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  <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-16-14599-2016</article-id><title-group><article-title>Assessing the sensitivity of the hydroxyl radical to model biases in composition and temperature using a single-column photochemical model for Lauder, New Zealand</article-title>
      </title-group><?xmltex \runningtitle{Quantifying biases in modelled Lauder hydroxyl radical}?><?xmltex \runningauthor{L.~L\'{o}pez-Com\'{i} et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>López-Comí</surname><given-names>Laura</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff4">
          <name><surname>Morgenstern</surname><given-names>Olaf</given-names></name>
          <email>olaf.morgenstern@niwa.co.nz</email>
        <ext-link>https://orcid.org/0000-0002-9967-9740</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff4">
          <name><surname>Zeng</surname><given-names>Guang</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9356-5021</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Masters</surname><given-names>Sarah L.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Querel</surname><given-names>Richard R.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8792-2486</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Nedoluha</surname><given-names>Gerald E.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>National Institute of Water and Atmospheric Research (NIWA), Lauder, New Zealand</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Chemistry, University of Canterbury, Christchurch, New Zealand</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>United States Naval Research Laboratory, Washington, DC, USA</institution>
        </aff>
        <aff id="aff4"><label>a</label><institution>now at: NIWA, Wellington, New Zealand</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Olaf Morgenstern (olaf.morgenstern@niwa.co.nz)</corresp></author-notes><pub-date><day>23</day><month>November</month><year>2016</year></pub-date>
      
      <volume>16</volume>
      <issue>22</issue>
      <fpage>14599</fpage><lpage>14619</lpage>
      <history>
        <date date-type="received"><day>26</day><month>May</month><year>2016</year></date>
           <date date-type="rev-request"><day>9</day><month>June</month><year>2016</year></date>
           <date date-type="rev-recd"><day>7</day><month>October</month><year>2016</year></date>
           <date date-type="accepted"><day>2</day><month>November</month><year>2016</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://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>We assess the major factors contributing to local biases in the
hydroxyl radical (OH) as simulated by a global chemistry–climate model, using
a single-column photochemical model (SCM) analysis. The SCM has been
constructed to represent atmospheric chemistry at Lauder, New Zealand, which
is representative of the background atmosphere of the Southern Hemisphere
(SH) mid-latitudes. We use long-term observations of variables essential to
tropospheric <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> chemistry, i.e. ozone (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), water vapour
(<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>), methane (<inline-formula><mml:math 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>), carbon monoxide (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>), and
temperature, and assess how using these measurements affect <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>
calculated in the SCM, relative to a reference simulation only using modelled
fields. The analysis spans 1994 to 2010. Results show that <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> responds
approximately linearly to correcting biases in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>,</mml:mo><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:mo>,</mml:mo><mml:mi mathvariant="normal">CO</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
and temperature. The biggest impact on OH is due to correcting an
overestimation by approximately 20 to 60 % of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, using
radiosonde observations. Correcting this moist bias leads to a reduction of
OH by around 5 to 35 %. This is followed by correcting predominantly
overestimated <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. In the troposphere, the model biases are mostly
in the range of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>10</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math display="inline"><mml:mrow><mml:mn>30</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>. The impact of changing <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> on
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> is due to two pathways; the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> responses to both are of
similar magnitude but different seasonality: correcting in situ tropospheric
ozone leads to changes in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> in the range <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>14</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>, whereas
correcting the photolysis rate of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in accordance with overhead
column ozone changes leads to increases of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> of 8 to <inline-formula><mml:math display="inline"><mml:mrow><mml:mn>16</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>. The
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> sensitivities to correcting <inline-formula><mml:math 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 display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>, and
temperature biases are all minor effects. The work demonstrates the
feasibility of quantitatively assessing OH sensitivity to biases in
longer-lived species, which can help explain differences in simulated OH
between global chemistry models and relative to observations. In addition to
clear-sky simulations, we have performed idealized sensitivity simulations to
assess the impact of clouds (ice and liquid) on <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>. The results
indicate that the impacts on the ozone photolysis rate and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> are
substantial, with a general decrease of OH below the clouds of up to 30 %
relative to the clear-skies situation, and an increase of up to 15 % above.
Using the SCM simulation we calculate recent OH trends at Lauder. For the
period of 1994 to 2010, all trends are insignificant, in agreement with
previous studies. For example, the trend in total-column <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> is
<inline-formula><mml:math display="inline"><mml:mrow><mml:mn>0.5</mml:mn><mml:mo>±</mml:mo><mml:mn>1.3</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> over this period.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>The hydroxyl radical (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>) is essential to atmospheric chemistry as the
leading oxidizing agent. It acts as a “detergent”, reacting with
numerous, mostly organic pollutants <xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx38 bib1.bibx74 bib1.bibx34 bib1.bibx51" id="paren.1"/> and controls the lifetimes of many trace gases
containing carbon–hydrogen bonds, particularly methane (<inline-formula><mml:math 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>), because
reaction with <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> is their dominant removal mechanism. It is also
responsible for oxidizing atmospheric trace gases such as carbon monoxide
(<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>), non-methane volatile organic compounds (NMVOCs), and also some
ozone-depleting substances such as hydrochlorofluorocarbons (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCFCs</mml:mi></mml:mrow></mml:math></inline-formula>)
<xref ref-type="bibr" rid="bib1.bibx13" id="paren.2"/>. Therefore, the oxidizing capacity of the atmosphere is
largely defined by the abundance of OH. Tropospheric ozone (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), an
air pollutant and greenhouse gas (GHG), is the primary source of OH in the
troposphere. Although it only accounts for 10 % of the total atmospheric
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> abundance, it plays an essential role in photochemical processes
controlling tropospheric composition. It forms <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> via <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
photolysis yielding excited oxygen (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:msup><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) and a subsequent reaction
of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:msup><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> with water vapour (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>). <inline-formula><mml:math 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> and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>
oxidation by <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>, and other oxidation processes involving NMVOCs, lead
to formation of tropospheric <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the presence of NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
<xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx74 bib1.bibx32" id="paren.3"/>. In low-NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
atmospheric environments, such as in much of the SH, downward transport of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the stratosphere is the main source of tropospheric
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, followed by <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> transport from other regions where it is
chemically produced <xref ref-type="bibr" rid="bib1.bibx84" id="paren.4"/>. Stratospheric <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> also plays an
important role through its impact on the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> photolysis rate
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> which is affected by the overhead <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column. For
instance, stratospheric <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> depletion produces increased UV
penetration to the troposphere. This affects the production of tropospheric
OH.</p>
      <p>The most widely used method for field measurements of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> is the
Fluorescence Assay by Gas Expansion (FAGE) technique and is based on the
measurement of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> and other species concentrations through
ultra-violet (UV) laser-induced fluorescence spectroscopy. <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>
measurements using the FAGE technique have been conducted in a large variety
of atmospheric environments, ranging from polluted <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx15" id="paren.5"/> to clean <xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx3" id="paren.6"/> atmospheres. However,
due to its very short lifetime <xref ref-type="bibr" rid="bib1.bibx60 bib1.bibx16" id="paren.7"><named-content content-type="pre">the global lifetime is estimated to be
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 s,</named-content></xref> and large variability, such in
situ measurements of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> do not sufficiently capture its global
abundance, which makes it difficult to sufficiently constrain global
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> abundances with in situ measurements <xref ref-type="bibr" rid="bib1.bibx22" id="paren.8"/>. For that
reason, modelling is an essential tool to study global <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>
is routinely included in global models of tropospheric chemistry, but the
complexity of the tropospheric chemical system and the sensitivity of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> to a variety of environmental factors mean that there is
considerable disagreement among global chemistry-transport and
chemistry–climate models regarding the global <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> abundance; this is
often expressed in terms of the <inline-formula><mml:math 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> lifetime
<xref ref-type="bibr" rid="bib1.bibx70 bib1.bibx51 bib1.bibx78" id="paren.9"><named-content content-type="pre">e.g.</named-content></xref>. Several model
studies have examined changes in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> abundance and the <inline-formula><mml:math 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>
lifetime since pre-industrial times. Chemistry-transport models (which use
off-line, precalculated meteorology) generally simulate decreases in
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> and increases in the <inline-formula><mml:math 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> lifetime, ranging from 6 to
25 % during the 21st century <xref ref-type="bibr" rid="bib1.bibx74 bib1.bibx33 bib1.bibx81" id="paren.10"/>.
These results differ from those produced by chemistry–climate models which
account for changes in both emissions and climate <xref ref-type="bibr" rid="bib1.bibx69 bib1.bibx26 bib1.bibx65 bib1.bibx84 bib1.bibx25" id="paren.11"/>. All of them project a
reduction in the <inline-formula><mml:math 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> lifetime and an increase in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>. In
particular, <xref ref-type="bibr" rid="bib1.bibx65" id="text.12"/> and <xref ref-type="bibr" rid="bib1.bibx84" id="text.13"/> obtain a <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula>10 %
decrease in the <inline-formula><mml:math 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> lifetime using different emission scenarios in
their simulations. More recent and comprehensive studies compare present-day
and future results for <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> and the <inline-formula><mml:math 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> lifetime among models
participating in the Atmospheric Chemistry and Climate Model Intercomparison
Project <xref ref-type="bibr" rid="bib1.bibx51 bib1.bibx78" id="paren.14"><named-content content-type="pre">ACCMIP,</named-content></xref>. <xref ref-type="bibr" rid="bib1.bibx51" id="text.15"/>
analyse the evolution of the <inline-formula><mml:math 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> lifetime and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> in ACCMIP
models since pre-industrial times (1850–2000). They point out large
variations in the sign and magnitude of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> changes (from <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>12.7</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>
to <inline-formula><mml:math display="inline"><mml:mrow><mml:mn>14.6</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>) amongst ACCMIP models, reflecting uncertainties in natural
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>, NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, and NMVOC emissions as well as roles of the diverse
chemical mechanisms included in the models. For present-day (year 2000)
simulations of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> and the <inline-formula><mml:math 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> lifetime,
<xref ref-type="bibr" rid="bib1.bibx78" id="text.16"/> suggest that diversity in photolysis schemes and
NMVOC emissions might cause large variations in simulated <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> and the
<inline-formula><mml:math 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> lifetime. Trends in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> between 2000 and 2100 are mainly
attributed to stratospheric <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> changes and trends in modelled
temperature fields.</p>
      <p>A useful indirect method for constraining global <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> is based on
tracking the abundance of long-lived, well mixed chemicals for which
oxidation by <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> is the dominant sink and which have a well quantified,
industrial source. The most widely used such species is methyl chloroform
(<inline-formula><mml:math 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:msub><mml:mi mathvariant="normal">CCl</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) <xref ref-type="bibr" rid="bib1.bibx59 bib1.bibx5 bib1.bibx41 bib1.bibx29" id="paren.17"/>.
