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  <front>
    <journal-meta><journal-id journal-id-type="publisher">AMT</journal-id><journal-title-group>
    <journal-title>Atmospheric Measurement Techniques</journal-title>
    <abbrev-journal-title abbrev-type="publisher">AMT</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Meas. Tech.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1867-8548</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/amt-15-6739-2022</article-id><title-group><article-title>Retrieval of atmospheric CFC-11 and CFC-12 from high-resolution FTIR
observations at Hefei and comparisons with other independent datasets</article-title><alt-title>Retrieval of CFC-11 and CFC-12 from high-resolution FTIR observations</alt-title>
      </title-group><?xmltex \runningtitle{Retrieval of CFC-11 and CFC-12 from high-resolution FTIR observations}?><?xmltex \runningauthor{X.~Zeng et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Zeng</surname><given-names>Xiangyu</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Wang</surname><given-names>Wei</given-names></name>
          <email>wwang@aiofm.ac.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff3 aff4 aff5 aff6">
          <name><surname>Liu</surname><given-names>Cheng</given-names></name>
          <email>chliu81@ustc.edu.cn</email>
        <ext-link>https://orcid.org/0000-0002-3759-9219</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff7">
          <name><surname>Shan</surname><given-names>Changgong</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Xie</surname><given-names>Yu</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Wu</surname><given-names>Peng</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Zhu</surname><given-names>Qianqian</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9 aff10">
          <name><surname>Zhou</surname><given-names>Minqiang</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3427-5873</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10">
          <name><surname>De Mazière</surname><given-names>Martine</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff11">
          <name><surname>Mahieu</surname><given-names>Emmanuel</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5251-0286</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff11">
          <name><surname>Pardo Cantos</surname><given-names>Irene</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff12">
          <name><surname>Makkor</surname><given-names>Jamal</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff13">
          <name><surname>Polyakov</surname><given-names>Alexander</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7406-8986</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Key Laboratory of Environmental Optics and Technology, Anhui Institute of Optics and Fine Mechanics, Hefei Institutes of Physical Science, Chinese Academy of Sciences, Hefei, 230031, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>University of Science and Technology of China, Hefei, 230026, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Precision Machinery and Precision Instrumentation, University of Science and <?xmltex \hack{\break}?>Technology of China, Hefei, 230026, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Center for Excellence in Regional Atmospheric Environment, Institute of Urban Environment, Chinese Academy of Sciences, Xiamen, 361021, China</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Key Laboratory of Precision Scientific Instrumentation of Anhui Higher Education Institutes, University of Science  <?xmltex \hack{\break}?>and Technology of China, Hefei, 230026, China</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Anhui Province Key Laboratory of Polar Environment and Global Change, University of Science and <?xmltex \hack{\break}?> Technology of China, Hefei, 230026, China</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>State Environmental Protection Key Laboratory of Sources and Control of Air Pollution Complex, Beijing, 100084, China</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Department of Automation, Hefei University, Hefei, 230601, China</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, 100029, China</institution>
        </aff>
        <aff id="aff10"><label>10</label><institution>Royal Belgian Institute for Space Aeronomy, Brussels, 1180, Belgium</institution>
        </aff>
        <aff id="aff11"><label>11</label><institution>Department of Astrophysics, Geophysics and Oceanography, UR SPHERES, University of Liège, Liège, 4000, Belgium</institution>
        </aff>
        <aff id="aff12"><label>12</label><institution>Institute of Environmental Physics, University of Bremen, Bremen, 28359, Germany</institution>
        </aff>
        <aff id="aff13"><label>13</label><institution>Faculty of Physics, Saint Petersburg State University, Saint Petersburg, 199034, Russia</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Wei Wang (wwang@aiofm.ac.cn) and Cheng Liu (chliu81@ustc.edu.cn)</corresp></author-notes><pub-date><day>22</day><month>November</month><year>2022</year></pub-date>
      
