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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="data-paper">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">ESSD</journal-id><journal-title-group>
    <journal-title>Earth System Science Data</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ESSD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Earth Syst. Sci. Data</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1866-3516</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/essd-14-4351-2022</article-id><title-group><article-title>Northern hemispheric atmospheric ethane trends in the upper troposphere and lower stratosphere (2006–2016) with reference to methane and propane</article-title><alt-title>Northern hemispheric atmospheric ethane trends</alt-title>
      </title-group><?xmltex \runningtitle{Northern hemispheric atmospheric ethane trends}?><?xmltex \runningauthor{M. Li et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff3">
          <name><surname>Li</surname><given-names>Mengze</given-names></name>
          <email>mengzel@umich.edu</email>
        <ext-link>https://orcid.org/0000-0003-0620-6301</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Pozzer</surname><given-names>Andrea</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2440-6104</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Lelieveld</surname><given-names>Jos</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6307-3846</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Williams</surname><given-names>Jonathan</given-names></name>
          <email>jonathan.williams@mpic.de</email>
        </contrib>
        <aff id="aff1"><label>1</label><institution>Atmospheric Chemistry Department, Max Planck Institute for Chemistry, Hahn-Meitner-Weg 1,<?xmltex \hack{\break}?> 55128 Mainz, Germany​​​​​​​</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Climate and Atmosphere Research Center, The Cyprus Institute, 1645,
Nicosia, Cyprus</institution>
        </aff>
        <aff id="aff3"><label>a</label><institution>now at: Department of Climate and Space Sciences and Engineering,<?xmltex \hack{\break}?>
University of Michigan, Ann Arbor, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Jonathan Williams (jonathan.williams@mpic.de) and Mengze Li
(mengzel@umich.edu)</corresp></author-notes><pub-date><day>23</day><month>September</month><year>2022</year></pub-date>
      
      <volume>14</volume>
      <issue>9</issue>
      <fpage>4351</fpage><lpage>4364</lpage>
      <history>
        <date date-type="received"><day>21</day><month>July</month><year>2021</year></date>
           <date date-type="rev-request"><day>26</day><month>August</month><year>2021</year></date>
           <date date-type="rev-recd"><day>23</day><month>August</month><year>2022</year></date>
           <date date-type="accepted"><day>29</day><month>August</month><year>2022</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2022 Mengze Li et al.</copyright-statement>
        <copyright-year>2022</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://essd.copernicus.org/articles/14/4351/2022/essd-14-4351-2022.html">This article is available from https://essd.copernicus.org/articles/14/4351/2022/essd-14-4351-2022.html</self-uri><self-uri xlink:href="https://essd.copernicus.org/articles/14/4351/2022/essd-14-4351-2022.pdf">The full text article is available as a PDF file from https://essd.copernicus.org/articles/14/4351/2022/essd-14-4351-2022.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e128">Methane, ethane, and propane are among the most abundant
hydrocarbons in the atmosphere. These compounds have many emission sources
in common and are all primarily removed through OH oxidation. Their mixing
ratios and long-term trends in the upper troposphere and stratosphere are
rarely reported due to the paucity of measurements. In this study, we
present long-term (2006–2016) northern hemispheric ethane, propane, and
methane data from airborne observation in the upper troposphere-lower
stratosphere (UTLS) region from the IAGOS-CARIBIC project. The methane and
propane observations provide additional information for understanding
northern hemispheric ethane trends, which is the major focus of this study.
The linear trends, moving averages, nonlinear trends and monthly variations
of ethane, methane and propane in 2006–2016 are presented for the upper
troposphere and lower stratosphere over 5 regions (whole Northern
Hemisphere, Europe, North America, Asia and the rest of the world). The growth
rates of ethane, methane, and propane in the upper troposphere are <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.24</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M2" 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>,
0.33 % yr<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.78</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M5" 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>, respectively, and in the lower stratosphere they
are <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.27</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M7" 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>, 0.26 % yr<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.91</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M10" 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>, respectively, in 2006–2016. This dataset
is of value to future global ethane budget estimates and the optimization of
current ethane inventories. The data are publicly accessible at <uri>https://doi.org/10.5281/zenodo.6536109</uri> (Li et al., 2022a).</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e256">Ethane (C<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>) is among the most abundant non-methane hydrocarbons
(NMHC) present in the atmosphere. Major sources of ethane to the atmosphere
are via natural gas and oil production (<inline-formula><mml:math id="M13" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 62 %), biofuel
combustion (20 %), and biomass burning (18 %). Interestingly, 84 % of
the total emissions are from the Northern Hemisphere (NH) (Xiao
et al., 2008). Oxidation by hydroxyl (OH) radicals is the major atmospheric
loss process for tropospheric ethane, while in the stratosphere the reaction
with chlorine (Cl) radicals provides an additional loss process (Li et
al., 2018). Due to the seasonal variation of ethane emissions and the
photochemically generated OH radicals, ethane has a clear annual cycle in
mole fractions, showing higher levels in winter. Its global lifetime is
circa 3 months, with a minimum in summer (<inline-formula><mml:math id="M14" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 2 months) and
a maximum in winter (<inline-formula><mml:math id="M15" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 10 months) (Xiao et al., 2008;
Helmig et al., 2016; Li et al., 2018). Ethane oxidation forms acetaldehyde,
which in turn contributes to the formation of peroxyacetyl nitrate (PAN) or
peracetic acid depending on the levels of NO<inline-formula><mml:math id="M16" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
(Millet et al., 2010). The PAN acts as a
reservoir species of nitrogen oxides (NO<inline-formula><mml:math id="M17" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>) and can strongly affect
tropospheric ozone distributions by transporting NO<inline-formula><mml:math id="M18" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> from the point of
emission to remote locations. Furthermore, PAN is known to be a secondary
pollutant like ozone with negative impacts on regional air quality and human
health (Rudolph, 1995; González Abad et al., 2011; Fischer et al.,
2014; Monks et al., 2018; Kort et al., 2016; Tzompa-Sosa et al., 2017;
Dalsøren et al., 2018; Pozzer et al., 2020).</p>
      <p id="d1e326">Many
studies have reported ethane trend analyses based on either ground-based
sampling or Fourier transform infrared spectrometer (FTIS) measurements. A
summary of these studies is shown in Table 1. In the troposphere (Table 1a),
a decreasing trend of ethane during 1986–2008 and an increasing trend during
2009–2014 were reported in the literature. The trends of C<inline-formula><mml:math id="M19" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M20" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>
partial column at four European sites (Jungfraujoch, Zugspitze, Harestua and
Kiruna) during 1996–2006 were between about <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.09</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M22" 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> to <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.11</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M24" 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>
(Angelbratt et al., 2011).
