline-formula><mml:math id="M121" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S), temporally averaged, vertical profiles of organic (<inline-formula><mml:math id="M122" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and inorganic bromine (<inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) for the time periods 1990–2000 and 2090–2100 from SC_free. In consistency with increasing VSLS fluxes by 10 <inline-formula><mml:math id="M124" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> in the tropics, an increase of roughly 10 <inline-formula><mml:math id="M125" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> in <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from VSLS in the stratosphere is found, while the increase in <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> amounts to 8 <inline-formula><mml:math id="M128" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>.</p></caption>
        <?xmltex \igopts{width=156.490157pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/11313/2017/acp-17-11313-2017-f04.pdf"/>

      </fig>

      <p>In Fig. <xref ref-type="fig" rid="Ch1.F4"/>, resulting VMR profiles of
organic (<inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and inorganic bromine (<inline-formula><mml:math id="M130" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) from
VSLS are shown. VSLS data have been averaged over a time period
1990–2000 and 2090–2100. The VMR profile of <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
displays a steep decline in the lower troposphere
(400–1000 <inline-formula><mml:math id="M132" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>) by more than 50 <inline-formula><mml:math id="M133" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> of ground level
VMR and stays almost constant before entering the stratosphere, where
VSLS are quickly dissociated. Comparing present-day and future
values (keeping in mind that <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> concentrations are nudged
towards monthly mean values of <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> and photolysis rates are
fixed in SC_free), <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is found to have increased
throughout the atmosphere by about 0.1–0.4 <inline-formula><mml:math id="M137" display="inline"><mml:mi mathvariant="normal">ppt</mml:mi></mml:math></inline-formula>. Surface
values of VSLS increase by 0.47 <inline-formula><mml:math id="M138" display="inline"><mml:mi mathvariant="normal">ppt</mml:mi></mml:math></inline-formula> (9 <inline-formula><mml:math id="M139" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>), while
in the lower stratosphere the increase amounts to 0.3 <inline-formula><mml:math id="M140" display="inline"><mml:mi mathvariant="normal">ppt</mml:mi></mml:math></inline-formula>
(8 <inline-formula><mml:math id="M141" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>). VMR of <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is increased from the lower
stratosphere upwards by roughly 0.4 <inline-formula><mml:math id="M143" display="inline"><mml:mi mathvariant="normal">ppt</mml:mi></mml:math></inline-formula>
(10 <inline-formula><mml:math id="M144" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>). These changes in the vertical profiles can be
attributed to enhanced emissions in a future climate which, as
shown, are of the order of 10 <inline-formula><mml:math id="M145" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> in the tropics.</p>
      <p>As can be inferred from Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>), ocean–atmosphere
fluxes are sensitive to the abundance of VSLS in the atmosphere and differing wind speed parameterization. An increased
chemical dissociation of VSLS in the lowermost troposphere (e.g.,
due to a probable future increase in <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>) would reduce the
atmospheric concentration and therefore increase the flux from the
ocean to the atmosphere without necessarily increasing the actual
amount of bromine which is transported to the stratosphere. The
total amount of bromine from VSLS transported through the UTLS
strongly depends on the washout of inorganic PG
(<inline-formula><mml:math id="M147" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">y</mml:mi><mml:mi mathvariant="normal">VSLS</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>) and hence on the partitioning and
heterogeneous reactions converting <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">y</mml:mi><mml:mi mathvariant="normal">VSLS</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> between
soluble, e.g., <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HBr</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi></mml:mrow></mml:math></inline-formula>, and insoluble, e.g.,
<inline-formula><mml:math id="M151" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">BrO</mml:mi></mml:mrow></mml:math></inline-formula>,
species <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx31" id="paren.50"><named-content content-type="pre">e.g.,</named-content></xref>. Since
<inline-formula><mml:math id="M152" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in the lower troposphere have been set to
zero in SC_free, the atmospheric lifetime and the resulting
abundance of VSLS in the lower troposphere is enhanced. Therefore,
the total ocean–atmosphere flux is suppressed. In this regard,
fluxes from RT1a at the end of the 21st century have been compared
to SC_free within the same time period. Much stronger fluxes
(1.3–1.5 times) have been found in RT1a in comparison to
SC_free. Particularly, no net sink for <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> occurs at
high latitudes in RT1a. This partly explains the smaller increase
in comparison to results recently published
by <xref ref-type="bibr" rid="bib1.bibx59" id="text.51"/>. <xref ref-type="bibr" rid="bib1.bibx59" id="text.52"/> diagnosed the flux
from parameters such as SST and wind speed for a fixed VSLS
concentration gradient and for different CMIP5 model
simulations. They found an increase in flux of
<inline-formula><mml:math id="M154" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBr</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of 29.4<inline-formula><mml:math id="M155" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>23.3 <inline-formula><mml:math id="M156" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> for the
RCP8.0 scenario and 9.0<inline-formula><mml:math id="M157" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>6.4 <inline-formula><mml:math id="M158" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> for RCP2.6,
respectively. In addition to the smaller absolute fluxes due to the
artificial suppression caused by setting <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> to zero in the
lower troposphere, we expect a smaller increase in flux from
a theoretical point, taking Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>) in to account,
since we allow atmospheric concentrations to respond to changing
flux. Underlying changes in photochemical dissociation and tracer
transport due to a changing climate have not been disentangled at
this point and will be studied in detail in the following section.</p>
</sec>
<sec id="Ch1.S4">
  <title>Stratospheric bromine loading</title>
      <p>In addition to the possible increase in oceanic VSLS emissions due
to climate change, discussed in the previous section, atmospheric
transport and chemical transformation processes are also sensitive
to climate change and may contribute to a change in the future
stratospheric bromine loading from VSLS. These aspects will be
studied in this section, based on the RC2-base-05 ESCiMo
simulation, spanning 150 years from 1950 to 2100, assuming
constant VSLS fluxes. Hence the fluxes of VSLS do not response to
changes in the ground level abundances of VSLS.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>Vertical profiles of brominated substances divided into SG (<inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), PG (<inline-formula><mml:math id="M161" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and SG + PG (<inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">tot</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) in the tropics (20<inline-formula><mml:math id="M163" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N–20<inline-formula><mml:math id="M164" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S). Data from ESCiMo RC2-base-05 simulation <xref ref-type="bibr" rid="bib1.bibx22" id="paren.53"/>. Absolute values of VMR in upper panel, difference <inline-formula><mml:math id="M165" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>VMR with respect to 2100 values in lower panel. <bold>(a)</bold> Bromine from VSLS; <bold>(b)</bold> bromine from <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">Br</mml:mi></mml:mrow></mml:math></inline-formula> and halons.</p></caption>
        <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/11313/2017/acp-17-11313-2017-f05.pdf"/>

