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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-16-7943-2016</article-id><title-group><article-title>Role of OH variability in the stalling of the global atmospheric CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
growth rate from 1999 to 2006</article-title>
      </title-group><?xmltex \runningtitle{Role of OH variability in the stalling of the global atmospheric CH${}_{{4}}$
growth rate}?><?xmltex \runningauthor{J.~McNorton et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>McNorton</surname><given-names>Joe</given-names></name>
          <email>eejrm@leeds.ac.uk</email>
        <ext-link>https://orcid.org/0000-0003-0783-0448</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Chipperfield</surname><given-names>Martyn P.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6803-4149</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Gloor</surname><given-names>Manuel</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Wilson</surname><given-names>Chris</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff4">
          <name><surname>Feng</surname><given-names>Wuhu</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Hayman</surname><given-names>Garry D.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3825-4156</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Rigby</surname><given-names>Matt</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2020-9253</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Krummel</surname><given-names>Paul B.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4884-3678</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>O'Doherty</surname><given-names>Simon</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4051-6760</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Prinn</surname><given-names>Ronald G.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <name><surname>Weiss</surname><given-names>Ray F.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9551-7739</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Young</surname><given-names>Dickon</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6723-3138</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10">
          <name><surname>Dlugokencky</surname><given-names>Ed</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10">
          <name><surname>Montzka</surname><given-names>Steve A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9396-0400</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>School of Earth and Environment, University of Leeds, Leeds, LS2 9JT, UK</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>National Centre for Earth Observation, University of Leeds,  Leeds, LS2 9JT, UK</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>School of Geography, University of Leeds, Leeds, LS2 9JT, UK</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>National Centre for Atmospheric Science, University of Leeds, Leeds, LS2 9JT,
UK</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Centre for Ecology and Hydrology, Wallingford, UK</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>School of Chemistry, University of Bristol, Bristol, BS8 1TS, UK</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>CSIRO Oceans and Atmosphere Flagship, Aspendale, Victoria, Australia</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Center for Global Change Science, Massachusetts Instititute of
Technology, Cambridge, MA 02139, USA</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>Scripps Institution of Oceanography, University of California, San
Diego, CA 92093, USA</institution>
        </aff>
        <aff id="aff10"><label>10</label><institution>National Oceanic and Atmospheric Administration, Boulder, CO, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Joe McNorton (eejrm@leeds.ac.uk)</corresp></author-notes><pub-date><day>30</day><month>June</month><year>2016</year></pub-date>
      
      <volume>16</volume>
      <issue>12</issue>
      <fpage>7943</fpage><lpage>7956</lpage>
      <history>
        <date date-type="received"><day>17</day><month>December</month><year>2015</year></date>
           <date date-type="rev-request"><day>18</day><month>January</month><year>2016</year></date>
           <date date-type="rev-recd"><day>9</day><month>June</month><year>2016</year></date>
           <date date-type="accepted"><day>10</day><month>June</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/16/7943/2016/acp-16-7943-2016.html">This article is available from https://acp.copernicus.org/articles/16/7943/2016/acp-16-7943-2016.html</self-uri>
<self-uri xlink:href="https://acp.copernicus.org/articles/16/7943/2016/acp-16-7943-2016.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/16/7943/2016/acp-16-7943-2016.pdf</self-uri>


      <abstract>
    <p>The growth in atmospheric methane (CH<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> concentrations over the past
2 decades has shown large variability on a timescale of several years.
Prior to 1999 the globally averaged CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> concentration was increasing at
a rate of 6.0 ppb yr<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>, but during a stagnation period from 1999 to 2006 this
growth rate slowed to 0.6 ppb yr<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>. From 2007 to 2009 the growth rate again
increased to 4.9 ppb yr<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>. These changes in growth rate are usually ascribed
to variations in CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> emissions. We have used a 3-D global chemical
transport model, driven by meteorological reanalyses and variations in
global mean hydroxyl (OH) concentrations derived from CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
observations from two independent networks, to investigate these CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
growth variations. The model shows that between 1999 and 2006 changes in
the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> atmospheric loss contributed significantly to the suppression
in global CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> concentrations relative to the pre-1999 trend. The
largest factor in this is relatively small variations in global mean OH on a
timescale of a few years, with minor contributions of atmospheric transport
of CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> to its sink region and of atmospheric temperature. Although
changes in emissions may be important during the stagnation period, these
results imply a smaller variation is required to explain the observed
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> trends. The contribution of OH variations to the renewed CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
growth after 2007 cannot be determined with data currently available.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>The global mean atmospheric methane (CH<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> concentration has increased
by a factor of 2.5 since the pre-industrial era, from approximately 722 ppb
in 1750 to 1803.2 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7 ppb in 2011 (Etheridge et al., 1998;
Dlugokencky et al., 2005). Over this time period methane has accounted for
approximately 20 % of the total direct anthropogenic perturbation of
radiative forcing by long-lived greenhouse gases (0.48 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.05 W m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>,
the second-largest contribution after CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Cicerone and Oremland,
1988; Myhre et al., 2013). This long-term methane increase has been
attributed to a rise in anthropogenic emissions from fossil fuel
exploitation, agriculture, waste management, and biomass burning (Dlugokencky
et al., 2011). Predictions of future CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> levels require a complete
understanding of processes governing emissions and atmospheric removal.</p>
      <p>Since the mid-1980s measurements of CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> in discrete atmospheric air
samples collected at surface sites have been used to observe changes in the
interannual growth rate of CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> (Rigby et al., 2008; Dlugokencky et al.,
2011; Kirschke et al., 2013). Nisbet et al. (2014) showed that between 1984
and 1992 atmospheric CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> increased at <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 12 ppb yr<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>, after
which the growth rate slowed to <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 3 ppb yr<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>. In 1999 a period
of near-zero growth began which continued until 2007. In 2007 this
stagnation period ended, and up until 2009 average growth increased again to
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 4.9 ppb yr<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> (Rigby et al., 2008; Dlugokencky et al., 2011).</p>
      <p>The reasons for the pause in CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth are not well understood.