<xref ref-type="bibr" rid="bib1.bibx46" id="text.18"/> use <inline-formula><mml:math 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:msub><mml:mi mathvariant="normal">CCl</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements to infer only a small
interannual variability in OH for 1998–2007. The global multi-model mean
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> inferred from the ACCMIP ensemble <xref ref-type="bibr" rid="bib1.bibx51" id="paren.19"/> increases
slightly (<inline-formula><mml:math display="inline"><mml:mrow><mml:mn>3.5</mml:mn><mml:mo>±</mml:mo><mml:mn>2.2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>) over the period 1980–2000. This result largely
agrees with <xref ref-type="bibr" rid="bib1.bibx46" id="text.20"/> and with other models <xref ref-type="bibr" rid="bib1.bibx14 bib1.bibx23 bib1.bibx25 bib1.bibx24" id="paren.21"/>, but disagree with other studies of
<inline-formula><mml:math 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:msub><mml:mi mathvariant="normal">CCl</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observations that find a decrease in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> over that
period <xref ref-type="bibr" rid="bib1.bibx60 bib1.bibx5" id="paren.22"/>. For the year 2000, <xref ref-type="bibr" rid="bib1.bibx51" id="text.23"/>
underestimate the <inline-formula><mml:math 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:msub><mml:mi mathvariant="normal">CCl</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> lifetime (and thus overestimate <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>)
by 5 to 10 % relative to observations. <inline-formula><mml:math 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:msub><mml:mi mathvariant="normal">CCl</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is controlled
under the Montreal Protocol, meaning its abundance in the atmosphere is
approaching the detection limit and it will no longer be a useful constraint
on <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> in decades to come.</p>
      <p>A further indirect method to address <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> is to measure <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn>14</mml:mn></mml:msup><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>.
<xref ref-type="bibr" rid="bib1.bibx41" id="text.24"/> find some considerable variability but no long-term
trend using this method. According to <xref ref-type="bibr" rid="bib1.bibx29" id="text.25"/>, this method is
considerably more sensitive to high-latitude than low-latitude <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>, in
contrast to the <inline-formula><mml:math 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:msub><mml:mi mathvariant="normal">CCl</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> method which is mostly sensitive to tropical
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p>Therefore, a step forward in addressing the uncertainty in modelling
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> in global models
is to quantitatively assess the contributions of biases in long-lived species that are central to OH. This sometimes involves juxtaposing
global models to local-scale (box or single-column) models constrained as
much as possible by observations and incorporating only fast photochemical
processes. For example, <xref ref-type="bibr" rid="bib1.bibx17 bib1.bibx18" id="text.26"/> develop a box
model to assess the sensitivity of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to biases in
long-lived species, and compare the model results to observations. However,
their analyses only pertain to polluted environments not representative of
much of the global atmosphere and only take in episodic and surface
measurements. Single-column models have been applied to modelling the
atmospheric boundary layer <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx10" id="paren.27"/>, diabatic
processes <xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx2" id="paren.28"/>, clouds and aerosols
<xref ref-type="bibr" rid="bib1.bibx30 bib1.bibx31 bib1.bibx11" id="paren.29"/>, the impacts of GHGs on
climate change <xref ref-type="bibr" rid="bib1.bibx79" id="paren.30"/>, and the chemistry of halogen compounds
<xref ref-type="bibr" rid="bib1.bibx57 bib1.bibx27" id="paren.31"/>. Tropospheric <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> chemistry of the remote
atmosphere has not been assessed in a single-column model framework before.</p>
      <p>In the present paper, we introduce and evaluate a single-column model (SCM)
constrained with available long-term observations at Lauder, New Zealand
(45<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, 170<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E, 370 m above sea level), to investigate how
chemistry–climate model biases in long-lived chemical
species and temperature affect <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>. Lauder is known for its clean air <xref ref-type="bibr" rid="bib1.bibx68 bib1.bibx42" id="paren.32"/> and large diversity of available measurements
<xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx42 bib1.bibx82" id="paren.33"><named-content content-type="pre">it is part of the Network for the Detection of Atmospheric Composition Change (NDACC),</named-content></xref>.
Observations made at Lauder include UV radiation and surface, profile, and/or total columns of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and several other species.
The <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, and temperature records produced by ozone sondes
cover 1986 to the present. Lauder therefore is ideal for this kind of
study. The SCM is built around a medium-complexity stratosphere–troposphere
chemistry scheme. The model is forced with Lauder observations and/or output
from a chemistry–climate model that uses the same scheme (see below). In
Sect. <xref ref-type="sec" rid="Ch1.S2"/>, we describe the set-up of the SCM, the construction of time
series of key species and meteorological parameters that drive the SCM, and
the simulations. In Sect. <xref ref-type="sec" rid="Ch1.S3"/>, we present results of simulated OH
concentrations and trends from the SCM and analyse the sensitivity of OH to
various forcings. Conclusions are gathered in Sect. <xref ref-type="sec" rid="Ch1.S4"/>.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Simulations performed with the SCM to assess the contribution of
changes in the key forcings to OH chemistry at Lauder under clear-sky
conditions. The table includes the type of measurement/dataset used to
prescribe the key forcings. The time period of simulation is between 1994 and
2010.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Forcings</oasis:entry>  
         <oasis:entry colname="col2">Data used</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">1. Kinetics effect: <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> changes <inline-formula><mml:math display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> ozone sondes (0–25 km) <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> MOPI1 (26–84 km)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"> NIWA–UKCA data for other species and temperature</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">2. Photolysis effect: <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> changes according to <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> changes</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"> NIWA–UKCA data for all species and temperature</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">3. Kinetics <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> photolysis effects: <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> changes <inline-formula><mml:math display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> ozone sondes <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> MOPI1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"> <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> changes according to <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> changes</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"> NIWA–UKCA data for other species and temperature</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">1. Changes in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> radiosondes (0–8 km) <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NIWA–UKCA <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (9–84 km)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"> NIWA–UKCA data for other species and temperature</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">2. Changes in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> ERAI (0–8 km) <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NIWA–UKCA <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (9–84 km)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"> NIWA–UKCA data for other species and temperature.</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math 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></oasis:entry>  
         <oasis:entry colname="col2">Changes in <inline-formula><mml:math 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 display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> rescaled NIWA–UKCA <inline-formula><mml:math 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> to Cape Grim surface <inline-formula><mml:math 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></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"> NIWA–UKCA data for other species and temperature.</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">Changes in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> rescaled NIWA–UKCA <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> profiles to FTIR <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"> NIWA–UKCA data for other species and temperature</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><?xmltex \hack{\hspace{5.3cm}}?> radiosondes (surface–25 km) <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">1. Kinetics effect: temperature changes <inline-formula><mml:math display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> NCEP/NCAR reanalyses (26–50 km) <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><?xmltex \hack{\hspace{5.3cm}}?> lidar climatology (50–84 km)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"> NIWA–UKCA data for all species</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">2. Photolysis effect: <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> changes according to temperature changes</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"> NIWA–UKCA data for all species and temperature</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><?xmltex \hack{\hspace{7.1cm}}?> radiosondes (surface–25 km) <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">3. Kinetics <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> photolysis effects: temperature changes <inline-formula><mml:math display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> NCEP/NCAR (26–50 km) <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><?xmltex \hack{\hspace{7.1cm}}?> lidar climatology (50–84 km)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"> <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> changes according to temperature changes</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"> NIWA–UKCA data for all species</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>,</oasis:entry>  
         <oasis:entry colname="col2">Changes in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>,</mml:mo><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:mo>,</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>, and temperature using observations mentioned above.</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"><inline-formula><mml:math 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 display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">For <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, radiosonde (0–8 km) + NIWA–UKCA (9–84 km) data are used.</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Reference</oasis:entry>  
         <oasis:entry colname="col2">NIWA–UKCA data for all species and temperature</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{p}?><fig id="Ch1.F1" specific-use="star"><caption><p><bold>(a)</bold> Time series of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profiles constructed by
ozone sonde measurements spliced with MOPI1 measurements. <bold>(b)</bold> Time
series of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> profiles constructed by radiosonde measurements spliced
with NIWA–UKCA <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (time series of ERAI – NIWA–UKCA <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is
not displayed here). <bold>(c)</bold> Time series of <inline-formula><mml:math 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> profiles
constructed by rescaling the NIWA–UKCA <inline-formula><mml:math 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> to surface <inline-formula><mml:math 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>
measurements from Cape Grim (Tasmania). <bold>(d)</bold> Time series of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>
profiles constructed by rescaling the NIWA–UKCA <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>
