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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-17-2189-2017</article-id><title-group><article-title>Ground-based MAX-DOAS observations of tropospheric aerosols, <?xmltex \hack{\newline}?> NO<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, SO<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and HCHO in Wuxi, China, from 2011 to 2014</article-title>
      </title-group><?xmltex \runningtitle{Ground-based MAX-DOAS observations of tropospheric aerosols in Wuxi, China}?><?xmltex \runningauthor{Y.~Wang et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Wang</surname><given-names>Yang</given-names></name>
          <email>y.wang@mpic.de</email>
        <ext-link>https://orcid.org/0000-0002-9828-9871</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Lampel</surname><given-names>Johannes</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7370-9342</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff3 aff4 aff5">
          <name><surname>Xie</surname><given-names>Pinhua</given-names></name>
          <email>phxie@aiofm.ac.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Beirle</surname><given-names>Steffen</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7196-0901</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Li</surname><given-names>Ang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Wu</surname><given-names>Dexia</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wagner</surname><given-names>Thomas</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Max Planck Institute for Chemistry, Mainz, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Institute of Environmental Physics, University of Heidelberg, Heidelberg, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Anhui Institute of Optics and Fine Mechanics, Key laboratory of Environmental Optics and Technology, Chinese Academy of Sciences, Hefei, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>CAS Center for Excellence in Urban Atmospheric Environment, Institute of Urban Environment, Chinese Academy of Sciences, Xiamen, China</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>School of Environmental Science and Optoelectronic Technology, University of Science and Technology of China, <?xmltex \hack{\newline}?> Hefei, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Yang Wang (y.wang@mpic.de) and Pinhua Xie (phxie@aiofm.ac.cn)</corresp></author-notes><pub-date><day>13</day><month>February</month><year>2017</year></pub-date>
      
      <volume>17</volume>
      <issue>3</issue>
      <fpage>2189</fpage><lpage>2215</lpage>
      <history>
        <date date-type="received"><day>1</day><month>April</month><year>2016</year></date>
           <date date-type="rev-request"><day>2</day><month>June</month><year>2016</year></date>
           <date date-type="rev-recd"><day>28</day><month>December</month><year>2016</year></date>
           <date date-type="accepted"><day>15</day><month>January</month><year>2017</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/17/2189/2017/acp-17-2189-2017.html">This article is available from https://acp.copernicus.org/articles/17/2189/2017/acp-17-2189-2017.html</self-uri>
<self-uri xlink:href="https://acp.copernicus.org/articles/17/2189/2017/acp-17-2189-2017.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/17/2189/2017/acp-17-2189-2017.pdf</self-uri>


      <abstract>
    <p>We characterize the temporal variation and vertical distribution of nitrogen
dioxide (NO<inline-formula><mml:math id="M3" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>), sulfur dioxide (SO<inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>), formaldehyde (HCHO) and
aerosol extinction based on long-term multi-axis differential optical
absorption spectroscopy (MAX-DOAS) observations from May 2011 to November 2014
in Wuxi, China. A new inversion algorithm (PriAM) is implemented to
retrieve profiles of the trace gases (TGs) and aerosol extinction (AE) from
the UV spectra of scattered sunlight recorded by the MAX-DOAS instrument. We
investigated two important aspects of the retrieval process. We found that
the systematic seasonal variation of temperature and pressure (which is
regularly observed in Wuxi) can lead to a systematic bias of the retrieved
aerosol profiles (e.g. up to 20 % for the AOD) if it is not explicitly
considered. In this study we take this effect into
account for the first time. We also investigated in detail the reason for the differences of
tropospheric vertical column densities derived from either the geometric approximation or by the
integration of the retrieved profiles, which were reported by earlier
studies. We found that these differences are almost entirely caused by the
limitations of the geometric approximation (especially for high aerosol
loads). The results retrieved from the MAX-DOAS observations are compared
with independent techniques not only under cloud-free sky conditions, but
also under various cloud scenarios. Under most cloudy conditions (except fog
and optically thick clouds), the trace gas results still show good
agreements. In contrast, for the aerosol results, only near-surface AE could
be still well retrieved under cloudy situations.</p>
    <p>After applying a quality control procedure, the MAX-DOAS data are used to
characterize the seasonal, diurnal and weekly variations of NO<inline-formula><mml:math id="M5" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>,
SO<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, HCHO and aerosols. A regular seasonality of the three trace gases
is found, but not for aerosols. Similar annual variations of the profiles of
the trace gases appear in different years. Only NO<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> shows a significant
seasonality of the diurnal variations. Considerable amplitudes of weekly
cycles occur for NO<inline-formula><mml:math id="M8" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, but not for HCHO and aerosols. The
TGs and aerosols show good correlations, especially for HCHO in winter. More
pronounced wind direction dependencies, especially for the near-surface
concentrations, are found for the trace gases than for the aerosols, which
implies that the local emissions from nearby industrial areas (including
traffic emissions) dominate the local pollution, while long-distance
transport might also considerably contribute to the local aerosol levels.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Nitrogen dioxide (NO<inline-formula><mml:math id="M10" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>), sulfur dioxide (SO<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>), and formaldehyde (HCHO)
are important atmospheric constituents which play crucial roles in
tropospheric chemistry (Seinfeld and Pandis, 1998). NO<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is involved in
many chemical cycles such as the formation of tropospheric ozone. NO<inline-formula><mml:math id="M13" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
and SO<inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> can be converted to nitrate and sulfate, respectively, through
the reaction with the OH radical. HCHO is formed mainly from the oxidation
of volatile organic compounds (VOCs). Primary emissions of HCHO could also be
important, especially in industrial regions (Chen et al., 2014). Due to
the short lifetime of HCHO, it can be used as a measure of the level of the
local VOC amount. The VOCs can then eventually be oxidized to form organic
aerosols. NO<inline-formula><mml:math id="M15" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, SO<inline-formula><mml:math id="M16" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and VOCs (marked by HCHO) are essential
precursors of aerosols. During the industrialization and urbanization,
anthropogenic emissions from traffic, heating, industry, and biomass burning
have significantly increased the concentrations of these gases in the
boundary layer in urban areas (Environmental Protection Agency, 1998;
Seinfeld and Pandis, 1998). Nowadays, strong haze pollution events occur
frequently around megacities and urban agglomerations, especially in newly
industrializing countries like China, and have a significant impact on human
health (G. Q. Fu et al., 2014). Recent studies found that in megacities in
different regions of China most aerosol particles are secondary,
e.g. formed through photochemistry of precursor gases during haze pollution
events (Crippa et al., 2014; Huang et al., 2014). Understanding the
temporal variation and spatial distribution of trace gases (TGs) and
aerosols through long-term observations is thus helpful to identify the
dominating pollution sources, distinguish the contribution of transport and
local emissions as well as the relation between aerosols and their
precursors. To accomplish this, a multi-axis differential optical
absorption spectroscopy (MAX-DOAS) instrument was operated from 2011 to 2014
in Wuxi (China).</p>
      <p>Since about 15 years ago, the MAX-DOAS technique has drawn lots of attention
because of the potential to retrieve the vertical distribution of TGs and
aerosols in the troposphere from the scattered sunlight recorded at multiple
elevation angles (Hönninger and Platt, 2002; Bobrowski et al., 2003;
Van Roozendael et al., 2003; Hönninger et al., 2004; Wagner et al., 2004;
Wittrock et al., 2004) using relatively simple and cheap ground-based
instrumentation. Ground-based measurements of TG profiles are complementary
to global satellite observations and allow for inter-comparisons and
validation exercises (Irie et al., 2008; Roscoe et al., 2010; Ma et al.,
2013; Kanaya et al., 2014; Vlemmix et al., 2015a). Using different inversion
approaches, the column densities, vertical profiles and near-surface
concentrations of the TGs and aerosols can be derived and provide additional
information compared to in situ monitoring or satellite observations.</p>
      <p>The tropospheric vertical column density (VCD) of TGs is either derived by
the geometric approximation (e.g. Brinksma et al., 2008) or by integration
of the retrieved concentration profiles (Vlemmix et al., 2015b). The
near-surface concentration can be derived using simplified rapid methods
(Sinreich et al., 2013; Y. Wang et al., 2014) or directly from the derived
profile. The existing profile inversion schemes developed by different
groups can be subdivided into two groups: the “full profile inversion” based
on optimal estimation (OE) theory (Rodgers, 2000; Frieß et al., 2006,
2011; Wittrock, 2006; Irie et al., 2008, 2011; Clémer et al.,
2010; Yilmaz, 2012; Hartl and Wenig, 2013; Wang et al., 2013a, b) and
the so-called parameterization approach using look-up tables (Li et al.,
2010, 2013; Vlemmix et al., 2010, 2011; Wagner et al., 2011). In comparison
with the look-up table methods, the OE-based inversion algorithms are in
principle easily applied to different species, measurement
locations and instruments, but they require radiative transfer simulations
during the inversion and can therefore be computationally expensive for
large data sets. Clémer et al. (2010), Frieß et al. (2011), Kanaya et
al. (2014), Hendrick et al. (2014) and T. Wang et al. (2014) applied their OE
approaches to long-term MAX-DOAS observations in different locations of the
world. The stability and flexibility of the inversion algorithms depend on
the choice of the inversion approach, the iteration scheme and the a priori
constraints (Vlemmix et al., 2015b). Here, good stability means that an
inversion approach is robust with respect to the effects of measurement
noise. Good flexibility means that it can retrieve diverse profile
shapes well. Designing an approach balancing stability and flexibility is quite
important for long-term observations because of the occurrences of various
atmospheric scenarios caused by natural variability and human activities.</p>
      <p>In this study, we use the Levenberg–Marquardt modified Gauss–Newton
numerical procedure (Yilmaz, 2012) with some modifications to optimally
balance stability and flexibility, which will be referred to in the
following as the “<bold>Pr</bold>ofile <bold>i</bold>nversion algorithm of aerosol
extinction and trace gas concentration developed by the <bold>A</bold>nhui Institute
of Optics and Fine Mechanics, Chinese Academy of Sciences (AIOFM, CAS), in
cooperation with <bold>M</bold>ax Planck Institute for Chemistry (MPIC)” (PriAM)
(Wang et al., 2013a, b). The PriAM algorithm joined the
intercomparison exercise of aerosol vertical profiles retrieved from
MAX-DOAS observations, between five inversion algorithms during the Cabauw
Intercomparison Campaign of Nitrogen Dioxide measuring Instruments (CINDI)
in summer 2009 (Frieß et al., 2016). The intercomparison displayed good
agreement of the aerosol extinction (AE) profiles, AODs and near-surface AEs
retrieved by the PriAM algorithm with those by other algorithms and with a
collocated ceilometer instrument, a sun photometer and a humidity-controlled
nephelometer. In this work the PriAM is applied to the long-term MAX-DOAS
observations in Wuxi, China. The retrieved results of NO<inline-formula><mml:math id="M17" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, SO<inline-formula><mml:math id="M18" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>,
HCHO and aerosols are verified by comparisons with several independent data
sets for a period longer than 1 year.</p>
      <p>Under cloudy skies the retrieval algorithm could be subject to large errors
because of the increased complexity of the atmospheric light paths inside
clouds (e.g. Erle et al., 1995; Wagner et al., 1998, 2002, 2004; Winterrath
et al., 1999), which are usually not considered in the forward model.
Previous studies usually either ignored the effects of clouds or simply
discarded cloud-contaminated measurements. However, depending on location
and season, a large fraction of measurements might be affected by clouds,
e.g. about 80 % of all MAX-DOAS measurements in Wuxi (Wang et al., 2015).
We investigate the effect of clouds on the different MAX-DOAS retrieval
results of aerosols and TGs, especially the near-surface concentrations by
comparisons with results from independent techniques under various cloud
scenarios. Information on different cloud scenarios is directly derived from
the MAX-DOAS observations and can thus be assigned to each MAX-DOAS result
without temporal interpolation. Tropospheric TG VCDs are also important for
satellite validation. So far, most studies used the so-called geometric
approximation to derive TG VCDs from MAX-DOAS measurements. However,
considerable systematic discrepancies of tropospheric TG VCDs, derived by the
geometric approximation and by integration of the TG profiles, are already
reported in Hendrick et al. (2015); but which of the two values is closer to
reality remains unclear. It is essential to answer this question in order to
use a trustworthy method to determine the tropospheric TG VCDs. In this
study we show evidence that the dominant error is associated with the
geometric approximation; thus the TG VCDs by integration of the profiles are
used for further studies here. After the series of verification exercises,
the MAX-DOAS results are used to characterize temporal variations and
vertical distributions of aerosols and TGs in Wuxi. The relation between
aerosols and TGs is also discussed.</p>
      <p>The paper is organized as follows: in Sect. 2 the observations and
different steps of the data analysis are described and results are verified.
Moreover, the cloud effect on the retrievals and the errors of the geometric
approximation are discussed. In Sect. 3 we characterize seasonal
variations and inter-annual trends, diurnal variations, weekly cycles and
wind dependencies of the aerosols and TGs. The relation between aerosols and
TGs is also discussed. In Sect. 4 the results are summarized and conclusions are given.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>The MAX-DOAS instrument <bold>(a)</bold> (also the long-path DOAS and the
visibility meter) is operated at the location marked by the red dot in <bold>(b)</bold>
in Wuxi city <bold>(c)</bold>. In <bold>(b)</bold>, the dots with different colours
indicate the positions of different types of emission sources; the green and
orange blocks indicate the urban centre and industrial area, respectively. The
yellow arrow represents the dominant wind direction (north-easterly wind).
The maps of mean tropospheric VCDs of NO<inline-formula><mml:math id="M19" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (from DOMINO version 2), SO<inline-formula><mml:math id="M20" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
(from BIRA, Theys et al., 2015) and HCHO (from BIRA, De Smedt et al., 2015)
derived from OMI observations over eastern China in the period from 2011 to 2014
are shown in <bold>(d)</bold>, in which the triangles indicate the location of Wuxi.</p></caption>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2189/2017/acp-17-2189-2017-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <title>MAX-DOAS measurements</title>
<sec id="Ch1.S2.SS1">
  <title>MAX-DOAS in Wuxi</title>
      <p>A MAX-DOAS instrument developed by AIOFM, shown in Fig. 1a, is located on the
roof of an 11-storey building in Wuxi City (Fig. 1b), China (31.57<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
120.31<inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E, 50 m a.s.l.), at the transition between the urban and
suburban area. The suburban area, with lots of farmlands, is located in the
east, and Taihu Lake is located in the north. The heavily industrialized
area and the urban centre (living and business area) are south-west and
north-west of the MAX-DOAS station, respectively.</p>
      <p>Wuxi city belongs to the Yangtze River delta industrial zone and is located
about 130 km north-west of Shanghai (Fig. 1c). Wuxi is an important
industrial city and has about 6 million inhabitants. Because of the high
population density and high industrial activity, relatively high abundances
of NO<inline-formula><mml:math id="M23" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, SO<inline-formula><mml:math id="M24" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and VOCs are found (Fu et al., 2013). Figure 1d displays
the mean distributions of NO<inline-formula><mml:math id="M25" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Boersma et al., 2011), HCHO (De Smedt et
al., 2010) and SO<inline-formula><mml:math id="M26" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Theys et al., 2015) as derived from the Ozone
Monitoring instrument (OMI) (Levelt et al., 2006). North-west
of Wuxi city, the large industrial zone of the North China Plain is located,
which has even higher pollution loads. The dominant wind is from the
north-east and no significant seasonality is observed (see Fig. S2 in the
Supplement). The meteorological conditions including temperature, relative
humility and wind field are introduced in Sect. 1 of the Supplement.</p>
      <p>The MAX-DOAS instrument was operated by the Wuxi CAS Photonics Co. Ltd from
May 2011 to December 2014. The instrument was pointed to the north and
automatically recorded spectra of UV scattered sunlight at sequences
consisting of five elevation angles (5, 10, 20, 30 and 90<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>). One elevation sequence
scan took about 12 min depending on the received radiance. More details of
the instrument can be found in Wang et al. (2015). During the whole
observation period, the instrument stopped twice: 15 December 2012 to
29 February 2013 and 16 July to 12 August 2013.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <?xmltex \opttitle{Retrievals of the tropospheric profiles of aerosol extinction, NO${}_{{2}}$, SO${}_{{2}}$ and HCHO volume mixing ratios}?><title>Retrievals of the tropospheric profiles of aerosol extinction, NO<inline-formula><mml:math id="M28" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, SO<inline-formula><mml:math id="M29" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and HCHO volume mixing ratios</title>
<sec id="Ch1.S2.SS2.SSS1">
  <title>Retrieval of slant column densities</title>
      <p>The slant column densities (SCDs) of the oxygen dimer (O<inline-formula><mml:math id="M30" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>), NO<inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>,
SO<inline-formula><mml:math id="M32" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and HCHO are retrieved from scattered sunlight spectra measured by
the MAX-DOAS instrument using the DOAS technique (Platt and Stutz, 2008)
implemented by the WINDOAS software (Fayt and van Roozendael, 2001). SCD
represents the TG concentrations integrated along the effective atmospheric
light path. The TG cross sections, wavelength ranges and additional
properties of the DOAS analyses are provided in Table 1. Figure 2 shows
typical DOAS fit examples. We skip data for solar zenith angle (SZAs) larger
than 75<inline-formula><mml:math id="M33" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> because of stronger absorptions of stratospheric species
and a low signal-to-noise ratio. We also skip the data with large root mean
square (RMS) of the residuals and large relative intensity offset (RIO). All
thresholds of the quantities used for filtering the results and the
percentages of screened data of the total number of observations are listed
in Table 2. Detailed discussions of the DOAS fit parameters for each species
can be found in Sect. 2 of the Supplement.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Settings used for the O<inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, SO<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and HCHO DOAS analyses.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Parameter</oasis:entry>  
         <oasis:entry colname="col2">Sources</oasis:entry>  
         <oasis:entry rowsep="1" namest="col3" nameend="col6" align="center">Species </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">O<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">NO<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">SO<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">HCHO</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Fitting</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">351–390 nm</oasis:entry>  
         <oasis:entry colname="col4">351–390 nm</oasis:entry>  
         <oasis:entry colname="col5">307.8–330 nm</oasis:entry>  
         <oasis:entry colname="col6">324.6–359 nm</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">interval</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">NO<inline-formula><mml:math id="M42" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>: Vandaele et al. (1998),</oasis:entry>  
         <oasis:entry colname="col3">X</oasis:entry>  
         <oasis:entry colname="col4">X</oasis:entry>  
         <oasis:entry colname="col5">X (only 294 K)</oasis:entry>  
         <oasis:entry colname="col6">X (only 294 K),</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">220, 294 K</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-corrected<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry rowsep="1" colname="col2"/>  
         <oasis:entry rowsep="1" colname="col3"/>  
         <oasis:entry rowsep="1" colname="col4"/>  
         <oasis:entry rowsep="1" colname="col5"/>  
         <oasis:entry rowsep="1" colname="col6">(10<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mn>17</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">O<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>: Bogumil et al. (2003),</oasis:entry>  
         <oasis:entry colname="col3">X (only 223 K)</oasis:entry>  
         <oasis:entry colname="col4">X (only 223 K)</oasis:entry>  
         <oasis:entry colname="col5">X</oasis:entry>  
         <oasis:entry colname="col6">X (only 223 K)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Cross</oasis:entry>  
         <oasis:entry colname="col2">223 and 243 K</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-corrected<inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">section</oasis:entry>  
         <oasis:entry rowsep="1" colname="col2"/>  
         <oasis:entry rowsep="1" colname="col3"/>  
         <oasis:entry rowsep="1" colname="col4"/>  
         <oasis:entry rowsep="1" colname="col5"/>  
         <oasis:entry rowsep="1" colname="col6">(10<inline-formula><mml:math id="M50" display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">O<inline-formula><mml:math id="M52" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>: Thalman and Volkamer</oasis:entry>  
         <oasis:entry colname="col3">X</oasis:entry>  
         <oasis:entry colname="col4">X</oasis:entry>  
         <oasis:entry colname="col5">X</oasis:entry>  
         <oasis:entry colname="col6">X</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry rowsep="1" colname="col2">(2013), 293 K</oasis:entry>  
         <oasis:entry rowsep="1" colname="col3"/>  
         <oasis:entry rowsep="1" colname="col4"/>  
         <oasis:entry rowsep="1" colname="col5"/>  
         <oasis:entry rowsep="1" colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">SO<inline-formula><mml:math id="M53" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>: Bogumil et al. (2003),</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">X</oasis:entry>  
         <oasis:entry colname="col6">X</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry rowsep="1" colname="col2">293 K</oasis:entry>  
         <oasis:entry rowsep="1" colname="col3"/>  
         <oasis:entry rowsep="1" colname="col4"/>  
         <oasis:entry rowsep="1" colname="col5"/>  
         <oasis:entry rowsep="1" colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">HCHO: Meller and Moortgat</oasis:entry>  
         <oasis:entry colname="col3">X</oasis:entry>  
         <oasis:entry colname="col4">X</oasis:entry>  
         <oasis:entry colname="col5">X</oasis:entry>  
         <oasis:entry colname="col6">X</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">(2000), 293 K</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Ring</oasis:entry>  
         <oasis:entry colname="col2">Two Ring spectra calculated</oasis:entry>  
         <oasis:entry colname="col3">X</oasis:entry>  
         <oasis:entry colname="col4">X</oasis:entry>  
         <oasis:entry colname="col5">X</oasis:entry>  
         <oasis:entry colname="col6">X</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">with DOASIS (Kraus, 2006;</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Wagner et al., 2009)</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Polynomial</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">3</oasis:entry>  
         <oasis:entry colname="col4">3</oasis:entry>  
         <oasis:entry colname="col5">5</oasis:entry>  
         <oasis:entry colname="col6">5</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">degree</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Intensity</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">constant</oasis:entry>  
         <oasis:entry colname="col4">constant</oasis:entry>  
         <oasis:entry colname="col5">constant</oasis:entry>  
         <oasis:entry colname="col6">constant</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">offset</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p><inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> solar <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> correction (Aliwell et al., 2002).</p></table-wrap-foot></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p>Examples of typical DOAS fits of NO<inline-formula><mml:math id="M54" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <bold>(a)</bold>, O<inline-formula><mml:math id="M55" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> <bold>(b)</bold>
and SO<inline-formula><mml:math id="M56" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <bold>(c)</bold> at 11:37 LT on 1 December 2011 as well as HCHO <bold>(d)</bold> at 11:34 LT on
12 July 2012. The fitted dSCDs of NO<inline-formula><mml:math id="M57" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math id="M58" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, SO<inline-formula><mml:math id="M59" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and HCHO are
given in the corresponding subfigures. The black and red curves indicate the
fitted absorption structures and the derived absorption structures from the
measured spectra, respectively.</p></caption>
            <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2189/2017/acp-17-2189-2017-f02.png"/>