      <volume>15</volume>
      <issue>22</issue>
      <fpage>6739</fpage><lpage>6754</lpage>
      <history>
        <date date-type="received"><day>26</day><month>July</month><year>2022</year></date>
           <date date-type="rev-request"><day>4</day><month>August</month><year>2022</year></date>
           <date date-type="rev-recd"><day>18</day><month>October</month><year>2022</year></date>
           <date date-type="accepted"><day>21</day><month>October</month><year>2022</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2022 Xiangyu Zeng 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://amt.copernicus.org/articles/15/6739/2022/amt-15-6739-2022.html">This article is available from https://amt.copernicus.org/articles/15/6739/2022/amt-15-6739-2022.html</self-uri><self-uri xlink:href="https://amt.copernicus.org/articles/15/6739/2022/amt-15-6739-2022.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/15/6739/2022/amt-15-6739-2022.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e283">Synthetic halogenated organic chlorofluorocarbons (CFCs) play an
important role in stratospheric ozone depletion and contribute significantly
to the greenhouse effect. In this work, the mid-infrared solar spectra
measured by ground-based high-resolution Fourier transform infrared
spectroscopy (FTIR) were used to retrieve atmospheric CFC-11 (CCl<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>F)
and CFC-12 (CCl<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>F<inline-formula><mml:math id="M3" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) at Hefei, China. The CFC-11 columns observed
from January 2017 to December 2020 and CFC-12 columns from September 2015 to
December 2020 show a similar annual decreasing trend and seasonal cycle,
with an annual rate of <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.47</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</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> and <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.68</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</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>, respectively. So the decline rate of CFC-11 is
significantly lower than that of CFC-12. CFC-11 total columns were higher in
summer, and CFC-12 total columns were higher in summer and autumn. Both
CFC-11 and CFC-12 total columns reached the lowest in spring. Further, FTIR
data of NDACC (Network for the Detection of Atmospheric Composition Change)
candidate station Hefei were compared with the ACE-FTS (Atmospheric Chemistry Experiment Fourier transform spectrometer) satellite data, WACCM
(Whole Atmosphere Community Climate Model) data, and the data from other
NDACC-IRWG (InfraRed Working Group) stations (St. Petersburg, Jungfraujoch, and Réunion). The
mean relative difference between the vertical profiles observed by FTIR and
ACE-FTS is <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.3</mml:mn></mml:mrow></mml:math></inline-formula> % and <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula> % for CFC-11 and CFC-12 for an altitude of 5.5 to 17.5 km, respectively. The results demonstrate that our FTIR data agree relatively well with the ACE-FTS satellite data. The annual decreasing rate of CFC-11 measured from ACE-FTS and calculated by WACCM is <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.15</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.22</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M11" 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="M12" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.68</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.18</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M13" 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 interannual decreasing rates
of atmospheric CFC-11 obtained from ACE-FTS and WACCM data are higher than
that from FTIR observations. Also, the annual decreasing rate of CFC-12 from
ACE-FTS and WACCM is <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.85</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.15</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M15" 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="M16" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.81</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M17" 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, close to the corresponding values from the FTIR measurements. The total columns of CFC-11 and CFC-12 at the Hefei and St. Petersburg stations are significantly higher than those at the Jungfraujoch and Réunion (Maïdo) stations, and the two values reached the maximum in local summer or autumn and the minimum in local spring or winter at the four stations. The seasonal variability at the three stations in the Northern Hemisphere is higher than that at the station in the Southern Hemisphere.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e506">Synthetic halogenated organic chlorofluorocarbons (CFCs) have been widely used in industry as refrigerants, foam-blowing agents, and propellants, due to their stable and non-toxic chemical properties (Mcculloch et al., 2003). The photolysis of CFCs in the stratosphere significantly causes the depletion of stratospheric ozone, so CFC-11 (CCl<inline-formula><mml:math id="M18" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>F) and CFC-12
(CCl<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>F<inline-formula><mml:math id="M20" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) are currently classified as important ozone-depleting
substances (ODSs) (Molina and Rowland, 1974). With the long atmospheric lifetime, about 52 years for CFC-11 and 102 years for CFC-12, they can be transported to the polar region and accumulated to cause polar ozone depletion (WMO, 2018). CFCs also have high global warming potentials (GWPs), being regarded as greenhouse gases (Molina et al., 2009). GWP refers to the ratio of radiative forcing for a given mass of a substance relative to CO<inline-formula><mml:math id="M21" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions of the same mass over a given time (Fang et al., 2018). The GWPs of CFC-11 and CFC-12 are reported to be 5160 and 10 300 for 100 years (WMO, 2018).</p>
      <p id="d1e545">The Montreal Protocol on Substances that Deplete the Ozone Layer came into
effect in 1989, for the limitation of ozone-depleting substances in industrial
products and to avoid their continued damage to the Earth's ozone layer.
China, as one of the countries with the highest CFCs emissions, has
committed to phasing out CFC production by 2010 (Wan et al., 2009; Wu
et al., 2018). The atmospheric concentrations of CFCs declined slowly, and
the ozone layer began to recover gradually under the implementation of the
ban. However, there was a slowdown in the global declining CFC-11 concentrations after 2012 from the observations at remote measurement sites,
and the difference between expectations of accelerated rates of decline and
observations widened from 2012 to 2017, suggesting unreported new productions of CFC-11 (Montzka et al., 2018). The atmospheric in situ observations at Gosan, South Korea, and Hateruma, Japan, combined with the simulations of atmospheric chemical transport models showed that there was an increase in CFC-11 emissions around Shandong and Hebei provinces in China from 2014 to 2017 (Rigby et al., 2019). Also, a study based on a Bayesian parameter estimation (BPE) model estimates that global unexpected CFC-11 and CFC-12 emissions reached 23.2 and 18.3 Gg 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> during 2014–2016 (Lickley et al., 2021). Meanwhile, the atmospheric measurements and simulations at Mauna Loa Observatory, Gosan, South Korea, and Hateruma, Japan, show that CFC-11 emissions in China decreased since 2019 and the decline in the global average CFC-11 concentrations accelerated (Montzka et al., 2021; Park et al., 2021).</p>
      <p id="d1e560">Studying the temporal–spatial distribution and variations in CFCs in the
atmosphere is of great significance for improving understanding and
implementing policies to reduce stratospheric ozone depletion and greenhouse
gas emissions. In recent decades, in situ and remote-sensing techniques have
been used to monitor CFCs (Khosrawi et al., 2004; Eckert et al., 2016;
Kellmann et al., 2012; Lin et al., 2019; Zhang et al., 2011). The surface
in situ measurements monitor long-term trend and seasonal variations in the
target gases, such as those in the Advanced Global Atmospheric Gases
Experiment (AGAGE), the World Data Centre for Greenhouse Gases (WDCGG),
NOAA's Halocarbons &amp; other Atmospheric Trace Species Group (HATS)
(Rigby et al., 2013). In the last decade, the in situ CFC measurements were also performed in many Chinese cities and suburbs (G. Zhang et al., 2017; Lin et al., 2019; Zhen et al., 2020; Yang et al., 2021; Yi et al., 2021; Benish et al., 2021). In situ observations provide highly precise atmospheric concentration data. Yi et al. (2021) measured the annual mean mixing ratios of major halocarbons in five different cities in China from 2009 to 2019 for 4–7 d each month, and the CFC-11 and CFC-12 concentrations in the atmosphere showed a downward trend. Benish et al. (2021) collected air samples in 500–3500 m by aircraft above Hebei Province in 2016 and
found atmospheric CFC-11 and CFC-12 were higher than global tropospheric
background levels and deduced that CFC-11 and CFC-12 has new production in
eastern China.</p>
      <p id="d1e563">Satellite remote-sensing techniques, such as the High Resolution Dynamics Limb
Sounder (HIRDLS, the vertical resolution is 1 km), the Improved Limb Atmospheric
Spectrometer (ILAS, the vertical resolution is 1 km), the collocated
Michelson Interferometer for Passive Atmospheric Sounding (MIPAS, the
vertical resolution is 4 km), and the Atmospheric Chemistry Experiment Fourier
transform spectrometer (ACE-FTS, the vertical resolution is 2–2.5 km), also
play an important role in measuring the global distribution of CFCs (Eckert et al., 2016; Hoffmann et al., 2014; Kellmann et al., 2012; Khosrawi et al., 2004; Oshchepkov et al., 2006; Tegtmeier et al., 2016; Steffen et al., 2019). In addition, in the study of Chen et al. (2020), global CFC-11 surface concentration and trend are observed by the Atmospheric Infrared Sounder (AIRS, the spatial resolution is 30<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude by 10<inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude) aboard the NASA Aqua satellite. Garkusha et al. (2017) reported that the modern satellite Fourier spectrometer IRFS-2 instrument has the capability to
retrieve CFC-11 and CFC-12 in the information gathering mode. Airborne
remote-sensing instruments are also used to measure atmospheric CFCs, such
as limb-imaging infrared FTS (Fourier transform spectrometer) GLORIA
(Gimballed Limb Observer for Radiance Imaging of the Atmosphere, the
vertical resolution is 0.5–2 km) and limb-scanning infrared FTS MIPAS-STR
(Michelson Interferometer for Passive Atmospheric Sounding – STRatospheric
aircraft, the vertical resolution is 1–2 km) (Woiwode et al., 2012;
Johansson et al., 2018; Woiwode et al., 2015). However, due to the low
sensitivity and large measurement error near the surface, satellite and airborne
remote-sensing data need to be verified by ground-based observations
(Eckert et al., 2016).</p>
      <p id="d1e585">The ground-based remote-sensing Fourier transform infrared (FTIR)
spectroscopy is used to detect the vertical profile and long-term trend of
trace gases with high precision (Godin-Beekmann, 2009; De Mazière et al., 2018). Notholt (1994) measured atmospheric CFCs in the polar night by
ground-based FTIR with the moon as the light source in the 1990s.
Mahieu et al. (2010) measured the CFC-11, CFC-12, and HCFC-22 ((CHClF2)) total columns and annual trends above the Jungfraujoch station, Switzerland, by FTIR technique. Zhou et al. (2016) observed the vertical profiles and the annual variations in CFC-11, CFC-12, and HCFC-22 at the Réunion (St Denis and Maïdo) FTIR sites from 2004 to 2016 and compared them with MIPAS/ENVISAT satellite data. Prignon et al. (2019) utilized the Tikhonov regularization strategy to improve the retrieval of atmosphere HCFC-22 vertical profiles, observed by FTIR from 1988 to 2017 above Jungfraujoch. Polyakov et al. (2021) refined the infrared solar radiation retrieval strategy to estimate the column-averaged dry-air mole fractions of CFC-11, CFC-12, and HCFC-22 at St. Petersburg. Pardo Cantos et al. (2022) analyzed the trend of CFC-11
total columns in Jungfraujoch station and Lauder station in the last 20 years.
Jungfraujoch, Réunion, St. Petersburg, and Lauder FTIR stations have joined
NDACC-IRWG (Network for the Detection of Atmospheric Composition Change
– InfraRed Working Group), and Hefei is a candidate NDACC-IRWG station now.</p>
      <p id="d1e588">The objective of this paper is to obtain the CFC-11 and CFC-12 total columns
from the solar spectra based on ground-based FTIR spectroscopy and compare them with the ACE-FTS satellite data, Whole Atmosphere Community Climate Model (WACCM) data, and the data from other
NDACC-IRWG stations (St. Petersburg, Jungfraujoch, and Réunion). Section 2 describes the Hefei FTIR observing site, the retrieval parameters, and retrieval strategy. Then we present the retrieval results and discuss the
interannual variability and seasonality of CFC-11 and CFC-12 and compare
the data with the ACE-FTS satellite data, the WACCM data, and the data from
other NDACC-IRWG stations in Sect. 3. A conclusion is drawn in Sect. 4.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Measurement methods of atmospheric CFC-11 and CFC-12</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Observing site and instruments</title>
      <p id="d1e606">The Hefei ground-based solar FTIR remote-sensing site (31.91<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
117.17<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E and 29 m above sea level) is located at the Anhui
Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, in the
northwestern rural area of Hefei city in eastern China, adjacent to a lake
in a flat terrain. Hefei site has followed the standard measurements of
NDACC-IRWG since 2015. Hefei site is not an NDACC-IRWG station now but is
applying to join the NDACC-IRWG. The locations of Hefei station and the other
three NDACC-IRWG stations are shown in Fig. 1. The instruments include a
high-resolution Fourier transform infrared Bruker IFS 125HR spectrometer and
a solar tracker (A547N) installed on the roof. A meteorological station
(Zeno, coastal environmental systems, USA) on the roof records surface
pressure, temperature, relative humidity, wind speed, and other
meteorological information since September 2015 (Yin et al., 2020; Zhang
et al., 2020; Shan et al., 2021a, b; Wang et al., 2017; Yin et al., 2019). The spectrometer uses a liquid-nitrogen-cooled mercury cadmium telluride (MCT) detector
combined with a KBr beamsplitter to record the mid-infrared spectra. We
replaced the CaF<inline-formula><mml:math id="M27" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> incoming light window with a KCl window for the FTIR
spectrometer in December 2016, which increased the covered spectral range
from greater than 1000 cm<inline-formula><mml:math id="M28" 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 greater than 700 cm<inline-formula><mml:math id="M29" 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
mid-infrared solar absorption spectra covering about 800–1200 cm<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> are
