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  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">ACP</journal-id>
<journal-title-group>
<journal-title>Atmospheric Chemistry and Physics</journal-title>
<abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1680-7324</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-16-10263-2016</article-id><title-group><article-title>Carbon monoxide climatology derived from the trajectory mapping of global
MOZAIC-IAGOS data</article-title>
      </title-group><?xmltex \runningtitle{Trajectory-mapped MOZAIC-IAGOS CO climatology}?><?xmltex \runningauthor{M.~K.~Osman et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff6">
          <name><surname>Osman</surname><given-names>Mohammed K.</given-names></name>
          <email>mohammed.osman@noaa.gov</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Tarasick</surname><given-names>David W.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff5">
          <name><surname>Liu</surname><given-names>Jane</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7760-2788</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Moeini</surname><given-names>Omid</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Thouret</surname><given-names>Valerie</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Fioletov</surname><given-names>Vitali E.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Parrington</surname><given-names>Mark</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4313-6218</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Nédélec</surname><given-names>Philippe</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0533-1880</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Environment Canada, 4905 Dufferin Street, Downsview, ON, M3H 5T4,
Canada</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Geography and Program in Planning, University of
Toronto, 100 St. George Street, Toronto, Ontario, <?xmltex \hack{\newline}?> M5S 3G3, Canada</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Laboratoire d'Aérologie, UMR5560, CNRS and Université de
Toulouse, Toulouse, France</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>European Centre for Medium-Range Weather Forecasts, Shinfield Park,
Reading, RG2 9AX, UK</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>School of Atmospheric Sciences, Nanjing University, Nanjing, 210023,
China</institution>
        </aff>
        <aff id="aff6"><label>a</label><institution>current affiliation: Cooperative Institute for Mesoscale
Meteorological Studies, The University of Oklahoma, and NOAA/National Severe
Storms Laboratory, Norman, Oklahoma, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Mohammed K. Osman (mohammed.osman@noaa.gov)</corresp></author-notes><pub-date><day>12</day><month>August</month><year>2016</year></pub-date>
      
      <volume>16</volume>
      <issue>15</issue>
      <fpage>10263</fpage><lpage>10282</lpage>
      <history>
        <date date-type="received"><day>17</day><month>September</month><year>2015</year></date>
           <date date-type="rev-request"><day>2</day><month>November</month><year>2015</year></date>
           <date date-type="rev-recd"><day>4</day><month>May</month><year>2016</year></date>
           <date date-type="accepted"><day>11</day><month>July</month><year>2016</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://acp.copernicus.org/articles/16/10263/2016/acp-16-10263-2016.html">This article is available from https://acp.copernicus.org/articles/16/10263/2016/acp-16-10263-2016.html</self-uri>
<self-uri xlink:href="https://acp.copernicus.org/articles/16/10263/2016/acp-16-10263-2016.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/16/10263/2016/acp-16-10263-2016.pdf</self-uri>


      <abstract>
    <p>A three-dimensional gridded climatology of carbon monoxide (CO) has been
developed by trajectory mapping of global MOZAIC-IAGOS in situ measurements
from commercial aircraft data. CO measurements made during aircraft ascent
and descent, comprising nearly 41 200 profiles at 148 airports worldwide
from December 2001 to December 2012, are used. Forward and backward
trajectories are calculated from meteorological reanalysis data in order to
map the CO measurements to other locations and so to fill in the spatial
domain. This domain-filling technique employs 15 800 000 calculated
trajectories to map otherwise sparse MOZAIC-IAGOS data into a quasi-global
field. The resulting trajectory-mapped CO data set is archived monthly from
2001 to 2012 on a grid of 5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude <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>
latitude <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1 km altitude, from the surface to 14 km altitude.</p>
    <p>The mapping product has been carefully evaluated, firstly by comparing maps
constructed using only forward trajectories and using only backward
trajectories. The two methods show similar global CO distribution patterns.
The magnitude of their differences is most commonly 10 % or less and
found to be less than 30 % for almost all cases. Secondly, the method has
been validated by comparing profiles for individual airports with those
produced by the mapping method when data from that site are excluded. While
there are larger differences below 2 km, the two methods agree very well
between 2 and 10 km with the magnitude of biases within 20 %. Finally, the
mapping product is compared with global MOZAIC-IAGOS cruise-level data,
which were not included in the trajectory-mapped data set, and with
independent data from the NOAA aircraft flask sampling program. The
trajectory-mapped MOZAIC-IAGOS CO values show generally good agreement with
both independent data sets.</p>
    <p>Maps are also compared with version 6 data from the Measurements Of
Pollution In The Troposphere (MOPITT) satellite instrument. Both data sets
clearly show major regional CO sources such as biomass burning in Central
and southern Africa and anthropogenic emissions in eastern China. While the
maps show similar features and patterns, and relative biases are small in
the lowermost troposphere, we find differences of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 20 % in
CO volume mixing ratios between 500  and 300 hPa. These upper-tropospheric
biases are not related to the mapping procedure, as almost identical
differences are found with the original in situ MOZAIC-IAGOS data. The total
CO trajectory-mapped MOZAIC-IAGOS column is also higher than the MOPITT CO
total column by 12–16 %.</p>
    <p>The data set shows the seasonal CO cycle over different latitude bands and
altitude ranges as well as long-term trends over different latitude bands.
We observe a decline in CO over the northern hemispheric extratropics and the
tropics consistent with that reported by previous studies using other data
sources.</p>
    <p>We anticipate use of the trajectory-mapped MOZAIC-IAGOS CO data set as an a
priori climatology for satellite retrieval and for air quality model
validation and initialization.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Atmospheric carbon monoxide (CO) is an important global air pollutant and
trace gas. Due to its relatively long lifetime of 1–4 months (Hubler et al.,
1992; Law and Pyle, 1993), it is an ideal tracer for long-range atmospheric
transport (Logan et al., 1981; Lelieveld et al., 2001; Shindell et al.,
2006). Moreover, in the tropics, it is an important tracer of upward
transport during convective events (e.g., Pommrich et al., 2014).
Consequently, it has been employed to facilitate interpretations of chemical
measurements (Jaffe et al., 1996; Parrish et al., 1991, 1998; Wang et al.,
1996, 1997) and in validating chemical transport models (Carmichael et al.,
2003; Liu et al., 2003; Tan et al., 2004; Wang et al., 2004). The main
sources of atmospheric CO are relatively well understood (Galanter et al.,
2000; Granier et al., 2011; Holloway et al., 2000); however, the magnitude
of individual sources and their seasonal variability, especially of biomass
burning, are not well quantified. Stein et al. (2014) also reported that
models are also generally biased low due to either an underestimation of CO
sources or an overestimation of its sinks. There are differences in the
emission densities of anthropogenic and natural sources, despite the fact
that the anthropogenic and natural sources are of similar magnitude on a
global scale (Granier et al., 2011; Logan et al., 1981). The anthropogenic
sources are primarily associated with large industrial centers or major
biomass burning regions while the natural sources, such as oxidation of
methane (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> and non-methane hydrocarbons (NMHCs), are much more
diffuse. This makes CO a good atmospheric tracer gas for anthropogenic
emissions as its lifetime allows it to be used as an indicator of how
large-scale atmospheric transport redistributes pollutants on a global
scale.</p>
      <p>CO plays a vital role in the chemistry of the atmosphere. This significance
mainly comes from the influence of CO on the concentrations and
distributions of the atmospheric oxidants, ozone (O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, the hydroperoxy
(HO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and hydroxyl radicals (OH) (e.g. Novelli et al.,  1994, 1998).
Reaction (R1) between CO and OH represents 90–95 % of the CO sink (Logan
et al., 1981) and about 75 % of the removal of OH (Thompson, 1992) in the
troposphere:<?xmltex \hack{\newpage}?>

              <disp-formula specific-use="align" content-type="numbered reaction"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>→</mml:mo><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:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mo>+</mml:mo><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:mo>→</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mspace width="0.33em" linebreak="nobreak"/><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">M</mml:mi></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>
      <p>In areas with sufficient NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> NO <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, HO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> formed in
Reaction (R2) leads to photochemical Reactions (R3)–(R5), which bring about
net O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production. In urban areas and regions of biomass burning, large
amounts of these O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> precursors will be produced, and O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> can be
formed in, and downwind of, the source region (Crutzen, 1973; Fishman and
Seiler, 1983):