      </fig>

      <p>In Fig. <xref ref-type="fig" rid="Ch1.F5"/>, profiles of brominated
substances are shown for the tropics. The profiles are weighted by
the amount of bromine atoms per molecule. The whole 150-year data
set has been smoothed using a moving average with a box window
size of 11 years to account for, e.g., seasonal variations and
the solar cycle. From these smoothed data, three reference years
have been chosen for the analysis: 1980, 2016, and
2100. Therefore, 2100 is referring to June of the last valid year
of the smoothed data (2094). To guide the eye, the corresponding
mean tropical tropopause heights from the model output are shown
together with the profiles. There is an upward shift of the
tropopause height of about 8 <inline-formula><mml:math id="M167" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> between present day and
future. An upward shift of VSLS VMR profiles in 2100 in comparison
to past/present-day profiles is also visible. In the RCP6.0
scenario, ground level VMR of <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">Br</mml:mi></mml:mrow></mml:math></inline-formula> and VSLS are constant
from 2016 onward. In case of <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">Br</mml:mi></mml:mrow></mml:math></inline-formula>, this roughly amounts
to 1980 values. For all years, we find a fast decrease of VSLS of
5 <inline-formula><mml:math id="M170" display="inline"><mml:mi mathvariant="normal">ppt</mml:mi></mml:math></inline-formula> with a standard deviation of 0.25 <inline-formula><mml:math id="M171" display="inline"><mml:mi mathvariant="normal">ppt</mml:mi></mml:math></inline-formula> (or
about 50 <inline-formula><mml:math id="M172" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> compared to ground level VMR) between the
surface and the mid-troposphere at about 500 <inline-formula><mml:math id="M173" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>. The
comparison of the difference of profiles between future and
past/present (Fig. <xref ref-type="fig" rid="Ch1.F5"/>a, lower
panel) reveals decreasing bromine values from VSLS by about
0.1–0.8 <inline-formula><mml:math id="M174" display="inline"><mml:mi mathvariant="normal">ppt</mml:mi></mml:math></inline-formula> throughout the troposphere, while there is an
increase of the same order of magnitude in the lower
stratosphere. Similar results have been published for RCP4.5 and
RCP8.5 scenarios, attributing these to changes in the tropospheric
circulation and to the primary oxidant
<inline-formula><mml:math id="M175" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx15" id="paren.54"/>. The amount of inorganic PG
from VSLS (<inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">y</mml:mi><mml:mi mathvariant="normal">VSLS</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>) in the UTLS is decreasing by the
same order of magnitude due to the enhanced upwelling in the
tropics. As air in the UTLS becomes younger in a future climate,
less SG (<inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">org</mml:mi><mml:mi mathvariant="normal">VSLS</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>) will be dissociated into PG
(<inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">y</mml:mi><mml:mi mathvariant="normal">VSLS</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>) compared to present day. For 2016, this
decline is compatible with a decreasing amount of VSLS in the
troposphere. A slight excess of <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">y</mml:mi><mml:mi mathvariant="normal">VSLS</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> in the
stratosphere is found for 1980 in comparison to 2016 and
2100. This excess and the strong variability (denoted by the shown
standard deviation) can be attributed to the hindcast period
(1950–2005) of the simulation including volcanic eruptions. Large
volcanic eruptions can influence the transport of bromine from
VSLS into the stratosphere which may be related to a similar
effect as seen in stratospheric water
vapor <xref ref-type="bibr" rid="bib1.bibx33" id="paren.55"/>. Since volcanic activity has not
been included in the future scenario, there is no such impact on
<inline-formula><mml:math id="M180" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">y</mml:mi><mml:mi mathvariant="normal">VSLS</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> from 2005 onward.</p>
      <p>The largest change between present and future stems from the
estimated decrease of long-lived SG, in particular halons and
<inline-formula><mml:math id="M181" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">Br</mml:mi></mml:mrow></mml:math></inline-formula>. At present, halons contribute about
6–7 <inline-formula><mml:math id="M182" display="inline"><mml:mi mathvariant="normal">ppt</mml:mi></mml:math></inline-formula> to the total bromine loading of the lower
stratosphere (<inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">23</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M184" display="inline"><mml:mi mathvariant="normal">ppt</mml:mi></mml:math></inline-formula>), which is about the same
amount as VSLS and <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">Br</mml:mi></mml:mrow></mml:math></inline-formula> in RC2-base-05, whereas by the
end of the century their contribution is reduced significantly to
1–2 <inline-formula><mml:math id="M186" display="inline"><mml:mi mathvariant="normal">ppt</mml:mi></mml:math></inline-formula> of total bromine (<inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">17</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M188" display="inline"><mml:mi mathvariant="normal">ppt</mml:mi></mml:math></inline-formula>). This
decline in long-lived, anthropogenically emitted SG is altering
the amount of bromine released in the stratosphere on longer timescales. VSLS are already reduced due to photochemical dissociation
when entering the TTL, while halons are dissociating more slowly,
providing a long lasting source of bromine to the stratosphere
(Fig. <xref ref-type="fig" rid="Ch1.F5"/>b, lower panel). It is
important to note that although there is an increase of
<inline-formula><mml:math id="M189" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">org</mml:mi><mml:mi mathvariant="normal">VSLS</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> of 0.5 <inline-formula><mml:math id="M190" display="inline"><mml:mi mathvariant="normal">ppt</mml:mi></mml:math></inline-formula> in the stratosphere
assuming constant ocean–atmosphere fluxes, the overall amount of
bromine in the stratosphere due to VSLS (<inline-formula><mml:math id="M191" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">tot</mml:mi><mml:mi mathvariant="normal">VSLS</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>)
might be decreasing in the future. This depends on whether PG
(<inline-formula><mml:math id="M192" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">y</mml:mi><mml:mi mathvariant="normal">VSLS</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>) are transported alongside the VSLS into the
UTLS or removed through washout in the troposphere. The model
representations of underlying processes, e.g., conversion between
soluble and insoluble inorganic bromine species through
heterogeneous chemical reactions, are still uncertain.</p>
      <p>In the following, we will derive a semi-analytic model to separate
various aspects affecting the future VSLS distribution in the
atmosphere (Sect. <xref ref-type="sec" rid="Ch1.S4.SS1"/>). Since the
atmospheric window for air entering the stratosphere is located in
the tropics, we will focus on averaged tropical atmospheric
quantities. Subsequently, the transition between troposphere and
stratosphere caused by a rising tropopause is influencing the
interpretation of VMR profile differences between present and
future. This will be discussed in Sect. <xref ref-type="sec" rid="Ch1.S4.SS2"/>.</p>
<sec id="Ch1.S4.SS1">
  <title>Quantification of future atmospheric changes affecting VSLS mixing ratio profiles</title>
      <p>The increase of VSLS in the stratosphere in the future can be
attributed to changes in chemical and photolytical dissociation
rates and alternating transport from source regions through the
TTL caused by a speed-up of the Brewer–Dobson
circulation (BDC) <xref ref-type="bibr" rid="bib1.bibx15" id="paren.56"/>.  All of these factors
influence the lifetime of VSLS in the atmosphere. A volume of air
in a certain height (or rather pressure coordinate) shall have an
associated mean temperature <inline-formula><mml:math id="M193" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> concentration
[<inline-formula><mml:math id="M195" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>], photolysis frequency <inline-formula><mml:math id="M196" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>, and age of air (AOA).  In
the model, VSLS are dissociated photochemically via
<?xmltex \hack{\arraycolsep 0 pt}?>