          </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p>Different filters and corresponding thresholds applied to the retrieved
SCDs. Also shown are the corresponding fractions of removed data (SZA: solar
zenith angle; RIO: relative intensity offset; RMS: root mean square of the
spectral residual).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:colspec colnum="8" colname="col8" align="center"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry rowsep="1" namest="col1" nameend="col2" align="center">O<inline-formula><mml:math id="M60" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M61" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry rowsep="1" namest="col4" nameend="col5" align="center">SO<inline-formula><mml:math id="M62" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry rowsep="1" namest="col7" nameend="col8" align="center">HCHO </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Filter</oasis:entry>  
         <oasis:entry colname="col2">Percentage</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">Filter</oasis:entry>  
         <oasis:entry colname="col5">Percentage</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">Filter</oasis:entry>  
         <oasis:entry colname="col8">Percentage</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">SZA <inline-formula><mml:math id="M63" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 75<inline-formula><mml:math id="M64" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">6.2 %</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">SZA <inline-formula><mml:math id="M65" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 75<inline-formula><mml:math id="M66" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">5.8 %</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">SZA <inline-formula><mml:math id="M67" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 75<inline-formula><mml:math id="M68" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">6.1 %</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">RIO <inline-formula><mml:math id="M69" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>  
         <oasis:entry colname="col2">5.6 %</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">RIO <inline-formula><mml:math id="M70" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>  
         <oasis:entry colname="col5">1.1 %</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">RIO <inline-formula><mml:math id="M71" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>  
         <oasis:entry colname="col8">7.1 %</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">RMS <inline-formula><mml:math id="M72" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.003</oasis:entry>  
         <oasis:entry colname="col2">0.3 %</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">RMS <inline-formula><mml:math id="M73" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>  
         <oasis:entry colname="col5">0.2 %</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">RMS <inline-formula><mml:math id="M74" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.003</oasis:entry>  
         <oasis:entry colname="col8">0.2 %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <title>The PriAM algorithm</title>
      <p>Tropospheric vertical profiles of AE and trace gas volume mixing ratios
(VMRs) from the ground up to 4 km are retrieved from the SCDs by using the PriAM
algorithm, which was originally introduced by Wang et al. (2013a, b).
Below we summarize the basic concept of the PriAM algorithm and its specific
settings for this study, while details can be found in Sect. 3 of the
Supplement. Like for other algorithms, a two-step inversion procedure is
used in PriAM. In the first step, profiles of AE are retrieved from the
O<inline-formula><mml:math id="M75" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> differential SCDs (dSCDs). Afterwards, profiles of NO<inline-formula><mml:math id="M76" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, SO<inline-formula><mml:math id="M77" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and HCHO VMRs are retrieved from the respective dSCDs in each
MAX-DOAS elevation sequence. The retrieval problem is solved by the
Levenberg–Marquardt modified Gauss–Newton numerical iteration procedure
(Rodgers, 2000). Considering the frequent variation of aerosols and TGs,
very little is known about the expected profiles. Thus a set of fixed
a priori profiles is used for each species. A smoothed box-shaped a priori
AE profile (Boltzmann distribution) (Yilmaz, 2012), exponential a priori
profiles of NO<inline-formula><mml:math id="M78" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M79" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (similar to Yilmaz, 2012 and Hendrick
et al., 2014), and a Boltzmann distribution a priori HCHO profile (based on
the MAX-DOAS and aircraft measurements in Milan during the summer of 2003
reported in Wagner et al., 2011) are used in this study and denoted by the
black curves in Fig. S8. Besides these standard a priori
profiles, we tested the effect of changing the profile shapes and absolute
values on the fit results. The description of these sensitivity tests is
given in Sect. 3.1 of the Supplement. We conclude that the standard
a priori profiles are well suited to application to the long-term
MAX-DOAS measurements in Wuxi. We also find that improper a priori profiles
can strongly impact the aerosol profile retrievals, but only slightly impact
the TG results.</p>
      <p>PriAM uses the radiative transfer model (RTM) SCIATRAN version 2.2 (Rozanov
et al., 2005). Based on the wavelength intervals of the DOAS fits, the RTM
simulations are done at 370 nm for the retrieval of aerosols and NO<inline-formula><mml:math id="M80" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>,
at 339 nm for HCHO and at 313 nm for SO<inline-formula><mml:math id="M81" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. The surface height and
surface albedo are set as 50 m a.s.l. and 0.05, respectively. The fixed
single scattering albedo of 0.9 and asymmetry factor (Henyey and Greenstein,
1941) of 0.72 are chosen according to average inversion results from the
Taihu AERONET station (see Sect. 2.2.4) from 2011 to 2013 (the data in 2014
is unavailable). The retrieved AE at 370 nm is converted to those
around 313 nm for the SO<inline-formula><mml:math id="M82" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and 339 nm for the HCHO retrieval using
Ångström exponents also derived from the Taihu AERONET data sets.</p>
      <p>In addition, here it should be noted that the Levenberg–Marquardt modified
Gauss–Newton procedure is based on the assumption that the probability
distribution function (PDF) of the atmospheric state (<inline-formula><mml:math id="M83" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula>) can be described
by a Gaussian PDF (<inline-formula><mml:math id="M84" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>) around the a priori state (<inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) (Rodgers, 2000):

                  <disp-formula id="Ch1.E1" content-type="numbered"><mml:math id="M86" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi>ln⁡</mml:mi><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msup><mml:mfenced open="(" close=")"><mml:mi>x</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mfenced><mml:mi>T</mml:mi></mml:msup><mml:msubsup><mml:mi mathvariant="bold">S</mml:mi><mml:mtext>a</mml:mtext><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup><mml:mfenced close=")" open="("><mml:mi>x</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mfenced><mml:mo>+</mml:mo><mml:mi>c</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