Simpson et al. (2012) concluded a strong global
ethane decline of 21 % over 26 years (1984–2010), with a stronger decline
occurring from 1984 to 1999 (<inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M26" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.7 ppt yr<inline-formula><mml:math id="M27" 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>) than from 2000 to 2010
(<inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.9</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M29" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.3 ppt yr<inline-formula><mml:math id="M30" 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>). Franco et al. (2015)
showed the ethane trend at Jungfraujoch to be <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.92</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M32" 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 1994–2008,
followed by a strong positive trend of 4.9 % yr<inline-formula><mml:math id="M33" 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 2009–2014, which
may be related to the intensifying emissions from shale gas exploitation in
North America. Helmig et al. (2016) calculated a mean ethane
growth rate of 2.9 % yr<inline-formula><mml:math id="M34" 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>–4.7 % yr<inline-formula><mml:math id="M35" 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 2009 to 2014 at 32 NH ground measurement
sites and concluded that North American oil and gas development was the
primary source of the increasing emission of ethane.
Franco et al. (2016) compared the ethane total
column change at six sites across NH for the periods of 2003–2008 and
2009–2014, and also revealed a sharp increase of 3 % yr<inline-formula><mml:math id="M36" 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>–5 % yr<inline-formula><mml:math id="M37" 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 2009–2014
compared with 2003–2008, which was associated with oil and gas industry
emissions. Hausmann et al. (2016) presented a positive
ethane trend of ca. 4.6 % yr<inline-formula><mml:math id="M38" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at Zugspitze (47<inline-formula><mml:math id="M39" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) and a negative
trend of ca. <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at Lauder (45<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S) for 2007–2014, and
inferred an ethane increase from oil and gas emissions of 1–11 Tg yr<inline-formula><mml:math id="M43" 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
2007–2014. Angot et al. (2021) showed an
increasing trend in ethane of ca. 5.6 % yr<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at GEOSummit (73<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N)
for 2010–2014, followed by a temporary pause of ethane growth in 2015–2018.
Sun et al. (2021) presented a negative ethane
trend of <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.6</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M47" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.3 % yr<inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> over 2015–2020 in the densely populated
eastern Chinese city Hefei.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e653">Summary of studies reporting ethane trends in the <bold>(a)</bold> troposphere
and <bold>(b)</bold> stratosphere. Parentheses in first column indicate the locations of
measurements.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <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:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Trends (% yr<inline-formula><mml:math id="M49" 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="col2">Time period</oasis:entry>
         <oasis:entry colname="col3">References</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col3"><bold>(a)</bold> Tropospheric trends </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.09</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.11</mml:mn></mml:mrow></mml:math></inline-formula> (4 European sites)</oasis:entry>
         <oasis:entry colname="col2">1996–2006</oasis:entry>
         <oasis:entry colname="col3">Angelbratt et al. (2011)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.81</mml:mn></mml:mrow></mml:math></inline-formula> (global)</oasis:entry>
         <oasis:entry colname="col2">1986–2010</oasis:entry>
         <oasis:entry colname="col3">Simpson et al. (2012)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.92</mml:mn></mml:mrow></mml:math></inline-formula> (Jungfraujoch, 47<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N)</oasis:entry>
         <oasis:entry colname="col2">1994–2008</oasis:entry>
         <oasis:entry colname="col3">Franco et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4.9 (Jungfraujoch, 47<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N)</oasis:entry>
         <oasis:entry colname="col2">2009–2014</oasis:entry>
         <oasis:entry colname="col3">Franco et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2.9–4.7 (32 ground sites)</oasis:entry>
         <oasis:entry colname="col2">2009–2014</oasis:entry>
         <oasis:entry colname="col3">Helmig et al. (2016)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3–5 (6 sites)</oasis:entry>
         <oasis:entry colname="col2">2009–2014 compared with 2003–2008</oasis:entry>
         <oasis:entry colname="col3">Franco et al. (2016)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ca. 4.6 (Zugspitze, 47<inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N)</oasis:entry>
         <oasis:entry colname="col2">2007–2014</oasis:entry>
         <oasis:entry colname="col3">Hausmann et al. (2016)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ca. <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula> (Lauder, 45<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S)</oasis:entry>
         <oasis:entry colname="col2">2007–2014</oasis:entry>
         <oasis:entry colname="col3">Hausmann et al. (2016)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ca. 5.6 (GEOSummit, 73<inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N)</oasis:entry>
         <oasis:entry colname="col2">Jan 2010–Dec 2014</oasis:entry>
         <oasis:entry colname="col3">Angot et al. (2021)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.6</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M61" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.34 (Hefei, 32<inline-formula><mml:math id="M62" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N)</oasis:entry>
         <oasis:entry colname="col2">2015–2020</oasis:entry>
         <oasis:entry colname="col3">Sun et al. (2021)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col3"><bold>(b)</bold> Stratospheric trends </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.31</mml:mn></mml:mrow></mml:math></inline-formula>–0.43  (stratospheric column)</oasis:entry>
         <oasis:entry colname="col2">2000–2005</oasis:entry>
         <oasis:entry colname="col3">Gardiner et al. (2008)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.75</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M65" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.30  (8–16 km above Jungfraujoch)</oasis:entry>
         <oasis:entry colname="col2">2004–2008</oasis:entry>
         <oasis:entry colname="col3">Franco et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M67" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2 (8–21 km above Jungfraujoch)</oasis:entry>
         <oasis:entry colname="col2">1995–2009</oasis:entry>
         <oasis:entry colname="col3">Helmig et al. (2016)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">9.4 <inline-formula><mml:math id="M68" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.2  (8–16 km above Jungfraujoch)</oasis:entry>
         <oasis:entry colname="col2">2009–2013</oasis:entry>
         <oasis:entry colname="col3">Franco et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">6.0 <inline-formula><mml:math id="M69" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.1 (8–21 km above Jungfraujoch)</oasis:entry>
         <oasis:entry colname="col2">2009–2015</oasis:entry>
         <oasis:entry colname="col3">Helmig et al. (2016)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e1074">In contrast to tropospheric ethane trends, trends in the stratosphere have
been far less investigated. The stratospheric ethane trends were reported to
follow a decreasing trend in 1995–2008 and an increasing trend in 2009–2015
(Table 1b). Gardiner et al. (2008) presented
the annual trend in stratospheric ethane column (relative to year 2000) at
6 sites and these varied from 0.43 to <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.31</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M71" 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> until the year 2005.