used to retrieve the target gases in this study, with a spectral resolution
of 0.005 cm<inline-formula><mml:math id="M31" 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 an optical path difference (OPD) of 180 cm.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e687">Location of the three participating NDACC-IRWG stations and Hefei
station.</p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/6739/2022/amt-15-6739-2022-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Retrieval parameter setting</title>
      <p id="d1e704">Table 1 lists the parameters used for CFC-11 and CFC-12 retrievals. The
retrieval window of CFC-11 is 830–860 cm<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>, and the spectral window
centered at 1161 cm<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> was chosen to retrieve atmospheric CFC-12 (Zhou et al., 2016; Polyakov et al., 2021). Atmospheric parameters, such
as H<inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, temperature, and pressure profiles are adopted from National
Centers for Environment Protection (NCEP) reanalysis data (Kalnay et al., 1996). The a priori profiles of CFCs and interfering gases except H<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O are derived from WACCM version 6, and the a priori profiles of CFC-11 and CFC-12 are from the mean of 2017–2020 and 2015–2020 WACCM V6 data, respectively. The spectroscopic line parameters for CFC-11, CFC-12, and COCl<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> are calculated based on empirical pseudo-line lists (PLLs), and the line parameters of other interfering gases are provided by HITRAN 2012 (Rothman et al., 2013). Pseudo-line lists are created by Geoff Toon (NASA-JPL, <uri>http://mark4sun.jpl.nasa.gov/pseudo.html</uri>, last access: 3 January 2022), obtained by spectral measurement and fitting to laboratory transmission spectra. According to the study of Polyakov et al. (2021), because the CFC-11 retrieval window is wide, it is necessary to consider the influence of the increase in the thickness of amorphous water ice in the instrument caused by water vapor in the atmosphere. Therefore, the curvature is considered to be used in the retrieval and the uncertainty is set to <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. In the microwindow, there are some low-frequency oscillations of the baseline caused by optical instruments. For a wide retrieval spectral microwindow, such as for CFC-11, this shape can affect the fitting of the spectrum. Therefore, we added zero level offset (zshift) correction and beam correction in the retrieval parameters of CFC-11. The a priori value of zshift is set to 0, and the uncertainty is set to 0.1. The channel model is selected as the interferogram perturbation (IP) model (Zhou et al., 2016). The beam correction parameters, such as amplitude, period, phase, and slope, are set to 0.003, 0.93, 845, and 0.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e779">Retrieval parameters used for CFC-11 and CFC-12.</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="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Species</oasis:entry>
         <oasis:entry colname="col2">CFC-11</oasis:entry>
         <oasis:entry colname="col3">CFC-12</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Spectral range (cm<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>)</oasis:entry>
         <oasis:entry colname="col2">830–860</oasis:entry>
         <oasis:entry colname="col3">1160.2–1161.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Interfering species</oasis:entry>
         <oasis:entry colname="col2">H<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, COCl<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, HNO<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, CO<inline-formula><mml:math id="M42" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math id="M43" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">H<inline-formula><mml:math id="M44" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, O<inline-formula><mml:math id="M45" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, N<inline-formula><mml:math id="M46" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, CH<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M48" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M49" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>, and H<inline-formula><mml:math id="M50" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O profiles</oasis:entry>
         <oasis:entry colname="col2">NCEP</oasis:entry>
         <oasis:entry colname="col3">NCEP</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">A priori profile</oasis:entry>
         <oasis:entry colname="col2">WACCM V6</oasis:entry>
         <oasis:entry colname="col3">WACCM V6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Spectroscopy</oasis:entry>
         <oasis:entry colname="col2">PLL, HITRAN 2012</oasis:entry>
         <oasis:entry colname="col3">PLL, HITRAN 2012</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Background</oasis:entry>
         <oasis:entry colname="col2">slope, curvature, zshift, beam</oasis:entry>
         <oasis:entry colname="col3">slope</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Retrieval strategy</title>
      <p id="d1e1005">The total columns and vertical profiles of CFC-11 and CFC-12 are retrieved
by the SFIT4 (version 0.9.4.4) algorithm, which implements the optimal
estimation method (OEM) (Rodgers, 2000). The vector of measurement
<inline-formula><mml:math id="M51" display="inline"><mml:mi mathvariant="bold-italic">y</mml:mi></mml:math></inline-formula>  is described by the forward model <inline-formula><mml:math id="M52" display="inline"><mml:mi mathvariant="bold">F</mml:mi></mml:math></inline-formula> and the
state vector <inline-formula><mml:math id="M53" display="inline"><mml:mi mathvariant="bold-italic">x</mml:mi></mml:math></inline-formula> as
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M54" display="block"><mml:mrow><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="bold">F</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="bold-italic">b</mml:mi></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:mi mathvariant="bold-italic">ε</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          The forward model <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mi mathvariant="bold">F</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="bold-italic">b</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> relates the true state of the atmosphere and the observation system, where <inline-formula><mml:math id="M56" display="inline"><mml:mi mathvariant="bold-italic">ε</mml:mi></mml:math></inline-formula> represents the random noise of measurement and the uncertainty of retrieval, state vector <inline-formula><mml:math id="M57" display="inline"><mml:mi mathvariant="bold-italic">x</mml:mi></mml:math></inline-formula> is unknown, containing vertical profiles of gas and instrument-related parameters to be retrieved, <inline-formula><mml:math id="M58" display="inline"><mml:mi mathvariant="bold-italic">b</mml:mi></mml:math></inline-formula> is a vector including the temperature and pressure profiles, and instrument specifications and other information that has impact on measurement vector but cannot be retrieved. The retrieved state vector can be found by the known result <inline-formula><mml:math id="M59" display="inline"><mml:mi mathvariant="bold-italic">y</mml:mi></mml:math></inline-formula>. The forward model is nonlinear for FTIR measurement, so the algorithm uses the method of Newtonian iteration to calculate the result of iteration index <inline-formula><mml:math id="M60" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>:
            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M61" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:msubsup><mml:mi mathvariant="bold">K</mml:mi><mml:mi>i</mml:mi><mml:mi>T</mml:mi></mml:msubsup><mml:msubsup><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="italic">ε</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup><mml:msub><mml:mi mathvariant="bold">K</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:mfenced><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>×</mml:mo><mml:mfenced close="}" open="{"><mml:mrow><mml:msubsup><mml:mi mathvariant="bold">K</mml:mi><mml:mi>i</mml:mi><mml:mi>T</mml:mi></mml:msubsup><mml:msubsup><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="italic">ε</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup><mml:mfenced close="]" open="["><mml:mrow><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="bold">F</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:msubsup><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
          where <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the a priori profile, <inline-formula><mml:math id="M63" display="inline"><mml:mi mathvariant="bold">K</mml:mi></mml:math></inline-formula> is the Jacobian matrix, <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="italic">ε</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the a priori covariance matrix and the measurement covariance matrix. The best-fitting retrieved state vector <inline-formula><mml:math id="M66" display="inline"><mml:mover accent="true"><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover></mml:math></inline-formula> and the true state vector <inline-formula><mml:math id="M67" display="inline"><mml:mi mathvariant="bold-italic">x</mml:mi></mml:math></inline-formula> can be expressed as
            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M68" display="block"><mml:mrow><mml:mover accent="true"><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="bold">A</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">ε</mml:mi><mml:mi mathvariant="bold-italic">x</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">ε</mml:mi><mml:mi mathvariant="bold-italic">x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the error terms, mainly including the
measurement error covariance matrix <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="bold">GS</mml:mi><mml:mi mathvariant="italic">ε</mml:mi></mml:msub><mml:msup><mml:mi mathvariant="bold">G</mml:mi><mml:mi>T</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>, the smoothing error covariance matrix <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="bold">A</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:msub><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="bold">A</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mi>T</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>,
and the forward parameter error covariance matrix
<inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="bold">GK</mml:mi><mml:mi>b</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:msub><mml:mi mathvariant="bold">S</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="bold">GK</mml:mi><mml:mi>b</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mi>T</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>.
<inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">K</mml:mi><mml:mi>b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the sensitivity of the measurements to the parameter <inline-formula><mml:math id="M74" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math id="M75" display="inline"><mml:mi mathvariant="bold">G</mml:mi></mml:math></inline-formula> is the gain matrix. <inline-formula><mml:math id="M76" display="inline"><mml:mi mathvariant="bold">A</mml:mi></mml:math></inline-formula> is the averaging kernel matrix, representing the sensitivity of the retrieved states to the true atmosphere, and the formula is
            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M77" display="block"><mml:mrow><mml:mi mathvariant="bold">A</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:msubsup><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="bold">K</mml:mi><mml:mi>T</mml:mi></mml:msup><mml:msubsup><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="italic">ε</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:mfenced><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mi mathvariant="bold">K</mml:mi><mml:mi>T</mml:mi></mml:msup><mml:msubsup><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="italic">ε</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup><mml:mi mathvariant="bold">K</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          and the trace of the averaging kernel matrix can be used to represent the
vertically independent information obtained by the measurement, which is
called the degrees of freedom for signal (DOFs).</p>
      <p id="d1e1564">The solution of the inverse problem is an ill-posed process constrained by a
priori state vector <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and regularization matrix
<inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mi mathvariant="bold">R</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="bold">R</mml:mi><mml:mo>=</mml:mo><mml:msubsup><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. In this study, we use the Tikhonov <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">L</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> regularization to define the constrain matrix <inline-formula><mml:math id="M81" display="inline"><mml:mi mathvariant="bold">R</mml:mi></mml:math></inline-formula>; this method is described in Tikhonov (1963), Vigouroux et al. (2009), and Sussmann et al. (2011). The regularization strength <inline-formula><mml:math id="M82" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> is crucial to constrain the retrieved profiles and extract more information from measurements, so we follow the approach described in Steck (2002) that minimizes the total error calculated by the measurement error and smoothing error. The measurement error <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and the smoothing
error <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) are calculated to get the total error
<inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">tot</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:msubsup><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">s</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:msqrt></mml:mrow></mml:math></inline-formula> according to the a posteriori error estimation method. Using all spectra collected in 2020 to test the regularization strength, the test results are listed in Table 2. CFC-11 has a minimum total error of 0.50 % (the measurement error is 0.50 % and the smoothing error is 0.06 %) for regularization strength <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, while CFC-12 has a minimum total error of 0.14 % (the measurement error is 0.14 % and the smoothing error is 0.03 %) for <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 10<inline-formula><mml:math id="M88" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula>, and the degrees of freedom for signal (DOFs) of the two gases are greater than 1. So the regularization strength is chosen as <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> for CFC-11 and CFC-12 retrieval, respectively.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e1747">The total error (<inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">tot</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and retrieved DOFs for <bold>(a)</bold> CFC-11 and <bold>(b)</bold> CFC-12 by using different regularization strength <inline-formula><mml:math id="M92" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> values.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><bold>(a)</bold></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M93" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">10</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry namest="col1" nameend="col2">Total error (%) </oasis:entry>
