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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" dtd-version="3.0"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">AMT</journal-id>
<journal-title-group>
<journal-title>Atmospheric Measurement Techniques</journal-title>
<abbrev-journal-title abbrev-type="publisher">AMT</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Atmos. Meas. Tech.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1867-8548</issn>
<publisher><publisher-name>Copernicus GmbH</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/amt-8-4785-2015</article-id><title-group><article-title>Assessing 5 years of GOSAT Proxy <inline-formula><mml:math 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> data and <?xmltex \hack{\newline}?>associated uncertainties</article-title>
      </title-group><?xmltex \runningtitle{Assessing 5~years of GOSAT Proxy {$\chem{XCH_{4}}$} data and associated uncertainties}?><?xmltex \runningauthor{R.~J.~Parker et~al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Parker</surname><given-names>R. J.</given-names></name>
          <email>rjp23@le.ac.uk</email>
        <ext-link>https://orcid.org/0000-0002-0801-0831</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Boesch</surname><given-names>H.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Byckling</surname><given-names>K.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Webb</surname><given-names>A. J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4">
          <name><surname>Palmer</surname><given-names>P. I.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1487-0969</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4">
          <name><surname>Feng</surname><given-names>L.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Bergamaschi</surname><given-names>P.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4555-1829</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Chevallier</surname><given-names>F.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4327-3813</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Notholt</surname><given-names>J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7 aff11">
          <name><surname>Deutscher</surname><given-names>N.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2906-2577</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Warneke</surname><given-names>T.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Hase</surname><given-names>F.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Sussmann</surname><given-names>R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <name><surname>Kawakami</surname><given-names>S.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10">
          <name><surname>Kivi</surname><given-names>R.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8828-2759</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff11">
          <name><surname>Griffith</surname><given-names>D. W. T.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7986-1924</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff11">
          <name><surname>Velazco</surname><given-names>V.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Earth Observation Science, Department of Physics and Astronomy, University of Leicester, Leicester, UK</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>National Centre for Earth Observation, Department of Physics and Astronomy, University of Leicester, Leicester, UK</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>School of GeoSciences, University of Edinburgh, Edinburgh, UK</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>National Centre for Earth Observation, School of GeoSciences, University of Edinburgh, Edinburgh, UK</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>European Commission Joint Research Centre, Institute for Environment and Sustainability, Ispra, Italy</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Lab. des Sciences du Climat et de l'Environnement, CNRS, Gif-sur-Yvette, France</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Institute of Environmental Physics, University of Bremen, Bremen, Germany</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Karlsruhe Institut für Technologie, Karlsruhe, Germany</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>Japan Aerospace Exploration Agency (JAXA), Tsukuba, Japan</institution>
        </aff>
        <aff id="aff10"><label>10</label><institution>Finnish Meteorological Institute, Arctic Research, Sodankylä, Finland</institution>
        </aff>
        <aff id="aff11"><label>11</label><institution>School of Chemistry, University of Wollongong, Wollongong, Australia</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">R. J. Parker (rjp23@le.ac.uk)</corresp></author-notes><pub-date><day>17</day><month>November</month><year>2015</year></pub-date>
      
      <volume>8</volume>
      <issue>11</issue>
      <fpage>4785</fpage><lpage>4801</lpage>
      <history>
        <date date-type="received"><day>5</day><month>May</month><year>2015</year></date>
           <date date-type="rev-request"><day>17</day><month>June</month><year>2015</year></date>
           <date date-type="rev-recd"><day>20</day><month>October</month><year>2015</year></date>
           <date date-type="accepted"><day>29</day><month>October</month><year>2015</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://amt.copernicus.org/articles/8/4785/2015/amt-8-4785-2015.html">This article is available from https://amt.copernicus.org/articles/8/4785/2015/amt-8-4785-2015.html</self-uri>
<self-uri xlink:href="https://amt.copernicus.org/articles/8/4785/2015/amt-8-4785-2015.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/8/4785/2015/amt-8-4785-2015.pdf</self-uri>


      <abstract>
    <p>We present 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">years</mml:mi></mml:math></inline-formula> of GOSAT <inline-formula><mml:math 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> retrieved using the
“proxy” approach. The Proxy <inline-formula><mml:math 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> data are validated against
ground-based TCCON observations and are found to be of high quality
with a small bias of 4.8 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>0.27</mml:mn></mml:mrow></mml:math></inline-formula> %) and
a single-sounding precision of 13.4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn> 0.74</mml:mn></mml:mrow></mml:math></inline-formula> %). The station-to-station bias (a measure of the relative
accuracy) is found to be 4.2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>. For the first time the
<inline-formula><mml:math display="inline"><mml:mrow><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:mspace linebreak="nobreak" width="0.25em"/><mml:mo>/</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><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:mrow></mml:math></inline-formula> ratio component of the Proxy
retrieval is
validated (bias of 0.014 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">ppb</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ppm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>0.30</mml:mn></mml:mrow></mml:math></inline-formula> %),
single-sounding precision of 0.033 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">ppb</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ppm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>0.72</mml:mn></mml:mrow></mml:math></inline-formula> %)).</p>
    <p>The uncertainty relating to the model <inline-formula><mml:math 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> component of the
Proxy <inline-formula><mml:math 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> is assessed through the use of an ensemble of
<inline-formula><mml:math 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> models. While each individual <inline-formula><mml:math 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> model is found to
agree well with the TCCON validation data (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn>0.94</mml:mn></mml:mrow></mml:math></inline-formula>–0.97), it is
not possible to select one model as the best from our
comparisons. The median <inline-formula><mml:math 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> value of the ensemble has
a smaller scatter against TCCON (a standard deviation of
0.92 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppm</mml:mi></mml:math></inline-formula>) than any of the individual models whilst
maintaining a small bias (0.15 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppm</mml:mi></mml:math></inline-formula>). This model median
<inline-formula><mml:math 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 used to calculate the Proxy <inline-formula><mml:math 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> with the maximum
deviation of the ensemble from the median used as an estimate of the
uncertainty.</p>
    <p>We compare this uncertainty to the a posteriori retrieval error (which is assumed to reduce with sqrt(<inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>)) and
find typically that the model <inline-formula><mml:math 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> uncertainty becomes
significant during summer months when the a posteriori error is at
its lowest due to the increase in signal related to increased
summertime reflected sunlight.</p>
    <p>We assess the significance of these model and retrieval
uncertainties on flux inversion by comparing the GOSAT <inline-formula><mml:math 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>
against modelled <inline-formula><mml:math 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> from TM5-4DVAR constrained by NOAA
surface observations (MACC reanalysis scenario S1-NOAA). We find
that for the majority of regions the differences are much larger
than the estimated uncertainties. Our findings show that useful
information will be provided to the inversions for the majority of
regions in addition to that already provided by the assimilated surface
measurements.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Atmospheric methane (<inline-formula><mml:math 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>) contributes significantly to the
Earth's radiative forcing budget <xref ref-type="bibr" rid="bib1.bibx34" id="paren.1"/>, making it the
second most important anthropogenic greenhouse gas after carbon
dioxide (<inline-formula><mml:math 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 major sources of atmospheric methane
include wetland emission, rice production, enteric fermentation
(cattle), termites, biomass burning, fossil fuel production, and waste
<xref ref-type="bibr" rid="bib1.bibx6" id="paren.2"/>. There remains, however, a large degree of
uncertainty on the magnitude of these individual sources
<xref ref-type="bibr" rid="bib1.bibx29" id="paren.3"/>.</p>
      <p>The lifetime of <inline-formula><mml:math 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> in the atmosphere is mainly controlled by
its reaction with the hydroxyl free radical (OH), resulting in an
atmospheric lifetime of approximately 9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">years</mml:mi></mml:math></inline-formula>
<xref ref-type="bibr" rid="bib1.bibx40" id="paren.4"/>. Given its long atmospheric lifetime, there is
a need for long-term global measurements to fully understand how the
atmospheric distribution of <inline-formula><mml:math 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> is evolving with time. Indeed,
recent unexpected variability in the atmospheric growth rate of
methane has emphasised gaps in our current understanding
<xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx17 bib1.bibx35" id="paren.5"/>.</p>
      <p>In order to begin to understand the spatio-temporal distribution of
atmospheric methane, regular global satellite observations of
<inline-formula><mml:math 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> can be coupled with highly precise but geographically
sparse surface concentration data. Through the combination of both
data sources, the large uncertainties related to the upscaling of
surface concentration data can be minimised whilst also obtaining
information in remote regions where surface measurements are not
available.</p>
      <p>Various studies have demonstrated the utility of such space-borne
measurements in determining the regional surface fluxes of methane
using data from the SCIAMACHY
<xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx3 bib1.bibx4 bib1.bibx27" id="paren.6"/>
and Greenhouse gases Observing SATellite (GOSAT) <xref ref-type="bibr" rid="bib1.bibx21 bib1.bibx13 bib1.bibx33 bib1.bibx1" id="paren.7"/>
instruments.</p>
      <p>The SCIAMACHY instrument operated onboard ENVISAT and provided
a 9-<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">year</mml:mi></mml:math></inline-formula> record (2003–2012) of global methane total column
observations <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx20" id="paren.8"/>.  The
continuation of this time series of space-based observations was
ensured by the launch of the first dedicated greenhouse gas measuring
satellite, the Japanese GOSAT,
in 2009 <xref ref-type="bibr" rid="bib1.bibx54" id="paren.9"/>. GOSAT provides global coverage with
a 3-day repeat cycle and was designed with the intention of
characterising continental-scale sources and sinks.</p>
      <p>In a previous work <xref ref-type="bibr" rid="bib1.bibx38" id="paren.10"/> we presented the first year of
our global short-wave infrared (SWIR) measurements of the dry-air
column-averaged mole fraction of <inline-formula><mml:math 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> (<inline-formula><mml:math 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>) from the
GOSAT mission using the “proxy” retrieval approach. This data
product has subsequently been developed <xref ref-type="bibr" rid="bib1.bibx7" id="paren.11"/> and
validated <xref ref-type="bibr" rid="bib1.bibx16" id="paren.12"/> as part of the ESA Climate Change
Initiative Greenhouse Gas project and we now report an assessment of
the full 5-<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">year</mml:mi></mml:math></inline-formula> data set for version 5.0 of the University of
Leicester GOSAT Proxy <inline-formula><mml:math 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> data product.</p>
      <p>This work is motivated by the desire to better understand the
uncertainty characteristics of the Proxy <inline-formula><mml:math 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> data for use
within flux inversion systems, especially relating to uncertainties
introduced by the model <inline-formula><mml:math 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>.</p>
      <p>In Sect. <xref ref-type="sec" rid="Ch1.S2"/> we describe the retrieval approach,
including details of the updates since the original version of the
University of Leicester GOSAT Proxy <inline-formula><mml:math 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> data
<xref ref-type="bibr" rid="bib1.bibx38" id="paren.13"/>. In Sect. <xref ref-type="sec" rid="Ch1.S3"/> we compare both the
Proxy <inline-formula><mml:math 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> and the <inline-formula><mml:math display="inline"><mml:mrow><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:mo>/</mml:mo><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:mrow></mml:math></inline-formula> ratio against
the ground-based validation data. In Sect. <xref ref-type="sec" rid="Ch1.S4"/> we
assess the <inline-formula><mml:math 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> model component of the Proxy <inline-formula><mml:math 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> for
the first time, with Sect. <xref ref-type="sec" rid="Ch1.S5"/> then
discussing the associated uncertainty of the final Proxy <inline-formula><mml:math 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>
product and its utility in constraining surface fluxes within an
inversion framework. Finally, we conclude the paper in
Sect. <xref ref-type="sec" rid="Ch1.S6"/> and provide recommendations for data
users.</p>
</sec>
<sec id="Ch1.S2">
  <?xmltex \opttitle{University of Leicester GOSAT Proxy {$\chem{XCH_{4}}$} retrieval
updates}?><title>University of Leicester GOSAT Proxy <inline-formula><mml:math 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> retrieval
updates</title>
      <p>The University of Leicester GOSAT Proxy <inline-formula><mml:math 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> retrieval
utilises the Orbiting Carbon Observatory (OCO) “full physics” retrieval algorithm, developed for
the original NASA OCO mission to
retrieve <inline-formula><mml:math 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> (dry-air column-averaged mole fraction of
<inline-formula><mml:math 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 a simultaneous fit of SWIR <inline-formula><mml:math 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> and
<inline-formula><mml:math 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> bands and has subsequently been modified to operate on
GOSAT spectral data.</p>
      <p>Full details of the OCO retrieval algorithm can be found in
<xref ref-type="bibr" rid="bib1.bibx36" id="text.14"/>. In short, the retrieval algorithm utilises an
iterative retrieval scheme based on Bayesian optimal estimation to
estimate a set of atmospheric, surface, and instrument parameters from
the measured spectral radiances, referred to as the state vector. The
state vector of our retrieval consists of 20-level profiles for
<inline-formula><mml:math 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 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> volume mixing ratios (vmr), profile
scaling factors for <inline-formula><mml:math 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> vmr, and temperature, surface albedo, and
spectral dispersion.</p>
      <p>Rather than perform the “full physics” retrieval as typically used
for <inline-formula><mml:math 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> <xref ref-type="bibr" rid="bib1.bibx12 bib1.bibx5" id="paren.15"/>, an alternative
approach is possible for <inline-formula><mml:math 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>, the so-called “proxy”
method. First used for the retrieval of <inline-formula><mml:math 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> from SCIAMACHY
<xref ref-type="bibr" rid="bib1.bibx19" id="paren.16"/>, this approach uses the fact that there
exists <inline-formula><mml:math 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 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> spectral signatures located close
together at around 1.6 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and hence the majority of
atmospheric scattering and instrument effects will be similar between
the two bands. The ratio of the retrieved <inline-formula><mml:math display="inline"><mml:mrow><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:mspace linebreak="nobreak" width="0.25em"/><mml:mo>/</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><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:mrow></mml:math></inline-formula>
should cancel modifications to the length of the light path that are
experienced due to scattering <xref ref-type="bibr" rid="bib1.bibx8" id="paren.17"/>, with the <inline-formula><mml:math 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>
effectively acting as a “proxy” for the unknown light-path
enhancements. As <inline-formula><mml:math 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> is known to vary much less than
<inline-formula><mml:math 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>, the final <inline-formula><mml:math 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> product can be obtained by
multiplying this <inline-formula><mml:math display="inline"><mml:mrow><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:mspace width="0.25em" linebreak="nobreak"/><mml:mo>/</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><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:mrow></mml:math></inline-formula> ratio by a model
<inline-formula><mml:math 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> value, typically taken from a global chemistry transport
model (Eq. <xref ref-type="disp-formula" rid="Ch1.E1"/>).<?xmltex \hack{\newpage}?>

              <disp-formula id="Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mtext>Proxy</mml:mtext><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:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mo>[</mml:mo><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:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mo>[</mml:mo><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:mo>]</mml:mo></mml:mrow></mml:mfrac><mml:mo>×</mml:mo><mml:msub><mml:mtext>Model</mml:mtext><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:msub></mml:mrow></mml:math></disp-formula>