              <disp-formula specific-use="align" content-type="numbered reaction"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E3"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi>h</mml:mi><mml:mi mathvariant="italic">ν</mml:mi><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>(</mml:mo><mml:mo>&lt;</mml:mo><mml:mn>425</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">nm</mml:mi><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E5"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><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:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">M</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is associated with respiratory problems and decreased crop yields
(e.g., McKee, 1993; Chameides et al., 1994). Since CO and OH are principal
reaction partners, CO concentrations in the atmosphere have important
climatological implications. OH is also responsible for the removal of
greenhouse gases such as CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, as well as other volatile organic compounds in
the atmosphere. Via these interactions with OH, O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</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>, CO has
an indirect radiative forcing of about 0.25 W m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (IPCC AR5, 2013).</p>
      <p>Global atmospheric chemistry models require accurate CO concentrations on a
global scale in order to define spatial and temporal variations of
atmospheric oxidants and CO. For this reason measurements of CO are made by
different kinds of remote sensing and in situ instruments, in ground-based
networks, aircraft programmes, and from space (Novelli et al., 1994, 1998;
Rinsland and Levine, 1985; Zander et al., 1989; Brook et al., 2014; Reichle
Jr.
et al., 1990, 1999; Worden et al., 2013; Petzold et al., 2015). Long-range
atmospheric transport redistributes CO widely due to its relatively long
lifetime. Typical tropospheric background CO levels range between 50 and 120 ppbv (WHO, 2000). Mixing ratios much higher than 250 ppb have been observed
in the upper troposphere over Asia (Nédélec et al., 2005) or over
the Pacific (Clark et al., 2015) in biomass burning plumes. CO values as
high as 1800 ppbv have been reported over Beijing (Zbinden et al., 2013)</p>
      <p>Early studies of ground-based observations showed increasing trends in
global CO before 1980 (Khalil and Rasmussen, 1988; Rinsland and Levine,
1985; Zander et al., 1989), followed by a modest decline in the 1990s
(Novelli et al., 1994, 2003; Khalil and Rasmussen, 1994). More recently
satellite observations have shown that the decline has continued: Worden et
al. (2013) report a global trend from 2000 to 2011 of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 %
per decade on column CO in the Northern Hemisphere (NH). Petetin et al. (2015)
show a similar decrease of about 2 ppb per year over Frankfurt throughout
the troposphere from 2002 to 2012. The decrease is at least partly due to a
decrease in global anthropogenic CO emissions (Granier et al., 2011).
<?xmltex \hack{\newpage}?>
In-service Aircraft for a Global Observing System (IAGOS) and its
predecessor Measurement of Ozone and water vapor by Airbus In-service
airCraft (MOZAIC) have been making automatic and regular measurements of
O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, water vapor, and standard meteorological parameters onboard
long-range commercial Airbus A340 aircraft since August 1994 (Marenco et
al., 1998; Petzold et al., 2015). Measurements of CO (Nédélec et
al., 2003) and NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>y</mml:mi></mml:msub></mml:math></inline-formula> (the sum of NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> plus its atmospheric oxidation products)
(Volz-Thomas et al., 2005) were added in late 2001. The MOZAIC database
currently contains data from more than 41 200 vertical profiles of CO,
measured during takeoff and landing from 148 airports around the world.
MOZAIC measurements show the general features of the atmospheric CO
distribution (Zbinden et al., 2013; Petzold et al., 2015, and references
therein), capturing major regional features (e.g., strong CO emissions from
biomass burning or anthropogenic sources).</p>
      <p>The objective of this paper is to present a three-dimensional (i.e.,
latitude, longitude, altitude) gridded climatology of carbon monoxide that
has been developed by trajectory mapping of global MOZAIC-IAGOS CO data from
2001 to 2012. We employ a domain-filling technique, using approximately
15 800 000 calculated trajectories to map otherwise sparse MOZAIC-IAGOS CO
data into a global field.</p>
      <p>This is a technique that has been used successfully with tropospheric and
stratospheric ozonesonde data (G. Liu et al., 2013; J. Liu et al., 2013).  Stohl
et al. (2001) used trajectory statistics to extend one year of MOZAIC
O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> measurements into a four-season O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> climatology at 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude by 6<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude and three vertical heights. Tarasick et al. (2010)
developed high-resolution (1<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<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 km
in latitude, longitude, and altitude) tropospheric O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> fields for North
America from ozonesonde data from the INTEX (Intercontinental Transport
Experiment) and ARCTAS (Arctic Research of the Composition of the
Troposphere from Aircraft and Satellites) campaigns, and this was extended
to global tropospheric ozonesonde data by G. Liu et al. (2013). It is
possible to apply this technique to CO because the lifetime of CO in the
troposphere, as noted above, is generally of the order of weeks or months.
This physically based method, using the reanalysis meteorological data from
the National Centers for Environmental Prediction/National Center for
Atmospheric Research (NCEP/NCAR) (Kalnay et al., 1996) to, in effect,
interpolate data based on knowledge of atmospheric transport, offers obvious
advantages over typical statistical interpolation methods.</p>
</sec>
<sec id="Ch1.S2">
  <title>Measurements of CO</title>
<sec id="Ch1.S2.SS1">
  <title>MOZAIC-IAGOS</title>
      <p>CO measurements were made by an improved version of a commercial model 48CTL
CO Analyzer from Thermo Environmental Instruments employing the gas filter
correlation technique. The model 48CTL is based on the principle that CO
absorbs infrared radiation at a wavelength of 4.67 <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>. For 30 s
integration time (the response time of the instrument) the precision
achieved is 5 ppb (noise) or 5 % (calibration) CO, with minimum detection
limit of 10 ppb. The analyzer samples at a horizontal resolution of about 7 km (since the maximum cruise speed of the Airbus
A340 aircraft is nearly 250 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and the vertical resolution during ascents and descents is nearly 300 m. Nédélec et al. (2003 for MOZAIC, 2015 for IAGOS) give detailed
descriptions of the CO analyzer, measurement technique, instrument
validation, and quality testing.</p>
      <p>The airports visited by aircraft equipped with MOZAIC-IAGOS instrumentation
are shown in Fig. 1. Further details are available at <uri>http://www.iagos.fr</uri>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Airports visited by MOZAIC-IAGOS aircraft from 2001 to 2012. The color
bar indicates the number of profiles available from each airport. The squares
show the locations of the selected airports used for the validation in this
study.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10263/2016/acp-16-10263-2016-f01.png"/>

        </fig>

      <p>The sampled data from these airports are unevenly distributed spatially, and
also temporally because the frequency of visits to airports by aircraft that
take part in MOZAIC-IAGOS varies considerably depending on commercial
airlines' operational constraints. Thus at Frankfurt, Germany, we find 12 324
CO profiles while from Dammam, Saudi Arabia, we have only 2 during the period
2001–2012. The trajectory-mapping method is valuable for filling the sparse
and variable spatial domain.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>MOPITT</title>
      <p>MOPITT is a nadir-viewing gas correlation radiometer which provides global
atmospheric profiles of CO volume mixing ratio (VMR) and CO total column
values using near-infrared radiation (NIR) at 2.3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m and thermal-infrared
radiation (TIR) at 4.7 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m (Drummond and Mand, 1996). CO columns and
profiles are retrieved from the infrared emission channels (4.6 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m) for all
cloud-free scenes. The MOPITT measurement technique relies on a temperature
gradient within the atmosphere, leading to a retrieval dependence on surface
temperature, and little sensitivity to CO in the boundary layer. The
retrieval uses a priori profiles that vary geographically and temporally.
MOPITT-derived CO VMR profiles reflect the vertical sensitivity of the
measurement as defined by the retrieval averaging kernel (e.g. Fig. 3) and a
priori profile. In this study, we have used Level 3, Version 6 monthly CO
mixing ratio profile data, reported on 10 pressure levels, as well as CO
total column. Nighttime CO observations of MOPITT have not been validated
and appear subject to larger bias (Heald et al., 2004). Hence, we use the
daytime data for comparison. MOPITT data are publicly available at the NASA
Langley Research Center Atmospheric Science Data Center (<uri>https://eosweb.larc.nasa.gov/project/mopitt/mopitt_table</uri>).</p>
      <p>MOPITT was launched in 1999 into sun-synchronous polar orbit with a 10:30
local time (LT) northward or southward equatorial crossover time. The
instrument field of view is <inline-formula><mml:math display="inline"><mml:mrow><mml:mn>22</mml:mn><mml:mo>×</mml:mo><mml:mn>22</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. Cross-track scanning with a 612 km swath provides near complete coverage of the surface of the Earth
approximately every 3 days. MOPITT retrievals have gone through intensive
validation against in situ measurements from aircraft on a regular basis
since the start of the mission (Worden et al., 2010; Deeter et al., 2012,
2013, 2014; Emmons et al., 2004, 2007, 2009; Jacob et al., 2003). MOPITT CO
retrievals have also been validated by comparing to ground-based and TES (Tropospheric Emission
Spectrometer)
satellite measurements (Jacob et al., 2003; Luo et al., 2007). Deeter et
al. (2014) employ the MOPITT L3 V6 product and show biases to vary from
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.2 % at 400 hPa to 8.9 % at the surface. Previous studies used earlier
versions of the MOPITT product.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Trajectory calculation and global CO mapping via HYSPLIT
(HYbrid Single-Particle Lagrangian Integrated Trajectory)</title>
      <p>For each CO profile of the MOZAIC-IAGOS data set presented here, the mean CO
VMR was calculated for 1 km intervals from sea level up to 12 km (the
maximum altitude of the aircraft). Cruise data were not used. The HYSPLIT model version 4.9
(Draxler and Hess, 1998; Draxler, 1999) was employed to calculate
trajectories for each level of each profile. The exact location of the
aircraft was used to start the trajectories. HYSPLIT, publicly accessible at
<uri>http://ready.arl.noaa.gov/HYSPLIT.php</uri>, uses the reanalysis
meteorological wind fields from NCEP/NCAR (Kalnay et
al., 1996) as an input to describe the transport of CO in the atmosphere.
The reanalysis data are available from 1948 until the present. Both forward
and backward trajectories for 4 days at 6 h intervals (32 positions for
each level) were calculated for 41 200 CO profiles, and the mean CO mixing
ratios from each level (i.e., tropospheric and lower stratospheric air
masses) of each profile were assigned to the corresponding trajectory
positions along the forward and backward paths. Trajectories only move
upward and downward with the meteorological vertical velocity fields since
the HYSPLIT kinematic trajectory model employs vertical motions supplied
with the NCEP reanalysis meteorological data set. Numerous studies show that
the choice of vertical wind velocity has significant impact on the transport
of tracers (e.g., Schoeberl et al., 2003; Ploeger et al., 2010, 2012).
Kinematic models show excessive dispersion for tracers with strong gradients
(e.g., O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the vicinity of the tropopause), particularly for
trajectories of 7 days or more. Here trajectories were limited to a maximum
of 4 days in length. Moreover, unlike O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, CO does not have a strong
vertical gradient in the upper troposphere. Trajectories that reach the
ground continue at the surface where trajectory robustness is more
uncertain. Trajectories that reach the top height of the model (20 000 m
above sea level) terminate. Although HYSPLIT is capable of generating a
trajectory every hour (i.e., 24 trajectories per day), the typical maximum
frequency of CO measurements is around two profiles per day (with the
exception of Frankfurt, where we can get up to six profiles per day). In this
version, no attempt was made to identify individual CO sources; however, the
climatology could in principle be refined by excluding back trajectories
from sources identified via emission inventories. We note, however, that if
major anthropogenic sources were a significant source of error, we would see
differences between the CO mapping produced using only backward and only
forward trajectories (see Sect. 3.1).</p>
      <p>This mapping implicitly assumes that CO chemistry may be neglected over a
timescale of 4 days. Except near major sources, this assumption should be
valid, as the lifetime of CO is much longer. However, trajectories have
significant errors over such timescales. Stohl (1998), in a comprehensive
review, quotes typical errors of about 100–200 km day<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in the troposphere.
This can be combined with an estimate of the correlation length in the
troposphere to yield an estimate for the information value of a mapped
measurement. Liu et al. (2009) find that O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> measurements in the
troposphere correlate with an exponential dependence of approximately
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:mi>r</mml:mi><mml:mrow><mml:mfenced close="" open="/"><mml:mphantom style="vphantom"><mml:mpadded width="0pt" style="vphantom"><mml:mi>r</mml:mi><mml:mi>R</mml:mi></mml:mpadded></mml:mphantom></mml:mfenced></mml:mrow><mml:mi>R</mml:mi></mml:mfenced><mml:mn>1.5</mml:mn></mml:msup></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> is distance and <inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> is a
correlation length of 500–1000 km in the troposphere and 1000–2000 km in
the stratosphere. As the CO lifetime is even longer than the ozone lifetime,
the correlation length for CO should be at least as large. Therefore, the
trajectory-mapped data were binned at intervals of 5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude and
5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude, at every 1 km altitude, and averaged with a weighting,
<inline-formula><mml:math display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula>, assigned according to the formula:


                <disp-formula id="Ch1.E6" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi>w</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:msup><mml:mfenced open="(" close=")"><mml:mn>150</mml:mn><mml:mi>t</mml:mi><mml:mo>/</mml:mo><mml:mi>R</mml:mi></mml:mfenced><mml:mn>1.5</mml:mn></mml:msup></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> is the correlation length (taken as 700 km in the troposphere and
1500 km in the stratosphere), and <inline-formula><mml:math display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> is the age of the trajectory in days.</p>
      <p>The trajectory mapping greatly spreads out the in situ CO information along
the trajectory paths, increasing the spatial domain to include much of the
globe. Two different vertical coordinate systems were utilized for the
binning, and hence the maps were generated for elevations above sea level
and above ground level. Data are available publicly at
<uri>ftp://es-ee.tor.ec.gc.ca/pub/ftpdt/MOZAIC_output_CO/</uri>. In this work, we present global CO maps generated
for elevations above sea level. Global maps of monthly, annual, seasonal, and
decadal means are presented, for each altitude, from 2001 to 2012.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <title>Distribution of data and uncertainties associated with trajectory
mapping</title>
      <p>Figure 2 shows typical standard errors of the mapping product and the number
of samples per grid cell, for typical monthly, annual, and decadal maps at
4.5 km altitude above sea level. Similar figures for other levels are
included with the climatology on the FTP site. As can be seen, the largest
number of samples per grid cell and the lowest standard errors are found
over North America and Europe as there are more frequent MOZAIC-IAGOS
aircraft flights in this region. Higher standard errors are found at NH high
latitudes and much of the Southern Hemisphere (SH), where airports visits by MOZAIC-IAGOS-equipped
aircraft are much fewer. The standard error is computed using all data
points found inside a grid cell. This is probably biased low, since some
grid cells may contain more than one value from a particular trajectory.
This bias is likely not more than a factor of 2, based on typical trajectory
lengths. These maps present a visual interpretation that distinguishes
regions where the CO climatology is “statistically robust” (for example,
North America and Europe) from those regions where the uncertainty is
larger. The average number of samples is approximately 20, 90, and 140 per
grid cell for the monthly, annual, and decadal maps, and this number does not
vary greatly among layers. The average standard error is generally between 3
and 4 % of the mean at 4.5 km for all three averaging periods. The monthly
mean shows the highest error and the lowest number of samples per grid cell.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>The standard error of the mean (left panels) and number of samples
(right panels) for monthly (July 2012), annual (2005), and seasonal (DJF
2001–2012) means at 4.5 km altitude above sea level. The month and year
shown are chosen as typical; other months and years show similar patterns.
The data are binned on a 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> 5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude and
longitude grid.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10263/2016/acp-16-10263-2016-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS5">
  <title>MOZAIC-IAGOS Comparison with MOPITT</title>
      <p>When comparing the MOPITT retrievals with in situ data, it is necessary to
take into account the sensitivity of the retrievals to the true profiles.
The method used by MOPITT to retrieve tropospheric CO profiles follows that
of Rodgers (2000). In order to perform the most meaningful and accurate
comparison, the in situ data to be compared must be transformed using the
averaging kernel matrix, <inline-formula><mml:math display="inline"><mml:mi mathvariant="bold">A</mml:mi></mml:math></inline-formula>, and a priori profile, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, as shown by Eq. (2).
A “retrieved” comparison profile, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mtext>ret</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, is calculated by using
the in situ profile, <inline-formula><mml:math display="inline"><mml:mi mathvariant="bold-italic">x</mml:mi></mml:math></inline-formula>, as the “true” profile in Eq. (2), which is
interpolated to the lower resolution of MOPITT. As described by Emmons et
al. (2004), the in situ profile (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is transformed with averaging kernel
matrix (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="bold">A</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and the a priori CO profile (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
to get a profile (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mtext>ret</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>,
the appropriate quantity to compare with the MOPITT retrievals:
            <disp-formula id="Ch1.E7" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mtext>ret</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="bold">A</mml:mi><mml:mfenced close=")" open="("><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mfenced><mml:mo>+</mml:mo><mml:mi mathvariant="italic">ε</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="bold">A</mml:mi><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>+</mml:mo><mml:mfenced close=")" open="("><mml:mi mathvariant="bold">I</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="bold">A</mml:mi></mml:mfenced><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="italic">ε</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math display="inline"><mml:mi mathvariant="bold">I</mml:mi></mml:math></inline-formula> is the identity matrix and <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> is the retrieval error
due to random errors in the measurement and systematic errors in the forward
model (e.g., the error in the atmospheric temperature retrieval). <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mtext>ret</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math display="inline"><mml:mi mathvariant="bold-italic">x</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are expressed in terms of the logarithm of the VMR. The
averaging kernels provide the relative weighting between the true and a
priori profiles and reflect the sensitivity of the retrieval to the
measurement (Worden et al., 2013). They are very sensitive to the surface
temperature and will be different for each point on the globe. The matrix
<bold>A</bold>
describes the sensitivity of the retrieved CO log(VMR) profile to
perturbations applied at each level of the “true” log(VMR) profile. The
quantity <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mtext>ret</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, the transformed in situ profile, represents the result of applying a
linear transformation to the in situ profile in the same way that the remote
sensing retrieval process is believed to transform the true profile. Thus,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mtext>ret</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
can be directly compared against the MOPITT-retrieved CO profile in a manner
that is not affected by varying vertical resolution or a priori dependence.
The vertical resolution of the retrieved profile is described by the shapes
of the averaging kernels. Figure 3 shows that the kernels are broad except
at pressure levels between 400 and 300 hPa and exhibit a large degree of
overlap. The overlap of the averaging kernels peaking in the boundary layer
and those at the top of the atmosphere indicates a significant correlation
for the retrieved values at these levels. Typical full-width at half maximum
(FWHM) of these curves is approximately 5–8 km. The retrieved CO values at
both top and bottom are also influenced by CO at mid-levels and by the a
priori CO profile at all pressure levels. The averaging kernels also
describe the relative contributions, to the CO VMR retrieved at a given
level, of the true and a priori (via <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="bold">I</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="bold">A</mml:mi></mml:mrow></mml:math></inline-formula>) CO profiles at all pressure
levels (Eq. 2). Where the area under the averaging kernel is smaller, the
a priori information in the retrieved CO profile is relatively larger.
MOPITT CO averaging kernels exhibit variability from month to month, season
to season, as well as nighttime to daytime, depending on the atmospheric
temperature profile, surface pressure, and the CO profile itself.</p>
      <p>The vertical coordinate of the MOZAIC-IAGOS climatology profile is in
kilometers above sea level, while the MOPITT a priori profile and averaging
kernels are on pressure levels in hPa. Therefore, before applying the MOPITT
averaging kernels the climatology data were interpolated using NCEP global
pressure profiles that vary as a function of time (month) and latitude, to
the 10 vertical pressure grid levels (1000, 900, 800, 700, 600, 500, 400,
300, 200, and 100 hPa) used by MOPITT. The interpolated profile was then
convolved with the a priori profile and the averaging kernels following Eq. (2) (Emmons et al., 2004). For the atmospheric residual above the maximum
MOZAIC-IAGOS profile altitude, the MOPITT a priori profiles were used.</p>
      <p>In order to compare with these transformed CO profiles, the MOPITT CO
profiles, averaging kernels, and a priori profiles were mapped down from the
original horizontal resolution of 1<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<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in latitude and longitude
to a reduced 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> 5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> grid. Two examples of comparisons of
trajectory-mapped MOZAIC-IAGOS CO profiles with individual (reduced)
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> 5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> MOPITT CO profiles are shown in Fig. 3. The application of
the averaging kernels to the MOZAIC-IAGOS CO profile results in a vertical
transformation which can shift mixing ratios significantly at some levels.
The averaging kernel, for example, identified as “1000” (i.e., surface)
shows how changes to the true CO mixing ratio at all 10 retrieval levels
would each contribute to a change in the retrieved value at the surface at
1000 mbar. The original trajectory-mapped MOZAIC-IAGOS climatology profile
is quite different from the transformed climatology profile and the
departures of the transformed CO mixing ratio from the true mixing ratios
can be as large as 60 ppb at some pressure levels.</p>
      <p>CO total column amounts are retrieved from the MOPITT observations in
addition to the profile retrievals. The retrieved CO total column <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mtext>ret</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
(a scalar) is related to the retrieved profile <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mtext>ret</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
(a vector) through the linear relation
            <disp-formula id="Ch1.E8" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mtext>ret</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mi mathvariant="bold-italic">t</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msup><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mtext>ret</mml:mtext></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where T indicates the transpose operation and <inline-formula><mml:math display="inline"><mml:mi mathvariant="bold-italic">t</mml:mi></mml:math></inline-formula> is the total column
vectors (Emmons et al., 2004; Deeter, 2002). The CO total column averaging kernel can be calculated from the
profile averaging kernels by
            <disp-formula id="Ch1.E9" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi mathvariant="bold-italic">a</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mi mathvariant="bold-italic">t</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msup><mml:mi mathvariant="bold">A</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p>The column operator simply converts the mixing ratio for each retrieval
level to a partial column amount. Using the hydrostatic relation, the
operator <inline-formula><mml:math display="inline"><mml:mi mathvariant="bold-italic">t</mml:mi></mml:math></inline-formula> is expressed as
            <disp-formula id="Ch1.E10" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi mathvariant="bold-italic">t</mml:mi><mml:mo>=</mml:mo><mml:mn>2.120</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mn>13</mml:mn></mml:msup><mml:mi mathvariant="bold">Δ</mml:mi><mml:mi mathvariant="bold-italic">p</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p>Equation (5) is expressed in molecules cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> ppbv<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="bold">Δ</mml:mi><mml:mi mathvariant="bold-italic">p</mml:mi></mml:mrow></mml:math></inline-formula> is the
vector of the thicknesses of the retrieval pressure levels (in hPa) as discussed in the MOPITT Version 5 User's Guide (Deeter, 2011).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>Examples of comparisons of monthly means of the trajectory-mapped
MOZAIC-IAGOS CO profiles, with the corresponding MOPITT averaging kernels, a
priori and retrievals. The left panels of each subplot show the original
trajectory-mapped MOZAIC-IAGOS climatology profile (green, i.e. unsmoothed),
the a priori profile, the transformed trajectory-mapped MOZAIC-IAGOS
climatology profile (red, i.e. smoothed), and the MOPITT-retrieved CO
profile. The right panel show the mean averaging kernels, for different
pressure levels, obtained by averaging all daytime averaging kernels in the
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> 5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude–longitude box centered on the
coordinates indicated.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10263/2016/acp-16-10263-2016-f03.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <title>Validation</title>
      <p>Validation of the trajectory-mapped MOZAIC-IAGOS CO data set product has been
performed by (1) comparing maps constructed using only forward trajectories
against those constructed using only backward trajectories; (2) comparing
profiles for individual airports against those produced by the mapping
method when data from that site are excluded; (3) comparing with global
MOZAIC-IAGOS cruise-level data, which were not included in the
trajectory-mapped data set; and (4) comparing with independent data from the
NOAA aircraft flask sampling program.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Examples of the global distribution, 2001–2012, of
trajectory-mapped MOZAIC-IAGOS CO (ppbv) produced using only backward and
only forward trajectories at 7.5 km a.s.l. Panels correspond to different
seasons: <bold>(a, b)</bold> December–February, <bold>(c, d)</bold> March–May,
<bold>(e, f)</bold> June–August, and <bold>(g, h)</bold> September–November.</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10263/2016/acp-16-10263-2016-f04.png"/>