            Here <inline-formula><mml:math id="M87" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula> is a constant value and <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">S</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the covariance matrix of the
a priori. Thus the solution can not reach the true state if the PDF of the
atmospheric state (<inline-formula><mml:math id="M89" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula>) is skewed or asymmetric (Rodgers, 2000). In this
study the retrieval of the AE for extremely high aerosol loads (e.g. fog and
haze) belongs to cases, which probably do not fulfil this assumption. In
such cases the AE is underestimated by the inversion (see Sect. 2.2.5).</p>
      <p>The totally averaged averaging kernels (AKs) for retrievals of AE and the
NO<inline-formula><mml:math id="M90" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VMRs for favourable measurement conditions, namely cloud-free sky
with relatively low aerosol loading (the sky condition is directly
identified by MAX-DOAS observations as described in Sect. 2.2.5), are
shown in Fig. 5. AKs for SO<inline-formula><mml:math id="M91" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and HCHO are similar to those of NO<inline-formula><mml:math id="M92" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>.
They indicate that the inversions are sensitive to the layers from the
surface up to 1.5 km. The degrees of freedom (DoF) are about 1.5 for
aerosols (similar to Frieß et al., 2006), 2 for NO<inline-formula><mml:math id="M93" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and 2.3 for
SO<inline-formula><mml:math id="M94" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and HCHO. The detailed discussion of the performance of the profile
retrievals is given in Sect. 3.2 of the Supplement by comparing the
measured and modelled dSCDs for different elevation angles, and comparing
profiles, AKs and retrieval errors in different seasons. In general the
retrievals performed consistently for different elevation angles and seasons.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>Annual variation of surface temperature and surface pressure as well as
fitted 6th-order polynomials in 2012. Also shown are the O<inline-formula><mml:math id="M95" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> VCDs calculated based on
the fitted curves of the measured annual variations of surface temperature and
pressure in 2012 (similar results are found for other years).</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2189/2017/acp-17-2189-2017-f03.png"/>

          </fig>

</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <title>Correcting the effect of the variation of ambient temperature and pressure</title>
      <p>In previous studies (Clémer et al., 2010; Hendrick et al., 2014; T. Wang et
al., 2014), fixed temperature and pressure (TP) profiles are usually used
(e.g. obtained from the US standard summer atmosphere for the measurements
in China). However, for locations with a significant and systematic annual
variation of TP, as in this study, this simplification can affect the
retrieved AODs and AE profiles (and thus also the TG profiles)
systematically, yielding virtual seasonal variations. The time series of TP
near the surface from the weather station near the MAX-DOAS instrument are
shown in Fig. 3 for the year 2012 (similar patterns are found for other
years, see Fig. S16). A regular annual variation of
surface TP is obvious, with amplitudes between winter and summer of about
20 K and 30 hPa, respectively. The O<inline-formula><mml:math id="M96" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> VCDs derived from the fitted curves
of surface TP (the method is described in Sect. 3.3 of the Supplement) is
also shown in Fig. 3. The O<inline-formula><mml:math id="M97" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> VCD in summer is systematically lower than
in winter by about 15 % of the yearly mean O<inline-formula><mml:math id="M98" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> VCD. Ignoring this
systematic seasonal variation can cause a 20–30 % bias of the AOD and
near-surface AE (see Fig. S17). The error of the aerosol
retrieval can further nonlinearly impact the TG profile retrievals. To
account for this effect, the seasonal variation of TP and the O<inline-formula><mml:math id="M99" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> VCD is
parameterized and explicitly considered in the forward model during the
MAX-DOAS retrievals by the PriAM algorithm. Figure 4 shows the AODs
retrieved by PriAM using either explicit TP information or the TP profiles
from the US summer standard atmosphere. The consistency of the AODs
retrieved based on the explicit TP data with the simultaneous Taihu AERONET
level 1.5 AOD data sets (see Sect. 2.2.4) is better than for TP profiles
from the US standard summer atmosphere.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>AODs retrieved from MAX-DOAS observations (using either the US standard
summer TP profile or the explicit TP from measurements) plotted against those
from the Taihu AERONET station for clear-sky conditions. The results of the
linear regressions are shown on top of the diagram.</p></caption>
            <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2189/2017/acp-17-2189-2017-f04.png"/>

          </fig>

      <p><?xmltex \hack{\newpage}?>The systematic variation of TP could also be considerable in many other
locations of the world. A seasonal variation of temperature occurs in many
locations, especially outside the tropics. However, the temporal variation of
the pressure is usually more complex and strongly depends on the location.
The variation of pressure in Wuxi (and also many other parts of eastern
China) is related to the East Asian Monsoon and shows a systematic seasonal
pattern. The monsoon is a general phenomenon in eastern China. The pressure
over the continent is systematically lower and higher than that over the
ocean in summer and winter, respectively. Thus a similar seasonal variation
of the O<inline-formula><mml:math id="M100" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> VCD is expected in general in eastern China.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS4">
  <title>Comparisons with independent data sets under clear skies</title>
      <p>To validate the results from MAX-DOAS observations, the column densities and
averaged concentrations in the lowest layer from 0 to 200 m are compared to
independent measurements:
<list list-type="custom"><list-item><label>a.</label><p>AODs at 380 nm (level 1.5) from the sun photometer at the AERONET (Holben et
al., 1998, 2001) Taihu station. The data are downloaded from the website
of <uri>http://aeronet.gsfc.nasa.gov/</uri>. The AERONET sun photometer is
located 18 km south-west of the MAX-DOAS instrument. AERONET data in the
period from May 2011 to October 2013 are included in the study. In the level 1.5
data, a cloud screening scheme is used to filter most of the cloud-contaminated data (Smirnov et al., 2000). Here it should be noted that
AERONET Taihu station is located in a more remote area in Wuxi city than the
MAX-DOAS instrument. This could contribute to a systematic bias between both
data sets. However, the long residence time of up to several days (Ahmed et
al., 2004) and the relatively homogeneous horizontal distribution of
aerosols (illustrated by the weak dependence of AOD on wind direction; see
Sect. 3.4.2) implies that the differences between both measurements should be small.</p></list-item><list-item><label>b.</label><p>Visibilities near the ground from a forward-scattering visibility meter
(manufacturer: Anhui Landun Photoelectron Co. Ltd. Model: DNQ2
forward-scattering visibility meter) (Wang et al., 2015), which is located
at the same site as the MAX-DOAS instrument. The data from May 2011 to
December 2013 are available.</p></list-item><list-item><label>c.</label><p>NO<inline-formula><mml:math id="M101" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M102" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VMRs (no HCHO data are available) near the ground from
a long-path DOAS (LP-DOAS) instrument (Qin et al., 2006) located at the same
site as the MAX-DOAS instrument. The LP-DOAS is directed to the east with a
total light path length of about 2 km. The data from May 2011 to April 2012
are available.</p></list-item></list></p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p>A totally averaged averaging kernel of aerosol <bold>(a)</bold> and
NO<inline-formula><mml:math id="M103" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <bold>(b)</bold> retrievals for all the MAX-DOAS measurements for clear-sky conditions with low aerosol loading. DoF is the degrees of freedom related
to the averaging kernel.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2189/2017/acp-17-2189-2017-f05.png"/>

          </fig>

      <p>MAX-DOAS results are compared to the available independent measurements
within 15 min time difference. In this section only the data recorded
during clear-sky conditions with low aerosol load (the sky condition is
identified by MAX-DOAS observations as described in Sect. 2.2.5) are
compared (comparisons for different cloud conditions are shown in
Sect. 2.2.5). For the comparisons of AODs, near-surface AE, NO<inline-formula><mml:math id="M104" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M105" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
VMRs, the averaged absolute differences, standard deviations, correlation
coefficients (<inline-formula><mml:math id="M106" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>) (Pearson's product moment correlation coefficient is
applied in this paper) and the slopes and intercepts derived from the linear
regressions are shown in Fig. 6 for the different seasons. The histograms of
the absolute differences in different seasons are shown in Fig. S18.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>Mean absolute differences and standard deviations as well as correlation
coefficients (<inline-formula><mml:math id="M107" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>), slopes and intercepts derived from linear regressions of
the AODs, and near-surface AE, NO<inline-formula><mml:math id="M108" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M109" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VMRs between MAX-DOAS and
independent techniques for different seasons for clear-sky conditions with low
aerosol loads. The corresponding number of data points is shown in the bottom
panel. Different colours denote AOD (compared with the Taihu AERONET level 1.5
data sets), AE (compared with the nearby visibility meter) and NO<inline-formula><mml:math id="M110" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and
SO<inline-formula><mml:math id="M111" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (compared with the nearby long-path DOAS instrument). For calculations
of mean absolute differences, the data derived from independent techniques are
subtracted from those derived from the MAX-DOAS instrument. The data derived
from the MAX-DOAS instrument are plotted against those derived from independent
techniques for linear regressions.</p></caption>
            <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2189/2017/acp-17-2189-2017-f06.png"/>

          </fig>

      <p>For the comparisons of AODs from MAX-DOAS and the AERONET sun photometer, almost
symmetrical Gaussian-shape histograms of the absolute difference are found
for different seasons, except for summer (see Fig. S18a). The
mean differences of AODs are smaller than 0.16 (about 20 % of the average
value). The correlation coefficients are within 0.56 to 0.91 (see Fig. 6).
The highest <inline-formula><mml:math id="M112" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> of 0.91 is found in summer, probably related to the wider
range of AODs covered, but in that season the largest absolute
difference of <inline-formula><mml:math id="M113" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.16 is also found, probably due to the stronger aerosol load than
in other seasons. Underestimation of high aerosol amounts by MAX-DOAS will
be discussed in Sect. 2.2.5. Several previous studies applied a correction
factor to measured O<inline-formula><mml:math id="M114" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> dSCDs to improve the consistency between the AODs
derived from MAX-DOAS and those from AERONET (e.g. Wagner et al., 2009;
Clémer et al., 2010; Frieß et al., 2016). So far there is no good
explanation for this correction factor. In this study we do not apply any
correction factor, because we achieve reasonable consistency between
MAX-DOAS and AERONET results without the application of a correction factor.</p>
      <p>The averaged AE in the lowest layer derived from the MAX-DOAS are compared
with those from the visibility meter. Here it has to be noted that both
instruments do not probe exactly the same air masses: the visibility meter
is sensitive to air masses at the measurement location while the MAX-DOAS is
sensitive to the air masses along the line of sight for up to several
kilometres away from the instrument and up to a few hundred metres above the
ground. Figure S18b shows almost symmetrical
Gaussian-shape histograms of the absolute differences of the AE between the
two techniques. The mean differences are <inline-formula><mml:math id="M115" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.18 km<inline-formula><mml:math id="M116" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (about
33 % of the average value), as shown in Fig. 6. The highest <inline-formula><mml:math id="M117" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> of 0.74 is
found in summer (see Fig. 6), probably related to the wider range of values
and the stronger vertical convection, which causes a higher boundary layer
and possibly a smoother vertical distribution of aerosols than in other
seasons. The worst correlation is found in spring, which might be related to
the occurrence of long-distance transport of dust with elevated aerosol
layers (see Sect. 3.1).</p>
      <p>The VMRs of NO<inline-formula><mml:math id="M118" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M119" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the lowest layer derived from MAX-DOAS
are compared with the values from LP-DOAS measurements for the individual
seasons. Like for the AE, it has to be noted that both instruments do not
probe exactly the same air masses, as the LP-DOAS yields the mean TG
concentration for the light path defined by the set-up of instrument and
reflector. In general the mean absolute differences are smaller than 5 ppb
(about 50 % of the average value) for NO<inline-formula><mml:math id="M120" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and 6 ppb (about 60 % of
the average value) for SO<inline-formula><mml:math id="M121" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (see Fig. 6). Almost symmetrical
Gaussian-shape histograms of the absolute differences are also found for
NO<inline-formula><mml:math id="M122" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M123" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in different seasons (Fig. S18c and d).
The range of <inline-formula><mml:math id="M124" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> is from 0.4 to 0.7 for NO<inline-formula><mml:math id="M125" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and from 0.7
to 0.8 for SO<inline-formula><mml:math id="M126" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in all seasons (see Fig. 6). The higher <inline-formula><mml:math id="M127" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> value for
SO<inline-formula><mml:math id="M128" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> than for NO<inline-formula><mml:math id="M129" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is probably related to the longer lifetime and
thus more homogeneous vertical and horizontal distribution of SO<inline-formula><mml:math id="M130" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
compared to NO<inline-formula><mml:math id="M131" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, especially in the layer from 0 to 200 m. The worst
correlation of NO<inline-formula><mml:math id="M132" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, especially in the afternoon (see Fig. S19),
is found in summer probably because of the low NO<inline-formula><mml:math id="M133" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VMR near
the surface, the small value range and the steep vertical gradient in the
layer from 0 to 200 m (see below). The generally positive absolute
differences of NO<inline-formula><mml:math id="M134" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M135" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> shown in Fig. 6 could be attributed to
strong gradients in the layer from 0 to 200 m as, e.g., found from tower
measurements in Beijing (Meng et al., 2008): they concluded that the largest
values of the NO<inline-formula><mml:math id="M136" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M137" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations are not directly located
at the surface, but at an altitude of about 100 m, especially in
summer. However, it should be noted that the vertical gradients around Wuxi
might be different from those in Beijing and thus other reasons might also
contribute to the observed differences.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p>Histograms of the differences between the measured and modelled dSCDs
of O<inline-formula><mml:math id="M138" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> <bold>(a)</bold>, NO<inline-formula><mml:math id="M139" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <bold>(b)</bold>, SO<inline-formula><mml:math id="M140" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <bold>(c)</bold> and HCHO <bold>(d)</bold> for all
elevation angles. The colour bars show the relative frequencies of the
different sky conditions for each bin (top panels). The grey hollow bars (bottom panels)
represent the relative frequencies of the number of measurements compared to
the total number of observations.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2189/2017/acp-17-2189-2017-f07.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>Mean profiles of aerosol extinctions <bold>(a)</bold>, NO<inline-formula><mml:math id="M141" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VMRs <bold>(c)</bold>,
SO<inline-formula><mml:math id="M142" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VMRs <bold>(e)</bold> and HCHO VMRs <bold>(g)</bold> from all MAX-DOAS observations under
individual sky conditions; <bold>(b, d, f, h)</bold> show the total averaging
kernels of the four species under individual sky conditions.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2189/2017/acp-17-2189-2017-f08.png"/>

