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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-19-3271-2019</article-id><title-group><article-title><inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in an emission hot-spot region: the COCCON Paris<?xmltex \hack{\break}?> campaign 2015</article-title><alt-title><inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in an emission hot-spot region: the COCCON Paris campaign 2015</alt-title>
      </title-group><?xmltex \runningtitle{{$\chem{XCO_{2}}$} in an emission hot-spot region: the COCCON Paris campaign 2015}?><?xmltex \runningauthor{F.~R. Vogel et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff9">
          <name><surname>Vogel</surname><given-names>Felix R.</given-names></name>
          <email>felix.vogel@canada.ca</email>
        <ext-link>https://orcid.org/0000-0002-2548-3390</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Frey</surname><given-names>Matthias</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff9">
          <name><surname>Staufer</surname><given-names>Johannes</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Hase</surname><given-names>Frank</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Broquet</surname><given-names>Grégoire</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff9">
          <name><surname>Xueref-Remy</surname><given-names>Irène</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Chevallier</surname><given-names>Frédéric</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4327-3813</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Ciais</surname><given-names>Philippe</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6 aff10">
          <name><surname>Sha</surname><given-names>Mahesh Kumar</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1440-1529</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Chelin</surname><given-names>Pascale</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Jeseck</surname><given-names>Pascal</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Janssen</surname><given-names>Christof</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1131-5385</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Té</surname><given-names>Yao</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Groß</surname><given-names>Jochen</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Blumenstock</surname><given-names>Thomas</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Tu</surname><given-names>Qiansi</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Orphal</surname><given-names>Johannes</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Climate Research Division, Environment and Climate Change Canada,
Toronto, Canada</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Karlsruhe Institute of Technology (KIT), Institute of Meteorology and
Climate Research (IMK), Karlsruhe, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Thales, Labège, France</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Laboratoire des Sciences du Climat et de l'Environnement (LSCE), IPSL,
CEA-CNRS-UVSQ, <?xmltex \hack{\break}?>Université Paris-Saclay, Gif-sur-Yvette, France</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Observatoire de Haute-Provence, OSU Pytheas, Saint-Michel-l'Observatoire,
France</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Royal Belgian Institute for Space Aeronomy, Brussels, Belgium</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Laboratoire Inter-Universitaire des Systèmes Atmosphériques
(LISA), (CNRS UMR 7583, Université Paris <?xmltex \hack{\break}?>Est Créteil, Université
Paris Diderot, Institut Pierre Simon Laplace), Créteil, France</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Laboratoire d'Études du Rayonnement et de la Matière en
Astrophysique et Atmosphères (LERMA), IPSL, <?xmltex \hack{\break}?>Sorbonne Universités,
(CNRS, PSL Research University, Observatoire de Paris), Paris, France</institution>
        </aff>
        <aff id="aff9"><label>a</label><institution>formerly at: Laboratoire des Sciences du Climat et de l'Environnement (LSCE), IPSL,
CEA-CNRS-UVSQ, <?xmltex \hack{\break}?>Université Paris-Saclay, Gif-sur-Yvette, France</institution>
        </aff>
        <aff id="aff10"><label>b</label><institution>formerly at: Institute of Meteorology and
Climate Research (IMK), Karlsruhe Institute of Technology (KIT), <?xmltex \hack{\break}?> Karlsruhe, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Felix R. Vogel (felix.vogel@canada.ca)</corresp></author-notes><pub-date><day>13</day><month>March</month><year>2019</year></pub-date>
      
      <volume>19</volume>
      <issue>5</issue>
      <fpage>3271</fpage><lpage>3285</lpage>
      <history>
        <date date-type="received"><day>14</day><month>June</month><year>2018</year></date>
           <date date-type="rev-request"><day>25</day><month>July</month><year>2018</year></date>
           <date date-type="rev-recd"><day>24</day><month>January</month><year>2019</year></date>
           <date date-type="accepted"><day>8</day><month>February</month><year>2019</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2019 Felix R. Vogel et al.</copyright-statement>
        <copyright-year>2019</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/19/3271/2019/acp-19-3271-2019.html">This article is available from https://acp.copernicus.org/articles/19/3271/2019/acp-19-3271-2019.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/19/3271/2019/acp-19-3271-2019.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/19/3271/2019/acp-19-3271-2019.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e321">Providing timely information on urban greenhouse gas (GHG) emissions and
their trends to stakeholders relies on reliable measurements of atmospheric
concentrations and the understanding of how local emissions and atmospheric
transport influence these observations.</p>
    <p id="d1e324">Portable Fourier transform infrared (FTIR) spectrometers were deployed at five stations
in the Paris metropolitan area to provide column-averaged
concentrations of <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)  during a field campaign in spring of
2015, as part of the Collaborative Carbon Column Observing Network (COCCON).
Here, we describe and analyze the variations of <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observed at
different sites and how they changed over time. We find that observations
upwind and downwind of the city centre differ significantly in their
<inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations, while the overall variability of the daily cycle
is similar, i.e. increasing during night-time with a strong decrease
(typically 2–3 ppm) during the afternoon.</p>
    <?pagebreak page3272?><p id="d1e371">An atmospheric transport model framework (CHIMERE-CAMS) was used to simulate
<inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and predict the same behaviour seen in the observations, which
supports key findings, e.g. that even in a densely populated region like
Paris (over 12 million people), biospheric uptake of <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> can be of
major influence on daily <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> variations. Despite a general offset
between modelled and observed <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the model correctly predicts the
impact of the meteorological parameters (e.g. wind direction and speed) on
the concentration gradients between different stations. When analyzing local
gradients of <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for upwind and downwind station pairs, those local gradients are found to
be less sensitive to changes in <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> boundary conditions and biogenic
fluxes within the domain and we find the model–data agreement further
improves. Our modelling framework indicates that the local <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
gradient between the stations is dominated by the fossil fuel <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
signal of the Paris metropolitan area. This further highlights the potential
usefulness of <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observations to help optimize future urban GHG
emission estimates.</p>
  </abstract>
    </article-meta>
  <notes notes-type="copyrightstatement">
  
      <p id="d1e483">The works published in this journal are distributed under
the Creative Commons Attribution 4.0 License. This license does not affect
the Crown copyright work, which is re-usable under the Open Government
Licence (OGL). The Creative Commons Attribution 4.0 License and the OGL are
interoperable and do not conflict with, reduce or limit each
other.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> © Crown copyright 2019</p>
</notes></front>
<body>
      

