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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-22-9601-2022</article-id><title-group><article-title>A renewed rise in global HCFC-141b emissions<?xmltex \hack{\break}?> between 2017–2021</article-title><alt-title>A rise in global HCFC-141b emissions</alt-title>
      </title-group><?xmltex \runningtitle{A rise in global HCFC-141b emissions}?><?xmltex \runningauthor{L. M. Western et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Western</surname><given-names>Luke M.</given-names></name>
          <email>luke.western@bristol.ac.uk</email><email>luke.western@noaa.gov</email>
        <ext-link>https://orcid.org/0000-0002-0043-711X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Redington</surname><given-names>Alison L.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Manning</surname><given-names>Alistair J.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1431-7514</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Trudinger</surname><given-names>Cathy M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4844-2153</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff5">
          <name><surname>Hu</surname><given-names>Lei</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5624-3832</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Henne</surname><given-names>Stephan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6637-4887</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Fang</surname><given-names>Xuekun</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Kuijpers</surname><given-names>Lambert J. M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <name><surname>Theodoridi</surname><given-names>Christina</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10">
          <name><surname>Godwin</surname><given-names>David S.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff11">
          <name><surname>Arduini</surname><given-names>Jgor</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5199-3853</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Dunse</surname><given-names>Bronwyn</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff12">
          <name><surname>Engel</surname><given-names>Andreas</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0557-3935</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Fraser</surname><given-names>Paul J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff13">
          <name><surname>Harth</surname><given-names>Christina M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Krummel</surname><given-names>Paul B.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4884-3678</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff11">
          <name><surname>Maione</surname><given-names>Michela</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2622-5772</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff13">
          <name><surname>Mühle</surname><given-names>Jens</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9776-3642</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>O'Doherty</surname><given-names>Simon</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4051-6760</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff14">
          <name><surname>Park</surname><given-names>Hyeri</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7061-7856</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff14">
          <name><surname>Park</surname><given-names>Sunyoung</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7506-5752</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Reimann</surname><given-names>Stefan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9885-7138</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff13">
          <name><surname>Salameh</surname><given-names>Peter K.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Say</surname><given-names>Daniel</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3615-7926</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff13">
          <name><surname>Schmidt</surname><given-names>Roland</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff12">
          <name><surname>Schuck</surname><given-names>Tanja</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1380-3684</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff5">
          <name><surname>Siso</surname><given-names>Carolina</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff12">
          <name><surname>Stanley</surname><given-names>Kieran M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3388-0932</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff5">
          <name><surname>Vimont</surname><given-names>Isaac</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Vollmer</surname><given-names>Martin K.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5569-9718</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Young</surname><given-names>Dickon</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6723-3138</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff15">
          <name><surname>Prinn</surname><given-names>Ronald G.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff13">
          <name><surname>Weiss</surname><given-names>Ray F.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9551-7739</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Montzka</surname><given-names>Stephen A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9396-0400</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Rigby</surname><given-names>Matthew</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2020-9253</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Global Monitoring Laboratory, National Oceanic and Atmospheric Administration, Boulder, CO, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>School of Chemistry, University of Bristol, Bristol, UK</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Hadley Centre, Met Office, Exeter, UK</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Climate Science Centre, CSIRO Oceans and Atmosphere, Aspendale, Victoria, Australia</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Cooperative Institute for Research in Environmental Sciences, University of Colorado, Boulder, CO, USA​​​​​​​</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Empa, Swiss Federal Laboratories for Materials Science and Technology, Dübendorf, Switzerland</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>College of Environmental and Resource Sciences, Zhejiang University, Hangzhou, Zhejiang, China​​​​​​​</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>A/gent b.v. Consultancy, Venlo, Netherlands</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>Natural Resources Defense Council, Washington, DC, USA​​​​​​​</institution>
        </aff>
        <aff id="aff10"><label>10</label><institution>Stratospheric Protection Division, Environmental Protection Agency, Washington, DC, USA</institution>
        </aff>
        <aff id="aff11"><label>11</label><institution>Department of Pure and Applied Sciences, University of Urbino, Urbino, Italy</institution>
        </aff>
        <aff id="aff12"><label>12</label><institution>Institute for Atmospheric and Environmental Science, Goethe University Frankfurt,<?xmltex \hack{\break}?> Frankfurt am Main, Germany</institution>
        </aff>
        <aff id="aff13"><label>13</label><institution>Scripps Institution of Oceanography, University of California San Diego, La Jolla, CA, USA</institution>
        </aff>
        <aff id="aff14"><label>14</label><institution>Department of Oceanography, Kyungpook National University, Daegu, Republic of Korea</institution>
        </aff>
        <aff id="aff15"><label>15</label><institution>Center for Global Change Science, Massachusetts Institute of Technology, Cambridge, MA, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Luke M. Western (luke.western@bristol.ac.uk, luke.western@noaa.gov)</corresp></author-notes><pub-date><day>28</day><month>July</month><year>2022</year></pub-date>
      
      <volume>22</volume>
      <issue>14</issue>
      <fpage>9601</fpage><lpage>9616</lpage>
      <history>
        <date date-type="received"><day>20</day><month>April</month><year>2022</year></date>
           <date date-type="rev-request"><day>27</day><month>April</month><year>2022</year></date>
           <date date-type="rev-recd"><day>21</day><month>June</month><year>2022</year></date>
           <date date-type="accepted"><day>7</day><month>July</month><year>2022</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2022 </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://acp.copernicus.org/articles/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e496">Global emissions of the ozone-depleting gas HCFC-141b (1,1-dichloro-1-fluoroethane, CH<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>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) derived from measurements of atmospheric mole fractions increased between 2017 and 2021 despite a fall in reported production and consumption of HCFC-141b for dispersive uses.
HCFC-141b is a controlled substance under the Montreal Protocol, and its phase-out is currently underway, after a peak in reported consumption and production in developing (Article 5) countries in 2013.
If reported production and consumption are correct, our study suggests that the 2017–2021 rise is due to an increase in emissions from the bank when appliances containing HCFC-141b reach the end of their life, or from production of HCFC-141b not reported for dispersive uses.
Regional emissions have been estimated between 2017–2020 for all regions where measurements have sufficient sensitivity to emissions.
This includes the regions of northwestern Europe, east Asia, the United States and Australia, where emissions decreased by a total of 2.3 <inline-formula><mml:math id="M3" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.6 Gg yr<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, compared to a mean global increase of 3.0 <inline-formula><mml:math id="M5" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2 Gg yr<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> over the same period.
Collectively these regions only account for around 30 % of global emissions in 2020.
We are not able to pinpoint the source regions or specific activities responsible for the recent global emission rise.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e565">The global atmosphere has seen a decline in the burden of most ozone-depleting substances since the implementation of the Montreal Protocol on Substances that Deplete the Ozone Layer <xref ref-type="bibr" rid="bib1.bibx6" id="paren.1"/>.
Under the Protocol's framework, the global phase-out of production of chlorofluorocarbons (CFCs) and halons for dispersive uses was reportedly completed in 2010.
The phase-out (with the exception of very small amounts for the servicing of existing equipment) of their controlled replacement gases, primarily hydrochlorofluorocarbons (HCFCs), was completed in 2020 in developed (non-Article 5) countries, whilst developing (Article 5) countries are in the process of a staged phase-out, to be completed by 2030.</p>
      <p id="d1e571">Despite a global ban on CFC production for dispersive uses, recent work found unexpected emissions of CFC-11 (trichlorofluoromethane) between 2012 and 2017, likely stemming from CFC-11 produced in violation of the Montreal Protocol after 2010 <xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx45 bib1.bibx32 bib1.bibx37" id="paren.2"/>.
These studies provided evidence of renewed dispersive use of CFC-11 in eastern China, which accounted for around 60 % of the concurrent increase in global emissions.
Elevated emissions from eastern China of both CFC-12 and CCl<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, chemicals involved in the production of CFC-11, from which they can escape to the atmosphere, suggested that CFC-11 production may have also occurred in this region.
The most likely application of this newly produced CFC-11, which was not reported to the United Nations Environment Programme's (UNEP) Ozone Secretariat, was as a blowing agent for closed-cell foams <xref ref-type="bibr" rid="bib1.bibx55" id="paren.3"/>.</p>
      <p id="d1e589">The most widely used replacement gas for CFC-11 for foam blowing in developing countries was HCFC-141b (1,1-dichloro-1-fluoroethane, CH<inline-formula><mml:math id="M8" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CCl<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>F), which also has minor applications as an aerosol, a solvent and feedstock and is also an intermediate/by-product during the production of other fluorochemicals.
Under the phase-down schedule of the Montreal Protocol, HCFC-141b should no longer be produced or consumed for dispersive uses in developed countries, and production should be declining in developing countries since the HCFC phase-out began in 2013.
HCFC-141b has a much shorter atmospheric lifetime than CFC-11 (around 9.4 compared to 52 years), and its potential to deplete stratospheric ozone is only around 0.07–0.10 times that of CFC-11 <xref ref-type="bibr" rid="bib1.bibx3" id="paren.4"/>.