          </fig>

</sec>
<sec id="Ch1.S2.SS2.SSS5">
  <title>Evaluations of retrievals under cloudy and strong aerosol conditions</title>
      <p>The retrieval of AE by PriAM from O<inline-formula><mml:math id="M143" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> absorptions is based on a RTM,
which does not include the effects of clouds. In principle it should be
possible to also include cloud effects in the RTM (at least for horizontally
homogenous clouds), but in the current version of our retrieval this is not
yet accomplished. In this section, we investigate how strongly different
types of clouds affect the MAX-DOAS retrieval results of aerosols and TGs.
For that purpose we compare the MAX-DOAS results with independent data sets
for different cloud types. For the characterization of the cloud conditions
we use the cloud classification scheme described in Wang et al. (2015) (based
on the concept of Wagner et al., 2014) to classify the sky conditions from
the MAX-DOAS observations, i.e. radiance, colour index and O<inline-formula><mml:math id="M144" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
absorption. The scheme differentiates between eight primary sky conditions
(varying between clear skies with low aerosol load to continuous cloud
cover) and two secondary sky conditions of fog and optically thick clouds.
In this study we condense the eight primary sky conditions to five primary
conditions by merging two types of cloud holes and two types of continuous
clouds and ignoring the rare condition of “extremely high midday CI” (colour index)(Wang
et al., 2015). The remaining five primary conditions are clear sky with low
aerosol load (“low aerosol”), clear sky with high aerosol load (“high
aerosol”), “cloud holes”, “broken clouds”, and “continuous clouds”.
Please note that “low” and “high” in the marks of sky condition
categories describe the aerosol load but not the aerosol height. Each
MAX-DOAS measurement scan is assigned to one of the five primary sky
conditions. In addition, they can be assigned to the two secondary sky
conditions of “fog” and “optically thick clouds”. Here it should be
clarified that the “fog” sky condition does not exactly belong to the
meteorological definition, but represents a sky condition derived from
MAX-DOAS observations with a low visibility. It should also be noted that
the distinction between “low aerosol” and “high aerosol” conditions is
based on the colour index measured by the MAX-DOAS instrument, but not on
explicit AOD threshold values. The studies of Wang et al. (2015), however,
demonstrated that the AODs observed by the Taihu AERONET sun photometer are
mostly smaller and larger than 0.6 for the “low aerosol” and “high
aerosol”, respectively. In addition to the cloud effect, the effect of
high aerosol loads is also evaluated (due to the unrealistic assumption of the
PDF of the atmospheric state in the OE algorithm for high aerosol loads (see Eq. 1)).</p>
      <p>Firstly, measured and modelled dSCDs (results of the forward model) are
compared under various sky conditions. In Fig. 7 (grey columns), the
histograms of the differences between the measured and modelled dSCDs are
shown for the four species (note that Fig. 7 represents the differences for all
non-zenith elevation angles). The histograms are symmetric and the maximum
probabilities occur around zero for all four species, i.e., overall, there
is no indication for a significant systematic retrieval bias. In the same
figure, the relative frequencies for the different sky conditions are shown
in different colours. In general, for cloudy-sky conditions, especially for
continuous clouds and optically thick clouds, larger discrepancies are found
compared to cloud-free sky conditions. The effect of clouds on the inversion
is stronger for aerosols than for TGs. For the aerosol inversion, more
negative differences are found for “fog”, which indicates that the strong
extinction in “fog” is not well represented by the forward model (the
phenomenon is also found in Fig. 9 and discussed below). To skip those
inverted profiles, which probably differ largely from the real profiles, we
only keep the profiles, for which the differences between measured and
modelled dSCDs are smaller than 2 <inline-formula><mml:math id="M145" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M146" display="inline"><mml:msup><mml:mi/><mml:mn>42</mml:mn></mml:msup></mml:math></inline-formula> molecules<inline-formula><mml:math id="M147" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M148" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
for the O<inline-formula><mml:math id="M149" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> dSCDs (90.6 % of the total observations) and
5 <inline-formula><mml:math id="M150" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M151" display="inline"><mml:msup><mml:mi/><mml:mn>15</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M152" 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> for NO<inline-formula><mml:math id="M153" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (89.8 %), SO<inline-formula><mml:math id="M154" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
(90.4 %), and HCHO dSCDs (97.9 %) for each elevation angle in one elevation sequence.</p>
      <p>After this screening of potentially bad profiles, the mean profiles of AE
and TG mixing ratios as well as the corresponding total AKs (which represent
the sum of all AKs at the individual altitudes) are shown in Fig. 8 for
different sky conditions. While the total AKs differ only slightly, the
resulting profiles are quite different for different sky conditions. There
are two interesting findings for the retrieved profiles: first, for all
cloudy scenarios (including fog), the maximum AE is not found at the surface,
but at higher altitudes, as observed also by Nasse et al. (2015). This can
be explained by the fact that clouds act as a diffusing screen. The effect
on MAX-DOAS observations is that the light paths, especially for low-elevation angles, become longer than for cloud-free conditions.
Consequently, also increased O<inline-formula><mml:math id="M155" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> absorptions are measured for such
conditions. A similar effect can also be caused by elevated aerosol layers.
Since the forward model does not explicitly include clouds, elevated
“cloud-induced” aerosol layers are usually derived in the profile inversion under
cloudy conditions. The diffusing screen effect depends on the cloud optical
thickness. The most pronounced cloud-induced elevated aerosol layers are
retrieved for optically thick clouds.</p>
      <p>Interestingly, for measurements under “fog” conditions, elevated
aerosol layers are also obtained from the MAX-DOAS inversion. This is at first
sight surprising, but can be explained by two aspects: first, for most
measurements classified as “fog”, a weak systematic dependence of
the O<inline-formula><mml:math id="M156" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> dSCDs on elevation angles is still found, indicating that during most
“fog” events the visibility is still not close to zero. Second, for most
of the measurements classified as “fog” the presence of clouds
(including thick and broken clouds) was also detected (Wang et al., 2015). This
finding indicates that, for most observations classified as “fog”,
increased aerosol scattering close to the surface did indeed occur, but at
higher altitudes, even larger extinction was present. We also found a
generally larger value of the cost function under cloudy conditions
(consistent with Fig. 7) and a systematic variation of the TG VCDs and
near-surface VMRs for the different cloud scenarios. Besides measurement
errors, these variations are probably also due to different photolysis rates
and atmospheric dynamics (see Fig. S20).</p>
      <p>In the following we compare the results from MAX-DOAS and other techniques
under different sky conditions. Since the frequencies of different cloud
conditions depend on season (Wang et al., 2015), and the agreement
between MAX-DOAS and other techniques was also found to be different for
different seasons (see Sect. 2.2.4), the comparisons are done for
individual seasons. In Fig. 9 the comparison results in autumn are shown
(similar conclusions are found for other seasons and the relevant figures are
shown in Figs. S21–S24). Based on the comparisons of the
retrieved profiles under different sky conditions (Fig. 8) and the
comparison results with independent data sets (Fig. 9), we have developed
recommendations: under which sky conditions a given data product might
still be useful or should not be used. These recommendations, as
summarized in Table 3, should not be seen as binding, but rather as a
general indication of the usefulness of a given observation, and might
change for improved inversion algorithms in the future.</p>
      <p>In general we find that the aerosol results are more strongly affected by
the presence of clouds than the trace gas results. This is especially true
for the retrieved AOD for which large mean difference and worse correlation
are found under “continuous clouds” (see Fig. 9). The impact of clouds on
the retrieved AE profiles is also significant, as illustrated in Fig. 8a.
Thus we recommend that retrieved AOD and AE profiles (except those close to the
surface) should not be used for cloudy conditions. However, AE close to the
surface can still be well retrieved under most cloudy conditions, except for
“thick clouds” and especially for “fog”, because a significant increase
of the mean difference and decrease of the linear correlation are found for
“fog” (Fig. 9). The TG results are less affected by clouds. No significant
effects of clouds on the profiles of TGs are found, as can be seen in
Fig. 8c, e, and g. Only larger mean differences and worse linear correlations of
the surface mixing ratios are obtained for “thick clouds” and “fog”
(Fig. 9). Thus not only surface mixing ratios, but also TG profiles and
tropospheric VCDs, can still be well retrieved for most cloudy situations
(except for thick clouds and fog). The MAX-DOAS data used in Sect. 3 are
filtered by the recommendations listed in Table 3.</p>
      <p>In comparison with other sky conditions (except for “fog” and “thick clouds”),
outlier values of the mean differences and slopes under “high aerosol”
conditions are found for both aerosols and TGs, as shown in Fig. 9. This
phenomenon could be attributed to two factors: a degraded performance of aerosol
profile retrieval and a reality of vertical distributions of aerosols and
TGs. On the one hand, aerosol profiles with high aerosol loadings could hardly be
well reproduced by the retrieval algorithm due to the constraint of
the a priori profile and the assumption of Eq. (1). This is indicated by the
systematic overestimation of the modelled O<inline-formula><mml:math id="M157" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> dSCDs compared to the
measured O<inline-formula><mml:math id="M158" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> dSCDs as shown in Fig. 7 for “high aerosol” conditions.
On the other hand, a “high aerosol” condition usually indicates a polluted
period; therefore it is reasonable to expect a very different inhomogeneity
of the horizontal and vertical distributions of aerosols and TGs in the
lowest layer (0–200 m) of MAX-DOAS profile retrievals compared to other
relatively clean conditions. Thus different air mass observed by a MAX-DOAS
instrument and other techniques could play a different role under “high
aerosol” conditions. Further studies on the evaluation and improvement of
profile retrievals of MAX-DOAS under heavy aerosol pollution conditions need
to be carried out in the future. In this study, we decide to keep the
MAX-DOAS retrievals under “high aerosol” condition because, despite
their lower reliability, they can still provide useful information.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p>Filter scheme of aerosol and trace gas results derived from MAX-DOAS
observations. Filled circles (<inline-formula><mml:math id="M159" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula>): use of measurement is recommended; Open
circles (<inline-formula><mml:math id="M160" display="inline"><mml:mo>○</mml:mo></mml:math></inline-formula>): use of measurement is not recommended.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:colspec colnum="7" colname="col7" align="center"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">AOD</oasis:entry>  
         <oasis:entry colname="col3">Aerosol</oasis:entry>  
         <oasis:entry colname="col4">Profile of</oasis:entry>  
         <oasis:entry colname="col5">VCD</oasis:entry>  
         <oasis:entry colname="col6">VMR</oasis:entry>  
         <oasis:entry colname="col7">Profile</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">extinction</oasis:entry>  
         <oasis:entry colname="col4">aerosol</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">near</oasis:entry>  
         <oasis:entry colname="col7">of VMRs</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">near</oasis:entry>  
         <oasis:entry colname="col4">extinction</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">surface</oasis:entry>  
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">surface</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Low aerosol</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M161" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M162" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M163" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M164" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M165" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M166" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">High aerosol</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M167" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M168" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M169" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M170" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M171" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M172" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Cloud holes</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M173" display="inline"><mml:mo>○</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M174" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M175" display="inline"><mml:mo>○</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M176" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M177" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M178" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Broken clouds</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M179" display="inline"><mml:mo>○</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M180" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M181" display="inline"><mml:mo>○</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M182" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M183" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M184" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Continuous clouds</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M185" display="inline"><mml:mo>○</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M186" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M187" display="inline"><mml:mo>○</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M188" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M189" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M190" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Fog</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M191" display="inline"><mml:mo>○</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M192" display="inline"><mml:mo>○</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M193" display="inline"><mml:mo>○</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M194" display="inline"><mml:mo>○</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M195" display="inline"><mml:mo>○</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M196" display="inline"><mml:mo>○</mml:mo></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Thick clouds</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M197" display="inline"><mml:mo>○</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M198" display="inline"><mml:mo>○</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M199" display="inline"><mml:mo>○</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M200" display="inline"><mml:mo>○</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M201" display="inline"><mml:mo>○</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M202" display="inline"><mml:mo>○</mml:mo></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p>Mean absolute differences and standard deviations as well as correlation
coefficients (<inline-formula><mml:math id="M203" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>), slopes and intercepts derived from linear regressions of
the AODs, and near-surface AE, NO<inline-formula><mml:math id="M204" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M205" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VMRs between MAX-DOAS and
independent techniques for different sky conditions in autumn. The corresponding
number of data points is shown in the bottom panel. Different colours denote
AOD (compared with the Taihu AERONET level 1.5 data sets), AE (compared with
the nearby visibility meter) and NO<inline-formula><mml:math id="M206" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M207" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (compared with the nearby
long-path DOAS instrument). For calculations of mean absolute differences, the
data derived from independent techniques are subtracted from those derived from
the MAX-DOAS instrument. The data derived from the MAX-DOAS instrument are
plotted against those derived from independent techniques for linear regressions.</p></caption>
            <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2189/2017/acp-17-2189-2017-f09.png"/>

          </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><caption><p>Averaged error budget (in %) of the retrieved TG VCDs and AOD, and
near-surface (0–200 m) TG VMRs and AE. The total uncertainty is calculated
by adding the different error terms in Gaussian error propagation.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry rowsep="1" namest="col2" nameend="col5" align="center">0–200 m </oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry rowsep="1" namest="col7" nameend="col10" align="center">VCD or AOD </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">AE</oasis:entry>  
         <oasis:entry colname="col3">NO<inline-formula><mml:math id="M208" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">SO<inline-formula><mml:math id="M209" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">HCHO</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">AOD</oasis:entry>  
         <oasis:entry colname="col8">NO<inline-formula><mml:math id="M210" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">SO<inline-formula><mml:math id="M211" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10">HCHO</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Smoothing and noise error</oasis:entry>  
         <oasis:entry colname="col2">10</oasis:entry>  
         <oasis:entry colname="col3">12</oasis:entry>  
         <oasis:entry colname="col4">19</oasis:entry>  
         <oasis:entry colname="col5">50</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">6</oasis:entry>  
         <oasis:entry colname="col8">17</oasis:entry>  
         <oasis:entry colname="col9">25</oasis:entry>  
         <oasis:entry colname="col10">50</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Algorithm error</oasis:entry>  
         <oasis:entry colname="col2">4</oasis:entry>  
         <oasis:entry colname="col3">3</oasis:entry>  
         <oasis:entry colname="col4">4</oasis:entry>  
         <oasis:entry colname="col5">4</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">8</oasis:entry>  
         <oasis:entry colname="col8">11</oasis:entry>  
         <oasis:entry colname="col9">10</oasis:entry>  
         <oasis:entry colname="col10">11</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Cross section error</oasis:entry>  
         <oasis:entry colname="col2">5</oasis:entry>  
         <oasis:entry colname="col3">3</oasis:entry>  
         <oasis:entry colname="col4">5</oasis:entry>  
         <oasis:entry colname="col5">9</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">5</oasis:entry>  
         <oasis:entry colname="col8">3</oasis:entry>  
         <oasis:entry colname="col9">5</oasis:entry>  
         <oasis:entry colname="col10">9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Related to temperature dependence of cross section</oasis:entry>  
         <oasis:entry colname="col2">10</oasis:entry>  
         <oasis:entry colname="col3">2</oasis:entry>  
         <oasis:entry colname="col4">3</oasis:entry>  
         <oasis:entry colname="col5">6</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">10</oasis:entry>  
         <oasis:entry colname="col8">2</oasis:entry>  
         <oasis:entry colname="col9">3</oasis:entry>  
         <oasis:entry colname="col10">6</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Related to the aerosol retrieval (only for trace gases)</oasis:entry>  
         <oasis:entry colname="col2">–</oasis:entry>  
         <oasis:entry colname="col3">16</oasis:entry>  
         <oasis:entry colname="col4">16</oasis:entry>  
         <oasis:entry colname="col5">16</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">–</oasis:entry>  
         <oasis:entry colname="col8">15</oasis:entry>  
         <oasis:entry colname="col9">15</oasis:entry>  
         <oasis:entry colname="col10">15</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Total</oasis:entry>  
         <oasis:entry colname="col2">16</oasis:entry>  
         <oasis:entry colname="col3">21</oasis:entry>  
         <oasis:entry colname="col4">26</oasis:entry>  
         <oasis:entry colname="col5">54</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">15</oasis:entry>  
         <oasis:entry colname="col8">25</oasis:entry>  
         <oasis:entry colname="col9">31</oasis:entry>  
         <oasis:entry colname="col10">54</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup>