        The “proxy” retrieval approach has various advantages over the full
physics approach <xref ref-type="bibr" rid="bib1.bibx43" id="paren.18"/>. Because there is no reliance
on an explicit a priori knowledge of the aerosol distribution, the
proxy approach is more robust in the presence of aerosols and also far
less sensitive to instrumental issues or inconsistent radiometric
calibration between the spectral bands than is the case for the full
physics approach. Additionally, as moderate scattering from aerosols
will be cancelled out and still result in an accurate retrieval of
<inline-formula><mml:math 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>, the number of successful soundings for the proxy
approach is typically much higher than for the full physics approach
which requires far stricter post-filtering. This leads not only to
more soundings in general but also to more soundings over regions where
very little full physics data may be available, such as in the
tropics.</p>
      <p>The main disadvantage with the proxy approach is that it is reliant on
an accurate, unbiased model <inline-formula><mml:math 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 set to convert the
<inline-formula><mml:math display="inline"><mml:mrow><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:mspace width="0.25em" linebreak="nobreak"/><mml:mo>/</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><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:mrow></mml:math></inline-formula> ratio back into an <inline-formula><mml:math 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> quantity;
otherwise errors relating to the model <inline-formula><mml:math 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> may be folded into
the final <inline-formula><mml:math 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> result. Here we present assessments of the
different uncertainties to determine the importance of this aspect of
the Proxy <inline-formula><mml:math 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> data.</p>
      <p>We process the latest versions of the GOSAT Level 1B files (version
161.160) acquired directly from the NIES Large Volume Data Server and
apply the recommended radiometric calibration and radiometric
degradation correction as per <xref ref-type="bibr" rid="bib1.bibx31" id="text.19"/>.</p>
      <p>For the spectroscopic inputs we use v4.2.0 of the OCO line lists with
<inline-formula><mml:math 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> taken from the Total Carbon Column Observing Network
(TCCON) line lists (version “20120409”). The
a priori pressure, temperature, and water vapour is taken from the
ECMWF ERA-Interim data <xref ref-type="bibr" rid="bib1.bibx14" id="paren.20"/>. For the <inline-formula><mml:math 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> a priori
we use the MACC-II <inline-formula><mml:math 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> inversion (v13r1) and for the
<inline-formula><mml:math 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> we use the MACC-II <inline-formula><mml:math 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> inversion (v10-S1NOAA,
using 2012 data for 2013) but here we adjust the stratospheric methane
using a specialised full chemistry run (run ID 563) of the TOMCAT
stratospheric chemistry model from the University of Leeds
<xref ref-type="bibr" rid="bib1.bibx10" id="paren.21"/>. This TOMCAT model run has been validated against ACE-FTS observations and was found to provide a more accurate representation of the stratosphere.</p>
      <p>The spectral noise is estimated from the standard deviation of the
out-of-band signal. Spectra over ocean or with a signal-to-noise ratio (SNR)
below 50 are removed. Cloud-contaminated scenes are removed by the
comparison of a clear-sky surface pressure retrieval from the
<inline-formula><mml:math 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> A-band to the ECMWF surface pressure for the relevant
measurement time and location. A scene is determined to be cloudy when
the retrieved surface pressure differs by more than 30 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>
from the estimated ECMWF surface pressure. This relatively
loose threshold is allowed as the proxy retrieval approach
remains relatively robust in the presence of near-surface clouds. The average difference between our retrieved surface pressure
and ECMWF after filtering for cloud is approximately 3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>
with a standard deviation of below 10 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>, with the offset
from 0 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> being attributed to spectroscopic uncertainties in
the <inline-formula><mml:math 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> cross-sections. The Proxy <inline-formula><mml:math 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> retrieval is
performed for all scenes that are deemed to be sufficiently
cloud free.</p>
      <p>After filtering for signal-to-noise, cloud, and data quality we are
left with 1 032 760 <inline-formula><mml:math 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> retrievals over land between
April 2009 and December 2013. Figure <xref ref-type="fig" rid="Ch1.F1"/> shows
global maps of the Proxy <inline-formula><mml:math 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> for each season and compares it
to the MACC-II model <inline-formula><mml:math 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> data. Both model and observation
show the <inline-formula><mml:math 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> variability in time and space, in particular
with the large emissions of methane from wetland and rice cultivation
over India and S.E. Asia.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>Seasonal global maps of the University of Leicester GOSAT
Proxy <inline-formula><mml:math 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> (top) and the MACC-II (bottom) model <inline-formula><mml:math 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>
data (v10-S1NOAA). Both model and observation show the <inline-formula><mml:math 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>
variability in time and space, in particular with the large
emissions of methane from wetland and rice cultivation over India
and S.E. Asia. Note that GOSAT changed their pointing pattern in August 2010 from five across-track points to three across-track points, resulting in a change in spatial coverage.</p></caption>
        <?xmltex \igopts{width=469.470472pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/4785/2015/amt-8-4785-2015-f01.jpg"/>

      </fig>

</sec>
<sec id="Ch1.S3">
  <?xmltex \opttitle{Validation of the Proxy {$\chem{XCH_{4}}$} and
${\chem{XCH_{4}}}/{\chem{XCO_{2}}}$ ratio}?><title>Validation of the Proxy <inline-formula><mml:math 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> and
<inline-formula><mml:math display="inline"><mml:mrow><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:mo>/</mml:mo><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:mrow></mml:math></inline-formula> ratio</title>
      <p>This section presents the validation of the University of Leicester
GOSAT Proxy <inline-formula><mml:math 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> v5.0 data through comparison to observations
from the ground-based TCCON. In addition, for the first time the
<inline-formula><mml:math display="inline"><mml:mrow><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:mspace width="0.25em" linebreak="nobreak"/><mml:mo>/</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><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:mrow></mml:math></inline-formula> ratio itself, the core component of the
Proxy <inline-formula><mml:math 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> data, is validated against the corresponding TCCON
data.</p>
      <p>TCCON is a global network of ground-based high-resolution Fourier
transform spectrometers recording direct solar spectra in the
near-infrared spectral region <xref ref-type="bibr" rid="bib1.bibx52" id="paren.22"/>. The TCCON data are
calibrated to World Meteorological Organization (WMO) standards by
calibration against aircraft measurements <xref ref-type="bibr" rid="bib1.bibx51" id="paren.23"/>. Although
it should be noted that this aircraft calibration does not measure the
whole column, the TCCON data are the standard against which current
satellite observations of greenhouse gases are validated
<xref ref-type="bibr" rid="bib1.bibx11 bib1.bibx53 bib1.bibx16" id="paren.24"/>.</p>
      <p>To date, all previous validation of satellite greenhouse gas
observations against TCCON has used TCCON data that were affected by
instrumental biases relating to a laser sampling error which resulted
in an <inline-formula><mml:math 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> error of approximately 0.26 % (1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppm</mml:mi></mml:math></inline-formula>)
<xref ref-type="bibr" rid="bib1.bibx32" id="paren.25"/>. Although the corresponding <inline-formula><mml:math 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>
error was not quantified, it is expected that it would be of similar
magnitude (i.e. 1 part in 400). The latest, recently released, version
of the TCCON data (GGG2014) incorporates a correction for the laser
sampling errors and any remaining bias is expected to be small.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p>GGG2014 TCCON <inline-formula><mml:math 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>
data and the Proxy <inline-formula><mml:math 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> plotted as time series for each TCCON site.
The mean GOSAT<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>TCCON difference, the standard deviation of the GOSAT<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>TCCON
difference, the correlation coefficient, and the number of soundings are all provided for each site.</p></caption>
        <?xmltex \igopts{width=\textwidth}?><graphic xlink:href="https://amt.copernicus.org/articles/8/4785/2015/amt-8-4785-2015-f02.png"/>

      </fig>

      <p>Figure <xref ref-type="fig" rid="Ch1.F2"/> shows the GGG2014 TCCON <inline-formula><mml:math 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>
data and the Proxy <inline-formula><mml:math 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> plotted as time series for each TCCON site.
The mean GOSAT<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>TCCON difference, the standard deviation of the GOSAT<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>TCCON
difference, the correlation coefficient, and the number of soundings are all provided for each site.
<?xmltex \hack{\newpage}?></p>
      <p>Figure <xref ref-type="fig" rid="Ch1.F3"/> (top) shows the correlation between
the GGG2014 TCCON <inline-formula><mml:math 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> data and the Proxy <inline-formula><mml:math 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> values
within <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> of each TCCON site and a temporal coincidence
of <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2 h. It should also be noted that for all TCCON comparisons,
the difference inherent in the data due to using different a priori
has been compensated for (as discussed in <xref ref-type="bibr" rid="bib1.bibx42" id="text.26"/>, by
replacing the a priori used in the GOSAT retrievals with the TCCON
a priori after the retrieval has been performed) which typically
increases the GOSAT <inline-formula><mml:math 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> data by an average of between
0 and 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula> with the larger effect seen at more northernly TCCON
stations. We use all TCCON sites where version GGG2014 has been
processed at the time of writing that contain data during the GOSAT
time period (2009–2014). This results in 11 TCCON stations ranging
from Sodankylä, Finland, at 67.4<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N to Lauder, New Zealand,
at 45.0<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S. The correlation between the GOSAT and TCCON data
is reasonable/good across all sites, ranging from 0.54 at Karlsruhe to 0.79 at
Lauder with an overall correlation coefficient of 0.87 between 22 619
points. The overall bias is found to be 4.8 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula> with an
overall single measurement precision of 13.4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula> (ranging from
8.3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula> at Darwin to 14.9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula> at Garmisch). The
station-to-station bias, which is an indication of the relative
accuracy, is calculated as the standard deviation of the individual
site biases and is found to be just 4.2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>.</p>
      <p>In addition to the validation of the Proxy <inline-formula><mml:math 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> data, we also
present for the first time the validation of the
<inline-formula><mml:math display="inline"><mml:mrow><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:mspace linebreak="nobreak" width="0.25em"/><mml:mo>/</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><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:mrow></mml:math></inline-formula> ratio. This ratio is the quantity directly
retrieved from the satellite measurement, is independent of any model
<inline-formula><mml:math 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 has recently itself been used directly within a flux
inversion study <xref ref-type="bibr" rid="bib1.bibx22" id="paren.27"/>. The correlation coefficient
across all stations is found to be 0.88 (ranging from 0.6 at
Wollongong to 0.88 at Sodankylä) with a mean bias of
0.014 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">ppb</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ppm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and a single-sounding precision of
0.033 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">ppb</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ppm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (ranging from 0.20 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">ppb</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ppm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
at Darwin to 0.037 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">ppb</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ppm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at Garmisch). The statistics
for the <inline-formula><mml:math display="inline"><mml:mrow><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:mspace width="0.25em" linebreak="nobreak"/><mml:mo>/</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><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:mrow></mml:math></inline-formula> ratio are therefore comparable to
those of the Proxy <inline-formula><mml:math 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> itself, suggesting that the majority
of the variation is from the satellite retrieval itself and not
introduced by the model <inline-formula><mml:math 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 next section investigates
this aspect in more detail.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p>Correlation plot of the Proxy <inline-formula><mml:math 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> (top) and the
<inline-formula><mml:math display="inline"><mml:mrow><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:mo>/</mml:mo><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:mrow></mml:math></inline-formula> ratio (bottom) data against TCCON
ground-based FTS data at 11 TCCON sites. The overall bias, standard
deviation (single-sounding precision), correlation coefficient, and
total number of soundings are provided. Note that the Lauder TCCON
station upgraded the instrument from a Bruker 120 to a Bruker 125 in
February 2010 and these two data sets are displayed separately.</p></caption>
        <?xmltex \igopts{height=284.527559pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/4785/2015/amt-8-4785-2015-f03.png"/>

      </fig>

</sec>
<sec id="Ch1.S4">
  <?xmltex \opttitle{Assessing the {$\chem{CO_{2}}$} model ensemble component}?><title>Assessing the <inline-formula><mml:math 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> model ensemble component</title>
      <p>In Sect. <xref ref-type="sec" rid="Ch1.S3"/> the final Proxy <inline-formula><mml:math 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> and the
<inline-formula><mml:math display="inline"><mml:mrow><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:mspace linebreak="nobreak" width="0.25em"/><mml:mo>/</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><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:mrow></mml:math></inline-formula> component were both validated against the
TCCON data. In this section we validate the remaining component of the
proxy product from Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>), namely the model
<inline-formula><mml:math 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>.</p>
      <p>As discussed in Sect. <xref ref-type="sec" rid="Ch1.S2"/>, this update to the
University of Leicester GOSAT Proxy <inline-formula><mml:math 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> data uses an ensemble
of model <inline-formula><mml:math 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 to act as the model <inline-formula><mml:math 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>
component. We utilise the <inline-formula><mml:math 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 three state-of-the-art
global transport models which all assimilate surface in situ
measurements; GEOS-Chem <xref ref-type="bibr" rid="bib1.bibx18" id="paren.28"><named-content content-type="pre">University of Edinburgh –
</named-content><named-content content-type="post">v1.50</named-content></xref>, MACC-II (<xref ref-type="bibr" rid="bib1.bibx9" id="altparen.29"/>, v14r1) and
CarbonTracker <xref ref-type="bibr" rid="bib1.bibx39" id="paren.30"><named-content content-type="pre">NOAA –</named-content><named-content content-type="post">vCT2013B</named-content></xref>. These model runs
have assimilated similar surface measurements but not necessarily from
all of the same data sets or the same locations. The models also have
different spatial resolutions and different temporal coverage
(GEOS-Chem: 2009–2011, 5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 4<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>; CarbonTracker: 2009–2012, 3<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>; MACC-II: 2009–2012, 3.75<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.89<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>).
Where the model does not cover the full GOSAT time period studied here,
the data from the previous year are used and adjusted by the NOAA annual growth rate.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p>Correlation plot of the model <inline-formula><mml:math 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 for
GEOS-Chem, MACC-II, CarbonTracker, and the ensemble median against
TCCON ground-based FTS data at 11 TCCON sites. The overall bias,
standard deviation (single-measurement precision), correlation
coefficient, and total number of soundings are provided separately.</p></caption>
        <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/4785/2015/amt-8-4785-2015-f04.png"/>

      </fig>

      <p>The main concern with using modelled <inline-formula><mml:math 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 for the proxy
method is that the additional uncertainty added to the final proxy
data product is difficult to determine. Where the model <inline-formula><mml:math 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 constrained by surface data there can be a high degree of
confidence that the model data are close to representing the true value of
<inline-formula><mml:math 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>; however, it is away from such regions where there is
a possibility of adding additional biases into the Proxy <inline-formula><mml:math 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>
data. The TCCON stations are mostly in regions that are also
well constrained by surface in situ measurements and hence the model
<inline-formula><mml:math 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 should be well constrained, at least at the surface
level, and it is therefore expected to reasonably reproduce the TCCON
column data. Figure <xref ref-type="fig" rid="Ch1.F4"/> confirms that this
is the case. As the model <inline-formula><mml:math 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 used as a component in the
proxy retrievals, the models are treated as “pseudo-measurements” and validated in the same
way as the satellite data in order to maintain consistency with the satellite validation.  The model <inline-formula><mml:math 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 sampled at each GOSAT
measurement point within <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> of each TCCON station are found to
agree well with the TCCON data, with the correlation coefficients ranging
from 0.94 (GEOS-Chem) to 0.97 (MACC-II and CarbonTracker). Similarly the
precision and bias to TCCON are both found to be small (ranging from 0.97 to
1.3 and 0.07 to 0.27 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppm</mml:mi></mml:math></inline-formula> respectively). The relative accuracies (the
standard deviation of the individual site biases) are similar at around
0.5 ppm, with CarbonTracker and GEOS-Chem performing slightly better than
MACC-II. Another metric to assess the models is how often they provide the
median value of the ensemble. CarbonTracker (41 %) and MACC-II (36 %)
tend to provide the median value more often than GEOS-Chem (22 %) but this
can vary per site with the contribution from MACC-II as low as 27 % at
Darwin (and CarbonTracker at 60 %) and conversely as high as 44 % at
Wollongong (with CarbonTracker only 21 %). This provides further indication
that no one model can be determined to be the “best”.</p>
      <p>For a more detailed analysis of the performance of the different <inline-formula><mml:math 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>
models please see Table <xref ref-type="table" rid="App1.Ch1.T1"/> in Appendix A. In short,
none of the models are found to consistently be superior over the other
models. GEOS-Chem typically has the highest scatter against TCCON but also
has the smallest bias at 5 out of 12 of the sites. MACC-II has the smallest
bias at seven sites but the highest bias at four of the sites. CarbonTracker has the
highest bias at seven of the sites but also has the smallest scatter at eight of the
sites. Whilst the absolute bias in the calculated median <inline-formula><mml:math 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
typically not quite as small as the best of the individual models, the
scatter in the median is better than (or the same as) the best scatter from
any of the individual models at every site except Lauder_120 (where the
time series is the shortest) and even there it is only worse than the best
model by less than 0.1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppm</mml:mi></mml:math></inline-formula>.</p>
      <p>The above has demonstrated that it is not a simple decision to
determine which model most accurately represents the true atmosphere,
even in locations where all of the models have been constrained by
(often the same) surface measurements and high-quality validation data
are available. In more remote regions where we neither have validation
data nor surface measurements to constrain the models, this
inconsistency between the models becomes more pronounced. It is this
uncertainty in model <inline-formula><mml:math 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 regions away from the available
validation data that we attempt to address through the use of the
<inline-formula><mml:math 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> model ensemble. Each of the three <inline-formula><mml:math 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> models are
sampled at every GOSAT time and location and convolved with the
scene-specific GOSAT averaging kernels. The median value of the three
model values is used as the model <inline-formula><mml:math 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 calculating the
final Proxy <inline-formula><mml:math 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>. However, we also define the uncertainty on
this median <inline-formula><mml:math 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> as the maximum of the absolute differences of
each individual model to the median value.</p>
      <p>We have already demonstrated that the models all well reproduce the
validation data at TCCON sites without any one model identified as
being better than the others from our comparisons. Where the models
all agree well with each other away from the validation sites, the
assumption is that the models are accurately representing the true
atmosphere. Where the models disagree with each other, we do not know
which model is correct in the absence of further validation data and
in some cases the discrepancy between models can be very large
(i.e. <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppm</mml:mi></mml:math></inline-formula>). In such cases where no validation is
possible, the best estimate of the uncertainty in the model
<inline-formula><mml:math 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 is obtained by examining the difference of the model
data around the median value. Figure <xref ref-type="fig" rid="Ch1.F5"/>
shows global maps of this estimated model uncertainty for each
season. There are clear spatial/temporal patterns in the distribution
of this model uncertainty. During March–May (boreal “spring”),
there is a large uncertainty (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppm</mml:mi></mml:math></inline-formula>) over India and the
African regions typically associated with biomass burning. There is
also a moderate level of uncertainty (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppm</mml:mi></mml:math></inline-formula>) over Europe,
South America, and for the latter years over North America and
Australia. For the summer months (June–August) it is the Eurasian
region, extending from the Ural mountains eastwards through Siberia
and northern China, where the model uncertainty is largest at over
2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppm</mml:mi></mml:math></inline-formula>. This is to be expected as in the Northern Hemisphere it
is the period of greatest photosynthetic activity and the model
sensitivity to the underlying mechanisms is likely to be
largest. During boreal autumn (September–November), the uncertainty
in the Northern Hemisphere is vastly reduced again, with India being
the major region of uncertainty along with South America and regions
of biomass burning in Africa. Winter is similar to autumn, with all
three models in very good agreement with each other in the Northern
Hemisphere, with only S.E. Asia showing a moderate level of
uncertainty. In the Southern Hemisphere, again South America and
southern Africa show moderate uncertainty which appears to be linked
to emissions from biomass burning.</p>
      <p>This section has shown that the estimated uncertainty of the model
<inline-formula><mml:math 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 vary greatly in time and space. When considering the
implication of this uncertainty on flux inversions of the Proxy
<inline-formula><mml:math 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> data, the relative importance of the different
uncertainties must be considered. The following section investigates
the distribution of the model <inline-formula><mml:math 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> uncertainty and judges its
relative importance against the a posteriori error from the retrieval
itself. Finally, both of these uncertainties are assessed against the
difference to modelled <inline-formula><mml:math 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> already constrained by surface
observations to determine the utility of the satellite data despite
the presence of these uncertainties.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>Seasonal maps of the model difference, defined as the maximum
absolute difference of the three-model ensemble from the median. All
individual soundings have been averaged into
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">2</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">2</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> grid boxes over each season. The
largest uncertainties occur in regions where the <inline-formula><mml:math 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>
variability is expected to be highest and the models are
unconstrained by surface measurements.</p></caption>
        <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/4785/2015/amt-8-4785-2015-f05.png"/>