measurements from the FTIR spectrometer. <bold>(e)</bold> Time series of
temperature profiles constructed by radiosonde measurements (up to 25 km)
merged with NCEP/NCAR reanalyses up to the stratopause (50 km) and a
mesospheric climatology based on local lidar measurements. Above 25 km these
data are as used in the retrieval of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from MOPI1 measurements. The
areas within black boxes were filled using a Fourier series gap filling
method.</p></caption>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14599/2016/acp-16-14599-2016-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <title>Models and simulations</title>
<sec id="Ch1.S2.SS1">
  <title>The single-column photochemical model (SCM)</title>
      <p>The single-column photochemical model is a stand-alone version of the
stratosphere–troposphere chemistry mechanism used by the National Institute
of Water and Atmospheric Research (NIWA) and United Kingdom Chemistry and Aerosol
(UKCA) model (NIWA–UKCA), which comprises gas-phase photochemical reactions relevant
to the troposphere and stratosphere <xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx49 bib1.bibx73 bib1.bibx54 bib1.bibx50" id="paren.34"/>. For consistency with NIWA–UKCA,
the SCM uses the same chemical mechanism. Had we used a more complex
mechanism (which the SCM approach lends itself to), then a direct comparison
with the NIWA–UKCA output would no longer be possible, and also the results
would be less relevant to other global CCMs characterized by relatively
simple chemical mechanisms. The 60 vertical levels of the SCM are the same as
in NIWA–UKCA, extending to 84 km. We do not use horizontal interpolation and
take profiles of atmospheric properties from the grid point closest to Lauder
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mn>45</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> S, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mn>168.75</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> E). Unlike NIWA–UKCA, the SCM excludes
all non-chemistry processes, such as transport, dynamics, the boundary-layer
scheme, radiation, emissions, etc. This means the model is only suitable for
assessing fast photochemistry. Forcing data for the SCM are mostly
interpolated from 10-daily instantaneous outputs from a NIWA–UKCA simulation
(see below), except for those fields for which observational data are used.</p>
      <p><xref ref-type="bibr" rid="bib1.bibx49" id="text.35"/> and <xref ref-type="bibr" rid="bib1.bibx54" id="text.36"/> describe the chemistry scheme
included in the SCM. The SCM includes an isoprene oxidation scheme
<xref ref-type="bibr" rid="bib1.bibx58 bib1.bibx83 bib1.bibx50" id="paren.37"/> not included in the NIWA–UKCA
model version used by <xref ref-type="bibr" rid="bib1.bibx49" id="text.38"/>. In addition to <inline-formula><mml:math 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> and
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>, the model includes a number of primary NMVOC source gases, i.e. ethane (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), propane
(<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), acetone (<inline-formula><mml:math 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:msub><mml:mi mathvariant="normal">COCH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), formaldehyde (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi></mml:mrow></mml:math></inline-formula>),
acetaldehyde (<inline-formula><mml:math 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">CHO</mml:mi></mml:mrow></mml:math></inline-formula>), and isoprene (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). As noted above,
emission and deposition of species are not considered in the SCM. The SCM
includes a comprehensive formulation of stratospheric chemistry
<xref ref-type="bibr" rid="bib1.bibx47" id="paren.39"/> comprising bromine and chlorine chemistry and
heterogeneous processes on liquid sulfate aerosols. Overall, the model
represents 86 chemical species and 291 reactions including 59 photolysis and
5 heterogeneous reactions. The FAST-JX interactive photolysis scheme
<xref ref-type="bibr" rid="bib1.bibx53 bib1.bibx73" id="paren.40"/> has been implemented in the SCM; this scheme
solves a radiative transfer equation accounting for absorption by ozone. The
chemical integration is organized through a self-contained atmospheric
chemistry package <xref ref-type="bibr" rid="bib1.bibx7" id="paren.41"/>, and the differential equations
describing chemical kinetics are solved using a Newton–Raphson solver
<xref ref-type="bibr" rid="bib1.bibx47" id="paren.42"/>.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Construction of vertical profiles of forcing species and meteorological parameters</title>
      <p>Time series of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>,</mml:mo><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:mo>,</mml:mo><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>, and temperature profiles are produced
using mainly long-term measurements from Lauder, supplemented with NIWA–UKCA
results as detailed below. Lauder is a member of several international
networks, including the NDACC (<uri>http://www.ndsc.ncep.noaa.gov</uri>), the
Global Reference Upper Air Network (GRUAN; <uri>http://www.gruan.org</uri>), and
Global Atmosphere Watch (GAW;
<uri>http://www.wmo.int/pages/prog/arep/gaw/gaw_home_en.html</uri>), where these
data are archived and made available. The networks coordinate long-term
observations of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, various other constituents, and meteorological
parameters. Here we briefly describe the procedure of constructing forcing
data, using Lauder observations, to be used to constrain the SCM. The
resulting profiles are shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>.</p>
      <p><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profiles used here are a combination of ozone sonde time series
<xref ref-type="bibr" rid="bib1.bibx4" id="paren.43"><named-content content-type="pre">from the surface to 25 km,</named-content></xref> combined with the
Microwave Ozone Profiler Instrument 1 (MOPI1) time series for altitudes above
25 km <xref ref-type="bibr" rid="bib1.bibx6 bib1.bibx52" id="paren.44"/>, covering 1994 to 2010
(Fig. <xref ref-type="fig" rid="Ch1.F1"/>a). The ozone sondes have been launched approximately
weekly; this defines the temporal coverage of the forcing data used in the
SCM calculations. Microwave measurements used here come as several profiles a
day at a variable spacing; we interpolate them to the ozone sonde launch
times. Any missing data (during the two periods when the microwave instrument
was out of service) are filled using a Fourier series gap-filling method. We
compare the two datasets in the height region usefully covered by both (20 to
30 km). The differences between the two measurements range between <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">6</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>, and a mean bias that is less than <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profiles
are linearly interpolated onto the SCM's grid. Total column ozone calculated
by integrating the observed <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profiles is also compared to
total-column <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measured by the Lauder Dobson instrument; the
difference is about 5 % on average <xref ref-type="bibr" rid="bib1.bibx39" id="paren.45"/>. Lauder ozone
measurements have been used in various World Meteorological Organization
(WMO) ozone assessments <xref ref-type="bibr" rid="bib1.bibx82" id="paren.46"><named-content content-type="pre">e.g.</named-content></xref>.</p>
      <p><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> profiles have been constructed using the weekly radiosonde
measurements of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> vapour below 8 km (the same soundings that also
measure ozone) and NIWA–UKCA model output data above. For validation, we use
the monthly National Atmospheric and Oceanic Administration
(NOAA) Frost Point Hygrometer (FPH) <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> vapour
measurements <xref ref-type="bibr" rid="bib1.bibx77 bib1.bibx21" id="paren.47"/>, which start in 2003. FPHs are more
accurate compared to radiosonde hygrometers, particularly for stratospheric
conditions. However, due to the later start of the FPH time series and the
lower measurement frequency, radiosonde measurements are used in this study.
The comparison of FPH and radiosonde <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> reveals differences that are
generally less than <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn> 5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> in the lower and middle troposphere but
generally increase in and above the tropopause region <xref ref-type="bibr" rid="bib1.bibx39" id="paren.48"><named-content content-type="pre"><inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 11
km,</named-content></xref>. The radiosonde hygrometers have some known problems with
measuring low humidity <xref ref-type="bibr" rid="bib1.bibx45" id="paren.49"/>. This is reflected in the
large differences observed particularly at these altitudes (up to 30 %)
and, to a lesser degree, below them (Fig. <xref ref-type="fig" rid="Ch1.F2"/>a). In a comparison of
NIWA–UKCA output with FPH <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, larger discrepancies are found
throughout the whole troposphere and tropopause region (Fig. <xref ref-type="fig" rid="Ch1.F2"/>b),
as can be expected from a low-resolution model unconstrained by observations
and subject to problems with modelling <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. Given the consistency of
FPH and radiosonde <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> below 8 km found before, here we use
radiosonde data up to 8 km of altitude merged, in the absence of a more
suitable dataset, with NIWA–UKCA output above that.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p><bold>(a)</bold> Multi-annual and monthly mean percentage differences between
radiosonde and FPH <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> measurements. <bold>(b)</bold> Multi-annual and
monthly-mean percentage differences between NIWA–UKCA output and FPH
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14599/2016/acp-16-14599-2016-f02.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p>Multi-annual and monthly-mean <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> responses to <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
biases between observations and the reference simulation. <bold>(a)</bold>
Difference in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (%) between ozone sonde and NIWA–UKCA ozone,
relative to NIWA–UKCA ozone as prescribed in the reference simulation.
<bold>(b)</bold> <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> difference (%) relative to the reference simulation
accounting only for the kinetics effects of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> differences (e.g. with
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> unchanged). <bold>(c)</bold> Difference in <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
(%) relative to the reference simulation. <bold>(d)</bold> <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> difference
(%) relative to the reference simulation accounting only for
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> differences (e.g. with <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> unchanged). <bold>(e)</bold>
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> differences relative to the reference simulation considering the
combined kinetics and photolysis effects. <bold>(f)</bold> Sum of <bold>(b)</bold>
and <bold>(d)</bold>.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14599/2016/acp-16-14599-2016-f03.pdf"/>

        </fig>

      <p>We use surface in situ measurements from Cape Grim, Tasmania
<xref ref-type="bibr" rid="bib1.bibx9" id="paren.50"/> to rescale NIWA–UKCA model profiles, producing
<inline-formula><mml:math 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> profiles that coincide with the ozone sonde launches. The
NIWA–UKCA model simulation had been constrained with historical global-mean
surface <inline-formula><mml:math 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> values, resulting in an overestimation relative to the
Cape Grim data by <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> (not shown), and both data show a <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>
increase in <inline-formula><mml:math 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> at the surface over the period between 1994 and 2010.
Cape Grim <inline-formula><mml:math 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> is a good surrogate for the Lauder measurements because
<inline-formula><mml:math 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> is a long-lived, well-mixed atmospheric constituent.</p>
      <p>The time series of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> profile over the period of 1994–2010 has been
constructed using the NIWA–UKCA CO profiles, rescaled such that the total
columns match those obtained from the mid-infrared Fourier Transform
Spectrometer (FTS) at Lauder <xref ref-type="bibr" rid="bib1.bibx64 bib1.bibx85 bib1.bibx48" id="paren.51"/>.
