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  <front>
    <journal-meta><journal-id journal-id-type="publisher">GMD</journal-id><journal-title-group>
    <journal-title>Geoscientific Model Development</journal-title>
    <abbrev-journal-title abbrev-type="publisher">GMD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Geosci. Model Dev.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1991-9603</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/gmd-12-1241-2019</article-id><title-group><article-title>Ensemble forecasts of air quality in eastern China – Part 2:
Evaluation of the MarcoPolo–Panda prediction system, version 1</article-title><alt-title>Ensemble forecasts of air quality in eastern China – Part 2</alt-title>
      </title-group><?xmltex \runningtitle{Ensemble forecasts of air quality in eastern China -- Part 2}?><?xmltex \runningauthor{A. K. Petersen et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Petersen</surname><given-names>Anna Katinka</given-names></name>
          <email>katinka.petersen@mpimet.mpg.de</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Brasseur</surname><given-names>Guy P.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6794-9497</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Bouarar</surname><given-names>Idir</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Flemming</surname><given-names>Johannes</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4880-5329</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Gauss</surname><given-names>Michael</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Jiang</surname><given-names>Fei</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1744-7565</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Kouznetsov</surname><given-names>Rostislav</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5140-0037</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Kranenburg</surname><given-names>Richard</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Mijling</surname><given-names>Bas</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Peuch</surname><given-names>Vincent-Henri</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1396-0505</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Pommier</surname><given-names>Matthieu</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Segers</surname><given-names>Arjo</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1319-0195</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Sofiev</surname><given-names>Mikhail</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9542-5746</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Timmermans</surname><given-names>Renske</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8 aff9">
          <name><surname>van der A</surname><given-names>Ronald</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0077-5338</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Walters</surname><given-names>Stacy</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10">
          <name><surname>Xie</surname><given-names>Ying</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10">
          <name><surname>Xu</surname><given-names>Jianming</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10">
          <name><surname>Zhou</surname><given-names>Guangqiang</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6016-4363</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Max Planck Institute for Meteorology, Hamburg, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>National Center for Atmospheric Research, Boulder, CO, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>European Centre for Medium-Range Weather Forecasts, Reading, UK</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Norwegian Meteorological Institute, Oslo, Norway</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Nanjing University, Nanjing, China</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Finnish Meteorological Institute, Helsinki, Finland</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>TNO, Utrecht, the Netherlands</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Royal Netherlands Meteorological Institute (KNMI), De Bilt, the Netherlands</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>Nanjing University of Information Science and Technology, Nanjing, China</institution>
        </aff>
        <aff id="aff10"><label>10</label><institution>Shanghai Meteorological Service, Shanghai, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Anna Katinka Petersen (katinka.petersen@mpimet.mpg.de)</corresp></author-notes><pub-date><day>2</day><month>April</month><year>2019</year></pub-date>
      