      </fig>

</sec>
<sec id="Ch1.S5">
  <title>Assessing the relative uncertainties</title>
      <p>In order to assess the importance of the uncertainty of the model
<inline-formula><mml:math 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 bin the three model fields into <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">4</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">5</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>
grid boxes over 8-day time steps and calculate the maximum difference of the
three-model ensemble from the median value to use as an estimate of the
uncertainty in the model values. We convert this uncertainty in model
<inline-formula><mml:math 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> into an uncertainty in <inline-formula><mml:math 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> by multiplying each point by
its respective retrieved <inline-formula><mml:math display="inline"><mml:mrow><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:mspace width="0.25em" linebreak="nobreak"/><mml:mo>/</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><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:mrow></mml:math></inline-formula> amount. We also
calculate the average a posteriori error for the same data. Unlike the more
systematic <inline-formula><mml:math 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> model uncertainty, the a posteriori error should be
close to random and hence reduce approximately with the square root of the
number of soundings being averaged. If the error does not reduce as much, the
model <inline-formula><mml:math 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> component would then contribute even less to the total,
leading to this assumption being a “worst case” scenario for the effect of
the model <inline-formula><mml:math 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> uncertainty. These <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">4</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">5</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> grid
boxes are then themselves averaged over the Transcom regions
<xref ref-type="bibr" rid="bib1.bibx25" id="paren.31"/> as defined in Fig. <xref ref-type="fig" rid="Ch1.F6"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>The Transcom regions over which the
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">4</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">5</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> gridded data are then averaged in
Fig. <xref ref-type="fig" rid="Ch1.F7"/>.</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/4785/2015/amt-8-4785-2015-f06.png"/>

      </fig>

      <p><?xmltex \hack{\newpage}?>In Fig. <xref ref-type="fig" rid="Ch1.F7"/>, the red line shows the mean of the Proxy <inline-formula><mml:math 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>
random (a posteriori) error from each <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">4</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">5</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> box
averaged over each Transcom region with the green line representing
the estimated uncertainty related to the model <inline-formula><mml:math 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
majority of regions exhibit a similar trend over time. The
a posteriori error peaks in the winter months when the SNR of the measurement is at its lowest and is at a minimum
during the summer months when the SNR is at a maximum. This seasonal
effect is more pronounced at higher latitudes which experience
a greater degree of variability of sunlight throughout the
year. Conversely, the <inline-formula><mml:math 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> model uncertainty follows
biospheric activity with the uncertainty largest during the summer
months when the <inline-formula><mml:math 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 is at a maximum and reduces
to a minimum in the winter months when biospheric activity is
lower. This leads to the situation where the a posteriori error
dominates the model uncertainty in winter months but during summer
months the model uncertainty can be comparable to, or even exceed, the
a posteriori error. Taking the North America Temperate region as an
example, during winter the a posteriori error can reach up to
8 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula> with the error from the model <inline-formula><mml:math 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> significantly
lower with values less than 2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>. In contrast, during the
summer months, the a posteriori error reduces to around 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>
but the error for the model <inline-formula><mml:math 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> increases to 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>,
meaning that both become significant components of the overall
uncertainty.</p>
      <p>We have shown that the uncertainty related to the <inline-formula><mml:math 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> model
can, particularly in the Northern Hemisphere during summer months, be
of comparable magnitude to the a posteriori retrieval error. However,
that in itself does not preclude the data from adding useful
information to a <inline-formula><mml:math 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> flux inversion.</p>
      <p>The MACC-II model <inline-formula><mml:math 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> (v10-S1NOAA) data have assimilated NOAA
surface measurements at background sites and hence are well
constrained in the remote atmosphere <xref ref-type="bibr" rid="bib1.bibx4" id="paren.32"/>. Here we
calculate the difference between the MACC <inline-formula><mml:math 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> model field and
the GOSAT Proxy <inline-formula><mml:math 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> data for each GOSAT measurement (referred
to from here as <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula><inline-formula><mml:math 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>). We then aggregate these differences in the
same way as the model <inline-formula><mml:math 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> uncertainties. Note that the MACC <inline-formula><mml:math 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> model data are currently only available until the end of 2012. As some inversion
systems will perform a simple (e.g. latitudinal) bias correction, the
calculated retrieval a posteriori and model <inline-formula><mml:math 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> uncertainties
can potentially be much lower than the <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula><inline-formula><mml:math 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> value
but still not provide information to the inversion. For this reason,
it is also important to consider both the mean
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) and the standard deviation
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) of the <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula><inline-formula><mml:math 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>. To
determine whether the GOSAT data are capable of providing information
to the inversion, we compare the a posteriori and model <inline-formula><mml:math 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>
uncertainties to the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi></mml:msub><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:mrow></mml:math></inline-formula> values as shown in
Fig. <xref ref-type="fig" rid="Ch1.F7"/>, with the seasonal averages for all of these
values presented in Table <xref ref-type="table" rid="App1.Ch1.T2"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p>Time series for each Transcom region showing the a posteriori
retrieval error (red), the estimated uncertainty from the model
<inline-formula><mml:math 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> (green), and the mean (navy) and standard deviation
(purple) of the difference between the GOSAT and MACC-II
<inline-formula><mml:math 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>. The a posteriori error is assumed to be a random error and
hence reduces with the square root of the number of measurements
whilst the <inline-formula><mml:math 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> model uncertainty is expected to be
a systematic error and hence does not reduce.</p></caption>
        <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/4785/2015/amt-8-4785-2015-f07.png"/>

      </fig>

      <p>It should be noted here that the absolute values are not necessarily
quantitatively comparable when taking into account how an inversion
system will use the two different quantities. The a posteriori error
of the retrieved <inline-formula><mml:math 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> is an indication of the weighting that
the inversion will give to an observation over the a priori, with
a smaller value indicating that the inversion will “trust” the
observation more. The <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula><inline-formula><mml:math 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> is an indication of how
much the inversion needs to adjust the fluxes in order to match the
observation. However, if the estimated uncertainties are significantly
less than the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values it is expected that the
observations should provide value to the inversion. It should also be
noted that this bias term (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) may also
reflect systematic biases in the <inline-formula><mml:math 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> model due to, for
example, errors in the vertical model profile whilst the sigma term
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) may also relate to subgrid-scale
variations which are unresolved at the model resolution.</p>
      <p>For the North American Boreal region, both the
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
values are very similar in terms of phase and magnitude to the
a posteriori uncertainty with the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
ranging from an average of 9.6 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula> in summer to
14.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula> in winter compared to the a posteriori uncertainty
that ranges from 6.6 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula> in summer to 10.8 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula> in
winter. This suggests that regardless of the contribution to the
uncertainty from the <inline-formula><mml:math 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> model, it would be difficult for the
satellite data to inform the inversion any further than the in situ
data already do. However, this is not the case for the North
American Temperate  region where the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
(7.4–11.6 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>) and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
(8.4–10.0 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>) are far larger than the total uncertainty
(6.0–6.9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>) for much of the year. Both South American
regions exhibit more complicated behaviour with far less of an
apparent seasonality in the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula>. Instead,
for most years <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is much higher than the
uncertainties (which themselves do not exhibit much seasonality in
these regions). However, the year 2010 seems to be an anomalous year
where the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> data are much more in
agreement and in this year the difference is of comparable magnitude
to the uncertainties with values between 4 and 8 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>. The
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> does exhibit more seasonality than
the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and is again considerably higher
than the estimated uncertainties (7–20 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>
vs. 5–6 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>). In combination, this suggests that the GOSAT
observations over South America should add considerable information to
the inversion.</p>
      <p>For Northern Africa, both the a posteriori error and the uncertainty
related to the <inline-formula><mml:math 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> model are small due to the high SNR over
the Sahara and the low <inline-formula><mml:math 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> variability respectively (with
seasonal average values ranging from 3.3 to 3.6 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula> for the
a posteriori error and from 2.8 to 4.6 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula> for the model <inline-formula><mml:math 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>
error). In contrast, the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
(7.2–12.3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>) and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
(4.9–8.4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>) values over this region are relatively large
with a high degree of temporal variability, suggesting that the
satellite data should add considerable value in constraining the
inversion over this region. One complication is that GOSAT operates in
a “medium gain” mode over the desert and hence may exhibit different
instrumental biases over such regions but, due to the proxy method, any
such differences in instrumental biases that relate to
light-path modification should be minimised. Southern
Africa shows similar behaviour with the total uncertainty being low
(seasonal averages of 5.1–7.3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>) compared to the much
larger <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (12.6–19.8 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>) and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (5.7–10.7 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>) values, again
indicating that considerable value is present in the satellite data.</p>
      <p>The Eurasian Boreal region behaves similarly to the North American
Boreal region. The <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is of similar phase and magnitude to
the retrieval a posteriori error, suggesting little information will
be added to any inversion over this region beyond what is available
from the in situ measurements. In contrast, the
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values over the Eurasian Temperate
region show a large variability with the differences in winter months
much larger than the total uncertainty (9.9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>
vs. 5.8 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>), while in summer months the magnitudes become
much more similar (5.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>
vs. 7.3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>). Interestingly, the
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values appear to be of similar
magnitude (5–20 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>) but directly out of phase with the
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values. Even during summer months when
the a posteriori (4.3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>) and model <inline-formula><mml:math 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>
(5.8 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>) uncertainties are comparable to the
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (5.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>), the high variability
in the <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula><inline-formula><mml:math 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> values, as indicated by
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values of up to 20 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula> (and
a summertime mean value of 15.0 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>), suggests that the
observations are capable of providing useful information to the
inversion.</p>
      <p>The Tropical Asian region, which encompasses parts of India, China, and
Indonesia, typically has low values for both the a posteriori
(5.6–6.9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>) and <inline-formula><mml:math 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> model (4.4–6.0 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>)
uncertainties, with neither exhibiting much seasonal
variability. The <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values however are much more variable
(8.9–11.7  and 9.0–16.8 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>) and generally much
higher than the uncertainties, suggesting that useful information from
the satellite data is present.</p>
      <p>The European Transcom region has uncertainties in the satellite data
(seasonal averages of 7.6–10.0 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>) that are of comparable
magnitude to the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values
(8.1–10.7 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>), especially when considering the combination
of the a posteriori and model <inline-formula><mml:math 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> uncertainties. However, the
standard deviation of the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values is
highly variable (8.7–13.2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>) which suggests that there is
scope for the observational data to aid in constraining the European
<inline-formula><mml:math 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> fluxes.</p>
      <p>Finally, the Australian Transcom region shows very small uncertainties
in the satellite data. The uncertainty associated with the model
<inline-formula><mml:math 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 comparable to the a posteriori error during the
Australian spring months but even in those circumstances, the
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values are far larger (11.4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>
vs. 4.7 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>), demonstrating that the satellite data are
capable of providing some information to the inversion over Australia,
although this may be limited in its ability to provide specific
information on Australian sources as the
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values over this region are similar to
the estimated uncertainties with seasonal averages of
4.5–5.2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula> compared to the total uncertainty values of
4.1–5.0 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <title>Summary and conclusions</title>
      <p>We present details of the update to the University of Leicester GOSAT
Proxy <inline-formula><mml:math 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> v5.0 data set with 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">years</mml:mi></mml:math></inline-formula> of GOSAT data now
processed. The data are validated against the latest ground-based
TCCON data and found to agree well with on average a small bias of
4.8 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>0.27</mml:mn></mml:mrow></mml:math></inline-formula> %), a single-sounding precision of
13.4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>0.74</mml:mn></mml:mrow></mml:math></inline-formula> %), and a relative accuracy of
4.2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppb</mml:mi></mml:math></inline-formula>. For the first time the <inline-formula><mml:math display="inline"><mml:mrow><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:mspace linebreak="nobreak" width="0.25em"/><mml:mo>/</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><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:mrow></mml:math></inline-formula>
ratio component of the proxy retrieval is validated and also found to
agree well with TCCON with a bias of 0.014 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">ppb</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ppm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>0.3</mml:mn></mml:mrow></mml:math></inline-formula> %) and a single-sounding precision of
0.033 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">ppb</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ppm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>0.72</mml:mn></mml:mrow></mml:math></inline-formula> %).</p>
      <p>A major unknown uncertainty in previous Proxy <inline-formula><mml:math 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> products
was the uncertainty associated with the model <inline-formula><mml:math 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 this
work we validate three separate state-of-the-art chemistry transport
models against the TCCON data and find that although the models can
differ greatly (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppm</mml:mi></mml:math></inline-formula>) away from the TCCON stations, at
the validation locations it is difficult to distinguish which model
performs better from our comparisons. We therefore decide to use the
median of the three models to act as the model <inline-formula><mml:math 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
calculation of the Proxy <inline-formula><mml:math 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> and use the maximum difference
to the median as a measure of the uncertainty in the model
<inline-formula><mml:math 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>. This model uncertainty is found to vary greatly in time
and space but is typically largest over regions associated with
biomass burning such as central Africa and in particular over the
Eurasian regions during summer months where large uptake in <inline-formula><mml:math 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> leads to large differences between the models.</p>
      <p>In order to assess the relative importance of these uncertainties, we
compare this model <inline-formula><mml:math 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> uncertainty to the a posteriori
retrieval error over the different Transcom regions and find typically
that where there is seasonality in the uncertainties, it is typically
directly out of phase between the two, resulting in the model
<inline-formula><mml:math 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> uncertainty becoming significant during summer months
where the a posteriori error is at its lowest. This relates to the
fact that more sunlight leads to a reduction in the a posteriori
uncertainty (by virtue of providing a greater signal in the SWIR) and
at the same time is associated with an increase in photosynthesis and,
hence, more potential for differences in the model <inline-formula><mml:math 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>.</p>
      <p>We assess the significance of these uncertainties on any flux
inversion by comparing the mean and standard deviation of the
GOSAT<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>MACC differences (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) to the estimated uncertainties. We
find that for the majority of regions the mean and standard deviation
of the <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula><inline-formula><mml:math 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> values are much larger than the estimated
uncertainties, even taking into <?xmltex \hack{\vadjust{\newpage}}?>account the uncertainty related to the
model <inline-formula><mml:math 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 findings show that useful information will be
provided to the inversions for the majority of regions, with the
exceptions being the boreal regions (North American Boreal and
Eurasian Boreal) where the uncertainty is of a similar magnitude to
the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
values. It is important to note that the MACC data are already
constrained by NOAA background sites.</p>
      <p>One final consideration for users of the Proxy <inline-formula><mml:math 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> data who
are performing atmospheric inversions is that, should they have their
own <inline-formula><mml:math 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> model which they believe is consistent with their
<inline-formula><mml:math 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> model, it may be beneficial to only take the GOSAT
<inline-formula><mml:math display="inline"><mml:mrow><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:mspace linebreak="nobreak" width="0.25em"/><mml:mo>/</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><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:mrow></mml:math></inline-formula> ratio and apply their own model
<inline-formula><mml:math 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 appropriate averaging kernels) in order to minimise
transport model errors between the different models. Alternatively the
<inline-formula><mml:math display="inline"><mml:mrow><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:mspace linebreak="nobreak" width="0.25em"/><mml:mo>/</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><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:mrow></mml:math></inline-formula> ratio can also be inverted directly as
shown in <xref ref-type="bibr" rid="bib1.bibx22" id="text.33"/> and <xref ref-type="bibr" rid="bib1.bibx37" id="text.34"/>.</p><?xmltex \hack{\clearpage}?>
</sec>

      
      </body>
    <back><app-group>

<app id="App1.Ch1.S1">
  <title>Data sets</title>
      <p>The GOSAT Proxy <inline-formula><mml:math 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> data used in this publication are freely
available from
<uri>http://www.leos.le.ac.uk/GHG/ghg_cci/CRDP/data_2/ESACCI/GHG/GOSAT/CH4_GOS_OCPR/5.1/</uri>
upon request of a password. An updated version of this data set is now
available (version 6.0) covering 2009–2014. Additionally, these data now
contain both the raw <inline-formula><mml:math 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> and <inline-formula><mml:math 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 as well as the
uncertainty associated with the model <inline-formula><mml:math 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>.</p>