Bousquet et al. (2006) performed an atmospheric transport inversion study to
infer an increase in anthropogenic emissions since 1999. Similarly, the
Emissions Database for Global Atmospheric Research
(EDGAR) v3.2 bottom-up anthropogenic emission inventory, an updated inventory
to that used as an a priori by Bousquet et al. (2006), shows a year-on-year
increase in anthropogenic CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> emissions between 1999 and 2006 (Olivier
et al., 2005). This would suggest that a decrease in anthropogenic emissions
is not the likely cause of the pause in growth during this period. A second
potential explanation is a reduction in wetland emissions between 1999 and
2006, which is in part compensated by an increase in anthropogenic emissions
(Bousquet et al., 2006). However, more recently, Pison et al. (2013) used
two atmospheric inversions alongside a process-based model and found much
more uncertainty in the role wetlands played in the pause in growth over
this period. Their study found a negative trend in Amazon Basin emissions
between 2000 and 2006 from the process-based model and a positive trend from
the inversion estimates.</p>
      <p>Dlugokencky et al. (2003) argued that the behaviour of global mean CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
up to around 2002 was characteristic of the system approaching steady state,
accelerated by decreasing emissions at high northern latitudes in the early
1990s and fairly constant emissions elsewhere. However, since then there
have been notable perturbations to the balance of sources and sinks (Rigby
et al., 2008). The observed growth since 2007 has been, at least partly,
attributed to increases in wetland (Bousquet et al., 2011) and anthropogenic
emissions (Bousquet et al., 2011). Recent changes in emissions are not well
constrained, and the reasons for the renewed growth are also not fully
understood (Nisbet et al., 2014).</p>
      <p>Atmospheric chemistry has also been hypothesised to play a role in past
variations in CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth rates. The major (90 %) sink of atmospheric
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> is via reaction with the hydroxyl radical, OH. Variations in the
global mean concentration of OH ([OH]), or changes to the reaction rate
through changes in temperature, therefore have the potential to affect
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth. Previous studies have suggested that an increase in
atmospheric OH concentration may have been at least partly responsible for a
decrease in the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth rate (Karlsdottir and Isaksen, 2000;
Lelieveld et al., 2004; Wang et al., 2004; Fiore et al., 2006). This rise in
OH has been attributed to an increase in lightning NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (Fiore et al.,
2006), a decrease in column O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (Wang et al., 2004), and changes in
atmospheric pollutants (Karlsdottir and Isaksen, 2000). The abundance
of other species such as H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> also determines the
concentration of OH (Leliveld et al., 2004). Prinn et al. (2005) and
Voulgarakis et al. (2015) suggested that major global wildfires and El
Niño–Southern Oscillation (ENSO) events could influence [OH] variability.</p>
      <p>Warwick et al. (2002) investigated the impact of meteorology on atmospheric
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth rates from 1980 to 1998, i.e. well before the observed
recent pause. They concluded that atmospheric conditions could be an
important driver in the interannual variability (IAV) of atmospheric
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>. In similar studies a combination of atmospheric dynamics and
changes in emissions were shown to explain some of the earlier past trends
in atmospheric CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> (Fiore et al., 2006; Patra et al., 2009). This paper
builds on these studies to investigate the chemical and non-chemical
atmospheric contribution to the recent variations in CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth. By
“non-chemical” we mean transport-related influences, although the loss of
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> is ultimately due to chemistry as well. We use a 3-D global
chemical transport model (CTM) to simulate the period from 1993 to 2011 and to
quantify the impact of variations in [OH] and meteorology on atmospheric
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth.</p>
</sec>
<sec id="Ch1.S2">
  <title>Data and models</title>
<sec id="Ch1.S2.SS1">
  <?xmltex \opttitle{NOAA and AGAGE CH${}_{{4}}$ data and derived OH}?><title>NOAA and AGAGE CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> data and derived OH</title>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>List of NOAA and AGAGE stations which provided CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> observations.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.85}[.85]?><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Site code</oasis:entry>  
         <oasis:entry colname="col2">Site name</oasis:entry>  
         <oasis:entry colname="col3">Lat. <?xmltex \hack{\hfill\break}?>(<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N)</oasis:entry>  
         <oasis:entry colname="col4">Lon. (<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N)</oasis:entry>  
         <oasis:entry colname="col5">Altitude (km)</oasis:entry>  
         <oasis:entry colname="col6">CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">Start date<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">End date</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">ABP</oasis:entry>  
         <oasis:entry colname="col2">Arembepe, Brazil</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12.77</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>38.17</oasis:entry>  
         <oasis:entry colname="col5">0</oasis:entry>  
         <oasis:entry colname="col6">NOAA</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">27 Oct 2006</oasis:entry>  
         <oasis:entry colname="col9">12 Jan 2010</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">ALT</oasis:entry>  
         <oasis:entry colname="col2">Alert, Canada</oasis:entry>  
         <oasis:entry colname="col3">82.45</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>62.51</oasis:entry>  
         <oasis:entry colname="col5">0.2</oasis:entry>  
         <oasis:entry colname="col6">NOAA</oasis:entry>  
         <oasis:entry colname="col7">NOAA</oasis:entry>  
         <oasis:entry colname="col8">10 Jun 1985</oasis:entry>  
         <oasis:entry colname="col9">Ongoing</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">ASC</oasis:entry>  
         <oasis:entry colname="col2">Ascension Island, UK</oasis:entry>  
         <oasis:entry colname="col3">7.97</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.4</oasis:entry>  
         <oasis:entry colname="col5">0.09</oasis:entry>  
         <oasis:entry colname="col6">NOAA</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">11 May 1983</oasis:entry>  
         <oasis:entry colname="col9">Ongoing</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">BRW</oasis:entry>  
         <oasis:entry colname="col2">Barrow, USA</oasis:entry>  
         <oasis:entry colname="col3">71.32</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>156.61</oasis:entry>  
         <oasis:entry colname="col5">0.01</oasis:entry>  
         <oasis:entry colname="col6">NOAA</oasis:entry>  
         <oasis:entry colname="col7">NOAA</oasis:entry>  
         <oasis:entry colname="col8">6 Apr 1983</oasis:entry>  
         <oasis:entry colname="col9">Ongoing</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">CGO</oasis:entry>  
         <oasis:entry colname="col2">Cape Grim, Australia</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>40.68</oasis:entry>  
         <oasis:entry colname="col4">144.69</oasis:entry>  
         <oasis:entry colname="col5">0.09</oasis:entry>  
         <oasis:entry colname="col6">NOAA/AGAGE</oasis:entry>  
         <oasis:entry colname="col7">NOAA/AGAGE</oasis:entry>  
         <oasis:entry colname="col8">19 Apr 1984</oasis:entry>  
         <oasis:entry colname="col9">Ongoing</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">HBA</oasis:entry>  
         <oasis:entry colname="col2">Halley Station, UK</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>75.61</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>26.21</oasis:entry>  
         <oasis:entry colname="col5">0.03</oasis:entry>  
         <oasis:entry colname="col6">NOAA</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">17 Jan 1983</oasis:entry>  
         <oasis:entry colname="col9">Ongoing</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">ICE</oasis:entry>  
         <oasis:entry colname="col2">Storhofdi, Iceland</oasis:entry>  
         <oasis:entry colname="col3">63.4</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.29</oasis:entry>  
         <oasis:entry colname="col5">0.12</oasis:entry>  
         <oasis:entry colname="col6">NOAA</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">2 Oct 1992</oasis:entry>  
         <oasis:entry colname="col9">Ongoing</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">KUM</oasis:entry>  
         <oasis:entry colname="col2">Cape Kumukahi, USA</oasis:entry>  
         <oasis:entry colname="col3">19.5</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>154.8</oasis:entry>  
         <oasis:entry colname="col5">0.02</oasis:entry>  
         <oasis:entry colname="col6">–</oasis:entry>  
         <oasis:entry colname="col7">NOAA</oasis:entry>  
         <oasis:entry colname="col8">–</oasis:entry>  
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">LEF</oasis:entry>  
         <oasis:entry colname="col2">Park Falls, USA</oasis:entry>  
         <oasis:entry colname="col3">45.9</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>90.3</oasis:entry>  
         <oasis:entry colname="col5">0.47</oasis:entry>  
         <oasis:entry colname="col6">–</oasis:entry>  
         <oasis:entry colname="col7">NOAA</oasis:entry>  
         <oasis:entry colname="col8">–</oasis:entry>  
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">MHD</oasis:entry>  
         <oasis:entry colname="col2">Mace Head, Ireland</oasis:entry>  
         <oasis:entry colname="col3">53.33</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.9</oasis:entry>  
         <oasis:entry colname="col5">0.01</oasis:entry>  
         <oasis:entry colname="col6">NOAA/AGAGE</oasis:entry>  
         <oasis:entry colname="col7">AGAGE<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">3 Jun 1991</oasis:entry>  
         <oasis:entry colname="col9">Ongoing</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">MLO</oasis:entry>  
         <oasis:entry colname="col2">Mauna Loa, USA</oasis:entry>  
         <oasis:entry colname="col3">19.54</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>155.58</oasis:entry>  