Gaps in the total-column FTS series, such as the period between 1994 and 1996
when the FTS measurements had not started yet, are filled using a regression
fit accounting for the mean annual cycle (modelled as a 6-term harmonic
series) and the linear trend.</p>
      <p>The time series of temperature profiles are constructed following the same
procedure as used in the construction of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profiles, comprising the
radiosonde temperature profiles (from the surface to 25 km) merged with
NCEP/NCAR reanalyses <xref ref-type="bibr" rid="bib1.bibx28" id="paren.52"/> temperatures used in the retrieval
of MOPI1 ozone (above 25 km) for the period of 1994–2010. From near the
stratopause upwards the NCEP/NCAR temperatures are merged with a mesospheric
climatology based on local lidar measurements. There are some warm anomalies
occurring in the data at 40–60 km during winter months (e.g. in 1996); these
may reflect planetary wave breaking in the upper stratosphere.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Simulations</title>
      <p>We perform SCM simulations covering the period of 1994–2010, summarized in
Table <xref ref-type="table" rid="Ch1.T1"/>. The forcing data needed by the SCM consist of profile
series of temperature, pressure, optional cloud liquid and ice mass mixing
ratios, and the mixing ratios of 86 chemical compounds. With the exceptions
detailed below, these fields and species are taken from a NIWA–UKCA
simulation for the period of 1994–2010 interpolated to the times of the
ozone sonde launches. The CCM simulation used here consists of the last 17
years of a NIWA–UKCA “REF-C1” simulation conducted for the Chemistry–Climate
Model Initiative <xref ref-type="bibr" rid="bib1.bibx19" id="paren.53"><named-content content-type="pre">CCMI;</named-content></xref>. REF-C1 is a hindcast simulation
for the period of 1960–2010, using prescribed Hadley Centre Sea Ice and Sea
Surface Temperature (HadISST) fields <xref ref-type="bibr" rid="bib1.bibx62" id="paren.54"/>. The surface
emissions of primary species are as described in <xref ref-type="bibr" rid="bib1.bibx19" id="text.55"/>,
ozone-depleting substances (ODSs) follow the A1 scenario of the WMO Report <xref ref-type="bibr" rid="bib1.bibx82" id="paren.56"/>, and surface (or
bulk, in the case of <inline-formula><mml:math 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>) abundances of GHGs
follow the “historical” Intergovernmental Panel on Climate Change
scenario of global-mean GHG mixing ratios <xref ref-type="bibr" rid="bib1.bibx43" id="paren.57"/>.</p>
      <p>In a “reference” simulation of the SCM all forcings are taken from this
REF-C1 simulation of NIWA–UKCA. Alternatively, in sensitivity simulations
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>,</mml:mo><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:mo>,</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>, and temperature, or all of these simultaneously,
are replaced with the time series of the profiles that are constructed using
long-term observational data as described above. For species other than those
five fields, in all cases we use NIWA–UKCA REF-C1 forcings. We evaluate the SCM
only for those times, spaced roughly weekly, for which ozone sonde data are
available. With the exceptions of those simulations assessing cloud
influences, simulations are conducted assuming clear-sky conditions.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <?xmltex \opttitle{{$\chem{OH}$} sensitivity to correcting chemistry--climate model biases}?><title><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> sensitivity to correcting chemistry–climate model biases</title>
      <p>In this section, we present sensitivity studies to assess the contribution of
biases in known factors (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>,</mml:mo><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:mo>,</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>, and temperature)
affecting <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> photochemistry at Lauder. The response of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> to
changes in each forcing is assessed individually and also in combination.</p>
<sec id="Ch1.S3.SS1">
  <?xmltex \opttitle{{$\chem{OH}$} sensitivity to {$\chem{O_{3}}$} biases}?><title><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> sensitivity to <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> biases</title>
      <p>Three sensitivity simulations are conducted to quantify the impact of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> biases (defined as differences between observed <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
NIWA–UKCA simulated <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) on <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> at Lauder.</p>
      <p>As discussed above, the rate of production <inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> of HO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> via
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:msup><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> can be expressed as
            <disp-formula id="Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">HO</mml:mi></mml:mrow><mml:mi>x</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>≈</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><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:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><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:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the rate coefficient for <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:msup><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the rate of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> photolysis producing <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:msup><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>,
and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are the rate coefficients of quenching of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:msup><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> with <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, respectively <xref ref-type="bibr" rid="bib1.bibx37 bib1.bibx75 bib1.bibx40 bib1.bibx20" id="paren.58"/>. Accordingly, <inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(HO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>)
is affected by ozone changes principally in two different ways: Either
locally through a change in <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> or non-locally through a change in
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> caused by changes in the overhead total-column ozone (TCO). To
separate the effects, we conduct three simulations with the SCM: The first
simulation targets the local kinetics effect by applying changes in
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations but keeping all photolysis rates unchanged vs.
the reference simulation. A second simulation involves applying changes in
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> according to changes in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (keeping the rest of
photolysis rates unchanged), but considering a fixed <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentration, i.e. using the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations of the reference
simulation. The <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> calculation consistently takes into account
absorption and scattering by stratospheric and tropospheric <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. A
third simulation includes both effects simultaneously.</p>
      <p>The results of these three sensitivity runs are displayed in
Fig. <xref ref-type="fig" rid="Ch1.F3"/>. As expected, the pattern of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> differences between
observed <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and modelled <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F3"/>a) is reflected
in the pattern of OH differences produced by the SCM, considering only the
“kinetics” effect and assuming no changes in the photolysis rates
(Fig. <xref ref-type="fig" rid="Ch1.F3"/>b), with increases of ozone in spring and decreases in
autumn, relative to the reference simulation, resulting in changes of the
same sign in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>. However, there is a height dependence to this
relationship.</p>
      <p>In summer and autumn, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> biases range between <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>45</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>,
meaning that the reference simulation overestimates the observations. Such a
bias in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> results in up to <inline-formula><mml:math display="inline"><mml:mn>12</mml:mn></mml:math></inline-formula> % reductions in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> for
these seasons when the bias is corrected. In spring between 2 and 6 km,
observed <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is larger than in the reference simulation by up to
10 % at 4 km in October. Consequently, this results in an increase of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> at around the same altitudes and times of up to 5 %.</p>
      <p>Regarding the sensitivity simulation considering the photolysis effects,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> exhibits differences relative to the reference simulation
ranging from <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>14</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>30</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>. The corrections are positive
everywhere, in accordance with the overestimation of TCO in the NIWA–UKCA
model with respect to observations <xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx71" id="paren.59"/>. In
accordance with eq. <xref ref-type="disp-formula" rid="Ch1.E1"/>, such an intensification of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
causes <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> to increase (Fig. <xref ref-type="fig" rid="Ch1.F3"/>c). The relative <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>
response is approximately <inline-formula><mml:math display="inline"><mml:mrow><mml:mn>50</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> of the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> relative difference.
However, Fig. <xref ref-type="fig" rid="Ch1.F3"/>c and d suggest that the magnitudes of the
kinetics and the photolysis effects, for the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> bias found at Lauder,
are comparable, but the seasonalities differ. For example, the kinetics
effect maximizes in spring at 5 % and minimizes in summer/early autumn at
<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>15</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> (in the upper troposphere) whereas the photolysis effect on
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> maximizes in summer at 16 to 20 % and minimizes in spring
(Fig. <xref ref-type="fig" rid="Ch1.F3"/>b and d).</p>
      <p><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> resulting from the combined kinetics and photolysis effects is
displayed in Fig. <xref ref-type="fig" rid="Ch1.F3"/>e. OH responds approximately linearly to the two
effects combined, compared to the sum of their individual impacts
(Fig. <xref ref-type="fig" rid="Ch1.F3"/>f), despite some small differences between Fig. <xref ref-type="fig" rid="Ch1.F3"/>e
and f.</p>
      <p>Next, we examine the relationship between the slant column of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (SCO),
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>. Figure <xref ref-type="fig" rid="Ch1.F4"/>a shows that there is
an approximately exponential relationship between <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and the SCO
at 6 km of altitude (this effect also exists at other altitudes). The small
curvature may be the result of inaccurately diagnosing the SCO (ignoring the
curvature of the Earth). Another reason could be that the cross section of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is wavelength-dependent, and consequently the actinic flux
spectrum moves towards longer wavelengths with increasing SCO. Under
Lambert–Beer's Law, a perfectly exponential relationship would be expected
for a monochromatic UV light source and an isothermal atmosphere.
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> concentration exhibit an approximately
linear relationship (Eq. <xref ref-type="disp-formula" rid="Ch1.E1"/>, Fig. <xref ref-type="fig" rid="Ch1.F4"/>b). Combining
these results, we derive an approximately exponential relationship between
the SCO and the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> concentration (Fig. <xref ref-type="fig" rid="Ch1.F4"/>c). The fit
parameters are stated in Fig. <xref ref-type="fig" rid="Ch1.F4"/>. Due to the compact
relationship between <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and the SCO, and to account for the
curvature, we fit a quadratic relationship between the SCO and
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>log⁡</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p><bold>(a)</bold> Scatter plot of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> with the slant column of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (SCO) at 6 km of altitude. <bold>(b)</bold> Same, but for
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>. <bold>(c)</bold> Same, but for the SCO and
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>. The results shown in this figure are those obtained from the
combined simulation (kinetics and photolysis effects). Red lines denote
least-squares fits between the variable pairs. The best fits are stated in
the panels, with [<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>] in units of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mn>10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> mol cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> in units of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and the SCO in Dobson
Units.</p></caption>
          <?xmltex \igopts{width=142.26378pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14599/2016/acp-16-14599-2016-f04.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>Sensitivity coefficients <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>A</mml:mi><mml:mi>i</mml:mi><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> between OH and each perturbation
variable: In the calculation, multi-annual mean relative differences in
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> and in the forcing are ratioed. <bold>(a)</bold> Sensitivity of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> to changes in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> levels (kinetics effect) denoted by <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
(solid line) and to changes in <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> due to changes in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (photolysis effect) denoted by <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>A</mml:mi><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>
(dashed line); <bold>(b)</bold> sensitivity of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> to changes in radiosonde
– NIWA–UKCA CCM <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> solid line) and to changes in ERAI –
NIWA–UKCA <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dashed line); <bold>(c)</bold> sensitivity of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> to changes in <inline-formula><mml:math 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 display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>); <bold>(d)</bold> sensitivity of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> to changes in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>); <bold>(e)</bold> sensitivity of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> to changes in temperature (kinetics effect) denoted by <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>;
<bold>(f)</bold> sensitivity of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> to changes in
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> due to changes in
temperature (photolysis effect) denoted by <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>A</mml:mi><mml:mn mathvariant="normal">6</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14599/2016/acp-16-14599-2016-f05.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>Multi-annual and monthly-mean <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> responses to <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
between perturbation simulations and the reference simulation. <bold>(a)</bold>
Radiosonde – NIWA–UKCA <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (%) relative to the reference
simulation. <bold>(b)</bold> ERAI – NIWA–UKCA <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (%) relative to the
reference simulation. <bold>(c)</bold> <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> difference (%) relative to the
reference simulation between simulations using radiosonde and NIWA–UKCA
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(a)</bold>. <bold>(d)</bold> <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> differences (%) relative to
the reference simulation between simulations using ERAI and NIWA–UKCA CCM
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(b)</bold>. <bold>(e)</bold> Ratio of relative <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> changes
<bold>(c)</bold> to relative changes in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(a)</bold>. <bold>(f)</bold>
Ratio of relative <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> changes <bold>(d)</bold> to changes in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
<bold>(b)</bold>. Above 8 km NIWA–UKCA <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> was used in both cases.