</oasis:table><?xmltex \hack{\vspace*{2mm}}?></table-wrap>

</sec>
<sec id="Ch1.S2.SS2.SSS6">
  <title>Error budgets</title>
      <p>For the MAX-DOAS results, we derive the error estimates from different
sources. First we estimate the error budgets for the near-surface values and
column densities of the TGs and aerosols, which are summarized in Table 4.
The following error sources are considered:
<list list-type="custom"><list-item><label>a.</label><p>Smoothing and noise errors (fitting error of DOAS fits) on the near-surface
values and column densities are derived from the averaged error of profiles
from the retrievals (shown in Figs. S11b–S14b), and
amount on average to 10 and 6 % for aerosols, 12 and 17 % for
NO<inline-formula><mml:math id="M212" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, 19 and 25 % for SO<inline-formula><mml:math id="M213" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and 50 and 50 % for HCHO, respectively.</p></list-item><list-item><label>b.</label><p>Algorithm errors related to an imperfect minimum of the cost function,
namely the discrepancy between the measured and modelled dSCDs. Based on the
fact that measurements for 5 and 30<inline-formula><mml:math id="M214" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> elevation angles
are sensitive to low and high air layers, respectively, we estimate the
algorithm errors on the near-surface values and the column densities using
the averaged relative differences between measured and modelled dSCDs for
a 5 and 30<inline-formula><mml:math id="M215" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> elevation angle, respectively. These errors
on the near-surface values and the column densities are on average estimated
at 4 and 8 % for aerosols, 3 and 11 % for NO<inline-formula><mml:math id="M216" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, 4 and
10 % for SO<inline-formula><mml:math id="M217" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and 4 and 11 % for HCHO, respectively.</p></list-item><list-item><label>c.</label><p>Cross section errors of O<inline-formula><mml:math id="M218" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> (aerosols), NO<inline-formula><mml:math id="M219" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, SO<inline-formula><mml:math id="M220" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and HCHO
are 5, 3, 5 and 9 %, respectively, according to Thalman and
Volkamer (2013), Vandaele et al. (1998), Bogumil et al. (2003) and Meller
and Moortgat (2000).</p></list-item><list-item><label>d.</label><p>The errors related to the temperature dependence of the cross sections are
estimated in the following way. We first calculate the amplitude changes of
the cross sections per kelvin using two cross sections at two temperatures
from the same data sets. Then the amplitude changes per kelvin are
multiplied by the variation magnitude of the ambient temperature (45 K
during the whole measurement period; see Fig. 3). The corresponding
systematic error of O<inline-formula><mml:math id="M221" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> (aerosols), NO<inline-formula><mml:math id="M222" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, SO<inline-formula><mml:math id="M223" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and HCHO are
estimated to up to 10, 2, 3 and 6 %, respectively.</p></list-item><list-item><label>e.</label><p>The errors of TGs related to the errors of aerosols are estimated at 16 %
for VCDs and 15 % for near-surface VMRs for the three TGs according to the
total error budgets of aerosol retrievals. These estimations are based on a
linear propagation of the aerosol errors on the TG retrievals, which is a
rough assumption. Additional sensitivity tests considering uncertainties on
aerosol properties and profiles should be performed for the different
viewing geometries in order to derive a more realistic error estimate.</p></list-item></list>
The total error budgets on the TGs and aerosols are given by combining all
the above error sources in the bottom row of Table 4. In general the sum of
the smoothing and noise error is the dominant error source in the total
error budget. The error budgets of the profiles also consist of the five
(four for aerosol profiles) error sources. The error (a) depends on the
height, has much larger (relative) error at high altitudes and is shown in
Figs. S11b–S14b. The error (b) can not be realistically
estimated because of the difficulty of assigning discrepancies between
measured and modelled dSCDs to each altitude of the profiles. The errors (c) and (d)
have identical values at all altitudes and are the same as the
estimations for the near-surface values and column densities above. The
error (e) of TG profiles can be estimated as the total error budgets of
aerosol profiles. However, because error (b) is unknown, the error (e) can
not be quantified at the moment.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><caption><p>Relative differences of the tropospheric NO<inline-formula><mml:math id="M224" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (top row panels),
SO<inline-formula><mml:math id="M225" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (middle row panels) and HCHO (bottom row panels) VCDs derived by the
geometric approximation and from the profile inversion (Diff<inline-formula><mml:math id="M226" display="inline"><mml:msub><mml:mi/><mml:mtext>total</mml:mtext></mml:msub></mml:math></inline-formula>,
black dots) as a function of the relative azimuth angle for elevation angles
of 20<inline-formula><mml:math id="M227" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> (left panels) and 30<inline-formula><mml:math id="M228" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> (right panels). Also shown are the differences
caused by the errors of the profile retrieval (Diff<inline-formula><mml:math id="M229" display="inline"><mml:msub><mml:mi/><mml:mtext>inversion</mml:mtext></mml:msub></mml:math></inline-formula>, red
dots) and of the geometric approximation (Diff<inline-formula><mml:math id="M230" display="inline"><mml:msub><mml:mi/><mml:mtext>geometry</mml:mtext></mml:msub></mml:math></inline-formula>, blue dots). Diff<inline-formula><mml:math id="M231" display="inline"><mml:msub><mml:mi/><mml:mtext>total</mml:mtext></mml:msub></mml:math></inline-formula>, Diff<inline-formula><mml:math id="M232" display="inline"><mml:msub><mml:mi/><mml:mtext>inversion</mml:mtext></mml:msub></mml:math></inline-formula>, and Diff<inline-formula><mml:math id="M233" display="inline"><mml:msub><mml:mi/><mml:mtext>geometry</mml:mtext></mml:msub></mml:math></inline-formula>
are calculated by Eqs. (3)–(5) in the text.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2189/2017/acp-17-2189-2017-f10.png"/>

            <?xmltex \hack{\vspace*{2mm}}?>
          </fig>

</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Comparisons between the geometric VCD and the VCD derived from the profile inversion</title>
      <p>The geometric approximation (e.g. Brinksma et al., 2008) is often used to
convert the dSCD for an elevation angle of <inline-formula><mml:math id="M234" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> (dSCD<inline-formula><mml:math id="M235" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">α</mml:mi></mml:msub></mml:math></inline-formula>) to
the tropospheric VCD<inline-formula><mml:math id="M236" display="inline"><mml:msub><mml:mi/><mml:mtext>geo</mml:mtext></mml:msub></mml:math></inline-formula>, as in Eq. (2):
<?xmltex \hack{\newpage}?><?xmltex \hack{\vspace*{-6mm}}?>

                <disp-formula id="Ch1.E2" content-type="numbered"><mml:math id="M237" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mtext>VCD</mml:mtext><mml:mtext>geo</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mtext>dSCD</mml:mtext><mml:mi mathvariant="italic">α</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mi>sin⁡</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">α</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          Elevation angles between about 20 and 30<inline-formula><mml:math id="M238" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> are usually
used for the application of the geometric approximation (e.g. Shaiganfar et
al., 2011; Ma et al., 2013). The tropospheric VCD (VCD<inline-formula><mml:math id="M239" display="inline"><mml:msub><mml:mi/><mml:mtext>pro</mml:mtext></mml:msub></mml:math></inline-formula>) can also be
derived by the vertical integration of the retrieved profiles. The relative
differences (Diff<inline-formula><mml:math id="M240" display="inline"><mml:msub><mml:mi/><mml:mtext>total</mml:mtext></mml:msub></mml:math></inline-formula>) between VCD<inline-formula><mml:math id="M241" display="inline"><mml:msub><mml:mi/><mml:mtext>pro</mml:mtext></mml:msub></mml:math></inline-formula> and VCD<inline-formula><mml:math id="M242" display="inline"><mml:msub><mml:mi/><mml:mtext>geo</mml:mtext></mml:msub></mml:math></inline-formula> for NO<inline-formula><mml:math id="M243" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>,
SO<inline-formula><mml:math id="M244" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and HCHO are calculated by Eq. (3):

                <disp-formula id="Ch1.E3" content-type="numbered"><mml:math id="M245" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mtext>Diff</mml:mtext><mml:mtext>total</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mtext>VCD</mml:mtext><mml:mtext>geo</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>VCD</mml:mtext><mml:mtext>pro</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mtext>VCD</mml:mtext><mml:mtext>pro</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          In Fig. 10, the average relative differences for elevation angles of
20 and 30<inline-formula><mml:math id="M246" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> are shown as a function of the relative
azimuth angle (RAA), i.e. the difference between the azimuth angles of the
sun and the viewing direction of the telescope. In general, the discrepancy
is larger for an elevation angle of 30<inline-formula><mml:math id="M247" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> than for 20<inline-formula><mml:math id="M248" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>.
In addition, an increase of the difference with increasing relative
azimuth angle is also found. Both findings have different magnitudes for the
different TGs. The observed dependencies could be attributed to two reasons:
first, the validity of the geometric approximation is limited, especially if
the last scattering event occurs in the TG layer of interest. The respective
probability depends on the layer height, wavelength, aerosol load and
viewing geometry. A second reason for the observed differences is the
uncertainty of the profile inversion. Some studies already reported
systematic errors of the geometric approximation:
<list list-type="order"><list-item><p>Ma et al. (2013) showed that the systematic error of the NO<inline-formula><mml:math id="M249" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VCDs
calculated by the geometric approximation for an elevation angle of
30<inline-formula><mml:math id="M250" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> is about 20 % on average, which is quite similar with the
values shown in Fig. 10b. Also, the error is larger for larger elevation
angles and larger RAA, which is also consistent with the results shown in
Fig. 10a and b.</p></list-item><list-item><p>The simulation studies for an elevation angle of 22<inline-formula><mml:math id="M251" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in Shaiganfar
et al. (2011) show that the error of the geometric approximation depends on
the layer height of the TGs and aerosols. They found that a higher layer of
TGs leads to a larger negative error. This finding is consistent with the
results shown in Fig. 10e, where the largest biases are found for HCHO, which
has a higher layer height than NO<inline-formula><mml:math id="M252" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M253" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (see Fig. 13).</p></list-item></list>
To identify the dominant error source, we split the total difference (Diff<inline-formula><mml:math id="M254" display="inline"><mml:msub><mml:mi/><mml:mtext>total</mml:mtext></mml:msub></mml:math></inline-formula>)
between VCD<inline-formula><mml:math id="M255" display="inline"><mml:msub><mml:mi/><mml:mtext>geo</mml:mtext></mml:msub></mml:math></inline-formula> and VCD<inline-formula><mml:math id="M256" display="inline"><mml:msub><mml:mi/><mml:mtext>pro</mml:mtext></mml:msub></mml:math></inline-formula>
into two parts: the first part is the difference between
VCD<inline-formula><mml:math id="M257" display="inline"><mml:msub><mml:mi/><mml:mtext>geo</mml:mtext></mml:msub></mml:math></inline-formula> and VCD<inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mtext>geo</mml:mtext><mml:mtext>m</mml:mtext></mml:msubsup></mml:mrow></mml:math></inline-formula>. Here
VCD<inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mtext>geo</mml:mtext><mml:mtext>m</mml:mtext></mml:msubsup></mml:mrow></mml:math></inline-formula> is calculated by applying the geometric approximation to
the modelled dSCD (from the forward model of the profile inversion) for the
same elevation angle. This difference describes the error from the profile
inversion and is referred to as Diff<inline-formula><mml:math id="M260" display="inline"><mml:msub><mml:mi/><mml:mtext>inversion</mml:mtext></mml:msub></mml:math></inline-formula>:

                <disp-formula id="Ch1.E4" content-type="numbered"><mml:math id="M261" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mtext>Diff</mml:mtext><mml:mtext>inversion</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mtext>VCD</mml:mtext><mml:mtext>geo</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msubsup><mml:mtext>VCD</mml:mtext><mml:mtext>geo</mml:mtext><mml:mtext>m</mml:mtext></mml:msubsup></mml:mrow><mml:mrow><mml:msub><mml:mtext>VCD</mml:mtext><mml:mtext>pro</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          The second part is the difference (Diff<inline-formula><mml:math id="M262" display="inline"><mml:msub><mml:mi/><mml:mtext>geometry</mml:mtext></mml:msub></mml:math></inline-formula>) between VCD<inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mtext>geo</mml:mtext><mml:mtext>m</mml:mtext></mml:msubsup></mml:mrow></mml:math></inline-formula> and VCD<inline-formula><mml:math id="M264" display="inline"><mml:msub><mml:mi/><mml:mtext>pro</mml:mtext></mml:msub></mml:math></inline-formula>:
<?xmltex \hack{\newpage}?><?xmltex \hack{\vspace*{-6mm}}?>