         <oasis:entry colname="col5">3.4</oasis:entry>  
         <oasis:entry colname="col6">NOAA</oasis:entry>  
         <oasis:entry colname="col7">NOAA</oasis:entry>  
         <oasis:entry colname="col8">6 May 1983</oasis:entry>  
         <oasis:entry colname="col9">Ongoing</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NWR</oasis:entry>  
         <oasis:entry colname="col2">Niwot Ridge, USA</oasis:entry>  
         <oasis:entry colname="col3">40.05</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>105.59</oasis:entry>  
         <oasis:entry colname="col5">3.52</oasis:entry>  
         <oasis:entry colname="col6">NOAA</oasis:entry>  
         <oasis:entry colname="col7">NOAA</oasis:entry>  
         <oasis:entry colname="col8">21 Jun 1983</oasis:entry>  
         <oasis:entry colname="col9">Ongoing</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">PAL</oasis:entry>  
         <oasis:entry colname="col2">Pallas-Sammaltunturi, Finland</oasis:entry>  
         <oasis:entry colname="col3">67.97</oasis:entry>  
         <oasis:entry colname="col4">24.12</oasis:entry>  
         <oasis:entry colname="col5">0.56</oasis:entry>  
         <oasis:entry colname="col6">NOAA</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">21 Dec 2001</oasis:entry>  
         <oasis:entry colname="col9">Ongoing</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">PSA</oasis:entry>  
         <oasis:entry colname="col2">Palmer Station, USA</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>64.92</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>64</oasis:entry>  
         <oasis:entry colname="col5">0.01</oasis:entry>  
         <oasis:entry colname="col6">NOAA</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">1 Jan 1983</oasis:entry>  
         <oasis:entry colname="col9">Ongoing</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">RPB</oasis:entry>  
         <oasis:entry colname="col2">Ragged Point, Barbados</oasis:entry>  
         <oasis:entry colname="col3">13.17</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>59.43</oasis:entry>  
         <oasis:entry colname="col5">0.02</oasis:entry>  
         <oasis:entry colname="col6">NOAA/AGAGE</oasis:entry>  
         <oasis:entry colname="col7">AGAGE</oasis:entry>  
         <oasis:entry colname="col8">14 Nov 1987</oasis:entry>  
         <oasis:entry colname="col9">Ongoing</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">SEY</oasis:entry>  
         <oasis:entry colname="col2">Mahe Island, Seychelles</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.68</oasis:entry>  
         <oasis:entry colname="col4">55.53</oasis:entry>  
         <oasis:entry colname="col5">0</oasis:entry>  
         <oasis:entry colname="col6">NOAA</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">12 May 1983</oasis:entry>  
         <oasis:entry colname="col9">Ongoing</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">SMO</oasis:entry>  
         <oasis:entry colname="col2">Tutuila, American Samoa</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.25</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>170.56</oasis:entry>  
         <oasis:entry colname="col5">0.04</oasis:entry>  
         <oasis:entry colname="col6">NOAA</oasis:entry>  
         <oasis:entry colname="col7">NOAA/AGAGE</oasis:entry>  
         <oasis:entry colname="col8">23 Apr 1983</oasis:entry>  
         <oasis:entry colname="col9">Ongoing</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">SPO</oasis:entry>  
         <oasis:entry colname="col2">South Pole, USA</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>89.98</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>24.8</oasis:entry>  
         <oasis:entry colname="col5">2.81</oasis:entry>  
         <oasis:entry colname="col6">NOAA</oasis:entry>  
         <oasis:entry colname="col7">NOAA</oasis:entry>  
         <oasis:entry colname="col8">20 Feb 1983</oasis:entry>  
         <oasis:entry colname="col9">Ongoing</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">STM</oasis:entry>  
         <oasis:entry colname="col2">Ocean Station M, Norway</oasis:entry>  
         <oasis:entry colname="col3">66</oasis:entry>  
         <oasis:entry colname="col4">2</oasis:entry>  
         <oasis:entry colname="col5">0</oasis:entry>  
         <oasis:entry colname="col6">NOAA</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">29 Apr 1983</oasis:entry>  
         <oasis:entry colname="col9">27 Nov 2009</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">SUM</oasis:entry>  
         <oasis:entry colname="col2">Summit, Greenland</oasis:entry>  
         <oasis:entry colname="col3">72.6</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>38.42</oasis:entry>  
         <oasis:entry colname="col5">3.21</oasis:entry>  
         <oasis:entry colname="col6">NOAA</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">23 Jun 1997</oasis:entry>  
         <oasis:entry colname="col9">Ongoing</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">THD</oasis:entry>  
         <oasis:entry colname="col2">Trinidad Head, USA</oasis:entry>  
         <oasis:entry colname="col3">41.1</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>124.1</oasis:entry>  
         <oasis:entry colname="col5">0.1</oasis:entry>  
         <oasis:entry colname="col6">AGAGE</oasis:entry>  
         <oasis:entry colname="col7">AGAGE<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">Sep 1995</oasis:entry>  
         <oasis:entry colname="col9">Ongoing</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">ZEP</oasis:entry>  
         <oasis:entry colname="col2">Ny-Ålesund, Norway</oasis:entry>  
         <oasis:entry colname="col3">78.91</oasis:entry>  
         <oasis:entry colname="col4">11.89</oasis:entry>  
         <oasis:entry colname="col5">0.47</oasis:entry>  
         <oasis:entry colname="col6">NOAA</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">11 Feb 1994</oasis:entry>  
         <oasis:entry colname="col9">Ongoing</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><?xmltex \begin{scaleboxenv}{.85}[.85]?><table-wrap-foot><p><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> For NOAA CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> data the record starts in 1992 at seven of the
nine stations used here. It started in 1995 for KUM and 1996 for LEF.
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> NOAA flask data from these sites were not used in the present study or in
Montzka et al. (2011).</p></table-wrap-foot><?xmltex \end{scaleboxenv}?></table-wrap>

      <p>We have used surface CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> observations from 19 National Oceanographic
and Atmospheric Administration/Earth System Research Laboratory (NOAA/ESRL)
cooperative global air sampling sites (Dlugokencky et al., 2014) over
1993–2009 (see Table 1). To calculate the global average concentration,
measurements were interpolated across 180 latitude bins, which were then
weighted by surface area. We have also used the same method to derive global
mean CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> based on five sites from the Advanced Global Atmospheric Gases
Experiment (AGAGE) network (Prinn et al., 2000, 2015; Cunnold et al., 2002).</p>
      <p>Montzka et al. (2011) used measurements of methyl chloroform
(CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> from an independent set of flasks sampled approximately
weekly at a subset of NOAA air sampling sites to derive global [OH]
anomalies from 1997 to 2007 and found only a small interannual variability
(2.3 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.5 %). They argued that uncertainties in emissions are
likely to limit the accuracy of the inferred interannual variability in
global [OH], particularly before 1997. At that time the emissions were large
but decreasing rapidly due to the phaseout of CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production
and consumption, and the large atmospheric gradients were also more
difficult to capture accurately with only few measurement sites. Instrument
issues caused an interruption to their CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> time series in
2008–2009. We have averaged these (based on the red curve in Fig. 3 of
Montzka et al., 2011) into yearly anomalies to produce relative interannual
variations in the mean [OH]. Similarly, Rigby et al. (2013) used
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> measurements from on-site instrumentation operated
continuously within the five-station AGAGE network in a 12-box model to produce
yearly global [OH] anomalies from 1995 (the date from which data from all
five stations are available) to 2010. These two time series, which convert
anomalies in the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> decay rate into anomalies in [OH] using
constant temperature, correspond to the best estimate of [OH] variability
from the two measurement networks by the groups who operate them. We then
applied these two series of yearly global anomalies uniformly to the global
latitude–height [OH] field used in the recent Atmospheric
Tracer Transport Model Intercomparison Project (TransCom) CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> model
intercomparison (see Patra et al., 2011), which itself was derived from a
combination of semi-empirically calculated tropospheric OH distributions
(Spivakovsky et al., 2000; Huijnen et al., 2010) and 2-D-model-simulated
stratospheric loss rates (Velders, 1995). For consistency between the model
experiments, both sets of yearly anomalies were scaled so that the mean [OH]
between 1997 and 2007 (the overlap period where NOAA and AGAGE anomalies are
both available) equalled the TransCom [OH] value. In the rest of this paper
we refer to these two OH datasets as “NOAA-derived” and “AGAGE-derived”.</p>
      <p>These two calculations of yearly [OH] anomalies use slightly different
assumptions for CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions after 2002. Before that year
they use values from Prinn et al. (2005). The NOAA data then assumed a
20 % decay in emission for each subsequent year (Montzka et al., 2011),
while AGAGE used United Nations Environment Programme (UNEP) consumption
values (UNEP, 2015). Holmes et al. (2013) suggested that inconsistencies in
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> observations between the AGAGE and NOAA networks also
limit understanding of OH anomalies for specific years due to an unexplained
phasing difference of up to around 3 months. As we are interested in the
impact of [OH] changes over longer time periods (e.g. 2000–2006), this
phase difference will be less important. We have investigated the impact of
the different CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> observations and assumed emissions on the
derived [OH] anomalies (see Sect. 3.1).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>TOMCAT 3-D chemical transport model</title>
      <p>We have used the TOMCAT global atmospheric 3-D off-line
CTM (Chipperfield, 2006) to model atmospheric CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations.