      <volume>12</volume>
      <issue>3</issue>
      <fpage>1241</fpage><lpage>1266</lpage>
      <history>
        <date date-type="received"><day>19</day><month>September</month><year>2018</year></date>
           <date date-type="rev-request"><day>1</day><month>October</month><year>2018</year></date>
           <date date-type="rev-recd"><day>7</day><month>February</month><year>2019</year></date>
           <date date-type="accepted"><day>22</day><month>February</month><year>2019</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2019 </copyright-statement>
        <copyright-year>2019</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://gmd.copernicus.org/articles/.html">This article is available from https://gmd.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://gmd.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://gmd.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e308">An operational multimodel forecasting system for air quality has been developed to
provide air quality services for urban areas of China. The initial forecasting system
included seven state-of-the-art computational models developed and executed in Europe and
China (CHIMERE, IFS, EMEP MSC-W, WRF-Chem-MPIM, WRF-Chem-SMS, LOTOS-EUROS, and
SILAMtest). Several other models joined the prediction system recently, but are not
considered in the present analysis. In addition to the individual models, a simple
multimodel ensemble was constructed by deriving statistical quantities such as the median
and the mean of the predicted concentrations.</p>
    <p id="d1e311">The prediction system provides daily forecasts and observational data of
surface ozone, nitrogen dioxides, and particulate matter for the 37 largest
urban agglomerations in China (population higher than 3 million in 2010).
These individual forecasts as well as the multimodel ensemble predictions for
the next 72 h are displayed as hourly outputs on a publicly accessible web
site (<uri>http://www.marcopolo-panda.eu</uri>, last access: 27 March 2019).</p>
    <p id="d1e317">In this paper, the performance of the prediction system (individual models and the
multimodel ensemble) for the first operational year (April 2016 until June 2017) has been
analyzed through statistical indicators using the surface observational data reported at
Chinese national monitoring stations. This evaluation aims to investigate (a) the
seasonal behavior, (b) the geographical distribution, and (c) diurnal variations of the
ensemble and model skills. Statistical indicators show that the ensemble product usually
provides the best performance compared to the individual model forecasts. The ensemble
product is robust even if occasionally some individual model results are missing.</p>
    <p id="d1e320">Overall, and in spite of some discrepancies, the air quality forecasting system is well
suited for the prediction of air pollution events and has the ability to provide warning
alerts (binary prediction) of air pollution events if bias corrections are applied to
improve the ozone predictions.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<?pagebreak page1242?><sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e334">With the rapid development of its economy, China has been experiencing
repeated intense air pollution episodes (e.g., Guo et al., 2014; K. Huang et
al., 2014; R.-J. Huang et al., 2014; Wang et al., 2014) with a wide range of
health effects (Kampa and Castanas, 2008; Wu et al., 2012; Hamra et al.,
2015; Boynard et al., 2014; WHO, 2018) and serious consequences on ecosystems
(Fowler et al., 2008; Ashmore, 2005; Leisner and Ainsworth, 2012; Sinha et
al., 2015) and on climate (Sitch et al., 2007; Brasseur et al., 1999;
Akimoto, 2003). High concentrations of particulate matter often cover a large
area of eastern China during winter when air remains stagnant for several
days and chemical compounds emitted by power plants, industrial complexes,
traffic, and domestic infrastructure remain trapped near the surface (e.g.,
Wang et al., 2014; Zhao et al., 2013). During summer, photochemical processes
convert nitrogen oxides (<inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and volatile organic compounds
(VOCs) into tropospheric ozone (<inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) (e.g., Xu et al., 2008; Sun et
al., 2016).</p>
      <p id="d1e359">Long-term solutions to mitigate air pollution require a fundamental transformation of the
energy system, which may require decades to be fully implemented. Short-term actions to
avoid severe air pollution episodes, however, can be put in place immediately if such
episodes can be reliably predicted a few days prior to their occurrence. Comprehensive
air quality models that capture meteorological, chemical, and physical processes in the
troposphere and predict the fate of air pollutants are key tools to forecast the
likelihood of air pollution episodes and hence to inform the authorities.</p>
      <p id="d1e362">Within the EU projects MarcoPolo and Panda, which include European as well as
Chinese partner organizations, an operational multimodel forecasting system
for air quality including a number of different chemical transport models has
been developed, and is providing daily forecasts of ozone, nitrogen oxides,
and particulate matter for the 37 largest urban areas of China (population
higher than 3 million in 2010). These individual forecasts as well as the
mean and median concentrations for the next 3 days are posted on a dedicated
web site (<uri>http://www.marcopolo-panda.eu/forecast</uri>, last access: 27 March
2019) together with the hourly observational data from local measurements
reported by the Chinese monitoring network of the China National
Environmental Monitoring Center (CNEMC; data available at
<uri>http://www.pm25.in</uri>, last access: 27 March 2019). This operational air
quality analysis and forecasting system is presented in detail in a companion
paper (Brasseur et al., 2019), where the individual models contributing to
the MarcoPolo–Panda prediction system are described, and details about the
individual models and their individual settings are provided. Information
about selected parametrization options for the physical processes –
including boundary layer, radiation, convection, and surface processes – and
about the emissions adopted in the MarcoPolo–Panda prediction system are
also provided.</p>
      <p id="d1e371"><?xmltex \hack{\newpage}?>In the present study, we evaluate the prediction system of the MarcoPolo and Panda
projects that have been in operation for more than 1 year. We concentrate on the period
April 2016 to June 2017 and analyze the model forecasts (seven individual models and the
ensemble median) and observational data for 34 cities (covered by most of the models,
depending on the extent of the domains; for two models only 31 and 32 cities).</p>
      <p id="d1e376">We evaluate the performance of the individual models involved in the present study, and
to examine the performance of the overall forecasting system by comparing the predicted
surface concentrations to values reported by the Chinese air pollution monitoring
network. Section 2 of this paper provides a brief description of the forecasting system,
while Sect. 3 investigates the performance of the system using different statistical