Therefore, differences with respect to the reference simulation are close to
0.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14599/2016/acp-16-14599-2016-f06.pdf"/>

        </fig>

      <p>To determine a simple coefficient that describes the quantitative
contribution of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>, a linear regression between
differences in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> relative to the reference was
conducted through the following expression (note that this equation is also
used to derive the linear contributions of the other key species to OH
chemistry at Lauder):
            <disp-formula id="Ch1.E2" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:msub><mml:mo>]</mml:mo><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>X</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mtext>ref</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the perturbation variable (in this case <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
is the slope of the linear regression, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> is the absolute
difference between the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in the reference and
perturbation simulations, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>X</mml:mi></mml:mrow></mml:math></inline-formula> is the absolute difference in
concentrations of the perturbation variable <inline-formula><mml:math display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> between the observations and
the reference, <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:msub><mml:mo>]</mml:mo><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> concentration
obtained from the reference simulation, and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mtext>ref</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the value
of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the reference simulation. The regression coefficients <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
represent the sensitivity of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> to changes in each individual variable
for the troposphere at Lauder. The regression coefficients are depicted in
Fig. <xref ref-type="fig" rid="Ch1.F5"/>. Reverting to infinitesimal notation, we note that
            <disp-formula id="Ch1.E3" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:mi>ln⁡</mml:mi><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>ln⁡</mml:mi><mml:msub><mml:mi>X</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p>The sensitivity coefficients of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> to the kinetics and photolysis
effects of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are shown in Fig. <xref ref-type="fig" rid="Ch1.F5"/>a. Coefficient
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, which represent the kinetics effect, ranges from <inline-formula><mml:math display="inline"><mml:mn mathvariant="normal">0</mml:mn></mml:math></inline-formula> to <inline-formula><mml:math display="inline"><mml:mn>0.25</mml:mn></mml:math></inline-formula>
(meaning the relative response of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> is up to a quarter of the
relative difference in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). The sensitivity to photolysis (<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>A</mml:mi><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>)
is <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn>0.5</mml:mn></mml:mrow></mml:math></inline-formula> throughout much of the troposphere (meaning the relative response
in OH is over half the relative change in <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p>Multi-annual and monthly-mean <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> responses to <inline-formula><mml:math 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>
and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> biases between observations and the reference simulation.
<bold>(a)</bold> Difference in <inline-formula><mml:math 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> (%) relative to the reference
simulation. <bold>(b)</bold> Difference in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> (%) relative to the
reference simulation. <bold>(c)</bold> <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> difference (%) relative to the
reference simulation caused by the <inline-formula><mml:math 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> change <bold>(a)</bold>.
<bold>(d)</bold> <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> difference (%) relative to the reference simulation
caused by the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> change <bold>(b)</bold>. <bold>(d)</bold> Ratio of relative
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> changes <bold>(c)</bold> to relative changes in <inline-formula><mml:math 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>
<bold>(a)</bold>. <bold>(f)</bold> Ratio of relative <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> changes <bold>(d)</bold>
to relative changes in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(b)</bold>.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14599/2016/acp-16-14599-2016-f07.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <?xmltex \opttitle{{$\chem{OH}$} sensitivity to {$\chem{H_{2}O}$} biases}?><title><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> sensitivity to <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> biases</title>
      <p>A perturbation simulation was performed using combined radiosonde and
NIWA–UKCA <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (Sect. <xref ref-type="sec" rid="Ch1.S2.SS2"/>). The <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> response to
correcting <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> biases (Fig. <xref ref-type="fig" rid="Ch1.F6"/>) shows an approximately
linear response with respect to the relative changes in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, i.e.
decreases in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> generally lead to a reduction of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>
concentrations (Eq. <xref ref-type="disp-formula" rid="Ch1.E1"/>). Note that NIWA–UKCA substantially
overestimates the radiosonde-observed <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> vapour by up to 60 %
between 2 and 6 km (Fig. <xref ref-type="fig" rid="Ch1.F6"/>a); this translates into an
overestimation of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> by up to <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>40</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> in the reference
simulation (Fig. <xref ref-type="fig" rid="Ch1.F6"/>c) in the same region. The sensitivity of OH to
changes in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (Eq. <xref ref-type="disp-formula" rid="Ch1.E2"/>) range from 5 to <inline-formula><mml:math display="inline"><mml:mn>0.5</mml:mn></mml:math></inline-formula> in the
troposphere (Figs. <xref ref-type="fig" rid="Ch1.F6"/>e and <xref ref-type="fig" rid="Ch1.F5"/>b coefficient
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), with high sensitivity in the lower and free troposphere and reduced
sensitivity in the tropopause region.</p>
      <p>It is known that large uncertainties are associated with <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> vapour
measurements. To illustrate this, we repeat the above simulation but now
using European Centre for Medium-Range Weather Forecasts (ECMWF)
ERA-Interim reanalysis (hereafter ERAI) <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx12" id="paren.60"/>.
Irrespectively of the large differences and the opposite signs in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
biases between Lauder radiosonde and ERAI data, the OH response to biases in
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> shows approximately the same linear relationship in both cases
(Fig. <xref ref-type="fig" rid="Ch1.F6"/>). Likewise, the sensitivity of OH to changes in
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> using ERAI data (Figs. <xref ref-type="fig" rid="Ch1.F6"/>f and <xref ref-type="fig" rid="Ch1.F5"/>b,
coefficient <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) resembles the sensitivity simulation using radiosonde
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <?xmltex \opttitle{{$\chem{OH}$} sensitivity to {$\chem{CH_{4}}$} and {$\chem{CO}$} biases}?><title><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> sensitivity to <inline-formula><mml:math 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> and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> biases</title>
      <p>The effect of <inline-formula><mml:math 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> changes on <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> is displayed in
Fig. <xref ref-type="fig" rid="Ch1.F7"/>a, c, e. The <inline-formula><mml:math 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> biases are generally small, up
to only <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>, and are assumed to be vertically uniform, with some
seasonal variations. Decreases in <inline-formula><mml:math 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> lead to increases in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>
due to reduced loss of HO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> by <inline-formula><mml:math 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:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>. The response of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math 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> changes maximizes at 0.6 % around 2 km, and
decreases at higher altitudes. The seasonal variation of the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>
response to <inline-formula><mml:math 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> biases maximizes in March/April
(Fig. <xref ref-type="fig" rid="Ch1.F7"/>c), which coincides with the maximum absolute bias in
<inline-formula><mml:math 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> (Fig. <xref ref-type="fig" rid="Ch1.F7"/>a) in the same months. The sensitivity
coefficient describing the dependence of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> on <inline-formula><mml:math 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> changes
(denoted as <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in Fig. <xref ref-type="fig" rid="Ch1.F5"/>c) ranges from <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>0.17</mml:mn></mml:mrow></mml:math></inline-formula> at the
surface to <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>0.32</mml:mn></mml:mrow></mml:math></inline-formula> at <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2 km of altitude, and then decreases to
<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>0.15</mml:mn></mml:mrow></mml:math></inline-formula> at 10 km.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p>Multi-annual and monthly-mean <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> responses to temperature
biases between observations (radiosonde and NCEP/NCAR temperature) and the
reference simulation. <bold>(a)</bold> Difference in radiosonde and NCEP/NCAR
temperature (K) relative to the reference temperature. <bold>(b)</bold> <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>
difference (%) relative to the reference simulation accounting only for the
kinetics effects of temperature differences (e.g. with <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
unchanged). <bold>(c)</bold> Difference in <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (%) relative to the
reference simulation. <bold>(d)</bold> <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> difference (%) relative to the
reference simulation accounting only for <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> differences (i.e. with temperature unchanged). <bold>(e)</bold>
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> differences relative to the reference simulation considering the
combined kinetics and photolysis effects. <bold>(f)</bold> Sum of <bold>(b)</bold>
and <bold>(d)</bold>.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14599/2016/acp-16-14599-2016-f08.pdf"/>

        </fig>

      <p>The <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> bias and the resulting differences in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> are displayed
in Fig. <xref ref-type="fig" rid="Ch1.F7"/>b, d, f. The relative difference of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> with
respect to the reference simulation is less than <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> for all seasons
(Fig. <xref ref-type="fig" rid="Ch1.F7"/>d), showing that decreases in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> generally lead
to increases in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> through the reduced loss of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> through
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>. Note that during austral spring NIWA–UKCA overestimates
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>, presumably due to exaggerated tropical biomass burning in the
model which causes <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> biases of up to <inline-formula><mml:math display="inline"><mml:mrow><mml:mn>10</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>
(Fig. <xref ref-type="fig" rid="Ch1.F7"/>b). The sensitivity of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> to changes in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∂</mml:mo><mml:mi>ln⁡</mml:mi><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>ln⁡</mml:mi><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>) shown in
Fig. <xref ref-type="fig" rid="Ch1.F7"/>f varies from <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>0.3</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>0.5</mml:mn></mml:mrow></mml:math></inline-formula> and in absolute terms
increases with altitude (the white band shown in October is the result of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> differences being close to zero).</p>
      <p>The sensitivities of OH to <inline-formula><mml:math 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> and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> show comparable values
at the surface, but the OH sensitivity to CO increases with height whereas
its sensitivity to <inline-formula><mml:math 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> decreases. Note that the <inline-formula><mml:math 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:mspace width="0.125em" linebreak="nobreak"/><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>
reaction rate is strongly temperature-dependent, which may contribute to the
lower sensitivity of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math 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> changes at altitude than to
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>. However, further investigation will need to investigate how these
ratios change in different chemical regimes, and to assess whether the
relative sensitivity of OH to CO and to <inline-formula><mml:math 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> are specific to the clean
SH environment.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <?xmltex \opttitle{{$\chem{OH}$} sensitivity to temperature biases}?><title><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> sensitivity to temperature biases</title>
      <p>To assess the effects of changes in temperature on <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>, we apply the
same procedure as for <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, for which the effects of temperature have
been decomposed into kinetics and photolysis effects. We perform three
simulations: In the first simulation, we only apply temperature changes to
chemical kinetics, keeping all photolysis rates fixed (noting that most uni-,
bi-, and termolecular reaction rates are temperature-dependent). In the
second simulation, we only consider the photolysis effect, which arises
mainly because the cross section of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the primary UV absorber, is
temperature-dependent. The impact of temperature on <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> via ozone
photolysis again occurs via two different mechanisms: firstly, the changes in
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> caused by changes in the actinic flux which relates to changes
in the atmospheric transmissivity in the UV (caused by a temperature
dependence of the cross section of overhead ozone), and the local changes of
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, due to the local temperature dependence of the ozone cross
section. Here, we only evaluate the combined photolysis effect in the second
simulation. Finally, we perform a third simulation by applying both the
kinetics and the photolysis effects simultaneously.</p>
      <p>At Lauder, the reference simulation is generally cold-biased (i.e. the
temperature correction is positive; Fig. <xref ref-type="fig" rid="Ch1.F8"/>a). This is particularly
the case in the lowest 2 km and throughout the troposphere in the
autumn–winter season. The kinetics effect leads to a reduction of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>
by up to <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F8"/>b). <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:msup><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and the
quenching reactions (Eq. <xref ref-type="disp-formula" rid="Ch1.E1"/>) are not, or are weakly, temperature-dependent,
making <inline-formula><mml:math 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 display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> OH (which is much more sensitive to temperature) the
leading factor in causing this small <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> reduction. The rate
coefficient for this reaction in NIWA–UKCA and the SCM is
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>1.85</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn>12</mml:mn></mml:mrow></mml:msup><mml:mi>exp⁡</mml:mi><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn>1690</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mtext>K</mml:mtext><mml:mo>/</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>; at 290 K
the sensitivity of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>+</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> to temperature changes evaluates
to about 2 % K<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. However, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> is well buffered by other
reactions, so its sensitivity is considerably smaller than that. The
photolysis effect is often somewhat larger than the kinetics effect but peaks
in spring (Fig. <xref ref-type="fig" rid="Ch1.F8"/>c). This translates into a slight <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>
reduction comparable in magnitude to the kinetics effect (Fig. <xref ref-type="fig" rid="Ch1.F8"/>d).