      <?xmltex \hack{\allowdisplaybreaks}?>

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e495">Atmospheric background concentrations of <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measured since 1958 in
Mauna Loa, USA, have passed the symbolic milestone of 400 ppm (monthly mean)
as of 2013 (Jones, 2013). Properly quantifying fossil fuel <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
emissions (<inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FFCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) can contribute to defining effective climate
mitigation strategies. We focus our attention on cities, which are a critical part of
this endeavour as emissions from
urban areas are currently estimated to represent from 53 % to 87 % of
global <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FFCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, depending on the accounting method considered, and are
predicted to increase further (IPCC, 2013; IEA, 2008;
Dhakal, 2009). As stated in the IPCC Fifth assessment report, “current
and future urbanization trends are significantly different from the past”
and “no single factor explains variations in per capita emissions across
cities and there are significant differences in per capita greenhouse gas
(GHG) emissions between cities within a single country” (IPCC, 2014).
Therefore, findings in one city can often not be simply extrapolated to other
urban regions. Furthermore, the large uncertainty of the global contribution
of urban areas to <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions today and in the future is why a new
generation of city-scale observing and modelling systems is needed.</p>
      <p id="d1e553">In recent years, more and more atmospheric networks have emerged that
observe GHG concentrations using the atmosphere as a large-scale integrator,
for example in Paris, France (e.g. Bréon et al., 2015; Xueref-Remy et
al., 2018), Indianapolis, USA (e.g. Turnbull et al., 2015; Lauvaux et al.,
2016); Salt Lake City, USA (Strong et al., 2011; Mitchell et al., 2018);
Heidelberg, Germany (e.g. Levin et al., 2011; Vogel et al., 2013); and Toronto,
Canada (e.g. Vogel et al., 2012). The air measured at in situ ground-based
stations is considered to be representative of surface <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes of a
larger surrounding area (1–10 000 km<inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>), i.e. the emissions of
the greater Paris area dominate the airshed of Île-de-France
(ca. 12 000 km<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) (Staufer et al., 2016). If <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements are performed both
upwind and downwind of a city, the concentration gradient between the two
locations is influenced by the local net flux strength between both sites
and atmospheric mixing (Bréon et al., 2015;
Turnbull et al., 2015; Xueref-Remy et al., 2018). To derive quantitative flux estimates, measured
concentration data are typically assimilated into numerical atmospheric
transport models which calculate the impact of atmospheric mixing on
concentration gradients for a given flux space–time distribution. Such a
data assimilation framework implemented for Paris with three atmospheric
<inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurement sites (Xueref-Remy et al., 2018) previously allowed
the
derivation of quantitative estimates of monthly emissions and their uncertainties
over 1 year (Staufer et al., 2016).</p>
      <p id="d1e607">Space-borne measurements of the column-average dry air mole fraction of
<inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) are increasingly considered for the monitoring of urban
<inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. This potential was shown with OCO-2 and GOSAT <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
measurements, even though the spatial coverage and temporal sampling
frequency of these two instruments were not optimized for <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FFCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Kort
et al., 2012; Janardanan et al., 2016; Schwandner et al., 2017), while other
space-borne sensors dedicated to <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FFCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and with an imaging capability
are in preparation (O'Brien et al., 2016; Broquet et al., 2018). Important
challenges of satellite measurements are that they are not as accurate as
in situ ones, having larger systematic errors, while the <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> gradients in the column are typically 7–8 times smaller than in the
boundary layer. Another difficulty of space-borne imagery with passive
instruments is that they will only sample city <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> plumes during clear-sky conditions for geostationary satellites and with an additional
constraint to observations at around midday for low-Earth-orbiting
satellites.</p>
      <p id="d1e699">The recent development of a robust portable ground-based FTIR (Fourier
transform infrared) spectrometer as described in Gisi et al. (2012) and Hase
et al. (2015, 2016) (EM27/SUN, Bruker Optik, Germany) greatly facilitates the
measurement of <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the surface, with better accuracy than from
space and with the possibility of continuous daytime observation during
clear-sky conditions. Typical compatibility (uncorrected bias) of the
EM27/SUN retrievals of the different instruments in a local network is
better than 0.01 % (i.e. 0.04 ppm) after a careful calibration
procedure and a harmonized processing scheme for all spectrometers (Frey et al., 2015).
The Collaborative Carbon Column Observing Network (COCCON) (Frey
et al., 2018) intends to offer such a framework for operating the EM27/SUN.
This type of spectrometer therefore represents a remarkable opportunity to
document <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> variability in cities as a direct way to estimate
<inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FFCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Hase et al., 2015) or in preparation of satellite missions.</p>
      <p id="d1e736">When future low-Earth-orbit operational satellites with passive imaging
spectrometers of suitable capabilities to invert <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FFCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sample
different cities, this will likely be limited to clear-sky conditions and at
a time of the day close to local noon. Increasing the density of the COCCON
network stations around cities will allow us to evaluate those <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
measurements and to monitor <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> during the early morning and
afternoon periods, which will not be sampled with low-Earth-orbit satellites.
From geostationary orbit, which<?pagebreak page3273?> can also have other benefits, those
time periods can however be observed and could be compared to ground-based
measurements (e.g. Butz et al., 2015; O'Brien et al., 2016).</p>
      <p id="d1e772">This study focuses on the measurements of <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from ground-based
EM27/SUN spectrometers deployed within the Paris metropolitan area during a
field campaign in the spring of 2015 and modelling results. This campaign
can be seen as a demonstration of the COCCON network concept applied to the
quantification of an urban <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FFCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> source. Several spectrometers were
operated by different research groups, while closely following the common
procedures suggested by Frey et al. (2015). The paper is organized as
follows. After the instrumental and modelling setup descriptions of Sect. 2,
the observations of the field campaign and the modelling results will be
presented in Sect. 3. Results are discussed in Sect. 4 together with the
study conclusions.</p>
</sec>
<sec id="Ch1.S2">
  <title>Methods and materials</title>
<sec id="Ch1.S2.SS1">
  <title>Description of study area and field campaign design</title>
      <p id="d1e808">During the COCCON field campaign (28 April    to 13 May 2015) five
portable FTIR spectrometers (EM27/SUN, Bruker Optik, Karlsruhe, Germany)
were deployed in the Parisian region (administratively known as
Île-de-France) and within the city of Paris. The campaign was conducted in early spring
as the cloud cover is typically low in April and May and the time between
sunrise and sunset is more than 14 h.</p>
      <p id="d1e811">The Paris metropolitan area houses over 12 million people, with about
2.2 million inhabiting the city of Paris. This urban region is the most
densely populated in France with <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> inhabitants/km<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> and over
21 000 inhabitants/km<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> for the city of Paris itself (INSEE, 2016). The estimated <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from the metropolitan
region are 39 Mt yr<inline-formula><mml:math id="M46" 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>, according to the air quality association AIRPARIF
(Association de surveillance de la qualité de l'air en
Île-de-France), which monitors the airshed of greater Paris. On-road
traffic emissions and the residential and tertiary (i.e. commercial) sectors are
the main sources (accounting for over 75 %), and there are minor contributions from
other sectors such as industrial sources and airports
(<uri>https://www.airparif.asso.fr/en/</uri>, AIRPARIF, 2016). It was crucial to
understand the spatial distribution of these <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sources to optimally
deploy the COCCON spectrometers. To this end a 1 km emission model for
France by IER (Institut für Energiewirtschaft und Rationelle
Energieanwendung, University of Stuttgart, Germany) was used as a starting
point (Latoska, 2009). This emission inventory is based on the available
activity data such as, for example, traffic counts, housing statistics, or energy
use, and the temporal disaggregation was implemented according to Vogel et
al. (2013). In brief, the total emissions of the IER model were rescaled to
match the temporal factors for the different emission sectors according to
known national temporal emission profiles.</p>
      <p id="d1e881">To quantify the impact of urban emissions on <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the FTIR instruments
were deployed along the dominant wind directions in this region in spring,
i.e. southwesterly (Staufer et al., 2016), in order to maximize the
likelihood to capture upwind and downwind air masses (see Fig. 1). The two
southwesterly sites (GIF and RES; see Table 2 for site abbreviations) are located in a less densely populated
area, where emissions are typically lower than in the city centre, where the
station JUS is located. The data in Fig. 1 show that the densest <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FFCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
emission area extends northwards and eastwards. The two northwesterly sites
(PIS and MIT) were placed downwind of this area. All instruments were
operated manually and typically started operation at around 07:00–08:00 local time
from which they continuously observe <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> until 17:00–18:00 LT.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><label>Figure 1</label><caption><p id="d1e919"><inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in the Île-de-France region according to
the IER emission inventory. Measurement sites are indicated by red crosses.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/3271/2019/acp-19-3271-2019-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <title>Instrumentation, calibration, and data processing</title>
      <p id="d1e944">The EM27/SUN is a portable FTIR spectrometer which has been described in
detail in Gisi et al. (2012) and Frey et al. (2015), for example. Here, only a
short overview is given. The centrepiece of the instrument is a Michelson
interferometer which splits up the incoming solar radiation into two beams.
After inserting a path difference between the beams, the partial beams are
recombined. The modulated signal is detected by an InGaAs detector covering
the spectral domain from 5000 to 11000 cm<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> and is called an
interferogram. As the EM27/SUN analyzes solar radiation, it can only operate
in sunny daylight conditions. A Fourier transform of the interferogram
generates the spectrum and a DC correction is applied to remove the
background signal and only keep the AC signal (see Keppel-Aleks et al., 2007).
A<?pagebreak page3274?> numerical fitting procedure (PROFFIT code) (Schneider and Hase, 2009)
then retrieves column abundances of the concentrations of the
observed gases from the spectrum. The single-channel EM27/SUN is able to
measure total columns of <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. The ratio
over the observed <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column, assumed to be known and constant, delivers
the column-averaged trace gas concentrations of <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in
<inline-formula><mml:math id="M60" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol mol<inline-formula><mml:math id="M61" 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> dry air, with a temporal resolution of 1 min.
<inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the dry air mole fraction of <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, defined as <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M65" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> column[<inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M67" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>column[dry air]. Applying the ratio over the observed
oxygen (<inline-formula><mml:math id="M68" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) column reduces the effect of various possible systematic
errors; see Wunch et al. (2011).</p>
      <p id="d1e1129">In order to correctly quantify small differences in <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns
between Paris upstream and downstream locations, measurements were
performed with the five FTIR instruments side by side before and after the
campaign, as we expect small calibration differences between the different
instruments due to slightly different alignment for each individual
spectrometer. These differences are constant over time and can be easily
accounted for by applying a calibration factor for each instrument. Previous
studies showed that the instrument-specific corrections are well below 0.1 %
for <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Frey et al., 2015; Chen et al., 2016) and are stable for
individual devices. The <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> precision for <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is on the order of
0.01 %–0.02 % (<inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula> ppm) (e.g. Gisi et al., 2012; Chen et al., 2016; Hedelius et al.,
2016; Klappenbach et al., 2015). The calibration
measurements for this campaign were performed in Karlsruhe using the Total
Carbon Column Observing Network (TCCON) (Wunch et al., 2011) spectrometer at
the Karlsruhe Institute of Technology (KIT), Germany, for 7 days before the
Paris campaign between 9 and 23 April and after the campaign
on  18  until 21 May.</p>
      <p id="d1e1186">Figure S1 (left panel) shows the <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> time series of the calibration
campaign, in which small offsets between the instruments' raw data are visible.
As these offsets are constant over time, a calibration factor for each
instrument can be easily applied; actually these are the calibration factors
previously found for the Berlin campaign (Frey et al., 2015). These factors
are given in Table 1, for which all EM27/SUN instruments are scaled to match
instrument no. 1. The calibrated <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values for 15 April   are
shown in Fig. S1. None of the five instruments that participated in the
Berlin campaign show any significant drift; in other words, the calibration
factors found 1 year before were still applicable. This is a good
demonstration of the instrument stability stated in Sect. 2.2, especially
as several instruments (nos. 1, 3, 5) were used in another campaign in
northern Germany in the meantime. The EM27/SUN <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements can
also be made traceable to the WMO international scale for in situ
measurements by comparison with measurements of a collocated TCCON
spectrometer, which are calibrated against in situ standards by aircraft and
air-core measurements (Wunch et al., 2010; Messerschmidt et al., 2011)
performed using the WMO scale.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><label>Table 1</label><caption><p id="d1e1225">Normalization factors for the five EM27/SUN instruments derived
during measurements before and after the Paris field campaign. Values in
parentheses are standard deviations. Measurements of instrument 1 were
arbitrarily chosen as the reference from which the others were scaled. The
calibration factors from a previous field campaign in Berlin (Hase et al.,
2015) are also shown. Calibration factors between the two field campaigns
agree well within 0.02 % (<inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula> ppm) for all instruments.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Instrument</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M78" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> factor Berlin</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M79" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> factor before Paris</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> factor after Paris</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1</oasis:entry>
         <oasis:entry colname="col2">1.0000 (0.0003)</oasis:entry>
         <oasis:entry colname="col3">1.0000 (0.0003)</oasis:entry>
         <oasis:entry colname="col4">1.0000 (0.0003)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2</oasis:entry>
         <oasis:entry colname="col2">0.9992 (0.0003)</oasis:entry>
         <oasis:entry colname="col3">0.9991 (0.0003)</oasis:entry>
         <oasis:entry colname="col4">0.9992 (0.0003)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3</oasis:entry>
         <oasis:entry colname="col2">1.0002 (0.0003)</oasis:entry>
         <oasis:entry colname="col3">1.0001 (0.0004)</oasis:entry>
         <oasis:entry colname="col4">1.0000 (0.0005)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4</oasis:entry>
         <oasis:entry colname="col2">0.9999 (0.0003)</oasis:entry>
         <oasis:entry colname="col3">1.0000 (0.0004)</oasis:entry>
         <oasis:entry colname="col4">1.0000 (0.0004)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5</oasis:entry>
         <oasis:entry colname="col2">0.9996 (0.0003)</oasis:entry>
         <oasis:entry colname="col3">0.9995 (0.0003)</oasis:entry>
         <oasis:entry colname="col4">0.9995 (0.0003)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e1379">During the campaign and for the calibration measurements we recorded
double-sided interferograms with 0.5 cm<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> spectral resolution. Each
measurement of 58 s duration consisted of 10 scans using a scanner velocity
of 10 kHz. For precise timekeeping, we used GPS sensors for each
spectrometer.</p>
      <p id="d1e1394">In situ surface pressure data used for the analysis of the calibration
measurements performed at KIT were recorded at the co-located
meteorological tall tower. During the campaign, a MHD-382SD data logger
recorded local pressure, temperature and relative humidity at each station.
The analysis of the trace gases from the measured spectra for the
calibration measurements has been performed as described by Frey et al. (2015).
For the campaign measurements we assume a common vertical
pressure–temperature profile for all sites, provided by the model, so that
the surface pressure at each spectrometer only differs due to different site
altitudes. The 3-hourly temperature profile from the European Centre for
Medium-Range Weather Forecasts (ECMWF) operational analyses interpolated for
site JUS located in the centre of the array was used for the spectra
analysis at all sites. The individual ground pressure was derived from site
altitudes and pressure measurements performed at each site.</p>
      <p id="d1e1397">Before and after the Paris campaign, side-by-side comparison measurements
were performed with all five EM27/SUN spectrometers and the TCCON spectrometer
operated in Karlsruhe at KIT. All spectrometers were placed on the top of
the IMK office building north of Karlsruhe. The altitude is 133 m above sea
level (a.s.l.); coordinates are 49.09<inline-formula><mml:math id="M82" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 8.43<inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E.
The processing of the Paris raw observations (measured interferograms) was
performed as described by Gisi et al. (2012) and Frey et al. (2015) for the
Berlin campaign: spectra were generated applying a DC correction, a
Norton–Beer medium apodization function and a spectral resampling of the
sampling grid resulting from the FFT on a minimally sampled spectral grid.
PROFFWD was used as the radiative transfer model and PROFFIT as the
retrieval code.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Atmospheric transport modelling framework</title>
      <p id="d1e1424">We used the chemistry transport model CHIMERE (Menut et al., 2013) to
simulate <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in the Paris area. More specifically, we
used the CHIMERE configuration over which the inversion system of Bréon
et al. (2015) and Staufer et al. (2016) was built to derive monthly to
6 h mean estimates of the <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> Paris emissions. Its horizontal grid,
and thus its domain and its spatial resolution, is illustrated in Fig. S2.
It has a <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> spatial resolution for the Paris
region, and <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula>  and <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M90" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> spatial
resolutions for the surroundings. It has 20 vertical hybrid pressure-sigma
(terrain-following) layers that range from the surface to the
mid-troposphere, up to 500 hPa. It is driven by operational meteorological
analyses of the ECMWF Integrated Forecasting System, available at an
approximately <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mn mathvariant="normal">15</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> spatial resolution and 3 h temporal
resolution.</p>
      <?pagebreak page3275?><p id="d1e1525">In this study the <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> simulations are based on a forward run over 25 April–12 May 2015
with this model configuration; we do not
assimilate atmospheric <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> data and so no inversion for surface
fluxes was conducted. In the Paris area (the Île-de-France administrative
region), hourly anthropogenic emissions are given by the IER inventory; see
Sect. 2.1. The anthropogenic emissions in the rest of the domain are
prescribed from the EDGAR V4.2 database for the year 2010 at 0.1<inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
resolution (Olivier and Janssens-Maenhout et al., 2012). In the whole
simulation domain, the natural fluxes (the net ecosystem exchange, NEE) are
prescribed using simulations of CTESSEL, which is the land-surface component
of the ECMWF forecasting system (Boussetta et al., 2013), at a 3 hourly and
<inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mn mathvariant="normal">15</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M97" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> resolution. Finally, the <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> boundary
conditions at the lateral and top boundaries of the simulation domain and the
simulation <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> initial conditions on 25 April 2015 are prescribed
using the <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> forecast issued by the Copernicus Atmosphere Monitoring
Service (CAMS, <uri>http://atmosphere.copernicus.eu/</uri>, last access: last
access: 1 March 2019) at a <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> km global resolution
(Agustí-Panareda et al., 2014).</p>
      <p id="d1e1627">The CHIMERE transport model is used to simulate the <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> data. However,
since the model does not cover the atmosphere up to its top, the <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
fields from CHIMERE are complemented with those of the CAMS <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
forecasts from 500 hPa to the top of the atmosphere to derive total column
concentrations. The derivation of modelled <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at the sites involves
obtaining a kernel-smoothed <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profile of CHIMERE and CAMS and
vertical integration of these smoothed profiles, weighted by the pressure at
the horizontal location of the sites.</p>
      <p id="d1e1685">The parametrization used to smooth modelled <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profiles approximates
the sensitivity of the EM27/SUN <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrieval as a function of
pressure and sun elevation. Between 1000 and 480 hPa, a linear dependency of the
instrument averaging kernels on solar zenith angle (<inline-formula><mml:math id="M109" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>) is assumed with
boundary values following Frey et al. (2015):

                <disp-formula id="Ch1.E1" specific-use="align" content-type="subnumberedsingle"><mml:math id="M110" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1.1"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>k</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">480</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.125</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E1.2"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>k</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">1000</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.45</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi>s</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mi>s</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="normal">Θ</mml:mi><mml:mo>/</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M112" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
Approximate averaging kernels are obtained
by linear interpolation to the
pressure levels of CHIMERE and CAMS. If <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> hPa, <inline-formula><mml:math id="M114" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> is
linearly extrapolated. Above 480 hPa (<inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">480</mml:mn></mml:mrow></mml:math></inline-formula> hPa), the
averaging kernels can be approximated by
            <disp-formula id="Ch1.E2" content-type="numbered"><mml:math id="M116" display="block"><mml:mrow><mml:mi>k</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>u</mml:mi><mml:mo>,</mml:mo><mml:mi>s</mml:mi></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.125</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi>u</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>u</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi>s</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M117" display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula> is (480 hPa<inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mo>/</mml:mo><mml:mn mathvariant="normal">480</mml:mn></mml:mrow></mml:math></inline-formula>. The kernel-smoothed <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profile,
<inline-formula><mml:math id="M121" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">model</mml:mi></mml:mrow><mml:mi mathvariant="normal">s</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, is obtained by