Yet, HCFC-141b is still an ozone-depleting substance, with the potential to delay stratospheric ozone recovery, and, along with other HCFCs, it is also a potent greenhouse gas, with a global warming potential 800 times that of carbon dioxide over a 100-year time horizon <xref ref-type="bibr" rid="bib1.bibx3" id="paren.5"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e619">Global HCFC-141b production for dispersive uses (blue) and consumption (orange) reported to UNEP. Production of HCFC-141b for use as a feedstock (green) is not included in the reported total for dispersive production or compliance considerations with respect to the Montreal Protocol.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/9601/2022/acp-22-9601-2022-f01.png"/>

      </fig>

      <p id="d1e628">Reported global HCFC-141b consumption – defined as production for dispersive uses plus imports minus exports and destruction – exhibits two peaks (Fig. <xref ref-type="fig" rid="Ch1.F1"/>), one in 2002 and one in 2011.
In addition to foam blowing, dispersive uses for HCFC-141b are as an aerosol (1.4 Gg was consumed for aerosols in 2014 and 0.7 Gg in 2018) and a solvent <xref ref-type="bibr" rid="bib1.bibx35" id="paren.6"/>.
The use of HCFC-141b for solvent cleaning has declined, from 4.7 in 2014 to 3.8 Gg yr<inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2018 and is predicted to decline further <xref ref-type="bibr" rid="bib1.bibx27 bib1.bibx35" id="paren.7"/>.
HCFC-141b produced for use as a feedstock is differentiated from dispersive production when reported as its production quantity is not relevant for compliance with the Montreal Protocol due to an earlier, but incorrect, assumption of negligible emissions from feedstock production and use (production for both dispersive uses and feedstock is shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>).
Production of HCFC-141b for feedstock was at a maximum of 18 Gg 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> in 2011, compared to 118 Gg yr<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2011 for dispersive uses, and has remained at 12–13 Gg 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> between 2014–2020.
However, the proportion of HCFC-141b produced as feedstock increased from 12 % in 2014 to 23 % in 2020 due to the decline in production for dispersive uses.
HCFC-141b can be a feedstock, a by-product and a target product.
Starting out from methyl chloroform or vinylidene chloride (VDC), HCFC-141b, HCFC-142b and HFC-143a are produced <xref ref-type="bibr" rid="bib1.bibx1" id="paren.8"/>.
HCFC-142b can then be converted to vinylidene fluoride (VDF, HFO-1132a), a refrigerant and also the building block for the fluoropolymer polyvinylidene fluoride (PVDF).
Any unwanted HCFC-141b can also be fed into this production chain <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx1" id="paren.9"/>.
While the size and exact fate of these production routes are not publicly known, it is possible that the market for PVDF is growing due to its use in Li-ion batteries and other high-tech applications.
Previous estimates of global HCFC-141b emissions, last reported up to 2016, based on atmospheric observations have generally been consistent with inventory estimates, based on consumption reported to UNEP (neglecting feedstock) and assumptions about rates of release to the atmosphere <xref ref-type="bibr" rid="bib1.bibx30 bib1.bibx51 bib1.bibx6" id="paren.10"/>.</p>
      <p id="d1e699">Regional top-down (based on atmospheric measurements) and bottom-up (based on assumptions about the size and rate of release from various emissive processes and reported or market-based estimates) HCFC-141b emission estimates are sparse and exist only for northeast Asia, India, western Europe and the  United States.
Top-down emissions estimates for China through 2017 by <xref ref-type="bibr" rid="bib1.bibx10" id="text.11"/> show emissions declining from 24 <inline-formula><mml:math id="M14" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 to 15 <inline-formula><mml:math id="M15" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2 Gg yr<inline-formula><mml:math id="M16" 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> between 2011 and 2017.
A decline in Chinese emissions in recent years is supported using a different set of atmospheric data by the estimates of <xref ref-type="bibr" rid="bib1.bibx64" id="text.12"/>, albeit with smaller overall emissions, showing Chinese emissions peaking at 16 Gg 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> in 2014 and dropping to 11 Gg yr<inline-formula><mml:math id="M18" 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> by 2019 (uncertainties were not given).
Conversely, bottom-up estimates for China projected a peak in emissions in 2018 (26 Gg yr<inline-formula><mml:math id="M19" 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>) <xref ref-type="bibr" rid="bib1.bibx60" id="paren.13"/> or the mid-2020s (31 to 35 Gg yr<inline-formula><mml:math id="M20" 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>) <xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx8" id="paren.14"/>, when foam products come to the end of their life following peak consumption.
The refrigeration and electric water-heater sectors contribute most significantly to these disposal-related emissions <xref ref-type="bibr" rid="bib1.bibx61" id="paren.15"/>.
Statistics on China's refrigerator production and disposal projected a continued increase in HCFC-141b emissions from China into 2020, when emissions were estimated to be around 12 Gg yr<inline-formula><mml:math id="M21" 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 household refrigerator disposal <xref ref-type="bibr" rid="bib1.bibx65" id="paren.16"/>.
Top-down emissions estimates for India based on measurements from an aircraft campaign in June–July 2016 were 1.0 (0.7–1.5) 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> <xref ref-type="bibr" rid="bib1.bibx49" id="paren.17"/>, while estimates for Europe from 2009 are estimated to be in the region of 1.4 (0.8–2.0) Gg yr<inline-formula><mml:math id="M23" 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> <xref ref-type="bibr" rid="bib1.bibx24" id="paren.18"/>.
Bottom-up estimates for the United States by the U.S. Environmental Protection Agency (EPA) <xref ref-type="bibr" rid="bib1.bibx7" id="paren.19"/> reached a maximum of 9.1 Gg yr<inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2014 and declined to 7.1 Gg yr<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2017, with a slowing rate of decline to 6.7 Gg yr<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2020.
The reason for the peak in US emissions following a long-term decline in consumption is likely due to an increase in emissions at the end of life of rigid boardstock, commercial refrigeration foams and domestic refrigerator–freezer insulation products.</p>
      <p id="d1e878">This work explores whether an increase in global HCFC-141b emissions, starting in 2018, can be fully attributed to emissions from the HCFC-141b bank due to dispersive production reported to UNEP, or from other activities that may not be reported under the Montreal Protocol.
Next, we present overviews of the data sets and modelling approaches used in Sect. <xref ref-type="sec" rid="Ch1.S2"/>.
We then present estimates of global HCFC-141b emissions based on atmospheric measurements and reported consumption (Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>) and regional emission estimates for east Asia (Sect.  <xref ref-type="sec" rid="Ch1.S3.SS2"/>), Europe (Sect. <xref ref-type="sec" rid="Ch1.S3.SS3"/>), the United States (Sect. <xref ref-type="sec" rid="Ch1.S3.SS4"/>) and Australia (Sect. <xref ref-type="sec" rid="Ch1.S3.SS5"/>), followed by the conclusions (Sect. <xref ref-type="sec" rid="Ch1.S4"/>).</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Measurements</title>
      <p id="d1e911">We use measurements of dry-air atmospheric mole fractions from two global monitoring networks, the Advanced Global Atmospheric Gases Experiment (AGAGE, <xref ref-type="bibr" rid="bib1.bibx40" id="altparen.20"/>) and the United States National Oceanic and Atmospheric Administration (NOAA) Global Greenhouse Gas Reference Network <xref ref-type="bibr" rid="bib1.bibx30 bib1.bibx17 bib1.bibx18 bib1.bibx19" id="paren.21"/>.
Measurements from AGAGE and NOAA stations in the remote atmosphere were used separately to estimate global emissions.
Measurements from AGAGE stations provide regional emissions estimates for Europe, Australia and east Asia and NOAA stations for the United States.
Figure <xref ref-type="fig" rid="Ch1.F2"/> shows the locations of the measurement stations, and further information is summarised in Tables S1 and S2.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e924">Locations of the AGAGE (pink circles) and NOAA (green circles) measurement stations used in this work to estimate global and regional HCFC-141b emissions.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/9601/2022/acp-22-9601-2022-f02.png"/>

        </fig>

      <p id="d1e933">AGAGE HCFC-141b measurements are reported on the Scripps Institution of Oceanography (SIO) 2005 calibration scale.
The Medusa GC–MS instruments in Table S1 are cryogenic pre-concentration systems coupled with a gas chromatograph (GC, Agilent) and quadrupole mass selective detector (MSD) <xref ref-type="bibr" rid="bib1.bibx29 bib1.bibx2" id="paren.22"/>.
The ADS–GC–MS is an adsorption–desorption system with a gas chromatograph and mass spectrometer <xref ref-type="bibr" rid="bib1.bibx25" id="paren.23"/>.
AGAGE in situ atmospheric measurements were made with these systems approximately every 2 h (Medusa GC–MS) or 4 h (ADS–GC–MS).
Paired flask samples were collected at the Taunus observatory (Table S1) and analysed on a GC-quadrupole MSD <xref ref-type="bibr" rid="bib1.bibx50" id="paren.24"/>.
Before in situ measurements were available (1994 in the Northern Hemisphere and 1998 in the Southern Hemisphere), global emission estimates are based on archived air samples (historic air samples collected and stored).
Archived air samples from the Cape Grim Air Archive (CGAA, collected 1978–2009) for the Southern Hemisphere were measured in 2011 using Medusa GC–MS technology, also on the SIO-2005 scale <xref ref-type="bibr" rid="bib1.bibx11" id="paren.25"/>.