      </fig>

<?xmltex \hack{\newpage}?>
<sec id="Ch1.S3.SS1">
  <title>Comparison of trajectory-mapped MOZAIC-IAGOS CO profiles</title>
      <p>As a first step in validation of the trajectory-mapped climatology, Figs. 4
and S1 in the Supplement assess the differences between the CO mapping produced using only
backward and only forward trajectories for different seasons using the 7.5 km
level as an example. If chemistry (i.e. local sources or sinks) were a significant source of error then one would expect to see differences between
these maps. In fact, the CO distribution patterns are very similar (Fig. 4).
Differences are most commonly 10 % or less and found to be less than
30 % for almost all cases. They are typically less than 10 % at northern
midlatitudes and less than 20 % in the tropics between <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>30<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude, except in the Pacific and Atlantic oceans
where they can be as large as 30 %. Differences (Fig. S1) also show no
distinct pattern, except for some clustering in areas where the trajectories
are longest and therefore least reliable. As differences between the two
distributions are comparable with the uncertainties of the mean value
estimates and not systematic, it is reasonable to combine forward and
backward mapped values to produce an averaged CO map.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Comparison between trajectory-mapped and in situ profiles</title>
      <p>A good test of an interpolation model is to examine how it performs in areas
where no data are available. Figure 5 compares the trajectory-mapped
climatology profiles at three airport sites (Frankfurt, Germany; Houston,
USA; and Tokyo, Japan) with the average of the MOZAIC-IAGOS data from each
of these sites for May 2001–2012. Houston and Tokyo are not as well
sampled as Frankfurt (Fig. 1). The climatology profiles for each location
were produced by excluding data from that location, but using all other
MOZAIC-IAGOS data.</p>
      <p>Generally, the profiles from the two methods agree very well and the
agreement is especially good in the free troposphere, at altitudes between 2
and 10 km. The magnitude of the differences for most altitudes is well under
20 %.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p>Comparisons of trajectory-mapped MOZAIC-IAGOS CO climatology and
MOZAIC-IAGOS profiles at three sites. The climatology profiles for each
location were produced by excluding data from that location but using all
other MOZAIC-IAGOS data. The horizontal error bar half-length is twice the
standard error of the mean (equivalent to 95 % confidence limits on the
averages when the number of data points  is large).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10263/2016/acp-16-10263-2016-f05.png"/>