                <disp-formula specific-use="rxnarray" content-type="numbered"><mml:math id="M197" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="R1"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">Br</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="R2"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBr</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mn mathvariant="normal">3</mml:mn><mml:mi mathvariant="normal">Br</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            and
<?xmltex \hack{\arraycolsep 0 pt}?>

                <disp-formula specific-use="rxnarray" content-type="numbered"><mml:math id="M198" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="R3"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi>h</mml:mi><mml:mi mathvariant="italic">ν</mml:mi><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">Br</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">products</mml:mi></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="R4"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBr</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi>h</mml:mi><mml:mi mathvariant="italic">ν</mml:mi><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mn mathvariant="normal">3</mml:mn><mml:mi mathvariant="normal">Br</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">products</mml:mi></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            The simplification in these equations compared to reality is
justified since the intermediate reaction products <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CBr</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CHBrO</mml:mi></mml:mrow></mml:math></inline-formula> insignificantly amount to the total bromine
PG <xref ref-type="bibr" rid="bib1.bibx14" id="paren.57"/>.  From the resulting first-order
differential equation

                <disp-formula id="Ch1.E2" content-type="numbered"><mml:math id="M201" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mo>[</mml:mo><mml:mi mathvariant="normal">A</mml:mi><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>]</mml:mo><mml:mo>⋅</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">A</mml:mi><mml:mo>]</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi>J</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">A</mml:mi><mml:mo>]</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          with [A] any of the VSLS species concentration, <inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
the temperature dependent rate coefficient, <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the
photolysis frequency <xref ref-type="bibr" rid="bib1.bibx46" id="paren.58"/>, and assuming [<inline-formula><mml:math id="M204" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>] is
unchanged by the reaction, a simple solution of
Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>) is derived:

                <disp-formula id="Ch1.E3" content-type="numbered"><mml:math id="M205" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>[</mml:mo><mml:mi mathvariant="normal">A</mml:mi><mml:mo>]</mml:mo><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi>exp⁡</mml:mi><mml:mfenced close=")" open="("><mml:mo>-</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi>J</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mfenced><mml:mo>⋅</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">A</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          Based on the above equation, the influence of [<inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>], temperature,
transport, and photolysis rate can be studied. For inferring the
change in chemical dissociation, 10-year average profiles of
[<inline-formula><mml:math id="M207" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>] and 1-year average profiles of temperature have been
computed from RC2-base-05 data for the present day (2016) and future
(2100). The idea is to assess the effect of transport timescales
(<inline-formula><mml:math id="M208" 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:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>) by using 10-year averages of mean AOA from
RC2-base-05 data (neglecting the age spectrum in the described
volume of air). AOA shall refer to the time since an air parcel has
been in contact with ground level. It has been evaluated in the
EMAC simulation from an artificial, passive tracer with linearly
increasing emission. Photolysis frequencies have been computed from
averaged tropical profiles of temperature, humidity, and ozone
column using the column version of
<monospace>jval</monospace> <xref ref-type="bibr" rid="bib1.bibx47" id="paren.59"/> from EMAC. In case of
photolysis frequencies, temperature dependence will not be
discussed separately.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>Tropical average profiles from ESCiMo RC2-base-05 simulation of changing variables in Eq. (<xref ref-type="disp-formula" rid="Ch1.E3"/>) for present day (solid lines)
and future (dashed lines). <bold>(a)</bold> Temperature, OH concentration, and age of air; <bold>(b)</bold> lifetime of <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBr</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/11313/2017/acp-17-11313-2017-f06.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p>Relative difference of VSLS vertical profiles for 2000 and 2100. Major influences on lifetime have been separated. Shown are resulting profiles by varying the denoted variables, mean temperature <inline-formula><mml:math id="M210" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> concentration [<inline-formula><mml:math id="M212" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>], photolysis frequency <inline-formula><mml:math id="M213" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>, and age of air (AOA), in Eq. (<xref ref-type="disp-formula" rid="Ch1.E3"/>) one by one.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/11313/2017/acp-17-11313-2017-f07.pdf"/>