Several CGAA and 126 archived air samples taken at Trinidad Head and other locations in the Northern Hemisphere between 1973–2016 were measured at the Scripps Institution of Oceanography using Medusa GC–MS technology <xref ref-type="bibr" rid="bib1.bibx33 bib1.bibx57 bib1.bibx34" id="paren.26"/>.
These archived air samples can therefore be easily integrated with the later AGAGE in situ measurements.</p>
      <p id="d1e952">NOAA estimates of the global mean, remote atmospheric abundance of HCFC-141b considered here are derived from measurements of air samples pressurised into paired stainless-steel flasks that have been collected approximately weekly at eight remote sites since the earlier 1990s (see Table S2).
The flasks are shipped to Boulder for analysis on customised GC–MS  instruments <xref ref-type="bibr" rid="bib1.bibx30" id="paren.27"/>.
For deriving continental US emissions from atmospheric measurements, additional flask samples are regularly collected from tall towers (100–400 m a.g.l.; a single flask per sample, typically) and as profiles from aircraft (6 to 12 flasks collected at regular altitude intervals in a profile up to 8 km a.s.l.) at 17 profiling locations <xref ref-type="bibr" rid="bib1.bibx19" id="paren.28"/>.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Global emission modelling</title>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Measurement-based global emissions inference</title>
      <p id="d1e976">Global top-down emissions of HCFC-141b, and inferred global mole fractions, are estimated based on atmospheric mole fraction measurements from either the AGAGE or NOAA network, a 12-box model of global transport and inverse modelling.
The 12-box model simulates annually repeating advection and diffusion in the global atmosphere <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx43" id="paren.29"/> and separates the atmosphere at 30<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, the Equator and 30<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S and at 500 and 200 hPa.
The rate of reaction of HCFC-141b with the hydroxyl radical (OH) was taken from <xref ref-type="bibr" rid="bib1.bibx3" id="text.30"/>, and global mean OH concentrations were inferred in the box model based on observations of methyl chloroform <xref ref-type="bibr" rid="bib1.bibx43" id="paren.31"/>.
A first-order stratospheric loss was imposed to give a stratospheric lifetime of 72.3 years.
The overall lifetime of HCFC-141b was 9.3 years in the model.</p>
      <p id="d1e1006">The measurements from the AGAGE sites that are representative of background conditions in the semi-hemispheres of the 12-box model are used to estimate global emissions (MHD, THD, RPB, SMO and CGO; see Table S1) after measurements not representative of background conditions were removed using a statistical algorithm <xref ref-type="bibr" rid="bib1.bibx36" id="paren.32"/>.
When measurements are made in the same latitude band using multiple instruments (MHD and THD), the mean value is used.
AGAGE monthly mean estimates are based on one to a few archived air measurements or dozens to hundreds of in situ measurements.
NOAA measurements used as input to the 12-box model are shown in Table S2.
They were also filtered to select only those thought to be representative of background conditions, eliminating a small fraction of the entire data record (1.7 % of flask pairs).
Results were also eliminated when measured mole fractions in simultaneously filled flasks differ by more than 0.28 ppt (3.0 % of all flask pairs).
Monthly semi-hemispheric means were derived using a cosine weighting of site latitude.
See Tables S1 and S2 and Sect. <xref ref-type="sec" rid="Ch1.S2.SS1"/> for more details on the measurement sites and instruments used.</p>
      <p id="d1e1014">Emissions are estimated using an inverse framework <xref ref-type="bibr" rid="bib1.bibx44" id="paren.33"/>, through minimisation of a cost function that constrains the emissions growth rate between years.
A priori, the growth rate was assumed to be zero plus or minus 20 % of the maximum emissions from the EDGAR v4.2 bottom-up data set <xref ref-type="bibr" rid="bib1.bibx22" id="paren.34"/>.
Systematic uncertainties in the inferred emissions, in addition to the measurement error, are derived using a Monte Carlo approach, which includes errors due to transport, HCFC-141b lifetime (1 standard deviation uncertainty of 15 % was assumed, based on <xref ref-type="bibr" rid="bib1.bibx52" id="altparen.35"/>) and instrument calibration.
The mole fraction growth rate is calculated as the annual growth rate per month and is smoothed using a Kolmogorov–Zurbenko (KZ) filter <xref ref-type="bibr" rid="bib1.bibx63" id="paren.36"/> using an approximately 18-month window.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>Consumption-based global emissions modelling</title>
      <p id="d1e1037">We estimate emissions using reported global consumption data and an adaptation of the methodology employed by <xref ref-type="bibr" rid="bib1.bibx51" id="text.37"/>, where release rates from the reported bank are estimated to best reproduce the top-down global emissions estimates.
We call this approach a top-down-informed bank model.
In a given year, <inline-formula><mml:math id="M29" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>, total emissions to the atmosphere, <inline-formula><mml:math id="M30" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula>, are assumed to come from a combination of prompt releases in the year of consumption, <inline-formula><mml:math id="M31" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula> (due to losses during production and installation), and emissions from the existing HCFC-141b bank, <inline-formula><mml:math id="M32" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula>, following the relationship
              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M33" display="block"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>f</mml:mi><mml:msub><mml:mi>C</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi>g</mml:mi><mml:msub><mml:mi>B</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M34" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M35" display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula> are the prompt and bank release fractions, respectively, and remain constant over time.
The bank grows as
              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M36" display="block"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>f</mml:mi><mml:mo>)</mml:mo><mml:msub><mml:mi>C</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:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>g</mml:mi><mml:mo>)</mml:mo><mml:msub><mml:mi>B</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:math></disp-formula>
            We extend this approach by using separate consumption data for Article 5 and non-Article 5 countries, each with very different consumption patterns over time, which allows each to have their own prompt and bank release fractions (rather than the same release fraction, as used in <xref ref-type="bibr" rid="bib1.bibx51" id="altparen.38"/>).</p>
      <p id="d1e1178">To derive values for <inline-formula><mml:math id="M37" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M38" display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula> for both Article 5 and non-Article 5 countries, we use the top-down global emissions estimates and a statistical framework.
For this analysis, we only use emissions estimated using AGAGE data, as this measurement data set includes measurements of archived air samples, which predate the non-negligible global consumption, whereas the NOAA data do not.
We constrain <inline-formula><mml:math id="M39" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M40" display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula> using the top-down emissions and the relationship in Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>) in a Markov chain Monte Carlo framework, which allows uncertainties to be propagated throughout.
No prior constraint is placed on the value of <inline-formula><mml:math id="M41" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M42" display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula>, other than that they must be between 0 %–100 % with equal prior probability.
Under this framework, we simultaneously infer consumption in 2021, which had not been fully reported to UNEP at the time of writing, considering the uncertainties in the top-down emissions and release fractions.
For 2021, we assume that all consumption from non-Article 5 countries is less than 1 Gg yr<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (with equal probability for all values between 0–1 Gg yr<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and place no prior constraint on Article 5 consumption, other than it must be a positive value.
We make this assumption as, under the phase-out schedule, only very minor consumption (less than 0.5 % of baseline usage, which is around 0.2 ODP-Gg for all HCFCs, where ODP-Gg is the CFC-11 equivalent in terms of ozone-depleting potential) would be expected from non-Article 5 countries.
Consumption of HCFC-141b in 2020 for non-Article 5 countries was negative; i.e. more HCFC-141b was destroyed than consumed.
Therefore, it is reasonable to assume that any consumption, above minor usage, should only occur in Article 5 countries.
As such, it is possible to use the estimated 2021 consumption and estimates of release fraction to predict 2021 emissions (with the propagated uncertainty).</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Regional modelling</title>
      <p id="d1e1259">Regional emission estimates for east Asia were derived using four inverse methods: the Bristol Markov chain Monte Carlo (MCMC) inversion, Sect. <xref ref-type="sec" rid="Ch1.S2.SS3.SSS1"/>; InTEM, Sect.  <xref ref-type="sec" rid="Ch1.S2.SS3.SSS2"/>; EBRIS, Sect. <xref ref-type="sec" rid="Ch1.S2.SS3.SSS3"/>; and FLEXPART-MIT, Sect. <xref ref-type="sec" rid="Ch1.S2.SS3.SSS4"/>.
Regional emissions for northwest Europe (NW Europe) and Australia were derived using InTEM, Sect. <xref ref-type="sec" rid="Ch1.S2.SS3.SSS2"/>.
Regional emissions for the contiguous United States were derived using the NOAA framework, Sect. <xref ref-type="sec" rid="Ch1.S2.SS3.SSS5"/>.
Inverse methods were run with independent choices to a priori emissions, statistical models, transport set-ups and treatment of measurement data sets, in instances where multiple estimates were performed for the same region.</p>
<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>Bristol MCMC</title>
      <p id="d1e1282">Linear sensitivities of measured mole fraction to emissions (or “footprints”) were derived using the UK Met Office NAME model <xref ref-type="bibr" rid="bib1.bibx23" id="paren.39"/>.
Sensitivities were calculated for a computational domain bounded
at 5<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S and 74<inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 55 and 192<inline-formula><mml:math id="M47" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E.