<?xmltex \floatpos{t}?><table-wrap id="App1.Ch1.T1" specific-use="star"><caption><p>Table showing the comparison statistics between each
<inline-formula><mml:math 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> model (sampled as per the GOSAT measurements) within
<inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> of each TCCON site against the TCCON validation
data. The difference (model<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>TCCON), the standard deviation of the
difference, and the correlation coefficient are all provided as is
the total number of measurements for each site, <inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>, and the percentage
“share”
of the median for each model, %. For each of
the three models, GEOS-Chem, MACC-II, and CarbonTracker, the best
(bold) and worst (italic) value for each metric is
highlighted. For the ensemble median data, all values which are
better than the best individual model value are highlighted in
bold-italic. The lower panel provides overall statistics across all sites.
These include the relative accuracy (the standard deviation of the individual site biases),
the overall precision (the standard deviation of the GOSAT<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>TCCON
differences),
and the overall share that each model contributes to the median ensemble.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.7}[.7]?><oasis:tgroup cols="17">
     <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" colsep="1"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right" colsep="1"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:colspec colnum="13" colname="col13" align="right"/>
     <oasis:colspec colnum="14" colname="col14" align="right" colsep="1"/>
     <oasis:colspec colnum="15" colname="col15" align="right"/>
     <oasis:colspec colnum="16" colname="col16" align="right"/>
     <oasis:colspec colnum="17" colname="col17" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col17"><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">2</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">2</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Coincident criteria</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry namest="col3" nameend="col6" align="center" colsep="1">GEOS-Chem </oasis:entry>  
         <oasis:entry namest="col7" nameend="col10" align="center" colsep="1">MACC-II </oasis:entry>  
         <oasis:entry namest="col11" nameend="col14" align="center" colsep="1">CarbonTracker </oasis:entry>  
         <oasis:entry namest="col15" nameend="col17" align="center">Ensemble median </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">TCCON Site</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">Diff (ppm)</oasis:entry>  
         <oasis:entry colname="col4">SD (ppm)</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">%</oasis:entry>  
         <oasis:entry colname="col7">Diff (ppm)</oasis:entry>  
         <oasis:entry colname="col8">SD (ppm)</oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10">%</oasis:entry>  
         <oasis:entry colname="col11">Diff (ppm)</oasis:entry>  
         <oasis:entry colname="col12">SD (ppm)</oasis:entry>  
         <oasis:entry colname="col13"><inline-formula><mml:math display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col14">%</oasis:entry>  
         <oasis:entry colname="col15">Diff (ppm)</oasis:entry>  
         <oasis:entry colname="col16">SD (ppm)</oasis:entry>  
         <oasis:entry colname="col17"><inline-formula><mml:math display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Sodankylä</oasis:entry>  
         <oasis:entry colname="col2">584</oasis:entry>  
         <oasis:entry colname="col3">1.1</oasis:entry>  
         <oasis:entry colname="col4"><italic>1.1</italic></oasis:entry>  
         <oasis:entry colname="col5"><italic>0.97</italic></oasis:entry>  
         <oasis:entry colname="col6">20</oasis:entry>  
         <oasis:entry colname="col7"><bold>0.9</bold></oasis:entry>  
         <oasis:entry colname="col8"><bold>0.9</bold></oasis:entry>  
         <oasis:entry colname="col9">0.98</oasis:entry>  
         <oasis:entry colname="col10">37</oasis:entry>  
         <oasis:entry colname="col11"><italic>1.2</italic></oasis:entry>  
         <oasis:entry colname="col12"><bold>0.9</bold></oasis:entry>  
         <oasis:entry colname="col13"><bold>0.99</bold></oasis:entry>  
         <oasis:entry colname="col14">42</oasis:entry>  
         <oasis:entry colname="col15">1.1</oasis:entry>  
         <oasis:entry colname="col16"><bold><italic>0.8</italic></bold></oasis:entry>  
         <oasis:entry colname="col17"><bold><italic>0.99</italic></bold></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Bialystok</oasis:entry>  
         <oasis:entry colname="col2">1429</oasis:entry>  
         <oasis:entry colname="col3"><italic>0.6</italic></oasis:entry>  
         <oasis:entry colname="col4"><italic>1.5</italic></oasis:entry>  
         <oasis:entry colname="col5"><italic>0.95</italic></oasis:entry>  
         <oasis:entry colname="col6">25</oasis:entry>  
         <oasis:entry colname="col7"><bold>0.4</bold></oasis:entry>  
         <oasis:entry colname="col8">1.1</oasis:entry>  
         <oasis:entry colname="col9">0.97</oasis:entry>  
         <oasis:entry colname="col10">33</oasis:entry>  
         <oasis:entry colname="col11"><italic>0.6</italic></oasis:entry>  
         <oasis:entry colname="col12"><bold>1.0</bold></oasis:entry>  
         <oasis:entry colname="col13"><bold>0.98</bold></oasis:entry>  
         <oasis:entry colname="col14">44</oasis:entry>  
         <oasis:entry colname="col15">0.6</oasis:entry>  
         <oasis:entry colname="col16"><bold><italic>1.0</italic></bold></oasis:entry>  
         <oasis:entry colname="col17">0.97</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Karlsruhe</oasis:entry>  
         <oasis:entry colname="col2">1569</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>0.2</bold></oasis:entry>  
         <oasis:entry colname="col4"><italic>1.4</italic></oasis:entry>  
         <oasis:entry colname="col5"><italic>0.92</italic></oasis:entry>  
         <oasis:entry colname="col6">22</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>0.6</italic></oasis:entry>  
         <oasis:entry colname="col8"><bold>1.1</bold></oasis:entry>  
         <oasis:entry colname="col9"><bold>0.95</bold></oasis:entry>  
         <oasis:entry colname="col10">33</oasis:entry>  
         <oasis:entry colname="col11"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.4</oasis:entry>  
         <oasis:entry colname="col12"><bold>1.1</bold></oasis:entry>  
         <oasis:entry colname="col13"><bold>0.95</bold></oasis:entry>  
         <oasis:entry colname="col14">45</oasis:entry>  
         <oasis:entry colname="col15"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.4</oasis:entry>  
         <oasis:entry colname="col16"><bold><italic>1.1</italic></bold></oasis:entry>  
         <oasis:entry colname="col17"><bold><italic>0.95</italic></bold></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Orleans</oasis:entry>  
         <oasis:entry colname="col2">1650</oasis:entry>  
         <oasis:entry colname="col3"><bold>0.3</bold></oasis:entry>  
         <oasis:entry colname="col4"><italic>1.2</italic></oasis:entry>  
         <oasis:entry colname="col5"><italic>0.95</italic></oasis:entry>  
         <oasis:entry colname="col6">22</oasis:entry>  
         <oasis:entry colname="col7"><bold>0.3</bold></oasis:entry>  
         <oasis:entry colname="col8"><bold>0.9</bold></oasis:entry>  
         <oasis:entry colname="col9"><bold>0.98</bold></oasis:entry>  
         <oasis:entry colname="col10">33</oasis:entry>  
         <oasis:entry colname="col11"><italic>0.4</italic></oasis:entry>  
         <oasis:entry colname="col12"><bold>0.9</bold></oasis:entry>  
         <oasis:entry colname="col13">0.97</oasis:entry>  
         <oasis:entry colname="col14">46</oasis:entry>  
         <oasis:entry colname="col15"><bold><italic>0.3</italic></bold></oasis:entry>  
         <oasis:entry colname="col16"><bold><italic>0.8</italic></bold></oasis:entry>  
         <oasis:entry colname="col17"><bold><italic>0.98</italic></bold></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Garmisch</oasis:entry>  
         <oasis:entry colname="col2">1527</oasis:entry>  
         <oasis:entry colname="col3"><italic>0.8</italic></oasis:entry>  
         <oasis:entry colname="col4"><italic>1.3</italic></oasis:entry>  
         <oasis:entry colname="col5"><italic>0.93</italic></oasis:entry>  
         <oasis:entry colname="col6">22</oasis:entry>  
         <oasis:entry colname="col7"><bold>0.6</bold></oasis:entry>  
         <oasis:entry colname="col8"><italic>1.3</italic></oasis:entry>  
         <oasis:entry colname="col9">0.94</oasis:entry>  
         <oasis:entry colname="col10">34</oasis:entry>  
         <oasis:entry colname="col11"><italic>0.8</italic></oasis:entry>  
         <oasis:entry colname="col12"><bold>1.2</bold></oasis:entry>  
         <oasis:entry colname="col13"><bold>0.95</bold></oasis:entry>  
         <oasis:entry colname="col14">43</oasis:entry>  
         <oasis:entry colname="col15">0.7</oasis:entry>  
         <oasis:entry colname="col16"><bold><italic>1.1</italic></bold></oasis:entry>  
         <oasis:entry colname="col17"><bold><italic>0.95</italic></bold></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Park Falls</oasis:entry>  
         <oasis:entry colname="col2">2434</oasis:entry>  
         <oasis:entry colname="col3">0.4</oasis:entry>  
         <oasis:entry colname="col4"><italic>1.1</italic></oasis:entry>  
         <oasis:entry colname="col5"><italic>0.97</italic></oasis:entry>  
         <oasis:entry colname="col6">23</oasis:entry>  
         <oasis:entry colname="col7"><bold>0.1</bold></oasis:entry>  
         <oasis:entry colname="col8"><bold>1.0</bold></oasis:entry>  
         <oasis:entry colname="col9"><bold>0.98</bold></oasis:entry>  
         <oasis:entry colname="col10">38</oasis:entry>  
         <oasis:entry colname="col11"><italic>0.5</italic></oasis:entry>  
         <oasis:entry colname="col12"><bold>1.0</bold></oasis:entry>  
         <oasis:entry colname="col13"><bold>0.98</bold></oasis:entry>  
         <oasis:entry colname="col14">40</oasis:entry>  
         <oasis:entry colname="col15">0.3</oasis:entry>  
         <oasis:entry colname="col16"><bold><italic>0.9</italic></bold></oasis:entry>  
         <oasis:entry colname="col17"><bold><italic>0.98</italic></bold></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Lamont</oasis:entry>  
         <oasis:entry colname="col2">7464</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>0.2</italic></oasis:entry>  
         <oasis:entry colname="col4"><italic>1.6</italic></oasis:entry>  
         <oasis:entry colname="col5"><italic>0.92</italic></oasis:entry>  
         <oasis:entry colname="col6">20</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1</oasis:entry>  
         <oasis:entry colname="col8"><bold>0.9</bold></oasis:entry>  
         <oasis:entry colname="col9"><bold>0.98</bold></oasis:entry>  
         <oasis:entry colname="col10">39</oasis:entry>  
         <oasis:entry colname="col11"><bold>0.0</bold></oasis:entry>  
         <oasis:entry colname="col12"><bold>0.9</bold></oasis:entry>  
         <oasis:entry colname="col13"><bold>0.98</bold></oasis:entry>  
         <oasis:entry colname="col14">41</oasis:entry>  
         <oasis:entry colname="col15"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1</oasis:entry>  
         <oasis:entry colname="col16"><bold><italic>0.9</italic></bold></oasis:entry>  
         <oasis:entry colname="col17"><bold><italic>0.98</italic></bold></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Saga</oasis:entry>  
         <oasis:entry colname="col2">379</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.6</oasis:entry>  
         <oasis:entry colname="col4"><italic>1.1</italic></oasis:entry>  
         <oasis:entry colname="col5"><italic>0.93</italic></oasis:entry>  
         <oasis:entry colname="col6">27</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>1.0</italic></oasis:entry>  
         <oasis:entry colname="col8"><bold>0.9</bold></oasis:entry>  
         <oasis:entry colname="col9"><bold>0.95</bold></oasis:entry>  
         <oasis:entry colname="col10">33</oasis:entry>  
         <oasis:entry colname="col11"><inline-formula><mml:math display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>0.3</bold></oasis:entry>  
         <oasis:entry colname="col12"><bold>0.9</bold></oasis:entry>  
         <oasis:entry colname="col13"><bold>0.95</bold></oasis:entry>  
         <oasis:entry colname="col14">40</oasis:entry>  
         <oasis:entry colname="col15"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.6</oasis:entry>  
         <oasis:entry colname="col16"><bold><italic>0.9</italic></bold></oasis:entry>  
         <oasis:entry colname="col17"><bold><italic>0.96</italic></bold></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Darwin</oasis:entry>  
         <oasis:entry colname="col2">2491</oasis:entry>  
         <oasis:entry colname="col3"><bold>0.0</bold></oasis:entry>  
         <oasis:entry colname="col4"><italic>0.8</italic></oasis:entry>  
         <oasis:entry colname="col5"><italic>0.97</italic></oasis:entry>  
         <oasis:entry colname="col6">12</oasis:entry>  
         <oasis:entry colname="col7"><italic>0.5</italic></oasis:entry>  
         <oasis:entry colname="col8">0.7</oasis:entry>  
         <oasis:entry colname="col9"><italic>0.97</italic></oasis:entry>  
         <oasis:entry colname="col10">27</oasis:entry>  
         <oasis:entry colname="col11">0.4</oasis:entry>  
         <oasis:entry colname="col12"><bold>0.6</bold></oasis:entry>  
         <oasis:entry colname="col13"><bold>0.98</bold></oasis:entry>  
         <oasis:entry colname="col14">60</oasis:entry>  
         <oasis:entry colname="col15">0.3</oasis:entry>  
         <oasis:entry colname="col16"><bold><italic>0.6</italic></bold></oasis:entry>  
         <oasis:entry colname="col17"><bold><italic>0.98</italic></bold></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Wollongong</oasis:entry>  
         <oasis:entry colname="col2">2601</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>0.1</bold></oasis:entry>  
         <oasis:entry colname="col4"><bold>0.8</bold></oasis:entry>  
         <oasis:entry colname="col5"><bold>0.96</bold></oasis:entry>  
         <oasis:entry colname="col6">36</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>0.1</bold></oasis:entry>  
         <oasis:entry colname="col8"><bold>0.8</bold></oasis:entry>  
         <oasis:entry colname="col9"><bold>0.96</bold></oasis:entry>  
         <oasis:entry colname="col10">44</oasis:entry>  
         <oasis:entry colname="col11"><italic>0.2</italic></oasis:entry>  
         <oasis:entry colname="col12"><italic>0.9</italic></oasis:entry>  
         <oasis:entry colname="col13"><italic>0.95</italic></oasis:entry>  
         <oasis:entry colname="col14">21</oasis:entry>  
         <oasis:entry colname="col15"><bold><italic>0.0</italic></bold></oasis:entry>  
         <oasis:entry colname="col16"><bold><italic>0.8</italic></bold></oasis:entry>  
         <oasis:entry colname="col17"><bold><italic>0.96</italic></bold></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Lauder_120</oasis:entry>  
         <oasis:entry colname="col2">124</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>0.1</bold></oasis:entry>  
         <oasis:entry colname="col4"><italic>0.9</italic></oasis:entry>  
         <oasis:entry colname="col5"><italic>0.82</italic></oasis:entry>  
         <oasis:entry colname="col6">27</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>0.3</italic></oasis:entry>  
         <oasis:entry colname="col8"><bold>0.7</bold></oasis:entry>  
         <oasis:entry colname="col9"><bold>0.86</bold></oasis:entry>  
         <oasis:entry colname="col10">44</oasis:entry>  
         <oasis:entry colname="col11"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2</oasis:entry>  
         <oasis:entry colname="col12">0.8</oasis:entry>  
         <oasis:entry colname="col13">0.84</oasis:entry>  
         <oasis:entry colname="col14">29</oasis:entry>  
         <oasis:entry colname="col15"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2</oasis:entry>  
         <oasis:entry colname="col16">0.8</oasis:entry>  
         <oasis:entry colname="col17">0.84</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Lauder_125</oasis:entry>  
         <oasis:entry colname="col2">368</oasis:entry>  
         <oasis:entry colname="col3">0.3</oasis:entry>  
         <oasis:entry colname="col4"><italic>0.4</italic></oasis:entry>  
         <oasis:entry colname="col5"><bold>0.99</bold></oasis:entry>  
         <oasis:entry colname="col6">30</oasis:entry>  
         <oasis:entry colname="col7"><bold>0.2</bold></oasis:entry>  
         <oasis:entry colname="col8"><bold>0.3</bold></oasis:entry>  
         <oasis:entry colname="col9"><bold>0.99</bold></oasis:entry>  
         <oasis:entry colname="col10">40</oasis:entry>  
         <oasis:entry colname="col11"><italic>0.4</italic></oasis:entry>  
         <oasis:entry colname="col12"><italic>0.4</italic></oasis:entry>  
         <oasis:entry colname="col13"><bold>0.99</bold></oasis:entry>  
         <oasis:entry colname="col14">30</oasis:entry>  
         <oasis:entry colname="col15">0.3</oasis:entry>  
         <oasis:entry colname="col16"><bold><italic>0.3</italic></bold></oasis:entry>  
         <oasis:entry colname="col17"><bold><italic>0.99</italic></bold></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Statistics for all sites</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>  
         <oasis:entry colname="col13"/>  
         <oasis:entry colname="col14"/>  
         <oasis:entry colname="col15"/>  
         <oasis:entry colname="col16"/>  
         <oasis:entry colname="col17"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Relative accuracy (ppm)</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.48</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">0.53</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">0.47</oasis:entry>  
         <oasis:entry colname="col12"/>  
         <oasis:entry colname="col13"/>  
         <oasis:entry colname="col14"/>  
         <oasis:entry colname="col15">0.48</oasis:entry>  
         <oasis:entry colname="col16"/>  
         <oasis:entry colname="col17"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Overall precision (ppm)</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">1.3</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">0.97</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">0.96</oasis:entry>  
         <oasis:entry colname="col12"/>  
         <oasis:entry colname="col13"/>  
         <oasis:entry colname="col14"/>  
         <oasis:entry colname="col15">0.92</oasis:entry>  
         <oasis:entry colname="col16"/>  
         <oasis:entry colname="col17"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Total median share (%)</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">22</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">36</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">41</oasis:entry>  
         <oasis:entry colname="col12"/>  
         <oasis:entry colname="col13"/>  
         <oasis:entry colname="col14"/>  
         <oasis:entry colname="col15"/>  
         <oasis:entry colname="col16"/>  
         <oasis:entry colname="col17"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