        </fig>

      <p>Figure 6 shows seasonally averaged differences, using this method, for a
number of airports with different characteristics. The airport stations that
have been selected in this validation study represent tropical and NH midlatitude locations that are subject to different
meteorological and CO source conditions. Agreement is generally good in the
free troposphere. There are larger differences below 2 km where trajectories
have larger errors predominantly due to complex dispersion and turbulence in
the planetary boundary layer (Stohl and Seibert, 1998). The largest
differences are seen where other sources of data are distant. The smallest
overall bias is seen at Frankfurt, even though the exclusion of Frankfurt
data removes nearly one-third of the total number of profiles. Apparently data
from nearby airports such as Munich (Germany) and Brussels (Belgium) map
accurately to the Frankfurt location. The consistency of these validation
tests suggests that the trajectory-mapped data set provides a reliable
picture of the tropospheric CO distribution.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>Seasonal mean relative biases [2(Clim-MOZAIC)<inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>(Clim<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>MOZAIC)],
expressed in percent, between trajectory-mapped and MOZAIC-IAGOS in situ profiles
for the period from 2001 to 2012. The selected airports are representative of
different meteorological and source conditions across the globe. N, lat, and
lon are the number of profiles, latitude, and longitude of each airport.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10263/2016/acp-16-10263-2016-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <title>Comparison with the MOZAIC-IAGOS in situ for upper troposphere</title>
      <p>We can also compare the trajectory-mapped profile data and MOZAIC-IAGOS in
situ global CO data at cruise altitudes between 8 and 12 km. The right
panels of Fig. 7 show the global seasonal mean (December–February,
March–May, June–August, and September–November) distribution of CO in the
upper troposphere (within 60 hPa below the tropopause) for the period from
2003 to 2011. Elevated CO levels in the upper troposphere are generally seen
over the areas where there is strong biomass burning (Central Africa,
southern Africa, and South America). High CO emissions are observed over
eastern China in MAM primarily due to a rise in coal use (Boden et al.,
2009; Gregg et al., 2008; Tie et al., 2006) and an increasing number of
vehicles (Cai and Xie, 2007).</p>
      <p>The left panels of Fig. 7 show the trajectory-mapped climatology 2001–2012
at altitudes between 7 and 9 km above sea level. The trajectory-mapping
yields more data over the oceans and NH high latitudes. However, both
figures show high CO values in spring in both hemispheres and elevated CO
levels over regions where there are strong sources. Comparable CO values are
noticeable from the figures over the Northern Atlantic Ocean, although the
trajectory-mapped data appear high over high-elevation areas like Greenland
and the Himalayas. This may be due to overcorrection of trajectories for
terrain differences. Overall, the qualitative agreement between the
trajectory-mapped CO and MOZAIC-IAGOS in situ CO cruise data appears very
good, even in remote areas.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p>Global distribution of seasonal mean trajectory-mapped MOZAIC-IAGOS
CO between 7 and 9 km altitudes above sea level for the period from 2001 to
2012. Left: MOZAIC-IAGOS trajectory. Right: MOZAIC-IAGOS cruise altitude.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10263/2016/acp-16-10263-2016-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <title>NOAA CO vertical profiles</title>
      <p>The vertical in situ CO profiles acquired through NOAA's flask sampling
program have been extensively utilized previously for validation of CO
measurements of MOPITT (Emmons et al., 2004, 2009; Deeter et
al., 2010, 2013). Typically 12–15 flask samples are utilized
to derive an in situ profile and a single flask is used to sample air at a
unique altitude, providing in situ measurements from near the ground up to
about 300–350 hPa. The flasks are shipped to the Global Monitoring Division
of NOAA's Earth System Research Laboratory (ESRL) for trace gas analysis.
Details on procedures of sample collection are found in Novelli et al. (1992), Lang et al. (1992), and Conway et al. (1994).</p>
      <p>Figure 8 shows comparisons between NOAA in situ data and the
trajectory-mapped MOZAIC-IAGOS CO climatology for altitude ranges of 0–2,
2–4, 4–6, and 6–8 km. The comparison uses all available flask data (1940
profiles for the period from 2001 to 2012). NOAA CO data points are matched
with the corresponding grid cell (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> 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> 1 km) of the monthly climatology, for the same year and month. If the monthly
CO value for a particular grid cell is missing, the seasonal mean (if it
exists) of the trajectory-mapped CO climatology (2001–2012) is used for the
comparison. Above 2 km agreement is fairly good, considering that the
comparison is between point measurements and monthly averages over a large
volume. The positive bias below 2 km is probably due to the effect of urban
sources of CO since airports are located close to cities. In general,
MOZAIC-IAGOS CO measurements at takeoff and landing are above background.
This “airport effect” decreases rapidly as can be from the figure for
higher altitudes. This decrease is because the aircraft not only ascends
above the boundary layer but also samples over 150–400 km in distance as
the aircraft ascends to, or descends from, cruise altitude.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>CO mixing ratio comparison between trajectory-derived and NOAA flask
data for the period from 2001 to 2012, for four altitude ranges. Bias is
calculated as the mean of the differences in percent,
[2(NOAA-Clim)<inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>(Clim<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>NOAA)], of all data points. The blue line is the line
of best fit, the red line is the <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> line, <inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> is number of data pairs, and
<inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>
is the correlation coefficient. Monthly trajectory-mapped CO data are used
for the comparison or seasonal mean values if the monthly mean value for a
particular grid cell is not available.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10263/2016/acp-16-10263-2016-f08.png"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Trajectory-mapped MOZAIC-IAGOS Versus MOPITT</title>
      <p>This section is devoted to comparing the trajectory-mapped MOZAIC-IAGOS CO
data set with the extensively validated product from the MOPITT instrument
onboard the NASA Terra satellite, which has been operating continuously
since March 2000 (Drummond and Mand, 1996; Edwards et al., 1999). Global
comparison is made for both CO profiles and CO total column for different
time periods.</p>
<sec id="Ch1.S4.SS1">
  <title>Comparison with MOPITT CO profiles</title>
      <p>As described in Sect. 2.4, in order to make a rigorous comparison with
MOPITT data, the climatology profiles are first transformed using the
corresponding MOPITT a priori profiles and averaging kernels via Eq. (2).
Figure 3 shows examples of retrieved CO profiles (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mtext>ret</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, together with the original climatology (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
and the a priori profiles (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.</p>
      <p>When comparing MOPITT CO retrievals and the trajectory-mapped CO profile it
is useful to keep in mind the shapes and magnitudes of the averaging
kernels. For example, the generally broad and weak averaging kernels for the
100 and 1000 mbar levels indicate that a significant fraction of the
information in the retrieval is from the a priori profile and from other
altitudes. Figure 3 also cautions that the transformed trajectory-mapped
MOZAIC-IAGOS CO is closer to both the MOPITT CO retrievals and a priori
profiles when there is less information from the measurement. In the lower
troposphere the MOPITT CO retrieval profile is positively biased (Deeter et
al., 2014), whereas the bias is negative in the upper troposphere. In Fig. 3, we have used only the dayside retrievals from MOPITT as the dayside
retrievals have the maximum information content (Deeter et al., 2004).</p>
      <p>Figure 9 shows comparisons between MOPITT retrievals and the MOZAIC-IAGOS
climatology for global CO data at pressure levels 900, 700, 500, and 300 hPa. The biases and correlations between MOPITT CO VMR and the
CO climatology (after applying the averaging kernels and the a priori
profiles) are indicated in each plot. There are clearly two distinct
clusters of dots in Fig. 9a and b, and the high CO VMR values seen here are
from the tropics, with a very small number from the NH extratropics. Recent
work by Ding et al. (2015) shows the association of enhanced CO in the free
troposphere with the uplifting of CO from biomass burning and anthropogenic
sources.</p>
      <p>MOPITT and trajectory-mapped MOZAIC-IAGOS CO climatology mixing ratios are
well correlated with correlation coefficients of 0.7 or higher for daytime
data over both land and ocean. However, Fig. 9 also reveals significant
biases between MOPITT retrievals and the trajectory-mapped MOZAIC-IAGOS CO
climatology (geometric) altitudes above the 700 hPa pressure level. Although
in Fig. 9 we have chosen to show biases for winter 2001–2012, the same
analysis for other seasons yields similar results.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><caption><p>Comparison results for DJF (December, January, February) 2001–2012.
MOPITT CO retrievals at 900, 700, 500, and 300 hPa are plotted against
trajectory-mapped MOZAIC-IAGOS CO climatology profiles that have been
transformed using the MOPITT averaging kernels and a priori data. The red
line is the <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> line, <inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> denotes the total number of data points, <inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> is
the correlation coefficient, RMS is root mean square error in ppbv, and
Bias is the relative bias between them in percent. In each panel, the different
color dots group different latitude bands: 23.5–66.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S (SH
extratropics), 23.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S–23.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N (tropics), and
23.5–66.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N (NH extratropics). </p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10263/2016/acp-16-10263-2016-f09.png"/>

        </fig>

      <p>These large differences are surprising, since Deeter et al. (2014), who also
use the MOPITT L3 V6 product and NOAA flask data (among other sources),
report biases varying from <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.2 % at 400 hPa to 8.9 % at the surface.
These results are not dissimilar to our comparison in Fig. 8 and would
suggest a difference of about 5 % between MOPITT and the trajectory-mapped
climatology, with the climatology being higher primarily due to the airport
effect. Although the validation data sets are not identical (owing primarily
to incomplete global coverage of the MOZAIC-IAGOS product), the relative bias
of 22 % at 500 hPa seems excessive. In order to eliminate the possibility
that trajectory errors might be contributing to this bias, we have also
compared MOZAIC-IAGOS in situ CO profiles against MOPITT retrievals. As an
example in Fig. 10, we display the comparison between MOZAIC-IAGOS in situ CO
profiles at Frankfurt (Germany) and MOPITT CO retrievals, which have been
regridded to 5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution, over Frankfurt from MOPITT overpasses.
The MOZAIC-IAGOS in situ aircraft CO values have been transformed using the
MOPITT averaging kernels and a priori data, for the period from
December 2001 to December 2012. MOPITT and MOZAIC-IAGOS are again strongly
correlated, and biases at 500 and 300 hPa are large and in fact very
similar in magnitude to those with respect to the trajectory-mapped
MOZAIC-IAGOS CO data set. This implies that the differences at 500 and
300 hPa are not a result of the trajectory mapping.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><caption><p>Same as Fig. 9 but MOPITT CO retrievals are plotted against
MOZAIC-IAGOS CO in situ profiles that have been transformed using the MOPITT
averaging kernels and a priori data. The in situ profiles are monthly means
from 2001 to 2012 (Frankfurt, Germany). Outliers (CO mixing ratios more than
1.5 standard deviations from the mean at each pressure level) have been
removed, which improves the correlation coefficient at 300 hPa but makes no
significant change in other derived parameters.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10263/2016/acp-16-10263-2016-f10.png"/>