Meteorology from the UK Met Office Unified Model (Met-UM Global, <xref ref-type="bibr" rid="bib1.bibx59" id="altparen.40"/>) drives the transport, which increases in resolution from
0.563 to 0.141<inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude and 0.375 to 0.094<inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude between 2008–2020.
The temporal resolution remained at 3 h throughout this period.
Around 20 000 particles were released each hour within the NAME model domain, and a measurement was deemed to be sensitive to emissions when a particle was transported within the lowest 40 m above ground level of the model domain.
Sensitivities were output on a grid of 0.234<inline-formula><mml:math id="M50" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude by 0.352<inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude.</p>
      <p id="d1e1355"><?xmltex \hack{\newpage}?>Emissions were estimated using a Bayesian Markov chain Monte Carlo inverse framework <xref ref-type="bibr" rid="bib1.bibx12 bib1.bibx49" id="paren.41"/> independently each year by scaling an a priori emissions field and the mole fraction contribution from the model boundary using measurements from Gosan station averaged into 12-hourly bins.
The a priori emissions field is 1.16 Gg yr<inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for eastern China, 0.13 Gg yr<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for South Korea, 0.17 Gg yr<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for western Japan and 0.17 Gg yr<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for North Korea.
Emissions were distributed equally in space over land with a log-normal uncertainty, where the distribution is described by the shape parameters <inline-formula><mml:math id="M56" display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula>, or log-median value, equal to 0.2, and <inline-formula><mml:math id="M57" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>, equal to 0.8.
The a priori mole fraction at the model boundary was taken from the AGAGE 12-box model <xref ref-type="bibr" rid="bib1.bibx44" id="paren.42"/>.
These were assigned a prior log-normal distribution, with <inline-formula><mml:math id="M58" display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula> equal to 0.004 and <inline-formula><mml:math id="M59" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> equal to 0.02.
In addition to the measurement error, which was assumed prior to inference, we estimated the model transport error in a normal likelihood, assigning it a log-normal prior distribution of <inline-formula><mml:math id="M60" display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula> equal to 0.2 and <inline-formula><mml:math id="M61" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> equal to 0.8.
The computational domain was divided into 151 basis functions using a quadtree algorithm, and the mole fractions at the boundaries were estimated in each cardinal direction <xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx62" id="paren.43"/>.
We used a No-U-Turn (NUTS) sampler to sample the emissions and boundary influence and a slice sampler to sample the model error <xref ref-type="bibr" rid="bib1.bibx48" id="paren.44"/> using 90 000 sampling steps (with an additional 10 000 discarded at the beginning of the sampling chain).
Convergence was checked using a Gelman–Rubin diagnostic <xref ref-type="bibr" rid="bib1.bibx13" id="paren.45"/> on multiple chains.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <label>2.3.2</label><title>InTEM</title>
      <p id="d1e1474">The InTEM inversion methodology is described in <xref ref-type="bibr" rid="bib1.bibx26" id="text.46"/>.
Briefly, the footprint sensitivities were generated using NAME as described in Sect. <xref ref-type="sec" rid="Ch1.S2.SS3.SSS1"/> using global UM data.
Emission estimates for east Asia were derived using measurement data from Gosan, averaged into 4-hourly time intervals.
Prior mean emissions in east Asia were uniformly distributed over all land areas within the computational domain, with total emissions equal to 50 Gg yr<inline-formula><mml:math id="M62" 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 a 1 standard deviation uncertainty equal to 300 % of the prior mean emissions.
This resulted in the following prior emissions: eastern China 2.6 <inline-formula><mml:math id="M63" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 24.3 Gg yr<inline-formula><mml:math id="M64" 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>, South Korea 0.3 <inline-formula><mml:math id="M65" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 8.7 Gg yr<inline-formula><mml:math id="M66" 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>, western Japan 0.4 <inline-formula><mml:math id="M67" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 9.9 Gg yr<inline-formula><mml:math id="M68" 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 North Korea 0.4 <inline-formula><mml:math id="M69" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 9.0 Gg yr<inline-formula><mml:math id="M70" 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>.</p>
      <p id="d1e1571">Emission estimates for Europe used measurement data from Mace Head, Jungfraujoch, Monte Cimone, Tacolneston and Taunus.
For Europe, the footprints were bounded by a computational domain of 10.6 to 79.2<inline-formula><mml:math id="M71" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 98.1<inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W to 39.6<inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E using global UM data nested with higher-resolution Unified Model meteorology over the United Kingdom and Ireland (UK-V, <xref ref-type="bibr" rid="bib1.bibx54" id="altparen.47"/>).
The prior emissions for countries in NW Europe were 0.1 <inline-formula><mml:math id="M74" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.4 Gg yr<inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for Belgium and Luxembourg, 1.8 <inline-formula><mml:math id="M76" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 18.1 Gg yr<inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for France, 1.1 <inline-formula><mml:math id="M78" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 13.5 Gg yr<inline-formula><mml:math id="M79" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for Germany, 0.3 <inline-formula><mml:math id="M80" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6.8 Gg yr<inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for  Ireland, 0.1 <inline-formula><mml:math id="M82" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.8 Gg yr<inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for the Netherlands and 1.1 <inline-formula><mml:math id="M84" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12.7 Gg yr<inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for the UK.</p>
      <p id="d1e1720">Emissions estimates for Victoria, Tasmania, southern and southwestern New South Wales, and eastern South Australia are based on measurements at Cape Grim, averaged every 4 h. They are then scaled by population (a factor of 2.6) to the whole of Australia.
Footprints were bound to a computational domain of 70.0 to 214.7<inline-formula><mml:math id="M86" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E and 65.0<inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S to 5.0<inline-formula><mml:math id="M88" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N.
The prior emissions for Australia were 0.4 <inline-formula><mml:math id="M89" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.0 Gg yr<inline-formula><mml:math id="M90" 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>, distributed by population density.</p>
      <p id="d1e1769">Prior boundary mole fractions at each station were estimated using a fourth-order polynomial fitted to measurements that were representative of background air, having little influence from populated areas, and refined within the InTEM framework (see <xref ref-type="bibr" rid="bib1.bibx26" id="altparen.48"/>).</p>
</sec>
<sec id="Ch1.S2.SS3.SSS3">
  <label>2.3.3</label><title>EBRIS</title>
      <p id="d1e1783">A detailed description of the Empa Bayesian Regional Inversion System (EBRIS) is given in <xref ref-type="bibr" rid="bib1.bibx15" id="text.49"/>.
The method used measurements from the Gosan station, averaged every 3 h, to derive emissions.
Footprint sensitivities for east Asia were derived using the FLEXPART transport model <xref ref-type="bibr" rid="bib1.bibx38" id="paren.50"/>, which was driven by operational ECMWF analysis meteorology with 1<inline-formula><mml:math id="M91" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M92" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1<inline-formula><mml:math id="M93" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
resolution, reducing to 0.2<inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M95" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.2<inline-formula><mml:math id="M96" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution for northeastern China (105 to
125<inline-formula><mml:math id="M97" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E and 30 to 50<inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N).
In each 3 h interval, 50 000 particles were released and tracked backward for 10 d.
Footprints were derived for a large northern hemispheric domain at a resolution of 0.125<inline-formula><mml:math id="M99" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M100" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.125<inline-formula><mml:math id="M101" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and a particle sampling height of 100 m.</p>
      <p id="d1e1887">Inversions were carried out independently for average annual emissions.
The inversion grid (state vector) was limited to the domain 80 to 140<inline-formula><mml:math id="M102" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E and 20 to 60<inline-formula><mml:math id="M103" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N.
Grid resolution was inversely proportional to the average footprint, with smaller grid cells (0.125<inline-formula><mml:math id="M104" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M105" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.125<inline-formula><mml:math id="M106" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) close to the measurement site and large grid cells (8<inline-formula><mml:math id="M107" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M108" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 8<inline-formula><mml:math id="M109" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) away from the measurement site.
Approximately 500 grid cells were included in the inversion grid, depending on the data coverage of individual years.</p>
      <p id="d1e1959">Baseline concentrations were estimated using the robust estimation of baseline signal (REBS) method <xref ref-type="bibr" rid="bib1.bibx47" id="paren.51"/> applied to the observations at Gosan.
Every 2 weeks baseline concentrations were part of the state vector and were optimised during the inversion step.</p>
      <p id="d1e1965">The same a priori emissions were assigned for each year in the inversion.
Homogeneous a priori distributions were prescribed in each of the seven focus regions (western China, 6.3 Gg yr<inline-formula><mml:math id="M110" 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>; eastern China, 6.7 Gg yr<inline-formula><mml:math id="M111" 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>; North Korea, 0.1 Gg yr<inline-formula><mml:math id="M112" 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>; South Korea, 1.0 Gg yr<inline-formula><mml:math id="M113" 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>; western Japan, 2.0 Gg yr<inline-formula><mml:math id="M114" 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>; eastern Japan, 0.6 Gg yr<inline-formula><mml:math id="M115" 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>; Taiwan, 0.2 Gg yr<inline-formula><mml:math id="M116" 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>).</p>
      <p id="d1e2054">The a priori covariance and data-mismatch covariance were estimated using a log-likelihood optimisation of parameters describing the covariance <xref ref-type="bibr" rid="bib1.bibx15" id="paren.52"/>. As part of this optimisation the domain total a priori uncertainty was determined to  be 140 % to 160 % varying from year to year.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS4">
  <label>2.3.4</label><title>FLEXPART-MIT</title>
      <p id="d1e2069">The FLEXPART-MIT inversion is described in <xref ref-type="bibr" rid="bib1.bibx9" id="text.53"/>.