Both effects add nearly linearly in the combined simulation
(Fig. <xref ref-type="fig" rid="Ch1.F8"/>e, f).</p>
      <p>We calculate sensitivity coefficients <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>A</mml:mi><mml:mn mathvariant="normal">6</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> that define the
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> responses to both effects (Fig. <xref ref-type="fig" rid="Ch1.F5"/>e, f).
Coefficient <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> represents the kinetics effect and varies from 0 to <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>1.75</mml:mn></mml:mrow></mml:math></inline-formula>
(i.e. in absolute terms, the relative <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> response can be larger than
the relative difference in <inline-formula><mml:math display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>). The sensitivity coefficient that describes
the sensitivity of OH to changes in photolysis (<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>A</mml:mi><mml:mn mathvariant="normal">6</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>) ranges from <inline-formula><mml:math display="inline"><mml:mn>0.6</mml:mn></mml:math></inline-formula> at
the surface to <inline-formula><mml:math display="inline"><mml:mn mathvariant="normal">0</mml:mn></mml:math></inline-formula> at 10 km of altitude. Figure <xref ref-type="fig" rid="Ch1.F5"/>e and f
show sensitivity coefficients for both effects (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>A</mml:mi><mml:mn mathvariant="normal">6</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>).
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> changes due to both effects are small (up to <inline-formula><mml:math display="inline"><mml:mrow><mml:mn>2.5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>) and
comparable in magnitude.</p>
      <p>Several sensitivity studies have been conducted previously to elucidate the
impact of temperature on <inline-formula><mml:math 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.bibx69 bib1.bibx80 bib1.bibx55" id="paren.61"/>. None of these studies separately assessed the impacts of the
kinetics and photolysis effects of temperature on <inline-formula><mml:math 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.bibx80" id="text.62"/>
applied a globally uniform temperature rise of <inline-formula><mml:math display="inline"><mml:mn mathvariant="normal">5</mml:mn></mml:math></inline-formula> K that led to a larger
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> abundance and an around <inline-formula><mml:math display="inline"><mml:mrow><mml:mn>10</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> decrease in the <inline-formula><mml:math 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>
lifetime. <xref ref-type="bibr" rid="bib1.bibx55" id="text.63"/> showed a small impact on global <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>
abundances due to temperature biases; this may be because either the
temperature biases in their model were both positive and negative, in
different regions, leading to some cancellation of the impact on global
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>, or to low <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> sensitivity to temperature biases. Here,
bias-correcting temperature is shown to also have only a small impact on
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> abundance (Fig. <xref ref-type="fig" rid="Ch1.F8"/>e); this result broadly corroborates that
of <xref ref-type="bibr" rid="bib1.bibx55" id="text.64"/>.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <?xmltex \opttitle{Linearity of {$\chem{OH}$} sensitivity to biases in all forcings}?><title>Linearity of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> sensitivity to biases in all forcings</title>
      <p>Here, we assess the effect of changing all forcings (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math 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 display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>, and temperature) simultaneously on <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> at Lauder.
Figure <xref ref-type="fig" rid="Ch1.F9"/>a shows the responses of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> to changing all forcings.
A comparison with Fig. <xref ref-type="fig" rid="Ch1.F6"/> suggests that <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> changes
dominate the total response of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> to changes in these forcings. At
Lauder, NIWA–UKCA is too moist (relative to radiosonde water vapour); this
translates into a large <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> overestimation of up to <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>40</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> in
the reference simulation (Fig. <xref ref-type="fig" rid="Ch1.F9"/>a). This is consistent with the
underestimated <inline-formula><mml:math 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> lifetime by the NIWA–UKCA model
<xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx73" id="paren.65"/>, assuming that the NIWA–UKCA model is also
too moist in other regions.  (In the NIWA–UKCA reference simulation used
here, the global <inline-formula><mml:math 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> lifetime, disregarding dry deposition, is 7.2
years, whereas a recent best estimate is 9.8 years, with an uncertainty range
of 7.6–14 years; <xref ref-type="bibr" rid="bib1.bibx66" id="altparen.66"/>.) In general, in the SCM <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>
responds approximately linearly to the combined changes in major forcings
that play an important role in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> chemistry (Fig. <xref ref-type="fig" rid="Ch1.F9"/>).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><caption><p><bold>(a)</bold> Multi-annual and monthly-mean percentage difference
in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> between a simulation with bias correction applied to all five
fields and the reference simulation. Radiosonde <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is assumed below
8 km. <bold>(b)</bold> Summation of all the single forcing contributions as
expressed by the right hand side of Eq. (<xref ref-type="disp-formula" rid="Ch1.E4"/>). Radiosonde
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is assumed below 8 km. <bold>(c)</bold> Scatter plot of the response
of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> to the combination of all forcings (vertical axis, denoted as
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>) vs. the summation of the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> response to
individual forcings (horizontal axis) as expressed by the right hand side of
Eq. (<xref ref-type="disp-formula" rid="Ch1.E4"/>) (denoted by <inline-formula><mml:math display="inline"><mml:mrow><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>i</mml:mi></mml:munder><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>[</mml:mo><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mi>i</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>). The
red solid line denotes an orthogonal fit. The black dashed line is the
diagonal.</p></caption>
          <?xmltex \igopts{width=184.942913pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14599/2016/acp-16-14599-2016-f09.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><caption><p>Variability and trends of the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> anomalies at different
altitudes: <bold>(a)</bold> 0–2.5, <bold>(b)</bold> 2.5–5, <bold>(c)</bold>
5–7.5, and <bold>(d)</bold> 7.5–10 km. The red solid line is the time
series of the reference simulation and the blue solid line is the combined
forcings simulation considering radiosonde – NIWA–UKCA <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14599/2016/acp-16-14599-2016-f10.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><caption><p>Variability and trend of the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> column anomaly. The red solid
line is the time series of the reference simulation and the blue solid line
is the combined forcings simulation considering radiosonde – NIWA–UKCA
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14599/2016/acp-16-14599-2016-f11.pdf"/>

        </fig>

      <p>To examine the linearity of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> responses to simultaneous changes in
key forcings defined in this study, the combination of all individual
contributions, i.e. <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (kinetics and photolysis effects),
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math 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 display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>, and temperature (kinetics and photolysis
effects) to <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>, was compared to the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> response to all forcings
combined simulation in the SCM through Eq. (<xref ref-type="disp-formula" rid="Ch1.E4"/>):

                <disp-formula specific-use="eqnarray" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>]</mml:mo></mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">ref</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>≈</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:msubsup><mml:mi>A</mml:mi><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msubsup><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>]</mml:mo></mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">ref</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:msubsup><mml:mi>A</mml:mi><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msubsup><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>j</mml:mi><mml:mrow><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">ref</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mo>[</mml:mo><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:mo>]</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mo>[</mml:mo><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:mo>]</mml:mo></mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">ref</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>]</mml:mo></mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">ref</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:mi mathvariant="normal">CO</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:mi mathvariant="normal">CO</mml:mi><mml:mo>]</mml:mo></mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">ref</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd/><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">ref</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:msubsup><mml:mi>A</mml:mi><mml:mn mathvariant="normal">6</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msubsup><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>j</mml:mi><mml:mrow><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">T</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">ref</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>]</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>/</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:msub><mml:mo>]</mml:mo><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the relative difference
in the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> concentration obtained with the SCM with respect to the
reference simulation, using all forcings combined. The forcings comprise the
kinetics and photolysis effects of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>A</mml:mi><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>), radiosonde
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math 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 display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), and the kinetics
and photolysis effects of temperature (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>A</mml:mi><mml:mn mathvariant="normal">6</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>).