Franco et al. (2015) reported ethane trends at
8–16 km measured at Jungfraujoch of <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.75</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M73" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.30 % yr<inline-formula><mml:math id="M74" 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 2004–2008
and 9.4 <inline-formula><mml:math id="M75" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.2 % yr<inline-formula><mml:math id="M76" 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 2009–2013, indicating an <inline-formula><mml:math id="M77" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 11 % sharp increase since 2009. Helmig et al. (2016) showed
that the UTLS column ethane (8–21 km) measured at Jungfraujoch was decreasing
by <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M79" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2 % yr<inline-formula><mml:math id="M80" 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 1995 to 2009, and started a sharp increase
at a rate of 6.0 <inline-formula><mml:math id="M81" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.1 % yr<inline-formula><mml:math id="M82" 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 2009 until 2015, while the
difference in growth rate between the two time periods was smaller for the
mid-tropospheric column (3.6–8 km): <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M84" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 % yr<inline-formula><mml:math id="M85" 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> (1995–2009) and
4.2 <inline-formula><mml:math id="M86" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.0 % yr<inline-formula><mml:math id="M87" 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> (2009–2015).</p>
      <p id="d1e1253">Previous investigations of the distribution, emissions, lifetime, and
atmospheric trends of ethane have been mostly based on surface-based
measurements. These have been either from a regionally focused intensive
field measurement campaign (e.g., Kort et al., 2016) or from networks of remote sampling stations
(e.g., Franco et al., 2015; Helmig et
al., 2016). The advantage of surface sites is that they are easily accessed
and maintained; however, such measurements inevitably reflect the local or
regional situation, and changes in emissions immediately upwind of a
measurement location can affect the results, masking any underlying
long-term global trends. In addition, most ethane measurement sites are
located in high-income countries, such as North America and Europe, while
ethane observations in the rest of the world are sparse. This too hinders
the assessment of global ethane trends, for while one country's emission may
be declining another's could be rapidly increasing. For the aforementioned
reasons, it is advantageous to assess the global long-term ethane trend from
the upper troposphere and even the stratosphere where emissions can be
expected to be well-mixed by atmospheric circulation. In particular, the
trend of ethane in the more isolated and remote stratosphere is of interest
when assessing long-term changes.</p>
      <p id="d1e1256">In this study, we use airborne observations covering the Northern Hemisphere
(NH), including regions without ground measurements. We present long-term
northern hemispheric and geographically delineated (North America, Asia,
Europe, rest of the world) ethane trends in the upper troposphere and lower
stratosphere for the decade 2006–2016 derived using airborne measurements.
In addition, the trends of methane and propane collected from the same
observations are examined to better understand the observed variation of NH
ethane trends, as they have common sources and sinks in the atmosphere. This
study focuses on describing the dataset itself, therefore, an in depth
interpretation is outside the scope. All the data used in this study are
publicly available at <uri>https://doi.org/10.5281/zenodo.6536109</uri> (Li et al., 2022a). These data can
be used for further analysis on global and regional trends, emissions and
lifetime of methane, ethane, and propane, their contributions to climate
change, troposphere-stratosphere exchange, and improvement of current
inventories and atmospheric models.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Material and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>IAGOS-CARIBC observations</title>
      <p id="d1e1277">The In-service Aircraft for a Global Observing
System-Civil Aircraft for the Regular Investigation of the atmosphere Based
on an Instrument Container (IAGOS-CARIBIC) project is an aircraft-based scientific project with the
aim of monitoring long-term global atmospheric physics and chemistry
(Brenninkmeijer et al., 2007). The flight altitudes are at
<inline-formula><mml:math id="M88" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 km, which is in the upper troposphere-lower stratosphere
(UTLS) region. A custom-built whole air sampler collects pressurized air
samples during each flight, and these samples are subsequently measured in
the laboratory with gas chromatography (GC) coupled with three detectors:
GC-ECD (for carbon dioxide, nitrous oxide, and sulfur hexafluoride)
(Schuck et al., 2009), GC-FID for methane and volatile
organic compounds (including ethane and propane) (Baker et
al., 2010), and GC-AED for volatile organic compound
measurements after 2017 (data not used in this study) (Karu et
al., 2021)​​​​​​​. The precision of ethane and
propane data used in this study is 0.2 % and 0.8 %, respectively
(Baker et al., 2010), and of methane 0.17 %
(Schuck et al., 2009). Details regarding operational
and analytical procedures, calibration scales, and quality assurance are
documented in the cited references, and summarized as follows:</p>
      <p id="d1e1287">Each IAGOS-CARIBIC flight normally consists of 4 flight sequences with a
total number of 116 air samples collected by whole air samplers (flasks).
The inlet and outlet of each flask are connected by multiposition valves
which can be automatically switched with programming. A pumping system and
pressure sensors are connected to the inlet valves to guarantee the final
pressure in each flask to be around 4.5 bar. The outlet valves are connected
to ambient air. Prior to pressurization, each flask is flushed with ambient
air 10 times (about 5–10 min). The average filling (sampling) time of
each flask is about 45 s (range 0.5–1.5 min) depending on the flight
altitude, resulting a spatial resolution of 7–21 km.</p>
      <p id="d1e1290">Methane (CH<inline-formula><mml:math id="M89" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>), ethane (C<inline-formula><mml:math id="M90" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M91" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>), and propane (C<inline-formula><mml:math id="M92" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M93" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>)
were measured with an HP 6890 GC with a polymer Porapak Q 3/4” column (10 ft, 100/120 mesh) installed in a single oven. Nitrogen (N<inline-formula><mml:math id="M94" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, purity
99.999 %) was used as carrier gas at a constant flow rate of 50 mL min<inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The
GC was operated at an oven temperature of 220 <inline-formula><mml:math id="M96" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C with flow rates of
synthetic air of 250 mL min<inline-formula><mml:math id="M97" 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 hydrogen of 80 mL min<inline-formula><mml:math id="M98" 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>. Water vapor in samples
was removed by passing through a drying tube at the start of the analysis.