The FLEXPART-MIT inversion also used FLEXPART to derive footprint sensitivities, but under a different setup to Sect. <xref ref-type="sec" rid="Ch1.S2.SS3.SSS3"/>.
In every 3 h interval, 40 000 particles were released and tracked backwards for 20 d.
Meteorology was driven by operational ECMWF analysis at 1<inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M118" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula>  1<inline-formula><mml:math id="M119" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> global resolution over a global computational domain.</p>
      <p id="d1e2102">A priori flux fields were spatially uniform over continental eastern Asia, with no emissions from the ocean.
Emissions were estimated using a variable-resolution grid.
The grid was finest (1<inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M121" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1<inline-formula><mml:math id="M122" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) in eastern China and other eastern Asian countries, and a coarser grid resolution (24<inline-formula><mml:math id="M123" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M124" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 24<inline-formula><mml:math id="M125" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) was used outside this area.
A priori emissions estimates of HCFC-141b were 14.5 Gg 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> for China (1.5 Gg yr<inline-formula><mml:math id="M127" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">−</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for eastern China) and 1.2, 0.27 and 0.27 Gg 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> for Japan, South Korea and North Korea, respectively.
Prior uncertainty was arbitrarily set to 1000 % of the a priori estimate, which assumed a spatial correlation length of 300 km.
The background mole fractions were estimated in 7 d periods.
Model–measurement uncertainty for each 24 h averaged observation was estimated using the quadratic sum of 1 % of the baseline value (as a measure of baseline uncertainty), the measurement repeatability and the standard deviation of the 24 h variability (as a measure of the model–data mismatch uncertainty).</p>
      <p id="d1e2192">The inverse framework utilises a Bayesian framework using an analytical solution to a normal likelihood and prior <xref ref-type="bibr" rid="bib1.bibx53" id="paren.54"/> for each year.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS5">
  <label>2.3.5</label><title>NOAA</title>
      <p id="d1e2206">The NOAA inversion framework was first presented in <xref ref-type="bibr" rid="bib1.bibx17" id="text.55"/> and is used to derive US emissions for a number of ozone-depleting substances and their substitutes <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx19" id="paren.56"/>.
A similar methodology was used here to derive US emissions of HCFC-141b for 2015–2020.
A total of six ensemble inversions with identical a priori emission fields were conducted for deriving US HCFC-141b emissions (three approaches to estimate background mole fraction using two transport models).
The US a priori HCFC-141b emissions were 4.1 Gg yr<inline-formula><mml:math id="M129" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and were scaled by population density to generate 1<inline-formula><mml:math id="M130" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M131" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1<inline-formula><mml:math id="M132" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> a priori emissions.
Prior uncertainties were estimated by maximum likelihood estimation <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx17" id="paren.57"/>.
Footprints were simulated by two transport models, the Hybrid Single-Particle Lagrangian Integrated Trajectory Model (HYSPLIT) for 2015–2020 and the Stochastic Time-Inverted Lagrangian Transport (STILT) model for 2015–2017.
The HYSPLIT model was run with 500 particles back in time for 10 d and driven by the North American Mesoscale Forecast System (NAMS) with ​​​​​​​40 sigma-pressure levels and 12 km horizontal resolution over the contiguous United States.
The NAMS meteorology was nested with a global meteorological field, the US National Centers for Environmental Prediction (NCEP) 0.5<inline-formula><mml:math id="M133" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> Global Data Assimilation System (GDAS0.5) with  ​​​​​​​55 sigma-pressure levels (before June 2019) and the NCEP 0.25<inline-formula><mml:math id="M134" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> Global Forecast System (GFS0.25) forecast model with  ​​​​​​​55 sigma-pressure levels (after June 2019).
The STILT simulation was also run with 500 particles back in time for 10 d.
It was driven by the Weather Research and Forecasting Model (WRF) with 10 km resolution over North America and 40 km resolution outside of North America.</p>
      <p id="d1e2274">Three different approaches were used to derive background HCFC-141b mole fractions for measurements made in the United States (see details described in <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx20" id="altparen.58"/>).
All three approaches were first based on a 3D background field (as a function of time, latitude and altitude) constructed from atmospheric observations far away from emission sources, i.e. those made over the Pacific Ocean and Atlantic Ocean basins near Earth’s surface and in the free troposphere above North America.
In the first approach, we estimated the background mole fraction associated with each measurement made in the United States by assigning mole fractions from this 3D background field based on the sampling time, latitude and altitude for measurements made in the United States.
In our second approach, we considered air back-trajectories for individual measurements made in the United States.
We estimated the time and location of each particle exiting the planetary boundary layer of the contiguous United States based on its back-trajectories and assigned the mole fraction from the 3D background at the exiting time and location.
The third background estimate for each measurement in the United States is an average of 500 background estimates based on the 500 back-trajectories.
In this third approach, we considered possible biases in transport simulations and lack of mole fraction information in the planetary boundary layer of the United States, because some particles remained in the planetary boundary layer of the United States after 10 d of running the transport model backward in time.
Thus, we applied a likely bias correction to the background derived from the second approach by comparing observed mole fractions with estimated background mole fractions for a subset of observations with minimal surface emission influence, i.e. summed footprint over populated areas (areas with more than 10 persons per square kilometre) less than 0.1 ppt (pmol m<inline-formula><mml:math id="M135" 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> s<inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)<inline-formula><mml:math id="M137" 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 final annual US emissions were reported as the ensemble mean and uncertainties from the six inversions.
The reported uncertainties are a 1-sigma uncertainty (<inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) calculated as
              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M139" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">s</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">6</mml:mn></mml:munderover><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:msqrt><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            <?xmltex \hack{\newpage}?><?xmltex \hack{\noindent}?>where <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the 1-sigma posterior uncertainty derived from each inversion; <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> denotes the 1-sigma spread of the posterior emissions derived from all six inversions.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Global mole fraction and emissions</title>
      <p id="d1e2421">As expected from the Montreal Protocol-mandated HCFC phase-out schedule, global emissions of HCFC-141b had been declining since 2012 <xref ref-type="bibr" rid="bib1.bibx30 bib1.bibx51 bib1.bibx6" id="paren.59"/>.
However, since 2017, an increase in emissions is evident from recent changes in the distribution and global mean mole fraction of HCFC-141b.
The growth rate of the global mole fractions had continuously slowed since 2012, and the global mole fractions started to decline during 2017 (Fig. <xref ref-type="fig" rid="Ch1.F3"/>a and b for AGAGE and NOAA, respectively).
Such a slow-down and decline are expected as emissions decrease and HCFC-141b present in the atmosphere is destroyed by reactions with the OH radical and photolysis in the stratosphere.
Since 2018, however, the rate of decline in global mole fraction slowed and, as of 2019, annual mean growth rates are positive again.
This increase is likely being driven by increased emissions in the Northern Hemisphere, as the increase in the growth rate in the Northern Hemisphere leads that in the Southern Hemisphere in recent years, just as it did in earlier periods when the global HCFC-141b growth rate and emissions were rapidly increasing (e.g. 1992–1996 and 2009–2012).
As of 2019 there is a growing difference between the observed mole fraction in the Northern Hemisphere and Southern Hemisphere (mean difference of 1.8 ppt in 2018 and 2.2 ppt in 2021).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e2431">HCFC-141b global and semihemispheric mole fraction (top), growth rate (middle) and north–south interhemispheric difference (bottom) derived from AGAGE <bold>(a)</bold> and NOAA <bold>(b)</bold> measurements. Lines show mole fractions in each semihemisphere derived with the 12-box model using available data, whilst the dots represent the observations as monthly means of background measurements from all sites within each semihemisphere for each network. The grey shading shows the 1 standard deviation estimate in the global mean mole fraction. The north–south interhemispheric difference is a 12-month rolling mean.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/9601/2022/acp-22-9601-2022-f03.png"/>

        </fig>

      <p id="d1e2446">Using AGAGE and NOAA measurements, we show that emissions of HCFC-141b started to increase again in 2018, despite the reported reduction in global dispersive production and consumption expected from the Montreal Protocol control schedules (Figs. <xref ref-type="fig" rid="Ch1.F1"/> and <xref ref-type="fig" rid="Ch1.F4"/>a).
Aggregated emissions from 2017 to 2021 have increased by an additional 4.4 <inline-formula><mml:math id="M142" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.9 (AGAGE) or 7.5 <inline-formula><mml:math id="M143" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.5 Gg (NOAA), an average linear increase at a rate of 1.1 <inline-formula><mml:math id="M144" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2  Gg yr<inline-formula><mml:math id="M145" 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> per year (AGAGE) or 1.6 <inline-formula><mml:math id="M146" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 Gg yr<inline-formula><mml:math id="M147" 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> per year (NOAA).
This assumes that all uncertainty is only due to the random error component of the emissions estimates (i.e. systematic uncertainty causes an offset in emissions and does not impact year-to-year variability).