        </fig>

      <p>A global comparison between the trajectory-mapped MOZAIC-IAGOS climatology
and MOPITT at 600 hPa is displayed in Fig. 11. As can be seen, both data sets
capture major features of the CO distribution, particularly
anthropogenically polluted (i.e., northeastern China) and biomass burning
(i.e., West Africa, Central Africa, southern Africa, and Central America)
regions. The CO-rich air in the lower troposphere over West Africa, where
biomass burning fires are active, is convectively lifted to the upper
troposphere where it disperses over the African tropics towards the east
coast of South America (Edwards et al., 2003). Over southern Africa and
Southeast Asia, where there are strong sources, and in general at 600 hPa,
higher CO VMRs are found by the MOZAIC-IAGOS mapping than by MOPITT.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><caption><p>Global distribution of the seasonal mean trajectory-mapped
MOZAIC-IAGOS CO climatology (left panels), after transformation with the
MOPITT a priori profiles and averaging kernels matrix, and MOPITT CO
retrievals (right panels). CO mixing ratio (ppbv) as a function of latitude
and longitude at 800 <bold>(a–d)</bold> and 600 <bold>(e–h)</bold> hPa pressure
levels. Data are binned at 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> 5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in latitude and
longitude for the period from 2001 to 2012.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10263/2016/acp-16-10263-2016-f11.png"/>

        </fig>

      <p>Figure S2 shows global maps of percentage differences between MOPITT and the
transformed trajectory-mapped MOZAIC-IAGOS CO climatology at 800 and 600 hPa
pressure levels for DJF and SON 2001–2012. Differences are generally less
than <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>20 % at 800 hPa, with a negligible overall bias, but larger
at 600 hPa, with MOPITT on average 10–20 % lower. Generally, the
comparisons of the CO profiles of the transformed trajectory-mapped
MOZAIC-IAGOS and MOPITT for both grid cells as well as zonal mean for
different latitude bands show a consistent, significant bias: MOPITT is
lower from about 700  to 300 hPa but shows a negligible bias in the
lowermost troposphere. Above 300 hPa, they seem to agree better, although
this may be partly due to the fact that the retrieved CO values in this
region are highly influenced by the MOPITT a priori data for both cases.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <title>Comparison with MOPITT CO total column values</title>
      <p>In the same manner as we have done for the retrieved CO profiles, the
retrievals of CO total column <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mtext>ret</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
may be compared against total column values derived from in situ profiles
<inline-formula><mml:math display="inline"><mml:mi mathvariant="bold-italic">x</mml:mi></mml:math></inline-formula>. Utilizing Eq. (2), the retrievals of the total CO column <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mtext>ret</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
found in Eq. (3) can be rewritten alternatively as
            <disp-formula id="Ch1.E11" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mtext>ret</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="bold-italic">a</mml:mi><mml:mfenced close=")" open="("><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>-</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mi mathvariant="bold-italic">t</mml:mi><mml:mi>T</mml:mi></mml:msup><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the a priori total column value corresponding to
the a priori profile <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mi mathvariant="bold-italic">a</mml:mi></mml:math></inline-formula> is the CO total column averaging
kernel,
and <inline-formula><mml:math display="inline"><mml:mi mathvariant="bold-italic">x</mml:mi></mml:math></inline-formula> is the in situ profile.</p>
      <p>We have calculated the global total CO columns for both the MOZAIC-IAGOS CO
climatology (using the MOPITT a priori and averaging kernels by applying Eq. 6) and for MOPITT CO retrievals and compared different regions of the
globe and different time intervals from 2001 to 2012. For most regions the
MOPITT CO total columns are 10–20 % lower than the trajectory-mapped
MOZAIC-IAGOS CO climatology total columns, with larger differences in high
CO source regions. The SH shows a distinct latitude gradient, which is not
evident in the NH. This is likely related to the existence of major CO
sources in the NH and the absence of large sources of emission in the SH.
Figure 12 shows global total column CO for four seasons. It is clear that
MOPITT and the climatology are similarly able to capture the CO spatial
variability. In NH fall, elevated total column CO is seen over South
America, Southeast Asia, and West Africa, which is due primarily to
agricultural biomass burning in the regions. High total column CO is seen in
all seasons over eastern China, which is one of the major emission regions
in the world. NH total columns are much higher than those
in the SH, and CO is somewhat more abundant in the NH
winter, which is expected due to the lower amounts of OH
that are present in the troposphere in that season. Difference plots for the
CO maps shown Fig. 12 are shown in Fig. S3.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12"><caption><p>Global total column CO from the transformed trajectory-mapped
MOZAIC-IAGOS climatology and MOPITT data for December–February, March–May,
June–August, and September–November 2001–2012. Data are averaged in
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> 5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude–longitude bins.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10263/2016/acp-16-10263-2016-f12.png"/>

        </fig>

      <p>Figure 13 shows scatter plots of retrieved MOPITT CO total columns against the
transformed trajectory-mapped MOZAIC-IAGOS climatology for the same periods
shown in Fig. 12. Correlations are strong except in SON 2001–2012, and
average biases are 12–16 %, with the trajectory MOZAIC-IAGOS higher. The high
bias might be in part associated with the airport effect; however, the
averaging kernels (Fig. 3) are not very sensitive to CO in the boundary
layer.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><caption><p>Global MOPITT CO column retrievals versus transformed
trajectory-mapped MOZAIC-IAGOS CO climatology column for four seasons. The
bias is calculated as the difference for each grid cell,
[2(MOPITT-Clim)<inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>(Clim<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>MOPITT)], averaged over all grid cells. The
blue line is the line of best fit, the red line is the <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> line, and the
correlation coefficient (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, total number of data points (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and root
mean square error (RMS) are indicated.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10263/2016/acp-16-10263-2016-f13.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S5">
  <title>Results</title>
<sec id="Ch1.S5.SS1">
  <title>Global distribution of MOZAIC-IAGOS CO climatology</title>
      <p>Figure 14 shows the monthly mean CO VMR between 4 and 8 km altitude above
sea level for 2001–2012. The climatology is able to capture the CO spatial
variability fairly well: the NH concentrations are much
higher, and the biomass burning peaks are clearly visible for the NH winter
and spring seasons. The climatology shows more abundant CO in the NH during
these seasons. This is due primarily to lower OH levels during the cold
season which permits a longer lifetime for CO, although there also appears
to be an additional source in eastern Asia. Enhanced CO concentration is
observed in the tropical regions where wildfire burning is typical during
January–April, like West Africa and a large part of Central Africa (Sauvage
et al., 2005, 2007). At southern midlatitudes between South America,
southern Africa, and Australia, we observe high CO from September to
November, during the agricultural burning season. Although Fig. 14 shows a
12-year global map, the strong enhanced CO over these regions (West Africa,
South America, and Southeast Asia) is clearly observable as an annual
feature with significant interannual variability.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F14"><caption><p>Global monthly mean CO distribution from the trajectory-mapped
MOZAIC-IAGOS CO VMR as a function of latitude and longitude for
January–December 2001–2012 and altitudes between 4 and 8 km a.s.l. The data
are averaged with a bin size of 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> 5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10263/2016/acp-16-10263-2016-f14.png"/>

        </fig>

</sec>
<sec id="Ch1.S5.SS2">
  <title>Zonal distribution of MOZAIC-IAGOS CO climatology</title>
<sec id="Ch1.S5.SS2.SSS1">
  <title>Seasonal variation</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F15"><caption><p>Zonally averaged monthly variation of CO for the latitude bands
45<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S–45<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 23.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S–23.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
23.5–66.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, and 23.5–66.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, for the period 2001–2012.
CO mixing ratios are shown for altitude ranges 0–2, 2–4, 4–8, and
8–12 km, as well as total column (TC).</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10263/2016/acp-16-10263-2016-f15.png"/>