        </fig>

      <p>In Fig. <xref ref-type="fig" rid="Ch1.F6"/>a, averaged profiles of
temperature, AOA, and [<inline-formula><mml:math id="M214" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>] are shown. Mean tropospheric
temperatures are higher, while stratospheric temperatures are lower
in the future, which is in line with other studies (e.g.,
<xref ref-type="bibr" rid="bib1.bibx19" id="altparen.60"><named-content content-type="post">Chap. 12</named-content></xref>, <xref ref-type="bibr" rid="bib1.bibx12" id="altparen.61"><named-content content-type="post">Chap. 2</named-content></xref>). The
concentration of <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> is increased throughout the atmosphere,
apart from the lowermost levels. AOA will become notably younger
within the stratosphere by the end of the century, as shown in
various other
studies <xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx3 bib1.bibx7 bib1.bibx29 bib1.bibx37" id="paren.62"/>
and become slightly older (by a few days) in the
troposphere. Vertical profiles of the <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBr</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> lifetime for
present and future are shown in
Fig. <xref ref-type="fig" rid="Ch1.F6"/>b. Because of an increase in
photolysis rates due to increasing temperatures, the <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBr</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
lifetime is decreasing. <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is not shown, since its
lifetime with respect to photolysis is almost infinite in the
troposphere and thus determined by reaction with <inline-formula><mml:math id="M219" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p>By varying the variables in Eq. (<xref ref-type="disp-formula" rid="Ch1.E3"/>) one by
one, the impact of each on the resulting profile difference
(<inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>[</mml:mo><mml:mi mathvariant="normal">A</mml:mi><mml:mo>]</mml:mo><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">A</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) has been calculated
(Fig. <xref ref-type="fig" rid="Ch1.F7"/>). The increase of [<inline-formula><mml:math id="M221" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>] in
the RCP6.0 scenario results in a general decreasing VMR of VSLS in
the troposphere and lower stratosphere. The influence is highest at
500 <inline-formula><mml:math id="M222" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> and around the tropopause. <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is
affected more strongly by a change of [<inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>] due to chemical
destruction (<inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M226" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>) than <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBr</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M228" 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="M229" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>). The change in mean temperatures causes
a tropospheric VMR decrease by at most 2 <inline-formula><mml:math id="M230" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>. In the
stratosphere, decreasing temperatures increase
<inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>[</mml:mo><mml:mi mathvariant="normal">A</mml:mi><mml:mo>]</mml:mo><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">A</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by about 1 <inline-formula><mml:math id="M232" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>.  An
increased AOA in the troposphere is reflected by a decreasing
<inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>[</mml:mo><mml:mi mathvariant="normal">A</mml:mi><mml:mo>]</mml:mo><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">A</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M234" 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="M235" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>), while
the opposite is true for the juvenescence of air in the
stratosphere (8–18 <inline-formula><mml:math id="M236" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>). For <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the impact of
AOA is apparently overestimated in the lower stratosphere by this
ansatz, which might be because of the neglected AOA spectrum
representing a mixing of different air masses. Since the
photolytical lifetime of <inline-formula><mml:math id="M238" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the troposphere is
infinite, it has no influence on the tropospheric part of the
profile. A weak decrease on the order of 1–2 <inline-formula><mml:math id="M239" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> is
apparent in the lower stratosphere. This has been found to be
mainly driven by temperature sensitivity of photolysis. In case of
<inline-formula><mml:math id="M240" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBr</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, a 1–2 <inline-formula><mml:math id="M241" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> decrease due to changing
photolysis is found in the free and upper troposphere. This change
in photolysis rate is mainly due to changes in tropical ozone
abundance.</p>
      <p>If all occurring changes are included, the actual profile
differences between future and present are rather well reproduced
(shown in red). These VMR profiles are 10-year averages for the
tropics. The corresponding standard deviation is plotted as shaded
error band. The decreasing VMR of VSLS in the troposphere is on the order of 5–7 <inline-formula><mml:math id="M242" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> (at about 250 <inline-formula><mml:math id="M243" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>) for
<inline-formula><mml:math id="M244" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M245" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBr</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, respectively. In the
stratosphere, the maximum increase, dependent on species, occurs at
differing pressure levels and amounts to 7–8 <inline-formula><mml:math id="M246" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>.</p>
      <p>In summary, all occurring future changes are decreasing VMR of VSLS
in the troposphere. In case of <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBr</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, all factors are of
the same order of magnitude. The tropospheric decrease of
<inline-formula><mml:math id="M248" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> VMR is mainly driven by increasing [<inline-formula><mml:math id="M249" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>]. In
the upper troposphere–lower stratosphere (UTLS), the impact of
the juvenescence of AOA dominates, causing an increase in VMR.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>Model mean tropical tropopause from RC2-base-05 over a timespan of 150 years. Tropopause data have been evaluated after the apparent spinup of about 10 years. A rise of the mean tropical tropopause of <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.81</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:mi mathvariant="normal">hPa</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">decade</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> is found by linear regression.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/11313/2017/acp-17-11313-2017-f08.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p>Spline fitted vertical profiles of brominated substances divided into SG (<inline-formula><mml:math id="M252" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>),