Note that Fig. <xref ref-type="fig" rid="Ch1.F4"/> shows the uncertainty due to the combined random and systematic error components.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e2511"><bold>(a)</bold> HCFC-141b global emissions derived from AGAGE and NOAA measurements and derived from reported consumption data and estimated emission release fractions, where consumption has been predicted for 2021, assuming consumption in non-Article 5 countries is less than 1 Gg 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> and no constraints on Article 5 consumption. <bold>(b)</bold> A breakdown of HCFC-141b global emissions from Article 5 and non-Article 5 countries using the consumption-based emissions estimate, where 2021 consumption has been estimated from the top-down emissions data.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/9601/2022/acp-22-9601-2022-f04.png"/>

        </fig>

      <p id="d1e2537">To understand this reversal, we estimate global emissions of HCFC-141b using reported consumption data by adapting the approach taken by <xref ref-type="bibr" rid="bib1.bibx51" id="text.60"/>, as detailed in Sect. <xref ref-type="sec" rid="Ch1.S2.SS2.SSS2"/>.
We estimate the prompt release fraction to be 24 (17–31) % and 37 (36–39) % of the annual consumption for Article 5 and non-Article 5 countries, respectively (68 % uncertainty interval).
Our estimated annual bank release fraction is 3.6 (3.0–4.2) % from the remaining bank and 2.8 (1.9–3.9) % for Article 5 and non-Article 5 countries, respectively, and is assumed to be unchanged since 1989.
<xref ref-type="bibr" rid="bib1.bibx51" id="text.61"/> used an aggregated HCFC-141b prompt release fraction of 34.5 <inline-formula><mml:math id="M149" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.0 %, along with a bank release fraction of 2.2 %.
Our estimated released fractions thus broadly agree with that used by <xref ref-type="bibr" rid="bib1.bibx51" id="text.62"/> and that previously estimated for closed foams containing CFC-11 <xref ref-type="bibr" rid="bib1.bibx55" id="paren.63"/>, which is 25 %–35 % for the prompt release fraction and 1.5 %–4.2 % for the bank release fraction.
Using the reported consumption and estimated release fraction, we derive the respective emissions using the top-down-informed bank model.
Under the constraints of the top-down-informed bank model, we are able to estimate the necessary consumption needed to produce the observed top-down emissions in 2021, which has not yet been fully reported.
This uses the reported consumption until 2020 and the estimated emissions rate from the bank to estimate the needed 2021 consumption to reproduce the top-down emissions estimate.
This analysis, under the constraints of the model, suggests that consumption likely rose between 2020 and 2021, from 39 Gg yr<inline-formula><mml:math id="M150" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2020 to 67 (28–95) Gg yr<inline-formula><mml:math id="M151" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2021.
This consumption estimate for 2021 is very uncertain due to the uncertainty in the top-down-derived emissions, and so a decline in global emissions, and thus decline in consumption, cannot be excluded.
Increasing consumption between 2017–2020 is not possible in this model, due the constraints imposed by the reported production and bank behaviour.
An alternative conclusion that could be drawn from this analysis, under the assumption that reported consumption should decrease in 2021, is that the emissions rate from the bank has increased in more recent years, meaning that the inferred emissions rate, which is constant in time, is no longer representative and cannot adequately model emissions.</p>
      <p id="d1e2586">Figure <xref ref-type="fig" rid="Ch1.F4"/>a shows a comparison of the top-down atmospheric measurement-derived emissions, using the 12-box model (and without using information about reported consumption), and the emissions estimated using the top-down-informed bank model.
Although these estimates are unique, they are not independent due to both top-down estimates using the same methodology to derive emissions using AGAGE and NOAA measurements and the dependence of the top-down-informed bank model on the estimates using AGAGE measurements.
Figure <xref ref-type="fig" rid="Ch1.F4"/>b shows a breakdown of the mean emissions from non-Article 5 and Article 5 countries under the top-down-informed bank model using reported consumption data and assumptions inherent in the model, where 2021 consumption has been estimated.
This imposes that all consumption in 2021 (over a maximum of 1 Gg yr<inline-formula><mml:math id="M152" 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>) must come from Article 5 countries (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS2.SSS2"/>).</p>
      <p id="d1e2607">The timing of this increase in HCFC-141b emissions is nearly coincident with the rapid post-2018 global decline in CFC-11 emissions <xref ref-type="bibr" rid="bib1.bibx32" id="paren.64"/>, which may suggest that the enhanced apparent use and production of CFC-11 during 2012–2018, which was likely used for foam production, may have transitioned to HCFC-141b instead of transitioning to newer replacements.
An explanation for the recent rise in global HCFC-141b emissions is, however, further complicated by a lack of understanding of the time-dependent changes in emissions from the existing HCFC-141b bank.
<xref ref-type="bibr" rid="bib1.bibx61" id="text.65"/> suggest that HCFC-141b emissions in China are expected to peak in 2025–2027, 15 years after peak consumption in China.
This is attributed to the release of HCFC-141b from foams during the disposal of insulated refrigerators and electric water heaters at their end of life around 15 years after peak consumption.
If such a pattern predicted in China is applied to all developing countries, peak emissions from all developing countries would be expected around 2026–2027, 15 years after their peak consumption in 2011–2012, and could perhaps explain the observed emissions increase.
However, a study in Lahore, Pakistan, showed that HCFC-141b emissions due to waste and disposal of HCFC-141b-containing refrigerators fell between 2005 and 2013 <xref ref-type="bibr" rid="bib1.bibx58" id="paren.66"/>.
It may therefore not be appropriate to extrapolate the bottom-up-predicted bank emission trends in China to other developing countries, and there is likely considerable uncertainty and variation in the life cycle of appliances containing HCFC-141b foam and their disposal practices.</p>
      <p id="d1e2619">The top-down-informed bank model neglects emissions from feedstock and other so-called non-dispersive production.
A typical emissions factor associated with fluorochemical production is around 4 % <xref ref-type="bibr" rid="bib1.bibx21" id="paren.67"/>.
If applied to global feedstock production, additional feedstock-related emissions would be 0.5 Gg yr<inline-formula><mml:math id="M153" 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> between 2017–2020, not enough to explain the global increase, with no increasing trend.
Emissions factors from individual production facilities may vary considerably (0.1 %–20 %, 95 % uncertainty, <xref ref-type="bibr" rid="bib1.bibx21" id="altparen.68"/>).
A universal feedstock production leakage rate of 20 % in 2020 compared to 0.1 % in 2017 would be needed to explain the observed global increase in emissions.
This would result in an additional 3.0 Gg yr<inline-formula><mml:math id="M154" 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 emissions, compared to a mean global increase in the NOAA and AGAGE estimates of 3.0 <inline-formula><mml:math id="M155" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2 Gg yr<inline-formula><mml:math id="M156" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> during the same period.
A sustained rapid deterioration in feedstock production losses since 2017 seems an unlikely scenario to explain the global increase in emissions.</p>
      <p id="d1e2672">In the following section we turn to regional emissions estimates of HCFC-141b, where observations are available, to further diagnose the driver behind the global rise.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>East Asian emissions</title>
      <p id="d1e2683">Atmospheric measurement-based emissions estimates for east Asia are based on four different inverse methods using measurements from Gosan station, South Korea (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS1"/>), and are combined into a single estimate using Monte Carlo sampling.
These results provide emissions estimates for South Korea, North Korea and two regions that we denote eastern China (which includes the provinces of Anhui, Beijing, Hebei, Jiangsu, Liaoning, Shandong, Shanghai, Tianjin and Zhejiang) and western Japan (which includes the regions Chūgoku, Kansai, Kyūshū and Okinawa, and Shikoku), as measurements at Gosan have little sensitivity to emissions in western China or eastern Japan.</p>
      <p id="d1e2688">Emissions of HCFC-141b from eastern China show an increase in emissions from 3.7 (1.8–4.8) Gg yr<inline-formula><mml:math id="M157" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2008 to 6.8 (3.7–9.4) Gg yr<inline-formula><mml:math id="M158" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2020 and an increase of 1.0 (<inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.9</mml:mn></mml:mrow></mml:math></inline-formula>, 3.8) Gg yr<inline-formula><mml:math id="M160" 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> between 2017–2020.
The 2017–2020 increase in eastern China could account for around a third of the global increase over the same period (3.0 <inline-formula><mml:math id="M161" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2 Gg yr<inline-formula><mml:math id="M162" 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>, NOAA and AGAGE mean), but given the large uncertainties this could explain all or none of the global increase.
The mean emissions of the inverse frameworks (Fig. <xref ref-type="fig" rid="Ch1.F5"/>) generally agree well with bottom-up inventory estimates for China <xref ref-type="bibr" rid="bib1.bibx8" id="paren.69"/> scaled down to the eastern China region by population or gross domestic product from emissions from the whole of China (the range is shown by the orange shading in Fig. <xref ref-type="fig" rid="Ch1.F5"/>), given the uncertainties in the top-down modelling and the uncertainties likely present in the bottom-up model (which were not given in the study).
The top-down-derived emissions trend is also supported by the projected emissions of <xref ref-type="bibr" rid="bib1.bibx61" id="text.70"/>, although emissions projected by <xref ref-type="bibr" rid="bib1.bibx60" id="text.71"/> were expected to peak in 2018.