The TOMCAT simulations were forced by winds and temperatures from the
6-hourly European Centre for Medium-Range Weather Forecasts (ECMWF)
ERA-Interim reanalyses (Dee et al., 2011). They covered the period 1993 to
2011 with a horizontal resolution of 2.8<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.8<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and 60 levels from the surface to <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 60 km.</p>
      <p>The TOMCAT simulations use annually repeating CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> emissions, which have
been scaled to previous estimates of 553 Tg yr<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> (Ciais et al., 2013), taken
from various studies (Fiore et al., 2006; Curry, 2007; Bergamaschi et
al., 2009; Pison et al., 2009; Spahni et al., 2011; Ito and
Inatomi, 2012).
Annually repeating anthropogenic emissions (except biomass burning) were
calculated from averaging the EDGAR v3.2 (2009) inventory from 1993 to 2009
(Olivier and Berowski, 2001). Biomass burning emissions were calculated
using the Global Fire Emissions Database (GFED) v3.1 inventory and averaged from 1997 to 2009 (van der Werf
et al., 2010). The Joint UK Land Environment Simulator (JULES) (Best et al.,
2011; Clark et al., 2011; Hayman et al., 2014) was used to calculate a
wetland emission inventory between 1993 and 2009, which was then used to
produce a mean annual cycle. Annually repeating rice (Yan et al., 2009),
hydrate, mud volcano, termite, wild animal, and ocean (Matthews and
Fung, 1987)
emissions were taken from the TransCom CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> study (Patra et al., 2011).
The methane loss fields comprised an annually repeating soil sink (Patra et
al., 2011), an annually repeating stratospheric loss field (Velders, 1995),
and a specified zonal mean [OH] field. This does not account for
longitudinal variations in [OH], which are considered to be negligible
compared to latitudinal variations. To create a reasonable spatial
distribution, the model was spun up for 15 years prior to initialising the
simulations, using emission data from 1977 to 1992 where available and
annual averages otherwise. Before reinitialising the model in 1993,
concentrations were scaled using the model and observed global
concentrations to remove any imbalance.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><caption><p>Summary of the fifteen TOMCAT 3-D CTM simulations.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.85}[.85]?><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Run</oasis:entry>  
         <oasis:entry colname="col2">OH time variation</oasis:entry>  
         <oasis:entry rowsep="1" namest="col3" nameend="col4" align="center">Meteorology<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">Winds<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">Temperature<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">RE_FTFW</oasis:entry>  
         <oasis:entry colname="col2">Repeating<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">Fixed</oasis:entry>  
         <oasis:entry colname="col4">Fixed</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">RE_FTVW</oasis:entry>  
         <oasis:entry colname="col2">Repeating<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">Varying</oasis:entry>  
         <oasis:entry colname="col4">Fixed</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">RE_VTVW</oasis:entry>  
         <oasis:entry colname="col2">Repeating<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">Varying</oasis:entry>  
         <oasis:entry colname="col4">Varying</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">AP_FTFW</oasis:entry>  
         <oasis:entry colname="col2">AGAGE (Rigby et al., 2013)</oasis:entry>  
         <oasis:entry colname="col3">Fixed</oasis:entry>  
         <oasis:entry colname="col4">Fixed</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">AP_FTVW</oasis:entry>  
         <oasis:entry colname="col2">AGAGE (Rigby et al., 2013)</oasis:entry>  
         <oasis:entry colname="col3">Varying</oasis:entry>  
         <oasis:entry colname="col4">Fixed</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">AP_VTVW</oasis:entry>  
         <oasis:entry colname="col2">AGAGE (Rigby et al., 2013)</oasis:entry>  
         <oasis:entry colname="col3">Varying</oasis:entry>  
         <oasis:entry colname="col4">Varying</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">AL_FTVT</oasis:entry>  
         <oasis:entry colname="col2">AGAGE (this work)</oasis:entry>  
         <oasis:entry colname="col3">Fixed</oasis:entry>  
         <oasis:entry colname="col4">Fixed</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">AL_FTVW</oasis:entry>  
         <oasis:entry colname="col2">AGAGE (this work)</oasis:entry>  
         <oasis:entry colname="col3">Varying</oasis:entry>  
         <oasis:entry colname="col4">Fixed</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">AL_VTVW</oasis:entry>  
         <oasis:entry colname="col2">AGAGE (this work)</oasis:entry>  
         <oasis:entry colname="col3">Varying</oasis:entry>  
         <oasis:entry colname="col4">Varying</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NP_FTFW</oasis:entry>  
         <oasis:entry colname="col2">NOAA (Montzka et al., 2011)</oasis:entry>  
         <oasis:entry colname="col3">Fixed</oasis:entry>  
         <oasis:entry colname="col4">Fixed</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NP_FTVW</oasis:entry>  
         <oasis:entry colname="col2">NOAA (Monztka et al., 2011)</oasis:entry>  
         <oasis:entry colname="col3">Varying</oasis:entry>  
         <oasis:entry colname="col4">Fixed</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NP_VTVW</oasis:entry>  
         <oasis:entry colname="col2">NOAA (Montzka et al., 2011)</oasis:entry>  
         <oasis:entry colname="col3">Varying</oasis:entry>  
         <oasis:entry colname="col4">Varying</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NL_FTFW</oasis:entry>  
         <oasis:entry colname="col2">NOAA (this work)</oasis:entry>  
         <oasis:entry colname="col3">Fixed</oasis:entry>  
         <oasis:entry colname="col4">Fixed</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NL_FTVW</oasis:entry>  
         <oasis:entry colname="col2">NOAA (this work)</oasis:entry>  
         <oasis:entry colname="col3">Varying</oasis:entry>  
         <oasis:entry colname="col4">Fixed</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NL_VTVW</oasis:entry>  
         <oasis:entry colname="col2">NOAA (this work)</oasis:entry>  
         <oasis:entry colname="col3">Varying</oasis:entry>  
         <oasis:entry colname="col4">Varying</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><?xmltex \begin{scaleboxenv}{.85}[.85]?><table-wrap-foot><p><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Annually repeating [OH] taken from Patra et al. (2011).
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Varying winds and temperatures are from ERA-Interim.
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> Fixed winds using repeating ERA-Interim winds from 1996.
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula> Fixed temperatures use zonal mean ERA-Interim temperatures averaged over
1993–2009.</p></table-wrap-foot><?xmltex \end{scaleboxenv}?></table-wrap>

      <p>Fifteen TOMCAT simulations were performed, each with a CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> tracer and a
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> tracer. The runs had differing treatments of meteorology
(winds and temperature) and [OH] (see Table 2). Simulations with repeating
[OH] fields (RE_xxxx) used the TransCom dataset. The other
runs with varying [OH] used the NOAA-derived or AGAGE-derived [OH] fields
based on the original published work or our estimates (see Sect. 3.1). For
these runs, the mean [OH] field is used where the respective NOAA or
AGAGE-derived [OH] is unavailable or uncertain (before 1997/after 2007 for
NOAA and before 1997/after 2009 for AGAGE). The five simulations with
fixed wind and temperature fields (with labels ending in FTFW) used the
ERA-Interim analyses from 1996 repeated for all years. The five simulations
with varying winds and fixed temperature (with labels ending in FTVW) used
zonal mean temperature fields averaged from 1993 to 2009; any influence from
the relatively small longitudinal temperature variations is unlikely to have
a noticeable impact. We also derive our own [OH] anomalies from the anomaly
in the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> loss rate, which combines variations in atmospheric
OH concentration with variations in temperature which affect the rate
constant of the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> OH reaction. To quantify the
importance of this temperature effect, we also performed five model runs which
allow both winds and temperature to vary interannually according to
ERA-Interim data (labels ending VTVW). Fixed-temperature simulations are
used for general analysis because the derived OH anomalies already implicity
contain temperature variations.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results</title>
<sec id="Ch1.S3.SS1">
  <?xmltex \opttitle{Correlation of CH${}_{{4}}$ variations with OH and temperature}?><title>Correlation of CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> variations with OH and temperature</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p><bold>(a)</bold> Annual global CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth rate (ppb yr<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>) derived from NOAA
(filled black circles) and AGAGE (open black circles) data (left-hand
<inline-formula><mml:math display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis), and published annual global [OH] anomalies derived from NOAA
(filled blue circles, 1997–2007) and AGAGE (open blue circles, 1997–2009)
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> measurements (right-hand <inline-formula><mml:math display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis) (see text). <bold>(b)</bold> Annual
mean [OH] (molecules cm<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> required for global box model (see
Supplement Sect. S1) to fit yearly variations in NOAA CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> observations, assuming constant
emissions and temperature (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>E</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 553 Tg yr<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>; <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 272.9 K), based on Montzka et
al. (2011) (solid black line). The shaded region denotes [OH] deviation of
<inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2.3 % from the 1993–2011 mean. Also shown are the NOAA- and
AGAGE-derived anomalies from panel <bold>(a)</bold> for an assumed mean OH (see Sect. 2.1).