The calibration standards and reference gas cylinders were ordered from NOAA
(for methane), and the National Physical Laboratory (for ethane and propane)
which are certified against the World Meteorological Organization (WMO) Global Atmosphere Watch (GAW) program scale, and they are regularly renewed within every 3 years, which guarantees the stability of calibration gases. Three additional calibration standards samples were measured between samples of each flight sequence in order to monitor the quality of measurements and
reduce uncertainty.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e1396">Data overview of <bold>(a)</bold> geographical distribution, <bold>(b)</bold> altitude, <bold>(c)</bold>
potential vorticity (PV), mole fractions of <bold>(d)</bold> ethane, <bold>(e)</bold> methane and <bold>(f)</bold> propane.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/14/4351/2022/essd-14-4351-2022-f01.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e1426">The upper tropospheric ethane, methane and propane mole fractions
from observations and linear trends over five regions, whole NH upper
troposphere, EUR, NAM, ASI, and RNH.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://essd.copernicus.org/articles/14/4351/2022/essd-14-4351-2022-f02.png"/>

        </fig>

      <p id="d1e1435">In total 6607 NH samples were collected during February 2006–February 2016. The overview of geographical distribution, altitude, PV,
ethane, methane and propane of all 6607 samples collected in 2006–2016 is
shown in Fig. 1. Samples were collected in a broad range of latitudes (0.2–77.4<inline-formula><mml:math id="M99" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) and longitudes (<inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">122.2</mml:mn></mml:mrow></mml:math></inline-formula>–141.8<inline-formula><mml:math id="M101" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) (Fig. 1a). Of the samples 57.9 % were collected in the latitude bands of
30–60<inline-formula><mml:math id="M102" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, 25.6 % were from latitudes 0–30<inline-formula><mml:math id="M103" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, and
16.5 % from latitudes above 60<inline-formula><mml:math id="M104" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. Samples were collected at an
altitude range of 946.4–12,525.1 m, with 98.8 % being collected above
8000 m (Fig. 1b). The PV values of all the samples ranged from <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.32</mml:mn></mml:mrow></mml:math></inline-formula> to 12.17
(Fig. 1c). For the trend analyses in the later sections, samples collected
at altitudes lower than 8000 m and PV <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> PVU were excluded, 74
samples were collected at altitudes lower than 8000 m and a potential
vorticity (PV) <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> potential vorticity unit (PVU), where they can be
largely influenced by surface emissions. Therefore, those samples were
excluded from trend analyses. The remaining 6533 samples were divided into
two categories: upper tropospheric samples (altitude <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">8000</mml:mn></mml:mrow></mml:math></inline-formula> m and PV <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> PVU), and lower stratospheric samples (PV <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> PVU). To
investigate the changes above the tropopause, the lower stratospheric
samples were classified into the lower part of the lower stratosphere (2 PVU <inline-formula><mml:math id="M111" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> PV <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> PVU) and the upper part (PV <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> PVU). All samples were categorized into four regions based on their sampling locations: North
America (NAM), Asia (ASI), Europe (EUR), and rest of Northern Hemisphere
(RNH). The coordinates of each region are shown in Table S1 (in the Supplement) and the geographical
distribution of samples is shown in Fig. S1 (in the Supplement).
In later analyses we used the term “whole NH” to refer to the combination
of all four regions. Table 2 shows the total sample number collected in
2006–2016 of 20 subregions, i.e., 4 categories (upper troposphere, lower
stratosphere, lower stratosphere-lower part, lower stratosphere-upper part)
and 5 regions (whole NH, EUR, NAM, ASI, RNH). The later sections will
further investigate the trends and seasonality of ethane, methane and
propane in these 20 subregions. It is noted that the region designated does
not correspond to the source region, only the geographical location of the
data points.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e1585">Sample number and linear trends of ethane, methane and propane.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right" colsep="1"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Sample number</oasis:entry>
         <oasis:entry rowsep="1" namest="col3" nameend="col8" align="center">Linear trend (2006–2016) </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">C<inline-formula><mml:math id="M115" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M116" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">C<inline-formula><mml:math id="M117" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> H<inline-formula><mml:math id="M118" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">CH<inline-formula><mml:math id="M119" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">CH<inline-formula><mml:math id="M120" 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">C<inline-formula><mml:math id="M121" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M122" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">C<inline-formula><mml:math id="M123" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M124" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(ppt yr<inline-formula><mml:math id="M125" 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="col4">(% yr<inline-formula><mml:math id="M126" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)<inline-formula><mml:math id="M127" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">(ppb yr<inline-formula><mml:math id="M128" 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">(% yr<inline-formula><mml:math id="M129" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)<inline-formula><mml:math id="M130" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">(ppt yr<inline-formula><mml:math id="M131" 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="col8">(% yr<inline-formula><mml:math id="M132" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)<inline-formula><mml:math id="M133" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col8"><bold>(a)</bold> Upper troposphere (Altitude <inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">8000</mml:mn></mml:mrow></mml:math></inline-formula> m, PV <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>) </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Whole NH</oasis:entry>
         <oasis:entry colname="col2">3288</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M136" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.90</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M137" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.24</oasis:entry>
         <oasis:entry colname="col5">5.80</oasis:entry>
         <oasis:entry colname="col6">0.33</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M138" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.70</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M139" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.78</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">EUR</oasis:entry>
         <oasis:entry colname="col2">364</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M140" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>11.10</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M141" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.33</oasis:entry>
         <oasis:entry colname="col5">6.70</oasis:entry>
         <oasis:entry colname="col6">0.37</oasis:entry>
         <oasis:entry colname="col7">3.20</oasis:entry>
         <oasis:entry colname="col8">2.07</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NAM</oasis:entry>
         <oasis:entry colname="col2">1023</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M142" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17.10</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M143" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.33</oasis:entry>
         <oasis:entry colname="col5">6.50</oasis:entry>
         <oasis:entry colname="col6">0.36</oasis:entry>
         <oasis:entry colname="col7">1.10</oasis:entry>
         <oasis:entry colname="col8">0.90</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ASI</oasis:entry>
         <oasis:entry colname="col2">634</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M144" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.90</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M145" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.17</oasis:entry>
         <oasis:entry colname="col5">5.20</oasis:entry>
         <oasis:entry colname="col6">0.29</oasis:entry>
         <oasis:entry colname="col7">0.30</oasis:entry>
         <oasis:entry colname="col8">0.33</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">RNH</oasis:entry>
         <oasis:entry colname="col2">1267</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M146" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>26.70</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M147" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.19</oasis:entry>
         <oasis:entry colname="col5">5.90</oasis:entry>
         <oasis:entry colname="col6">0.33</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M148" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.50</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M149" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.73</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col8"><bold>(b)</bold> Lower stratosphere (PV <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>) </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Whole NH</oasis:entry>
         <oasis:entry colname="col2">3245</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M151" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17.60</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M152" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.27</oasis:entry>
         <oasis:entry colname="col5">4.70</oasis:entry>
         <oasis:entry colname="col6">0.26</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M153" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.60</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M154" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.91</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">EUR</oasis:entry>
         <oasis:entry colname="col2">448</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M155" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.70</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M156" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.61</oasis:entry>
         <oasis:entry colname="col5">6.50</oasis:entry>