PG (<inline-formula><mml:math id="M253" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and SG + PG (<inline-formula><mml:math id="M254" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">tot</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) in the tropics (20<inline-formula><mml:math id="M255" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N–20<inline-formula><mml:math id="M256" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S)
with respect to the mean tropical tropopause. Data from ESCiMo RC2-base-05 simulation <xref ref-type="bibr" rid="bib1.bibx22" id="paren.63"/>.
Absolute values of VMR are in the upper panel and the difference <inline-formula><mml:math id="M257" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>VMR with respect to 2100 values in the lower panel.
<bold>(a)</bold> Bromine from VSLS; <bold>(b)</bold> bromine from <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">Br</mml:mi></mml:mrow></mml:math></inline-formula> and halons.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/11313/2017/acp-17-11313-2017-f09.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><caption><p>Zonal mean ozone trend from RC2-base-05 (1950–2100) and RT1a<inline-formula><mml:math id="M259" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>RT1b (2080–2100). Smoothed with moving average box window 11 years.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/11313/2017/acp-17-11313-2017-f10.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><caption><p>Ozone reduction due to VSLS. Medium-term full-chemistry future simulation with
and without VSLS. Zonal mean profile of decadal mean difference in percent
(<inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mtext>RT1a</mml:mtext><mml:mo>-</mml:mo><mml:mtext>RT1b</mml:mtext><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mtext>RT1a</mml:mtext><mml:mo>×</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula>). Dashed lines indicate a decrease of ozone in the simulation with VSLS turned on (RT1a) compared to the one with VSLS turned off (RT1b). The average tropopause is shown as red line. Significance is indicated by blue shaded areas. The significance is estimated as manifold of difference from zero in units of standard error of mean difference.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/11313/2017/acp-17-11313-2017-f11.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <title>Implications of a rising tropopause on VSLS mixing ratio profiles</title>
      <p>The GHG induced warming of the troposphere and cooling of the
stratosphere causes a rise of the tropopause. Model mean tropical
tropopause heights from RC2-base-05 have been smoothed using
a moving average with a box window size of 11 years. The
corresponding standard deviation is displayed as yellow band in
Fig. <xref ref-type="fig" rid="Ch1.F8"/>. A linear regression fit on the smoothed
model mean tropical tropopause height yields a rise of
<inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.81</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mi mathvariant="normal">hPa</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">decade</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. This is in accordance
with results from ECMWF reanalysis data for the past 2
decades <xref ref-type="bibr" rid="bib1.bibx56" id="paren.64"/>.  As indicated
by <xref ref-type="bibr" rid="bib1.bibx39" id="text.65"/> regarding the BDC, the upward shift
of the tropopause affects the interpretation of vertical profile
differences between future and past. An air parcel which would have
already entered the stratosphere under present-day conditions may
be still considered tropospheric in the future. As pointed out
earlier, profiles appear shifted by a fraction of distance between
two pressure coordinate levels. We perform a spline fit to the
averaged profiles and shift them accordingly with respect to the
mean tropopause. The fit results have been evaluated within a valid
region of <inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M264" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> around the tropopause. The results
are shown in
Fig. <xref ref-type="fig" rid="Ch1.F9"/>. Uncertainty bands
have been estimated by adding or subtracting 1 standard deviation
from the averaged VMR profiles and computing the corresponding
splines. With respect to the mean tropopause, VMR differences show
no increase of bromine from VSLS in the lower stratosphere but
rather a slight decrease
(Fig. <xref ref-type="fig" rid="Ch1.F9"/>a). A small increase
of inorganic bromine from VSLS (<inline-formula><mml:math id="M265" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">y</mml:mi><mml:mi mathvariant="normal">VSLS</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>) is found in the
tropopause region. At about 20 <inline-formula><mml:math id="M266" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">y</mml:mi><mml:mi mathvariant="normal">VSLS</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> is
reduced by 1–2 <inline-formula><mml:math id="M268" display="inline"><mml:mi mathvariant="normal">ppt</mml:mi></mml:math></inline-formula> in the future compared to
1980. Overall, a reduction of bromine in the UTLS is found at the
end of the 21st century. In
Fig. <xref ref-type="fig" rid="Ch1.F9"/>b, the amount of
bromine from <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">Br</mml:mi></mml:mrow></mml:math></inline-formula> and halons is shown. Except for a slight
increase of <inline-formula><mml:math id="M270" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">tot</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">halons</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> in the upper
stratosphere between 1980 and 2100 of about 0.7 <inline-formula><mml:math id="M271" display="inline"><mml:mi mathvariant="normal">ppt</mml:mi></mml:math></inline-formula>, there
is no increase of bromine from long-lived SG.</p>
      <p>To summarize, the increase of lower-stratospheric VSLS in
RC2-base-05 of about 5–10 <inline-formula><mml:math id="M272" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> is due to enhanced vertical
transport in the tropics. This increase is, however, counteracted
by a corresponding decrease in inorganic bromine. Everything else
unchanged, an increase in tropical upwelling will therefore not
change the total amount of bromine in the future
stratosphere. Additionally, due to enhanced future <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>
concentrations in RCP6.0, the tropospheric lifetime of VSLS is
reduced which leads to a decrease of total bromine from VSLS. As
mentioned in Sect. <xref ref-type="sec" rid="Ch1.S3"/>, whether the amount of
inorganic PG in the UTLS is decreasing or not, strongly depends on
the partitioning of <inline-formula><mml:math id="M274" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and conversion of soluble
<inline-formula><mml:math id="M275" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HBr</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi></mml:mrow></mml:math></inline-formula> into insoluble <inline-formula><mml:math id="M277" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">BrO</mml:mi></mml:mrow></mml:math></inline-formula> through
heterogeneous recycling, e.g., occurring on sea-salt aerosols or