                <disp-formula id="Ch1.E3" content-type="numbered"><mml:math id="M122" display="block"><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">model</mml:mi></mml:mrow><mml:mi mathvariant="normal">s</mml:mi></mml:msubsup></mml:mrow><mml:mo>=</mml:mo><mml:mi mathvariant="bold">K</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">model</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mi mathvariant="bold">I</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="bold">K</mml:mi></mml:mrow></mml:mfenced><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">a</mml:mi></mml:msubsup></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">model</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the modelled <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profile by CHIMERE or
CAMS, <inline-formula><mml:math id="M125" display="inline"><mml:mi mathvariant="bold">I</mml:mi></mml:math></inline-formula> the identity matrix and <inline-formula><mml:math id="M126" display="inline"><mml:mi mathvariant="bold">K</mml:mi></mml:math></inline-formula> is a diagonal matrix
containing the averaging kernels <inline-formula><mml:math id="M127" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>. The a priori <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profile,
<inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">a</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, is provided by the Whole Atmosphere Community Climate
Model (WACCM) model (version 6) and interpolated to the pressure levels of
CHIMERE and CAMS. <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">model</mml:mi></mml:mrow><mml:mi mathvariant="normal">s</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> is the appropriate <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
profile to calculate modelled <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at the location of the sites.</p>
      <p id="d1e2111">For a given site, the simulated <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> data are thus computed from the
vertical profile of this site as

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M134" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">CHIMERE</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:msubsup><mml:mo>∫</mml:mo><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mrow><mml:mi mathvariant="normal">top</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">CHIM</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msubsup><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">CHIM</mml:mi></mml:mrow><mml:mi mathvariant="normal">s</mml:mi></mml:msubsup></mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>+</mml:mo><mml:msubsup><mml:mo>∫</mml:mo><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mrow><mml:mi mathvariant="normal">top</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">CHIM</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:msubsup><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">CAMS</mml:mi></mml:mrow><mml:mi mathvariant="normal">s</mml:mi></mml:msubsup></mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>p</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the surface pressure, <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mrow><mml:mi mathvariant="normal">top</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">CHIM</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> hPa the pressure corresponding to the top boundary of the CHIMERE
model, and <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">CHIM</mml:mi></mml:mrow><mml:mi mathvariant="normal">s</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">CAMS</mml:mi></mml:mrow><mml:mi mathvariant="normal">s</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> are the
smoothed <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations of CHIMERE and CAMS, respectively. For
comparison we also calculated <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at a lower spatial resolution with
the CAMS data alone as
            <disp-formula id="Ch1.E5" content-type="numbered"><mml:math id="M141" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">CAMS</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:msubsup><mml:mo>∫</mml:mo><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:msubsup><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">CAMS</mml:mi></mml:mrow><mml:mi mathvariant="normal">s</mml:mi></mml:msubsup></mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>p</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
</sec>
</sec>
<?pagebreak page3276?><sec id="Ch1.S3">
  <title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <title>Observations</title>
<sec id="Ch1.S3.SS1.SSS1">
  <title>Meteorological conditions and data coverage/instrument
performance</title>
      <p id="d1e2414">During the measurement campaign (28 April until 13 May 2015),
meteorological conditions were a major limitation for the availability of
<inline-formula><mml:math id="M142" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observations. Useful EM27/SUN measurements require direct
sunlight,
and low wind speeds typically yield higher local <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Most of the time
during the campaign, conditions were partly cloudy and turbid, and so
successful measurements at a high solar zenith angle (SZA) were rare.
Therefore, the data coverage between  28 April  and  3 May is
limited (see Table 2). As is typical for spring periods in Paris, the
temperature and the wind direction vary and display less synoptic variations
than in winter. The dominant wind directions were mostly northeasterly at
the beginning of the campaign and mostly southeasterly during the second
half of the campaign. We find that the wind speeds during daytime nearly
always surpass 3 m s<inline-formula><mml:math id="M144" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, which has been identified by Bréon et al. (2015)
and Staufer et al. (2016) as the cut-off wind speed above which the
atmospheric transport model CHIMERE performs best in modelling <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentration gradients in the mixed layer.</p>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T2" specific-use="star"><label>Table 2</label><caption><p id="d1e2465">Summary of all measurement days with the number of observations at
each of the sites, Mitry-Mory (MIT), Gif-sur-Yvette (GIF), Piscop (PIS),
Saulx-les-Chartreux (RES) and Jussieu (JUS), the overall quality ranking of
each day according to the number of available observations and temporal
coverage (with classification from poor to great: <inline-formula><mml:math id="M146" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>, <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo><mml:mo>+</mml:mo><mml:mo>+</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and the ground-level wind speed and direction.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="center"/>
     <oasis:colspec colnum="8" colname="col8" align="center"/>
     <oasis:colspec colnum="9" colname="col9" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Date</oasis:entry>
         <oasis:entry rowsep="1" namest="col2" nameend="col6" align="center">No. of observations </oasis:entry>
         <oasis:entry colname="col7">Quality</oasis:entry>
         <oasis:entry colname="col8">Wind speed (m s<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>)</oasis:entry>
         <oasis:entry colname="col9">Wind direction</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">MIT</oasis:entry>
         <oasis:entry colname="col3">GIF</oasis:entry>
         <oasis:entry colname="col4">PIS</oasis:entry>
         <oasis:entry colname="col5">RES</oasis:entry>
         <oasis:entry colname="col6">JUS</oasis:entry>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">28 Apr 2015 (Tu)</oasis:entry>
         <oasis:entry colname="col2">179</oasis:entry>
         <oasis:entry colname="col3">102</oasis:entry>
         <oasis:entry colname="col4">178</oasis:entry>
         <oasis:entry colname="col5">199</oasis:entry>
         <oasis:entry colname="col6">234</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">4</oasis:entry>
         <oasis:entry colname="col9">W</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">29 Apr 2015 (We)</oasis:entry>
         <oasis:entry colname="col2">110</oasis:entry>
         <oasis:entry colname="col3">124</oasis:entry>
         <oasis:entry colname="col4">0</oasis:entry>
         <oasis:entry colname="col5">161</oasis:entry>
         <oasis:entry colname="col6">53</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M152" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">5</oasis:entry>
         <oasis:entry colname="col9">W-SW</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4 May 2015 (Mo)</oasis:entry>
         <oasis:entry colname="col2">194</oasis:entry>
         <oasis:entry colname="col3">85</oasis:entry>
         <oasis:entry colname="col4">96</oasis:entry>
         <oasis:entry colname="col5">163</oasis:entry>
         <oasis:entry colname="col6">83</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M153" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">6</oasis:entry>
         <oasis:entry colname="col9">S-SE</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5 May 2015 (Tu)</oasis:entry>
         <oasis:entry colname="col2">77</oasis:entry>
         <oasis:entry colname="col3">27</oasis:entry>
         <oasis:entry colname="col4">85</oasis:entry>
         <oasis:entry colname="col5">185</oasis:entry>
         <oasis:entry colname="col6">92</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M154" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">8</oasis:entry>
         <oasis:entry colname="col9">S-SW</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">6 May 2015 (We)</oasis:entry>
         <oasis:entry colname="col2">81</oasis:entry>
         <oasis:entry colname="col3">88</oasis:entry>
         <oasis:entry colname="col4">87</oasis:entry>
         <oasis:entry colname="col5">139</oasis:entry>
         <oasis:entry colname="col6">0</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M155" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">8</oasis:entry>
         <oasis:entry colname="col9">SW</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">7 May 2015 (Th)</oasis:entry>
         <oasis:entry colname="col2">169</oasis:entry>
         <oasis:entry colname="col3">313</oasis:entry>
         <oasis:entry colname="col4">252</oasis:entry>
         <oasis:entry colname="col5">286</oasis:entry>
         <oasis:entry colname="col6">238</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">3</oasis:entry>
         <oasis:entry colname="col9">SW</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">9 May 2015 (Sa)</oasis:entry>
         <oasis:entry colname="col2">179</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">181</oasis:entry>
         <oasis:entry colname="col5">289</oasis:entry>
         <oasis:entry colname="col6">149</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">6</oasis:entry>
         <oasis:entry colname="col9">W</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">10 May 2015 (Su)</oasis:entry>
         <oasis:entry colname="col2">325</oasis:entry>
         <oasis:entry colname="col3">478</oasis:entry>
         <oasis:entry colname="col4">362</oasis:entry>
         <oasis:entry colname="col5">542</oasis:entry>
         <oasis:entry colname="col6">282</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">3</oasis:entry>
         <oasis:entry colname="col9">S</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">11 May 2015 (Mo)</oasis:entry>
         <oasis:entry colname="col2">410</oasis:entry>
         <oasis:entry colname="col3">431</oasis:entry>
         <oasis:entry colname="col4">251</oasis:entry>
         <oasis:entry colname="col5">298</oasis:entry>
         <oasis:entry colname="col6">413</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">3</oasis:entry>
         <oasis:entry colname="col9">S-SW</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">12 May 2015 (Tu)</oasis:entry>
         <oasis:entry colname="col2">324</oasis:entry>
         <oasis:entry colname="col3">222</oasis:entry>
         <oasis:entry colname="col4">230</oasis:entry>
         <oasis:entry colname="col5">326</oasis:entry>
         <oasis:entry colname="col6">203</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">4</oasis:entry>
         <oasis:entry colname="col9">N-NW</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">13 May 2015 (We)</oasis:entry>
         <oasis:entry colname="col2">159</oasis:entry>
         <oasis:entry colname="col3">18</oasis:entry>
         <oasis:entry colname="col4">182</oasis:entry>
         <oasis:entry colname="col5">28</oasis:entry>
         <oasis:entry colname="col6">56</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M161" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">4</oasis:entry>
         <oasis:entry colname="col9">NE</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e3028">Despite some periods with unfavourable conditions, more than 10 000 spectra
were retrieved among the five deployed instruments. The quality of the
spectra for each day was rated according to the overall data availability
and to be consistent with Hase et al. (2015). The best measurement conditions
prevailed for the period between  7  and 12 May.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <?xmltex \opttitle{Observations of {$\protect\chem{XCO_{2}}$} in Paris}?><title>Observations of <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in Paris</title>
      <p id="d1e3049">The observed <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the Paris region for all sites (10 415 observations)
ranges from 397.27 to 404.66 ppm with a mean of 401.26 ppm (a
median of 401.15 ppm). The strong atmospheric variability of <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
across Paris and within the campaign period is reflected in the standard
deviation of 1.04 ppm for 1 min averages. We find that all sites exhibit
very similar diurnal behaviours with a clear decrease in <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> during
the
daytime and a noticeable day-to-day variability as seen in Fig. 2. This is
to be expected as they are all subject to very similar atmospheric transport
in the boundary layer height and to similar large-scale influences, i.e.
surrounded by stronger natural fluxes or air mass exchange with other
regions at synoptic timescales. However, observed <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations
at the downwind sites for our network remain clearly higher from sites that
are upwind of Paris (see Fig. 2). The shifting dominant wind conditions
also explain why the sites RES and GIF are lowest in the beginning of the
campaign and higher on  12  and 13 May after meteorological
conditions changed. This indicates that the influence of urban emissions is
detectable with this network configuration under favourable meteorological
conditions. By comparing the different daily variations in Fig. 3, it is
apparent that the day-to-day variations observed at the two southwesterly
(typically upwind) sites GIF and RES are approximately 1 ppm, with both
sites exhibiting similar diurnal variations throughout the campaign period.
This can be expected as their close vicinity would suggest that they are
sensitive to emissions from similar areas and to concentrations of air
masses arriving from the southwest.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><label>Figure 2</label><caption><p id="d1e3098">Time series of
observed <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the Parisian region for all five sites (all valid
data of 1 min averages).</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/3271/2019/acp-19-3271-2019-f02.png"/>

          </fig>

      <p id="d1e3118">The typical decrease in <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> found over the course of a day is about 2
to 3 ppm. This decrease could be driven by (natural) sinks of <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
which can be expected to be very strong as our campaign took place after the
start of the growing season in Europe for most of southern and central
Europe (Rötzer and Chmielewski, 2001).</p>
      <p id="d1e3144">The observations at the site located in Paris (JUS) display similarly low
day-to-day variations and a clear decrease in <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> over the course of
the day. The latter feature indicates that even in the dense city centre,
<inline-formula><mml:math id="M171" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is primarily representative of a large footprint like in other
areas of the globe (Keppel-Aleks, 2011) and supports the findings of Belikov
et al. (2017) concerning the footprints for the Paris and Orleans TCCON
sites. Thus, our total column observations are less critically affected by
local emissions than in situ measurements (Bréon et al., 2015; Ammoura et al.,
2016). It is also apparent that the decrease in <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (the slope) during
the afternoon for  28 and 29 April    as well as 7   and
10 May  is noticeably smaller than on other days during this campaign. As
<inline-formula><mml:math id="M173" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is not sensitive to vertical mixing, this has to be caused by
different <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sources and sinks acting upon the total column arriving
at JUS.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F3" specific-use="star"><label>Figure 3</label><caption><p id="d1e3204">Time series of
observed <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the Parisian region sorted by station.</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/3271/2019/acp-19-3271-2019-f03.png"/>