         <oasis:entry colname="col6">0.37</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M157" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.60</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M158" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.42</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NAM</oasis:entry>
         <oasis:entry colname="col2">420</oasis:entry>
         <oasis:entry colname="col3">8.50</oasis:entry>
         <oasis:entry colname="col4">2.28</oasis:entry>
         <oasis:entry colname="col5">9.00</oasis:entry>
         <oasis:entry colname="col6">0.51</oasis:entry>
         <oasis:entry colname="col7">4.10</oasis:entry>
         <oasis:entry colname="col8">11.87</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ASI</oasis:entry>
         <oasis:entry colname="col2">324</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M159" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.20</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M160" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.55</oasis:entry>
         <oasis:entry colname="col5">4.20</oasis:entry>
         <oasis:entry colname="col6">0.24</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M161" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.40</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M162" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.55</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">RNH</oasis:entry>
         <oasis:entry colname="col2">2053</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M163" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>22.80</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M164" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.33</oasis:entry>
         <oasis:entry colname="col5">4.00</oasis:entry>
         <oasis:entry colname="col6">0.22</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M165" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.70</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M166" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.70</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col8"><bold>(c)</bold> Lower stratosphere (lower part; 2 <inline-formula><mml:math id="M167" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> PV <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>) </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Whole NH</oasis:entry>
         <oasis:entry colname="col2">1589</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M169" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.90</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M170" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.69</oasis:entry>
         <oasis:entry colname="col5">6.70</oasis:entry>
         <oasis:entry colname="col6">0.38</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M171" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.50</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M172" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.42</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">EUR</oasis:entry>
         <oasis:entry colname="col2">226</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M173" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.00</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M174" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.89</oasis:entry>
         <oasis:entry colname="col5">6.00</oasis:entry>
         <oasis:entry colname="col6">0.33</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M175" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.90</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M176" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.20</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NAM</oasis:entry>
         <oasis:entry colname="col2">154</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M177" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.50</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M178" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.95</oasis:entry>
         <oasis:entry colname="col5">8.90</oasis:entry>
         <oasis:entry colname="col6">0.50</oasis:entry>
         <oasis:entry colname="col7">7.00</oasis:entry>
         <oasis:entry colname="col8">15.05</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ASI</oasis:entry>
         <oasis:entry colname="col2">229</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M179" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.40</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M180" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.25</oasis:entry>
         <oasis:entry colname="col5">5.50</oasis:entry>
         <oasis:entry colname="col6">0.31</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M181" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.10</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M182" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.11</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">RNH</oasis:entry>
         <oasis:entry colname="col2">980</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M183" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>11.30</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M184" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.04</oasis:entry>
         <oasis:entry colname="col5">6.70</oasis:entry>
         <oasis:entry colname="col6">0.38</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M185" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.40</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M186" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.24</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col8"><bold>(d)</bold> Lower stratosphere (upper part; PV <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>) </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Whole NH</oasis:entry>
         <oasis:entry colname="col2">1656</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M188" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.40</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M189" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.99</oasis:entry>
         <oasis:entry colname="col5">5.90</oasis:entry>
         <oasis:entry colname="col6">0.34</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M190" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.90</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M191" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.21</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">EUR</oasis:entry>
         <oasis:entry colname="col2">222</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M192" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.00</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M193" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.53</oasis:entry>
         <oasis:entry colname="col5">3.70</oasis:entry>
         <oasis:entry colname="col6">0.22</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M194" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.10</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M195" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.33</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NAM</oasis:entry>
         <oasis:entry colname="col2">266</oasis:entry>
         <oasis:entry colname="col3">6.70</oasis:entry>
         <oasis:entry colname="col4">3.27</oasis:entry>
         <oasis:entry colname="col5">6.50</oasis:entry>
         <oasis:entry colname="col6">0.37</oasis:entry>
         <oasis:entry colname="col7">0.50</oasis:entry>
         <oasis:entry colname="col8">3.46</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ASI</oasis:entry>
         <oasis:entry colname="col2">95</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M196" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17.50</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M197" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.83</oasis:entry>
         <oasis:entry colname="col5">4.30</oasis:entry>
         <oasis:entry colname="col6">0.25</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M198" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.60</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M199" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12.84</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">RNH</oasis:entry>
         <oasis:entry colname="col2">1073</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M200" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.30</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M201" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.01</oasis:entry>
         <oasis:entry colname="col5">6.80</oasis:entry>
         <oasis:entry colname="col6">0.39</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M202" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.10</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M203" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>24.84</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e1588"><inline-formula><mml:math id="M114" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> Growth rate relative to rolling average of first 20 observations of the
dataset of each region.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Trend analysis</title>
      <p id="d1e2915">We have applied three trend analysis methods in this study: linear fit,
moving average, and nonlinear trend.</p>
      <p id="d1e2918">Linear fit was applied to each subregion throughout the entire time period
(2006–2016). The growth rates of ethane, methane and propane of each
subregion by linear fit are shown in Table 2. These growth rates are
referred as “linear trend” in later sections.</p>
      <p id="d1e2921">Moving average was achieved with Python (version 3.9.7) pandas package
DataFrame.rolling function using a rolling sum with a window length of 20
observations.</p>
      <p id="d1e2924">Nonlinear trend analysis using the “Prophet” algorithm (Taylor and
Letham, 2018). The “Prophet” algorithm has been applied on the analysis
of noncontinuous time-series datasets (Li et al., 2022b), as is the
case for aircraft data. The trend analysis model has four components: trend
(nonperiodic changes), seasonality (periodic changes), holiday effects, and
error (idiosyncratic changes). In this study, effects of holidays are not
included. We used a linear model with change points for the trend component,
and the trend function consists of growth rate, adjustments of growth rate,
and offset parameter. The flexibility of trend (e.g., overfitting or
underfitting) can be adjusted by the parameter “changepoint_prior_scale”. A change point represents the moments where
the data shift directions. The value of the parameter
“changepoint_prior_scale” represents the
strength of change points, more change points will be automatically detected
when the value of this parameter increases. The uncertainty interval was
set at 95 %. The code of trend analysis in Python for this study can be
found in the Supplement. Figure S2 shows the ethane trend and
seasonality at Iceland estimated by the “Prophet” algorithm. Compared with the
trend and seasonality estimated by the NOAA algorithm using the same dataset
in Fig. 1b of Helmig et al. (2016), the seasonality of
ethane is captured by both algorithms and the results match with each other.