indicators including the mean bias (BIAS), the root mean square error (RMSE), the
modified normalized bias (MNBIAS), the fractional gross error (FGE), and the correlation
coefficient. We derive in particular (a) statistical indicators for each model over the
time of the year (on a monthly basis) in order to analyze seasonal characteristics,
(b) the geographical distribution of the statistical indicators for the ensemble median
in order to derive regional characteristics and issues, and (c) the statistical
indicators of all models and of the ensemble median over the time of the day (considering
all model–observation pairs of all cities and for the whole time period) and for a
specific city (Beijing) together with the diurnal variation in the pollutants during the
whole time period. In Sect. 4, we assess the impacts of missing forecasts from one or
more models on the production of the ensemble. As the prediction system intends to
provide warning of air pollution episodes to the general public, the system performance
has been evaluated regarding its ability to predict the exceedance of air quality
thresholds (binary prediction of pollution events). This analysis is presented in
Sect. 5. We conclude with a summary and outlook in Sect. 6.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><label>Figure 1</label><caption><p id="d1e381">Map of the 34 cities/urban clusters (population over 3 million,
2010 census) with available data (observational and model ensembles), used in
this evaluation.</p></caption>
        <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/1241/2019/gmd-12-1241-2019-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Description of the analysis and forecasting system</title>
      <?pagebreak page1243?><p id="d1e398">Within the EU projects MarcoPolo and Panda, a number of chemistry-transport models have
been applied to provide daily air quality forecasts for a selection of 37 large Chinese
agglomerations (population over 3 million, 2010 census). Initially, seven models,
CHIMERE (Royal Netherlands Meteorological Institute, KNMI), IFS (European Centre for
Medium-Range Weather Forecasts, ECMWF), WRF-Chem-SMS (Shanghai Meteorological Service,
SMS), SILAMtest (Finish Meteorological Institute, FMI), WRF-Chem-MPIM (Max Planck
Institute for Meteorology, MPIM, in Hamburg), EMEP MSC-W (hereafter referred to as EMEP,
Norwegian Meteorological Institute, MET Norway), and LOTOS-EUROS (the Netherlands
Organisation for applied scientific research, TNO) were providing daily forecasts every
day at 00:00 UTC for the next 72 h (3 days) for <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, PM<inline-formula><mml:math id="M5" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>,
and PM<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (see Fig. 1). WRF-CMAQ and WRMS-CMAQ, both used by Chinese institutions
(Nanjing University and SMS), have recently joined the prediction system, but are not
considered in the present analysis.</p>
      <p id="d1e441">We should note that the models considered in the present study may have significantly
evolved since the present analysis was performed. This is the case, for example, for the
SILAM model developed by the Finish Meteorological Institute, whose configuration was
still in a test mode and is therefore referred to as SILAMtest. Several of the models
considered here have been involved in a previous intercomparison summarized by Bessagnet
et al. (2016).</p>
      <p id="d1e444">The individual models are executed independently on the computing systems
available in each partner institution. The surface concentrations of the key
chemical species are extracted locally from the model outputs and forwarded
to a central database operated by the Royal Netherlands Meteorological
Institute (KNMI).</p>
      <p id="d1e447">Hourly predictions of surface concentrations (expressed in
<inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) are provided by the models as grid values, which are
bilinearly interpolated to city center coordinates. The average for the data
provided by the urban network (usually around 5–12 stations), is posted
together with the corresponding standard deviation and the number of
contributing stations. In the present analysis, we only consider the model
simulations corresponding to 34 cities, since the cities of Ürümqi
(most western, only covered by three models), Changchun, and Harbin (most
northern cities) are located outside of the domains covered by most
individual models, which are indicated in the companion paper (Brasseur et
al., 2019).</p>
      <p id="d1e471">In addition to the forecasts provided by the individual participating models, a
multimodel ensemble was constructed from which the median and the mean were derived. To
process the ensemble median, all seven individual models are first interpolated to a
common horizontal grid. For each grid point, the ensemble model is calculated as the
median value of the individual model forecasts. The median is relatively insensitive to
outliers in the forecasts. The method is also less vulnerable to occasionally missing
data from individual models, as the minimum number of model results needed to calculate a
meaningful ensemble mean or median is almost always available. This will be discussed in
detail in Section 4. The multimodel approach also provides more accurate forecasts and
thus reduces the underlying uncertainties (as will be shown in the following section).
More advanced methods, e.g., based on individual model skills, are discussed in the
literature (e.g., Galmarini et al., 2013). They are significantly more costly from a
computational point of view and therefore not well suited for daily operations.</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Evaluation of the performance of the system</title>
      <p id="d1e482">The evaluation of the performance of a forecasting system is a necessary step for
assessing the quality of the predictions and demonstrating its usefulness. It also
provides important information that can lead to the improvement of the<?pagebreak page1244?> forecasting system
and to further model development. The comparison between model output and in situ
measurements is not straightforward because of the different nature of the respective
quantities: air quality models provide volume-averaged quantities over each model grid
cell and time averages over the modeling time step. Observations are available at fixed
measurement sites and at a fixed time. Further, they are influenced by local processes
that are not necessarily well captured by relatively coarse-resolution models. Thus, the
representativeness of the observational site is not always guaranteed.</p>
      <p id="d1e485">The MarcoPolo–Panda forecasting and analysis system uses the surface observations
available at the web site <uri>http://www.pm25.in</uri> for 37 Chinese cities. For a given
city, the observational data considered for the evaluation of the model consist of an
average of the measurements made at the different stations of the urban network, usually
5–12 stations, which are aggregated to one value for the whole city. The model fields
are bilinearly interpolated to the city center coordinates.</p>
      <p id="d1e491">The mean bias,