Equation (<xref ref-type="disp-formula" rid="Ch1.E4"/>) expresses a working hypothesis that the model
responds linearly to the applied forcings; we will test this assumption in
the following paragraph.</p>
      <p>Figure <xref ref-type="fig" rid="Ch1.F9"/>a and b indicate that the model responds approximately
linearly to the combinations of all forcings, with <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> responses in the
all-forcings simulation correlating at 0.9 with the sum of the OH responses
in the individual-forcing simulations. Figure <xref ref-type="fig" rid="Ch1.F9"/>c however also
suggests that there is some notable non-linearity in the chemistry of the
troposphere at Lauder. Chemical feedbacks between the impacts of correcting
water vapour and ozone may contribute to this non-linearity; for example, a
change in the water vapour abundance may impact the sensitivity of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>
to changing <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><caption><p>Multi-annual and monthly-mean <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> responses to the presence
of clouds. Multi-annual and monthly mean <bold>(a)</bold> ice content
(10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> kg kg<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). <bold>(b)</bold> liquid water content
(10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> kg kg<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). <bold>(c)</bold> Response of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (%) to
the presence of ICs relative to the cloud-free reference simulation.
<bold>(d)</bold> response of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (%) to the presence of LWCs relative
to the cloud-free reference simulation. <bold>(e)</bold> response of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>
(%) to the presence of ICs relative to the cloud-free reference simulation.
<bold>(f)</bold> Response of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> (%) to the presence of LWCs relative to
the cloud-free reference simulation. <bold>(g)</bold> response of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> (%)
to the presence of both LWCs and ICs relative to the cloud-free reference
simulation. <bold>(h)</bold> Sum of <bold>(e)</bold> and <bold>(f)</bold>.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14599/2016/acp-16-14599-2016-f12.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS6">
  <?xmltex \opttitle{Trends in {$\chem{OH}$}}?><title>Trends in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula></title>
      <p>We examine variability and trends in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> using the SCM simulation
including all key forcings separately for different altitude bins. The
results (Fig. <xref ref-type="fig" rid="Ch1.F10"/>) indicate that there are no significant
long-term trends in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> throughout the troposphere for the period of
the simulation (1994–2010) We find trends of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>2.1</mml:mn><mml:mo>±</mml:mo><mml:mn>4.8</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> at
0–2.5 km, <inline-formula><mml:math display="inline"><mml:mrow><mml:mn>0.9</mml:mn><mml:mo>±</mml:mo><mml:mn>2.3</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> at 2.5–5 km, <inline-formula><mml:math display="inline"><mml:mrow><mml:mn>2.6</mml:mn><mml:mo>±</mml:mo><mml:mn>3.5</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> at 5–7.5 km, and
<inline-formula><mml:math display="inline"><mml:mrow><mml:mn>3.6</mml:mn><mml:mo>±</mml:mo><mml:mn>4.1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> at 7.5–10 km over the period of 1994–2010), but there is
evidence of interannual variations at all altitudes
<xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx46" id="paren.67"><named-content content-type="pre">e.g.</named-content></xref>.</p>
      <p>In addition, we explore variability and trends in the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> column at
Lauder to be compared with other estimates of global <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>. As expected
from the results of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> trends at different altitude bins, we find no
significant long-term trend in the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> column (<inline-formula><mml:math display="inline"><mml:mrow><mml:mn>0.5</mml:mn><mml:mo>±</mml:mo><mml:mn>1.3</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>)
(Fig. <xref ref-type="fig" rid="Ch1.F11"/>). However, there is evidence of short-term
variations (5–<inline-formula><mml:math display="inline"><mml:mrow><mml:mn>10</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>), in agreement with other studies that used
observations to infer global <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> concentrations
<xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx46" id="paren.68"><named-content content-type="pre">e.g.</named-content></xref>.</p>
</sec>
<sec id="Ch1.S3.SS7">
  <?xmltex \opttitle{{$\chem{OH}$} sensitivity to the presence of clouds}?><title><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> sensitivity to the presence of clouds</title>
      <p>We have assessed the OH sensitivity to correcting biases in key forcings
assuming clear skies. Here we explore the impact of simulated clouds on
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>, recognizing that this process is associated with large
uncertainties due to difficulties with representing clouds in models.
Measurements of cloud profiles do not exist at Lauder, hence a bias
correction like that performed with the composition and temperature fields is
not possible. Therefore, here we only examine the impact of clouds simulated
by NIWA–UKCA on <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> at Lauder, relative to the
clear-sky reference simulation used before. The impacts of liquid water
clouds (LWCs) and ice clouds (ICs) were assessed separately and in
combination. Three simulations are defined here, i.e. (1) including only
ICs, (2) including only LWCs, and (3) considering both combined (LICs).</p>
      <p>Figure <xref ref-type="fig" rid="Ch1.F12"/>a, c and e show the response of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>
to the presence of the ICs. <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and OH are generally reduced below
the ICs, relative to the cloud-free situation. The maximum reduction in OH is
<inline-formula><mml:math display="inline"><mml:mn>10</mml:mn></mml:math></inline-formula> to <inline-formula><mml:math display="inline"><mml:mrow><mml:mn>15</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> in winter below 2 km, coinciding with the maximum reduction
in <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>. There are increases in both fields (up to <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">8</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>)
above the ICs in austral spring, associated with the seasonal peak in IC
occurrence at the same time. In general, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> impacts
vary strongly with season, with the maximum reduction occurring in winter
close to the surface, and the maximum increase in spring above the ICs.</p>
      <p>LWCs are mostly present between 1 and 4 km with the seasonal peak in austral
spring (Fig. <xref ref-type="fig" rid="Ch1.F12"/>b). Similarly to ICs, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>
are enhanced above and throughout much of the cloud layer, and reduced in the
lowest 1 km above the surface (Fig. <xref ref-type="fig" rid="Ch1.F12"/>e, g). The enhancement in
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> peaks at <inline-formula><mml:math display="inline"><mml:mrow><mml:mn>12</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> between 2 and 4 km of
altitude, coinciding with the spring maximum in liquid water content at
1–2 km. Conversely, the reduction in <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> with
respect to the clear-sky condition is <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>10</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> and is produced below
the clouds.</p>
      <p>The simulation with the combined effect of ICs and LWCs (LICs) produces a
reduction in <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> that ranges between <inline-formula><mml:math display="inline"><mml:mn mathvariant="normal">0</mml:mn></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mrow><mml:mn>20</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> below the transition of ICs to LWCs at around 2 km, since LWCs are
as much as twice as optically dense as ICs (Fig. <xref ref-type="fig" rid="Ch1.F12"/>g). An
enhancement is produced above this altitude of up to <inline-formula><mml:math display="inline"><mml:mrow><mml:mn>18</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>. The magnitudes
of changes in <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> are similar when either ICs or
LWCs are considered in the SCM. Furthermore, their effects add up slightly
less than linearly when both are present in the simulations
(Fig. <xref ref-type="fig" rid="Ch1.F12"/>h).</p>
      <p>The results shown here indicate that lower clouds generally produce an
enhancement in <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F12"/>d), but higher clouds
generally produce a reduction in <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> in the free troposphere
<xref ref-type="bibr" rid="bib1.bibx72 bib1.bibx76 bib1.bibx36" id="paren.69"><named-content content-type="pre">Fig. <xref ref-type="fig" rid="Ch1.F12"/>b;</named-content></xref>. Furthermore, the
vertically and seasonally averaged enhancement and reduction in
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> are about <inline-formula><mml:math display="inline"><mml:mn mathvariant="normal">2</mml:mn></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">6</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> respectively for the LWCs,
similar to the response for the ICs' condition; this suggests that the cloud
vertical distribution has a bigger effect on photolysis than the change in
cloud water content <xref ref-type="bibr" rid="bib1.bibx76" id="paren.70"/>.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Conclusions</title>
      <p>The sensitivity of the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> abundance at Lauder to NIWA–UKCA model
biases in key forcing variables (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math 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>, CO,
and temperature) have been quantified for clear-sky conditions, using a
single-column model. Only fast photochemistry is represented in the
SCM; slow chemistry (i.e. timescales similar to or longer than the 1 h
chemical timestep), transport, and other physical processes are thus not
considered. The bias-corrected profiles of the key forcing variables have
been constructed largely using long-term Lauder measurements, combined with
NIWA–UKCA output. A few other sources of data (Cape Grim methane
measurements, ERA-Interim water vapour) have also been used.</p>
      <p>The results show that <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> responds approximately linearly to correcting
biases in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math 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 display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>, and temperature.