The nonlinear trend is estimated as the average value of 10 fitting levels
on the trend (i.e., “changepoint_prior_scale” <inline-formula><mml:math id="M204" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.1, 0.2, 0.3, … , 0.9, 1.0).</p>
      <p id="d1e2935">The uncertainty of the non-linear trend analysis is estimated by resampling
methods. For the dataset of each subregion, we randomly resampled the
dataset 20 times, with each time consisting of 90 % of the samples of the
dataset. We then run the “Prophet” algorithm for each of the 20 sub
datasets, using the average value of 10 fitting levels as the trend of each
subdataset. The range of the 20 trends from the resampled datasets is
assumed as the uncertainty of nonlinear trend analysis for each subregion.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Overview of IAGOS-CARIBC observations</title>
      <p id="d1e2954">Figure 1d, e, f shows the observed ethane, methane and propane mole
fractions, their linear trends over 2006–2016, and their moving average. The
observed mole fractions of ethane, methane and propane are in the range of
5.5–2982.2 ppt, 1579.7–1926.8 ppb, and 1.0–2090.0 ppt,
respectively. Both ethane and propane showed decreasing trends using linear
fit over 2006–2016, and methane had an increasing growth rate over the same
period. The exact growth rates of ethane, methane, and propane are not
reported here; however, they are reported in the later sections where
regional trends are investigated.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Upper tropospheric trends</title>
<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><title>Linear trends in the upper troposphere</title>
      <p id="d1e2972">Figure 2 shows the upper tropospheric observations, linear trends and moving
average of ethane (Fig. 2a, b, c, d, e), methane (Fig. 2f, g, h, i, j) and
propane (Fig. 2k, l, m, n, o) over five regions: the whole Northern Hemisphere
(Fig. 2a, f, k), Europe (Fig. 2b, g, l), North America (Fig. 2c, h, m), Asia (Fig. 2d, i, n), and the rest of the world (Fig. 2e, j, o). The
growth rates of ethane, methane and propane over each region are
shown in Table 2a.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e2977">Nonlinear trends of the upper tropospheric ethane, methane and
propane over five regions (whole NH upper troposphere, EUR, NAM, ASI, and
RNH).</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://essd.copernicus.org/articles/14/4351/2022/essd-14-4351-2022-f03.png"/>

          </fig>

      <p id="d1e2986">The upper tropospheric ethane shows decreasing trends over all regions for
2006–2016, with the most decrease in RNH (<inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.7</mml:mn></mml:mrow></mml:math></inline-formula> ppt yr<inline-formula><mml:math id="M206" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.19</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M208" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and
the least decrease in ASI (<inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6.9</mml:mn></mml:mrow></mml:math></inline-formula> ppt yr<inline-formula><mml:math id="M210" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.17</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M212" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). The whole NH upper
tropospheric ethane decreased at a rate of <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14.9</mml:mn></mml:mrow></mml:math></inline-formula> ppt yr<inline-formula><mml:math id="M214" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.24</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M216" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) over
2006–2016. Unlike the large variations in linear trends of ethane among
regions, the upper tropospheric methane shows more homogeneous increasing
trends among all regions (range 5.2–6.7 ppb yr<inline-formula><mml:math id="M217" 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>, 0.29–0.37 % yr<inline-formula><mml:math id="M218" 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>) due to
its longer atmospheric lifetime. The whole NH upper tropospheric propane
decreased at a rate of <inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula> ppt yr<inline-formula><mml:math id="M220" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.78</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M222" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), which is dominated by the
decrease in RNH (<inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.5</mml:mn></mml:mrow></mml:math></inline-formula> ppt yr<inline-formula><mml:math id="M224" 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>, 14.7 % yr<inline-formula><mml:math id="M225" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). The upper tropospheric propane
mole fractions were increasing at rates of 0.3–3.2 ppt yr<inline-formula><mml:math id="M226" 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> (0.33–2.1 % yr<inline-formula><mml:math id="M227" 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 EUR, ASI and NAM.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><title>Nonlinear trends in the upper troposphere</title>
      <p id="d1e3258">The nonlinear trends of upper tropospheric ethane, methane, and propane at
regional scales, estimated by the “Prophet” algorithm and their associated
uncertainties are shown in Fig. 3. Ethane and methane share common sources
in gas and oil emissions, and ethane, methane, and propane react with OH
radicals as their major sinks in the troposphere.</p>
      <p id="d1e3261">In early 2010, a peak is clearly seen for all three compounds in the
whole NH upper troposphere, which may indicate a decrease in OH radicals.
This peak is also pronounced in ASI for all three compounds; however, the
methane peak in ASI has a large uncertainty.</p>
      <p id="d1e3264">Ethane and propane in EUR are noticeably higher than other regions due to
lower sampling altitudes in EUR (Fig. S3, mean <inline-formula><mml:math id="M228" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 standard
deviation, 10 197 <inline-formula><mml:math id="M229" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 857 m) compared to other regions (NAM: 10 982 <inline-formula><mml:math id="M230" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 557 m; ASI: 10 621 <inline-formula><mml:math id="M231" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 942 m; RNH: 11 054 <inline-formula><mml:math id="M232" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 580 m), whereas methane in EUR is at a similar level to other regions due to methane's longer atmospheric lifetime.</p>
      <p id="d1e3302">Large uncertainties occur when the sampling number was low (<inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula>).
For example, the trend uncertainties for ethane, methane and propane in ASI
were large during January 2009–November 2011, because most ASI samples were collected
during June–October 2010, and there was a 1.5 year gap between January 2009 and June 2010 when no samples were collected (Fig. 2).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e3318">Monthly variations of the upper tropospheric ethane, methane and
propane (2006–2016) over five regions (whole NH, EUR, NAM, ASI and RNH). The
boxes represent 25 %–75 % of all observed mole fractions, the horizontal
lines in the boxes indicate the medians. The whiskers represent the
10 %–90 % range of all the observed mole fractions.</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://essd.copernicus.org/articles/14/4351/2022/essd-14-4351-2022-f04.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <label>3.2.3</label><title>Monthly variation in the upper troposphere</title>
      <p id="d1e3335">The monthly variations of the observed upper tropospheric ethane, methane
and propane mole fractions (2006–2016) over five regions (whole NH, EUR,
NAM, ASI and RNH) are shown in Fig. 4. The observed monthly variations are
driven by the emissions and atmospheric hydroxyl radical (OH) cycle (the
major sink for tropospheric ethane, methane and propane). The whole NH upper
tropospheric ethane, methane and propane mole fractions show peaks in June
and July. The upper tropospheric NAM and EUR ethane mole fractions increase
from October and/or November peaking in April and decrease from April until October.
This is consistent with the FTIR observation
(Franco et al., 2015). The upper tropospheric ASI
and RNH ethane peaks in June, 2 months later than NAM and EUR. Methane
shows small monthly variations in EUR, NAM and RNH, suggesting that the
emissions play a greater role and thus compensate the influence of the
seasonal cycle of the OH radical. The upper tropospheric methane in ASI has
shown higher mole fractions in summer (June–September) due to deep
convection of upward transport of surface air with higher methane into the
upper troposphere during Asian monsoons (Baker et al., 2012). The monthly
variations of propane are more variable compare to ethane due to the shorter
lifetime of propane and probably more variable emission sources of propane.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e3340">Lower stratospheric ethane, methane and propane mole fractions
from observations and linear trends over five regions (whole NH lower
stratosphere, EUR, NAM, ASI, and RNH).</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://essd.copernicus.org/articles/14/4351/2022/essd-14-4351-2022-f05.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Lower stratospheric trends</title>
      <p id="d1e3358">The sources and sinks of ethane, methane and propane
in the stratosphere are different than in the troposphere. There is no known
large emission source of ethane, methane and propane in the stratosphere.