<bold>(c)</bold> Our estimates of [OH] derived from NOAA CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
calculated using a global box model (Supplement Sect. S1) using repeating (blue)
and varying (red) annual mean temperature and the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission
scenario from UNEP (2015) (filled circles and dashed lines). Also shown for
varying temperatures are results using the emissions of Montzka et al. (2011)
(red open circles and solid line) based on Prinn et al. (2005) and the
NOAA-derived values from panel <bold>(a)</bold> (black dashed line and circles). <bold>(d)</bold> As
panel <bold>(c)</bold> but for OH derived from AGAGE CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> observations.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/7943/2016/acp-16-7943-2016-f01.png"/>

        </fig>

      <p>We first investigate the extent to which variations in the observed CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
growth rate correlate with variations in derived [OH]. Figure 1a shows the
published NOAA-derived and AGAGE-derived global [OH] anomalies along with
the annual CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth rate estimated from the NOAA and AGAGE
measurements. The two [OH] series show the similar behaviour of negative
anomalies around 1997 and 2006–2007, and an extended period of more positive
anomalies in between. For the time periods covered by the NOAA (1997–2007)
and AGAGE (1997–2009) CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> observations, the two derived [OH]
time series show negative correlations with the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth from NOAA
(regression coefficient, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.32) and AGAGE (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.64). Only the
AGAGE [OH] correlation, from the longer time series, is statistically
significant at the 90 % level. We assume that this correlation arises from
variability in [OH] driving variability in CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth, although the
correlation could be the result of a bidirectional effect, whereby decreased
also CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> acts to increase [OH]. We note that Spivakovsky et al. (2000)
showed a 25 % (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 450 ppb) change in model CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> equates
to a 5–6 % change in [OH]. This far exceeds the annual growth observed;
therefore this effect is likely to be small. However, the concentration of
others species which affect OH such as CO and volatile organic compounds
(VOCs) can co-vary with the methane concentration, for example during years
with high biomass burning emissions, so the effect may be larger than
suggested by the Spivakovsky et al. (2000) study.</p>
      <p>We can use a simple “global box model” (see Supplement Sect. S1) to estimate the
[OH] variations required to fit the observed CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth rate variations,
assuming constant CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> emissions and temperature (black line in Fig. 1b).
This provides a crude guide to the magnitude of OH variations which
could be important for changes in the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> budget. Our results are
consistent with those of Montzka et al. (2011), who performed a similar
analysis on the NOAA CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> data. The required [OH] rarely exceeds their
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-derived IAV range of [OH]
(<inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2.3 %, shown as shading in the figure). Also shown in Fig. 1b
are the published estimates of the global mean OH anomalies from Fig. 1a,
converted to concentration units (see Sect. 2.1). The relative interannual
variations in [OH] required to fit the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> observations match the
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-derived [OH] variations in many years, for example
1998–2002 (see Montzka et al., 2011). Some of the derived variations in [OH]
exceed that required to match the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth rate, with larger negative
anomalies in the early and later years and some slightly larger positive
values in the middle of the period.</p>
      <p>Figure 1c and d show our estimates of [OH] using NOAA and AGAGE
observations and two assumptions of post-2000 CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions
(see Sect. 2.1) in a global box model. The figures also compare our OH
estimates with the NOAA-derived and AGAGE-derived [OH] anomalies based on
the work of the observation groups (Fig. 1a). Our results demonstrate the
small impact of using different observations and post-2000 emission
assumptions (compare filled and open red circles for the two panels). For
these box model results there is also only a very small effect of using
annually varying temperature (compare red and blue lines). In later years
the choice of observations has a bigger impact than the choice of emissions
on the derived [OH]. For AGAGE-derived values (Fig. 1d) our estimates
agree well with the published values of Rigby et al. (2013), despite the
fact we use a global box model while they used a more sophisticated 12-box
model. In contrast, there are larger differences between our values and the
NOAA-derived OH variability published by Montzka et al. (2011) (Fig. 1c),
despite both studies using box models. In particular, around 2002–2003 we
overestimate the positive anomaly in [OH]. We also estimate a much more
negative OH anomaly in 1997 than Montzka et al. (2011), though we slightly
underestimate the published AGAGE-derived anomaly in that year (Fig. 1d).
Tests show that differences between our results and the NOAA box model are
due to the treatment of emissions. This suggests a larger uncertainty in the
inferred low 1997 [OH] value, when emissions of CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> were
decreasing rapidly, although reasons why atmospheric [OH] might have been
anomalously low were discussed by Prinn et al. (2005). In the subsequent
analysis we use the OH variability from the published NOAA and AGAGE studies
as input to the 3-D model.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>TOMCAT simulations</title>
      <p>Overall, Fig. 1 shows the potential importance of small, observationally
derived variations in OH concentrations to impact methane growth. We now
investigate this quantitatively in the framework of a 3-D CTM.</p>
<sec id="Ch1.S3.SS2.SSS1">
  <title>Methyl chloroform</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p><bold>(a)</bold> Global mean surface CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (ppt) from NOAA (black
dashed) and AGAGE (black solid) observations from 1993 to 2012. Also shown
are results from five TOMCAT simulations with fixed temperatures and varying
winds (see Table 1). <bold>(b)</bold> Global surface CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> decay rate
anomalies from NOAA and AGAGE along with model runs RE_FTVW,
AL_FTVW, and AP_FTVW (solid lines). Results
from runs RE_FTFW and RE_VTVW are shown as a
purple dotted line and dashed line, respectively. Observation and model
anomalies are smoothed with a 12-month running average. Values given
represent correlation coefficient when compared to AGAGE observations and
variance. The decay rate anomaly is calculated from global mean
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> values using Eq. (1) from Holmes et al. (2013),
expressed as a percentage of the typical decay with a 12-month smoothing.
<bold>(c)</bold> As panel <bold>(b)</bold> but for model runs NL_FTVW and
NP_FTVW, along with RE_FTVW, RE_
VTVW, and RE_FTFW, and correlation coefficients for comparison
with NOAA observations. The model results are split across panels <bold>(b)</bold> and
<bold>(c)</bold> for clarity.</p></caption>
            <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/7943/2016/acp-16-7943-2016-f02.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p>(Left) Observed mean surface CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (ppt) (black line)
from <bold>(a)</bold> Mace Head (AGAGE), <bold>(c)</bold> Cape Grim (AGAGE), <bold>(e)</bold> Mauna Loa (NOAA), and
<bold>(g)</bold> South Pole (NOAA). Also shown are results from five TOMCAT simulations
with fixed temperatures and varying winds (FTVW; for legend see Fig. 2a).