<table-wrap id="App1.Ch1.T2" specific-use="star"><caption><p>Table showing the seasonal averages of the data plotted in Fig. <xref ref-type="fig" rid="Ch1.F7"/> for each of the Transcom regions. The retrieved a posteriori error, the uncertainty related to the model <inline-formula><mml:math 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>, their combined total, and the mean and standard deviation of the GOSAT<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>MACC difference are all provided for each season and for each Transcom region.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.78}[.78]?><oasis:tgroup cols="15">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="left"/>
     <oasis:colspec colnum="9" colname="col9" align="left"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:colspec colnum="13" colname="col13" align="right"/>
     <oasis:colspec colnum="14" colname="col14" align="right"/>
     <oasis:colspec colnum="15" colname="col15" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Region</oasis:entry>  
         <oasis:entry colname="col2">Season</oasis:entry>  
         <oasis:entry colname="col3">A posteriori</oasis:entry>  
         <oasis:entry colname="col4">Model</oasis:entry>  
         <oasis:entry colname="col5">Total</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9">Region</oasis:entry>  
         <oasis:entry colname="col10">Season</oasis:entry>  
         <oasis:entry colname="col11">A posteriori</oasis:entry>  
         <oasis:entry colname="col12">Model</oasis:entry>  
         <oasis:entry colname="col13">Total</oasis:entry>  
         <oasis:entry colname="col14"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col15"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">(ppb)</oasis:entry>  
         <oasis:entry colname="col4">(ppb)</oasis:entry>  
         <oasis:entry colname="col5">(ppb)</oasis:entry>  
         <oasis:entry colname="col6">(ppb)</oasis:entry>  
         <oasis:entry colname="col7">(ppb)</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">(ppb)</oasis:entry>  
         <oasis:entry colname="col12">(ppb)</oasis:entry>  
         <oasis:entry colname="col13">(ppb)</oasis:entry>  
         <oasis:entry colname="col14">(ppb)</oasis:entry>  
         <oasis:entry colname="col15">(ppb)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">North America</oasis:entry>  
         <oasis:entry colname="col2">spring</oasis:entry>  
         <oasis:entry colname="col3">7.4</oasis:entry>  
         <oasis:entry colname="col4">2.2</oasis:entry>  
         <oasis:entry colname="col5">7.8</oasis:entry>  
         <oasis:entry colname="col6">6.3</oasis:entry>  
         <oasis:entry colname="col7">13.0</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9">Eurasian</oasis:entry>  
         <oasis:entry colname="col10">spring</oasis:entry>  
         <oasis:entry colname="col11">7.1</oasis:entry>  
         <oasis:entry colname="col12">3.2</oasis:entry>  
         <oasis:entry colname="col13">8.0</oasis:entry>  
         <oasis:entry colname="col14">4.5</oasis:entry>  
         <oasis:entry colname="col15">13.1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">boreal</oasis:entry>  
         <oasis:entry colname="col2">summer</oasis:entry>  
         <oasis:entry colname="col3">6.6</oasis:entry>  
         <oasis:entry colname="col4">4.9</oasis:entry>  
         <oasis:entry colname="col5">8.3</oasis:entry>  
         <oasis:entry colname="col6">2.9</oasis:entry>  
         <oasis:entry colname="col7">9.6</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9">boreal</oasis:entry>  
         <oasis:entry colname="col10">summer</oasis:entry>  
         <oasis:entry colname="col11">6.3</oasis:entry>  
         <oasis:entry colname="col12">7.0</oasis:entry>  
         <oasis:entry colname="col13">9.5</oasis:entry>  
         <oasis:entry colname="col14">4.4</oasis:entry>  
         <oasis:entry colname="col15">9.9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">autumn</oasis:entry>  
         <oasis:entry colname="col3">10.0</oasis:entry>  
         <oasis:entry colname="col4">2.8</oasis:entry>  
         <oasis:entry colname="col5">10.5</oasis:entry>  
         <oasis:entry colname="col6">6.2</oasis:entry>  
         <oasis:entry colname="col7">11.4</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10">autumn</oasis:entry>  
         <oasis:entry colname="col11">9.0</oasis:entry>  
         <oasis:entry colname="col12">3.1</oasis:entry>  
         <oasis:entry colname="col13">9.6</oasis:entry>  
         <oasis:entry colname="col14">5.4</oasis:entry>  
         <oasis:entry colname="col15">11.1</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">winter</oasis:entry>  
         <oasis:entry colname="col3">10.8</oasis:entry>  
         <oasis:entry colname="col4">2.3</oasis:entry>  
         <oasis:entry colname="col5">11.1</oasis:entry>  
         <oasis:entry colname="col6">11.5</oasis:entry>  
         <oasis:entry colname="col7">14.5</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10">winter</oasis:entry>  
         <oasis:entry colname="col11">9.9</oasis:entry>  
         <oasis:entry colname="col12">2.5</oasis:entry>  
         <oasis:entry colname="col13">10.3</oasis:entry>  
         <oasis:entry colname="col14">5.7</oasis:entry>  
         <oasis:entry colname="col15">13.9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">North America</oasis:entry>  
         <oasis:entry colname="col2">spring</oasis:entry>  
         <oasis:entry colname="col3">5.1</oasis:entry>  
         <oasis:entry colname="col4">3.0</oasis:entry>  
         <oasis:entry colname="col5">6.0</oasis:entry>  
         <oasis:entry colname="col6">11.2</oasis:entry>  
         <oasis:entry colname="col7">9.2</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9">Eurasian</oasis:entry>  
         <oasis:entry colname="col10">spring</oasis:entry>  
         <oasis:entry colname="col11">4.4</oasis:entry>  
         <oasis:entry colname="col12">3.5</oasis:entry>  
         <oasis:entry colname="col13">5.7</oasis:entry>  
         <oasis:entry colname="col14">11.7</oasis:entry>  
         <oasis:entry colname="col15">9.7</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">temperate</oasis:entry>  
         <oasis:entry colname="col2">summer</oasis:entry>  
         <oasis:entry colname="col3">4.6</oasis:entry>  
         <oasis:entry colname="col4">4.7</oasis:entry>  
         <oasis:entry colname="col5">6.6</oasis:entry>  
         <oasis:entry colname="col6">7.4</oasis:entry>  
         <oasis:entry colname="col7">8.6</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9">temperate</oasis:entry>  
         <oasis:entry colname="col10">summer</oasis:entry>  
         <oasis:entry colname="col11">4.3</oasis:entry>  
         <oasis:entry colname="col12">5.8</oasis:entry>  
         <oasis:entry colname="col13">7.3</oasis:entry>  
         <oasis:entry colname="col14">5.5</oasis:entry>  
         <oasis:entry colname="col15">15.0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">autumn</oasis:entry>  
         <oasis:entry colname="col3">5.3</oasis:entry>  
         <oasis:entry colname="col4">3.1</oasis:entry>  
         <oasis:entry colname="col5">6.3</oasis:entry>  
         <oasis:entry colname="col6">7.7</oasis:entry>  
         <oasis:entry colname="col7">8.4</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10">autumn</oasis:entry>  
         <oasis:entry colname="col11">4.4</oasis:entry>  
         <oasis:entry colname="col12">4.1</oasis:entry>  
         <oasis:entry colname="col13">6.2</oasis:entry>  
         <oasis:entry colname="col14">6.5</oasis:entry>  
         <oasis:entry colname="col15">10.2</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">winter</oasis:entry>  
         <oasis:entry colname="col3">6.5</oasis:entry>  
         <oasis:entry colname="col4">2.4</oasis:entry>  
         <oasis:entry colname="col5">6.9</oasis:entry>  
         <oasis:entry colname="col6">11.6</oasis:entry>  
         <oasis:entry colname="col7">10.0</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10">winter</oasis:entry>  
         <oasis:entry colname="col11">5.2</oasis:entry>  
         <oasis:entry colname="col12">2.6</oasis:entry>  
         <oasis:entry colname="col13">5.8</oasis:entry>  
         <oasis:entry colname="col14">9.9</oasis:entry>  
         <oasis:entry colname="col15">9.6</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">South America</oasis:entry>  
         <oasis:entry colname="col2">spring</oasis:entry>  
         <oasis:entry colname="col3">6.4</oasis:entry>  
         <oasis:entry colname="col4">4.3</oasis:entry>  
         <oasis:entry colname="col5">7.8</oasis:entry>  
         <oasis:entry colname="col6">8.6</oasis:entry>  
         <oasis:entry colname="col7">11.2</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9">Tropical Asia</oasis:entry>  
         <oasis:entry colname="col10">spring</oasis:entry>  
         <oasis:entry colname="col11">6.0</oasis:entry>  
         <oasis:entry colname="col12">6.0</oasis:entry>  
         <oasis:entry colname="col13">8.5</oasis:entry>  
         <oasis:entry colname="col14">8.9</oasis:entry>  
         <oasis:entry colname="col15">12.2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">tropical</oasis:entry>  
         <oasis:entry colname="col2">summer</oasis:entry>  
         <oasis:entry colname="col3">5.3</oasis:entry>  
         <oasis:entry colname="col4">4.3</oasis:entry>  
         <oasis:entry colname="col5">6.9</oasis:entry>  
         <oasis:entry colname="col6">10.8</oasis:entry>  
         <oasis:entry colname="col7">8.6</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10">summer</oasis:entry>  
         <oasis:entry colname="col11">6.9</oasis:entry>  
         <oasis:entry colname="col12">5.0</oasis:entry>  
         <oasis:entry colname="col13">8.7</oasis:entry>  
         <oasis:entry colname="col14">10.9</oasis:entry>  
         <oasis:entry colname="col15">16.1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">autumn</oasis:entry>  
         <oasis:entry colname="col3">5.8</oasis:entry>  
         <oasis:entry colname="col4">5.2</oasis:entry>  
         <oasis:entry colname="col5">7.9</oasis:entry>  
         <oasis:entry colname="col6">10.7</oasis:entry>  
         <oasis:entry colname="col7">12.6</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10">autumn</oasis:entry>  
         <oasis:entry colname="col11">6.2</oasis:entry>  
         <oasis:entry colname="col12">6.0</oasis:entry>  
         <oasis:entry colname="col13">8.7</oasis:entry>  
         <oasis:entry colname="col14">11.7</oasis:entry>  
         <oasis:entry colname="col15">16.8</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">winter</oasis:entry>  
         <oasis:entry colname="col3">6.5</oasis:entry>  
         <oasis:entry colname="col4">4.1</oasis:entry>  
         <oasis:entry colname="col5">7.8</oasis:entry>  
         <oasis:entry colname="col6">7.4</oasis:entry>  
         <oasis:entry colname="col7">15.5</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10">winter</oasis:entry>  
         <oasis:entry colname="col11">5.6</oasis:entry>  
         <oasis:entry colname="col12">4.4</oasis:entry>  
         <oasis:entry colname="col13">7.2</oasis:entry>  
         <oasis:entry colname="col14">10.9</oasis:entry>  
         <oasis:entry colname="col15">9.0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">South America</oasis:entry>  
         <oasis:entry colname="col2">spring</oasis:entry>  
         <oasis:entry colname="col3">4.7</oasis:entry>  
         <oasis:entry colname="col4">3.7</oasis:entry>  
         <oasis:entry colname="col5">6.1</oasis:entry>  
         <oasis:entry colname="col6">6.0</oasis:entry>  
         <oasis:entry colname="col7">10.7</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9">Australia</oasis:entry>  
         <oasis:entry colname="col10">spring</oasis:entry>  
         <oasis:entry colname="col11">3.9</oasis:entry>  
         <oasis:entry colname="col12">2.5</oasis:entry>  
         <oasis:entry colname="col13">4.7</oasis:entry>  
         <oasis:entry colname="col14">11.4</oasis:entry>  
         <oasis:entry colname="col15">4.7</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">temperate</oasis:entry>  
         <oasis:entry colname="col2">summer</oasis:entry>  
         <oasis:entry colname="col3">4.3</oasis:entry>  
         <oasis:entry colname="col4">3.4</oasis:entry>  
         <oasis:entry colname="col5">5.5</oasis:entry>  
         <oasis:entry colname="col6">9.1</oasis:entry>  
         <oasis:entry colname="col7">7.4</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10">summer</oasis:entry>  
         <oasis:entry colname="col11">3.7</oasis:entry>  
         <oasis:entry colname="col12">1.8</oasis:entry>  
         <oasis:entry colname="col13">4.1</oasis:entry>  
         <oasis:entry colname="col14">11.7</oasis:entry>  
         <oasis:entry colname="col15">4.5</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">autumn</oasis:entry>  
         <oasis:entry colname="col3">4.2</oasis:entry>  
         <oasis:entry colname="col4">3.7</oasis:entry>  
         <oasis:entry colname="col5">5.7</oasis:entry>  
         <oasis:entry colname="col6">9.1</oasis:entry>  
         <oasis:entry colname="col7">9.7</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10">autumn</oasis:entry>  
         <oasis:entry colname="col11">3.7</oasis:entry>  
         <oasis:entry colname="col12">2.1</oasis:entry>  
         <oasis:entry colname="col13">4.3</oasis:entry>  
         <oasis:entry colname="col14">13.9</oasis:entry>  
         <oasis:entry colname="col15">5.2</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">winter</oasis:entry>  
         <oasis:entry colname="col3">4.7</oasis:entry>  
         <oasis:entry colname="col4">3.8</oasis:entry>  
         <oasis:entry colname="col5">6.1</oasis:entry>  
         <oasis:entry colname="col6">7.2</oasis:entry>  
         <oasis:entry colname="col7">13.5</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10">winter</oasis:entry>  
         <oasis:entry colname="col11">4.2</oasis:entry>  
         <oasis:entry colname="col12">2.5</oasis:entry>  
         <oasis:entry colname="col13">5.0</oasis:entry>  
         <oasis:entry colname="col14">15.0</oasis:entry>  
         <oasis:entry colname="col15">5.2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Northern Africa</oasis:entry>  
         <oasis:entry colname="col2">spring</oasis:entry>  
         <oasis:entry colname="col3">3.6</oasis:entry>  
         <oasis:entry colname="col4">3.6</oasis:entry>  
         <oasis:entry colname="col5">5.2</oasis:entry>  
         <oasis:entry colname="col6">8.8</oasis:entry>  
         <oasis:entry colname="col7">7.3</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9">Europe</oasis:entry>  
         <oasis:entry colname="col10">spring</oasis:entry>  
         <oasis:entry colname="col11">6.7</oasis:entry>  
         <oasis:entry colname="col12">3.5</oasis:entry>  
         <oasis:entry colname="col13">7.6</oasis:entry>  
         <oasis:entry colname="col14">9.2</oasis:entry>  
         <oasis:entry colname="col15">12.1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">summer</oasis:entry>  
         <oasis:entry colname="col3">3.6</oasis:entry>  
         <oasis:entry colname="col4">4.6</oasis:entry>  
         <oasis:entry colname="col5">5.9</oasis:entry>  
         <oasis:entry colname="col6">7.2</oasis:entry>  
         <oasis:entry colname="col7">7.4</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10">summer</oasis:entry>  
         <oasis:entry colname="col11">5.9</oasis:entry>  
         <oasis:entry colname="col12">5.3</oasis:entry>  
         <oasis:entry colname="col13">8.0</oasis:entry>  
         <oasis:entry colname="col14">10.7</oasis:entry>  
         <oasis:entry colname="col15">8.7</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">autumn</oasis:entry>  
         <oasis:entry colname="col3">3.4</oasis:entry>  
         <oasis:entry colname="col4">3.5</oasis:entry>  
         <oasis:entry colname="col5">4.9</oasis:entry>  
         <oasis:entry colname="col6">12.3</oasis:entry>  
         <oasis:entry colname="col7">8.4</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10">autumn</oasis:entry>  
         <oasis:entry colname="col11">7.5</oasis:entry>  
         <oasis:entry colname="col12">3.0</oasis:entry>  
         <oasis:entry colname="col13">8.2</oasis:entry>  
         <oasis:entry colname="col14">8.1</oasis:entry>  
         <oasis:entry colname="col15">8.9</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">winter</oasis:entry>  
         <oasis:entry colname="col3">3.3</oasis:entry>  
         <oasis:entry colname="col4">2.8</oasis:entry>  
         <oasis:entry colname="col5">4.3</oasis:entry>  
         <oasis:entry colname="col6">8.0</oasis:entry>  
         <oasis:entry colname="col7">4.9</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10">winter</oasis:entry>  
         <oasis:entry colname="col11">9.4</oasis:entry>  
         <oasis:entry colname="col12">3.1</oasis:entry>  
         <oasis:entry colname="col13">10.0</oasis:entry>  
         <oasis:entry colname="col14">9.3</oasis:entry>  
         <oasis:entry colname="col15">13.2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Southern Africa</oasis:entry>  
         <oasis:entry colname="col2">spring</oasis:entry>  
         <oasis:entry colname="col3">4.7</oasis:entry>  
         <oasis:entry colname="col4">4.6</oasis:entry>  
         <oasis:entry colname="col5">6.7</oasis:entry>  
         <oasis:entry colname="col6">15.5</oasis:entry>  
         <oasis:entry colname="col7">9.9</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>  
         <oasis:entry colname="col13"/>  
         <oasis:entry colname="col14"/>  
         <oasis:entry colname="col15"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">summer</oasis:entry>  
         <oasis:entry colname="col3">3.7</oasis:entry>  
         <oasis:entry colname="col4">3.4</oasis:entry>  
         <oasis:entry colname="col5">5.1</oasis:entry>  
         <oasis:entry colname="col6">12.6</oasis:entry>  
         <oasis:entry colname="col7">5.7</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>  
         <oasis:entry colname="col13"/>  
         <oasis:entry colname="col14"/>  
         <oasis:entry colname="col15"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">autumn</oasis:entry>  
         <oasis:entry colname="col3">4.8</oasis:entry>  
         <oasis:entry colname="col4">3.7</oasis:entry>  
         <oasis:entry colname="col5">6.1</oasis:entry>  
         <oasis:entry colname="col6">13.5</oasis:entry>  
         <oasis:entry colname="col7">9.8</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>  
         <oasis:entry colname="col13"/>  
         <oasis:entry colname="col14"/>  
         <oasis:entry colname="col15"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">winter</oasis:entry>  
         <oasis:entry colname="col3">5.4</oasis:entry>  
         <oasis:entry colname="col4">4.8</oasis:entry>  
         <oasis:entry colname="col5">7.3</oasis:entry>  
         <oasis:entry colname="col6">19.8</oasis:entry>  
         <oasis:entry colname="col7">10.7</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>  
         <oasis:entry colname="col13"/>  
         <oasis:entry colname="col14"/>  
         <oasis:entry colname="col15"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <p>The TCCON <inline-formula><mml:math 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> and <inline-formula><mml:math 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 used in this publication
are publicly available from <uri>http://tccon.ornl.gov</uri>. The following
data have been used: Sodankylä <xref ref-type="bibr" rid="bib1.bibx30" id="paren.35"/>, Bialystok
<xref ref-type="bibr" rid="bib1.bibx15" id="paren.36"/>, Karlsruhe <xref ref-type="bibr" rid="bib1.bibx26" id="paren.37"/>, Orleans
<xref ref-type="bibr" rid="bib1.bibx48" id="paren.38"/>, Garmisch <xref ref-type="bibr" rid="bib1.bibx47" id="paren.39"/>, Park Falls
<xref ref-type="bibr" rid="bib1.bibx49" id="paren.40"/>, Lamont <xref ref-type="bibr" rid="bib1.bibx50" id="paren.41"/>, Saga
<xref ref-type="bibr" rid="bib1.bibx28" id="paren.42"/>, Darwin <xref ref-type="bibr" rid="bib1.bibx23" id="paren.43"/>, Wollongong
<xref ref-type="bibr" rid="bib1.bibx24" id="paren.44"/>, Lauder120 <xref ref-type="bibr" rid="bib1.bibx45" id="paren.45"/>, and Lauder125
<xref ref-type="bibr" rid="bib1.bibx46" id="paren.46"/>.</p><?xmltex \hack{\clearpage}?>
</app>
  </app-group><ack><title>Acknowledgements</title><p>We thank Japanese Aerospace Exploration Agency, National Institute for Environmental Studies, and the Ministry
of Environment for the GOSAT data and their continuous support as
part of the Joint Research Agreement. R. J. Parker is funded through an ESA Living Planet Fellowship. The
work at the University of Leicester and University of Edinburgh was
supported by funding through the UK National Centre for Earth
Observation (NCEO), the Natural Environment Research Council (NERC),
and the ESA Greenhouse Gas Climate Change Initiative (GHG-CCI). Part
of this work was funded by the NERC Amazonian Carbon Observatory
project (NE/J016284/1) and the NERC GAUGE project (NE/K002465/1).
This research used the ALICE High Performance Computing Facility at the University of Leicester.</p><p>The authors would like to thank Paul Wennberg as the TCCON PI for
provision of TCCON data. The European TCCON groups acknowledge
financial support by the EU project InGOS. The RAMCES team at LSCE
(Gif-sur-Yvette, France) is acknowledged for maintenance and
logistical work for the Orléans TCCON site. The University of Bremen
acknowledges support from the Senate of Bremen, the EU-project
ICOS-INWIRE, and operational funding from the National Institute for
Environmental Studies (NIES, Japan). A part of the work at JAXA was
supported by the Environment Research and Technology Development
Fund (A-1102) of the Ministry of the Environment, Japan. A part of
this work has been supported by the European Commission Seventh
Framework Programme (FP7/2007–2013) projects MACC under grant
agreement 218793 and MACC-II under grant agreement
283576.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>Edited by:   I. Aben</p></ack><ref-list>
    <title>References</title>