Stratospheric samples have a wider source footprint and are influenced by
troposphere-stratosphere exchange, and chemical reactions. In the
stratosphere the OH radical concentration on average decreases by a factor
of 10 compared with tropospheric OH levels, whereas halogen radicals, e.g.,
chlorine (Cl) and bromine (Br), are more abundant and react faster with
ethane, methane and propane and therefore play a greater relative role in
ethane, methane and propane oxidation (Li et al., 2018). The loss of
ethane in the stratosphere by reaction with Cl radicals is about 40 times
more than that by OH radicals. The reaction rate of ethane with Cl is about 400
times faster than with OH at 250 K (Atkinson et al., 2006) and
stratospheric OH is about 10 times more abundant than stratospheric Cl (Li et al., 2018), whereas the ethane loss in the troposphere by Cl is
negligible compared with by OH due to the small amounts of tropospheric Cl
(<inline-formula><mml:math id="M234" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>:</mml:mo><mml:mi mathvariant="normal">Cl</mml:mi></mml:mrow></mml:math></inline-formula> around 10 000) (Lelieveld et al., 1999; Gromov et al., 2018). The
reaction rates of ethane, methane and propane with Cl radicals are about
<inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:mn mathvariant="normal">572</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1330</mml:mn></mml:mrow></mml:math></inline-formula> at 298 K (Atkinson et al., 1997), indicating that propane and
ethane are more sensitive to the changes in stratospheric Cl radicals.</p>
<sec id="Ch1.S3.SS3.SSS1">
  <label>3.3.1</label><title>Linear trends in the lower stratosphere</title>
      <p id="d1e3396">Figure 5 shows the lower stratospheric observations, linear trends and
moving average of ethane (Fig. 5a, b, c, d, e), methane (Fig. 5f, g, h, i, j) and propane (Fig. 5k, l, m, n, o) over five regions: the whole
Northern Hemisphere (Fig. 5a, f, k), Europe (Fig. 5b, g, l), North
America (Fig. 5c, h, m), Asia (Fig. 5d, i, n), and the rest of the world
(Fig. 5e, j, o). The growth rates of ethane, methane and propane over each
region are shown in Table 2b.</p>
      <p id="d1e3399">The growth rates of lower stratospheric methane over all five regions (range
0.22 % yr<inline-formula><mml:math id="M236" 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>–0.51 % yr<inline-formula><mml:math id="M237" 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>) are consistent with the upper tropospheric methane (range
0.29 % yr<inline-formula><mml:math id="M238" 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>–0.37 % yr<inline-formula><mml:math id="M239" 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>) (Table 2). In contrast, the difference between the lower
stratospheric and upper tropospheric propane growth rates is large (usually
<inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M241" 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>), because propane has a higher sensitivity to
stratospheric chlorine and a shorter lifetime compared to methane. The lower
stratospheric ethane has similar growth rates in the whole NH, EUR and RNH
compared with the upper troposphere, whereas differences occurs in NAM
and ASI. The Asian summer monsoon may be a reason for the different
growth rates in ASI, although further investigation on the change in
troposphere-stratosphere mixing and stratospheric chlorine in NAM is needed.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <label>3.3.2</label><title>Nonlinear trends in the lower stratosphere</title>
      <p id="d1e3481">The observed lower stratospheric ethane over the whole NH shows two
exceptional peaks in 2010 and 2013 (Fig. 6a). The peak in 2010 is not
seen at regional levels (NAM, ASI, EUR), which suggests global upward
transport of the upper tropospheric ethane (peaking in 2010–2011) into the
stratosphere and the important contribution from RNH. The second peak in
2013 can be due to the regional emission transport from the troposphere into
the lowermost stratosphere as such a peak is observed simultaneously over
NAM, ASI and RNH, or due to changes in stratospheric sinks (e.g., OH or Cl
radical concentration) as such peaks are seen for all three compounds.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e3486">Nonlinear trends of the lower stratospheric ethane, methane and
propane over five regions (whole NH lower stratosphere, EUR, NAM, ASI, and
RNH).</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://essd.copernicus.org/articles/14/4351/2022/essd-14-4351-2022-f06.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e3497">Monthly variations of the lower stratospheric ethane, methane and
propane (2006–2016) over five regions (whole NH, EUR, NAM, ASI and RNH). The
boxes represent 25 %–75 % of all observed mole fractions, the horizontal
lines in the boxes indicate the medians. The whiskers represent the
10 %–90 % range of all the observed mole fractions.​​​​​​​</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://essd.copernicus.org/articles/14/4351/2022/essd-14-4351-2022-f07.png"/>

          </fig>

      <p id="d1e3507">Methane trends in the lower stratosphere show large variability during
2010–2014 over the whole NH, ASI and RNH, similar variability is present in
the upper tropospheric methane trends (Fig. 3), indicating a fluctuated
upwards transport of surface emissions into the upper troposphere and
stratosphere.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS3">
  <label>3.3.3</label><title>Monthly variation in the lower stratosphere</title>
      <p id="d1e3518">The lower stratospheric ethane mole fractions do not show strong
seasonality (Fig. 7), except that NAM has a seasonal trend with a 1-month later shift
compared to the upper tropospheric NAM trend. The lower stratospheric ASI
ethane shows the same timing peak in June with upper tropospheric ASI ethane,
which potentially indicates the intrusion of tropospheric air masses into
the stratosphere due to Asian summer monsoons (Xiong et al., 2009; Park
et al., 2007). There is little seasonality evident in the ethane mole
fractions in the stratosphere. Since stratospheric aircraft measurement
campaigns are generally of short duration (several weeks), a direct
comparison to previous data is not possible; however, vertical column data
obtained by ground-based FTIR for 8–21 km reported by Helmig et
al. (2016) also showed no clear seasonal variation.</p>
      <p id="d1e3521">The lower stratospheric methane is observed to reach the lowest in March–May
over all five regions. Propane in the lower stratosphere reaches the highest
in June–August over most regions except ASI.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS4">
  <label>3.3.4</label><title>Trends in the lower and upper parts of the lower stratosphere</title>
      <p id="d1e3533">Because the potential vorticity of the lower stratospheric samples has a
broad range (2–12.2 PVU), the lower stratosphere is further classified into
two parts: lower part (2 <inline-formula><mml:math id="M242" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> PV <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> PVU) and upper part (PV <inline-formula><mml:math id="M244" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 6 PVU), to investigate the changes of trends within the lower stratosphere. It
is noted that the sample number of each subregion becomes smaller (95–1656
samples per region; Table 2) by applying this classification, thus the
trends have larger uncertainties and should be interpreted with caution.</p>
      <p id="d1e3560">The linear trends of methane over all five regions, and ethane over four
regions (except ASI) show little difference between the lower and upper
parts of the lower stratosphere (Table 2c, d; Figs. S4–S5). Larger
differences (Delta <inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> %) in growth rates of ethane in ASI, and
propane over all five regions are found.</p>
      <p id="d1e3573">The nonlinear trends of ethane, methane and propane in the upper and lower
parts of the lower stratosphere are similar over most regions (Figs. S6–S7). A significant difference occurs for ethane in ASI during 2006–2013
when the lower part ethane had a sharp increase in 2006–2007, then followed by a plateau in 2007–2013, whereas the upper part ethane had a continuous
decrease in 2006–2013. It is noted that the sample number in upper part of
the lower stratosphere over ASI is the minimum among all the subregions
(Table 2).</p>
</sec>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Limitations and implications</title>
      <p id="d1e3585">Despite the usefulness, uniqueness and high quality of our datasets, several
limitations of our study should be noted. (a) Representativeness of the
presented trends. Although our flight sampling is frequent and covers a
large area of the NH, the spatial and temporal distributions of our samples
are not even. This may cause the trends to be influenced by specific regions
where more samples were collected. (b) Nature of samples. Our samples were
collected in the UTLS region and can be influenced by atmospheric transport
(e.g., troposphere-stratosphere exchange), surface sources, and chemical
destruction processes. Therefore, the trends represent the net effects of
these factors making the interpretation with respect to single factors
difficult. It is noted that our aircraft samples have significantly
different spatial distributions compared with the studies summarized in the
Introduction section; therefore, any comparison should be carefully made.