         <oasis:entry colname="col3">0.54</oasis:entry>
         <oasis:entry colname="col4">0.50</oasis:entry>
         <oasis:entry colname="col5">0.50</oasis:entry>
         <oasis:entry colname="col6">0.50</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col2">DOFs </oasis:entry>
         <oasis:entry colname="col3">1.10</oasis:entry>
         <oasis:entry colname="col4">1.01</oasis:entry>
         <oasis:entry colname="col5">1.00</oasis:entry>
         <oasis:entry colname="col6">1.00</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><bold>(b)</bold></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M97" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">10</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry namest="col1" nameend="col2">Total error (%) </oasis:entry>
         <oasis:entry colname="col3">0.30</oasis:entry>
         <oasis:entry colname="col4">0.26</oasis:entry>
         <oasis:entry colname="col5">0.17</oasis:entry>
         <oasis:entry colname="col6">0.14</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry namest="col1" nameend="col2">DOFs </oasis:entry>
         <oasis:entry colname="col3">2.07</oasis:entry>
         <oasis:entry colname="col4">1.70</oasis:entry>
         <oasis:entry colname="col5">1.20</oasis:entry>
         <oasis:entry colname="col6">1.03</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Spectral retrieval of CFC-11 and CFC-12</title>
      <p id="d1e1988">A typical spectrum was analyzed to retrieve CFC-11 and CFC-12, and the
spectrum was collected at 01:55:48 UTC on 15 January 2017, with a solar
zenith angle of 63.03<inline-formula><mml:math id="M101" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. The spectral retrieval window, the
retrieved vertical profile, and the averaging kernels and DOFs for CFC-11
and for CFC-12 are plotted in Figs. 2 and 3, respectively. The fitting
residuals of CFC-11 are within <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> %, and the root-mean-square (rms)
error is 0.309 %. The fitting residuals of CFC-12 are within <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> %, and the rms error is 0.298 %. The profile of the mixing ratio for
CFC-11 and CFC-12 is mainly distributed within 0–20 km. The a priori profile
of CFC-12 is similar to the retrieved profile with the Tikhonov
regularization, and tropospheric concentrations of the retrieved CFC-11
profile are significantly higher than those of the a priori profile. The
averaging kernels in Figs. 2c and 3c, describe the sensitivity of the
height dependence of the retrieved profile to concentration perturbations at
various atmospheric levels. The high sensitivity means the profile retrieved
mainly comes from the measured spectrum rather than a priori information
(Rodgers and Connor, 2003). It can be seen that each layer of CFC-11
has high sensitivity below 30 km and has the highest sensitivity at about 4 km. For CFC-12, each layer has high sensitivity at about 15 and 4 km, and
the sensitivity tends to be zero above 40 km. The DOFs of typical spectra
for CFC-11 and CFC-12 are 1.02 and 1.31, respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e2022"><bold>(a)</bold> Measured (blue) and fitted (red) CFC-11 (CCl<inline-formula><mml:math id="M104" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>F) spectrum
(01:55:48 UTC 15 January 2017, solar zenith angle of 63.03<inline-formula><mml:math id="M105" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) in
the one microwindow; <bold>(b)</bold> the CFC-11 profiles (the black line represents a priori profile; the red line represents a retrieved profile); <bold>(c)</bold> the averaging kernels of CFC-11; <bold>(d)</bold> the degrees of freedom for signal (DOFs) of CFC-11.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/6739/2022/amt-15-6739-2022-f02.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e2062"><bold>(a)</bold> Measured (blue) and fitted (red) CFC-12 (CCl<inline-formula><mml:math id="M106" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>F<inline-formula><mml:math id="M107" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>)
spectrum (01:55:48 UTC 15 January 2017, solar zenith angle of
63.03<inline-formula><mml:math id="M108" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) in the one microwindow; <bold>(b)</bold> the CFC-12 profiles (the black line represents a priori profile; the red line represents a retrieved
profile); <bold>(c)</bold> the averaging kernels of CFC-12; <bold>(d)</bold> the degrees of freedom for signal (DOFs) of CFC-12.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/6739/2022/amt-15-6739-2022-f03.png"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Error analysis</title>
      <p id="d1e2121">We analyze the smoothing error, forward model error, model parameter error,
and measurement error of the target gases based on the a posteriori error
estimation method described in Rodgers and Connor (2003).
The error items and their relative uncertainties in the error budget are
listed in Table 3. For the uncertainty of atmospheric temperature, the
systematic error is about 2 K for the vertical range from 0 to 30 km, 5–9 K above 30 km, and the temperature random error is 5 K for the whole
atmosphere. The systematic and random uncertainties of solar zenith angle
(SZA) are 0.1 and 0.2<inline-formula><mml:math id="M109" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, respectively. The line intensity uncertainty, the uncertainty of the temperature dependence of line width and the air broadening of line width for CFC-11 and CFC-12 are 7 % and 1 %, respectively, referring to the maximum absorption coefficient error given in pseudo-line lists. The uncertainty of H<inline-formula><mml:math id="M110" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O spectroscopy is set to 10 %, and the uncertainty of instrument line shape (ILS) is 2 %. In the error budget estimation of CFC-11, zero level offset (zshift) is included in the
retrieval parameter error.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e2145">Random and systematic error uncertainty and budget for CFC-11 and
CFC-12 retrieval.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.98}[.98]?><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:colspec colnum="7" colname="col7" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Error source</oasis:entry>
         <oasis:entry rowsep="1" namest="col2" nameend="col4" align="center" colsep="1">CFC-11 </oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col7" align="center">CFC-12 </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Uncertainty</oasis:entry>
         <oasis:entry colname="col3">Systematic</oasis:entry>
         <oasis:entry colname="col4">Random</oasis:entry>
         <oasis:entry colname="col5">Uncertainty</oasis:entry>
         <oasis:entry colname="col6">Systematic</oasis:entry>
         <oasis:entry colname="col7">Random</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(%)</oasis:entry>
         <oasis:entry colname="col3">(%)</oasis:entry>
         <oasis:entry colname="col4">(%)</oasis:entry>
         <oasis:entry colname="col5">(%)</oasis:entry>
         <oasis:entry colname="col6">(%)</oasis:entry>
         <oasis:entry colname="col7">(%)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Smoothing error</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">0.04</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">0.02</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Measurement error</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">0.33</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">0.10</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Retrieval parameters</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry namest="col3" nameend="col4" colsep="1">0.16 </oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry namest="col6" nameend="col7">0 </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Interfering species</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry namest="col3" nameend="col4" colsep="1">0.02 </oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry namest="col6" nameend="col7">0.01 </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Temperature</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">0.08</oasis:entry>
         <oasis:entry colname="col4">0.52</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">0.20</oasis:entry>
         <oasis:entry colname="col7">0.84</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SZA</oasis:entry>
         <oasis:entry colname="col2">0.1 (0.2)</oasis:entry>
         <oasis:entry colname="col3">0.09</oasis:entry>
         <oasis:entry colname="col4">0.18</oasis:entry>
         <oasis:entry colname="col5">0.1 (0.2)</oasis:entry>
         <oasis:entry colname="col6">0.23</oasis:entry>
         <oasis:entry colname="col7">0.11</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Line intensity</oasis:entry>
         <oasis:entry colname="col2">7</oasis:entry>
         <oasis:entry colname="col3">2.88</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">1</oasis:entry>
         <oasis:entry colname="col6">0.27</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Temperature dependence of line width</oasis:entry>
         <oasis:entry colname="col2">7</oasis:entry>
         <oasis:entry colname="col3">0.001</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">1</oasis:entry>
         <oasis:entry colname="col6">0.56</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Air broadening of line width</oasis:entry>
         <oasis:entry colname="col2">7</oasis:entry>
         <oasis:entry colname="col3">0.01</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">1</oasis:entry>
         <oasis:entry colname="col6">0.27</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">H<inline-formula><mml:math id="M111" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O spectroscopy</oasis:entry>
         <oasis:entry colname="col2">10</oasis:entry>
         <oasis:entry colname="col3">2.87</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">10</oasis:entry>
         <oasis:entry colname="col6">0.67</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ILS</oasis:entry>
         <oasis:entry colname="col2">2</oasis:entry>
         <oasis:entry colname="col3">0.01</oasis:entry>
         <oasis:entry colname="col4">0.01</oasis:entry>
         <oasis:entry colname="col5">2</oasis:entry>
         <oasis:entry colname="col6">0.12</oasis:entry>
         <oasis:entry colname="col7">0.12</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">zshift</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">1</oasis:entry>
         <oasis:entry colname="col6">0.85</oasis:entry>
         <oasis:entry colname="col7">0.85</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">4.07</oasis:entry>
         <oasis:entry colname="col4">0.66</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">1.32</oasis:entry>
         <oasis:entry colname="col7">1.21</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <p id="d1e2556">The total errors for CFC-11 and CFC-12 are about 4.12 % and 1.79 %,
respectively, based on the combination of random and systematic errors. The
systematic error and random error for CFC-11 are 4.07 % and 0.66 %,
respectively. The line intensity and H<inline-formula><mml:math id="M112" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O spectroscopy in CFC-11 are the
dominating systematic errors, with errors of 2.88 % and 2.87 %,
respectively. Temperature error is the dominating random error for CFC-11.
For CFC-12, the systematic error and random error are 1.32 % and 1.21 %, respectively, while the dominating errors are temperature, H<inline-formula><mml:math id="M113" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O spectroscopy, and zshift. At the St. Petersburg site, the systematic error for CFC-11 is 7.61 % and the random error is 3.08 %, and for CFC-12, the systematic error is 2.24 % and the random error is 2.40 % (Polyakov et al., 2021). Our error estimates are similar to those at
the St. Petersburg station, and slightly smaller compared with the latter.</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Time series of CFC-11 and CFC-12 at the Hefei site</title>
      <p id="d1e2594">Figure 4a shows the time series of the CFC-11 total columns observed from
January 2017 to December 2020 at the Hefei site. Figure 4b shows CFC-12
total columns observed from September 2015 to December 2020 at the Hefei site. The average total column of CFC-11 and CFC-12 is <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.65</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.18</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molec. cm<inline-formula><mml:math id="M115" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.04</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molec. cm<inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively. The time series <inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:mi>F</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are fitted by Fourier series containing first-order polynomial and three harmonic terms to simulate the interannual and seasonal variation in CFC-11 and CFC-12:
            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M119" display="block"><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{8.9}{8.9}\selectfont$\displaystyle}?><mml:mi>F</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mo>+</mml:mo><mml:mi>b</mml:mi><mml:mo>⋅</mml:mo><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">3</mml:mn></mml:msubsup><mml:mo mathsize="1.1em">(</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>k</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mi>cos⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">π</mml:mi><mml:mi>k</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>k</mml:mi></mml:mrow></mml:msub><mml:mi>sin⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">π</mml:mi><mml:mi>k</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfenced><mml:mo mathsize="1.1em">)</mml:mo><mml:mo>,</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M120" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> is the time fraction in years, <inline-formula><mml:math id="M121" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> is the intercept, <inline-formula><mml:math id="M122" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> represents annual trend, and <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> represent sin/cosine harmonic term coefficients.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e2815">The time series of the total columns of <bold>(a)</bold> CFC-11 and <bold>(b)</bold> CFC-12 from FTIR measurements at Hefei. The light red dots are the individual measurements, the red dots are the daily average, the error bars are standard deviations of the daily average, and the black solid line and the black dash line are the fitting curve of individual measurements and annual trend, respectively.</p></caption>
          <?xmltex \igopts{width=230.467323pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/6739/2022/amt-15-6739-2022-f04.png"/>