              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M9" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">BIAS</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:msub><mml:mo>∑</mml:mo><mml:mi>i</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>m</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>o</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

        where <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msub><mml:mi>o</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the model forecast value and the observation value, and <inline-formula><mml:math id="M12" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>
the number of model–observation pairs; the root mean square error,

              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M13" display="block"><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">RMSE</mml:mi><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:msub><mml:mo>∑</mml:mo><mml:mi>i</mml:mi></mml:msub><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>m</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>o</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt><mml:mo>;</mml:mo></mml:mrow></mml:math></disp-formula>

        the modified normalized bias,

              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M14" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">MNBIAS</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">2</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:msub><mml:mo>∑</mml:mo><mml:mi>i</mml:mi></mml:msub><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>m</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>o</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>o</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>;</mml:mo></mml:mrow></mml:math></disp-formula>

        the fractional gross error,

              <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M15" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">FGE</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">2</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:msub><mml:mo>∑</mml:mo><mml:mi>i</mml:mi></mml:msub><mml:mfenced open="|" close="|"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>o</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>o</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>;</mml:mo></mml:mrow></mml:math></disp-formula>

        and the correlation coefficient between the model forecast and observed values,

              <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M16" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:msub><mml:mo>∑</mml:mo><mml:mi>i</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mrow><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>m</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi>m</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>o</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi>o</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>o</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

        are used to measure the system performance. Here <inline-formula><mml:math id="M17" display="inline"><mml:mover accent="true"><mml:mi>m</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> and <inline-formula><mml:math id="M18" display="inline"><mml:mover accent="true"><mml:mi>o</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> are the mean values of the model forecast and observed values, and <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>o</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the corresponding standard deviations.</p>
      <p id="d1e827">The evaluation presented here aims to investigate (a) the statistical indicators for each
model over the time of the year (on a monthly basis) so that the seasonal features can be
characterized and related issues of individual models can be identified (Sect. 3.1);
(b) the geographical distribution of the statistical indicators of the ensemble median to
highlight regional characteristics and related issues (Sect. 3.2); (c) statistical
indicators of all models and the ensemble median over the time of the day (considering
all model–observation pairs of all cities and for the whole time period) and for a
specific city (Beijing) together with the diurnal variation in the pollution species over
the whole time period (Sect. 3.3).</p>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Evaluation of the seasonal behavior of the models</title>
      <p id="d1e838">We start our evaluation of the multimodel prediction system by examining the seasonal
behavior of the predicted concentrations of key chemical species. The statistical
indicators mentioned above have been calculated separately for each month from April 2016
to June 2017 and for the entire period during which the forecasting system was
operational. Due to storage issues, only the predictions for the first 24 h (0–23 h)
were saved while the predictions from 24 to 72 h were not retained and not analyzed in
this work.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><label>Figure 2</label><caption><p id="d1e843">RMSE (in <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), BIAS (in <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), MNBIAS, and
FGE of <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for each month and for the entire time period
(April 2016–June 2017 and lines on the right side of each panel).</p></caption>
          <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/1241/2019/gmd-12-1241-2019-f02.png"/>