          </fig>

      <?pagebreak page3278?><p id="d1e3224">The two (typically downwind) sites PIS and MIT northeast of Paris show a
markedly larger day-to-day spread in their general <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> levels as
well as strongly changing slopes for the diurnal <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> decrease. For
these sites the exact wind direction is critical as they can be downwind of
the city centre that has a much higher emission density or less dense suburbs
(see Fig. 1).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><label>Figure 4</label><caption><p id="d1e3251">Observed spatial gradients of <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for  7 May
(southwesterly winds) and  10 May  (southerly winds).</p></caption>
            <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/3271/2019/acp-19-3271-2019-f04.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS1.SSS3">
  <?xmltex \opttitle{Gradients in observed {$\protect\chem{XCO_{2}}$}}?><title>Gradients in observed <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></title>
      <p id="d1e3288">In order to focus more on the impact of local emissions on atmospheric
conditions and less on that of <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes from outside of our urban
domain in our analysis of <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, we choose to study the spatial
gradients (<inline-formula><mml:math id="M182" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>) among different sites. Fundamentally, this approach
assumes that regional- and large-scale fluxes have a similar impact on
<inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for the sites within our network due to the close proximity of
sites and the smoothing of remote emission signals due to atmospheric
transport by the time the air mass arrives in our domain. Ideal conditions
were sampled on  7 May, with predominantly southwesterly winds,
and on  10 May  with southerly winds. We can see in Fig. 4 that all
sites were, on average, elevated compared to RES, chosen as reference here
as it was upwind of Paris during those days. The hodographs for both days
also indicate that the wind fields were consistent across Paris (see Fig. S3).
The observations from GIF showed only minimal differences with RES,
while the rest of the sites (PIS, JUS and MIT) had <inline-formula><mml:math id="M184" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> values of 1 to
1.5 ppm. During southwesterly winds, MIT is downwind of the densest part of
the Paris urban area, and JUS is impacted by emissions of neighbourhoods to
the southwest. The site of PIS is still noticeably influenced by the city
centre but, as can be seen in Fig. 1, we likely do not catch the plume of
the most intense emissions but rather from the suburbs. On  10 May,
with its dominant southerly winds, the situation was markedly different.
While GIF was still only slightly elevated, the <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> enhancement at MIT
was significantly lower and quite similar to JUS for large parts of the day.
The highest    <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> can be observed at PIS, again typically
ranging from 1 to 1.5 ppm. As seen in Fig. 1, PIS is then directly downwind
of the densest emission area, while MIT is only exposed to <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
emissions from the eastern outskirts of Paris.</p>
      <p id="d1e3374">It is also important to note that the impact of the local biosphere that is
assumed to cause the strong decrease in <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> during the day is not seen
on both days for these spatial gradients. For a more comprehensive
interpretation of these observations the use of a transport model (as
described in Sect. 2.3) is necessary.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Modelling</title>
<sec id="Ch1.S3.SS2.SSS1">
  <title>Model performance</title>
      <p id="d1e3400">Before interpreting the modelled <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> we need to evaluate the
performance of the chosen atmospheric transport model framework as described
in Sect. 2.3. Comparing it to meteorological observations (wind speed and
wind direction) at GIF, we find that CHIMERE predicts these variables well
throughout the duration of the campaign (see Fig. S4). Changes in wind
speed direction and speed are reproduced with a slight overestimation at low
wind speeds (<inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> m s<inline-formula><mml:math id="M191" 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 addition to the meteorological forcing, the
model performance can also be expected to depend on the chosen model
resolution. Therefore, we compared <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at JUS calculated based on the
coarser-resolution atmospheric transport and flux framework CAMS (15 km)
and the higher-resolution emission modelling input for the framework based
on CHIMERE (2 km) for the inner domain and based on CAMS boundary conditions (see
Fig. S2). We find that the coarser model displays similar inter-daily
variations, but that the high-resolution model modifies the modelling
results on shorter timescales. We find that the afternoon <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
decreases are often more pronounced in CHIMERE. Only the high resolution
will be considered and referred to in the following. The impact of using
different flux maps (fossil fuel <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) on the modelled <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> can
unfortunately not be explicitly investigated here as only one
high-resolution (1 km) emission product available for fossil fuel <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
was available for this study region (see Sect. 2.3), and other global
emission products are usually not intended for urban-scale studies.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><label>Figure 5</label><caption><p id="d1e3495">Modelled <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for all stations.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/3271/2019/acp-19-3271-2019-f05.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <?xmltex \opttitle{Modelled {$\protect\chem{XCO_{2}}$} and its components}?><title>Modelled <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and its components</title>
      <p id="d1e3533">The modelled <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for the five sites (Fig. 5) co-evolves over the
period of the campaign with occurrences of significant differences. This was
already seen with the measurements, but the model allows us to look at the full
time series. The model reveals clear daily cycles of <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, with an
accumulation during the night-time and a decrease during the daytime. Despite a good
general agreement of modelled <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at all sites for the timing
of daily minima and their synoptic changes, for example, differences in <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are
observed between the sites for many days. Typically the northeasterly sites
(PIS, MIT) show an enhancement in modelled <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> compared to the
southwesterly sites (GIF, RES).</p>
      <p id="d1e3591">To understand the synoptic and diurnal variations of the modelled
<inline-formula><mml:math id="M204" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, we analyzed the contribution of different sources (and sinks)
of <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, namely the NEE, the fossil fuel
<inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions (<inline-formula><mml:math id="M207" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FFCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and the boundary conditions (BCs),
i.e. the variations of <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> not caused by fluxes within our domain
(the example of JUS is given in Fig. 6). The day-to-day variability of
modelled <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is dominated by changing boundary conditions and
coincides with synoptic weather changes. As the <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emitted from the
different sources is transported in the model as independent tracers, the
strong daily decrease in <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> can be directly linked to NEE, which
leads to a decrease of <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> ppm (but up to 4 ppm) during the day, but
can also cause positive enhancements during the night-time driven by biogenic
respiration. The <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from fossil fuel emissions causes significant
enhancements compared to the background but is often compensated by<?pagebreak page3279?> NEE.
During short periods, fossil fuel emissions can however lead to enhancements
of up to 4 ppm.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><label>Figure 6</label><caption><p id="d1e3706">Time series of <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and related fluxes for JUS.
Panel <bold>(a)</bold> provides a comparison of modelled total <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M216" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> variations due to changes in boundary conditions (BC only).
Panel <bold>(b)</bold> shows the contribution of the different flux components,
namely fossil fuel <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions and biogenic fluxes.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/3271/2019/acp-19-3271-2019-f06.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <?xmltex \opttitle{Modelled $\Delta${$\protect\chem{XCO_{2}}$} gradients and its components}?><title>Modelled <inline-formula><mml:math id="M218" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula><inline-formula><mml:math id="M219" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> gradients and its components</title>
      <?pagebreak page3280?><p id="d1e3790">To be able to assess the impact of local sources and reduce the influence of
NEE and BC on the modelled signals, we analyze the <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> gradient (i.e.
station-to-station difference) with RES being taken as reference. In Fig. 7a
we compare <inline-formula><mml:math id="M221" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> and its components, i.e. fossil fuel
<inline-formula><mml:math id="M222" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, biogenic <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> transported across the boundary of
the domain (BCs), along a south–north direction. For the
modelled <inline-formula><mml:math id="M225" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> we can see that MIT shows a positive value during the
campaign period whenever the predominant wind direction was southwesterly.
We also find that <inline-formula><mml:math id="M226" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> between JUS and RES was both negative and
positive during the campaign and predominantly negative between MIT and
JUS. When split into <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FFCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, BC and NEE components, we can clearly see that
the total <inline-formula><mml:math id="M228" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> is dominated by FF causing <inline-formula><mml:math id="M229" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> offsets of up to 4 ppm, but more typically 1 ppm gradients are observed. Gradients can also
change rapidly (within a few hours) if the wind direction changes, for
example on   1  and  12 May. This highlights the fact that,
during such conditions, we cannot assume a simple upwind–downwind
interpretation of our sites. As expected, the contributions from BC and NEE
are generally greatly reduced when analyzing    <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The most
important impact of NEE on the <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> gradients of <inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> ppm can
be seen on   8  and  11 May, respectively. This means that,
despite greatly reducing the impact of NEE on average, the contribution of
NEE cannot be fully ignored. BC is an overall negligible contribution to
<inline-formula><mml:math id="M234" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, even though it reaches <inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula> ppm on  11 May.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><label>Figure 7</label><caption><p id="d1e3958">Modelled <inline-formula><mml:math id="M236" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> gradients for each station relative to RES are
given in <bold>(a)</bold> with its contributing components in the panels below.
Total <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(a)</bold>, the fossil fuel contribution to
<inline-formula><mml:math id="M238" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(b)</bold>, the biogenic contribution to
<inline-formula><mml:math id="M239" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">bio</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(c)</bold> and the influence of the boundary
conditions <inline-formula><mml:math id="M240" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">BC</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(d)</bold>. The dominant wind
conditions for each day given at the top of the figure and days without
observations due to precipitation are in red.</p></caption>
            <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/3271/2019/acp-19-3271-2019-f07.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <title>Model data and observation comparison</title>
<sec id="Ch1.S3.SS3.SSS1">
  <?xmltex \opttitle{{$\protect\chem{XCO_{2}}$}}?><title>
            <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
          </title>
      <p id="d1e4085">A comparison of modelled and observed <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is of course limited to the
relatively short periods when observations are available. Over these periods
we can see a general issue in reproducing the general <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for each day
in the model as observed <inline-formula><mml:math id="M244" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is significantly lower, revealing a
fairly stable bias between 1 and 2 ppm. As our <inline-formula><mml:math id="M245" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> boundary conditions
were from a forecast product, this is not unexpected, as already small
issues in estimating carbon uptake (or emissions) at the European scale can
have such an impact on the boundary conditions. However, we observe that the
main features, like daily cycles and synoptic changes of the modelled and
observed <inline-formula><mml:math id="M246" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, are comparable as seen in Fig. 8. The daytime
variations are well reproduced by the model and the general relative
concentrations among sites are preserved, e.g. the highest values for
<inline-formula><mml:math id="M247" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at MIT are on  9 May  and the highest <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values for PIS are later
on   10  and  11 May. We also see that the timing of the daily
minima is not fully covered in the observed data as it typically happens
after sunset and cessation of biosphere uptake. To reduce the impact of
uncertainties of the boundary conditions on our analysis, a gradient approach
was tested.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><label>Figure 8</label><caption><p id="d1e4168">Comparison of modelled (solid lines) and observed hourly averaged
<inline-formula><mml:math id="M249" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (symbols) with standard deviations as error bars.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/3271/2019/acp-19-3271-2019-f08.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <?xmltex \opttitle{{$\protect\chem{\Delta XCO_{2}}$}}?><title>
            <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
          </title>
      <p id="d1e4208">Due to the prevailing southeasterly wind conditions, we can compare
<inline-formula><mml:math id="M251" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at the typical downwind sites (PIS, MIT) relative to the mostly
upwind sites (RES, GIF) and expect elevated <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> downwind.
Furthermore, we can expect to see negative gradients for opposing wind
conditions, i.e. northwesterly. For other wind conditions, the concentration
difference is not determined by emissions between the station pairs but
rather by the areas upwind of the sites (see Fig. 1). We find that the model
versus observed <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of PIS relative to RES generally falls
along the <inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> line with a slope of <inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.07</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mrow></mml:math></inline-formula> with a Pearson's <inline-formula><mml:math id="M256" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> of
0.8. Negative <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values, seen in Fig. 9, are associated with
meteorological conditions when winds come from northerly directions; i.e. the
roles of normal upwind and downwind sites are reversed. For wind
perpendicular to the direct line of sight for (PIS, RES) the concentration
enhancements are small and harder to interpret. The gradient of <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
MIT relative to RES has a significantly lower range for modelled <inline-formula><mml:math id="M259" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
while the observed range of <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is similar to PIS. The slope of
observed to modelled <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for upwind–downwind (or
downwind–upwind conditions) is <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.72</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula> with a Pearson's <inline-formula><mml:math id="M263" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> of 0.96.
This points to a significant underestimation of the impact of urban sources
on the MIT–RES gradient, which is especially visible in the more negative
<inline-formula><mml:math id="M264" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> during northerly wind conditions. This could indicate
that the spatial distribution of our emissions prior should be improved; i.e.
emissions in the eastern outskirts/suburbs are likely underestimated in the
IER emissions model. The low modelled <inline-formula><mml:math id="M265" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> could also be due
to overestimated horizontal dispersion in the model, which seems less likely.
Again the model does not predict concentration differences well for
perpendicular wind conditions. When comparing the mean modelled daily cycle
of the days with southwesterly wind conditions and when observations exist
with the mean diurnal cycle for all days within the field campaign period
when MIT and PIS can be considered downwind of RES, we find that the days
with observations do not significantly differ from those without observations
(see Fig. 10). An investigation of typical diurnal variations of modelled
<inline-formula><mml:math id="M266" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> can only be performed to a limited degree with the
observational data available for suitable wind conditions. Within the large
uncertainties, the modelled and observed <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> agree throughout
the day. When analyzing the modelled <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> components we also
find that the observed daytime increases in <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are driven by
<inline-formula><mml:math id="M270" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> added by urban <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FFCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burning and that the impact of FF is
significantly higher at the PIS (up to 1 ppm) than at the MIT site
(0.5 ppm) in the model, when both sites are downwind of Parisian emissions.
Our observations indicate that both sites have strong diurnal variations.
Given that the most important biogenic sinks, in our domain, can be expected
to be found in the rural parts surrounding Paris, we would expect the
biogenic contribution to be similar at both sites (as predicted by the
model). This would further point towards the impact of FF emissions on the
MIT site being larger than predicted by our modelling framework.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><label>Figure 9</label><caption><p id="d1e4460">Comparison of modelled and observed hourly averaged <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
for gradients between PIS and RES <bold>(a)</bold> and MIT and RES <bold>(b)</bold>,
with standard deviations of the minute values of the hourly mean as vertical
bars and the points colour coded by wind direction from 0 to 359<inline-formula><mml:math id="M273" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/3271/2019/acp-19-3271-2019-f09.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><label>Figure 10</label><caption><p id="d1e4499">Comparison of modelled (black) and observed mean daily cycles (blue)
of hourly averaged <inline-formula><mml:math id="M274" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of PIS <bold>(a)</bold> and of MIT
<bold>(b)</bold> during the campaign when RES can be considered an upwind site.
Labels at the top of <bold>(a)</bold> and <bold>(b)</bold> denote the number of days
contributing to the mean. The mean daily cycle for all days within the
campaign period when PIS and MIT are downwind of RES is given in light grey.
The modelled contribution of different <inline-formula><mml:math id="M275" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sources–sinks to the mean
daily cycle for days with observations for the two sites is given in
<bold>(c)</bold> and <bold>(d)</bold>.</p></caption>
            <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/3271/2019/acp-19-3271-2019-f10.png"/>