If the bottom-up-predicted emissions by <xref ref-type="bibr" rid="bib1.bibx61" id="text.72"/> and <xref ref-type="bibr" rid="bib1.bibx8" id="text.73"/> come to fruition, HCFC-141b emissions from China will continue to rise until the mid-2020s.
Our results presented here for eastern China contrast with top-down estimates presented for the whole of China in previous studies <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx64" id="paren.74"/>, which suggest a continual fall in emissions.</p>
      <p id="d1e2780">Emissions from South Korea (around 1–3 Gg yr<inline-formula><mml:math id="M163" 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 smaller than from eastern China, and it is uncertain whether they are increasing or decreasing.
Emissions from western Japan and North Korea are even smaller (generally less than around 1 Gg yr<inline-formula><mml:math id="M164" 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>).
Japan, in contrast to other east Asian countries, legislates the removal and destruction of HCFC refrigerants and HCFCs in foams within appliances through the Home Appliance Recycling Act <xref ref-type="bibr" rid="bib1.bibx16" id="paren.75"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e2813">Emissions estimates for east Asia. <bold>(a)</bold> Combined top-down emissions from four inversion frameworks for eastern China with their 68 % uncertainties (blue). Bottom-up emissions estimates for eastern China (orange) estimated by scaling down the <xref ref-type="bibr" rid="bib1.bibx8" id="text.76"/> estimate for the whole of China by either population or gross domestic product to eastern China. The shading shows the range between these two metrics for scaling. <bold>(b)</bold> Top-down estimates for South Korea, western Japan and North Korea.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/9601/2022/acp-22-9601-2022-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Northwestern European emissions</title>
      <p id="d1e2839">Emissions for northwestern Europe (Belgium, France, Germany, Ireland, Luxembourg, the Netherlands and the United Kingdom) were estimated using the InTEM inversion system, based on measurements from Mace Head in Ireland, starting in 1994, with additional measurements from Jungfraujoch in Switzerland from 2008, Monte Cimone in Italy from 2012, Tacolneston in the UK from 2012 and Taunus in Germany from 2013.
NW Europe sees a sharp fall in emissions after 2003, Fig. <xref ref-type="fig" rid="Ch1.F6"/>a, from 3.6 <inline-formula><mml:math id="M165" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.9 in 2003 to 2.2 <inline-formula><mml:math id="M166" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.0 Gg yr<inline-formula><mml:math id="M167" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2004 and then 1.3 <inline-formula><mml:math id="M168" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.9 Gg yr<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> in 2005, with timing consistent with the phase-down of HCFC production in those countries.
Emissions have steadily fallen since, reaching 0.4 <inline-formula><mml:math id="M170" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 Gg yr<inline-formula><mml:math id="M171" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2020.
Emissions from individual countries are presented in the Supplement.</p>
      <p id="d1e2909">Emissions in NW Europe peak coincidentally with high consumption in developed countries.
The European Union's Regulation (EC) 1005/2009 (and similar legislation in the UK) requires that appliance foam insulation controlled under the Montreal Protocol is recovered at disposal to be recycled or properly destroyed.
Therefore we expect relatively low end-of-life emissions in NW Europe, in comparison to the emissions rates in China, and our results provide evidence that such legislation has, likely, been effective.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e2914"><bold>(a)</bold> Annual InTEM emissions from northwestern Europe using a 2-year inversion period (blue) or only a single year (orange) and from the contiguous United States using two transport models, HYSPLIT (purple, 2015–2020) and STILT (black, 2015–2017). Bottom-up estimates for the United States are shown in green. <bold>(b)</bold> Annual InTEM emissions for Australia (pink) and bottom-up emissions estimated using consumption data (dark red).</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/9601/2022/acp-22-9601-2022-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Contiguous US emissions</title>
      <p id="d1e2936">Top-down emissions estimates for the contiguous United States from 2015 to 2020 (Fig. <xref ref-type="fig" rid="Ch1.F6"/>a) are derived from measurements made by NOAA's North American sampling network (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS3.SSS5"/> and <xref ref-type="sec" rid="Ch1.S2.SS1"/>) using two atmospheric transport models and the NOAA inversion framework (Sect. <xref ref-type="sec" rid="Ch1.S2.SS3.SSS5"/>, <xref ref-type="bibr" rid="bib1.bibx18" id="altparen.77"/>).
Taking an average of the two top-down estimates for the United States, emissions likely increased slightly between 2015 and 2017, with 5.5 <inline-formula><mml:math id="M172" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6 in 2015 and 6.4 <inline-formula><mml:math id="M173" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7 Gg yr<inline-formula><mml:math id="M174" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2017.
The HYSPLIT-NAM model estimate suggests that emissions remain unchanged in 2018 at 6.3 <inline-formula><mml:math id="M175" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6 and fall to 5.3 <inline-formula><mml:math id="M176" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.0 Gg yr<inline-formula><mml:math id="M177" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2020.
Bottom-up emissions estimates by the U.S. Environmental Protection Agency <xref ref-type="bibr" rid="bib1.bibx7" id="paren.78"/> over the same period (Fig. <xref ref-type="fig" rid="Ch1.F6"/>a) suggest that emissions fell from 8.6 in 2015 to 7.1 Gg yr<inline-formula><mml:math id="M178" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2017 to 6.7 Gg yr<inline-formula><mml:math id="M179" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2020.
The reason for the discrepancy in the trend between the top-down and bottom-up estimates in 2015–2016 is unclear; however both show only small changes in emissions between 2017–2020.
The NOAA top-down estimates are 10 %–40 % smaller than the U.S. EPA bottom-up estimates (assuming that the non-contiguous states and territories are not responsible for the discrepancy).</p>
      <p id="d1e3033">Consumption of HCFCs in the United States from 2002 to 2003 fell to around half and has continued to decline.
The U.S. EPA emission estimate suggests peak emissions many years after a peak consumption, different from what the NW European top-down emissions show and more similar to bottom-up projections for China.
The reason for a slowing in the decline of emissions since 2017 is not fully clear, but the bottom-up model suggests that it may be due to post-disposal emissions from polyurethane foams used for domestic refrigerator and freezer insulation, occurring during the 26 years following disposal <xref ref-type="bibr" rid="bib1.bibx7" id="paren.79"/>.
This assumes that domestic refrigerators and freezers have a lifetime of 14 years and that the leakage post-disposal (2 %) is higher than that during the appliance lifetime (0.25 %).
In the United States, a gradual increase in HCFC-141b emissions due to the disposal of domestic refrigerants following a peak in consumption may be occurring, much like that predicted to occur in China, offsetting reductions in other banks.
Unlike the European Union, which mandates destruction of HCFC-141b within refrigerator foams, the U.S. EPA's Responsible Appliance Disposal (RAD) Program is voluntary.
This may explain different US and European HCFC-141b emission patterns, despite similar consumption patterns.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Australian emissions</title>
      <p id="d1e3048">Top-down HCFC-141b emissions estimates using InTEM show that emissions in Australia have remained largely constant from 2000 to 2021, perhaps showing a slight decline (Fig. <xref ref-type="fig" rid="Ch1.F6"/>b).</p>
      <p id="d1e3053">Australia has not produced or exported HCFC-141b, and therefore HCFC-141b consumption is governed by imports, assuming that no significant stockpiling for later use occurred.
Australian HCFC-141b imports/consumption commenced in the early 1990s, reaching 0.8–0.9 Gg in 1999 and then declining to zero by 2012, well ahead of the mandated HCFC phase-out schedule <xref ref-type="bibr" rid="bib1.bibx5" id="paren.80"/>.
From 1991 to 2012, Australian HCFC-141b imports totalled 7.8 Gg.</p>
      <p id="d1e3059">Assuming that emissions have therefore only come from the bank, and using the emissions factor derived for non-Article 5 countries from Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>, we derive a bottom-up emissions estimate based on consumption in Australia.
The bottom-up model likely underestimates the emissions release rate because prompt emissions, which we assume to include emissions during installation and immediate usage, have not been included.
The top-down and bottom-up estimates for Australia generally agree, given the large uncertainties.
Australia has no laws to mandate the destruction of HCFCs within appliance-insulating foams at disposal.
However, there is no obvious increase in HCFC-141b emissions in Australia in recent years due to an increase in the rate of emissions from foam-containing appliances when they reach their end of life (within uncertainties).</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e3073">For 5 years after the reported 2012 peak in HCFC-141b production, global emissions of the ozone-depleting substance HCFC-141b declined.
However, the trend reversed and emissions increased by 3.0 <inline-formula><mml:math id="M180" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2 Gg yr<inline-formula><mml:math id="M181" 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> or 6 % from 2017 to 2021, even though reported production for dispersive uses continued to decrease.
This timing is similar to a decline in global emissions of CFC-11, the ozone-depleting substance replaced by HCFC-141b for foam blowing, following a period of increasing global CFC-11 emissions, of which 60 <inline-formula><mml:math id="M182" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 40 % could be attributed to eastern China <xref ref-type="bibr" rid="bib1.bibx37" id="paren.81"/>.