        </fig>

      <p id="d1e915">Figure 2 shows the RMSE, BIAS, MNBIAS, and FGE of <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (left column) and
<inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (right column) for each of the seven individual models included in the
system, for the model ensemble median, and for each individual month between April 2016
and June 2017. The same results are also provided for the whole period (“All”). It can
be seen that there is a wide spread of the results produced by the seven models. The
individual models are continuously improving during the first months because many changes
have been applied by the different modeling groups in order to improve their individual
predictions. In the case of <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, most individual models slightly overestimate
the concentrations compared to observations. In the EMEP model, it may be explained by
the larger nitrogen emissions used in comparison with the other models (Brasseur et al.,
2019). This results in a positive BIAS and MNBIAS for most models and the ensemble
median. The RMSE of the model ensemble is highest in July/August/September 2016 and
remains relatively constant after October 2016. It can be seen that the median of the
model ensemble has the lowest RMSE for <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the smallest BIAS and MNBIAS
(slightly positive) and the lowest FGE. This demonstrates the advantage of adopting a
model ensemble rather than the prediction provided by individual models.</p>
      <?pagebreak page1245?><p id="d1e963">Most models underestimate <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (likely as a result of the overestimated
<inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> because the <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production is not <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>-limited)
during the whole period under consideration. For <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the CHIMERE model shows
slightly better performance (lowest RMSE) than the model ensemble median. The median BIAS
for <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is relatively constant (slightly negative). For this particular species,
the model ensemble median does not provide the best results regarding the BIAS. In fact,
in this case, the model LOTOS-EUROS gives the best performance for ozone, Interestingly,
this particular model has the largest negative BIAS for <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The median BIAS of
<inline-formula><mml:math id="M38" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> remains relatively constant during the period, while the MNBIAS exhibits
higher negative values during the winter months, as a result of the relatively low
<inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations during wintertime.</p>
      <p id="d1e1066">As stated above, the MarcoPolo–Panda prediction system has the tendency to overestimate
surface <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, which leads to <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> titration especially during nighttime.
The emission injection height is also a relevant factor here since it can largely
influence the results in the planetary boundary layer. During night-time, emissions from
stacks may take place above the mixing layer and explain model–data discrepancies since
the models often assume that the injection of primary pollutants takes place in the first
layer above the surface.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><label>Figure 3</label><caption><p id="d1e1093">RMSE (in <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), BIAS (in <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>),
MNBIAS, and FGE of PM<inline-formula><mml:math id="M46" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> for each month and for the entire
time period (April 2016–June 2017 and lines on the right side of each
panel).</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/1241/2019/gmd-12-1241-2019-f03.png"/>

        </fig>

      <p id="d1e1161">Anthropogenic emissions of primary pollutants are changing extremely rapidly in China.
The adopted emissions inventories usually reflect the situation a few years before the
period during which the model simulations were performed. Since the recent
<inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions have decreased significantly in some urban areas of China
in response to measures taken by the local authorities (Liu et al., 2017), the
anthropogenic emissions used for the current forecasts may be overestimated in some
areas. Some models use reduced <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
anthropogenic emissions (for details see Brasseur et al., 2019); however, daytime
concentrations of ozone are generally underestimated in most models, even when the level
of <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is in reasonable agreement with the observational values. The
discrepancy could be caused by an underestimation of the emissions of some VOCs,
especially in the center of urban areas where ozone is often VOC-limited.</p>
      <p id="d1e1208">For PM<inline-formula><mml:math id="M52" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M53" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, the model ensemble median shows the best performance
compared to all individual models during the time period under consideration (see
Fig. 3). For PM<inline-formula><mml:math id="M54" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>, there is an overall slight underestimation by all models<?pagebreak page1246?> except
by CHIMERE and hence by the median of the model ensemble. For PM<inline-formula><mml:math id="M55" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, the BIAS is
relatively constant (apart in the WRF-Chem-SMS model which exhibits a lot of variation in
the BIAS of PM<inline-formula><mml:math id="M56" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M57" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>). In this case, the BIAS is slightly overestimated
but close to zero.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><label>Figure 4</label><caption><p id="d1e1269">Correlation coefficients based on hourly concentrations of
<inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, PM<inline-formula><mml:math id="M60" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>, and PM<inline-formula><mml:math id="M61" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> for each month between
April 2016 and June 2017 (and for the entire time period, lines on the right
side of each panel).</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/1241/2019/gmd-12-1241-2019-f04.png"/>