          </fig>

      <p id="d1e4552">Different <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> diurnal variations can be found for other
upwind–downwind site pairs, but they are all systematically driven by the
locally added <inline-formula><mml:math id="M277" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from <inline-formula><mml:math id="M278" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FFCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Conclusion and outlook</title>
      <?pagebreak page3282?><p id="d1e4598">For the 2-week field campaign we demonstrated the ability of a network of
five EM27/SUN spectrometers, placed on the outskirts of Paris, to track the
<inline-formula><mml:math id="M279" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> changes due to the urban plume of the city. However, we also found
that <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cannot be simply interpreted in the context of local
emissions as, even in such a densely populated area, <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is still
significantly influenced by natural <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uptake during the growing
season. Understanding the area influencing <inline-formula><mml:math id="M283" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and/or the use of
suitable atmospheric transport models seems indispensable to correctly
interpret atmospheric <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> variations. Using a gradient approach, i.e.
analyzing the difference between <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measured at upwind and downwind
stations, greatly reduced the impact of the <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> boundary condition, which
reflects fluxes outside the domain and biogenic fluxes within the domain.
Overall, the <inline-formula><mml:math id="M287" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> variability modelled using our ECMWF CHIMERE system
with IER (<inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M289" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) emissions data was found to be comparable with the
observed variability and diurnal evolution of <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, despite a higher
background for modelled <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Our modelling framework, run at a <inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M293" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> resolution over Paris also predicts that biogenic fluxes and
boundary conditions (i.e. the influence of <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> being transported into
our domain) have only a very small impact on <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> during a few situations, specifically when
meteorological condition changes made the concept of “upwind” and
“downwind” not applicable. When comparing modelled and measured
<inline-formula><mml:math id="M296" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, we find strong correlations (Pearson's <inline-formula><mml:math id="M297" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>) of 0.8 and 0.96 for
PIS–RES and MIT–RES, respectively. The offset between model and observations
also diminished for <inline-formula><mml:math id="M298" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and the slope found between the observed
and modelled PIS–RES gradients is statistically in accordance with a <inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>
relationship (<inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.07</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mrow></mml:math></inline-formula>). However, the slope of the MIT–RES <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
gradient of <inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.72</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula> suggests that the emission model could
potentially be improved, as it seems unlikely that the general atmospheric
transport in the model is the key issue as both site pairs would be subject
to very similar winds. Another potential source of error that needs to be
investigated is if such an underestimation of <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> could be
caused by the limited model resolution.  It also seems rather likely that a
<inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M305" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> model would cause a general spreading of point source emissions
and not systematically underestimate emissions impacts from less densely
populated parts of Île-de-France. The data also confirm previous
results by models that <inline-formula><mml:math id="M306" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> gradients caused by a megacity do not
exceed 2 ppm, which supports the previous requirement for satellite
observations of less than 1 ppm precision on individual soundings and
biases lower than 0.5 ppm (Ciais et al., 2015). The gradients are mainly
caused by the transport of <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FFCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions but, interestingly, during
specific episodes, a noticeable contribution comes from biogenic fluxes,
suggesting that these fluxes cannot always be neglected even when using
gradients.</p>
      <?pagebreak page3283?><p id="d1e4928">Unfortunately, the duration of the campaign was relatively short, so that an
in-depth analysis of mean daily cycles or the impact of ambient conditions
(traffic conditions, temperature, solar insolation, etc.) on the observed
gradient and underlying fluxes could not be investigated here. Hence, future
studies in Paris and elsewhere should aim to perform longer-term
observations during different seasons, which will allow better understanding
of
changes in biogenic and anthropogenic <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes. A
remotely controllable shelter for the EM27/SUN instrument is currently under
development (Heinle and Chen, 2018). This will considerably facilitate the
establishment of permanent spectrometer arrays around cities and other
sources of interest. Nevertheless, our study already indicates that such
observations of urban <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M310" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> contain original
information to understand local sources and sinks and that the modelling
framework used here is a step forward to support their detailed
interpretation in the future. An improved model will also be able to adjust
or better model the background conditions and potentially use this type of
observations to estimate local <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes using a Bayesian inversion
scheme similar to the existing system based on in situ observations for
Paris (Staufer et al., 2016).</p>
      <p id="d1e4977">We expect that the previous successful collaboration in the framework of the
Paris campaign will mark the permanent implementation of COCCON as a common
framework for a French–Canadian–German collaboration on the EM27/SUN
instrument. The acquisition of additional spectrometers is planned by
several partners.</p>
</sec>

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

      <p id="d1e4984">The data are available from the corresponding author upon
request. The CHIMERE modelling system source code and documentation is freely
available from the Laboratoire de Météorologie Dynamique, France,
<uri>http://www.lmd.polytechnique.fr/chimere/</uri> (last access: 4 March 2019).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e4990">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-19-3271-2019-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-19-3271-2019-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e4999">FRV, MF, FH, IXR, MKS, PCh, PJ, YT, CJ, TB, QT and JO supported the field
campaign and contributed data to this study.</p>

      <p id="d1e5002">MF, FH, FRV, JS, GB and PCi planned the fieldwork and modelling activities
for this study.</p>

      <p id="d1e5005">JS, GB, FC, and FRV performed the CHIMERE modelling, provided modelling data
input and/or analyzed the output data.</p>

      <p id="d1e5008">MF, FH and FRV processed and analyzed the EM27/SUN data.</p>

      <p id="d1e5011">FRV, MF, JS, FH and PCi wrote sections of the paper and created figures
and tables.</p>