(Right) Surface CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> decay rate anomalies at the same station
as the corresponding left column plot for observations (black), TOMCAT
simulations with varying winds (FTVW, solid coloured lines), and TOMCAT
simulations with fixed winds (FTFW, dotted lines). Comparisons at NOAA
(AGAGE) stations show only comparisons with runs using NOAA (AGAGE)-derived
OH, along with runs RE_FTVW and RE_FTFW in all
panels.</p></caption>
            <?xmltex \igopts{width=392.648031pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/7943/2016/acp-16-7943-2016-f03.png"/>

          </fig>

      <p>The TOMCAT simulations include a CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> tracer. This allows us to
verify that our approach of using a global OH field, scaled by derived
anomalies, allows the model to reproduce the observed magnitude and
variability of CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> decay accurately. Figure 2a shows that the
model, with the imposed [OH] field, does indeed simulate the global decay of
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> very well. This justifies our use of the “offline” [OH]
field, as models with interactive tropospheric chemistry can produce a large
range in absolute global mean [OH] and therefore in lifetimes of gases such
as CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. For example, Voulgarakis et al. (2013) analysed the
global mean [OH] from various 3-D models and found a range of 0.65 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula>
to 1.34 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> molecules 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>. Furthermore,
Montzka et al. (2011) discussed how photochemical models typically show
smaller interannual variability than CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-derived OH, again
suggesting that the models are not accurately capturing all relevant
processes. Figure 2a also shows that the global mean CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from
the NOAA and AGAGE networks differ by <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2.5 ppt around
1993–1996, but since then this difference has become smaller.</p>
      <p>The observed and modelled CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> decay rate anomalies (calculated
using the method of Holmes et al. (2013) with a 12-month smoothing) are
shown in Fig. 2b and c (different panels are used for AGAGE and NOAA
comparisons for clarity). The model and observation-derived results both
tend to show a faster CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> decay (more positive anomaly) in the
middle of the period, with slower decay at the start and end. The anomalies
for the NOAA- and AGAGE-derived OH show periodic variations on a timescale of
2–3 years but with a phase shift between the two datasets of 3 months, as
noted by Holmes et al. (2013). The model runs with OH variability
prescribed from the observations and varying winds also show these periodic
variations with correlation coefficients ranging from 0.71 to 0.90. The
correlation values for these runs using varying OH are all larger than the
run using repeating OH (for RE_FTVW <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.62 compared to
AGAGE data and 0.67 compared to NOAA data). Note that for CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
decay there are only small differences between the 3-D simulations which use
varying temperatures and the corresponding runs which use fixed temperature
(e.g. simulation RE_VTVW versus RE_FTVW). This
agrees with the results of Montzka et al. (2011) based on their box model.
This shows that the largest contribution from the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> decay
rate anomaly comes from variations in atmospheric OH concentration, rather
than atmospheric temperature. The simulations with repeating winds show less
variability in the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> decay rate, particularly in the period
1999–2004, but the small difference suggests that the interannual
variability in the observed CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> decay rate is driven primarily
by the variations in the OH concentration. The remaining interannual
variability in run RE_FTFW is due to variations in emissions.</p>
      <p>Figure 3 shows the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> decay and decay rate anomalies at four
selected stations, two from the NOAA network and two from the AGAGE network.
The good agreement in the global CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> decay in Fig. 2 is also
seen at these individual stations. At the AGAGE stations of Mace Head and
Cape Grim, the model runs with varying OH perform better in capturing the
decay rate anomalies than the runs with repeating OH. However, the impact of
variability in the winds (solid lines versus dotted lines) is more apparent
at these individual stations compared to the global means. At the NOAA
station of Mauna Loa the model run with varying OH and varying winds also
appears to perform better in capturing the observed variability in
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> decay. At the South Pole the observed variability is
small, except in 2000–2002. This feature is not captured by the model.</p>
      <p>In summary, Figs. 2 and 3 show that the global OH fields that we have
constructed from different datasets can perform well in capturing the decay
of CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and its anomalies both globally and at individual
stations. Although the interannual variability in global mean OH has been
derived from these CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> observations, the figures do show that
the reconstructed model OH fields (which also depend on the methodology
discussed in Sect. 2) perform well in simulating CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> within
the 3-D model. Therefore, we would argue that these fields are suitable for
testing the impact of OH variability on the methane growth rate. Even so, it
is important to bear in mind that these fields may not represent the true
changes in atmospheric OH, particularly if the interannual variability in
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions was a lot different to that assumed here.
However, we would again note that we are focussing on the impact of
multi-year (<inline-formula><mml:math display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 2 years) variability, which appears more robustly
determined by the networks under differing assumptions of temperature and
emissions than year-to-year variability.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <title>Methane</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p><bold>(a, b, c, d)</bold> Deseasonalised surface CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> (ppb) from four NOAA
sites (black solid line) from 1993 to 2009. Also shown are results from
five TOMCAT 3-D CTM simulations with fixed temperatures and varying winds
(FTVW; see Table 2). <bold>(e)</bold> Deseasonalised global mean surface CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> from
NOAA (black solid) and AGAGE (black dashed) observations along with five
TOMCAT simulations with different treatments of OH. <bold>(f)</bold> Same as <bold>(e)</bold> but for
TOMCAT simulations using repeating OH (RE) and different treatments of winds
and temperature. All panels use observation and model values which are
smoothed with a 12-month running average. The shaded region marks the
stagnation period in the observed CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth rate.</p></caption>
            <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/7943/2016/acp-16-7943-2016-f04.png"/>

          </fig>

      <p>Figure 4 shows deseasonalised modelled surface CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> from the 3-D CTM
simulations compared with in situ observations from a northern high-latitude
station (Alert), two tropical stations (Mauna Loa and Tutuila), a southern
high-latitude station (South Pole), and the global average of the NOAA and
AGAGE stations. The global comparisons are shown for simulations both with
varying and repeating meteorology. Figure 5 shows the global annual CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
growth rates with a 12-month smoothing (panel a) and differences between the
model and NOAA and AGAGE observations (panels b and c). The changes in the
modelled global mean CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> over different time periods are given in Table 3.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p><bold>(a)</bold> The smoothed variation in the global annual CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth
rate (ppb yr<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>) derived from NOAA (black solid) and AGAGE (black dashed)
observations. Also shown are the smoothed growth rates from five TOMCAT 3-D
CTM simulations with fixed temperatures and varying winds (FTVW; see Table 1).
Values in legend give correlation coefficient between model run and NOAA
observations. Also shown are results from runs RE_FTFW and
RE_VTVW as a purple dotted line and dashed line,
respectively. <bold>(b)</bold> The difference in smoothed growth rate between TOMCAT
simulations and NOAA observations shown in panel <bold>(a)</bold>. <bold>(c)</bold> Same as <bold>(b)</bold> except
using differences compared to AGAGE observations. The vertical dashed lines
mark the start and end of the stagnation period in the observed CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
growth rate (1999–2006).</p></caption>
            <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/7943/2016/acp-16-7943-2016-f05.png"/>

          </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p>Calculated methane changes over different time periods from
selected TOMCAT experiments and the NOAA and AGAGE observation networks.
Standard errors shown are calculated from statistically independent
unsmoothed monthly global CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth data.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Model run or <?xmltex \hack{\hfill\break}?>observation</oasis:entry>  
         <oasis:entry namest="col2" nameend="col5" align="center">Global mean <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> in ppb  </oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">network</oasis:entry>  
         <oasis:entry rowsep="1" namest="col2" nameend="col5" align="center">(ppb yr<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>) </oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">2009–1993</oasis:entry>  
         <oasis:entry colname="col3">1998–1993</oasis:entry>  
         <oasis:entry colname="col4">2006–1999</oasis:entry>  
         <oasis:entry colname="col5">2009–2007</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">RE_FTFW</oasis:entry>  
         <oasis:entry colname="col2">85.0 (5.0 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2)</oasis:entry>  
         <oasis:entry colname="col3">47.2 (7.9 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1)</oasis:entry>  
         <oasis:entry colname="col4">32.9 (4.1 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1)</oasis:entry>  
         <oasis:entry colname="col5">4.3 (1.4 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1)</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">RE_FTVW</oasis:entry>  
         <oasis:entry colname="col2">82.2 (4.8 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2)</oasis:entry>  
         <oasis:entry colname="col3">48.2 (8.0 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3)</oasis:entry>  
         <oasis:entry colname="col4">27.8 (3.5 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3)</oasis:entry>  
         <oasis:entry colname="col5">5.4 (1.8 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3)</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">RE_VTVW</oasis:entry>  
         <oasis:entry colname="col2">74.6 (4.4 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2)</oasis:entry>  
         <oasis:entry colname="col3">45.6 (7.6 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2)</oasis:entry>  
         <oasis:entry colname="col4">23.1 (2.9 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2)</oasis:entry>  
         <oasis:entry colname="col5">5.3 (1.8 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2)</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">AP_FTVW<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">97.7<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula> (5.7 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4)</oasis:entry>  
         <oasis:entry colname="col3">62.3<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula> (10.4 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.5)</oasis:entry>  
         <oasis:entry colname="col4">8.2<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msup></mml:math></inline-formula> (1.0 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4)</oasis:entry>  
         <oasis:entry colname="col5">26.4 (8.8 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6)</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">AL_FTVW<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">104.2<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula> (6.1 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4)</oasis:entry>  
         <oasis:entry colname="col3">58.4<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula> (9.7 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4)</oasis:entry>  
         <oasis:entry colname="col4">17.3 (2.2 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.5)</oasis:entry>  
         <oasis:entry colname="col5">27.5 (9.2 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.5)</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NP_FTVW<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">86.2<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:math></inline-formula> (5.1 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3)</oasis:entry>  
         <oasis:entry colname="col3">49.7<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:math></inline-formula> (8.3 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3)</oasis:entry>  
         <oasis:entry colname="col4">24.8 (3.1 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4)</oasis:entry>  
         <oasis:entry colname="col5">10.6<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:math></inline-formula> (3.8 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7)</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">NL_FTVW<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">91.4<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:math></inline-formula> (5.4 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.5)</oasis:entry>  
         <oasis:entry colname="col3">58.8<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:math></inline-formula> (9.8 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.5)</oasis:entry>  
         <oasis:entry colname="col4">20.1 (2.5 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6)</oasis:entry>  
         <oasis:entry colname="col5">11.3<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:math></inline-formula>(3.8 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.0)</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NOAA obs.</oasis:entry>  
         <oasis:entry colname="col2">56.1 (3.3 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3)</oasis:entry>  
         <oasis:entry colname="col3">36.0 (6.0 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4)</oasis:entry>  
         <oasis:entry colname="col4">4.8 (0.6 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3)</oasis:entry>  
         <oasis:entry colname="col5">14.7 (4.9 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4)</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">AGAGE obs.</oasis:entry>  
         <oasis:entry colname="col2">66.3 (3.9 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4)</oasis:entry>  
         <oasis:entry colname="col3">42.6 (7.1 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.9)</oasis:entry>  
         <oasis:entry colname="col4">5.6 (0.7 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7)</oasis:entry>  
         <oasis:entry colname="col5">17.4 (5.8 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7)</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p>
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Taken from Rigby et al. (2013) and Patra et al. (2011).