      <ref id="bib1.bibx1"><label>Alexe et al.(2015)Alexe, Bergamaschi, Segers, Detmers, Butz,
Hasekamp, Guerlet, Parker, Boesch, Frankenberg, Scheepmaker,
Dlugokencky, Sweeney, Wofsy, and Kort</label><mixed-citation>Alexe, M., Bergamaschi, P., Segers, A., Detmers, R., Butz, A., Hasekamp, O.,
Guerlet, S., Parker, R., Boesch, H., Frankenberg, C., Scheepmaker, R. A.,
Dlugokencky, E., Sweeney, C., Wofsy, S. C., and Kort, E. A.: Inverse
modelling of CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> emissions for 2010–2011 using different satellite
retrieval products from GOSAT and SCIAMACHY, Atmos. Chem. Phys., 15,
113–133, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-15-113-2015" ext-link-type="DOI">10.5194/acp-15-113-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx2"><label>Bergamaschi et al.(2007)Bergamaschi, Frankenberg, Meirink,
Krol, Dentener, Wagner, Platt, Kaplan, Korner, Heinmann,
Dlugokencky, and Goede</label><mixed-citation>Bergamaschi, P.,
Frankenberg, C., Meirink, J. F., Krol, M., Dentener, F., Wagner, T.,
Platt, U., Kaplan, J. O., Korner, S., Heinmann, M.,
Dlugokencky, E. J., and Goede, A.: Satellite chartography of
atmospheric methane from SCIAMACHY on board ENVISAT: 2. Evaluation
based on inverse model simulations, J. Geophys. Res.-Atmos., 112, D02304
doi:<ext-link xlink:href="http://dx.doi.org/10.1029/2005JD006235">10.1029/2005JD006235</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx3"><label>Bergamaschi et al.(2009)Bergamaschi, Frankenberg, Meirink,
Krol, Villani, Houweling, Frank, Edward, John, Luciana, Andreas,
and Ingeborg</label><mixed-citation>Bergamaschi, P., Frankenberg, C.,
Meirink, J. F., Krol, M., Villani, M. G., Houweling, S., Frank, D.,
Edward, J. D., John, B. M., Luciana, V. G., Andreas, E., and
Ingeborg, L.: Inverse modeling of global and regional <inline-formula><mml:math 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> emissions
using SCIAMACHY satellite retrievals, J. Geophys. Res.-Atmos., 114, D22301,
doi:<ext-link xlink:href="http://dx.doi.org/10.1029/2009JD012287">10.1029/2009JD012287</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx4"><label>Bergamaschi et al.(2013)Bergamaschi, Houweling, Segers,
Krol, Frankenberg, Scheepmaker, Dlugokencky, Wofsy, Kort, Sweeney,
Schuck, Brenninkmeijer, Chen, Beck, and Gerbig</label><mixed-citation>Bergamaschi, P., Houweling, S., Segers, A., Krol, M.,
Frankenberg, C., Scheepmaker, R. A., Dlugokencky, E., Wofsy, S. C.,
Kort, E. A., Sweeney, C., Schuck, T., Brenninkmeijer, C., Chen, H.,
Beck, V., and Gerbig, C.: Atmospheric <inline-formula><mml:math 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> in the first decade of the
21st century: inverse modeling analysis using SCIAMACHY satellite
retrievals and NOAA surface measurements, J. Geophys. Res.-Atmos.,
118, 7350–7369,
doi:<ext-link xlink:href="http://dx.doi.org/10.1002/jgrd.50480">10.1002/jgrd.50480</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx5"><label>Boesch et al.(2011)Boesch, Baker, Connor, Crisp, and
Miller</label><mixed-citation>Boesch, H., Baker, D., Connor, B.,
Crisp, D., and Miller, C.: Global characterization of <inline-formula><mml:math 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>
column retrievals from shortwave-infrared satellite observations of
the Orbiting Carbon Observatory-2 Mission, Remote
Sensing, 3,
270–304,
doi:<ext-link xlink:href="http://dx.doi.org/10.3390/rs3020270">10.3390/rs3020270</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx6"><label>Bousquet et al.(2006)Bousquet, Ciais, Miller, Dlugokencky,
Hauglustaine, Prigent, Van Der Werf, Peylin, Brunke, Carouge,
Langenfelds, Lathiere, Papa, Ramonet, Schmidt, Steele, Tyler, and
White</label><mixed-citation>Bousquet, P., Ciais, P., Miller, J. B.,
Dlugokencky, E. J., Hauglustaine, D. A., Prigent, C., Van
Der Werf, G. R., Peylin, P., Brunke, E., Carouge, C.,
Langenfelds, R. L., Lathiere, J., Papa, F., Ramonet, M.,
Schmidt, M., Steele, L. P., Tyler, S. C., and White, J.:
Contribution of anthropogenic and natural sources to atmospheric
methane variability, Nature, 443, 439–443,
doi:<ext-link xlink:href="http://dx.doi.org/10.1038/nature05132">10.1038/nature05132</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx7"><label>Buchwitz et al.(2013)Buchwitz, Reuter, Schneising, Boesch,
Guerlet, Dils, Aben, Armante, Bergamaschi, Blumenstock,
Bovensmann, Brunner, Buchmann, Burrows, Butz, Chedin, Chevallier,
Crevoisier, Deutscher, Frankenberg, Hase, Hasekamp, Heymann,
Kaminski, Laeng, Lichtenberg, Maziere, Noel, Notholt, Orphal,
Popp, Parker, Scholze, Sussmann, Stiller, Warneke, Zehner, Bril,
Crisp, Griffith, Kuze, O'Dell, Oshchepkov, Sherlock, Suto,
Wennberg, Wunch, Yokota, and Yoshida</label><mixed-citation>Buchwitz, M., Reuter, M., Schneising, O., Boesch, H., Guerlet, S.,
Dils, B., Aben, I., Armante, R., Bergamaschi, P., Blumenstock, T.,
Bovensmann, H., Brunner, D., Buchmann, B., Burrows, J., Butz, A.,
Chedin, A., Chevallier, F., Crevoisier, C., Deutscher, N.,
Frankenberg, C., Hase, F., Hasekamp, O., Heymann, J., Kaminski, T.,
Laeng, A., Lichtenberg, G., Maziere, M. D., Noel, S., Notholt, J.,
Orphal, J., Popp, C., Parker, R., Scholze, M., Sussmann, R.,
Stiller, G., Warneke, T., Zehner, C., Bril, A., Crisp, D.,
Griffith, D., Kuze, A., O'Dell, C., Oshchepkov, S., Sherlock, V.,
Suto, H., Wennberg, P., Wunch, D., Yokota, T., and Yoshida, Y.: The
Greenhouse Gas Climate Change Initiative (GHG-CCI): comparison and
quality assessment of near-surface-sensitive satellite-derived
<inline-formula><mml:math 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 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> global data sets, Remote Sens. Environ., 162,
344–362,
doi:<ext-link xlink:href="http://dx.doi.org/10.1016/j.rse.2013.04.024">10.1016/j.rse.2013.04.024</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx8"><label>Butz et al.(2010)Butz, Hasekamp, Frankenberg, Vidot, and
Aben</label><mixed-citation>Butz, A., Hasekamp, O. P., Frankenberg, C.,
Vidot, J., and Aben, I.: <inline-formula><mml:math 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> retrievals from space-based
solar backscatter measurements: performance evaluation against
simulated aerosol and cirrus loaded scenes, J. Geophys. Res.-Atmos.,
115, D24302,
doi:<ext-link xlink:href="http://dx.doi.org/10.1029/2010JD014514">10.1029/2010JD014514</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx9"><label>Chevallier et al.(2010)Chevallier, Ciais, Conway, Aalto,
Anderson, Bousquet, Brunke, Ciattaglia, Esaki, Fröhlich,
Gomez, Gomez-Pelaez, Haszpra, Krummel, Langenfelds, Leuenberger,
MacHida, Maignan, Matsueda, Morguí, Mukai, Nakazawa, Peylin,
Ramonet, Rivier, Sawa, Schmidt, Steele, Vay, Vermeulen, Wofsy, and
Worthy</label><mixed-citation>Chevallier, F., Ciais, P., Conway, T.,
Aalto, T., Anderson, B., Bousquet, P., Brunke, E., Ciattaglia, L.,
Esaki, Y., Fröhlich, M., Gomez, A., Gomez-Pelaez, A.,
Haszpra, L., Krummel, P., Langenfelds, R., Leuenberger, M.,
MacHida, T., Maignan, F., Matsueda, H., Morguí, J., Mukai, H.,
Nakazawa, T., Peylin, P., Ramonet, M., Rivier, L., Sawa, Y.,
Schmidt, M., Steele, L., Vay, S., Vermeulen, A., Wofsy, S., and
Worthy, D.: <inline-formula><mml:math 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> surface fluxes at grid point scale estimated
from a global 21 year reanalysis of atmospheric measurements,
J. Geophys. Res.-Atmos., 115, D21307,
doi:<ext-link xlink:href="http://dx.doi.org/10.1029/2010JD013887">10.1029/2010JD013887</ext-link>,
2010.</mixed-citation></ref>
      <ref id="bib1.bibx10"><label>Chipperfield(1999)</label><mixed-citation>Chipperfield, M. P.:
Multiannual simulations with a three-dimensional chemical transport
model, J. Geophys. Res.-Atmos., 104, 1781–1805,
doi:<ext-link xlink:href="http://dx.doi.org/10.1029/98JD02597">10.1029/98JD02597</ext-link>, 1999.</mixed-citation></ref>
      <ref id="bib1.bibx11"><label>Cogan et al.(2012)Cogan, Boesch, Parker, Feng, Palmer,
Blavier, Deutscher, Macatangay, Notholt, Roehl, Warneke, and
Wunch</label><mixed-citation>Cogan, A., Boesch, H., Parker, R., Feng, L.,
Palmer, P., Blavier, J.-F., Deutscher, N. M., Macatangay, R.,
Notholt, J., Roehl, C., Warneke, T., and Wunch, D.: Atmospheric
carbon dioxide retrieved from the Greenhouse gases Observing
SATellite (GOSAT): comparison with ground-based TCCON observations
and GEOS-Chem model calculations, J. Geophys. Res.-Atmos., 117, D21301,
doi:<ext-link xlink:href="http://dx.doi.org/10.1029/2012JD018087">10.1029/2012JD018087</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx12"><label>Connor et al.(2008)Connor, Boesch, Toon, Sen, Miller, and
Crisp</label><mixed-citation>Connor, B. J., Boesch, H., Toon, G., Sen, B.,
Miller, C., and Crisp, D.: Orbiting Carbon Observatory: inverse
method and prospective error analysis, J. Geophys. Res.-Atmos., 113,
D05305,
doi:<ext-link xlink:href="http://dx.doi.org/10.1029/2006JD008336">10.1029/2006JD008336</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx13"><label>Cressot et al.(2014)Cressot, Chevallier, Bousquet,
Crevoisier, Dlugokencky, Fortems-Cheiney, Frankenberg, Parker,
Pison, Scheepmaker, Montzka, Krummel, Steele, and
Langenfelds</label><mixed-citation>Cressot, C., Chevallier, F., Bousquet, P., Crevoisier, C., Dlugokencky, E.
J., Fortems-Cheiney, A., Frankenberg, C., Parker, R., Pison, I., Scheepmaker,
R. A., Montzka, S. A., Krummel, P. B., Steele, L. P., and Langenfelds, R. L.:
On the consistency between global and regional methane emissions inferred
from SCIAMACHY, TANSO-FTS, IASI and surface measurements, Atmos. Chem. Phys.,
14, 577–592, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-14-577-2014" ext-link-type="DOI">10.5194/acp-14-577-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx14"><label>Dee et al.(2011)Dee, Uppala, Simmons, Berrisford, Poli,
Kobayashi, Andrae, Balmaseda, Balsamo, Bauer, Bechtold, Beljaars,
van de Berg, Bidlot, Bormann, Delsol, Dragani, Fuentes, Geer,
Haimberger, Healy, Hersbach, Hólm, Isaksen, Kållberg,
Köhler, Matricardi, McNally, Monge-Sanz, Morcrette, Park,
Peubey, de Rosnay, Tavolato, Thépaut, and Vitart</label><mixed-citation>Dee, D. P., Uppala, S. M., Simmons, A. J., Berrisford, P., Poli, P.,
Kobayashi, S., Andrae, U., Balmaseda, M. A., Balsamo, G., Bauer, P.,
Bechtold, P., Beljaars, A. C. M., van de Berg, L., Bidlot, J.,
Bormann, N., Delsol, C., Dragani, R., Fuentes, M., Geer, A. J.,
Haimberger, L., Healy, S. B., Hersbach, H., Hólm, E. V.,
Isaksen, L., Kållberg, P., Köhler, M., Matricardi, M.,
McNally, A. P., Monge-Sanz, B. M., Morcrette, J.-J., Park, B.-K.,
Peubey, C., de Rosnay, P., Tavolato, C., Thépaut, J.-N., and
Vitart, F.: The ERA-Interim reanalysis: configuration and
performance of the data assimilation system, Q. J. Roy. Meteor.
Soc., 137, 553–597,
doi:<ext-link xlink:href="http://dx.doi.org/10.1002/qj.828">10.1002/qj.828</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx15"><label>Deutscher et al.(2014)Deutscher, Notholt, Messerschmidt,
Weinzierl, Warneke, Petri, Grupe, and Katrynski</label><mixed-citation>Deutscher, N., Notholt, J., Messerschmidt, J., Weinzierl, C.,
Warneke, T., Petri, C., Grupe, P., and Katrynski, K.: TCCON Data
Archive, hosted by the Carbon Dioxide Information Analysis Center,
Oak Ridge National Laboratory, Oak Ridge, Tennessee, USA,
doi:<ext-link xlink:href="http://dx.doi.org/10.14291/tccon.ggg2014.bialystok01.R0/1149277">10.14291/tccon.ggg2014.bialystok01.R0/1149277</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx16"><label>Dils et al.(2014)Dils, Buchwitz, Reuter, Schneising, Boesch,
Parker, Guerlet, Aben, Blumenstock, Burrows, Butz, Deutscher,
Frankenberg, Hase, Hasekamp, Heymann, De Mazière, Notholt,
Sussmann, Warneke, Griffith, Sherlock, and Wunch</label><mixed-citation>Dils, B., Buchwitz, M., Reuter, M., Schneising, O., Boesch, H., Parker, R.,
Guerlet, S., Aben, I., Blumenstock, T., Burrows, J. P., Butz, A., Deutscher,
N. M., Frankenberg, C., Hase, F., Hasekamp, O. P., Heymann, J., De Mazière,
M., Notholt, J., Sussmann, R., Warneke, T., Griffith, D., Sherlock, V., and
Wunch, D.: The Greenhouse Gas Climate Change Initiative (GHG-CCI):
comparative validation of GHG-CCI SCIAMACHY/ENVISAT and TANSO-FTS/GOSAT
CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> retrieval algorithm products with measurements from the
TCCON, Atmos. Meas. Tech., 7, 1723–1744, <ext-link xlink:href="http://dx.doi.org/10.5194/amt-7-1723-2014" ext-link-type="DOI">10.5194/amt-7-1723-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx17"><label>Dlugokencky et al.(2009)Dlugokencky, Bruhwiler, White,