      <p id="d1e5015">All authors reviewed, edited and approved the paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e5021">The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e5027">All authors would like to thank the three anonymous reviewers for their
comments that helped to significantly improve this paper. ECCC would like to
thank Ray Nasser (CRD) and Yves Rochon (AQRD) for their internal review. The
authors from LSCE acknowledge the support of the SATINV group of Frederic
Chevallier. The authors from KIT acknowledge support from the Helmholtz
Research Infrastructure ACROSS. The authors from LISA acknowledge support
from the OSU-EFLUVE (Observatoire des Sciences de l'Univers-Enveloppes
Fluides de la Ville à l'Exobiologie).<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: Ronald Cohen<?xmltex \hack{\newline}?> Reviewed by: three anonymous referees</p></ack><?xmltex \hack{\newpage}?><?xmltex \hack{\newpage}?><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><mixed-citation>Agustí-Panareda, A., Massart, S., Chevallier, F., Boussetta, S.,
Balsamo, G., Beljaars, A., Ciais, P., Deutscher, N. M., Engelen, R., Jones,
L., Kivi, R., Paris, J.-D., Peuch, V.-H., Sherlock, V., Vermeulen, A. T.,
Wennberg, P. O., and Wunch, D.: Forecasting global atmospheric <inline-formula><mml:math id="M312" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
Atmos. Chem. Phys., 14, 11959–11983,
<ext-link xlink:href="https://doi.org/10.5194/acp-14-11959-2014" ext-link-type="DOI">10.5194/acp-14-11959-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><mixed-citation>AIRPARIF: Inventaire régional des émissions en Île-de-France
Année de référence 2012 – éléments synthétiques,
Edition Mai 2016, Paris, France, available at:
<uri>https://www.airparif.asso.fr/_pdf/publications/inventaire-emissions-idf-2012-150121.pdf</uri>
(last access: 14 December 2017), 2016.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><mixed-citation>Ammoura, L., Xueref-Remy, I., Vogel, F., Gros, V., Baudic, A., Bonsang, B.,
Delmotte, M., Té, Y., and Chevallier, F.: Exploiting stagnant conditions
to derive robust emission ratio estimates for <inline-formula><mml:math id="M313" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, CO and volatile
organic compounds in Paris, Atmos. Chem. Phys., 16, 15653–15664,
<ext-link xlink:href="https://doi.org/10.5194/acp-16-15653-2016" ext-link-type="DOI">10.5194/acp-16-15653-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><mixed-citation>Belikov, D., Maksyutov, S., Ganshin, A., Zhuravlev, R., Deutscher, N. M.,
Wunch, D., Feist, D. G., Morino, I., Parker, R. J., Strong, K., and Yoshida,
Y.: Study of the footprints of short-term variation in <inline-formula><mml:math id="M314" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observed by
TCCON sites using NIES and FLEXPART atmospheric transport models, 2017.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><mixed-citation>Bréon, F. M., Broquet, G., Puygrenier, V., Chevallier, F., Xueref-Remy,
I., Ramonet, M., Dieudonné, E., Lopez, M., Schmidt, M., Perrussel, O., and
Ciais, P.: An attempt at estimating Paris area <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from
atmospheric concentration measurements, Atmos. Chem. Phys., 15, 1707–1724,
<ext-link xlink:href="https://doi.org/10.5194/acp-15-1707-2015" ext-link-type="DOI">10.5194/acp-15-1707-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><mixed-citation>Broquet, G., Bréon, F.-M., Renault, E., Buchwitz, M., Reuter, M., Bovensmann,
H., Chevallier, F., Wu, L., and Ciais, P.: The potential of satellite
spectro-imagery for monitoring <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from large cities,
Atmos. Meas. Tech., 11, 681–708, <ext-link xlink:href="https://doi.org/10.5194/amt-11-681-2018" ext-link-type="DOI">10.5194/amt-11-681-2018</ext-link>,
2018.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><mixed-citation>
Boussetta, S., Balsamo, G., Beljaars, A., Panareda, A. A., Calvet, J. C.,
Jacobs, C., Hurk, B., Viterbo, P., Lafont, S., Dutra, E., and Jarlan, L.:
Natural land carbon dioxide exchanges in the ECMWF Integrated Forecasting
System: Implementation and offline validation, J. Geophys. Res.-Atmos., 118,
5923–5946, 2013.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><mixed-citation>Butz, A., Orphal, J., Checa-Garcia, R., Friedl-Vallon, F., von Clarmann, T.,
Bovensmann, H., Hasekamp, O., Landgraf, J., Knigge, T., Weise, D.,
Sqalli-Houssini, O., and Kemper, D.: Geostationary Emission Explorer for
Europe (G3E): mission concept and initial performance assessment, Atmos.
Meas. Tech., 8, 4719–4734, <ext-link xlink:href="https://doi.org/10.5194/amt-8-4719-2015" ext-link-type="DOI">10.5194/amt-8-4719-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><mixed-citation>Chen, J., Viatte, C., Hedelius, J. K., Jones, T., Franklin, J. E., Parker,
H., Gottlieb, E. W., Wennberg, P. O., Dubey, M. K., and Wofsy, S. C.:
Differential column measurements using compact solar-tracking spectrometers,
Atmos. Chem. Phys., 16, 8479–8498, <ext-link xlink:href="https://doi.org/10.5194/acp-16-8479-2016" ext-link-type="DOI">10.5194/acp-16-8479-2016</ext-link>,
2016.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><mixed-citation>Ciais, P., Crisp, D., Denier van der Gon, H., Engelen, R., Heimann, M.,
Janssens-Maenhout, G., Rayner, P., and Scholze, M.: Towards a European
Operational Observing System to Monitor Fossil <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> Emissions, Final
Report from the Expert Group, European Commission, October 2015, available
at: <uri>http://edgar.jrc.ec.europa.eu/news_docs/CO2_report_22-10-2015.pdf</uri>
(last access: 6 February 2018), 2015.</mixed-citation></ref>
      <?pagebreak page3284?><ref id="bib1.bib11"><label>11</label><mixed-citation>
Dhakal, S.: Urban energy use and carbon emissions from cities in China and
policy implications, Energ. Policy, 37, 4208–4219, 2009.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><mixed-citation>Frey, M., Hase, F., Blumenstock, T., Groß, J., Kiel, M., Mengistu Tsidu, G.,
Schäfer, K., Sha, M. K., and Orphal, J.: Calibration and instrumental
line shape characterization of a set of portable FTIR spectrometers for
detecting greenhouse gas emissions, Atmos. Meas. Tech., 8, 3047–3057,
<ext-link xlink:href="https://doi.org/10.5194/amt-8-3047-2015" ext-link-type="DOI">10.5194/amt-8-3047-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><mixed-citation>Frey, M., Sha, M. K., Hase, F., Kiel, M., Blumenstock, T., Harig, R.,
Surawicz, G., Deutscher, N. M., Shiomi, K., Franklin, J., Bösch, H., Chen,
J., Grutter, M., Ohyama, H., Sun, Y., Butz, A., Mengistu Tsidu, G., Ene, D.,
Wunch, D., Cao, Z., Garcia, O., Ramonet, M., Vogel, F., and Orphal, J.:
Building the COllaborative Carbon Column Observing Network (COCCON): Long
term stability and ensemble performance of the EM27/SUN Fourier transform
spectrometer, Atmos. Meas. Tech. Discuss.,
<ext-link xlink:href="https://doi.org/10.5194/amt-2018-146" ext-link-type="DOI">10.5194/amt-2018-146</ext-link>, in review, 2018.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><mixed-citation>Gisi, M., Hase, F., Dohe, S., Blumenstock, T., Simon, A., and Keens, A.:
<inline-formula><mml:math id="M318" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-measurements with a tabletop FTS using solar absorption
spectroscopy, Atmos. Meas. Tech., 5, 2969–2980,
<ext-link xlink:href="https://doi.org/10.5194/amt-5-2969-2012" ext-link-type="DOI">10.5194/amt-5-2969-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><mixed-citation>Hase, F., Frey, M., Blumenstock, T., Groß, J., Kiel, M., Kohlhepp, R.,
Mengistu Tsidu, G., Schäfer, K., Sha, M. K., and Orphal, J.: Application of
portable FTIR spectrometers for detecting greenhouse gas emissions of the
major city Berlin, Atmos. Meas. Tech., 8, 3059–3068,
<ext-link xlink:href="https://doi.org/10.5194/amt-8-3059-2015" ext-link-type="DOI">10.5194/amt-8-3059-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><mixed-citation>Hase, F., Frey, M., Kiel, M., Blumenstock, T., Harig, R., Keens, A., and
Orphal, J.: Addition of a channel for XCO observations to a portable FTIR
spectrometer for greenhouse gas measurements, Atmos. Meas. Tech., 9,
2303–2313, <ext-link xlink:href="https://doi.org/10.5194/amt-9-2303-2016" ext-link-type="DOI">10.5194/amt-9-2303-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><mixed-citation>Hedelius, J. K., Viatte, C., Wunch, D., Roehl, C. M., Toon, G. C., Chen, J.,
Jones, T., Wofsy, S. C., Franklin, J. E., Parker, H., Dubey, M. K., and
Wennberg, P. O.: Assessment of errors and biases in retrievals of
<inline-formula><mml:math id="M319" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">X</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">X</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">X</mml:mi><mml:mi mathvariant="normal">CO</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">X</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
from a 0.5 cm<inline-formula><mml:math id="M323" 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> resolution solar-viewing spectrometer, Atmos. Meas.
Tech., 9, 3527–3546, <ext-link xlink:href="https://doi.org/10.5194/amt-9-3527-2016" ext-link-type="DOI">10.5194/amt-9-3527-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><mixed-citation>Heinle, L. and Chen, J.: Automated enclosure and protection system for
compact solar-tracking spectrometers, Atmos. Meas. Tech., 11, 2173–2185,
<ext-link xlink:href="https://doi.org/10.5194/amt-11-2173-2018" ext-link-type="DOI">10.5194/amt-11-2173-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><mixed-citation>
IEA (International Energy Agency): World Energy Outlook, IEA Publications,
Paris, France ISBN 978926404560-6, 2008.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><mixed-citation>INSEE: Institut national de la statistique et des etudes economiquem, available at: <uri>https://www.insee.fr/fr/statistiques</uri>
(last access: 1 March 2019), 2016.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><mixed-citation>
IPCC, 2013: Climate Change 2013: The Physical Science Basis. Contribution of
Working Group I to the Fifth Assessment Report of the Intergovernmental Panel
on Climate Change, edited by: Stocker, T. F., Qin, D., Plattner, G.-K.,
Tignor, M., Allen, S. K., Boschung, J., Nauels, A., Xia, Y., Bex, V., and
Midgley, P. M., Cambridge University Press, Cambridge, United Kingdom and New
York, NY, USA, 1535 pp., 2013.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><mixed-citation>
IPCC, 2014: Climate Change 2014: Mitigation of Climate Change. Contribution
of Working Group III to the Fifth Assessment Report of the Intergovernmental
Panel on Climate Change, edited by: Edenhofer, O., Pichs-Madruga, R., Sokona,
Y., Farahani, E., Kadner, S., Seyboth, K., Adler, A., Baum, I., Brunner, S.,
Eickemeier, P.,  Kriemann, B.,  Savolainen, J.,  Schlömer, S.,  von
Stechow, C.,
Zwickel, T., and Minx, J. C., Cambridge University Press, Cambridge, United
Kingdom and New York, NY, USA, 2014.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><mixed-citation>Janardanan, R., Maksyutov, S., Oda, T., Saito, M., Kaiser, J. W., Ganshin,
A., Stohl, A., Matsunaga, T., Yoshida, Y., and Yokota, T.: Comparing GOSAT
observations of localized <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> enhancements by large emitters with
inventory-based estimates, Geophys. Res. Lett., 43, 3486–3493,
<ext-link xlink:href="https://doi.org/10.1002/2016GL067843" ext-link-type="DOI">10.1002/2016GL067843</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><mixed-citation>Jones, N.: Troubling milestone for <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, Nat. Geosci., 6, 589–589,
2013.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><mixed-citation>
Keppel-Aleks, G., Toon, G. C., Wennberg, P. O., and Deutscher, N. M.:
Reducing the impact of source brightness fluctuations on spectra obtained by
Fourier-transform spectrometry, Appl. Optics, 46, 4774–4779, 2007.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><mixed-citation>Keppel-Aleks, G., Wennberg, P. O., and Schneider, T.: Sources of variations
in total column carbon dioxide, Atmos. Chem. Phys., 11, 3581–3593,
<ext-link xlink:href="https://doi.org/10.5194/acp-11-3581-2011" ext-link-type="DOI">10.5194/acp-11-3581-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><mixed-citation>Klappenbach, F., Bertleff, M., Kostinek, J., Hase, F., Blumenstock, T.,
Agusti-Panareda, A., Razinger, M., and Butz, A.: Accurate mobile remote
sensing of <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> latitudinal transects from aboard
a research vessel, Atmos. Meas. Tech., 8, 5023–5038,
<ext-link xlink:href="https://doi.org/10.5194/amt-8-5023-2015" ext-link-type="DOI">10.5194/amt-8-5023-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><mixed-citation>Kort, E. A., Frankenberg, C., Miller, C. E., and Oda, T.: Space-based
observations of megacity carbon dioxide, Geophys. Res. Lett., 39, L17806,
<ext-link xlink:href="https://doi.org/10.1029/2012GL052738" ext-link-type="DOI">10.1029/2012GL052738</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><mixed-citation>
Latoska, A.: Erstellung eines räumlich hoch aufgelösten
Emissionsinventar von Luftschadstoffen am Beispiel von Frankreich im Jahr
2005, Master's thesis, Institut für Energiewirtschaft und Rationelle
Energieanwendung, Universität Stuttgart, Germany, 2009.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><mixed-citation>Lauvaux, T., Miles, N. L., Deng, A., Richardson, S. J., Cambaliza, M. O.,
Davis, K. J., Gaudet, B., Gurney, K. R., Huang, J., O'Keefe, D., and Song,
Y.: High-resolution atmospheric inversion of urban <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions
during the dormant season of the Indianapolis Flux Experiment (INFLUX), J.
Geophys. Res.-Atmos., 121, 5213–5236, 2016.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><mixed-citation>
Levin, I., Hammer, S., Eichelmann, E., and Vogel, F. R.: Verification of
greenhouse gas emission reductions: the prospect of atmospheric monitoring in
polluted areas, Philos. T. R. Soc. A, 369, 1906–1924, 2011.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><mixed-citation>Menut, L., Bessagnet, B., Khvorostyanov, D., Beekmann, M., Blond, N.,
Colette, A., Coll, I., Curci, G., Foret, G., Hodzic, A., Mailler, S., Meleux,
F., Monge, J.-L., Pison, I., Siour, G., Turquety, S., Valari, M., Vautard,
R., and Vivanco, M. G.: CHIMERE 2013: a model for regional atmospheric
composition modelling, Geosci. Model Dev., 6, 981–1028,
<ext-link xlink:href="https://doi.org/10.5194/gmd-6-981-2013" ext-link-type="DOI">10.5194/gmd-6-981-2013</ext-link>, 2013.</mixed-citation></ref>
      <?pagebreak page3285?><ref id="bib1.bib33"><label>33</label><mixed-citation>Messerschmidt, J., Geibel, M. C., Blumenstock, T., Chen, H., Deutscher, N.
M., Engel, A., Feist, D. G., Gerbig, C., Gisi, M., Hase, F., Katrynski, K.,
Kolle, O., Lavric, J. V., Notholt, J., Palm, M., Ramonet, M., Rettinger, M.,
Schmidt, M., Sussmann, R., Toon, G. C., Truong, F., Warneke, T., Wennberg, P.
O., Wunch, D., and Xueref-Remy, I.: Calibration of TCCON column-averaged
<inline-formula><mml:math id="M329" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>: the first aircraft campaign over European TCCON sites, Atmos.
Chem. Phys., 11, 10765–10777, <ext-link xlink:href="https://doi.org/10.5194/acp-11-10765-2011" ext-link-type="DOI">10.5194/acp-11-10765-2011</ext-link>,
2011.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><mixed-citation>
Mitchell, L. E., Lin, J. C., Bowling, D. R., Pataki, D. E., Strong, C.,
Schauer, A. J., Bares, R., Bush, S. E., Stephens, B. B., Mendoza, D., and
Mallia, D.: Long-term urban carbon dioxide observations reveal spatial and
temporal dynamics related to urban characteristics and growth, P. Natl. Acad.
Sci. USA, 115, 2912–2917, 2018.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><mixed-citation>O'Brien, D. M., Polonsky, I. N., Utembe, S. R., and Rayner, P. J.: Potential
of a geostationary geoCARB mission to estimate surface emissions of
<inline-formula><mml:math id="M330" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and CO in a polluted urban environment: case study
Shanghai, Atmos. Meas. Tech., 9, 4633–4654,
<ext-link xlink:href="https://doi.org/10.5194/amt-9-4633-2016" ext-link-type="DOI">10.5194/amt-9-4633-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><mixed-citation>Olivier, J. and Janssens-Maenhout, G.: <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> Emissions from Fuel
Combustion – 2012 Edition, IEA <inline-formula><mml:math id="M333" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> report 2012, Part III,
Greenhouse-Gas Emissions, ISBN 978-92-64-17475-7, 2012.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><mixed-citation>
Rötzer, T. and Chmielewski, F.-M.: Phenological maps of Europe, Clim.
Res., 18, 249–257, 2001.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><mixed-citation>Schwandner, F. M., Gunson, M. R., Miller, C. E., Carn, S. A., Eldering, A.,
Krings, T., Verhulst, K. R., Schimel, D. S., Nguyen, H. M., Crisp, D., and
O'Dell, C. W.: Spaceborne detection of localized carbon dioxide sources,
Science, 358, eaam5782, <ext-link xlink:href="https://doi.org/10.1126/science.aam5782" ext-link-type="DOI">10.1126/science.aam5782</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><mixed-citation>Schneider, M. and Hase, F.: Ground-based FTIR water vapour profile analyses,
Atmos. Meas. Tech., 2, 609–619, <ext-link xlink:href="https://doi.org/10.5194/amt-2-609-2009" ext-link-type="DOI">10.5194/amt-2-609-2009</ext-link>,
2009.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><mixed-citation>Staufer, J., Broquet, G., Bréon, F.-M., Puygrenier, V., Chevallier, F.,
Xueref-Rémy, I., Dieudonné, E., Lopez, M., Schmidt, M., Ramonet, M.,
Perrussel, O., Lac, C., Wu, L., and Ciais, P.: The first 1-year-long estimate
of the Paris region fossil fuel <inline-formula><mml:math id="M334" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions based on atmospheric
inversion, Atmos. Chem. Phys., 16, 14703–14726,
<ext-link xlink:href="https://doi.org/10.5194/acp-16-14703-2016" ext-link-type="DOI">10.5194/acp-16-14703-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><mixed-citation>Strong, C., Stwertka, C., Bowling, D. R., Stephens, B. B., and Ehleringer, J.
R.: Urban carbon dioxide cycles within the Salt Lake Valley: A multiple-box
model validated by observations, J. Geophys. Res.-Atmos.,
116, D15307, <ext-link xlink:href="https://doi.org/10.1029/2011JD015693" ext-link-type="DOI">10.1029/2011JD015693</ext-link>, 2011.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib42"><label>42</label><mixed-citation>Turnbull, J. C., Sweeney, C., Karion, A., Newberger, T., Lehman, S. J., Tans,
P. P., Davis, K. J., Lauvaux, T., Miles, N. L., Richardson, S. J., and
Cambaliza, M. O.: Toward quantification and source sector identification of
fossil fuel <inline-formula><mml:math id="M335" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from an urban area: Results from the INFLUX
experiment, J. Geophys. Res.-Atmos., 120, 292–312, 2015.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><mixed-citation>Vogel, F. R., Ishizawa, M., Chan, E., Chan, D., Hammer, S., Levin, I., and
Worthy, D. E. J.: Regional non-<inline-formula><mml:math id="M336" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> greenhouse gas fluxes inferred
from atmospheric measurements in Ontario, Canada, J. Integr. Environ. Sci.,
9, 41–55, 2012.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><mixed-citation>Vogel, F. R., Thiruchittampalam, B., Theloke, J., Kretschmer, R., Gerbig, C.,
Hammer, S., and Levin, I.: Can we evaluate a fine-grained emission model
using high-resolution atmospheric transport modelling and regional fossil
fuel <inline-formula><mml:math id="M337" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observations?, Tellus B, 65, 18681,