        </fig>

      <p id="d1e2830">CFC-11 and CFC-12 show an obvious seasonal variation and annual decreasing
trend. The annual decline in CFC-11 and CFC-12 is due to the prohibition of
emissions from industrial production. For CFC-11, the annual decreasing rate
of the total column is <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.47</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula> % 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> listed in Table 4,
which is close to the value of <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.40</mml:mn></mml:mrow></mml:math></inline-formula> % 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> at St. Petersburg
observed from 2009 to 2019. However, it is lower than the value of <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.86</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.12</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M130" 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> reported at the St Denis and Maïdo (Réunion) station observed from 2004 to 2016, the value of <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.78</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> % 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> reported at the Jungfraujoch station observed from 2000 to 2020, and the value of <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.79</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M134" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> derived from ACE-FTS from 2012 to 2018 covering the region between 30<inline-formula><mml:math id="M135" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S and 30<inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N. For CFC-12, the annual decreasing rate of the total column is <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.68</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M138" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at the Hefei site, close to the value of <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.76</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M140" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> derived from St Denis and Maïdo (Réunion) measurements and to <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.76</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M142" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> derived from ACE-FTS
observations between 30<inline-formula><mml:math id="M143" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S and 30<inline-formula><mml:math id="M144" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N latitude. However, it is larger than the value of <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.49</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M146" 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 St. Petersburg
measurements and the value of <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.38</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M148" 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> reported
at the Jungfraujoch station (Polyakov et al., 2021; Steffen et al., 2019;
Mahieu et al., 2015; Pardo Cantos et al., 2022). The total-column decline
rate of CFC-11 is significantly lower than that of CFC-12.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><?xmltex \currentcnt{4}?><label>Table 4</label><caption><p id="d1e3129">The annual trend (% yr<inline-formula><mml:math id="M149" 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>) of CFC-11 and CFC-12 at the Hefei, St. Petersburg, Jungfraujoch, and Réunion FTIR stations and
ACE-FTS between 30<inline-formula><mml:math id="M150" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S and 30<inline-formula><mml:math id="M151" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">Dataset</oasis:entry>

         <oasis:entry colname="col2">Observing period</oasis:entry>

         <oasis:entry colname="col3">CFC-11</oasis:entry>

         <oasis:entry colname="col4">CFC-12</oasis:entry>

         <oasis:entry colname="col5">Reference</oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">Hefei</oasis:entry>

         <oasis:entry rowsep="1" colname="col2">2017–2020</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.47</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry rowsep="1" colname="col4">–</oasis:entry>

         <oasis:entry rowsep="1" colname="col5"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">2015–2020</oasis:entry>

         <oasis:entry colname="col3">–</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.68</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">St. Petersburg</oasis:entry>

         <oasis:entry colname="col2">2009–2019</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.40</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.49</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5">Polyakov et al. (2021)</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">Jungfraujoch</oasis:entry>

         <oasis:entry rowsep="1" colname="col2">2000–2020</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.78</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry rowsep="1" colname="col4">–</oasis:entry>

         <oasis:entry rowsep="1" colname="col5">Pardo Cantos et al. (2022)</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">2004–2010</oasis:entry>

         <oasis:entry colname="col3">–</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.38</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5">Mahieu et al. (2015)</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">Réunion</oasis:entry>

         <oasis:entry rowsep="1" colname="col2">2004–2016</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.86</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.12</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry rowsep="1" colname="col4">–</oasis:entry>

         <oasis:entry rowsep="1" colname="col5" morerows="1">Zhou et al. (2016)</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">2009–2016</oasis:entry>

         <oasis:entry colname="col3">–</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.76</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">ACE-FTS (30<inline-formula><mml:math id="M160" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S–30<inline-formula><mml:math id="M161" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N)</oasis:entry>

         <oasis:entry colname="col2">2012–2018</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.79</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.76</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5">Steffen et al. (2019)</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e3471">The seasonal variations in detrended CFC-11 and CFC-12 total columns are
given in Fig. 5. The detrended values are obtained by subtracting the
respective annual average value from individual measurements at the Hefei
site. Both CFC-11 and CFC-12 show an obvious seasonal variation. CFC-11 has
the highest total column in summer and a trough in spring, and CFC-12 has
the highest column in summer and autumn and a trough in spring. The peak
value of CFC-11 appears in July and the minimum in April, with a seasonal
amplitude of <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.89</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molec. cm<inline-formula><mml:math id="M165" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and a
seasonal variability of 8 %. The seasonal amplitude is the difference
between the maximum and the minimum monthly mean, and the seasonal
variability is the seasonal amplitude divided by the annual mean. The peak
of CFC-12 is in September and the minimum in March, with a seasonal
amplitude of <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.53</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molec. cm<inline-formula><mml:math id="M167" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and a seasonal variability of 4 %. Compared with CFC-12, CFC-11 has smaller difference in autumn and winter. Yang et al. (2021) measured a higher CFC concentration in August at the top of Mount Tai in northern China from June 2017 to April 2018. CFC-11 and CFC-12 at the St Denis and Maïdo stations also show a seasonal cycle, with high concentrations in summer and autumn (Zhou et al., 2016).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e3530"><bold>(a)</bold> The detrended total columns of CFC-11; <bold>(b)</bold> the detrended total columns of CFC-12. The error bars show the standard deviation of monthly averaged value.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/6739/2022/amt-15-6739-2022-f05.png"/>