        </fig>

      <p id="d1e1318">Figure 4 shows the temporal correlation coefficients for <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
PM<inline-formula><mml:math id="M64" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>, and PM<inline-formula><mml:math id="M65" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> for each individual month, and for the whole time period. It
can be seen that there is a wide spread between the individual models: the calculated
correlations range from 0.2 to 0.7 for <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, PM<inline-formula><mml:math id="M67" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>, and PM<inline-formula><mml:math id="M68" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, and from
0.3 to 0.8 for <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The model ensemble median and CHIMERE are characterized by
high correlation coefficients in the case of <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and PM<inline-formula><mml:math id="M72" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>.
For PM<inline-formula><mml:math id="M73" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>, the model ensemble median and the LOTOS-EUROS model provide the highest
correlation coefficients. In general, the model ensemble median gives the best
performance.</p>
      <p id="d1e1443">The correlation coefficient of <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for the ensemble median on the monthly basis
remains relatively unchanged between April 2016 and June 2017, and ranges between 0.6 and
0.8. Considering the whole time period, it is on the order of 0.75, with CHIMERE
providing a slightly higher correlation coefficient for the whole time period, and also
for each individual month. All models exhibit low correlation coefficients in March 2017.
High correlation coefficients are found during the early summer months (June/July). For
PM<inline-formula><mml:math id="M75" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M76" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, the correlation coefficients exhibit more variability, starting
with very low correlations for all models and for the ensemble during April and May 2016,
high correlations from June 2016 to March 2017, and again low correlations during April
and May 2017. These differences may be due to missing sources of biomass burning or dust
or to individual model tunings. An important difference between the models included in
the ensemble is the formulation of dust mobilization (see Table 3 of the companion paper
by Brasseur et al., 2019). Note that the CHIMERE and EMEP models do not include dust in
their calculation of particulate matter and that the emissions provided by the IFS-ECMWF
are substantially higher than in other models. For the entire time period, the
correlation coefficient of the ensemble mean is higher than for each individual models
(<inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.58</mml:mn></mml:mrow></mml:math></inline-formula> for PM<inline-formula><mml:math id="M78" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.78</mml:mn></mml:mrow></mml:math></inline-formula> for PM<inline-formula><mml:math id="M80" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>). The correlation between the
model ensemble and the observations is therefore relatively satisfactory.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Evaluation of the geographical distribution</title>
      <?pagebreak page1247?><p id="d1e1522">The statistical indicators, described above for all contributing cities, have also been
calculated for the individual cities. The purpose here is to assess regional
characteristics and to identify model issues. Figure 5 shows the statistical indicators
(RMSE, BIAS, and correlation coefficient) for <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and PM<inline-formula><mml:math id="M83" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
of the ensemble median for each city during the time period under consideration (April
2016 until June 2017). In the uppermost left panel, the BIAS of ozone for each city is
shown. It can be seen that the ensemble median is underestimating the ozone
concentrations in the north and northeastern regions of China, while no significant bias
compared to the observations is found in cities in the southern part of the country. RMSE
in the northern and northeastern cities are higher (around 40 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)
than in southern and western cities (around 20–30 <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><label>Figure 5</label><caption><p id="d1e1599">Map of the BIAS, RMSE, and temporal correlation coefficient of <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M89" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and PM<inline-formula><mml:math id="M90" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> for the whole time period (April 2016 until June 2017) for
each city.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/1241/2019/gmd-12-1241-2019-f05.png"/>

        </fig>

      <p id="d1e1639">The temporal correlation coefficients for ozone calculated for each city over the whole
period under consideration are slightly higher in the northern part of the country and
slightly smaller in the southern regions. This indicates that the day-to-day variability
is well simulated, even though the models are slightly underestimating the ozone
pollution in the north. <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations (see the middle row panels of
Fig. 5) are overestimated in some cities and underestimated in other cities. There is,
however, no systematic geographical characterization of the bias. When considering
individual cities, it can be seen that the <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations are slightly
overestimated in most urban areas including Beijing, Shanghai, Chengdu, Wuhan, and
Changsha. The missing urban parameterization could be one of the reasons for too low
vertical mixing in the model. The RMSE for <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the middle panel of Fig. 5 is
very uniform (around 20 <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) in the whole country. The correlation
coefficients of <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (between 0.5 and 0.7) are smaller than those of
<inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> as <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> exhibits more temporal variability than <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. In
the case of PM<inline-formula><mml:math id="M100" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, (see uppermost right panel), the concentrations are well
simulated in the northern and southern parts of China, but there are a few city clusters
in the middle of the domain (Chengdu, Chongqing, Wuhan, and Changsha) in which the
PM<inline-formula><mml:math id="M101" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations are overestimated by more than 50 <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M103" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. These
cities also show an overestimation of <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations. The overestimation of
PM<inline-formula><mml:math id="M105" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> may therefore be related to the errors in precursor emissions, e.g.,
<inline-formula><mml:math id="M106" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The RMSE of PM<inline-formula><mml:math id="M108" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> is smaller in the southern
part of the domain and along the coastline of China, while the model results are less
satisfactory in the city clusters located in the central part of the domain, with very
high RMSE of 60–80 <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M110" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in three cities. The correlation coefficients
for the individual cities are relatively constant around 0.7 with few cities
characterized by lower correlation coefficients (mostly in the central part of the
domain).</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Evaluation of the diurnal variation</title>
      <p id="d1e1859">We now examine the ability of the models to reproduce the diurnal variations
of the chemical species' concentrations. We first provide a general view
based on all observations in China and then examine the particular situation
in the city of Beijing.</p><?xmltex \hack{\newpage}?>
<?pagebreak page1248?><sec id="Ch1.S3.SS3.SSS1">
  <label>3.3.1</label><title>Analysis based on all observations in China</title>
      <p id="d1e1870">The RMSE, BIAS, MNBIAS, and FGE of <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, PM<inline-formula><mml:math id="M113" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>, and PM<inline-formula><mml:math id="M114" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
for the seven models and the ensemble median for all available observations in China are
displayed over the forecasting time (0–23 h; Figs. 6 and 7). Due to storage
limitations, only the predictions for the first 24 h (0–23 h) were saved while the
predictions for the 24–72 h period performed by all models were not retained.
Unfortunately, this does not allow the investigation of a day-to-day degradation of the
statistical indicators (from day 1 to day 3). Only the diurnal behavior of the
statistical indicators can be assessed, which provides important hints for possible model
issues.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><label>Figure 6</label><caption><p id="d1e1915">RMSE, BIAS, MNBIAS, and FGE of <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> over the
forecasting time (time of the day).</p></caption>
            <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/1241/2019/gmd-12-1241-2019-f06.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><label>Figure 7</label><caption><p id="d1e1948">RMSE, BIAS, MNBIAS, and FGE of PM<inline-formula><mml:math id="M117" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M118" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> over the forecasting
time (time of the day).</p></caption>
            <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/1241/2019/gmd-12-1241-2019-f07.png"/>