Emmons, Novelli, Montzka, Masarie, Lang, Crotwell, Miller, and
Gatti</label><mixed-citation>Dlugokencky, E. J., Bruhwiler, L.,
White, J. W. C., Emmons, L. K., Novelli, P. C., Montzka, S. A.,
Masarie, K. A., Lang, P. M., Crotwell, A. M., Miller, J. B., and
Gatti, L. V.: Observational constraints on recent increases in the
atmospheric <inline-formula><mml:math 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> burden, Geophys. Res. Lett., 36, L18803,
doi:<ext-link xlink:href="http://dx.doi.org/10.1029/2009GL039780">10.1029/2009GL039780</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx18"><label>Feng et al.(2011)Feng, Palmer, Yang, Yantosca, Kawa, Paris,
Matsueda, and Machida</label><mixed-citation>Feng, L., Palmer, P. I., Yang, Y., Yantosca, R. M., Kawa, S. R., Paris,
J.-D., Matsueda, H., and Machida, T.: Evaluating a 3-D transport model of
atmospheric CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> using ground-based, aircraft, and space-borne data, Atmos.
Chem. Phys., 11, 2789–2803, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-11-2789-2011" ext-link-type="DOI">10.5194/acp-11-2789-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx19"><label>Frankenberg et al.(2006)Frankenberg, Meirink, Bergamaschi,
Goede, Heimann, Körner, Platt, van Weele, and
Wagner</label><mixed-citation>Frankenberg, C., Meirink, J. F.,
Bergamaschi, P., Goede, A. P. H., Heimann, M., Körner, S.,
Platt, U., van Weele, M., and Wagner, T.: Satellite chartography of
atmospheric methane from SCIAMACHY on board ENVISAT: analysis of the
years 2003 and 2004, J. Geophys. Res.-Atmos., 111, D07303,
doi:<ext-link xlink:href="http://dx.doi.org/10.1029/2005JD006235">10.1029/2005JD006235</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx20"><label>Frankenberg et al.(2011)Frankenberg, Aben, Bergamaschi,
Dlugokencky, Van Hees, Houweling, Van Der Meer, Snel, and
Tol</label><mixed-citation>Frankenberg, C., Aben, I.,
Bergamaschi, P., Dlugokencky, E., Van Hees, R., Houweling, S., Van
Der Meer, P., Snel, R., and Tol, P.: Global column-averaged methane
mixing ratios from 2003 to 2009 as derived from SCIAMACHY: trends
and variability, J. Geophys. Res.-Atmos., 116, D04302,
doi:<ext-link xlink:href="http://dx.doi.org/10.1029/2010JD014849">10.1029/2010JD014849</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx21"><label>Fraser et al.(2013)Fraser, Palmer, Feng, Boesch, Cogan,
Parker, Dlugokencky, Fraser, Krummel, Langenfelds, O'Doherty,
Prinn, Steele, van der Schoot, and Weiss</label><mixed-citation>Fraser, A., Palmer, P. I., Feng, L., Boesch, H., Cogan, A., Parker, R.,
Dlugokencky, E. J., Fraser, P. J., Krummel, P. B., Langenfelds, R. L.,
O'Doherty, S., Prinn, R. G., Steele, L. P., van der Schoot, M., and Weiss, R.
F.: Estimating regional methane surface fluxes: the relative importance of
surface and GOSAT mole fraction measurements, Atmos. Chem. Phys., 13,
5697–5713, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-13-5697-2013" ext-link-type="DOI">10.5194/acp-13-5697-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx22"><label>Fraser et al.(2014)Fraser, Palmer, Feng, Bösch, Parker,
Dlugokencky, Krummel, and Langenfelds</label><mixed-citation>Fraser, A., Palmer, P. I., Feng, L., Bösch, H., Parker, R., Dlugokencky, E.
J., Krummel, P. B., and Langenfelds, R. L.: Estimating regional fluxes of CO2
and CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> using space-borne observations of XCH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>: XCO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, Atmos. Chem.
Phys., 14, 12883–12895, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-14-12883-2014" ext-link-type="DOI">10.5194/acp-14-12883-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx23"><label>Griffith et al.(2014a)Griffith, Deutscher,
Velazco, Wennberg, Yavin, Aleks, Washenfelder, Toon, Blavier,
Murphy, Jones, Kettlewell, Connor, Macatangay, Roehl, Ryczek,
Glowacki, Culgan, and Bryant</label><mixed-citation>Griffith, D. W. T.,
Deutscher, N., Velazco, V. A., Wennberg, P. O., Yavin, Y.,
Aleks, G. K., Washenfelder, R., Toon, G. C., Blavier, J.-F.,
Murphy, C., Jones, N., Kettlewell, G., Connor, B., Macatangay, R.,
Roehl, C., Ryczek, M., Glowacki, J., Culgan, T., and Bryant, G.:
TCCON Data from Darwin, Australia, Release GGG2014R0. TCCON Data
Archive, hosted by the Carbon Dioxide Information Analysis Center,
Oak Ridge National Laboratory, Oak Ridge, Tennessee, USA,
doi:<ext-link xlink:href="http://dx.doi.org/10.14291/tccon.ggg2014.darwin01.R0/1149290">10.14291/tccon.ggg2014.darwin01.R0/1149290</ext-link>,
2014a.</mixed-citation></ref>
      <ref id="bib1.bibx24"><label>Griffith et al.(2014b)Griffith, Velazco,
Deutscher, Murphy, Jones, Wilson, Macatangay, Kettlewell,
Buchholz, and Riggenbach</label><mixed-citation>Griffith, D. W. T.,
Velazco, V. A., Deutscher, N., Murphy, C., Jones, N., Wilson, S.,
Macatangay, R., Kettlewell, G., Buchholz, R. R., and Riggenbach, M.:
TCCON Data from Wollongong, Australia, Release GGG2014R0. TCCON Data
Archive, hosted by the Carbon Dioxide Information Analysis Center,
Oak Ridge National Laboratory, Oak Ridge, Tennessee, USA,
doi:<ext-link xlink:href="http://dx.doi.org/10.14291/tccon.ggg2014.wollongong01.R0/1149291">10.14291/tccon.ggg2014.wollongong01.R0/1149291</ext-link>,
2014b.</mixed-citation></ref>
      <ref id="bib1.bibx25"><label>Gurney et al.(2002)Gurney, Law, Denning, Rayner, Baker,
Bousquet, Bruhwiler, Chen, Clals, Fan, Fung, Gloor, Heimann,
Higuchi, John, Maki, Maksyutov, Masarie, Peylin, Prather, Pak,
Randerson, Sarmiento, Taguchi, Takahashi, and Yuen</label><mixed-citation>Gurney, K., Law, R., Denning, A., Rayner, P., Baker, D.,
Bousquet, P., Bruhwiler, L., Chen, Y.-H., Clals, P., Fan, S.,
Fung, I., Gloor, M., Heimann, M., Higuchi, K., John, J., Maki, T.,
Maksyutov, S., Masarie, K., Peylin, P., Prather, M., Pak, B.,
Randerson, J., Sarmiento, J., Taguchi, S., Takahashi, T., and
Yuen, C.-W.: Towards robust regional estimates of <inline-formula><mml:math 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 using atmospheric transport models, Nature, 415,
626–630,
doi:<ext-link xlink:href="http://dx.doi.org/10.1038/415626a">10.1038/415626a</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bibx26"><label>Hase et al.(2014)Hase, Blumenstock, Dohe, Grofl, and
Kiel</label><mixed-citation>Hase, F., Blumenstock, T., Dohe, S.,
Grofl, J., and Kiel, M.: TCCON Data from Karlsruhe, Germany, Release
GGG2014R0, TCCON Data Archive, hosted by the Carbon Dioxide
Information Analysis Center, Oak Ridge National Laboratory, Oak
Ridge, Tennessee, USA,
doi:<ext-link xlink:href="http://dx.doi.org/10.14291/tccon.ggg2014.karlsruhe01.R0/1149270">10.14291/tccon.ggg2014.karlsruhe01.R0/1149270</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx27"><label>Houweling et al.(2014)Houweling, Krol, Bergamaschi,
Frankenberg, Dlugokencky, Morino, Notholt, Sherlock, Wunch, Beck,
Gerbig, Chen, Kort, Röckmann, and Aben</label><mixed-citation>Houweling, S., Krol, M., Bergamaschi, P., Frankenberg, C., Dlugokencky, E.
J., Morino, I., Notholt, J., Sherlock, V., Wunch, D., Beck, V., Gerbig, C.,
Chen, H., Kort, E. A., Röckmann, T., and Aben, I.: A multi-year methane
inversion using SCIAMACHY, accounting for systematic errors using TCCON
measurements, Atmos. Chem. Phys., 14, 3991–4012,
<ext-link xlink:href="http://dx.doi.org/10.5194/acp-14-3991-2014" ext-link-type="DOI">10.5194/acp-14-3991-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx28"><label>Kawakami et al.(2014)Kawakami, Ohyama, Arai, Okumura, Taura,
Fukamachi, and Sakashita</label><mixed-citation>Kawakami, S., Ohyama, H.,
Arai, K., Okumura, H., Taura, C., Fukamachi, T., and Sakashita, M.:
TCCON Data from Saga, Japan, Release GGG2014R0. TCCON Data Archive,
hosted by the Carbon Dioxide Information Analysis Center, Oak Ridge
National Laboratory, Oak Ridge, Tennessee, USA,
doi:<ext-link xlink:href="http://dx.doi.org/10.14291/tccon.ggg2014.saga01.R0/1149283">10.14291/tccon.ggg2014.saga01.R0/1149283</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx29"><label>Kirschke et al.(2013)Kirschke, Bousquet, Ciais, Saunois,
Canadell, Dlugokencky, Bergamaschi, Bergmann, Blake, Bruhwiler
et al.</label><mixed-citation>Kirschke, S., Bousquet, P., Ciais, P.,
Saunois, M., Canadell, J. G., Dlugokencky, E. J., Bergamaschi, P.,
Bergmann, D., Blake, D. R., Bruhwiler, L., Cameron-Smith, P., Castaldi, S., Chevallier, F.,
Feng, L., Fraser, A., Heimann, M., Hodson, E. L., Houweling, S., Josse, B., Fraser, P. J.,
Krummel, P. B., Lamarque, J.-F., Langenfelds, R. L., Le Quere, C., Naik, V.,
O'Doherty, S., Palmer, P. I., Pison, I., Plummer, D., Poulter, B., Prinn, R. G.,
Rigby, M., Ringeval, B., Santini, M., Schmidt, M., Shindell, D. T., Simpson, I. J.,
Spahni, R., Steele, L. P., Strode, S. A., Sudo, K., Szopa, S., van der Werf, G. R.,
Voulgarakis, A., van Weele, M., Weiss, R. F., Williams, J. E., and Zeng, G.: Three decades of global methane
sources and sinks, Nat. Geosci., 6, 813–823,
doi:<ext-link xlink:href="http://dx.doi.org/10.1038/ngeo1955">10.1038/ngeo1955</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx30"><label>Kivi et al.(2014)Kivi, Heikkinen, and
Kyro.</label><mixed-citation>Kivi, R., Heikkinen, P., and Kyro., E.:
TCCON Data from Sodankyla, Finland, Release GGG2014R0. TCCON Data
Archive, hosted by the Carbon Dioxide Information Analysis Center,
Oak Ridge National Laboratory, Oak Ridge, Tennessee, USA,
doi:<ext-link xlink:href="http://dx.doi.org/10.14291/tccon.ggg2014.sodankyla01.R0/1149280">10.14291/tccon.ggg2014.sodankyla01.R0/1149280</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx31"><label>Kuze et al.(2014)Kuze, Taylor, Kataoka, Bruegge, Crisp, Harada, Helmlinger, Inoue,
Kawakami, Kikuchi, Mitomi, Murooka, Naitoh, O'Brien, O'Dell, Ohyama, Pollock, Schwandner, Shiomi, Suto, Takeda, Tanaka, Urabe, Yokota, and Yoshida</label><mixed-citation>Kuze, A., Taylor, T., Kataoka, F., Bruegge, C., Crisp, D., Harada, M.,
Helmlinger, M., Inoue, M., Kawakami, S., Kikuchi, N., Mitomi, Y.,
Murooka, J., Naitoh, M., O'Brien, D., O'Dell, C., Ohyama, H., Pollock, H.,
Schwandner, F., Shiomi, K., Suto, H., Takeda, T., Tanaka, T., Urabe, T.,
Yokota, T., and Yoshida, Y.: Long-term vicarious calibration of GOSAT
short-wave sensors: techniques for error reduction and new estimates of
radiometric degradation factors, IEEE T. Geosci. Remote, 52, 3991–4004,
doi:<ext-link xlink:href="http://dx.doi.org/10.1109/TGRS.2013.2278696">10.1109/TGRS.2013.2278696</ext-link>,
2014.</mixed-citation></ref>
      <ref id="bib1.bibx32"><label>Messerschmidt et al.(2010)Messerschmidt, Macatangay,
Notholt, Petri, Warneke, and Weinzierl</label><mixed-citation>Messerschmidt, J., Macatangay, R., Notholt, J., Petri, C.,
Warneke, T., and Weinzierl, C.: Side by side measurements of
<inline-formula><mml:math 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> by ground-based Fourier transform spectrometry (FTS),
Tellus B, 62, 749–758,
doi:<ext-link xlink:href="http://dx.doi.org/10.1111/j.1600-0889.2010.00491.x">10.1111/j.1600-0889.2010.00491.x</ext-link>,
2010.</mixed-citation></ref>
      <ref id="bib1.bibx33"><label>Monteil et al.(2013)Monteil, Houweling, Butz, Guerlet,
Schepers, Hasekamp, Frankenberg, Scheepmaker, Aben, and
Röckmann</label><mixed-citation>Monteil, G., Houweling, S., Butz, A.,
Guerlet, S., Schepers, D., Hasekamp, O., Frankenberg, C.,
Scheepmaker, R., Aben, I., and Röckmann, T.: Comparison of
<inline-formula><mml:math 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> inversions based on 15 months of GOSAT and SCIAMACHY
observations, J. Geophys. Res.-Atmos., 118, 11807–11823,
doi:<ext-link xlink:href="http://dx.doi.org/10.1002/2013JD019760">10.1002/2013JD019760</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx34"><label>Myhre et al.(2013)Myhre, Shindell, Bréon, Collins,
Fuglestvedt, Huang, Koch, Lamarque, Lee, Mendoza, Nakajima,
Robock, Stephens, Takemura, and Zhang</label><mixed-citation>Myhre, G.,
Shindell, D., Bréon, F.-M., Collins, W., Fuglestvedt, J.,
Huang, J., Koch, D., Lamarque, J.-F., Lee, D., Mendoza, B.,
Nakajima, T., Robock, A., Stephens, G., Takemura, T., and Zhang, H.:
Anthropogenic and natural radiative forcing, chap. 8, in: 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., Qin, D.,
Plattner, G.-K., Tignor, M., Allen, S., Boschung, J., Nauels, A.,
Xia, Y., Bex, V., and Midgley, P., Cambridge University Press,
659–740,