When comparing surface and airborne datasets from multiple locations to
assess global atmospheric changes, it will become increasingly important to
ensure comparability of data quality. A process that has begun through the
grounding of a World Calibration Center for VOCs, although this dataset
predates this initiative. (c) PV choice of identifying upper tropospheric
and stratospheric samples. In this study, we used PV <inline-formula><mml:math id="M246" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2 to define the
tropopause, whereas other approaches exist. It is shown that on large space
and time scales in the extratropics, the WMO thermal tropopause corresponds
to a surface of constant potential vorticity (PV), although there exist
systematic differences on smaller scales (Stohl et al., 2003; Wirth,
2000). (d) Growth rates are different when choosing different time
periods. Excluding data collected in 2009 and 2010 when trend anomalies were
seen in some regions shows 10.7 % (ethane), 3.1 % (methane), and
24.7 % (propane) differences (median) (Table S2) compared with the growth
rates calculated with all 2006–2016 data (Table 2). The differences are
associated with the atmospheric variability of trace gases, but not the
quality of data. (e) Selection of regions. Regions of interest are selected
at the continental scale to ensure enough numbers of observations (<inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">95</mml:mn></mml:mrow></mml:math></inline-formula>) in each region. The spatial variability within each region is considered
homogeneous. This might introduce uncertainty but its quantification
requires more observations or model simulations. The typical transport time
from surface to tropopause is about 1–3 months and assuming a wind speed of
1 m s<inline-formula><mml:math id="M248" 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> air travels 2592–7776 km within 1–3 months, which is larger than then continental coverage. Thus the assumption of homogeneous spatial variability at a continental scale may not have large uncertainty.</p>
      <p id="d1e3617"><italic>Implications</italic>. (a) Observations of ethane, methane and propane were
often restricted at a regional scale or short duration. We have presented long-term (10 years) airborne observations of ethane, methane and propane in
the UTLS region at a northern hemispheric scale. This dataset is unique and
can be used to examine long-term troposphere-stratosphere exchange, chemical
and dynamical changes in the UTLS region, and improve model performance. To
the best of our knowledge, such long-term aircraft observations are only
available from the IAGOS-CARIBIC project (our study) and the CONTRAIL project
(Machida et al., 2008; Sawa et al., 2015). (b) The “Prophet” algorithm
is an open source software, and suitable for noncontinuous time series
datasets. Unlike the commonly used linear fit approach for trend analysis,
the “Prophet” algorithm is robust to missing data and the influence from
outliers is minimized. It captures the interannual variability better and
is not influenced by the time period of choice. (c) Other analysis
approaches, such as machine learning techniques, can be used on our dataset to enlarge the spatial and temporal distributions. Combining our dataset with
space-borne observations will provide a better view of global distributions
and trends of trace gases.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Data availability</title>
      <p id="d1e3631">The IAGOS-CARIBIC observational data for ethane, methane, and propane in the
period February 2006–February 2016 can be accessed at <ext-link xlink:href="https://doi.org/10.5281/zenodo.6536109" ext-link-type="DOI">10.5281/zenodo.6536109</ext-link> (Li et al., 2022a).
Co-authorship may be appropriate if the IAGOS-CARIBIC data are essential for
a result or conclusion of a publication.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e3646">In this study, we present upper tropospheric and lower stratospheric ethane
trends from airborne observations over the period 2006–2016 with reference
to methane and propane. The linear trends, moving averages, nonlinear
trends and monthly variations of ethane, methane and propane were examined
for 20 subregions (4 categories: the upper troposphere, the lower
stratosphere, the lower part of the lower stratosphere, and the upper part
of the lower stratosphere; and 5 regions under each category: whole NH, EUR,
NAM, ASI and RNH). The linear trends of methane were similar in all
subregions (range 0.22 % yr<inline-formula><mml:math id="M249" 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>–0.51 % yr<inline-formula><mml:math id="M250" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> increase), whereas ethane and propane
had more variable trends due to their shorter atmospheric lifetime. The
observed annual rates of change in atmospheric abundances of ethane,
methane, and propane over 2006–2016 in the upper troposphere are <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.24</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M252" 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>,
0.33 % yr<inline-formula><mml:math id="M253" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and <inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.78</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M255" 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>, respectively, and in the lower stratosphere are
<inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.27</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M257" 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>, 0.26 % yr<inline-formula><mml:math id="M258" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.91</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M260" 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>, respectively. The dataset is publicly
available and is valuable for future studies to evaluate and improve
atmospheric models and emission inventories, and understand long-term
changes in troposphere-stratosphere exchange and in sources and sinks of
ethane, methane and propane.</p>
</sec>

      
      </body>
    <back><app-group>
        <supplementary-material position="anchor"><p id="d1e3786">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/essd-14-4351-2022-supplement" xlink:title="pdf">https://doi.org/10.5194/essd-14-4351-2022-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e3797">ML and JW developed the idea of this study. ML wrote the first draft
of the manuscript. All authors (ML, JW, AP, JL) contributed to discussing and revising the
manuscript.​​​​​​​</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e3803">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e3809">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3815">We thank Tobias Sattler for contributing to the initial idea of this study.
We thank Python, Esri and Figdraw for providing statistical and plotting
tools. We thank the editor Nellie Elguindi and three anonymous reviewers.</p></ack><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e3820">This paper was edited by Nellie Elguindi and reviewed by three anonymous referees.</p>
  </notes><ref-list>
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