        </fig>

      <p id="d1e3544">At present, China still has a large reserve of CFCs. CFC-11 is often used as
blowing agent and tobacco shred expander, and CFC-12 is mainly used as
refrigerant and blowing agent (Wang et al., 2010). Some studies in China indicate that the leakage of CFCs from waste treatment in municipal solid waste landfills, the wide use of air conditioners and other refrigeration equipment in summer, and low-leak tightness of automobile mobile air conditioning systems on hot and humid days are potential sources of CFCs (Y. Zhang et al., 2017; Zhen et al., 2020). This seasonal variation is also related to the seasonal cycle of the Brewer–Dobson circulation, and the inconsistency in CFC-11 and CFC-12 lifetime may be the other reason for their seasonal variation difference (Tegtmeier et al., 2016). Primary sinks of CFC-11 and CFC-12 are in the stratosphere, and the lifetime of CFC-11 is shorter than CFC-12, so CFC-11 has more depletion with height in the stratosphere due to photochemical destruction. Nevison et al. (2004) described that CFC-11 has a shorter lifetime than CFC-12 and greater sensitivity to stratospheric downwelling, which causes greater seasonal variability in CFC-11.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Comparison with satellite and model data</title>
      <p id="d1e3555">The Atmospheric Chemistry Experiment Fourier Transform Spectrometer
(ACE-FTS) was launched onboard the SCISAT-1 satellite and recorded 16
halogen-containing gases, which provide the data for studying ozone
chemistry and dynamic processes in the stratosphere and upper troposphere
(Bernath, 2002; Boone et al., 2004; Bernath, 2017). The ACE-FTS is a
high-resolution (0.02 cm<inline-formula><mml:math id="M168" 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>) spectrometer with a spectral range of
750–4400 cm<inline-formula><mml:math id="M169" 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 operates in the solar occultation mode, and
continuously collects infrared solar spectra from 150 km altitude down to
the cloud top (Mahieu et al., 2008). ACE-FTS observations cover almost
the whole world, but the main observing target is not China. ACE is mainly
aimed at studying the ozone chemical process at high latitude, so there are a
few observations for tropical and subtropical areas. We choose the satellite
data centered at the Hefei site with a latitude of <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and
longitude of <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (27–37<inline-formula><mml:math id="M172" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 107–127<inline-formula><mml:math id="M173" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E). In this study, we use the v4.1/v4.2 Level 2 ACE data. The observation period is from 2017 to 2020 for CFC-11 and from 2015 to 2020 for CFC-12. The method of Brown et al. (2011) was adopted to eliminate the points deviating from the 2.5 times median absolute deviations (MADs) to filter the outliers. The a priori profile and vertical sensitivity of ACE-FTS and ground-based FTIR are
different, so it is difficult to directly compare the raw profiles observed
from ACE-FTS with FTIR data. In order to compare the two types of data, we
interpolated the profiles of ACE-FTS to the FTIR vertical grid and smoothed
the interpolated data by the FTIR averaging kernel and a priori profile
using the method of Rodgers and Connor (2003), that is
            <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M174" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">smooth</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="bold">A</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">sat</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M176" display="inline"><mml:mi mathvariant="bold">A</mml:mi></mml:math></inline-formula> are the a priori profile and averaging kernel of FTIR observations, respectively, <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the satellite profile after interpolation, and <inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">smooth</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the smoothed profile of the satellite. The profile obtained from satellite and the ground-based FTIR are shown in Fig. 6. The vertical VMR (volume mixing ratio) profiles of CFC-11 measured by ground-based FTIR
are slightly larger than ACE-FTS VMR profiles below 30.5 km. The measured
CFC-12 profiles by FTIR are slightly smaller than ACE-FTS profiles below
20.5 km. The relative difference in ACE and FTIR data is calculated by the
concentration observed by satellite minus FTIR data divided by FTIR data at
the same altitude. The mean relative difference between the two types of data is
<inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.3</mml:mn></mml:mrow></mml:math></inline-formula> % and <inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula> % for CFC-11 and CFC-12 profiles from 5.5 to 17.5 km, respectively. The results demonstrate our FTIR data agree relatively well with the ACE-FTS satellite data.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e3736">The vertical profile of <bold>(a)</bold> CFC-11 and <bold>(b)</bold> CFC-12 obtained from ground-based FTIR (black) and ACE-FTS satellite (red) measurements. The error bars are the standard deviations of the mixing ratio profile for CFC-11 and CFC-12 at each layer.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/6739/2022/amt-15-6739-2022-f06.png"/>

        </fig>

      <p id="d1e3751">The spatial range of satellite data selected is wide, the observation time
is not the same as FTIR observations, and the a priori profiles of satellite
and FTIR data are different, leading to the difference between ACE-FTS and
FTIR data. Mahieu et al. (2008) compared the profiles retrieved from the
balloon-borne FTIR spectrometer Mark-IV (MkIV) with ACE-FTS data and found that the VMR concentrations of ACE-FTS were systematically smaller than MkIV values for CFC-11, with a difference of <inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> % above 12 km and about <inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> % below 12 km, while for CFC-12, ACE-FTS VMR concentrations are systematically lower than MkIV values, with maximum differences of <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> %.</p>
      <p id="d1e3785">The retrieved profiles of CFC-11 for ACE-FTS are mainly at 5–23 km, and
CFC-11 and CFC-12 are mainly distributed below 20 km. So we refer to the
study of Steffen et al. (2019) and calculate <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mi mathvariant="normal">gas</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of CFC-11 and CFC-12 at 5.5–17.5 km. The dry-air averaged mole fraction (<inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mi mathvariant="normal">gas</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) of the target gas from ACE-FTS and FTIR is calculated
as follows:

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M186" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E7"><mml:mtd><mml:mtext>7</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>X</mml:mi><mml:mi mathvariant="normal">gas</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mtext>column</mml:mtext><mml:mi mathvariant="normal">G</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mtext>column</mml:mtext><mml:mrow><mml:mi mathvariant="normal">dry</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">air</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E8"><mml:mtd><mml:mtext>8</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mtext>column</mml:mtext><mml:mrow><mml:mi mathvariant="normal">dry</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">air</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mi mathvariant="normal">air</mml:mi></mml:msub><mml:msubsup><mml:mi>m</mml:mi><mml:mi mathvariant="normal">air</mml:mi><mml:mi mathvariant="normal">dry</mml:mi></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:msub><mml:mtext>column</mml:mtext><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msubsup><mml:mi>m</mml:mi><mml:mi mathvariant="normal">air</mml:mi><mml:mi mathvariant="normal">dry</mml:mi></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:msub><mml:mtext>column</mml:mtext><mml:mi mathvariant="normal">G</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msub><mml:mtext>column</mml:mtext><mml:mrow><mml:mi mathvariant="normal">dry</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">air</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> are columns obtained from target gas and dry air, respectively. <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:msubsup><mml:mi>m</mml:mi><mml:mi mathvariant="normal">air</mml:mi><mml:mi mathvariant="normal">dry</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> are the molecular
mass of dry air and water vapor. <inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the surface pressure, and <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">g</mml:mi><mml:mi mathvariant="normal">air</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the average gravitational acceleration.</p>
      <p id="d1e4005">The dry-air averaged mole fractions of CFC-11 and CFC-12 obtained from the
ACE-FTS satellite are <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:mn mathvariant="normal">221</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:mn mathvariant="normal">527</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula> ppt, respectively, while the column-averaged dry-air mole fractions from FTIR observation are <inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mn mathvariant="normal">232</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:mn mathvariant="normal">501</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:math></inline-formula> ppt, respectively. Yang et al. (2021) reported that the concentrations of CFC-11 and CFC-12 from in situ measurements at the top of Mount Tai in northern China from 2017 to 2018 were 257 and 577 ppt,  respectively. The surface mean mixing ratio of CFC-11 in five cities in China (Beijing, Hangzhou, Guangzhou, Lanzhou, and Chengdu) observed from 2017 to 2019 was in the range of 244 to 268 ppt, and that of CFC-12 ranged from 526 to 585 ppt during 2015 to 2019 (Yi et al., 2021). Benish et al. (2021) found concentrations of <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:mn mathvariant="normal">281</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">44</mml:mn></mml:mrow></mml:math></inline-formula> ppt for CFC-11 and <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mn mathvariant="normal">552</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">93</mml:mn></mml:mrow></mml:math></inline-formula> ppt for CFC-12 from aircraft observations at 500–3500 m above Hebei Province, China, in 2016. The reported values observed from different locations in China are similar to the dry-air averaged mole fraction of CFC-11 and CFC-12 measured at Hefei, which reflects the reliability of our results. On the other hand, the lower concentrations of CFC-11 and CFC-12 may be due to the smaller emissions at Hefei.</p>
      <p id="d1e4081">Table 5 lists the annual decreasing rate of CFC-11 and CFC-12 at the Hefei
site calculated from ground-based FTIR data, ACE-FTS satellite data, and the
data from WACCM V6. WACCM V6 data are available from the website
<uri>ftp://nitrogen.acom.ucar.edu/user/jamesw/IRWG/2013/WACCM/V6/</uri> (last access: 20 January 2022), and the simulated data consider the Hefei site
(31.9<inline-formula><mml:math id="M199" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 117.17<inline-formula><mml:math id="M200" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) as the center, with a horizontal
resolution of <inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.95</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1.25</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. The annual decreasing rate of CFC-11 obtained from FTIR total columns, ACE-FTS, and WACCM is <inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.47</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula> %, <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.15</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.22</mml:mn></mml:mrow></mml:math></inline-formula> %, and <inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.68</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.18</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M205" 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 decreasing trend of CFC-11 obtained
from ACE-FTS and WACCM is significantly higher. The annual decreasing rate
of CFC-12 from FTIR total columns, ACE-FTS, and WACCM data is <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.68</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> %, <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.85</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.15</mml:mn></mml:mrow></mml:math></inline-formula> %, and <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.81</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M209" 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 three independent values are close. The wide
observation range of ACE-FTS and few matching data for Hefei observations
lead to low representativeness of the annual decreasing rate for ACE-FTS
data. Polyakov et al. (2021) also found that the decreasing trend of FTIR
data is different from ACE-FTS data and WACCM data, and the difference in
CFC-11 is greater than that of CFC-12.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5"><?xmltex \currentcnt{5}?><label>Table 5</label><caption><p id="d1e4238">Summary of annual decreasing rate obtained from measurements of
FTIR, ACE-FTS satellite, and WACCM data.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.94}[.94]?><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">FTIR</oasis:entry>
         <oasis:entry colname="col3">ACE-FTS</oasis:entry>
         <oasis:entry colname="col4">WACCM</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(total column)</oasis:entry>
         <oasis:entry colname="col3">(8.5–17.5 km)</oasis:entry>
         <oasis:entry colname="col4">(total column)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">CFC-11</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.47</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula> %</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.15</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.22</mml:mn></mml:mrow></mml:math></inline-formula> %</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.68</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.18</mml:mn></mml:mrow></mml:math></inline-formula> %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CFC-12</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.68</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> %</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.85</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.15</mml:mn></mml:mrow></mml:math></inline-formula> %</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.81</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Comparison with data from other FTIR sites</title>
      <p id="d1e4405">Further, we compared our data with those from other NDACC-IRWG stations. NDACC is an international global atmospheric observation network, which operates a variety of high-precision ground-based observation technologies and provides long-term observations of a variety of atmospheric components (De Mazière et al., 2018). The ground-based high-resolution FTIR data at the St. Petersburg station are obtained from the NDACC database (<uri>https://www-air.larc.nasa.gov/missions/ndacc/data.html/</uri>, last access: 2 March 2022), and the ground-based high-resolution FTIR data at the Jungfraujoch and Réunion stations are provided by their respective researchers. The sites and data information are listed in Table 6.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T6" specific-use="star"><?xmltex \currentcnt{6}?><label>Table 6</label><caption><p id="d1e4414">Four FTIR stations and data information, including longitude,
latitude, altitude, and observing period.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Station</oasis:entry>
         <oasis:entry colname="col2">Latitude</oasis:entry>
         <oasis:entry colname="col3">Longitude</oasis:entry>
         <oasis:entry colname="col4">Altitude</oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col6" align="center">Observing period </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">(km)</oasis:entry>
         <oasis:entry colname="col5">CFC-11</oasis:entry>
         <oasis:entry colname="col6">CFC-12</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Hefei</oasis:entry>
         <oasis:entry colname="col2">31.91<inline-formula><mml:math id="M216" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>
         <oasis:entry colname="col3">117.17<inline-formula><mml:math id="M217" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col4">0.03</oasis:entry>
         <oasis:entry colname="col5">2017.1–2020.12</oasis:entry>
         <oasis:entry colname="col6">2015.9–2020.12</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">St. Petersburg</oasis:entry>
         <oasis:entry colname="col2">59.88<inline-formula><mml:math id="M218" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>
         <oasis:entry colname="col3">29.82<inline-formula><mml:math id="M219" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col4">0.02</oasis:entry>
         <oasis:entry colname="col5">2017.1–2020.11</oasis:entry>
         <oasis:entry colname="col6">2015.9–2020.12</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Jungfraujoch</oasis:entry>
         <oasis:entry colname="col2">46.55<inline-formula><mml:math id="M220" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>
         <oasis:entry colname="col3">7.98<inline-formula><mml:math id="M221" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col4">3.58</oasis:entry>
         <oasis:entry colname="col5">2017.1–2020.12</oasis:entry>
         <oasis:entry colname="col6">2015.9–2020.12</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Réunion (Maïdo)</oasis:entry>
         <oasis:entry colname="col2">21.08<inline-formula><mml:math id="M222" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>
         <oasis:entry colname="col3">55.38<inline-formula><mml:math id="M223" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col4">2.16</oasis:entry>
         <oasis:entry colname="col5">2017.1–2019.7</oasis:entry>
         <oasis:entry colname="col6">2016.4–2019.7</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e4638">Hefei, St. Petersburg, and Jungfraujoch stations are located in the Northern
Hemisphere, while Réunion (Maïdo) station is located in the Southern Hemisphere. Figure 7 shows the monthly means of CFC-11 and CFC-12 total
columns at the four FTIR stations. Both monthly means of CFC-11 and CFC-12
total columns are very close for the Hefei and St. Petersburg stations.
Also, the total columns at the Hefei and St. Petersburg stations are
significantly higher than those of Jungfraujoch and Réunion stations,
which may be due to the low altitude of the Hefei and St. Petersburg
stations and their proximity to large cities. China and Russia have a large
number of CFC-11 and CFC-12 reserves (Hurst et al., 2004). St. Petersburg is close to the industrially developed European part of Russia, and Hefei is located in the Yangtze River Delta of China, subject to relatively high urban and industrial emissions. The Jungfraujoch station is located at the high elevation of the Swiss Alps, and the Réunion station is located on an island in the western Indian Ocean, so the anthropogenic emissions have little impact on the two stations. Figure 8 is comparison of the detrended total columns of CFC-11 and CFC-12 at the four FTIR stations. In Fig. 8, it can be seen that the CFC-11 and CFC-12 total columns of the four stations reach a high amplitude in local summer or autumn and a low amplitude in local spring or winter. Table 7 summarizes the differences between the maximum and minimum monthly means and the seasonal variability of CFC-11 and CFC-12 at each FTIR station. For the four stations, CFC-11 has a higher seasonal variability than CFC-12. The three stations of Hefei, St Petersburg, and Jungfraujoch located in the Northern Hemisphere have very similar seasonal variability, and the seasonal variability is significantly higher than that of Réunion station located in the Southern Hemisphere.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e4644">Monthly means of <bold>(a)</bold> CFC-11 and <bold>(b)</bold> CFC-12 total columns at the four FTIR stations.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/6739/2022/amt-15-6739-2022-f07.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e4661">The detrended total columns of <bold>(a)</bold> CFC-11 and <bold>(b)</bold> CFC-12 at the four FTIR stations.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/6739/2022/amt-15-6739-2022-f08.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T7" specific-use="star"><?xmltex \currentcnt{7}?><label>Table 7</label><caption><p id="d1e4679">The maximum and minimum monthly means and seasonal variability of
CFC-11 and CFC-12 at the four FTIR stations.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="center" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Station</oasis:entry>
         <oasis:entry rowsep="1" namest="col2" nameend="col4" align="center" colsep="1">CFC-11 </oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col7" align="center">CFC-12 </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Maximum</oasis:entry>
         <oasis:entry colname="col3">Minimum</oasis:entry>
         <oasis:entry colname="col4">Seasonal</oasis:entry>
         <oasis:entry colname="col5">Maximum</oasis:entry>
         <oasis:entry colname="col6">Minimum</oasis:entry>
         <oasis:entry colname="col7">Seasonal</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(molec. cm<inline-formula><mml:math id="M224" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">(molec. cm<inline-formula><mml:math id="M225" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">variability</oasis:entry>
         <oasis:entry colname="col5">(molec. cm<inline-formula><mml:math id="M226" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col6">(molec. cm<inline-formula><mml:math id="M227" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col7">variability</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Hefei</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.84</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.45</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">8 %</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.06</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.02</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">4 %</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(July)</oasis:entry>
         <oasis:entry colname="col3">(April)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">(September)</oasis:entry>
         <oasis:entry colname="col6">(March)</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">St. Petersburg</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.87</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.47</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">8 %</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.05</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.00</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">4 %</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(August)</oasis:entry>
         <oasis:entry colname="col3">(March)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">(October)</oasis:entry>
         <oasis:entry colname="col6">(March)</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Jungfraujoch</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.92</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.74</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">7 %</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.59</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.31</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">4 %</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(September)</oasis:entry>
         <oasis:entry colname="col3">(March)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">(September)</oasis:entry>
         <oasis:entry colname="col6">(April)</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Réunion</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.75</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.56</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">5 %</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.49</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.36</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">1.5 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">(Maïdo)</oasis:entry>
         <oasis:entry colname="col2">(January)</oasis:entry>
         <oasis:entry colname="col3">(July)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">(April)</oasis:entry>
         <oasis:entry colname="col6">(October)</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e5214">Tegtmeier et al. (2016) also found that CFCs are at a minimum in late winter/early spring and at a maximum in late summer from MIPAS and HIRDLS data at high latitudes, and this seasonality may be related to the descent of aged air caused by the Brewer–Dobson circulation. At the same time, high latitudes are affected by the winter polar vortex, leading to the gradual decline in atmospheric CFC concentration since autumn. After March, the final vortex breakup and the atmospheric CFC concentration begin to increase gradually. In summer, the Brewer–Dobson circulation causes the young tropical air to flood the extratropical lower stratosphere, and higher concentrations of CFCs from developing regions in Asia such as China are also transported to the Asian monsoon anticyclone and then to high latitudes in autumn (Chirkov et al., 2016). Prignon et al. (2019) calculated the ERA mid-term reanalysis and found that, for the lower stratosphere of the Jungfraujoch site latitude band, the mean age of air is older in spring and winter and younger in summer and autumn. Réunion has lower seasonal variation, which may be due to the fact that the lower-latitude site is less modulated by polar processes and the weaker wave breaking and the stronger polar vortex over Antarctica inhibit aged air downwelling in the Southern Hemisphere (Nevison et al., 2004).</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusion</title>
      <p id="d1e5226">In this study, the atmospheric CFC-11 and CFC-12 total columns are retrieved from ground-based FTIR measurements over Hefei, China, during January 2017 to December 2020 and September 2015 to December 2020, respectively. The seasonal variation and annual trend of the two gases are analyzed, and then the data are compared with other independent datasets, such as satellite data, model simulations, and other NDACC-IRWG stations. This is one of the few reports about the detection of CFC-11 and CFC-12 columns and their temporal–spatial variations in China.</p>
      <p id="d1e5229">Tikhonov <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">L</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> regularization was applied to constrain the retrieved profile in the retrieval strategy. Atmospheric CFC-11 and CFC-12 are mainly distributed within 0–20 km vertical atmosphere. The total
retrieval error is 4.12 % for CFC-11 and 1.79 % for CFC-12. CFC-11 and CFC-12 total columns over Hefei showed a decreasing rate of <inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.47</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M246" 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="M247" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.68</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> % yr<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>, respectively.
CFC-11 total columns are higher in summer, and CFC-12 total columns are
higher in summer and autumn. Both CFC-11 and CFC-12 total columns are
lower in spring. The seasonal amplitude between the maximum value of CFC-11
in July and the minimum value in April is <inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.89</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molec. cm<inline-formula><mml:math id="M250" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, while CFC-12 has the peak in September and the
minimum in March, with a difference of <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.53</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molec. cm<inline-formula><mml:math id="M252" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Further, we compared FTIR data with the
ACE-FTS satellite and WACCM data as well as the data from other NDACC-IRWG
stations. The dry-air averaged mole fractions of CFC-11 and CFC-12 calculated
from an altitude of 5.5 to 17.5 km for ACE-FTS satellite data are <inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:mn mathvariant="normal">221</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:mn mathvariant="normal">527</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula> ppt, while the column-averaged dry-air mole fractions from FTIR observations are <inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:mn mathvariant="normal">232</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:mn mathvariant="normal">501</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:math></inline-formula> ppt, respectively. The mean relative difference between the FTIR and ACE-FTS concentrations at an altitude of 5.5 to 17.5 km is <inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.3</mml:mn></mml:mrow></mml:math></inline-formula> % and <inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula> % for CFC-11 and CFC-12, respectively. The results demonstrate our FTIR data agree relatively well with the ACE-FTS satellite data. Then the interannual variations from ground-based FTIR measurements, ACE-FTS observations, and WACCM V6 data for CFC-11 and CFC-12 were compared. The annual decreasing rate of CFC-11 measured from ACE-FTS and calculated by WACCM V6 is <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.15</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.22</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> and <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.68</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.18</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M262" 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 decreasing trend of ACE-FTS and WACCM is significantly higher, while the corresponding value of FTIR total columns is <inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.47</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M264" 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 annual decreasing rate of CFC-12 from ACE-FTS and WACCM V6 is <inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.85</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.15</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M266" 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="M267" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.81</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M268" 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, values which are close to the corresponding value of <inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.68</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M270" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
from the FTIR total-column measurements.</p>
      <p id="d1e5583">We compared the monthly means of CFC-11 and CFC-12 total columns at Hefei
with those at the St Petersburg, Jungfraujoch, and Réunion (Maïdo)
NDACC-IRWG stations. The total columns of CFC-11 and CFC-12 at the Hefei and
St. Petersburg stations are significantly higher than those of the
Jungfraujoch and Réunion stations, due to the first two stations' low elevation and their
proximity to industrial areas. The CFC-11 and
CFC-12 total columns of the four stations reach high values in summer or
autumn and low values in spring or winter. The seasonal variability of the
three stations in the Northern Hemisphere, Hefei, St. Petersburg, and
Jungfraujoch, is higher than that at the Réunion station in the Southern
Hemisphere. The seasonal cycle of CFC-11 and CFC-12 and the difference
between the northern and southern hemispheres may be related to the
Brewer–Dobson circulation and the winter polar vortex.</p>
</sec>