doi:<ext-link xlink:href="http://dx.doi.org/10.1017/CBO9781107415324.018">10.1017/CBO9781107415324.018</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx35"><label>Nisbet et al.(2014)Nisbet, Dlugokencky, and
Bousquet</label><mixed-citation>Nisbet, E., Dlugokencky, E., and
Bousquet, P.: Methane on the rise – again, Science, 343, 493–495,
doi:<ext-link xlink:href="http://dx.doi.org/10.1126/science.1247828">10.1126/science.1247828</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx36"><label>O'Dell et al.(2012)O'Dell, Connor, Bösch, O'Brien,
Frankenberg, Castano, Christi, Eldering, Fisher, Gunson, McDuffie,
Miller, Natraj, Oyafuso, Polonsky, Smyth, Taylor, Toon, Wennberg,
and Wunch</label><mixed-citation>O'Dell, C. W., Connor, B., Bösch, H., O'Brien, D., Frankenberg, C.,
Castano, R., Christi, M., Eldering, D., Fisher, B., Gunson, M., McDuffie, J.,
Miller, C. E., Natraj, V., Oyafuso, F., Polonsky, I., Smyth, M., Taylor, T.,
Toon, G. C., Wennberg, P. O., and Wunch, D.: The ACOS CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> retrieval
algorithm – Part 1: Description and validation against synthetic
observations, Atmos. Meas. Tech., 5, 99–121, <ext-link xlink:href="http://dx.doi.org/10.5194/amt-5-99-2012" ext-link-type="DOI">10.5194/amt-5-99-2012</ext-link>,
2012.</mixed-citation></ref>
      <ref id="bib1.bibx37"><label>Pandey et al.(2015)Pandey, Houweling, Krol, Aben and Röckman</label><mixed-citation>Pandey, S., Houweling, S., Krol, M., Aben, I., and Röckmann, T.: On the use
of satellite-derived CH<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>:</mml:mo></mml:mrow></mml:math></inline-formula> CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> columns in a joint inversion of CH4
and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fluxes, Atmos. Chem. Phys., 15, 8615–8629,
<ext-link xlink:href="http://dx.doi.org/10.5194/acp-15-8615-2015" ext-link-type="DOI">10.5194/acp-15-8615-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx38"><label>Parker et al.(2011)Parker, Boesch, Cogan, Fraser, Feng,
Palmer, Messerschmidt, Deutscher, Griffith, Notholt, Wennberg, and
Wunch</label><mixed-citation>Parker, R., Boesch, H., Cogan, A.,
Fraser, A., Feng, L., Palmer, P. I., Messerschmidt, J.,
Deutscher, N., Griffith, D. W. T., Notholt, J., Wennberg, P. O., and
Wunch, D.: Methane observations from the Greenhouse Gases Observing
SATellite: comparison to ground-based TCCON data and model
calculations, Geophys. Res.  Lett., 38, L15807,
doi:<ext-link xlink:href="http://dx.doi.org/10.1029/2011GL047871">10.1029/2011GL047871</ext-link>,
2011.</mixed-citation></ref>
      <ref id="bib1.bibx39"><label>Peters et al.(2007)Peters, Jacobson, Sweeney, Andrews,
Conway, Masarie, Miller, Bruhwiler, Petron, Hirsch, Worthy, Van
Der Werf, Randerson, Wennberg, Krol, and Tans</label><mixed-citation>Peters, W., Jacobson, A. R., Sweeney, C., Andrews, A. E.,
Conway, T. J., Masarie, K., Miller, J. B., Bruhwiler, L. M. P.,
Petron, G., Hirsch, A. I., Worthy, D. E. J., Van Der Werf, G. R.,
Randerson, J. T., Wennberg, P. O., Krol, M. C., and Tans, P. P.: An
atmospheric perspective on North American carbon dioxide exchange:
CarbonTracker, P. Natl. Acad. Sci. USA, 104, 18925–18930,
doi:<ext-link xlink:href="http://dx.doi.org/10.1073/pnas.0708986104">10.1073/pnas.0708986104</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx40"><label>Prather et al.(2012)Prather, Holmes, and Hsu</label><mixed-citation>Prather, M. J., Holmes, C. D., and Hsu, J.: Reactive greenhouse gas
scenarios: systematic exploration of uncertainties and the role of
atmospheric chemistry, Geophys. Res. Lett., 39, L09803,
doi:<ext-link xlink:href="http://dx.doi.org/10.1029/2012GL051440">10.1029/2012GL051440</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx41"><label>Rigby et al.(2008)Rigby, Prinn, Fraser, Simmonds,
Langenfelds, Huang, Cunnold, Steele, Krummel, Weiss, O'Doherty,
Salameh, Wang, Harth, Muhle, and Porter</label><mixed-citation>Rigby, M.,
Prinn, R. G., Fraser, P. J., Simmonds, P. G., Langenfelds, R. L.,
Huang, J., Cunnold, D. M., Steele, L. P., Krummel, P. B.,
Weiss, R. F., O'Doherty, S., Salameh, P. K., Wang, H. J.,
Harth, C. M., Muhle, J., and Porter, L. W.: Renewed growth of
atmospheric methane, Geophys. Res. Lett., 35, L22805,
doi:<ext-link xlink:href="http://dx.doi.org/10.1029/2008GL036037">10.1029/2008GL036037</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx42"><label>Rodgers(2000)</label><mixed-citation> Rodgers, C.: Inverse Methods
for Atmospheric Sounding: Theory and Practice, World Scientific Publishing
Co Pte Ltd, 2000.</mixed-citation></ref>
      <ref id="bib1.bibx43"><label>Schepers et al.(2012)Schepers, Guerlet, Butz, Landgraf,
Frankenberg, Hasekamp, Blavier, Deutscher, Griffith, Hase, Kyro,
Morino, Sherlock, Sussmann, and Aben</label><mixed-citation>Schepers, D., Guerlet, S., Butz, A., Landgraf, J., Frankenberg, C.,
Hasekamp, O., Blavier, J.-F., Deutscher, N. M., Griffith, D. W. T.,
Hase, F., Kyro, E., Morino, I., Sherlock, V., Sussmann, R., and
Aben, I.: Methane retrievals from Greenhouse Gases Observing
Satellite (GOSAT) shortwave infrared measurements: performance
comparison of proxy and physics retrieval algorithms,
J. Geophys. Res.-Atmos., 117, D10307,
doi:<ext-link xlink:href="http://dx.doi.org/10.1029/2012JD017549">10.1029/2012JD017549</ext-link>,
2012.</mixed-citation></ref>
      <ref id="bib1.bibx44"><label>Schneising et al.(2011)Schneising, Buchwitz, Reuter,
Heymann, Bovensmann, and Burrows</label><mixed-citation>Schneising, O., Buchwitz, M., Reuter, M., Heymann, J., Bovensmann, H., and
Burrows, J. P.: Long-term analysis of carbon dioxide and methane
column-averaged mole fractions retrieved from SCIAMACHY, Atmos. Chem. Phys.,
11, 2863–2880, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-11-2863-2011" ext-link-type="DOI">10.5194/acp-11-2863-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx45"><label>Sherlock et al.(2014a)Sherlock, Connor,
Robinson, Shiona, Smale, and Pollard</label><mixed-citation>Sherlock, V., Connor, B., Robinson, J., Shiona, H., Smale, D., and
Pollard, D.: TCCON Data from Lauder, New Zealand, 120HR, Release
GGG2014R0. TCCON Data Archive, hosted by the Carbon Dioxide
Information Analysis Center, Oak Ridge National Laboratory, Oak
Ridge, Tennessee, USA,
doi:<ext-link xlink:href="http://dx.doi.org/10.14291/tccon.ggg2014.lauder01.R0/1149293">10.14291/tccon.ggg2014.lauder01.R0/1149293</ext-link>,
2014a.</mixed-citation></ref>
      <ref id="bib1.bibx46"><label>Sherlock et al.(2014b)Sherlock, Connor,
Robinson, Shiona, Smale, and Pollard</label><mixed-citation>Sherlock, V., Connor, B., Robinson, J., Shiona, H., Smale, D., and
Pollard, D.: TCCON Data from Lauder, New Zealand, 125HR, Release
GGG2014R0. TCCON Data Archive, hosted by the Carbon Dioxide
Information Analysis Center, Oak Ridge National Laboratory, Oak
Ridge, Tennessee, USA,
doi:<ext-link xlink:href="http://dx.doi.org/10.14291/tccon.ggg2014.lauder02.R0/1149298">10.14291/tccon.ggg2014.lauder02.R0/1149298</ext-link>,
2014b.</mixed-citation></ref>
      <ref id="bib1.bibx47"><label>Sussmann and Rettinger(2014)</label><mixed-citation>Sussmann, R. and Rettinger, M.: TCCON Data from Garmisch, Germany,
Release GGG2014R0. TCCON Data Archive, hosted by the Carbon Dioxide
Information Analysis Center, Oak Ridge National Laboratory, Oak
Ridge, Tennessee, USA,
<ext-link xlink:href="http://dx.doi.org/10.14291/tccon.ggg2014.garmisch01.R0/1149299" ext-link-type="DOI">10.14291/tccon.ggg2014.garmisch01.R0/1149299</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx48"><label>Warneke et al.(2014)Warneke, Messerschmidt, Notholt,
Weinzierl, Deutscher, Petri, Grupe, Vuillemin, Truong, Schmidt,
Ramonet, and Parmentier</label><mixed-citation>Warneke, T.,
Messerschmidt, J., Notholt, J., Weinzierl, C., Deutscher, N.,
Petri, C., Grupe, P., Vuillemin, C., Truong, F., Schmidt, M.,
Ramonet, M., and Parmentier, E.: TCCON Data from Orleans, France,
Release GGG2014R0. TCCON Data Archive, hosted by the Carbon Dioxide
Information Analysis Center, Oak Ridge National Laboratory, Oak
Ridge, Tennessee, USA,
doi:<ext-link xlink:href="http://dx.doi.org/10.14291/tccon.ggg2014.orleans01.R0/1149276">10.14291/tccon.ggg2014.orleans01.R0/1149276</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx49"><label>Wennberg et al.(2014a)Wennberg, Roehl, Wunch,
Toon, Blavier, Washenfelder, Keppel-Aleks, Allen, and
Ayers</label><mixed-citation>Wennberg, P. O., Roehl, C., Wunch, D.,
Toon, G. C., Blavier, J.-F., Washenfelder, R., Keppel-Aleks, G.,
Allen, N., and Ayers, J.: TCCON Data from Park Falls, Wisconsin,
USA, Release GGG2014R0. TCCON Data Archive, hosted by the Carbon
Dioxide Information Analysis Center, Oak Ridge National Laboratory,
Oak Ridge, Tennessee, USA,
doi:<ext-link xlink:href="http://dx.doi.org/10.14291/tccon.ggg2014.parkfalls01.R0/1149161">10.14291/tccon.ggg2014.parkfalls01.R0/1149161</ext-link>,
2014a.</mixed-citation></ref>
      <ref id="bib1.bibx50"><label>Wennberg et al.(2014b)Wennberg, Wunch, Roehl,
Blavier, Toon, Allen, Dowell, Teske, Martin, and
Martin</label><mixed-citation>Wennberg, P. O., Wunch, D., Roehl, C.,
Blavier, J.-F., Toon, G. C., Allen, N., Dowell, P., Teske, K.,
Martin, C., and Martin, J.: TCCON Data from Lamont, Oklahoma, USA,
Release GGG2014R0. TCCON Data Archive, hosted by the Carbon Dioxide
Information Analysis Center, Oak Ridge National Laboratory, Oak
Ridge, Tennessee, USA,
doi:<ext-link xlink:href="http://dx.doi.org/10.14291/tccon.ggg2014.lamont01.R0/1149159">10.14291/tccon.ggg2014.lamont01.R0/1149159</ext-link>,
2014b.</mixed-citation></ref>
      <ref id="bib1.bibx51"><label>Wunch et al.(2010)Wunch, Toon, Wennberg, Wofsy, Stephens,
Fischer, Uchino, Abshire, Bernath, Biraud, Blavier, Boone, Bowman,
Browell, Campos, Connor, Daube, Deutscher, Diao, Elkins, Gerbig,
Gottlieb, Griffith, Hurst, Jiménez, Keppel-Aleks, Kort,
Macatangay, Machida, Matsueda, Moore, Morino, Park, Robinson,
Roehl, Sawa, Sherlock, Sweeney, Tanaka, and Zondlo</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="http://dx.doi.org/10.5194/amt-3-1351-2010" ext-link-type="DOI">10.5194/amt-3-1351-2010</ext-link>, 2010.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bibx52"><label>Wunch et al.(2011a)Wunch, Toon, Blavier,
Washenfelder, Notholt, Connor, Griffith, Sherlock, and
Wennberg.</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. Roy. Soc. A, 369, 2087–2112,
doi:<ext-link xlink:href="http://dx.doi.org/10.1098/rsta.2010.0240">10.1098/rsta.2010.0240</ext-link>, 2011a.</mixed-citation></ref>
      <ref id="bib1.bibx53"><label>Wunch et al.(2011b)Wunch, Wennberg, Toon,
Connor, Fisher, Osterman, Frankenberg, Mandrake, O'Dell, Ahonen,
Biraud, Castano, Cressie, Crisp, Deutscher, Eldering, Fisher,
Griffith, Gunson, Heikkinen, Keppel-Aleks, Kyrö, Lindenmaier,
Macatangay, Mendonca, Messerschmidt, Miller, Morino, Notholt,
Oyafuso, Rettinger, Robinson, Roehl, Salawitch, Sherlock, Strong,
Sussmann, Tanaka, Thompson, Uchino, Warneke, and
Wofsy</label><mixed-citation>Wunch, D., Wennberg, P. O., Toon, G. C., Connor, B. J., Fisher, B., Osterman,
G. B., Frankenberg, C., Mandrake, L., O'Dell, C., Ahonen, P., Biraud, S. C.,
Castano, R., Cressie, N., Crisp, D., Deutscher, N. M., Eldering, A., Fisher,
M. L., Griffith, D. W. T., Gunson, M., Heikkinen, P., Keppel-Aleks, G.,
Kyrö, E., Lindenmaier, R., Macatangay, R., Mendonca, J., Messerschmidt, J.,
Miller, C. E., Morino, I., Notholt, J., Oyafuso, F. A., Rettinger, M.,
Robinson, J., Roehl, C. M., Salawitch, R. J., Sherlock, V., Strong, K.,
Sussmann, R., Tanaka, T., Thompson, D. R., Uchino, O., Warneke, T., and
Wofsy, S. C.: A method for evaluating bias in global measurements of CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
total columns from space, Atmos. Chem. Phys., 11, 12317–12337,
<ext-link xlink:href="http://dx.doi.org/10.5194/acp-11-12317-2011" ext-link-type="DOI">10.5194/acp-11-12317-2011</ext-link>, 2011b.</mixed-citation></ref>
      <ref id="bib1.bibx54"><label>Yokota et al.(2009)Yokota, Yoshida, Eguchi, Ota, Tanaka,
Watanabe, and Maksyutov</label><mixed-citation>Yokota, T., Yoshida, Y.,
Eguchi, N., Ota, Y., Tanaka, T., Watanabe, H., and Maksyutov, S.:
Global concentrations of <inline-formula><mml:math 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 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> retrieved from
GOSAT: first preliminary results, SOLA, 5, 160–163,
doi:<ext-link xlink:href="http://dx.doi.org/10.2151/sola.2009-041">10.2151/sola.2009-041</ext-link>, 2009.</mixed-citation></ref>

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