                <disp-formula id="Ch1.E5" content-type="numbered"><mml:math id="M265" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mtext>Diff</mml:mtext><mml:mtext>geometry</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mtext>VCD</mml:mtext><mml:mtext>geo</mml:mtext><mml:mtext>m</mml:mtext></mml:msubsup><mml:mo>-</mml:mo><mml:msub><mml:mtext>VCD</mml:mtext><mml:mtext>pro</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mtext>VCD</mml:mtext><mml:mtext>pro</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          Diff<inline-formula><mml:math id="M266" display="inline"><mml:msub><mml:mi/><mml:mtext>geometry</mml:mtext></mml:msub></mml:math></inline-formula> describes the error due to the limitation of the geometric
approximation. Diff<inline-formula><mml:math id="M267" display="inline"><mml:msub><mml:mi/><mml:mtext>inversion</mml:mtext></mml:msub></mml:math></inline-formula> and Diff<inline-formula><mml:math id="M268" display="inline"><mml:msub><mml:mi/><mml:mtext>geometry</mml:mtext></mml:msub></mml:math></inline-formula> are also shown in
Fig. 10 with red and blue colours, respectively. It is found that
Diff<inline-formula><mml:math id="M269" display="inline"><mml:msub><mml:mi/><mml:mtext>inversion</mml:mtext></mml:msub></mml:math></inline-formula> is mostly smaller than 4 % for the 30<inline-formula><mml:math id="M270" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
elevation angle of and smaller than 2 % for the 20<inline-formula><mml:math id="M271" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> elevation
angle. Moreover, the variation of Diff<inline-formula><mml:math id="M272" display="inline"><mml:msub><mml:mi/><mml:mtext>total</mml:mtext></mml:msub></mml:math></inline-formula> along RAA is similar
with Diff<inline-formula><mml:math id="M273" display="inline"><mml:msub><mml:mi/><mml:mtext>geometry</mml:mtext></mml:msub></mml:math></inline-formula>. Both findings clearly indicate that the error due to
the limitation of the geometric approximation is the dominant error
contributing to Diff<inline-formula><mml:math id="M274" display="inline"><mml:msub><mml:mi/><mml:mtext>total</mml:mtext></mml:msub></mml:math></inline-formula>. Moreover, the systematic errors
of the geometric approximation become significant when the aerosol load is
large (see Sect. 4 of the Supplement). Thus in the following, we integrate
the retrieved profiles to extract the respective tropospheric VCD. One point
that needs to be clarified is that the discrepancy of retrieved profile from the
reality does not impact Diff<inline-formula><mml:math id="M275" display="inline"><mml:msub><mml:mi/><mml:mtext>geometry</mml:mtext></mml:msub></mml:math></inline-formula>, although both VCD<inline-formula><mml:math id="M276" display="inline"><mml:msub><mml:mi/><mml:mtext>pro</mml:mtext></mml:msub></mml:math></inline-formula> and
VCD<inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mtext>geo</mml:mtext><mml:mtext>m</mml:mtext></mml:msubsup></mml:mrow></mml:math></inline-formula> for the calculation of Diff<inline-formula><mml:math id="M278" display="inline"><mml:msub><mml:mi/><mml:mtext>geometry</mml:mtext></mml:msub></mml:math></inline-formula> are as a function
of the retrieved profile. Meanwhile Diff<inline-formula><mml:math id="M279" display="inline"><mml:msub><mml:mi/><mml:mtext>inversion</mml:mtext></mml:msub></mml:math></inline-formula> can present the discrepancy well.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results and discussion</title>
      <p>In this section, MAX-DOAS results of column densities, near-surface
concentrations and vertical profiles of aerosols and TGs are shown and
discussed for (a) seasonal variations and inter-annual trends, (b) diurnal
variations and (c) weekly cycles as well as wind dependencies.</p>
<sec id="Ch1.S3.SS1">
  <?xmltex \opttitle{Seasonal variations and inter-annual trends of daytime NO${}_{{2}}$, SO${}_{{2}}$, HCHO and aerosols}?><title>Seasonal variations and inter-annual trends of daytime NO<inline-formula><mml:math id="M280" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, SO<inline-formula><mml:math id="M281" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, HCHO and aerosols</title>
      <p>The time series of monthly-averaged (after daily averaging) TG VCDs and
near-surface VMRs as well as AODs and near-surface AE (all the data are
filtered by the recommended scheme in Table 3) derived from MAX-DOAS
observations are presented in Fig. 11. Also shown are AODs and AE obtained
from AERONET and the visibility meter, respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><caption><p>Seasonal cycle of monthly mean MAX-DOAS results: VCD and AOD <bold>(a)</bold>
and near-surface VMR of NO<inline-formula><mml:math id="M282" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, SO<inline-formula><mml:math id="M283" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and HCHO and AE <bold>(b)</bold> for May 2011
to November 2014. The error bars represent the standard deviations. In addition
to the MAX-DOAS data, AOD and AE from AERONET and the visibility meter are also shown,
respectively. The numbers of available days in each month for MAX-DOAS measurements,
AERONET and the visibility meter are shown in <bold>(c)</bold>. The different numbers
of available AOD and trace gas data derived from MAX-DOAS are caused by the
filtering scheme (see Table 3).</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2189/2017/acp-17-2189-2017-f11.png"/>

        </fig>

      <p>Similar annual variations are found for TG VCDs and near-surface VMRs. The
seasonal cycles of NO<inline-formula><mml:math id="M284" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M285" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> show minimum values (NO<inline-formula><mml:math id="M286" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and
SO<inline-formula><mml:math id="M287" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VCD of 9–17 <inline-formula><mml:math id="M288" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M289" display="inline"><mml:msup><mml:mi/><mml:mn>15</mml:mn></mml:msup></mml:math></inline-formula> and 12–23 <inline-formula><mml:math id="M290" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M291" display="inline"><mml:msup><mml:mi/><mml:mn>15</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M292" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
respectively; NO<inline-formula><mml:math id="M293" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M294" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VMR of 5–11 and
4–11 ppb, respectively) in summer and maximum values (NO<inline-formula><mml:math id="M295" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M296" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
VCD of 27–35 <inline-formula><mml:math id="M297" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M298" display="inline"><mml:msup><mml:mi/><mml:mn>15</mml:mn></mml:msup></mml:math></inline-formula> and 33–54 <inline-formula><mml:math id="M299" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M300" display="inline"><mml:msup><mml:mi/><mml:mn>15</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M301" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
respectively; NO<inline-formula><mml:math id="M302" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M303" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VMR of 12–16 and 14–18 ppb) in winter.
These characteristics are already well known over
urban areas in the eastern China region (Richter et al., 2005; Qi et al.,
2012; Ma et al., 2013; Hendrick et al., 2014; T. Wang et al., 2014). In
contrast, HCHO shows an opposite seasonality compared to NO<inline-formula><mml:math id="M304" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and
SO<inline-formula><mml:math id="M305" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. The HCHO VCD and near-surface VMR are 16–20 <inline-formula><mml:math id="M306" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M307" display="inline"><mml:msup><mml:mi/><mml:mn>15</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M308" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
and 4–6 ppb in summer, respectively, and 7–10 <inline-formula><mml:math id="M309" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M310" display="inline"><mml:msup><mml:mi/><mml:mn>15</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M311" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
and 2–4 ppb in winter, respectively. A similar seasonality of HCHO in the
eastern China region was already reported by De Smedt et al. (2010, 2015).</p>
      <p>For AOD and AE no pronounced seasonal cycle is found. The MAX-DOAS results
mostly reveal similar levels to the other two techniques. Note that the
data in 2014 are neither available from the AERONET Taihu station nor from
the visibility meter. The AOD is typically larger than 0.7 and the AE
typically larger than 0.5 km<inline-formula><mml:math id="M312" 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>. Note that the extremely low values in
July and August of 2013 are unrepresentative because of poor statistics
caused by the temporal shutdown of the instrument (see Fig. 11c).</p>
      <p>The observed seasonal variations of the different species are related to
various processes: the seasonal variation of source emissions, chemical
(trans-) formation and destruction, dry and wet deposition, and atmospheric
transport (Wang et al., 2010; Lin et al., 2011). Different from the column
densities, the near-surface concentrations of all species can be
systematically affected by the seasonality of the boundary layer (BL) height
(Baars et al., 2008). The compression effect of the lower BL height in
winter than in summer systematically increases the near-surface
concentrations.</p>
      <p>The details for the different species are discussed as follows:
<list list-type="order"><list-item><p>NO<inline-formula><mml:math id="M313" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M314" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>: NO<inline-formula><mml:math id="M315" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (rapidly formed from NO<inline-formula><mml:math id="M316" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> after its emission) and SO<inline-formula><mml:math id="M317" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
originate mostly from direct emissions. It is assumed that about 94 % of
total NO<inline-formula><mml:math id="M318" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions in the Wuxi region are from power plants, industrial
fuel combustion, and vehicles (Huang et al., 2011), which emit similar
amounts in different seasons. The contribution of boilers for the seasonal
use of domestic heating to NO<inline-formula><mml:math id="M319" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> is only about 5 % (Huang et al., 2011).
Thus the seasonal variation of the MAX-DOAS results cannot be explained by
the variation of the NO<inline-formula><mml:math id="M320" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions. However, the SO<inline-formula><mml:math id="M321" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions
might vary by about 20 % due to the significant contribution of boilers
(Huang et al., 2011). Because of the short lifetime of NO<inline-formula><mml:math id="M322" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> under urban
pollution (usually a few hours, e.g. Beirle et al., 2011; Liu et al.,
2016), most NO<inline-formula><mml:math id="M323" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> should originate from local emissions (Liu et al.,
2016), and NO<inline-formula><mml:math id="M324" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> long-range transport could be negligible in Wuxi. It
needs to be noted that because of the longer lifetime of NO<inline-formula><mml:math id="M325" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> in winter
(Schaub et al., 2007) than in summer, transport of NO<inline-formula><mml:math id="M326" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> from a nearby
pollution area in winter might play a role on the seasonality of NO<inline-formula><mml:math id="M327" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>.
Due to the large range of SO<inline-formula><mml:math id="M328" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> residence time (from less than 1 h
to 2 weeks and longer in winter than in summer, e.g. Von Glasow et al.,
2009; Lee et al., 2011; Beirle et al., 2014), transport from the highly
polluted regions in the east and north likely plays a role, especially in
winter. Here it is interesting to note that indications for long-range
transport of SO<inline-formula><mml:math id="M329" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> are also found in the elevated SO<inline-formula><mml:math id="M330" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> profiles in
winter, as shown in Fig. 13b. Because of the strong seasonal variation of the
SO<inline-formula><mml:math id="M331" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions due to domestic heating in the north (T. Wang et al.,
2014), long-range transport from these regions could strongly impact the
SO<inline-formula><mml:math id="M332" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> amount in Wuxi in winter, thus contributing to the seasonality. In
conclusion, the seasonality of NO<inline-formula><mml:math id="M333" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> can be mostly attributed to the
removal mechanisms due to the OH radical, which has a minimum in winter and
maximum in summer (Stavrakou et al., 2013). The same removal mechanism could
be partly responsible for SO<inline-formula><mml:math id="M334" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> seasonality (Lee et al., 2011).
Additional heterogeneous reactions (Oppenheimer et al., 1998) might also
play a role. Since we find a high correlation between the NO<inline-formula><mml:math id="M335" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and
SO<inline-formula><mml:math id="M336" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VCDs and near-surface VMRs (see Fig. S26), we
conclude that for SO<inline-formula><mml:math id="M337" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> the seasonality of the removal mechanism is also
the most important factor controlling the seasonality of the SO<inline-formula><mml:math id="M338" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VCDs
and near-surface VMRs.</p></list-item><list-item><p>HCHO: HCHO originates mainly from the oxidation degradation of many VOCs by the OH
radical. But because the OH radical also plays a role in the removal
mechanism of HCHO, the seasonal variation of the OH radical level
contributes to the seasonality of HCHO in a complex way. Apart from the
ubiquitous background levels of HCHO from the methane oxidation, emissions
of non-methane VOCs (NMVOCs) (including HCHO) from biogenic sources, biomass
burning and anthropogenic sources control local HCHO concentrations.
Therefore, in addition to the seasonality of OH, the seasonal
variations of the VOC emissions should also be important factors for the HCHO
seasonality. Firstly, stronger biogenic emissions are expected in the growing
period, namely from spring to autumn. Based on a study in Beijing (Xie et
al., 2008), a relative contribution of biogenic emissions to the total VOC
levels is estimated at about 13 %. Secondly, biomass burning events
frequently occur in May and June (Cheng et al., 2014) in the Wuxi region.
Thirdly, anthropogenic emissions contribute a lot to the VOC amounts.
However, the dominating sources, such as non-combustion industrial processes
and vehicles (Huang et al., 2011), do not show an obvious seasonality. Thus,
their effect on the HCHO seasonality can be probably ignored. Fourth,
biogenic primary emissions of HCHO could be another factor contributing to
the HCHO seasonality due to its significant differences between summer
and winter measurements (Chen et al., 2014).</p></list-item><list-item><p>Aerosols: the local aerosol sources, including primary aerosol emissions and secondary
aerosol formations, and transport of aerosols can in principle both
contribute to the local aerosol amount. The contribution of transported
aerosols has an obvious seasonality: in May and June, the transport from
biomass burning might contribute to up to 37 % of the PM<inline-formula><mml:math id="M339" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> amount
based on a case study in summer 2011 (Cheng et al., 2014). In spring and
autumn, dust storms from Mongolia can reach Wuxi (Liu et al., 2012; X. Fu et
al., 2014; Li et al., 2014). The polluted air from the eastern area (for
example, Shanghai) and northern area (for example Jing–Jin–Ji region)
(Jiang et al., 2015) could also move to Wuxi under appropriate
meteorological conditions (Liu et al., 2012). Haze events frequently occur
in autumn and winter (G. Q. Fu et al., 2014).</p></list-item></list>
The inter-annual trends of TGs and aerosols are presented in Fig. 12.
Because of missing observations in some months and inner-annual variations
of abundances of the species, only data from May to November are used.
SO<inline-formula><mml:math id="M340" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> shows a clear decreasing trend from 2011 to 2014. However, NO<inline-formula><mml:math id="M341" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>,
HCHO and aerosols almost maintain constant amounts.</p>
      <p>The monthly mean profiles of NO<inline-formula><mml:math id="M342" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, SO<inline-formula><mml:math id="M343" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and HCHO (under clear- and cloudy-sky conditions, except for thick clouds and fog) and aerosols (only under
clear-sky conditions) (screened by the scheme in Table 3) are presented in
Fig. 13. The monthly mean TG profiles under clear-sky conditions (see
Fig. S27) are almost identical to those under various sky
conditions except for fog and thick clouds. During all seasons, NO<inline-formula><mml:math id="M344" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> shows
an exponentially decreasing profile (see Fig. 13a). On average the NO<inline-formula><mml:math id="M345" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
VMR at 0.5 km is about half of the near-surface VMR and it rapidly decreases
above 0.5 km to about 2 ppb at 1.5 km. Aircraft measurements of NO<inline-formula><mml:math id="M346" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> in
October 2007 in the Yangtze River Delta region by Geng et al. (2009)
presented similar vertical profiles. The profile shape of NO<inline-formula><mml:math id="M347" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> can be
mostly attributed to its near-surface emission sources and short lifetime.</p>
      <p>The SO<inline-formula><mml:math id="M348" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> layer is found at a higher altitude compared to NO<inline-formula><mml:math id="M349" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (see
Fig. 13b). A more box-like shape up to the altitude of about 0.7 to 1 km is
found in autumn and winter when the SO<inline-formula><mml:math id="M350" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> load is large, and
long-range transport might also effectively contribute to the SO<inline-formula><mml:math id="M351" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> amounts in
Wuxi. In contrast, for the rather small SO<inline-formula><mml:math id="M352" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loads in summer, an
exponential profile shape is found. Similar profile shapes are also obtained
from aircraft measurements during September to October of 2007 over Wuxi
(Xue et al., 2010). One interesting finding is the lofted SO<inline-formula><mml:math id="M353" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> layer at
around 0.7 km in February and March 2012, which is probably related to long-distance transport from a heavily polluted region. This interpretation is
supported by the dominating wind direction (coming from the nearby polluted
area around Shanghai) in March 2012 (see Fig. S28) compared to other years.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12"><caption><p>Mean (May to November) VCDs <bold>(a)</bold> and near-surface VMRs <bold>(b)</bold>
of NO<inline-formula><mml:math id="M354" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, SO<inline-formula><mml:math id="M355" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, HCHO as well as AODs and near-surface aerosol
extinctions <bold>(c)</bold> for each year.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2189/2017/acp-17-2189-2017-f12.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13" specific-use="star"><caption><p>Monthly mean profiles of NO<inline-formula><mml:math id="M356" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <bold>(a)</bold>, SO<inline-formula><mml:math id="M357" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <bold>(b)</bold>,
HCHO <bold>(c)</bold>, VMRs (under clear- and cloudy-sky conditions except for thick
clouds and fog) and aerosol extinction (under clear-sky conditions) <bold>(d)</bold> for
the period from May 2011 to November 2014.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2189/2017/acp-17-2189-2017-f13.png"/>