<ext-link xlink:href="https://doi.org/10.3402/tellusb.v65i0.18681" ext-link-type="DOI">10.3402/tellusb.v65i0.18681</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><mixed-citation>Wunch, D., Toon, G. C., Wennberg, P. O., Wofsy, S. C., Stephens, B. B.,
Fischer, M. L., Uchino, O., Abshire, J. B., Bernath, P., Biraud, S. C.,
Blavier, J.-F. L., Boone, C., Bowman, K. P., Browell, E. V., Campos, T.,
Connor, B. J., Daube, B. C., Deutscher, N. M., Diao, M., Elkins, J. W.,
Gerbig, C., Gottlieb, E., Griffith, D. W. T., Hurst, D. F., Jiménez, R.,
Keppel-Aleks, G., Kort, E. A., Macatangay, R., Machida, T., Matsueda, H.,
Moore, F., Morino, I., Park, S., Robinson, J., Roehl, C. M., Sawa, Y.,
Sherlock, V., Sweeney, C., Tanaka, T., and Zondlo, M. A.: Calibration of the
Total Carbon Column Observing Network using aircraft profile data, Atmos.
Meas. Tech., 3, 1351–1362, <ext-link xlink:href="https://doi.org/10.5194/amt-3-1351-2010" ext-link-type="DOI">10.5194/amt-3-1351-2010</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><mixed-citation>
Wunch, D., Toon, G. C., Blavier, J. F. L., Washenfelder, R. A., Notholt, J.,
Connor, B. J., Griffith, D. W. T., Sherlock, V., and Wennberg, P. O.: The
total carbon column observing network, Philos. T. R. Soc. A, 369, 2087–2112,
2011.</mixed-citation></ref>
      <ref id="bib1.bib47"><label>47</label><mixed-citation>Xueref-Remy, I., Dieudonné, E., Vuillemin, C., Lopez, M., Lac, C.,
Schmidt, M., Delmotte, M., Chevallier, F., Ravetta, F., Perrussel, O., Ciais,
P., Bréon, F.-M., Broquet, G., Ramonet, M., Spain, T. G., and Ampe, C.:
Diurnal, synoptic and seasonal variability of atmospheric <inline-formula><mml:math id="M338" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the
Paris megacity area, Atmos. Chem. Phys., 18, 3335–3362,
<ext-link xlink:href="https://doi.org/10.5194/acp-18-3335-2018" ext-link-type="DOI">10.5194/acp-18-3335-2018</ext-link>, 2018.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>XCO<sub>2</sub> in an emission hot-spot region: the COCCON Paris campaign 2015</article-title-html>
<abstract-html><p>Providing timely information on urban greenhouse gas (GHG) emissions and
their trends to stakeholders relies on reliable measurements of atmospheric
concentrations and the understanding of how local emissions and atmospheric
transport influence these observations.</p><p>Portable Fourier transform infrared (FTIR) spectrometers were deployed at five stations
in the Paris metropolitan area to provide column-averaged
concentrations of CO<sub>2</sub> (XCO<sub>2</sub>)  during a field campaign in spring of
2015, as part of the Collaborative Carbon Column Observing Network (COCCON).
Here, we describe and analyze the variations of XCO<sub>2</sub> observed at
different sites and how they changed over time. We find that observations
upwind and downwind of the city centre differ significantly in their
XCO<sub>2</sub> concentrations, while the overall variability of the daily cycle
is similar, i.e. increasing during night-time with a strong decrease
(typically 2–3&thinsp;ppm) during the afternoon.</p><p>An atmospheric transport model framework (CHIMERE-CAMS) was used to simulate
XCO<sub>2</sub> and predict the same behaviour seen in the observations, which
supports key findings, e.g. that even in a densely populated region like
Paris (over 12 million people), biospheric uptake of CO<sub>2</sub> can be of
major influence on daily XCO<sub>2</sub> variations. Despite a general offset
between modelled and observed XCO<sub>2</sub>, the model correctly predicts the
impact of the meteorological parameters (e.g. wind direction and speed) on
the concentration gradients between different stations. When analyzing local
gradients of XCO<sub>2</sub> for upwind and downwind station pairs, those local gradients are found to
be less sensitive to changes in XCO<sub>2</sub> boundary conditions and biogenic
fluxes within the domain and we find the model–data agreement further
improves. Our modelling framework indicates that the local XCO<sub>2</sub>
gradient between the stations is dominated by the fossil fuel CO<sub>2</sub>
signal of the Paris metropolitan area. This further highlights the potential
usefulness of XCO<sub>2</sub> observations to help optimize future urban GHG
emission estimates.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Agustí-Panareda, A., Massart, S., Chevallier, F., Boussetta, S.,
Balsamo, G., Beljaars, A., Ciais, P., Deutscher, N. M., Engelen, R., Jones,
L., Kivi, R., Paris, J.-D., Peuch, V.-H., Sherlock, V., Vermeulen, A. T.,
Wennberg, P. O., and Wunch, D.: Forecasting global atmospheric CO<sub>2</sub>,
Atmos. Chem. Phys., 14, 11959–11983,
<a href="https://doi.org/10.5194/acp-14-11959-2014" target="_blank">https://doi.org/10.5194/acp-14-11959-2014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
AIRPARIF: Inventaire régional des émissions en Île-de-France
Année de référence 2012 – éléments synthétiques,
Edition Mai 2016, Paris, France, available at:
<a href="https://www.airparif.asso.fr/_pdf/publications/inventaire-emissions-idf-2012-150121.pdf" target="_blank">https://www.airparif.asso.fr/_pdf/publications/inventaire-emissions-idf-2012-150121.pdf</a>
(last access: 14 December 2017), 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Ammoura, L., Xueref-Remy, I., Vogel, F., Gros, V., Baudic, A., Bonsang, B.,
Delmotte, M., Té, Y., and Chevallier, F.: Exploiting stagnant conditions
to derive robust emission ratio estimates for CO<sub>2</sub>, CO and volatile
organic compounds in Paris, Atmos. Chem. Phys., 16, 15653–15664,
<a href="https://doi.org/10.5194/acp-16-15653-2016" target="_blank">https://doi.org/10.5194/acp-16-15653-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Belikov, D., Maksyutov, S., Ganshin, A., Zhuravlev, R., Deutscher, N. M.,
Wunch, D., Feist, D. G., Morino, I., Parker, R. J., Strong, K., and Yoshida,
Y.: Study of the footprints of short-term variation in XCO<sub>2</sub> observed by
TCCON sites using NIES and FLEXPART atmospheric transport models, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
Bréon, F. M., Broquet, G., Puygrenier, V., Chevallier, F., Xueref-Remy,
I., Ramonet, M., Dieudonné, E., Lopez, M., Schmidt, M., Perrussel, O., and
Ciais, P.: An attempt at estimating Paris area CO<sub>2</sub> emissions from
atmospheric concentration measurements, Atmos. Chem. Phys., 15, 1707–1724,
<a href="https://doi.org/10.5194/acp-15-1707-2015" target="_blank">https://doi.org/10.5194/acp-15-1707-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
Broquet, G., Bréon, F.-M., Renault, E., Buchwitz, M., Reuter, M., Bovensmann,
H., Chevallier, F., Wu, L., and Ciais, P.: The potential of satellite
spectro-imagery for monitoring CO<sub>2</sub> emissions from large cities,
Atmos. Meas. Tech., 11, 681–708, <a href="https://doi.org/10.5194/amt-11-681-2018" target="_blank">https://doi.org/10.5194/amt-11-681-2018</a>,
2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
Boussetta, S., Balsamo, G., Beljaars, A., Panareda, A. A., Calvet, J. C.,
Jacobs, C., Hurk, B., Viterbo, P., Lafont, S., Dutra, E., and Jarlan, L.:
Natural land carbon dioxide exchanges in the ECMWF Integrated Forecasting
System: Implementation and offline validation, J. Geophys. Res.-Atmos., 118,
5923–5946, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
Butz, A., Orphal, J., Checa-Garcia, R., Friedl-Vallon, F., von Clarmann, T.,
Bovensmann, H., Hasekamp, O., Landgraf, J., Knigge, T., Weise, D.,
Sqalli-Houssini, O., and Kemper, D.: Geostationary Emission Explorer for
Europe (G3E): mission concept and initial performance assessment, Atmos.
Meas. Tech., 8, 4719–4734, <a href="https://doi.org/10.5194/amt-8-4719-2015" target="_blank">https://doi.org/10.5194/amt-8-4719-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
Chen, J., Viatte, C., Hedelius, J. K., Jones, T., Franklin, J. E., Parker,
H., Gottlieb, E. W., Wennberg, P. O., Dubey, M. K., and Wofsy, S. C.:
Differential column measurements using compact solar-tracking spectrometers,
Atmos. Chem. Phys., 16, 8479–8498, <a href="https://doi.org/10.5194/acp-16-8479-2016" target="_blank">https://doi.org/10.5194/acp-16-8479-2016</a>,
2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
Ciais, P., Crisp, D., Denier van der Gon, H., Engelen, R., Heimann, M.,
Janssens-Maenhout, G., Rayner, P., and Scholze, M.: Towards a European
Operational Observing System to Monitor Fossil CO<sub>2</sub> Emissions, Final
Report from the Expert Group, European Commission, October 2015, available
at: <a href="http://edgar.jrc.ec.europa.eu/news_docs/CO2_report_22-10-2015.pdf" target="_blank">http://edgar.jrc.ec.europa.eu/news_docs/CO2_report_22-10-2015.pdf</a>
(last access: 6 February 2018), 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
Dhakal, S.: Urban energy use and carbon emissions from cities in China and
policy implications, Energ. Policy, 37, 4208–4219, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
Frey, M., Hase, F., Blumenstock, T., Groß, J., Kiel, M., Mengistu Tsidu, G.,
Schäfer, K., Sha, M. K., and Orphal, J.: Calibration and instrumental
line shape characterization of a set of portable FTIR spectrometers for
detecting greenhouse gas emissions, Atmos. Meas. Tech., 8, 3047–3057,
<a href="https://doi.org/10.5194/amt-8-3047-2015" target="_blank">https://doi.org/10.5194/amt-8-3047-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
Frey, M., Sha, M. K., Hase, F., Kiel, M., Blumenstock, T., Harig, R.,
Surawicz, G., Deutscher, N. M., Shiomi, K., Franklin, J., Bösch, H., Chen,
J., Grutter, M., Ohyama, H., Sun, Y., Butz, A., Mengistu Tsidu, G., Ene, D.,
Wunch, D., Cao, Z., Garcia, O., Ramonet, M., Vogel, F., and Orphal, J.:
Building the COllaborative Carbon Column Observing Network (COCCON): Long
term stability and ensemble performance of the EM27/SUN Fourier transform
spectrometer, Atmos. Meas. Tech. Discuss.,
<a href="https://doi.org/10.5194/amt-2018-146" target="_blank">https://doi.org/10.5194/amt-2018-146</a>, in review, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
Gisi, M., Hase, F., Dohe, S., Blumenstock, T., Simon, A., and Keens, A.:
XCO<sub>2</sub>-measurements with a tabletop FTS using solar absorption
spectroscopy, Atmos. Meas. Tech., 5, 2969–2980,
<a href="https://doi.org/10.5194/amt-5-2969-2012" target="_blank">https://doi.org/10.5194/amt-5-2969-2012</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
Hase, F., Frey, M., Blumenstock, T., Groß, J., Kiel, M., Kohlhepp, R.,
Mengistu Tsidu, G., Schäfer, K., Sha, M. K., and Orphal, J.: Application of
portable FTIR spectrometers for detecting greenhouse gas emissions of the
major city Berlin, Atmos. Meas. Tech., 8, 3059–3068,
<a href="https://doi.org/10.5194/amt-8-3059-2015" target="_blank">https://doi.org/10.5194/amt-8-3059-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
Hase, F., Frey, M., Kiel, M., Blumenstock, T., Harig, R., Keens, A., and
Orphal, J.: Addition of a channel for XCO observations to a portable FTIR
spectrometer for greenhouse gas measurements, Atmos. Meas. Tech., 9,
2303–2313, <a href="https://doi.org/10.5194/amt-9-2303-2016" target="_blank">https://doi.org/10.5194/amt-9-2303-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
Hedelius, J. K., Viatte, C., Wunch, D., Roehl, C. M., Toon, G. C., Chen, J.,
Jones, T., Wofsy, S. C., Franklin, J. E., Parker, H., Dubey, M. K., and
Wennberg, P. O.: Assessment of errors and biases in retrievals of
X<sub>CO<sub>2</sub></sub>, X<sub>CH<sub>4</sub></sub>, X<sub>CO</sub>, and X<sub>N<sub>2</sub>O</sub>
from a 0.5&thinsp;cm<sup>−1</sup> resolution solar-viewing spectrometer, Atmos. Meas.
Tech., 9, 3527–3546, <a href="https://doi.org/10.5194/amt-9-3527-2016" target="_blank">https://doi.org/10.5194/amt-9-3527-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
Heinle, L. and Chen, J.: Automated enclosure and protection system for
compact solar-tracking spectrometers, Atmos. Meas. Tech., 11, 2173–2185,
<a href="https://doi.org/10.5194/amt-11-2173-2018" target="_blank">https://doi.org/10.5194/amt-11-2173-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
IEA (International Energy Agency): World Energy Outlook, IEA Publications,
Paris, France ISBN 978926404560-6, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
INSEE: Institut national de la statistique et des etudes economiquem, available at: <a href="https://www.insee.fr/fr/statistiques" target="_blank">https://www.insee.fr/fr/statistiques</a>
(last access: 1 March 2019), 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
IPCC, 2013: Climate Change 2013: The Physical Science Basis. Contribution of
Working Group I to the Fifth Assessment Report of the Intergovernmental Panel
on Climate Change, edited by: Stocker, T. F., Qin, D., Plattner, G.-K.,
Tignor, M., Allen, S. K., Boschung, J., Nauels, A., Xia, Y., Bex, V., and
Midgley, P. M., Cambridge University Press, Cambridge, United Kingdom and New
York, NY, USA, 1535 pp., 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
IPCC, 2014: Climate Change 2014: Mitigation of Climate Change. Contribution
of Working Group III to the Fifth Assessment Report of the Intergovernmental
Panel on Climate Change, edited by: Edenhofer, O., Pichs-Madruga, R., Sokona,
Y., Farahani, E., Kadner, S., Seyboth, K., Adler, A., Baum, I., Brunner, S.,
Eickemeier, P.,  Kriemann, B.,  Savolainen, J.,  Schlömer, S.,  von
Stechow, C.,
Zwickel, T., and Minx, J. C., Cambridge University Press, Cambridge, United
Kingdom and New York, NY, USA, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
Janardanan, R., Maksyutov, S., Oda, T., Saito, M., Kaiser, J. W., Ganshin,
A., Stohl, A., Matsunaga, T., Yoshida, Y., and Yokota, T.: Comparing GOSAT
observations of localized CO<sub>2</sub> enhancements by large emitters with
inventory-based estimates, Geophys. Res. Lett., 43, 3486–3493,
<a href="https://doi.org/10.1002/2016GL067843" target="_blank">https://doi.org/10.1002/2016GL067843</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
Jones, N.: Troubling milestone for CO<sub>2</sub>, Nat. Geosci., 6, 589–589,
2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
Keppel-Aleks, G., Toon, G. C., Wennberg, P. O., and Deutscher, N. M.:
Reducing the impact of source brightness fluctuations on spectra obtained by
Fourier-transform spectrometry, Appl. Optics, 46, 4774–4779, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
Keppel-Aleks, G., Wennberg, P. O., and Schneider, T.: Sources of variations
in total column carbon dioxide, Atmos. Chem. Phys., 11, 3581–3593,
<a href="https://doi.org/10.5194/acp-11-3581-2011" target="_blank">https://doi.org/10.5194/acp-11-3581-2011</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
Klappenbach, F., Bertleff, M., Kostinek, J., Hase, F., Blumenstock, T.,
Agusti-Panareda, A., Razinger, M., and Butz, A.: Accurate mobile remote
sensing of XCO<sub>2</sub> and XCH<sub>4</sub> latitudinal transects from aboard
a research vessel, Atmos. Meas. Tech., 8, 5023–5038,
<a href="https://doi.org/10.5194/amt-8-5023-2015" target="_blank">https://doi.org/10.5194/amt-8-5023-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>
Kort, E. A., Frankenberg, C., Miller, C. E., and Oda, T.: Space-based
observations of megacity carbon dioxide, Geophys. Res. Lett., 39, L17806,
<a href="https://doi.org/10.1029/2012GL052738" target="_blank">https://doi.org/10.1029/2012GL052738</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
Latoska, A.: Erstellung eines räumlich hoch aufgelösten
Emissionsinventar von Luftschadstoffen am Beispiel von Frankreich im Jahr
2005, Master's thesis, Institut für Energiewirtschaft und Rationelle
Energieanwendung, Universität Stuttgart, Germany, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
Lauvaux, T., Miles, N. L., Deng, A., Richardson, S. J., Cambaliza, M. O.,
Davis, K. J., Gaudet, B., Gurney, K. R., Huang, J., O'Keefe, D., and Song,
Y.: High-resolution atmospheric inversion of urban CO<sub>2</sub> emissions
during the dormant season of the Indianapolis Flux Experiment (INFLUX), J.
Geophys. Res.-Atmos., 121, 5213–5236, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
Levin, I., Hammer, S., Eichelmann, E., and Vogel, F. R.: Verification of
greenhouse gas emission reductions: the prospect of atmospheric monitoring in
polluted areas, Philos. T. R. Soc. A, 369, 1906–1924, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
Menut, L., Bessagnet, B., Khvorostyanov, D., Beekmann, M., Blond, N.,
Colette, A., Coll, I., Curci, G., Foret, G., Hodzic, A., Mailler, S., Meleux,
F., Monge, J.-L., Pison, I., Siour, G., Turquety, S., Valari, M., Vautard,
R., and Vivanco, M. G.: CHIMERE 2013: a model for regional atmospheric
composition modelling, Geosci. Model Dev., 6, 981–1028,
<a href="https://doi.org/10.5194/gmd-6-981-2013" target="_blank">https://doi.org/10.5194/gmd-6-981-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
Messerschmidt, J., Geibel, M. C., Blumenstock, T., Chen, H., Deutscher, N.
M., Engel, A., Feist, D. G., Gerbig, C., Gisi, M., Hase, F., Katrynski, K.,
Kolle, O., Lavric, J. V., Notholt, J., Palm, M., Ramonet, M., Rettinger, M.,
Schmidt, M., Sussmann, R., Toon, G. C., Truong, F., Warneke, T., Wennberg, P.
O., Wunch, D., and Xueref-Remy, I.: Calibration of TCCON column-averaged
CO<sub>2</sub>: the first aircraft campaign over European TCCON sites, Atmos.
Chem. Phys., 11, 10765–10777, <a href="https://doi.org/10.5194/acp-11-10765-2011" target="_blank">https://doi.org/10.5194/acp-11-10765-2011</a>,
2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
Mitchell, L. E., Lin, J. C., Bowling, D. R., Pataki, D. E., Strong, C.,
Schauer, A. J., Bares, R., Bush, S. E., Stephens, B. B., Mendoza, D., and
Mallia, D.: Long-term urban carbon dioxide observations reveal spatial and
temporal dynamics related to urban characteristics and growth, P. Natl. Acad.
Sci. USA, 115, 2912–2917, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
O'Brien, D. M., Polonsky, I. N., Utembe, S. R., and Rayner, P. J.: Potential
of a geostationary geoCARB mission to estimate surface emissions of
CO<sub>2</sub>, CH<sub>4</sub> and CO in a polluted urban environment: case study
Shanghai, Atmos. Meas. Tech., 9, 4633–4654,
<a href="https://doi.org/10.5194/amt-9-4633-2016" target="_blank">https://doi.org/10.5194/amt-9-4633-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>
Olivier, J. and Janssens-Maenhout, G.: CO<sub>2</sub> Emissions from Fuel
Combustion – 2012 Edition, IEA CO<sub>2</sub> report 2012, Part III,
Greenhouse-Gas Emissions, ISBN 978-92-64-17475-7, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>
Rötzer, T. and Chmielewski, F.-M.: Phenological maps of Europe, Clim.
Res., 18, 249–257, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
Schwandner, F. M., Gunson, M. R., Miller, C. E., Carn, S. A., Eldering, A.,
Krings, T., Verhulst, K. R., Schimel, D. S., Nguyen, H. M., Crisp, D., and
O'Dell, C. W.: Spaceborne detection of localized carbon dioxide sources,
Science, 358, eaam5782, <a href="https://doi.org/10.1126/science.aam5782" target="_blank">https://doi.org/10.1126/science.aam5782</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>
Schneider, M. and Hase, F.: Ground-based FTIR water vapour profile analyses,
Atmos. Meas. Tech., 2, 609–619, <a href="https://doi.org/10.5194/amt-2-609-2009" target="_blank">https://doi.org/10.5194/amt-2-609-2009</a>,
2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>
Staufer, J., Broquet, G., Bréon, F.-M., Puygrenier, V., Chevallier, F.,
Xueref-Rémy, I., Dieudonné, E., Lopez, M., Schmidt, M., Ramonet, M.,
Perrussel, O., Lac, C., Wu, L., and Ciais, P.: The first 1-year-long estimate
of the Paris region fossil fuel CO<sub>2</sub> emissions based on atmospheric
inversion, Atmos. Chem. Phys., 16, 14703–14726,
<a href="https://doi.org/10.5194/acp-16-14703-2016" target="_blank">https://doi.org/10.5194/acp-16-14703-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>
Strong, C., Stwertka, C., Bowling, D. R., Stephens, B. B., and Ehleringer, J.
R.: Urban carbon dioxide cycles within the Salt Lake Valley: A multiple-box
model validated by observations, J. Geophys. Res.-Atmos.,
116, D15307, <a href="https://doi.org/10.1029/2011JD015693" target="_blank">https://doi.org/10.1029/2011JD015693</a>, 2011.