ice crystals. In case insoluble species are favored, vertical
transport would enhance the amount of PG in the UTLS. Otherwise,
wet removal in the troposphere would decrease the amount of
PG. This mechanism has not been explicitly tested in our model
simulations.  Taken an upward shift of the tropopause into
consideration and shifting the VMR profiles accordingly with
respect to the mean tropical tropopause height, a decrease of
<inline-formula><mml:math id="M278" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">tot</mml:mi><mml:mi mathvariant="normal">VSLS</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> by 0.5–2 <inline-formula><mml:math id="M279" display="inline"><mml:mi mathvariant="normal">ppt</mml:mi></mml:math></inline-formula> is found for a fixed
<inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>TP</mml:mtext></mml:msub><mml:mi>P</mml:mi><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M281" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>.</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <title>Implications on ozone depletion</title>
      <p>In this section, the influence of brominated very short-lived
source gases on ozone depletion will be discussed. Based on RT1a
and RT1b, we assess the impact of VSLS on a zonally averaged ozone
distribution at the end of the 21st century. For a thorough
discussion of future trends, the 25-year data set is too
short. However, from our long-term simulations (SC_free,
SC_nudged, RC2-base-05), long-term influence of emission
perturbations on ozone is not assessable. As described in
Sect. <xref ref-type="sec" rid="Ch1.S2"/>, SC_free does not include interactive
ozone chemistry, whereas RC2-base-05 incorporates prescribed fluxes
based on scenario five by <xref ref-type="bibr" rid="bib1.bibx55" id="text.66"/>. Furthermore,
results from RC2-base-05 cannot be compared to RT1a and RT1b directly
because of significant differences in ozone distribution and amount
between the differing vertical resolutions (L47MA and L90MA) of the
model. This issue has been already reported
by <xref ref-type="bibr" rid="bib1.bibx22" id="text.67"/>.</p>
      <p>Zonally averaged data of total column ozone have been smoothed
using a moving average algorithm with box window size of 11 years
(Fig. <xref ref-type="fig" rid="Ch1.F10"/>). In general, ozone trends at the
end of the century are roughly the same for both resolutions. The
actual amount of ozone differs, with L90 showing more ozone except
for the northern hemispheric polar region and midlatitudes. In the
Arctic, RT1a and RT1b even indicate, in contrast to RC2-base-05,
slightly decreasing total column ozone. In the case of RT1a and RT1b, this
might be partially caused by interactive aerosol and accordingly
added oceanic COS source. This bias in total column ozone between
the vertical resolutions is larger than the difference between RT1a
and RT1b.</p>
      <p>For estimating the effect of brominated VSLS on ozone depletion,
the difference in zonally averaged ozone of RT1a and RT1b has been
computed. A period of 20 years (2080–2100) has been used
accounting for an estimated model spinup of 5 years in the
beginning. In Fig. <xref ref-type="fig" rid="Ch1.F11"/>, the relative
difference (<inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mtext>RT1a</mml:mtext><mml:mo>-</mml:mo><mml:mtext>RT1b</mml:mtext><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mtext>RT1a</mml:mtext><mml:mo>×</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula>) is
shown as contour plot. Dashed lines indicate a decrease of ozone in
the simulation with VSLS turned on (RT1a) compared to the one with
VSLS turned off (RT1b), while solid lines indicate an
increase. Significance has been estimated as divergence from zero
in units of standard error of mean. It is indicated by shades of
blue. VSLS cause a tropospheric ozone reduction on the order of
1–2 <inline-formula><mml:math id="M283" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>, mainly at high latitudes. The UTLS region in the
tropics is most affected; there VSLS cause a decrease of ozone of
about 3 <inline-formula><mml:math id="M284" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>. The decrease of ozone in the high latitude
troposphere and tropical UTLS is rendered significant. Increasing
amounts of ozone (<inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M286" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>) are found in the Antarctic
middle and upper stratosphere, but these are mainly not
significant. This increase in ozone abundance may be due to
dynamical feedback <xref ref-type="bibr" rid="bib1.bibx4" id="paren.68"/>.</p>
      <p>While VSLS have a large impact on Antarctic ozone depletion during
the ozone hole period, i.e., during times with high-stratospheric
chlorine loading from about the late 1970s to the second half of
the 21st century
(e.g., <xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx40 bib1.bibx48 bib1.bibx57" id="altparen.69"/>),
we find that by the end of the 21st century VSLS have less impact on total Antarctic stratospheric
ozone depletion under low chlorine
loading, although their importance relative to the total
stratospheric halogen load is increasing (about 40 <inline-formula><mml:math id="M287" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> in
accordance to <xref ref-type="bibr" rid="bib1.bibx8" id="altparen.70"/>). Assuming an adherence
to the Montreal Protocol, stratospheric volume mixing ratios of
<inline-formula><mml:math id="M288" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> will decrease exponentially in the course of the 21st
century from its peak values in 2000. From the <xref ref-type="bibr" rid="bib1.bibx12" id="text.71"><named-content content-type="post">Chap. 2,
Figs. 2–21</named-content></xref>, a decline of <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> loading at
1 <inline-formula><mml:math id="M290" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> of about 2 <inline-formula><mml:math id="M291" display="inline"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:math></inline-formula> between 2000 and 2080 can be
deduced. In accordance, we find a reduction of zonally averaged
stratospheric <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at 1 <inline-formula><mml:math id="M293" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> of 2.1 <inline-formula><mml:math id="M294" display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula> by
the end of the 21st century compared to year 2000 in
RC2-base-05. Since RT1a and RT1b have identical chlorine load and do
not include present day, we cannot assess the chlorine moderation
effect from these two simulations. <xref ref-type="bibr" rid="bib1.bibx48" id="text.72"/> have
shown a reduction of ozone due to VSLS in the TTL region on the order of 6 <inline-formula><mml:math id="M295" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> during the period 1970–1982 with
significantly less stratospheric chlorine compared to the later
period 1983–2005 (7 <inline-formula><mml:math id="M296" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>), while
<xref ref-type="bibr" rid="bib1.bibx16" id="text.73"><named-content content-type="pre">Supplement</named-content><named-content content-type="post">Fig. S3</named-content></xref> have shown a change of
total ozone column due to VSLS (on/off scenario) of the order of
1–3 <inline-formula><mml:math id="M297" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> in pre-industrial conditions. Given that the VSLS
emission scenario five of <xref ref-type="bibr" rid="bib1.bibx55" id="text.74"/> used in