          </fig>

      <p id="d1e1976">It can be seen in the left column of panels of Fig. 6 that the statistical indicators of
<inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for the ensemble median is relatively stable over the time of the day, with
slightly higher RMSE and higher BIAS/MNBIAS during the nighttime hours. For the
individual models, the variability in the RMSE is somewhat higher during daytime, while
some models exhibit very high RMSE and BIAS during the nighttime hours. Most models show
a positive BIAS of <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> during the night, but a few of them exhibit a negative
bias; this results in a relatively small BIAS for the ensemble median, showing good
results with respect to the BIAS throughout the day.</p>
      <p id="d1e2001">In the case of ozone, the statistical indicators exhibit a variation over the
time of the day. The RMSE is smallest between 07:00 and 09:00 LT (local
time), after which it increases until 18:00 LT in the evening to become
constant at about 30 <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M122" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> during the night.</p>
      <p id="d1e2024">An examination of the BIAS and MNBIAS for <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> over the day shows that
<inline-formula><mml:math id="M124" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is underestimated by nearly all models, apart from WRF-Chem-SMS. This might
result from the slight overestimation of <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations by most models.
Especially during nighttime when the height of the boundary layer is low, near-surface
<inline-formula><mml:math id="M126" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations are high, and ozone is underestimated by 50 %–100 %
by most models. In the first hours of the day, only SILAMtest, WRF-Chem-SMS, and
LOTOS-EUROS exhibit slightly positive <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> BIAS. The same models produce a
negative BIAS for <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> during the first hours of the day.</p>
      <p id="d1e2094">Figure 7 shows that the BIAS and MNBIAS of both PM<inline-formula><mml:math id="M129" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M130" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> stay
relatively constant over the time of the day. PM<inline-formula><mml:math id="M131" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> is slightly
underestimated by the ensemble median (<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> % to <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> %), while PM<inline-formula><mml:math id="M134" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> is
slightly overestimated (10 % to 25 %). In most cases, the models
overestimate the PM<inline-formula><mml:math id="M135" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> observations, while for PM<inline-formula><mml:math id="M136" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> there are stronger
differences between the individual models.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><label>Figure 8</label><caption><p id="d1e2174">Diurnal variations in the concentrations and of the RMSE and BIAS of
<inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and PM<inline-formula><mml:math id="M140" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> for Beijing for the
whole time period (April 2016–June 2017).</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/1241/2019/gmd-12-1241-2019-f08.png"/>

          </fig>

      <p id="d1e2226">For PM<inline-formula><mml:math id="M141" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M142" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, the ensemble median exhibits a better performance than the
individual models: the RMSE BIAS, MNBIAS, and FGE of the ensemble are on average lower
than the corresponding statistical parameters of the individual models. This demonstrates
again the advantage of using the ensemble median for the prediction of PM<inline-formula><mml:math id="M143" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> and
PM<inline-formula><mml:math id="M144" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>.</p>
      <?pagebreak page1249?><p id="d1e2265">Figure 8 presents the diurnal variation in the concentrations of <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M146" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>, and PM<inline-formula><mml:math id="M148" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> from the individual models
(and the ensemble median) and from the observations at a specific location (Beijing). The
RMSE and the BIAS are also provided during the whole period under consideration.</p>
      <p id="d1e2319">It can be seen that the ensemble median (black line) underestimates the <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
observations (red line) throughout the day, especially during the nighttime hours and in
the late afternoon. Only WRF-Chem-SMS reproduces the amplitude of the <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
diurnal cycle, but it also underestimates the <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations after 18:00 LT
when the height of the boundary layer is rapidly decreasing. All models and the ensemble
median reproduce the diurnal cycle with a maximum in the late afternoon, but this maximum
produced by the model appears about 2 h earlier than observed. When considering the
RMSE, the models produce the best results during the morning, and with increasing
<inline-formula><mml:math id="M152" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations as the day progresses; the RMSE is also increasing. The
negative BIAS is increasing for all models and for the model ensemble throughout the day.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <label>3.3.2</label><title>Analysis for the specific case of Beijing</title>
      <p id="d1e2374">In Beijing, the diurnal variation in the <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations is overestimated by
the individual models as also reflected by the ensemble median. During the nighttime, for
example, the observed concentrations are about 20–30 <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M155" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> lower than
the concentrations associated with the ensemble median. The individual models and the
ensemble median show a much stronger diurnal behavior than the observations. Atmospheric
measurements suggest that the concentrations of <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are relatively constant
over the time of the day. This might be due to<?pagebreak page1250?> applied temporal profiles of the
anthropogenic emissions or issues in the vertical mixing of the individual models. Also,
the models with their spatial resolution may not capture the details seen in the
observations by the ground network. The RMSE of all models and for the ensemble median is
highest in late afternoon and during the night. The MarcoPolo–Panda prediction system
has thus a tendency to overestimate surface <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, which leads to an
overestimation of the <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> titration especially at night.</p>
      <p id="d1e2442">To further analyze the chemical coupling between ozone and <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, we have added,
at each time step, the mixing ratios of <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The resulting
variable, called <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and expressed here in ppbv, has the advantage of not
being affected by the fast interchange (null cycle) and the resulting partitioning
between ozone and <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> produced by reactions <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi>h</mml:mi><mml:mi mathvariant="italic">ν</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">M</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>. If only these three
rapid photochemical reactions are considered, <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is a conserved
quantity. In other words, even when a more comprehensive chemical scheme is adopted, the
diurnal cycle of <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> should be considerably less pronounced than the
diurnal cycle of <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <?pagebreak page1251?><p id="d1e2603">In fact, in the model forecasts, the sum of <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is nearly
constant during the day, but exhibits nevertheless some diurnal variation, which appears
to be weaker than in the observation. The calculated <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is slightly too
high at night and too low during daytime, suggesting an overestimation in photochemical
activity by the majority of the models. The partitioning of <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> into
<inline-formula><mml:math id="M175" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is not well reproduced despite the simple chemistry that
determines this partitioning: <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is generally too high and <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> too
low, especially in the afternoon and early night. The simple partitioning approach does
not seem to work properly under high <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> loading. As a result, the
diurnal cycle of <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is not well reproduced by the forecasting ensemble and high
ozone events are generally underestimated. This issue is discussed in more detail in the
companion paper by Brasseur et al. (2019).</p>
      <p id="d1e2717">The observed diurnal variation in PM<inline-formula><mml:math id="M181" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> is not well reproduced by the
models and by the ensemble median. The calculated variability in Beijing is
substantially higher than suggested by the observations (which are
characterized by relatively constant concentrations throughout the day). The
models show a maximum in PM<inline-formula><mml:math id="M182" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations around 08:00–09:00 LT,
and a second maximum during nighttime hours. This morning maximum is not
present in the observations. The model ensemble is overestimating the
observations in the morning and underestimating them in the early afternoon,
resulting in a diurnal variability in the BIAS, shown in the lowest panel.
Again, this might be related to the adopted diurnal profiles of the
anthropogenic emission sources or might be due to errors in the formulation
of vertical mixing in the planetary boundary layer. Specifically, one should
note that the models do not include a detailed formulation of small-scale
urban canopy effects, which could generate some mechanical and thermal
turbulence with related vertical mixing during nighttime. With increased
nighttime ventilation from the boundary layer to the free troposphere, the
calculated amplitude of the diurnal variation in gases and particulates would
be reduced and become closer to the observation.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>The impact of missing model data on the ensemble performance</title>
      <p id="d1e2749">To assess the impact on the ensemble forecast of occasionally missing results from one or
several models, we compare the following ensembles during a given test period (1–30 May
2017), separately for <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and PM<inline-formula><mml:math id="M185" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>: this approach has
already been adopted by Marécal et al. (2015) to evaluate European air quality
predictions. We consider the following cases:
<list list-type="bullet"><list-item>
      <p id="d1e2785">MEDIAN 7. the median provided by the operational ensemble method,
which includes all seven models;</p></list-item><list-item>
      <p id="d1e2789">MEDIAN 5. the median built on five individual models, excluding the
“best” and the “worst” models;</p></list-item><list-item>
      <p id="d1e2793">MEDIAN 3. the median built on three individual models, excluding the
two “best” and the “two” worst models;</p></list-item><list-item>
      <p id="d1e2797">BEST. the model with the highest performance;</p></list-item><list-item>
      <p id="d1e2801">WORST. the model with the lowest performance.</p></list-item></list>
Since the relative performance of individual models varies in time and space, the
criterion to order the seven individual models from “worst to best” is provided by the
value of their respective RMSE over the test period. For ozone, the criterion is measured
by the RMSE over the 30 days between 12:00 and 18:00 LT (ozone peak time) (this
criterion is based on the fact that the “best” model refers to the best forecast of
daytime ozone levels). RMSE is seen as the most objective criterion since mean bias and
modified normalized bias can include compensating effects.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><label>Figure 9</label><caption><p id="d1e2807">RMSE, BIAS, MNBIAS, and FGE of <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and PM<inline-formula><mml:math id="M188" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> over
the forecasting time (time of the day) for the Median7, Median5, Median3, and the best
and worst model.</p></caption>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/1241/2019/gmd-12-1241-2019-f09.png"/>