        </fig>

      <p>In all seasons, the HCHO profile shape consists of three parts (see Fig. 13c):
a decrease from the surface to about 0.3 km, an almost constant value
from about 0.3 km to about 1.1 km, and a steep decrease above. The high
values at the surface are probably caused by primary emissions and rapid
formation from particular VOCs near the surface. Transport of longer-lived
VOCs to higher altitudes and subsequent destruction probably contributes to
the increased values at up to about 1 km. While other measurements of
tropospheric profiles of HCHO are not available around Wuxi, it is still
reasonable to compare our results with the aircraft measurements of HCHO
over Bresso near Milan during the summer of 2003 (Junkermann, 2009; Wagner et
al., 2011) because both of the measurements took place in polluted urban
regions. They found a layer height with high HCHO concentration values of up
to 1 km and the highest values were normally found close to the ground. This
feature is consistent with our results in Wuxi. However, it should be noted
that VMRs of HCHO at high altitudes are strongly constrained by the a priori
profiles because of the low sensitivity of MAX-DOAS retrievals at these
altitudes. More comparison studies with aircraft measurements need to be
done in the future to further quantify the retrieval sensitivities for
elevated layers. Nevertheless we still have confidence in the extended
vertical distribution of HCHO retrieved by MAX-DOAS, for two reasons: (1) Fig. S9
indicates the higher vertical extension can be
partly represented even for using an exponential a priori profile; (2) a
large variability of HCHO VMRs at the altitude around 1km is retrieved from
MAX-DOAS observations. This indicates that the sensitivity of MAX-DOAS
retrievals to the elevated layers is still large enough.</p>
      <p>Figure 13d shows the aerosol profiles representing a box-like shape near the
surface and an exponential decrease above 0.5 to 1 km. The box-like part in
winter is systematically lower than in other seasons, probably due to the
lower BL in winter. Baars et al. (2008) reported such a seasonal dependence
of the top height of the BL obtained from lidar observations in Germany over
a 1-year period. A similar seasonal dependence of the BL can be expected
in Wuxi. From May to October the highest AE is found at an elevated altitude
of up to 0.7 km, especially in 2014. This feature could indicate long-distance transports of aerosols, probably from biomass burning events.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <?xmltex \opttitle{Diurnal variations of NO${}_{{2}}$, SO${}_{{2}}$, HCHO and aerosols}?><title>Diurnal variations of NO<inline-formula><mml:math id="M358" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, SO<inline-formula><mml:math id="M359" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, HCHO and aerosols</title>
      <p>Figure 14 shows the seasonally averaged diurnal variations of TG VCDs and
near-surface VMRs, as well as AODs and near-surface AE from 2011 to 2014. The
morning and afternoon averaged profiles of aerosols and TGs are also shown
in winter and summer, respectively, in Fig. S29. The
diurnal variations can probably be attributed to the complex interaction of
the primary and secondary sources, deposition and atmospheric transport
processes in the BL. The diurnal variation of the BL height (Baars et al.,
2008) can systematically affect the diurnal patterns of near-surface VMRs
and AE, but has almost no impact on the TG VCDs and AOD.</p>
      <p>As seen in Fig. 14a, the seasonality of the diurnal variation of the
NO<inline-formula><mml:math id="M360" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VCDs is quite similar to the MAX-DOAS observations in Beijing (Ma
et al., 2013). They conclude that the phenomenon is probably caused by the
complex interplay of the emission, chemistry and transport, with generally
higher emission rates and a longer NO<inline-formula><mml:math id="M361" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> lifetime in winter. In Fig. 14b,
the SO<inline-formula><mml:math id="M362" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VCD shows almost constant values during the whole day in summer
(with a slight decrease in the afternoon). In winter high values persist
until 13:00 LT and then rapidly decrease. In autumn and spring the highest
values occur around noon. The SO<inline-formula><mml:math id="M363" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> variation mostly happens in the layer
below 0.5 km (see Fig. S29). The variation features are
different from the observations in Beijing (T. Wang et al., 2014), probably
caused by different sources, transport and lifetime at the two locations.
In Fig. 14c it is shown that the HCHO VCDs increase rapidly after sunrise,
with a faster increase in summer. HCHO has a stronger variation at the layer
from 0.5 to 1 km. This diurnal pattern is probably mainly related to the
photochemical formation of HCHO and the VOCs emitted by vehicles and
biogenic emissions (Kesselmeier and Staudt, 1999). In Fig. 14d, similar
relative diurnal variations of AODs and AE are found for the different
seasons. Their diurnal variations can be affected by various factors,
e.g. the diurnal variation of the emission sources, as well as secondary
formation, deposition and dispersion.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F14"><caption><p>Seasonally averaged diurnal variations of trace gas VCDs and AOD (left
panels) and near-surface values (right panels) of NO<inline-formula><mml:math id="M364" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <bold>(a)</bold>,
SO<inline-formula><mml:math id="M365" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <bold>(b)</bold>, HCHO <bold>(c)</bold> and aerosols <bold>(d)</bold> from 2011 to 2014.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2189/2017/acp-17-2189-2017-f14.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <?xmltex \opttitle{Weekly cycles of NO${}_{{2}}$, SO${}_{{2}}$, HCHO and aerosol extinction}?><title>Weekly cycles of NO<inline-formula><mml:math id="M366" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, SO<inline-formula><mml:math id="M367" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, HCHO and aerosol extinction</title>
      <p>In urban areas, anthropogenic sources often control the amounts of
pollutants. Because human activities are usually strongest during the
working days, weekly cycles of NO<inline-formula><mml:math id="M368" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, SO<inline-formula><mml:math id="M369" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, HCHO and aerosols can
provide information on the contributions from natural and anthropogenic
sources (Beirle et al., 2003; Ma et al., 2013). Weekly cycles are found
for NO<inline-formula><mml:math id="M370" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M371" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> as shown in Fig. 15. The relative differences of
the VCDs and near-surface VMRs between the average working-day level (from
Monday to Friday) and the value on Sunday are 11 and 18 % for
NO<inline-formula><mml:math id="M372" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and 13 and 11 % for SO<inline-formula><mml:math id="M373" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, respectively. For HCHO, smaller
weekly cycles (7 % of VCD and 12 % of near-surface VMR) are found. In
contrast, no clear weekend reduction is found for aerosols. The negligible
weekly cycle of aerosols is probably caused by the rather long lifetime of
aerosols and the effect of long-range transport, e.g. from biomass burning
and dust. Figure S30 shows that the diurnal variations of
the three TGs are almost the same on different days of the week, indicating
similar sources during the working days and weekends.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5" specific-use="star"><caption><p>Correlation coefficients between hourly averaged trace gas VCDs and
AODs (for clear-sky conditions) as well as between VMRs and aerosol extinction
near the surface (for clear and cloudy conditions except for thick clouds and fog).
The numbers of the data used for the analyses are given for each season.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="12">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="left"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center">Winter </oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry rowsep="1" namest="col5" nameend="col6" align="center">Spring </oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry rowsep="1" namest="col8" nameend="col9" align="center">Summer </oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry rowsep="1" namest="col11" nameend="col12" align="center">Autumn </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Column</oasis:entry>  
         <oasis:entry colname="col3">Surface</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">Column</oasis:entry>  
         <oasis:entry colname="col6">Surface</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">Column</oasis:entry>  
         <oasis:entry colname="col9">Surface</oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">Column</oasis:entry>  
         <oasis:entry colname="col12">Surface</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Number of</oasis:entry>  
         <oasis:entry colname="col2">375</oasis:entry>  
         <oasis:entry colname="col3">525</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">1339</oasis:entry>  
         <oasis:entry colname="col6">1739</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">1308</oasis:entry>  
         <oasis:entry colname="col9">1830</oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">1142</oasis:entry>  
         <oasis:entry colname="col12">1676</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">observations</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NO<inline-formula><mml:math id="M374" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.51</oasis:entry>  
         <oasis:entry colname="col3">0.69</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">0.37</oasis:entry>  
         <oasis:entry colname="col6">0.58</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">0.48</oasis:entry>  
         <oasis:entry colname="col9">0.63</oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">0.44</oasis:entry>  
         <oasis:entry colname="col12">0.65</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">SO<inline-formula><mml:math id="M375" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.52</oasis:entry>  
         <oasis:entry colname="col3">0.69</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">0.45</oasis:entry>  
         <oasis:entry colname="col6">0.62</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">0.45</oasis:entry>  
         <oasis:entry colname="col9">0.62</oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">0.44</oasis:entry>  
         <oasis:entry colname="col12">0.66</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">HCHO</oasis:entry>  
         <oasis:entry colname="col2">0.77</oasis:entry>  
         <oasis:entry colname="col3">0.81</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">0.51</oasis:entry>  
         <oasis:entry colname="col6">0.62</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">0.35</oasis:entry>  
         <oasis:entry colname="col9">0.62</oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">0.57</oasis:entry>  
         <oasis:entry colname="col12">0.69</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F15" specific-use="star"><caption><p>Mean weekly cycles of VCDs <bold>(a)</bold> and near-surface VMRs <bold>(b)</bold>
of NO<inline-formula><mml:math id="M376" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, SO<inline-formula><mml:math id="M377" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and HCHO as well as the AODs and near-surface AE <bold>(c)</bold>
for all MAX-DOAS observations from 2011 to 2014. The dashed lines denote the
mean values during the working days from Monday to Friday (same colours as for the bars).</p></caption>
          <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2189/2017/acp-17-2189-2017-f15.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <title>Source analysis of the pollutants</title>
<sec id="Ch1.S3.SS4.SSS1">
  <title>Relation between the precursors and aerosols</title>
      <p>Huang et al. (2014) showed that secondary aerosols including organic and
inorganic aerosols (nitrates and sulfates) contribute to about 74 % of the
PM<inline-formula><mml:math id="M378" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> mass collected during high-pollution events in January 2013 at
the urban site of Shanghai. The aerosols in Wuxi (which is close to
Shanghai) are expected to be similarly dominated by secondary aerosol.
NO<inline-formula><mml:math id="M379" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M380" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> are the precursors of secondary inorganic aerosols
through their conversion into nitrates and sulfates, respectively. HCHO can
be used as a proxy for the local amount of VOCs, which are precursors of
secondary organic aerosols (Claeys et al., 2004). To identify the dominant
precursor, we investigated the relationship between aerosols and their
precursors through a correlation study as in Lu et al. (2010), Veefkind et
al. (2011) and T. Wang et al. (2014). Table 5 lists the correlation
coefficients between the TG VCDs and AODs as well as the TG VMRs and AE near
the surface. The correlations of near-surface values are always higher than
those of the column densities. This finding could be probably explained by
the effect of long-range transport, which typically occurs at elevated
layers. For long-range transport, the effect of different atmospheric
lifetimes is especially large, probably leading to weaker correlations
between the aerosol and its precursors. In contrast, close to the surface,
local emissions dominate the concentrations of TG and aerosols, and the
effect of different lifetimes is negligible.</p>
      <p>In general, correlations in spring are the lowest, probably due to the
transport of dust and biomass burning aerosols. The correlations between
aerosols and HCHO are higher in winter than in summer. This finding may be
explained by the fact that anthropogenic emissions dominate the (primary and
secondary) sources of HCHO and aerosols simultaneously in winter. Meanwhile
the correlations between aerosols and HCHO are higher than those between
aerosols and NO<inline-formula><mml:math id="M381" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> or SO<inline-formula><mml:math id="M382" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in winter and autumn. This finding can be
possibly explained by the fact that both HCHO and aerosols are dominated by
secondary sources, while NO<inline-formula><mml:math id="M383" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M384" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> are mostly from primary
emissions in this region.</p>
</sec>
<sec id="Ch1.S3.SS4.SSS2">
  <title>Wind dependence of the pollutants</title>
      <p>The MAX-DOAS station is located on the boundary of urban and suburban areas
as shown in Fig. 1b. Several iron factories, cement factories and petroleum
industries are operated in the south-west industrial area. The industrial
activities and vehicle operations in the industrial area lead to significant
emissions of NO<inline-formula><mml:math id="M385" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, SO<inline-formula><mml:math id="M386" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and VOCs as well as aerosols (Huang et al.,
2011). In the urban centre area, traffic, construction sites and other
anthropogenic emissions emit significant amounts of NO<inline-formula><mml:math id="M387" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and  VOCs as well
as particles. Some factories, such as an oil refinery, are located in the
north-west of the urban centre, emitting pollutants including SO<inline-formula><mml:math id="M388" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and
VOCs. In addition, one power plant located at about 50 km in the north and
the Suzhou city in the south-east direction of the MAX-DOAS station might
contribute to the observed pollutants in Wuxi depending on the meteorological condition.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F16" specific-use="star"><caption><p>Dependencies of VCDs and AODs (left panels) and near-surface VMRs and
AE (right panels) of NO<inline-formula><mml:math id="M389" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <bold>(a)</bold>, SO<inline-formula><mml:math id="M390" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <bold>(b)</bold>, HCHO <bold>(c)</bold>
and aerosols <bold>(d)</bold> on wind direction for individual seasons (different colours).</p></caption>
            <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2189/2017/acp-17-2189-2017-f16.png"/>