We have decomposed the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> response to <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> changes into the
kinetic effect (i.e. local impacts on the chemical steady state of changing
<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>) and the photolysis effect (as mediated by changes in the
overhead <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column affecting photolysis rates). We find that the
kinetic effect of correcting positive biases in modelled <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> causes a
reduction in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> during austral summer and autumn (by up to <inline-formula><mml:math display="inline"><mml:mrow><mml:mn>20</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> at
7 km), and an increase in the free troposphere in austral spring (of
<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> in October at 3 km); such changes in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> are nearly linearly
related to the corresponding ozone biases. NIWA–UKCA generally overestimates
the ozone column. Correcting this bias causes <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> to increase by
15–<inline-formula><mml:math display="inline"><mml:mrow><mml:mn>30</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> below 10 km, causing general <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> increases which maximize
at around 16 % between 2 and 6 km in summer. The model responds
approximately linearly to the combined effects of photolysis and kinetics.</p>
      <p>NIWA–UKCA considerably overestimates the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> vapour concentration by
up to <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 50 % compared to radiosonde measurements. Correcting this moist
bias leads to <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn>34</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> reductions in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> in the free troposphere during
the austral summer. The sensitivity coefficient of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> to biases in
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> vapour is relatively large in the lower troposphere but decreases
with altitude. Assuming this moist bias is not restricted to Lauder (which we
do not assess here), this is thus a leading explanation for NIWA–UKCA to
produce an underestimated <inline-formula><mml:math 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> lifetime <xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx73" id="paren.71"/>, relative to literature estimates <xref ref-type="bibr" rid="bib1.bibx51 bib1.bibx78 bib1.bibx66" id="paren.72"/>.</p>
      <p>The bias in modelled <inline-formula><mml:math 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> is small since surface <inline-formula><mml:math 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> in the
SCM reference simulation is constrained to follow globally averaged surface
observations. The Southern Hemisphere generally has a slightly smaller
<inline-formula><mml:math 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> burden than the Northern Hemisphere. Correcting the resulting positive bias at
Lauder causes increases in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> throughout the troposphere, with a
seasonal peak in March/April. <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> is most sensitive to <inline-formula><mml:math 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>
changes in winter, though. In the analysis of the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> sensitivity to
<inline-formula><mml:math 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>, the impact of subsequent changes in <inline-formula><mml:math 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> oxidation
products which also affect <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> could not be addressed within the
constraints of an SCM. Inclusion of this effect could change the sensitivity
coefficient for <inline-formula><mml:math 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> <xref ref-type="bibr" rid="bib1.bibx67" id="paren.73"/>.</p>
      <p>Except for October–December, NIWA–UKCA has a tendency to underestimate
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>. As with <inline-formula><mml:math 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>, the sensitivity of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> to changes in
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> is negative throughout the troposphere, reflecting that CO <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> OH is an important sink for <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p>We show that <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> responds linearly to temperature biases. These effects
cause a reduction in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> due to the strong dependence of OH <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math 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> on temperature (Eq. <xref ref-type="disp-formula" rid="Ch1.E1"/>). However, the impact of this reaction
on <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> is buffered by other less temperature-dependent reactions,
causing only a small sensitivity of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> to temperature. This is in
agreement with <xref ref-type="bibr" rid="bib1.bibx55" id="text.74"/>.</p>
      <p>The results of the simulation considering simultaneous changes in all the key
forcings indicate that <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> responds approximately linearly to all the
major forcings that contribute to the oxidizing capacity of the atmosphere.
We find that biases in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math 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>, CO, and
temperature all affect the oxidizing capacity of the atmosphere at Lauder,
with <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> biases dominating. We find no significant
trend in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> over Lauder over the period 1994–2010.</p>
      <p>The SCM approach can be applied to other parts of the globe where reliable
long-term observations of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> exist. In situ
observations of <inline-formula><mml:math 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> and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> are not that critical; <inline-formula><mml:math 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>
can be estimated from non-local measurements, and relatively reliable
satellite measurements of total-column <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> exist
<xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx48" id="paren.75"><named-content content-type="pre">e.g.</named-content></xref>. However, in polluted regions, such
as in much of the Northern Hemisphere, NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and NMVOC levels are
elevated relative to Lauder and affect in situ ozone production. This means
that these constituents might need to be bias-corrected if the SCM is applied
in such regions. This might affect the suitability of our approach under
these conditions.</p>
      <p>Having determined the contributions of the major forcings to the chemistry of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> at Lauder under clear-sky conditions, a step forward would be to
assess the impact of clouds on photolysis and thus <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>, which could be
substantial. Due to a lack of suitable observations to constrain the SCM
model with cloud profiles at Lauder, we only assessed how the presence of
modelled cloud affects OH, relative to the clear-sky situation. The results
show that OH response to cloud strongly depends on the vertical distribution
of the clouds, not just the total amount. Both liquid and ice clouds lead to
increases in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> above and to some extent inside the cloud,
particularly in the spring season when this effect maximizes. Considering
that clouds are amongst the most difficult aspects of the climate system to
model adequately, we stipulate that observational profiles of cloud
properties would be highly desirable to use for a future continuation of this
line of research.</p>
      <p>In summary, we conclude that at Lauder, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> modelled in NIWA–UKCA is
most sensitive to issues with representing water vapour and ozone. This
points to the need to improve representations of the hydrological cycle and
of tropospheric and stratospheric ozone chemistry in NIWA–UKCA and possibly
other, similar chemistry–climate models. Water vapour is coupled to clouds in
NIWA–UKCA; it is well known that clouds are difficult to represent adequately
in global low-resolution climate models. The biases in ozone may well be
partly caused by the moist bias in NIWA–UKCA; this is a subject of ongoing
research.</p>
      <p>Progress with the simulation of the hydrological cycle in present-generation
Earth system models should improve the simulated water vapour product.
Simulating an accurate hydrological cycle has been a long-standing issue in
climate models, and progress has been slow. If errors in the simulation of
moisture cannot be avoided, perhaps their impact on <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> can be
corrected for using an approach similar to that which we have presented but
using global water vapour measurements. Such a “correction” of modelled
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> might result in a reduction in the inter-model spread of the
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> abundance and consequently a more accurate quantification of the
methane lifetime. For this, tropical radiosonde data would be particularly
valuable – most <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> is located in the tropics <xref ref-type="bibr" rid="bib1.bibx66" id="paren.76"/>. A
similar approach could be used to account for the influence of errors in
ozone, although tropospheric in situ ozone measurements may be too sparse to
allow for a sufficient characterization of the error in models.</p>
</sec>
<sec id="Ch1.S5">
  <title>Data availability</title>
      <p>All data used in this work (both model forcing data and model output), as
well as the single-column model itself, can be obtained from the contact
author upon request. Forcing data have been obtained from NDACC and other
public archives (see main text for details). The NIWA-UKCA simulation data
have been submitted to the Centre for Environmental Data Analysis (CEDA) for
public access. Instructions for downloading this data are at
<uri>http://blogs.reading.ac.uk/ccmi/badc-data-access/</uri>.</p>
</sec>

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

      <p>Olaf Morgenstern devised the original idea. Laura López-Comí wrote the model, conducted the simulations, performed the data
analysis, and led the writing of the paper, with support from Sarah Masters,
Olaf Morgenstern, and Guang Zeng. Gerald Nedoluha contributed the microwave
ozone data to the research; Richard Querel contributed the ozone sonde
data. All authors contributed to the writing of the manuscript.</p>
  </notes><ack><title>Acknowledgements</title><p>This
work has been supported by NIWA as part of its Government-funded, core
research. We would like to thank the Lauder team for providing most of the
measurements used here. We particularly thank Dan Smale for his help with
various aspects of this work. We acknowledge NOAA for the FPH data. We
acknowledge ECMWF for provision of the ERA-Interim data and NOAA/OAR/ESRL
PSD, Boulder, Colorado, USA, for provision of the NCEP/NCAR reanalyses. We
acknowledge CSIRO Marine and Atmospheric Research and the Australian Bureau
of Meteorology for the Cape Grim methane measurements. CSIRO and the
Australian Bureau of Meteorology give no warranty regarding the accuracy,
completeness, currency or suitability for any particular purpose, and accept
no liability, in respect of data. We acknowledge the U.K. Met Office for use
of the MetUM. Furthermore, we acknowledge the contribution of NeSI
high-performance computing facilities to the results of this research. NZ's
national facilities are provided by the NZ eScience Infrastructure and funded
jointly by NeSI's collaborator institutions and through MBIE's Infrastructure
programme (<uri>https://www.nesi.org.nz</uri>). <?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: W. Bloss<?xmltex \hack{\newline}?> Reviewed by: two anonymous referees</p></ack><ref-list>
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    <!--<article-title-html>Assessing the sensitivity of the hydroxyl radical to model biases in composition and temperature using a single-column photochemical model for Lauder, New Zealand</article-title-html>
<abstract-html><p class="p">We assess the major factors contributing to local biases in the
hydroxyl radical (OH) as simulated by a global chemistry–climate model, using
a single-column photochemical model (SCM) analysis. The SCM has been
constructed to represent atmospheric chemistry at Lauder, New Zealand, which
is representative of the background atmosphere of the Southern Hemisphere
(SH) mid-latitudes. We use long-term observations of variables essential to
tropospheric OH chemistry, i.e. ozone (O<sub>3</sub>), water vapour
(H<sub>2</sub>O), methane (CH<sub>4</sub>), carbon monoxide (CO), and
temperature, and assess how using these measurements affect OH
calculated in the SCM, relative to a reference simulation only using modelled
fields. The analysis spans 1994 to 2010. Results show that OH responds
approximately linearly to correcting biases in O<sub>3</sub>, H<sub>2</sub>O, CO, CH<sub>4</sub>,
and temperature. The biggest impact on OH is due to correcting an
overestimation by approximately 20 to 60 % of H<sub>2</sub>O, using
radiosonde observations. Correcting this moist bias leads to a reduction of
OH by around 5 to 35 %. This is followed by correcting predominantly
overestimated O<sub>3</sub>. In the troposphere, the model biases are mostly
in the range of −10 to 30<mspace linebreak="nobreak" width="0.125em"/><i>%</i>. The impact of changing O<sub>3</sub> on
OH is due to two pathways; the OH responses to both are of
similar magnitude but different seasonality: correcting in situ tropospheric
ozone leads to changes in OH in the range −14 to 4<mspace width="0.125em" linebreak="nobreak"/><i>%</i>, whereas
correcting the photolysis rate of O<sub>3</sub> in accordance with overhead
column ozone changes leads to increases of OH of 8 to 16<mspace linebreak="nobreak" width="0.125em"/><i>%</i>. The
OH sensitivities to correcting CH<sub>4</sub>, CO, and
temperature biases are all minor effects. The work demonstrates the
feasibility of quantitatively assessing OH sensitivity to biases in
longer-lived species, which can help explain differences in simulated OH
between global chemistry models and relative to observations. In addition to
clear-sky simulations, we have performed idealized sensitivity simulations to
assess the impact of clouds (ice and liquid) on OH. The results
indicate that the impacts on the ozone photolysis rate and OH are
substantial, with a general decrease of OH below the clouds of up to 30 %
relative to the clear-skies situation, and an increase of up to 15 % above.
Using the SCM simulation we calculate recent OH trends at Lauder. For the
period of 1994 to 2010, all trends are insignificant, in agreement with
previous studies. For example, the trend in total-column OH is
0.5 ± 1.3<mspace width="0.125em" linebreak="nobreak"/><i>%</i> over this period.</p></abstract-html>
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