</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>
Turnbull, J. C., Sweeney, C., Karion, A., Newberger, T., Lehman, S. J., Tans,
P. P., Davis, K. J., Lauvaux, T., Miles, N. L., Richardson, S. J., and
Cambaliza, M. O.: Toward quantification and source sector identification of
fossil fuel CO<sub>2</sub> emissions from an urban area: Results from the INFLUX
experiment, J. Geophys. Res.-Atmos., 120, 292–312, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>
Vogel, F. R., Ishizawa, M., Chan, E., Chan, D., Hammer, S., Levin, I., and
Worthy, D. E. J.: Regional non-CO<sub>2</sub> greenhouse gas fluxes inferred
from atmospheric measurements in Ontario, Canada, J. Integr. Environ. Sci.,
9, 41–55, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>
Vogel, F. R., Thiruchittampalam, B., Theloke, J., Kretschmer, R., Gerbig, C.,
Hammer, S., and Levin, I.: Can we evaluate a fine-grained emission model
using high-resolution atmospheric transport modelling and regional fossil
fuel CO<sub>2</sub> observations?, Tellus B, 65, 18681,
<a href="https://doi.org/10.3402/tellusb.v65i0.18681" target="_blank">https://doi.org/10.3402/tellusb.v65i0.18681</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>
Wunch, D., Toon, G. C., Wennberg, P. O., Wofsy, S. C., Stephens, B. B.,
Fischer, M. L., Uchino, O., Abshire, J. B., Bernath, P., Biraud, S. C.,
Blavier, J.-F. L., Boone, C., Bowman, K. P., Browell, E. V., Campos, T.,
Connor, B. J., Daube, B. C., Deutscher, N. M., Diao, M., Elkins, J. W.,
Gerbig, C., Gottlieb, E., Griffith, D. W. T., Hurst, D. F., Jiménez, R.,
Keppel-Aleks, G., Kort, E. A., Macatangay, R., Machida, T., Matsueda, H.,
Moore, F., Morino, I., Park, S., Robinson, J., Roehl, C. M., Sawa, Y.,
Sherlock, V., Sweeney, C., Tanaka, T., and Zondlo, M. A.: Calibration of the
Total Carbon Column Observing Network using aircraft profile data, Atmos.
Meas. Tech., 3, 1351–1362, <a href="https://doi.org/10.5194/amt-3-1351-2010" target="_blank">https://doi.org/10.5194/amt-3-1351-2010</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>
Wunch, D., Toon, G. C., Blavier, J. F. L., Washenfelder, R. A., Notholt, J.,
Connor, B. J., Griffith, D. W. T., Sherlock, V., and Wennberg, P. O.: The
total carbon column observing network, Philos. T. R. Soc. A, 369, 2087–2112,
2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>47</label><mixed-citation>
Xueref-Remy, I., Dieudonné, E., Vuillemin, C., Lopez, M., Lac, C.,
Schmidt, M., Delmotte, M., Chevallier, F., Ravetta, F., Perrussel, O., Ciais,
P., Bréon, F.-M., Broquet, G., Ramonet, M., Spain, T. G., and Ampe, C.:
Diurnal, synoptic and seasonal variability of atmospheric CO<sub>2</sub> in the
Paris megacity area, Atmos. Chem. Phys., 18, 3335–3362,
<a href="https://doi.org/10.5194/acp-18-3335-2018" target="_blank">https://doi.org/10.5194/acp-18-3335-2018</a>, 2018.
</mixed-citation></ref-html>--></article>