Due to a current incomplete understanding of the size and behaviour of the global HCFC-141b bank, it is uncertain whether the emission rise is due to unreported production for dispersive uses, as suggested by a simple bottom-up model constrained by measurement-derived emissions; due to emissions at the end of life of foam-containing products; or due to a combination thereof.</p>
      <p id="d1e3105">An increase due to emissions from the bank is suggested by bottom-up emissions projections for China due to the disposal of appliances containing HCFC-141b foam, without destroying the HCFC-141b.
However, according to bottom-up and top-down estimates, emissions from China alone cannot fully explain the global rise.
This pattern of bank-related emissions years after peak consumption may not apply to other developing countries.
Emissions in the United States and Australia, where there are no strict requirements in place for the destruction of HCFCs upon appliance disposal, do not show evidence of declining, or increasing, emissions in recent years.
This contrasts with the European Union, which mandates more complete HCFC destruction upon disposal, where emissions have decreased continuously since the phase-out of consumption began.
A lack of declining emissions in the United States and Australia may support the argument that a change in emissions rates from the foam banks after the disposal of foam-containing appliances is driving the rise in emissions.</p>
      <p id="d1e3108">Emissions of HCFC-141b feedstock is unlikely to be the cause of the global increase, unless emission rates during production have rapidly increased, from near-zero losses to around a fifth of production.
The amount and fate of HCFC-141b produced as a byproduct are unknown, and we have no evidence to suggest that this pathway leads to significant emissions or would have changed substantially since 2017 in a way that could explain the global emission increase.</p>
      <p id="d1e3111">The regional-scale emissions considered here only account for around 30 % of global emissions in 2020.
The combined regional-scale emissions decreased by 2.3 <inline-formula><mml:math id="M183" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.6 Gg yr<inline-formula><mml:math id="M184" 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> between 2017–2020, compared to a mean global increase in the NOAA and AGAGE estimates of 3.0 <inline-formula><mml:math id="M185" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2 Gg yr<inline-formula><mml:math id="M186" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> during the same period.
It seems likely that a substantial recent increase in emissions is coming from regions that we have not studied here.</p>
      <p id="d1e3153">We cannot demonstrate a conclusive driver behind the 2017–2021 increase in global emissions, given the information available.
A better understanding of the behaviour of the HCFC-141b bank and its expected emissions, and more widespread measurement-based emissions monitoring, would aid in understanding the causes for the current rise in HCFC-141b emissions.</p>
</sec>

      
      </body>
    <back><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d1e3161">AGAGE data are available at <uri>http://agage.mit.edu/data/agage-data</uri> (last access: 17 March 2022) and <uri>https://doi.org/10.15485/1841748</uri> <xref ref-type="bibr" rid="bib1.bibx39" id="paren.82"/>.
NOAA atmospheric observations are available at the NOAA atmospheric observations are available at the NOAA/GML website (updated from Montzka et al., 2015; <uri>https://gml.noaa.gov/hats/</uri>, last access: 6 April 2022).
Measurements of archived air samples are available in the Supplement.
The 12-box model and the inverse method used to quantify emissions are available via GitHub, <uri>https://github.com/mrghg/py12box</uri> (last access: 20 July 2022), <uri>https://github.com/mrghg/py12box_invert</uri> (last access: 20 July 2022), and Zenodo (<ext-link xlink:href="https://doi.org/10.5281/zenodo.6857447" ext-link-type="DOI">10.5281/zenodo.6857447</ext-link>, <xref ref-type="bibr" rid="bib1.bibx41" id="altparen.83"/>, <ext-link xlink:href="https://doi.org/10.5281/zenodo.685779" ext-link-type="DOI">10.5281/zenodo.685779</ext-link>, <xref ref-type="bibr" rid="bib1.bibx42" id="altparen.84"/>).
Inputs to this model are available in the Supplement.
The NAME model and InTEM models are available for research purposed via request to the UK Met Office (enquiries@metoffice.gov.uk) or on request to Alistair J. Manning  or Alison L. Redington.
The FLEXPART model is available from <uri>https://www.flexpart.eu</uri> <xref ref-type="bibr" rid="bib1.bibx38" id="paren.85"/>.
The EBRIS algorithm is available from <uri>https://doi.org/10.5281/zenodo.1194642</uri> <xref ref-type="bibr" rid="bib1.bibx14" id="paren.86"/>.
The Bristol MCMC inversion code is available at <uri>https://github.com/ACRG-Bristol/acrg</uri> (last access: 20 July 2022) (<ext-link xlink:href="https://doi.org/10.5281/zenodo.6834888" ext-link-type="DOI">10.5281/zenodo.6834888</ext-link>, <xref ref-type="bibr" rid="bib1.bibx46" id="altparen.87"/>).
The code for the FLEXPART-MIT inversion is available from Xuekun Fang  upon request.
The code for the NOAA inversion is available from Lei Hu upon request.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e3217">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-22-9601-2022-supplement" xlink:title="zip">https://doi.org/10.5194/acp-22-9601-2022-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e3226">LMW led the writing of the manuscript with contributions from ALR, AJM, CMT, LH, SH, JM, SR, MKV, SAM, MR​​​​​​​, and all other coauthors. LWM, ALR, AJM, CMT, LH, SH and XF performed inverse modelling. LJMK  provided data on reported consumption and production. DSG provided bottom-up US HCFC-141b emissions. LJMK, CT and DSG provided input on HCFC-141b uses, the behaviour of the banks and appliance life cycles. BD provided data and analysis on Australian consumption and emissions. JM assisted with data curation. JA, AE, PJF, CMH, PBK, MM, SAM, JM, SO'D, HP, SP, SR, PKS, DS, RS, TS, CS, KMS, IV, MKV and DY provided measurement data. SAM, RGP, MR and RFW provided oversight to the work and the measurement networks.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e3232">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e3238">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><notes notes-type="sistatement"><title>Special issue statement</title>

      <p id="d1e3244">This article is part of the special issue “Atmospheric ozone and related species in the early 2020s: latest results and trends (ACP/AMT inter-journal SI)”. It is a result of the 2021 Quadrennial Ozone Symposium (QOS) held online on 3–9 October 2021.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3250">We thank the site operators for their continued support to maintain the measurements at the AGAGE and NOAA stations and the NOAA and CIRES personnel for technical and logistical support of facilitating the collection of tower and aircraft samples throughout North America.
We thank Arlyn Andrews for providing the WRF-STILT footprints and Nada Derek for Cape Grim data analysis.
We greatly thank Phil DeCola for supporting some of NOAA's inverse modelling analyses.
The NASA Upper Atmosphere Research Program supports AGAGE (including partial support of Mace Head, Ragged Point and Cape Grim and full support of Trinidad Head and Cape Matatula) through grant NNX16AC98G to MIT and grants NNX16AC96G and NNX16AC97G to SIO and multiple preceding grants.
Mace Head and Tacolneston station and InTEM are supported by the UK Department of Business, Energy and Industrial Strategy (BEIS contract 1537/06/2018).
Cape Grim station is supported by the Australian Bureau of Meteorology, CSIRO, the Australian Department of Agriculture, Water and the Environment (DAWE), and Refrigerant Reclaim Australia (RRA).
Funding for NOAA measurements was provided in part by the NOAA Climate Program Office's Atmospheric Chemistry, Carbon Cycle, and Climate (AC4) Program and by the NOAA Cooperative Agreement with CIRES, NA17OAR4320101.
NOAA's HYSPLIT-NAMS footprints simulations were supported by NOAA Climate Program Office’s AC4 programme and Climate Observations and Monitoring (COM) programme, grant number NA21OAR4310233.
NOAA's inverse modelling analysis was partially supported by the Grantham foundation and GIST.earth LLC.
Computation at the University of Bristol was carried out by the University of Bristol BluePebble high-performance computing facility.
FLEXPART simulations were carried out at the Swiss National Supercomputing Centre (CSCS) under project ID s862.
Luke M. Western received funding from the European Union’s Horizon 2020 research and innovation programme under Marie Skłodowska-Curie grant agreement no. 101030750. Luke M. Western and Matthew Rigby were also supported by Natural Environment Research Council (NERC) grants NE/N016548/1 and R100529-101. Alistair J. Manning and Alison L. Redington are supported by the Met Office Hadley Centre Climate Programme, funded by the UK’s Department for Business, Energy and Industrial Strategy and Department for Environment, Food and Rural Affairs. Sunyoung Park and Hyeri Park are supported by the National Research Foundation of Korea (NRF) grant funded by the South Korean government (MSIT) (no. 2020R1A2C3003774). Lambert J. M. Kuijpers is supported by the Ozone Secretariat in Nairobi, which is partly funded for supporting this work by grants from the European Commission, Brussels.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e3255">This research has been supported by the H2020 Marie Skłodowska-Curie Actions (grant no. 101030750); the National Aeronautics and Space Administration (grant nos. NNX16AC98G, NNX16AC96G, and NNX16AC97G); the Department for Business, Energy and Industrial Strategy, UK Government (grant no. 1537/06/2018); the Climate Program Office (grant no. NA21OAR4310233); the Natural Environment Research Council (grant nos. NE/N016548/1 and R100529-101); and the National Research Foundation of Korea (grant no. 2020R1A2C3003774).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e3261">This paper was edited by Gabriele Stiller and reviewed by two anonymous referees.</p>
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