RC2-base-05 has about twice the amount of VSLS compared to RT1a and
chlorine abundance in the stratosphere will drop to 1970 values by
the end of the 21st century <xref ref-type="bibr" rid="bib1.bibx19" id="paren.75"><named-content content-type="pre">see</named-content><named-content content-type="post">Chap. 12</named-content></xref>, our
results are in good agreement with these previous studies. In more
detail, <xref ref-type="bibr" rid="bib1.bibx57" id="text.76"/> investigated the combined influence of
brominated VSLS and chlorine on ozone. For two stratospheric
<inline-formula><mml:math id="M298" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> loadings (3, 0.8 <inline-formula><mml:math id="M299" display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>), which correspond to 2000
and 2100, they have varied the amount of VSLS. <xref ref-type="bibr" rid="bib1.bibx57" id="text.77"/>
have shown the more chlorine in the stratosphere the stronger ozone
is affected by an increase of bromine VMR from VSLS. In concert
with our results, although by doubling the initial amount of VSLS
on a varying bromine background from anthropogenic sources, they
have found a significant decrease of ozone in the tropical UTLS and
polar region on the order of 2–4 <inline-formula><mml:math id="M300" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> and slight,
insignificant increases in the Antarctic
mid-stratosphere <xref ref-type="bibr" rid="bib1.bibx57" id="paren.78"><named-content content-type="post">Fig. 1e</named-content></xref>.</p>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <title>Conclusions</title>
      <p>We have investigated long-term changes in emission and transport of
brominated VSLS under a changing climate (RCP6.0). Under the
implicit assumption of constant concentrations of VSLS in the ocean
waters, over a timespan of 120 years, we have found an enhancement
of zonally averaged fluxes of <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBr</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> on the order of 10 <inline-formula><mml:math id="M303" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> between present day and the end of the
21st century. A strong increase of flux (up to 55 <inline-formula><mml:math id="M304" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> in
<inline-formula><mml:math id="M305" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and 25 <inline-formula><mml:math id="M306" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> in <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHBr</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) has been found
in the northern hemispheric polar region. There, the retreat of sea
ice is playing a key role. Exposing almost the entire polar ocean
in August–September by the end of the 21st century, sea ice does
not longer act as a lid to ocean–atmosphere fluxes of VSLS. Sea
ice itself has not been considered a source of VSLS in our
simulations. Subsequently, an increase of organic bromine in the
UTLS is found of the same order of magnitude (8–10 <inline-formula><mml:math id="M308" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>).</p>
      <p>Ocean–atmosphere fluxes are sensitive to the abundance of VSLS in
the atmosphere as well as on wind speed. An increased dissociation
of VSLS in the lowermost troposphere, e.g., due to increasing
<inline-formula><mml:math id="M309" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in the RCP6.0 scenario, reduces the
atmospheric concentration and therefore increases the flux from the
ocean to the atmosphere without necessarily increasing the actual
amount which is transported to the stratosphere. The total amount
of bromine from VSLS transported through the UTLS strongly depends
on the washout of inorganic PG (<inline-formula><mml:math id="M310" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">y</mml:mi><mml:mi mathvariant="normal">VSLS</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>) and hence on
the partitioning and heterogeneous reactions converting
<inline-formula><mml:math id="M311" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">y</mml:mi><mml:mi mathvariant="normal">VSLS</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> between soluble (e.g., <inline-formula><mml:math id="M312" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HBr</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M313" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi></mml:mrow></mml:math></inline-formula>)
and insoluble (e.g., <inline-formula><mml:math id="M314" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">BrO</mml:mi></mml:mrow></mml:math></inline-formula>) species. But these mechanisms have
not been subject to our study.</p>
      <p>For prescribed, constant VSLS fluxes, an increase of lower-stratospheric VSLS of about 5–10 <inline-formula><mml:math id="M315" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> is due to enhanced
vertical transport in the tropics. This increase is counteracted by
a corresponding decrease in inorganic bromine. Everything else
unchanged, an increase in tropical upwelling will not change the
total amount of bromine in the future stratosphere. Additionally,
due to enhanced future <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in the RCP6.0
emission scenario, the tropospheric lifetime of VSLS is reduced,
which leads to a decrease of total bromine from VSLS. Furthermore,
we have diagnosed a decrease of <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Br</mml:mi><mml:mi mathvariant="normal">tot</mml:mi><mml:mi mathvariant="normal">VSLS</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> by
0.5–2 <inline-formula><mml:math id="M318" display="inline"><mml:mi mathvariant="normal">ppt</mml:mi></mml:math></inline-formula> for a fixed pressure level with respect to the
mean tropical tropopause <inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>TP</mml:mtext></mml:msub><mml:mi>P</mml:mi><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M320" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>, if the upward shift of the mean tropical
tropopause of <inline-formula><mml:math id="M321" display="inline"><mml:mn mathvariant="normal">0.81</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:mi mathvariant="normal">hPa</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">decade</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> is taken into
consideration.</p>
      <p>The impact of enhanced fluxes of brominated VSLS on future ozone
abundance has been evaluated by comparing two experiments of which
one has no VSLS emission and the other interactively computed
fluxes from constant ocean concentrations of VSLS. We have found
a significant reduction of ozone in the tropical UTLS of about
3 <inline-formula><mml:math id="M323" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>. In the troposphere the largest significant decrease
of ozone amounts to 1–2 <inline-formula><mml:math id="M324" display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>. Thus, bromine from VSLS may
not act as a major source to future stratospheric ozone depletion.
While interactive emissions from constant ocean concentrations have
been taken into consideration, the actual climate change inflicted
change in the production of VSLS by macroalgae in the ocean remains
an open question. Whether the found increase of ocean–atmosphere
fluxes of VSLS and a future decrease of VSLS in the troposphere
will cancel out or overcompensate would need further simulation
studies.</p>
</sec>