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

      <p id="d1e5591">The FTIR CFC-11 and CFC-12 data at Hefei are available by contacting the corresponding author. We will continue to update the data and upload them to the NDACC database after joining NDACC-IRWG. ACE-FTS data are publicly available via <uri>https://databace.scisat.ca/level2/</uri> (last access: 25 January 2022; Boone et al., 2020, <ext-link xlink:href="https://doi.org/10.1016/j.jqsrt.2020.106939" ext-link-type="DOI">10.1016/j.jqsrt.2020.106939</ext-link>). WACCM V6 data are available from the website <uri>ftp://nitrogen.acom.ucar.edu/user/jamesw/IRWG/2013/WACCM/V6/</uri> (last access: 20 January 2022; IRWG-NDACC, 2022). The FTIR CFC-11 and CFC-12 retrievals at the St. Petersburg site are available from
<uri>https://www-air.larc.nasa.gov/missions/ndacc/data.html/</uri> (last access: 2 March 2022). Réunion data and Jungfraujoch data are available by contacting Minqiang Zhou and Emmanuel Mahieu, respectively.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e5609">XZ retrieved the data and wrote the paper. WW and CS designed the experiment and revised the paper. CL and YX contributed to the discussion of the paper and explanation of the results. PW and QZ took part in FTIR measurements. AP provided retrieval guidance and St. Petersburg data. MZ and MDM provided Réunion data. EM, IPC, and JM provided Jungfraujoch data.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e5615">At least one of the (co-)authors is a member of the editorial board of <italic>Atmospheric Measurement Techniques</italic>. The peer-review process was guided by an independent editor, and the authors also have no other competing interests to declare.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e5624">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="d1e5630">We gratefully acknowledge Nicholas Jones, School of chemistry, Wollongong University, Australia, for guidance on ground-based spectra retrieval. Thanks to the Canadian Space Agency for funding the ACE mission. Thanks to James W. Hannigan (National Center for Atmospheric Research) for providing the WACCM model data. We sincerely thank the workers at each station. The FTIR site at Réunion is operated by the BIRA-IASB and locally supported by LACy/UMR8105, Université de La Réunion.</p><p id="d1e5632">The ULiège contribution to this work has been supported by the Fonds de la Recherche Scientifique (F.R.S. – FNRS, Brussels, Belgium), the GAW-CH program of MeteoSwiss (Zürich, CH) and the University of Liège. Emmanuel Mahieu is a senior research associate with F.R.S. – FNRS. The ULiège team thanks the International Foundation High Altitude Research Stations Jungfraujoch and Gornergrat (HFSJG, Bern, CH) for supporting the facilities needed to perform the Fourier transform infrared observations at Jungfraujoch.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e5637">This research has been supported by the National Key Technology R&amp;D Program of China (grant no. 2019YFC0214702), the National Natural Science Foundation of China (grant no. 41775025), the Major Projects of High Resolution Earth Observation Systems of National Science and Technology (grant no. 05-Y30B01-9001-19/20-3), the Strategic Priority Research Program of the Chinese Academy of Sciences (grant no. XDA23020301), the National Key Project for Causes and Control of Heavy Air Pollution (grant nos. DQGG0102 and DQGG0205), the Natural Science Foundation of Guangdong Province (grant no. 2016A030310115), the State Environmental Protection Key Laboratory of Sources and Control of Air Pollution Complex (grant no. SCAPC202110), the Fonds de la Recherche Scientifique (F.R.S. – FNRS, Brussels, Belgium; grant no. J.0126.21), the GAW-CH program of MeteoSwiss (Zürich, CH), and the University of Liège.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e5643">This paper was edited by Sandip Dhomse and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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