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Using 1997–2009 relative annual changes in mean [OH] derived from AGAGE
data (Cunnold et al., 2002).
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> Taken from Montzka et al. (2011) and Patra et al. (2011).
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula> Using 1997–2007 relative annual changes in mean [OH] derived from NOAA
data (Prinn et al., 2015).
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula> Value using mean [OH] from 1993 to 1996.
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:math></inline-formula> Value using mean [OH] from 1993 to 1996 and 2008 to 2011.
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msup></mml:math></inline-formula> Trend value not statistically significant at the 90 % level.</p></table-wrap-foot></table-wrap>

      <p>Figure 4 shows that in 1993, at the end of the model spin-up, the
simulations capture the global mean CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> level well, along with the
observed values at a range of latitudes. The exception is at high northern
latitudes. However, these differences are not important when investigating
the change in the global growth rate. The global change in atmospheric
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> in all simulations from 1993 to the end of 2009 is between 75 and
104 ppb, compared to 56 and 66 ppb in the observations.</p>
      <p>Model run RE_FTFW does not include interannual variations in
atmospheric transport or CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> loss. Therefore, and also given the lack
of change in emissions, the modelled CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> gradually approaches a
steady-state value of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1830 ppb (Fig. 4f). The rate of CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
growth decreases from 7.9 ppb yr<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> (1993–1998) to 1.4 ppb yr<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> (2007–2009).
Compared to run RE_FTFW, the other simulations introduce
variability on this CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> evolution.</p>
      <p>Run RE_FTVW includes interannual variability in wind fields
which may alter the transport of CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> from the source (emission) to the
sink regions. The largest difference between runs RE_FTFW and
RE_FTVW occurs after 2000 (Fig. 4f). During the stagnation
period (1999–2006) run RE_FTVW has a smaller growth rate of
3.5 ppb yr<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> compared to 4.1 ppb yr<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> in run RE_FTFW, showing
that variations in atmospheric transport made a small contribution to the
slowdown in global mean CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth.</p>
      <p>Compared to run RE_FTVW, runs AP_FTVW,
AL_FTVW, NP_FTVW, and NL_FTVW
include CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-derived interannual variations in [OH] which
introduce large changes in modelled CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, which are more in line with
the observations (Figs. 4e and 5). These runs produce turnarounds in the
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth in 2001–2002 (becomes negative) and 2005–2006 (returns to being
positive). For AGAGE-derived [OH] (runs AP_FTVW,
AL_FTVW) the large negative anomaly in OH in 1997 produces a
significant increase in CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> prior to the turnround in 2001.</p>
      <p>Table 3 summarises the change in global mean CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> over different time
periods. These periods are defined by the key dates in the observed record,
i.e. 1999 and 2006 as the start and end dates of the stagnation period.
Comparison of Fig. 4e and Table 3 shows, however, that the timing of the
largest modelled change in growth rate does not necessarily coincide with
those dates. That is understandable if other factors not considered here,
e.g. emission changes, are contributing to the change in global CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
concentration. It does mean that the summary model values in Table 3 do not
capture the full impact of the changes in [OH] and winds within the
stagnation period. Figure 4e shows that model runs with varying OH perform
better in simulating the relative CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> trend from 1999 to around 2004.</p>
      <p>Table 3 shows that runs NP_FTVW and NL_FTVW
(NOAA-derived [OH]) produce a small modelled CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth of 2.5–3.1 ppb yr<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>
during the stagnation period (1999–2006), compared to 1.0 ppb yr<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> for
run AP_FTVW (AGAGE-derived [OH]). The AGAGE results are
slightly larger than the observed growth rate of 0.6–0.7 ppb yr<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>. Runs
AL_FTVW, AP_FTVW, NL_FTVW, and
NP_FTVW capture the observed strong decrease in the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
growth rate. With the exception of AP_FTVW between 1999 and
2006 (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.37) all trends, over all three time periods, are
statistically significant at the 90 % level. Clearly, these runs
demonstrate the significant potential for relatively small variations in
mean [OH] to affect CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth. Excluding the stagnation period, the
mean modelled CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> lifetime in run NP_FTVW is 9.4 years,
but this decreases slightly by 0.01 years during the stagnation period. For
run AP_FTVW there is a decrease of 0.18 years from 9.6 years
between the same intervals. The results from all the CTM simulations during
1999–2006 indicate that the accuracy of modelled CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth is improved
by accounting for interannual variability in [OH] as derived from
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> observations and interannual variability in meteorology.</p>
      <p>The variation of [OH] after 2007 cannot be determined from the available
NOAA data, so run NP_FTVW used the mean [OH] field for all
subsequent years. The modelled CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> increase of 3.5 ppb yr<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>
underestimates the observations (4.9 ppb yr<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>). Should the lower [OH] of 2007
have persisted, then the model would have produced a larger increase in
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, in better agreement with the observations. The AGAGE-derived [OH]
for 2007–2009 (run AP_FTVW) produces a larger CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth
relative to the previous years (8.8 ppb yr<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>). Runs RE_FTFW
(1.4 ppb yr<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 RE_FTVW (1.8 ppb yr<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>) both show a decreased
rate of growth during the final 5 years, consistent with a system
approaching steady state.</p>
      <p>Figure 5a shows the global CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth rate derived from the AGAGE and
NOAA networks together with selected model simulations. Figure 5b and c
show the differences between the model simulations and the NOAA and AGAGE
observations, respectively. The runs which include variations in [OH] agree
better with the observed changes, i.e. larger <inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> values in panel (a) and the
model lines being closer to the <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> line in panels (b) and (c), especially
in the first 5 years of the stagnation period. It is interesting to note
that the relative impacts of wind and temperature variations are larger for CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
than for CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (compare simulations RE_FTFW,
RE_FTVW, and RE_VTVW in Figs. 2 and 5a). The temperature dependences of the OH loss reactions are similar for
the two species (see Supplement Sect. S1), but the impact of variability in
transport is likely to be greater for CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> due to its stronger spatial
gradients than for CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. Figure S2 in the Supplement
shows the very weak horizontal gradients in CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in
its period of atmospheric decay due to small emissions. In contrast,
variations in emissions lead to large spatial gradients in CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> which
can then couple with variability in transport. This lack of spatial
variability in CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is an advantage when using this species to
derive OH variability as it reduces the possible complication from transport
variability. The impact of variability in temperature will remain, however.