          </fig>

      <p>We analysed the distributions of column densities and near-surface values of
the TGs and aerosols for different wind directions in Fig. 16. In principle,
the near-surface pollutants are expected to be dominated by nearby emission
sources, while the column densities can be additionally affected by
transport of pollutants from remote sources. Long-range transport can weaken
the dependence of the column densities on the wind direction because of the
complex trajectories the air masses might have followed. For all four
species, the highest values are observed for south-westerly winds,
especially for the near-surface pollutants. This finding implies that the
industrial area emits large amounts of NO<inline-formula><mml:math id="M391" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, SO<inline-formula><mml:math id="M392" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, VOCs and
aerosols. Figure 16c shows that the HCHO south-west peak is only present in
winter. This finding is probably caused by the fact that, in winter,
anthropogenic sources (of precursors and direct HCHO emissions) dominate the
HCHO amounts, while in other seasons natural sources dominate the HCHO
amounts. Another peak of NO<inline-formula><mml:math id="M393" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M394" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is found in the north-west,
obviously in winter, indicating considerable emissions in the urban centre.
Figure 16d shows a weaker dependence of AODs on the wind direction than the
VCDs of the TGs, which probably indicates the stronger contribution of
long-range transport to the local aerosol levels compared to the TGs. In
addition, for daily-averaged wind speed of smaller than 1 m s<inline-formula><mml:math id="M395" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, the averaged
TG VCDs and near-surface VMRs are higher than those for larger wind speeds
(shown in Fig. S31a and b), indicating that dispersion of local emissions is
more important than the transport from distant sources. For aerosols, a wind-speed dependency is only observed for near-surface AE, but not for AODs (see
Fig. S31c), indicating the higher importance of transport for aerosols than for TGs.</p>
      <p>Although local, this study shows several general important features: (1) the
dependence of the measured TG VMRs on the wind direction indicates that the
dominating sources of the pollution are local, and not from long-range
transport. Also, a strong horizontal gradient appears. Because of the
expected similar lifetime, meteorological conditions and emission sources,
the conclusion could apply to the whole YRD region. (2) The study provides an
example on how to use ground-based MAX-DOAS observations to find strong
emission sources in an urban-sized area. (3) The seasonality of the wind
dependence of the trace gases, especially for HCHO, indicates the different
sources in different seasons.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Conclusions</title>
      <p>The long-term characteristics of the spatial and temporal variation of
NO<inline-formula><mml:math id="M396" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, SO<inline-formula><mml:math id="M397" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, HCHO and aerosols in Wuxi (part of the Yangtze River
delta region) are characterized by automatic MAX-DOAS observations from May 2011
to December 2014. The PriAM OE-based algorithm was applied to the MAX-DOAS
observations to acquire vertical profiles, VCDs (AODs) and near-surface VMRs (AE)
of TGs (aerosols) in the layer from the surface to an altitude of about 4 km.</p>
      <p>The AODs and near-surface AE and the VMRs of NO<inline-formula><mml:math id="M398" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M399" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> from
MAX-DOAS are compared with coincident data sets (for 1 year) obtained by a
sun photometer at the AERONET Taihu station, a nearby visibility meter and a
LP-DOAS, respectively. In general good agreement was found: under clear-sky
conditions, correlation coefficients of 0.56–0.91 for AODs, 0.31–0.71 for
AE, 0.42–0.64 for NO<inline-formula><mml:math id="M400" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VMRs and 0.68–0.81 for SO<inline-formula><mml:math id="M401" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VMRs as well as
the low systematic bias of <inline-formula><mml:math id="M402" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.16–0.029 (<inline-formula><mml:math id="M403" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 20 %) for AODs,
0.05–0.19 km<inline-formula><mml:math id="M404" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M405" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 33 %) for AE, <inline-formula><mml:math id="M406" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.23–5.11 ppb
(<inline-formula><mml:math id="M407" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 50 %) for NO<inline-formula><mml:math id="M408" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VMRs and 1.8–6.1 ppb (<inline-formula><mml:math id="M409" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 60 %) for
SO<inline-formula><mml:math id="M410" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VMRs are found in different seasons.</p>
      <p>Further comparisons were performed for different cloud conditions identified
by the MAX-DOAS cloud classification scheme. For most cloud conditions
(except for optically thick clouds and fog), similar agreement as for clear-sky
conditions is found for the results of near-surface TG VMRs and AE. However,
the AOD results are more strongly affected by clouds and we recommend
only retrieving near-surface AE for cloudy observations. In the presence of
fog and optically thick clouds, no meaningful profile inversions for TGs and
aerosols are possible. Thus for further interpretations, we considered TG
results and near-surface AE for clear- and cloudy-sky conditions (except for fog
and optically thick clouds), but AOD only for clear-sky conditions.</p>
      <p>In this study we also investigated two important aspects of the MAX-DOAS
data analysis: for the first time the effect of the seasonality of
temperature and pressure on the MAX-DOAS retrievals of aerosols was
investigated. Such an effect is especially important for the measurements in
Wuxi, because strong and systematic variations of temperature and pressure
are regularly found. Accordingly the O<inline-formula><mml:math id="M411" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> VCD changes systematically with
seasons, which was in our study for the first time explicitly taken into
account for the aerosol profile retrieval. It was shown that without this
correction, deviations of the AOD of up to 20 % can occur.</p>
      <p>Moreover, we systematically compared trace gas VCDs derived either by the
so-called geometric approximation with those derived by integration of the
derived vertical profiles. Such discrepancies were reported in previous
studies. We could show that the difference between both methods can be
clearly assigned to limitations of the geometric approximation. This error
becomes especially significant when the aerosol load is strong, which is the
situation in most industrialized regions. Thus we conclude that in general
the integration of the retrieved profiles is the more exact way to extract
the tropospheric TG VCDs, and we used this method in this study.</p>
      <p>A prominent seasonality of all TGs is found in agreement with many previous
studies based on satellite and ground-based observations. NO<inline-formula><mml:math id="M412" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and
SO<inline-formula><mml:math id="M413" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> have maxima and minima in winter and summer, respectively, while
HCHO has an opposite seasonality. No pronounced seasonality of aerosols is
found. From 2011 to 2014, only SO<inline-formula><mml:math id="M414" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> shows a clear decreasing trend,
while NO<inline-formula><mml:math id="M415" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, HCHO and aerosol levels stay almost constant.</p>
      <p>Different profile shapes are found for the different species: for NO<inline-formula><mml:math id="M416" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>,
exponentially decreasing profiles with a scale height of about 0.6 km are
observed in different seasons. SO<inline-formula><mml:math id="M417" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> profiles extend to slightly higher
altitudes than NO<inline-formula><mml:math id="M418" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, probably due to the longer lifetime of SO<inline-formula><mml:math id="M419" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>.
Especially in winter, elevated layers of enhanced SO<inline-formula><mml:math id="M420" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> are often found
between about 0.7 and 1 km (especially in early 2012), probably indicating
the importance of long-range transport of SO<inline-formula><mml:math id="M421" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. HCHO reaches up to even
higher altitudes (up to <inline-formula><mml:math id="M422" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 1 km) than NO<inline-formula><mml:math id="M423" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M424" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>,
probably indicating the effect of the secondary formation from VOCs.
However, the largest HCHO VMRs are still typically found near the surface
(like for NO<inline-formula><mml:math id="M425" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M426" 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>. The aerosol profiles typically show
constant values close to the surface (below about 0.5 km), but decrease
exponentially above that layer. Especially in winter, elevated layers
(between 0.5 and 0.7 km) are often observed.</p>
      <p>Different diurnal variations are found for the different species: for the
NO<inline-formula><mml:math id="M427" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VCDs, depending on season, a decrease or increase is found during
the day. For the NO<inline-formula><mml:math id="M428" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VMRs and SO<inline-formula><mml:math id="M429" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VCDs and VMRs, typically a
slight decrease during the day is observed. The diurnal variations of HCHO
and aerosols are more complex and show a pronounced maximum around noon in
summer indicating photochemical production. Systematic weekly cycles occur
for NO<inline-formula><mml:math id="M430" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M431" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> with the maximum values on Thursday or Friday
and minimum values on Sunday, indicating a large contribution of
anthropogenic emissions. In contrast, the amplitudes of the weekly cycles
for HCHO and aerosols are rather small.</p>
      <p>We performed correlation analyses between the different TG results versus
the aerosol results for individual seasons. For all TGs and seasons, positive
correlations (correlation coefficient between 0.12 and 0.65) were found, with
the highest correlations in winter. In general, the highest correlation is
found for HCHO in winter, probably indicating a similar secondary formation
process for both species. In general, higher correlations are found for the
near-surface products (VMRs versus AE) compared to the column products (VCDs versus AOD).</p>
      <p>We found a clear wind direction dependence of TG and aerosols results,
especially for the near-surface concentrations. The dependencies indicate
that the largest sources of the observed pollutants in Wuxi are
anthropogenic emissions from the nearby industrial area (including traffic
emissions). In addition, the obvious lower TG results for high wind speed
than for low wind speed indicate that the dispersion of local emissions is
more important than the transport from distant sources. Interestingly, for
HCHO, a considerable dependence on the wind direction is only observed in
winter, probably indicating significant VOC emissions from natural sources in
the growing seasons.</p>
      <p>The data sets of the TGs and aerosols are also valuable for validating
tropospheric products from satellite observations and chemical transport
models. This study is in progress.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S5">
  <title>Data availability</title>
      <p>The data used for this study are available from the authors upon request.</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-17-2189-2017-supplement" xlink:title="pdf">doi:10.5194/acp-17-2189-2017-supplement</inline-supplementary-material>.</bold><?xmltex \hack{\vspace*{-6mm}}?></p></supplementary-material>
        </app-group><notes notes-type="competinginterests">

      <p>The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p>We thank the Wuxi CAS Photonics Co. Ltd for their
contributions to operating the observations of the MAX-DOAS instrument, the
long-path DOAS instrument, the visibility meter and the weather station in
Wuxi. We thank the Institute of Remote Sensing/Institute of Environmental
Physics, University of Bremen, Bremen, Germany, for their freely accessible
radiative transfer model SCIATRAN. We thank Belgian Institute for Space
Aeronomy (BIRA-IASB), Brussels, Belgium, for their freely accessible WINDOAS
software and generating the mean map of SO<inline-formula><mml:math id="M432" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and HCHO tropospheric VCDs
derived from OMI observations over eastern China. We thank the Goddard Space
Flight Center, NASA, for their freely accessible archive of AERONET data. We
thank Prof. Ma Ronghua in the Nanjing Institute of Geography &amp; Limnology
Chinese Academy of Sciences for his effort to operate the Taihu AERONET
station. We thank the Royal Netherlands Meteorological Institute for their
freely accessible archive of OMI tropospheric NO<inline-formula><mml:math id="M433" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> data. We thank
Trissevgeni Stavrakou in BIRA-IASB, Hang Su and Yafang Cheng in MPIC for
their help interpreting the correlations between aerosols and the trace
gases. This work was supported by Max Planck Society–Chinese Academy of
Sciences Joint Doctoral Promotion Programme, and the National Natural Science
Foundation of China (grant nos.: 41275038 and 41530644) and Monitoring and
Assessment of Regional Air Quality in China using Space Observations,
Project of Long-term Sino-European Co-Operation (MarcoPolo), FP7 (grant no.: 606953). <?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
The article processing charges for this open-access <?xmltex \hack{\newline}?> publication
were covered by the Max Planck Society. <?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: A. Richter <?xmltex \hack{\newline}?>
Reviewed by: two anonymous referees</p></ack><ref-list>
    <title>References</title>

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  </ref-list><app-group content-type="float"><app><title/>

    </app></app-group></back>
    <!--<article-title-html>Ground-based MAX-DOAS observations of tropospheric aerosols,  NO<sub>2</sub>, SO<sub>2</sub> and HCHO in Wuxi, China, from 2011 to 2014</article-title-html>
<abstract-html><p class="p">We characterize the temporal variation and vertical distribution of nitrogen
dioxide (NO<sub>2</sub>), sulfur dioxide (SO<sub>2</sub>), formaldehyde (HCHO) and
aerosol extinction based on long-term multi-axis differential optical
absorption spectroscopy (MAX-DOAS) observations from May 2011 to November 2014
in Wuxi, China. A new inversion algorithm (PriAM) is implemented to
retrieve profiles of the trace gases (TGs) and aerosol extinction (AE) from
the UV spectra of scattered sunlight recorded by the MAX-DOAS instrument. We
investigated two important aspects of the retrieval process. We found that
the systematic seasonal variation of temperature and pressure (which is
regularly observed in Wuxi) can lead to a systematic bias of the retrieved
aerosol profiles (e.g. up to 20 % for the AOD) if it is not explicitly
considered. In this study we take this effect into
account for the first time. We also investigated in detail the reason for the differences of
tropospheric vertical column densities derived from either the geometric approximation or by the
integration of the retrieved profiles, which were reported by earlier
studies. We found that these differences are almost entirely caused by the
limitations of the geometric approximation (especially for high aerosol
loads). The results retrieved from the MAX-DOAS observations are compared
with independent techniques not only under cloud-free sky conditions, but
also under various cloud scenarios. Under most cloudy conditions (except fog
and optically thick clouds), the trace gas results still show good
agreements. In contrast, for the aerosol results, only near-surface AE could
be still well retrieved under cloudy situations.</p><p class="p">After applying a quality control procedure, the MAX-DOAS data are used to
characterize the seasonal, diurnal and weekly variations of NO<sub>2</sub>,
SO<sub>2</sub>, HCHO and aerosols. A regular seasonality of the three trace gases
is found, but not for aerosols. Similar annual variations of the profiles of
the trace gases appear in different years. Only NO<sub>2</sub> shows a significant
seasonality of the diurnal variations. Considerable amplitudes of weekly
cycles occur for NO<sub>2</sub> and SO<sub>2</sub>, but not for HCHO and aerosols. The
TGs and aerosols show good correlations, especially for HCHO in winter. More
pronounced wind direction dependencies, especially for the near-surface
concentrations, are found for the trace gases than for the aerosols, which
implies that the local emissions from nearby industrial areas (including
traffic emissions) dominate the local pollution, while long-distance
transport might also considerably contribute to the local aerosol levels.</p></abstract-html>
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