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

      <p>The Modular Earth Submodel System (MESSy) is continuously further developed
and applied by a consortium of institutions. The usage of MESSy and access to
the source code is licensed to all affiliates of institutions, which are
members of the MESSy Consortium. Institutions can become a member of the MESSy
Consortium by signing the MESSy Memorandum of Understanding. More information
can be found on the MESSy Consortium website
(<uri>http://www.messy-interface.org</uri>).</p>
  </notes><notes notes-type="dataavailability">

      <p>The data of the ESCiMo simulations will be made available in the Climate and
Environmental Retrieval and Archive (CERA) database at the German Climate
Computing Centre (DKRZ; <uri>http://cera-www.dkrz.de/WDCC/ui/Index.jsp</uri>). The
corresponding digital object identifiers (doi) will be published on the MESSy
Consortium web page (<uri>http://www.messy-interface.org</uri>). A subset of the
data of those simulations covering consistently the requested time periods
(1960–2010 for RC1 and 1960–2099 for RC2) will be submitted to the BADC
database for the CCMI project.</p>

      <p>Data from ROMIC-THREAT associated simulations (RT1a, RT1b) and simplified
chemistry (SC_free, SC_nudged) will be made available on request.</p>
  </notes><notes notes-type="authorcontribution">

      <p>SF performed most of the analyses and wrote the paper. BMS conceived this study and provided advice
through discussion of the analysis and results. GK developed and performed the simplified chemistry simulations as well
as part of the corresponding data analysis in Sect. <xref ref-type="sec" rid="Ch1.S3"/>. STL provided advise on the ocean–atmosphere gas exchange.
PJ provided advice as project leader of the ESCiMo consortial project and coordinator of overall EMAC model development; preparation of the ESCiMo model setups and realization of the
ESCiMo simulations of ESCiMo Consortium, with VSLS boundary conditions and implementation of the online <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Br</mml:mi></mml:mrow></mml:math></inline-formula> budget diagnostics for EMAC prepared by PG. All coauthors contributed to the discussion of the results.</p>
  </notes><notes notes-type="competinginterests">

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

      <p>This article is part of the special issue “The Modular Earth
Submodel System (MESSy) (ACP/GMD inter-journal SI)”. It is not associated
with a conference.</p>
  </notes><ack><title>Acknowledgements</title><p>Parts of this work were supported by the Deutsche Forschungsgemeinschaft
(DFG) through the research unit SHARP (SI1044/1-2), the German
Bundesministerium für Bildung und Forschung (BMBF) through the project
ROMIC-THREAT (01GL1217B), the European Union through the Horizon 2020
project GAIA-CLIM, and by the Helmholtz Association through its research
program ATMO.</p><p>The CNRM data were produced in the framework of the CCMI project, with
support of Météo-France. We particularly acknowledge the support of
M. Michou and D. Saint-Martin and of the entire team in charge of the
CNRM/CERFACS climate model.</p><p>NOAA Optimum Interpolation (OI) V2 fields were provided by the National
Centers for Environmental Prediction/National Weather Service/NOAA/US
Department of Commerce, and National Climatic Data Center/NESDIS/NOAA/US
Department of Commerce research Data Archive at the National Center for
Atmospheric Research, Computational and Information Systems Laboratory.
<uri>http://rda.ucar.edu/datasets/ds277.0/</uri>. Accessed 6 January 2016).</p><p>The ESCiMo (Earth System Chemistry integrated Modelling) model simulations
have been performed at the German Climate Computing Centre (DKRZ) through
support from the BMBF. DKRZ and its scientific steering committee are
gratefully acknowledged for providing the HPC and data archiving resources
for this consortial project.</p><p>EMAC simulations RT1a and b have been performed at Steinbuch Center for
Computing at KIT. Thanks to Stefan Versick and Oliver Kirner (KIT SimLab
Climate and Environment) for their technical support.</p><p>Special thanks to C. Brühl (MPI-Mainz) for his help in implementing
additional sulfur reactions and usage of <monospace>gmxe</monospace> in context of the
ROMIC-THREAT simulations.</p><p>S. Lennartz likes to thank B. Quack, C. Marandino, S. Tegtmeier (all
Helmholtz-Centre for Ocean Research Kiel), and K. Krüger (University of
Oslo) for their support. <?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> The article
processing charges for this open-access <?xmltex \hack{\newline}?> publication were
covered by a Research <?xmltex \hack{\newline}?> Centre of the Helmholtz Association.
<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: Michel Van Roozendael<?xmltex \hack{\newline}?>
Reviewed by: two anonymous referees</p></ack><ref-list>
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    </app></app-group></back>
    <!--<article-title-html>Brominated VSLS and their influence on ozone under a changing climate</article-title-html>
<abstract-html><p class="p">Very short-lived substances (VSLS) contribute as source gases
significantly to the tropospheric and stratospheric bromine
loading. At present, an estimated 25 % of stratospheric
bromine is of oceanic origin. In this study, we investigate how
climate change may impact the ocean–atmosphere flux of brominated
VSLS, their atmospheric transport, and chemical transformations and
evaluate how these changes will affect stratospheric ozone over the
21st century.</p><p class="p">Under the assumption of fixed ocean water concentrations and RCP6.0
scenario, we find an increase of the ocean–atmosphere flux of
brominated VSLS of about 8–10 % by the end of the 21st
century compared to present day.  A decrease in the tropospheric
mixing ratios of VSLS and an increase in the lower stratosphere are
attributed to changes in atmospheric chemistry and transport. Our
model simulations reveal that this increase is counteracted by
a corresponding reduction of inorganic bromine. Therefore the total
amount of bromine from VSLS in the stratosphere will not be changed by
an increase in upwelling. Part of the increase of VSLS in the tropical
lower stratosphere results from an increase in the corresponding
tropopause height. As the depletion of stratospheric ozone due to
bromine depends also on the availability of chlorine, we find the
impact of bromine on stratospheric ozone at the end of the 21st
century reduced compared to present day.  Thus, these studies
highlight the different factors influencing the role of brominated
VSLS in a future climate.</p></abstract-html>
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