In principle, it would be possible to use a 3-D inverse model with realistic
temperature fields to derive a time-dependent 3-D OH field which is
consistent with the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> decay. However, there are not enough
observations to constrain such a model. Using the TOMCAT model, in
Supplement S2 we test whether differences in the distribution of the
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> observation networks will affect the anomaly
signal derived by the application of the same OH field. The results there
show that the differences in the distribution of the observing stations are
not likely to be important.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Discussion and conclusions</title>
      <p>Our model results suggest that variability in atmospheric [OH] played a key
role in the observed recent variations in CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth, particularly
during the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> stagnation period between 1999 and 2006. The 3-D CTM
calculations show that, during the stagnation period, variations in
atmospheric conditions in the tropical lower to mid-troposphere could
potentially account for an important component of the observed decrease in
global CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth. Within this, small increases in [OH] were the
largest factor, while variations in transport from source to sink regions
made a smaller contribution. Note again, however, that the ultimate loss of
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> is still due to chemistry. The role of atmospheric temperature
variations is factored into the observationally derived OH, but model
experiments show that changes in the OH concentration itself is most
important. The remainder of the variation can be ascribed to other processes
not considered in our runs such as emission changes. There are also
measurement uncertainties to consider and the possible underrepresentation
of the global mean CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> which will affect the derived OH
concentration. Our results are consistent with an earlier budget study which
analysed 1991 to 2004 and found that variations in [OH] were the main
control of variations in atmospheric CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> lifetime (65 %), with
temperature accounting for a smaller fraction (35 %) (Fiore et al., 2006).
However, they were not able to study the full period of the pause in
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth and did not impose observation-based [OH] variations. As we
have noted here, the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> lifetime can also be affected by emission
distributions which affect transport to the main loss regions.</p>
      <p>Prior to the stagnation period the simulation using AGAGE-derived [OH]
(9.7–10.4 ppb yr<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>) overestimates CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth when compared to
observations (6.0–7.1 ppb yr<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>), which degrades the agreement with the
observed CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> variations. A likely cause of this is inaccuracies in
derived [OH] in 1997, when emissions still played a large role in the
observed CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and the <inline-formula><mml:math display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula>-fold decay had not yet stabilised
(Montzka et al., 2011).</p>
      <p>We have not accounted for expected variations in CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> emissions in this
study. We can conclude that although global CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> emissions do vary
year to year, the observed trend in CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth between 1999 and 2006
was impacted by changing atmospheric processes that affected CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> loss.
Changes in emissions are still important over this time period and likely
still dominate CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> variations over other time periods. The observed
changes in growth rates during ENSO events in e.g. 1998 are poorly captured
by the meteorological changes considered here and can be attributed to
changes in emissions through changing precipitation and enhanced biomass
burning (Hodson et al., 2011). The renewed growth of CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> in 2007 is
also poorly captured by all model simulations without varying [OH]. The
observed decrease in AGAGE- and NOAA-derived [OH] coincides with the increase
in CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> growth in 2007, although the currently available data do not
allow for a more detailed investigation of the possible contribution of [OH]
changes in this recent increase.</p>
      <p>Despite the differences in year-to-year variability in [OH] derived from
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> observations (Holmes et al., 2013), we find that [OH]
variability derived from two different networks of surface CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
observations over multi-year periods provide insights into atmospheric
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> variations. Improved quantification of the role of OH variability
will require efforts to reduce uncertainties associated with estimating
[OH]. Estimates of global mean [OH] in recent years from CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
observations are becoming increasingly difficult because CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> levels are
currently <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 5 ppt; hence this may limit the accuracy of
derived [OH] and its variability in future years (Lelieveld et al., 2006).
Wennberg et al. (2004) also noted that there can be time variations in the
net flux of CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> by the oceans, which could potentially affect
the derived [OH] concentrations and which were not considered in our
analysis. However, the impact of interannual variability in this flux is
not likely to be important. For the period considered in this study, Fig. 2
of Wennberg et al. (2004) shows that the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> flux into the
ocean decreased from the largest value in 1997 to almost zero in recent
years, which mimics CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions. Including the estimated
1997 ocean flux in our box model decreased the OH anomaly for that year by
0.8 %. This change would decrease in magnitude in the subsequent years.
Overall, accurate estimates of [OH] beyond 2009 will require more
sophisticated analysis of CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> observations, derivation from
other species, or improved representation of [OH] in photochemical models.</p>
      <p>Overall our study suggests that future atmospheric trends in CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> are
likely to be strongly influenced not only by emissions but also by changes
in processes that affect atmospheric loss. Therefore, to be realistic,
predictions of these future trends need to explicitly account for likely
variations in [OH], the major sink, and possibly other processes related to
tropospheric and stratospheric chemistry.</p>
</sec>
<sec id="Ch1.S5">
  <title>Data availability</title>
      <p>The observational data used in this paper are available at: <uri>http://www.esrl.noaa.gov/gmd/dv/data</uri> (NOAA data)
<uri>http://cdiac.esd.ornl.gov/ndps/alegage.html</uri> (AGAGE data).</p>
      <p>Model data are available on request, please contact:
eejrm@leeds.ac.uk or m.chipperfield@leeds.ac.uk</p>
</sec>

      
      </body>
    <back><app-group>
        <supplementary-material position="anchor"><p><bold>The Supplement related to this article is available online at <inline-supplementary-material xlink:href="http://dx.doi.org/10.5194/acp-16-7943-2016-supplement" xlink:title="pdf">doi:10.5194/acp-16-7943-2016-supplement</inline-supplementary-material>.</bold><?xmltex \hack{\newpage}?></p></supplementary-material>
        </app-group><ack><title>Acknowledgements</title><p>J. McNorton  thanks NERC National Centre for Earth Observation
(NCEO) for a studentship. C. Wilson, M. P. Chipperfield and M. Gloor acknowledge support from NERC
grants GAUGE (NE/K002244/1) and AMAZONICA (NE/F005806/1). G. D. Hayman acknowledges
support from the European Space Agency through its Support to Science
Element initiative (ALANIS Methane), NCEO, and the NERC MAMM grant
(NE/I028327/1). S. A. Montzka acknowledges support in part from NOAA Climate Program
Office's AC4 programme. AGAGE is supported by NASA grants NNX11AF17G to MIT
and NNX11AF15G and NNX11AF16G to SIO, by NOAA, by UK Department of Food and
Rural Affairs (DEFRA) and UK Department for Energy and Climate Change (DECC)
grants to Bristol University, and by CSIRO and Australian Bureau of
Meteorology. M. Rigby is supported by a NERC Advanced Fellowship (NE/I021365/1).
Model calculations were performed on the Arc1 and Archer
supercomputers.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>Edited by:  B. N. Duncan</p></ack><ref-list>
    <title>References</title>

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    <!--<article-title-html>Role of OH variability in the stalling of the global atmospheric CH<sub>4</sub>
growth rate from 1999 to 2006</article-title-html>
<abstract-html><p class="p">The growth in atmospheric methane (CH<sub>4</sub>) concentrations over the past
2 decades has shown large variability on a timescale of several years.
Prior to 1999 the globally averaged CH<sub>4</sub> concentration was increasing at
a rate of 6.0 ppb yr<sup>−1</sup>, but during a stagnation period from 1999 to 2006 this
growth rate slowed to 0.6 ppb yr<sup>−1</sup>. From 2007 to 2009 the growth rate again
increased to 4.9 ppb yr<sup>−1</sup>. These changes in growth rate are usually ascribed
to variations in CH<sub>4</sub> emissions. We have used a 3-D global chemical
transport model, driven by meteorological reanalyses and variations in
global mean hydroxyl (OH) concentrations derived from CH<sub>3</sub>CCl<sub>3</sub>
observations from two independent networks, to investigate these CH<sub>4</sub>
growth variations. The model shows that between 1999 and 2006 changes in
the CH<sub>4</sub> atmospheric loss contributed significantly to the suppression
in global CH<sub>4</sub> concentrations relative to the pre-1999 trend. The
largest factor in this is relatively small variations in global mean OH on a
timescale of a few years, with minor contributions of atmospheric transport
of CH<sub>4</sub> to its sink region and of atmospheric temperature. Although
changes in emissions may be important during the stagnation period, these
results imply a smaller variation is required to explain the observed
CH<sub>4</sub> trends. The contribution of OH variations to the renewed CH<sub>4</sub>
growth after 2007 cannot be determined with data currently available.</p></abstract-html>
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