          </fig>

      <p>As can be seen from Fig. 15, CO shows distinct seasonal cycles in both
hemispheres. In the NH extratropics (Fig. 15c), maximum CO VMR is observed
in February–April following a steady increase during fall and winter. This
is followed by a rapid decrease to the lowest CO levels in July–September.
The decline in summer shows the typical seasonal pattern of CO in the NH,
driven by OH increase during this time (Yurganov et al., 2008; Novelli et
al., 1998). In the SH extratropics (Fig. 15d), CO levels peak in
September–October. This is consistent with previous studies by Novelli et
al. (1998). In the SH, the annual CO maximum is earlier at lower altitudes.
Rinsland et al. (2002) suggested that this phenomenon is associated with the
vertical and horizontal CO dispersion away from the biomass burning region
in the tropics. Moreover, CO shows greater seasonal variability,
particularly at higher altitudes, in the SH than in the NH. The seasonal CO
cycle in the tropics (Fig. 15b) and for latitude band 45<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S–45<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N
(Fig. 15a) both display a July minimum and a secondary maximum in October,
while the primary maximum is in late NH winter/early spring. The CO cycle in
both hemispheres is controlled by seasonal variations of OH (Logan et al.,
1981; Bergamaschi et al., 2000; Novelli et al., 1998) and biomass burning in
the tropics and, to a lesser degree, at boreal latitudes.</p>
      <p>Figure 16 shows zonal mean latitude–time cross-section plots of CO VMR at
2.5, 4.5, 6.5, 8.5, 10.5, and 12.5 km altitudes for the period
2001–2012. The latitude–time cross-section shows the seasonal cycle of zonal
mean CO for different altitudes, as seen in the previous figures, and also
the variation of the interhemispheric CO VMR gradient throughout the year.
The strongest interhemispheric gradient occurs in March, at low altitude,
and the smallest gradients are seen in northern summer. The gradient in NH
spring reverses at higher altitudes and in NH fall, when it is especially
strong, at higher altitudes. Plot 14e and f also clearly show the weak seasonal
cycle in the NH upper troposphere compared to that in the SH.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F16"><caption><p>Seasonal variation of zonal monthly mean trajectory-mapped
MOZAIC-IAGOS CO climatology at 2.5, 4.5, 6.5, 8.5, 10.5, and 12.5 km
altitudes for the period 2001–2012. The zonal mean data are averaged in
5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude intervals.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10263/2016/acp-16-10263-2016-f16.png"/>

          </fig>

</sec>
<sec id="Ch1.S5.SS2.SSS2">
  <title>Vertical distribution</title>
      <p>Figure 17 illustrates the variation of CO with altitude for the seasons in
which we observe maximum CO levels in both the SH and NH (i.e., MAM and
SON). The greatest CO VMRs are found at lower altitudes in both hemispheres,
although CO declines with altitude faster in the NH than the SH. This
results in a decrease in the strength of the interhemispheric gradient (SH
to NH) with altitude. This result is consistent with Edwards et al. (2006),
who suggested that in the absence of continued CO input from the source
regions (i.e., biomass burning in southern Africa and South America), the
aged CO is gradually distributed vertically throughout the troposphere in
the SH. In fact, in regions where there is deep convection this leads to an
enhanced CO concentration in the upper troposphere, as can be seen on the
right-hand side of Fig. 17 and in Fig. 18. Moreover, Liu et al. (2006)
showed large horizontal CO gradients in association with vertical and
horizontal transport of air with different chemical signatures of origin.</p>
      <p>Zonal CO mean vertical profiles for February, April, July, and September,
averaged for 2001–2012 over the latitude bands 23.5–66.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N (NH
extratropics), 23.5–66.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S (SH extratropics), and 23.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S–23.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N (tropics), are shown in Fig. 18. The CO profiles show
seasonal and latitudinal variability primarily in the NH extratropics. The
largest VMRs of CO occur at lower altitudes in the NH extratropics in
February and April but the strong decline with altitude causes CO VMRs to be
higher in the SH at high altitudes than in the NH. The trajectory-mapped CO
in the SH extratropics is mainly representative of the tropics, while in the
NH extratropics there are many CO measurements poleward of 40<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>.
This implies that sampling of the lowermost stratosphere will be more
frequent in the NH than in the SH. In the tropics, CO VMRs show a rapid
decrease with altitude in the lower troposphere but above approximately 4–5 km changes with altitude are minor.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F17"><caption><p>Global distribution of seasonal (the NH spring and fall) mean
trajectory-mapped MOZAIC-IAGOS CO climatology as a function of latitude and
longitude for altitudes 1.5, 3.5, 5.5, 7.5, and 9.5 km a.s.l. The left and
right columns show average CO VMRs for March–April–May and
September–October–November, 2001–2012. The data are averaged with a bin
size of 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> 5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude and longitude.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10263/2016/acp-16-10263-2016-f17.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F18"><caption><p>Monthly mean profiles of CO from the trajectory-mapped MOZAIC-IAGOS
CO climatology for February, April, July, and September, averaged for
2001–2012. The different colors represent CO mean VMR for the latitude bands
23.5–66.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 23.5–66.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, and
23.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S–23.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10263/2016/acp-16-10263-2016-f18.png"/>

          </fig>

</sec>
</sec>
</sec>
<sec id="Ch1.S6">
  <title>Applications</title>
<sec id="Ch1.S6.SS1">
  <title>Global variation and trends of CO</title>
      <p>The smoothed time series of the NH extratropical zonal mean CO VMR at 900,
700, 500, and 300 hPa for the trajectory-mapped MOZAIC-IAGOS data set
2001–2012 is shown in Fig. 19. For purposes of comparison we also show data
from MOPITT and from the mapped MOZAIC-IAGOS data set transformed with the
MOPITT averaging kernels. Gaps in the figure occur whenever one data source
is missing. The gaps in June–July 2001 and August–September 2009 were due to
a cooler failure of the MOPITT instrument. MOZAIC-IAGOS began CO measurement
in December 2001 and there were only partial data available in 2010 and
2011. The observations show an annual late winter or springtime peak in the
NH extratropical zonal CO loading each year, in conjunction with low
wintertime OH levels. The same interannual cycle of CO is captured by both
trajectory-mapped MOZAIC-IAGOS (transformed and untransformed) and MOPITT.
They appear to track short-term changes equally well. However, while all
show a modest decline in the lower troposphere until about 2008–2009 (after
which CO VMR seems to level off), in accordance with the trends found by
Worden et al. (2013), in the upper troposphere MOPITT shows a modest
increase. It also shows a significant bias with respect to the
trajectory-mapped MOZAIC-IAGOS data that decreases with time. Although the
untransformed trajectory-mapped MOZAIC-IAGOS CO values show a significant
difference against the transformed data in the lower troposphere, they seem
to agree well at higher levels. The untransformed trajectory-mapped
MOZAIC-IAGOS data show higher CO levels than MOPITT CO retrievals at all
levels.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F19"><caption><p>Zonally averaged time series of monthly mean CO VMR, at individual
levels and total column, as retrieved by MOPITT and from the
trajectory-mapped MOZAIC-IAGOS CO climatology (untransformed, and transformed
using MOPITT's averaging kernels) for the latitude band
23.5–66.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10263/2016/acp-16-10263-2016-f19.png"/>

        </fig>

      <p>Laken and Shahbaz (2014) found increasing CO trends over widespread regions
of South America, Mexico, Central Africa, Greenland, the eastern Antarctic,
and the entire region of India and China from MOPITT data. The SH
extratropics also show time series similar to those in Fig. 19, but the
negative trend is not as clear as that in the NH due to limited data. The
annual springtime peak in the SH zonal CO loading is visible in all of the
time series. This is predominantly associated with dry season biomass
burning emissions in South America, southern Africa, Southeast Asia, and
northwestern Australia. In later months, the CO resulting from these
emissions is generally destroyed by more active photochemistry during the SH
summer. At these times, the retrieved zonal CO falls to background levels
(around 40–50 ppbv), which are representative of the remote ocean regions
where CO production by methane oxidation is the dominant source (Edwards et
al., 2006). We looked at the time series of the zonal monthly mean of CO VMR
for the tropics. The biases between the MOPITT retrievals and the
trajectory-mapped MOZAIC-IAGOS in general show the same features as for the
extratropics, while the seasonal patterns combine those of the NH and SH
seen in Fig. 19.</p>
      <p>In Fig. S4, we display the monthly mean time series for Frankfurt from
December 2001 to December 2012. These also show significant biases, declining
with time, between MOPITT and the transformed MOZAIC-IAGOS in situ above 700 hPa, in good agreement with the result shown in Fig. 19. Furthermore, MOPITT
shows a modest increase in CO levels in the upper troposphere while
MOZAIC-IAGOS in situ (transformed and untransformed) shows a modest decline,
consistent with Petetin et al. (2015), who report a similar decrease over
Frankfurt. The MOPITT and MOZAIC-IAGOS (transformed and untransformed) CO
values for Frankfurt show the same seasonal patterns as the NH extratropics
(Fig. 19). This comparison suggests that a prominent bias, declining with
time, exists between MOZAIC-IAGOS and MOPITT L3 V6 TIR/NIR products.
<?xmltex \hack{\newpage}?></p>
</sec>
</sec>
<sec id="Ch1.S7" sec-type="conclusions">
  <title>Conclusions</title>
      <p>We have presented a three-dimensional (i.e., latitude, longitude, altitude)
gridded climatology of CO developed by trajectory mapping of global
MOZAIC-IAGOS data. This quasi-global climatology data set offers a complement
to global satellite measurements, at significantly higher vertical
resolution, that facilitates visualization and comparison of different years
and seasons and offers insight into the global variation and trends of CO.
Even though the MOZAIC-IAGOS aircraft data are unevenly distributed both in
time and space across the globe, the trajectory-mapped data set is uniformly
distributed on a 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> 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> 1 km grid. Major
regional features of the global CO distribution are clearly evident in the
CO maps for different seasons and altitudes. The trajectory-mapped CO shows
distinct seasonal cycles with the CO annual maximum occurring in
September–October in the SH, coincident with the tropical biomass burning
season (Rinsland et al., 2002), and in April in the NH, while the tropics
show distinct maxima in January–February and in October. We caution that the
observed result in the SH is obtained from the limited data we have from the
region. The interhemispheric CO gradient is strongest in late winter/early
spring and smallest in northern summer. Time series analysis of the
climatology shows that in the NH and the tropics CO is declining with time.
This is consistent with previous studies using ground-based, aircraft, and
satellite data, such as Petetin et al. (2015), Worden et al. (2013), Laken
and Shahbaz (2014), and Novelli et al. (1998). The consistency of our findings
with those from other global data sets lends increased confidence that the CO
data set derived from trajectory mapping of global MOZAIC-IAGOS data can be
used for CO trend studies at regional and global scales.</p>
      <p>The trajectory-mapped CO data set has been validated by comparing maps
constructed using only forward trajectories and using only backward
trajectories. The two methods show similar global CO distribution patterns.
Differences are most commonly 10 % or less and found to be less than
30 % for almost all cases. They are typically less than 10 % at northern
midlatitudes and less than 20 % in the tropics between <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>30<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude, except in the Pacific and Atlantic oceans
where they can reach as large as 30 %. The data set has also been validated
by comparison against in situ MOZAIC-IAGOS aircraft measurements, where the
data from the validation site are excluded from the trajectory-mapped data.
Although the comparison shows larger differences below 2 km, the profiles
from the two methods agree very well between 2 and 10 km with the magnitude
of differences within 20 %. A further comparison between the
trajectory-mapped result and MOZAIC-IAGOS in situ CO cruise data, which were
not included in the trajectory-mapping, shows that major regional features
of the global CO distribution for different seasons are clearly evident in
both maps and they agree well in regions of overlap. This suggests that the
trajectory-mapped CO data perform well not only near airports but also in
remote areas. Validation was also performed against independent data from
the NOAA aircraft flask sampling program. The results suggest small or
insignificant biases in the upper troposphere but positive biases as large
as 12 % for MOZAIC-IAGOS in the lower troposphere. This is probably due to
the “airport effect”, a sampling bias that occurs because commercial
aircraft operate from large airports near large cities, with typically
elevated CO levels in the boundary layer.</p>
      <p>The trajectory-mapped CO data set has also been extensively compared with
MOPITT retrievals. Between 700 and 300 hPa, a prominent bias, declining with
time, exists between MOZAIC-IAGOS and MOPITT L3 V6 TIR/NIR products.</p>
      <p>This study demonstrates one aspect of the value of the MOZAIC-IAGOS
continuous, long-term, global, vertically resolved in situ measurements.
Such routine commercial aircraft observations provide valuable information
on atmospheric composition that can improve our understanding of global and
regional air quality and the potential impact of greenhouse gases on climate
change. The unique 3-D CO climatology data set presented here has the
potential to be used for time series and trend analysis and provides a
quasi-global view of CO changes and transport as well as interannual
variability. It will also be useful as model initial fields and background
and boundary fields. It will be especially useful as an improved a priori
climatology for satellite data retrieval. The global picture it presents is
also expected to be valuable for comparison and validation of model results.
The data are publicly available at <uri>ftp://es-ee.tor.ec.gc.ca/pub/ftpdt/MOZAIC_output_CO/</uri>.</p>
</sec>
<sec id="Ch1.S8">
  <title>Data availability</title>
      <p>The trajectory-mapped MOZAIC-IAGOS CO climatology data set is publicly available at
<uri>ftp://es-ee.tor.ec.gc.ca/pub/ftpdt/MOZAIC_output_CO/</uri>.
</p>
</sec>

      
      </body>
    <back><app-group>
        <supplementary-material position="anchor"><p><bold>The Supplement related to this article is available online at <inline-supplementary-material xlink:href="http://dx.doi.org/10.5194/acp-16-10263-2016-supplement" xlink:title="zip">doi:10.5194/acp-16-10263-2016-supplement</inline-supplementary-material>.</bold></p></supplementary-material>
        </app-group><ack><title>Acknowledgements</title><p>The authors acknowledge the strong support of the European
Commission, Airbus, and the airlines (Lufthansa, Air France, Austrian, Air
Namibia, Cathay Pacific, Iberia, and China Airlines so far) that carry the
MOZAIC or IAGOS equipment and perform the maintenance since 1994. MOZAIC is
presently funded by INSU-CNRS (France), Météo-France, Université
Paul Sabatier (Toulouse, France), and Research Center Jülich (FZJ,
Jülich, Germany). IAGOS has been additionally funded by the EU projects
IAGOS-DS and IAGOS-ERI. The MOZAIC-IAGOS database is supported by ETHER
(CNES and INSU-CNRS). Data are also available via the Ether web site
<uri>http://www.pole-ether.fr</uri>. We thank the many whose dedication makes such a
data set possible. The MOPITT data were obtained from the NASA Langley
Research Center Atmospheric Science Data Center. We thank R. Draxler and the
NOAA Air Resources Laboratory for the trajectory model HYSPLIT and
NCEP/NCAR for the global meteorological reanalysis data. The first author is
grateful to the Natural Sciences and Engineering Research Council of Canada
(NSERC) and Environment Canada for a research fellowship. Important
discussions with Merritt Deeter regarding MOPITT averaging kernels are much
appreciated. We thank Paul Novelli and Colm Sweeney of NOAA/Earth System
Research Laboratory and Steven Wofsy of Harvard University/School of
Engineering and Applied Sciences for providing the in situ CO
profiles.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>Edited by: R. Müller
<?xmltex \hack{\newline}?>
Reviewed by: three anonymous referees</p></ack><ref-list>
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    </app></app-group></back>
    <!--<article-title-html>Carbon monoxide climatology derived from the trajectory mapping of global
MOZAIC-IAGOS data</article-title-html>
<abstract-html><p class="p">A three-dimensional gridded climatology of carbon monoxide (CO) has been
developed by trajectory mapping of global MOZAIC-IAGOS in situ measurements
from commercial aircraft data. CO measurements made during aircraft ascent
and descent, comprising nearly 41 200 profiles at 148 airports worldwide
from December 2001 to December 2012, are used. Forward and backward
trajectories are calculated from meteorological reanalysis data in order to
map the CO measurements to other locations and so to fill in the spatial
domain. This domain-filling technique employs 15 800 000 calculated
trajectories to map otherwise sparse MOZAIC-IAGOS data into a quasi-global
field. The resulting trajectory-mapped CO data set is archived monthly from
2001 to 2012 on a grid of 5° longitude  ×  5°
latitude  ×  1 km altitude, from the surface to 14 km altitude.</p><p class="p">The mapping product has been carefully evaluated, firstly by comparing maps
constructed using only forward trajectories and using only backward
trajectories. The two methods show similar global CO distribution patterns.
The magnitude of their differences is most commonly 10 % or less and
found to be less than 30 % for almost all cases. Secondly, the method has
been validated by comparing profiles for individual airports with those
produced by the mapping method when data from that site are excluded. While
there are larger differences below 2 km, the two methods agree very well
between 2 and 10 km with the magnitude of biases within 20 %. Finally, the
mapping product is compared with global MOZAIC-IAGOS cruise-level data,
which were not included in the trajectory-mapped data set, and with
independent data from the NOAA aircraft flask sampling program. The
trajectory-mapped MOZAIC-IAGOS CO values show generally good agreement with
both independent data sets.</p><p class="p">Maps are also compared with version 6 data from the Measurements Of
Pollution In The Troposphere (MOPITT) satellite instrument. Both data sets
clearly show major regional CO sources such as biomass burning in Central
and southern Africa and anthropogenic emissions in eastern China. While the
maps show similar features and patterns, and relative biases are small in
the lowermost troposphere, we find differences of  ∼  20 % in
CO volume mixing ratios between 500  and 300 hPa. These upper-tropospheric
biases are not related to the mapping procedure, as almost identical
differences are found with the original in situ MOZAIC-IAGOS data. The total
CO trajectory-mapped MOZAIC-IAGOS column is also higher than the MOPITT CO
total column by 12–16 %.</p><p class="p">The data set shows the seasonal CO cycle over different latitude bands and
altitude ranges as well as long-term trends over different latitude bands.
We observe a decline in CO over the northern hemispheric extratropics and the
tropics consistent with that reported by previous studies using other data
sources.</p><p class="p">We anticipate use of the trajectory-mapped MOZAIC-IAGOS CO data set as an a
priori climatology for satellite retrieval and for air quality model
validation and initialization.</p></abstract-html>
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