      </fig>

      <p id="d1e2847">Figure 9 shows the statistical indicators for May 2017 as a function of the forecasting
time (0–23 h) of the ensemble median based on all seven models (MEDIAN7 shown in red),
five models (MEDIAN5 shown in blue), and three models (MEDIAN3 shown in black). The
results are also shown for the “best” and the “worst” model (BEST, magenta, and
WORST, light blue). For all three species, the ensemble median based on seven models is
of highest quality (based on the statistical indicators used in this analysis), and
generally surpasses the results provided by the “best” model. When only five models
(excluding the best and the worst) are available to calculate the ensemble, all
statistical indicators show only very small differences with the more inclusive MEDIAN7
case based on seven models. Reducing the ensemble calculation further to three models
(MEDIAN3), the statistical scores degrade slightly compared to the MEDIAN7 and MEDIAN5
for all three species, but remain higher or at least similar to the score of the best
model (BEST).</p>
      <p id="d1e2851">It is interesting to note that the best model (BEST) is not the same model for the
different months that are investigated, nor the same model for all species. For example,
in August 2016, the best model for <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and PM<inline-formula><mml:math id="M190" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> is IFS, while LOTOS-EUROS
shows the best performance for <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. In May 2017, the best model for PM<inline-formula><mml:math id="M192" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
is LOTOS-EUROS and the worst model is IFS, but the results remain the same: the ensemble
product performs better than (or at a similar level as) the best model. Since the BEST
model can change depending on time period and species, the ensemble product is
particularly valuable for the sustained quality of the forecasting system. This study
shows, therefore, that using the ensemble product (median) of models, even if
occasionally based on fewer models, is more useful than using a single model, even if the
performance of this individual model is high. The ensemble product is still robust
compared to the observations if the output of some contributing models is occasionally
missing. It also shows that an ensemble product remains valuable even if only few models
are available for the production of the forecast.</p>
</sec>
<?pagebreak page1252?><sec id="Ch1.S5">
  <label>5</label><title>Performance of the forecasting system for warnings alerts</title>
      <p id="d1e2902">The prediction system has been designed to support the development of
policies and the calculation of air quality indices. One of the applications
of the system is to provide alerts to the general public when acute air
pollution episodes are expected. Thus, the performance of the forecast
system has been tested regarding the likelihood to predict air pollution
events. We will refer to this type of forecast as binary prediction of
events (Brasseur and Jacob, 2017).</p>
      <p id="d1e2905">A model prediction of a specific event such as an air pollution episode at a given
location (e.g., concentration of pollutants exceeding a regulatory threshold) is
evaluated by considering a binary variable and by distinguishing between four possible
situations: (1) the event is predicted and observed, (2) the event is not predicted and
not observed, (3) the event is predicted but not observed, (4) the event is not predicted
but is observed. Cases (1) and (2) are regarded as successful predictions (hits), while
(3) and (4) are considered to be failures (misses). The skill of the model for binary
prediction (event or no event) is measured by the fractions of observed events that are
correctly predicted (probability of detection, POD). The fraction of predicted events
that did not occur is measured by the false alarm rate (FAR), both POD and FAR as defined
in Brasseur and Jacob (2017).</p>
      <p id="d1e2908">We have calculated the POD and FAR for the ensemble median for the cities of Beijing,
Shanghai, and Guangzhou between April 2016 and June 2017, specifically for ozone (based
on the 8 h and the daily maximum value), <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and PM<inline-formula><mml:math id="M194" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>. Based on the
1-hourly time series of ozone, <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and PM<inline-formula><mml:math id="M196" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, the time series for (a) 1 h
ozone, (b) 8 h ozone concentrations (c) 24 h mean <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations,
(d) 1 h <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations, and (e) 24 h PM<inline-formula><mml:math id="M199" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations have been
constructed and the thresholds of the air quality indices (AQI) have been applied for
each definition. The definitions breakpoints for the individual AQI are shown in Tables 1
and 2; they are based on current definitions of AQI from the Chinese government.</p>
      <p id="d1e2983">In order to highlight the presence of thresholds violated during the time period under
consideration, Figs. 10–12 show the time series for the period April 2016–July 2017 of
the (1) daily maximum ozone concentrations, (2) 8 h moving average of ozone, (3) the
24 h mean <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations, (4) the daily maximum <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations, and (5) the 24 h mean PM<inline-formula><mml:math id="M202" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations for Beijing (Fig. 10),
Shanghai (Fig. 11), and Guangzhou (Fig. 12) derived from the model and from the
observations at each location. Pink lines indicate the thresholds for the air quality
indices for moderate (line), lightly polluted (dashed line), and moderately polluted
(dotted line) conditions for each pollutant.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><label>Table 1</label><caption><p id="d1e3021">Chinese AQI categories.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Index</oasis:entry>
         <oasis:entry colname="col2">AQI</oasis:entry>
         <oasis:entry colname="col3">AQI categories</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">values</oasis:entry>
         <oasis:entry colname="col2">levels</oasis:entry>
         <oasis:entry colname="col3"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">050</oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">good</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">51–100</oasis:entry>
         <oasis:entry colname="col2">2</oasis:entry>
         <oasis:entry colname="col3">moderate</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">101–150</oasis:entry>
         <oasis:entry colname="col2">3</oasis:entry>
         <oasis:entry colname="col3">lightly polluted</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">151–200</oasis:entry>
         <oasis:entry colname="col2">4</oasis:entry>
         <oasis:entry colname="col3">moderately polluted</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">201–300</oasis:entry>
         <oasis:entry colname="col2">5</oasis:entry>
         <oasis:entry colname="col3">heavily polluted</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">300</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">6</oasis:entry>
         <oasis:entry colname="col3">severely polluted</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><label>Table 2</label><caption><p id="d1e3148">Individual AQI (IAQI) for 1 and 8 h ozone, 24 and 1 h
<inline-formula><mml:math id="M204" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and 24 h PM<inline-formula><mml:math id="M205" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.89}[.89]?><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">IAQI</oasis:entry>
         <oasis:entry colname="col2">1 h <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">8 h <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">24 h <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">1 h <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">24 h PM<inline-formula><mml:math id="M210" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(<inline-formula><mml:math id="M211" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M212" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">(<inline-formula><mml:math id="M213" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M214" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M215" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M216" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">(<inline-formula><mml:math id="M217" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M218" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M219" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M220" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">0</oasis:entry>
         <oasis:entry colname="col2">0</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">0</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
         <oasis:entry colname="col6">0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">50</oasis:entry>
         <oasis:entry colname="col2">160</oasis:entry>
         <oasis:entry colname="col3">100</oasis:entry>
         <oasis:entry colname="col4">40</oasis:entry>
         <oasis:entry colname="col5">100</oasis:entry>
         <oasis:entry colname="col6">35</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">100</oasis:entry>
         <oasis:entry colname="col2">200</oasis:entry>
         <oasis:entry colname="col3">160</oasis:entry>
         <oasis:entry colname="col4">80</oasis:entry>
         <oasis:entry colname="col5">200</oasis:entry>
         <oasis:entry colname="col6">75</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">150</oasis:entry>
         <oasis:entry colname="col2">300</oasis:entry>
         <oasis:entry colname="col3">215</oasis:entry>
         <oasis:entry colname="col4">180</oasis:entry>
         <oasis:entry colname="col5">700</oasis:entry>
         <oasis:entry colname="col6">115</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">200</oasis:entry>
         <oasis:entry colname="col2">400</oasis:entry>
         <oasis:entry colname="col3">265</oasis:entry>
         <oasis:entry colname="col4">280</oasis:entry>
         <oasis:entry colname="col5">1200</oasis:entry>
         <oasis:entry colname="col6">150</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">300</oasis:entry>
         <oasis:entry colname="col2">800</oasis:entry>
         <oasis:entry colname="col3">800</oasis:entry>
         <oasis:entry colname="col4">565</oasis:entry>
         <oasis:entry colname="col5">2340</oasis:entry>
         <oasis:entry colname="col6">250</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">400</oasis:entry>
         <oasis:entry colname="col2">1000</oasis:entry>
         <oasis:entry colname="col3">use hourly</oasis:entry>
         <oasis:entry colname="col4">750</oasis:entry>
         <oasis:entry colname="col5">3090</oasis:entry>
         <oasis:entry colname="col6">350</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">500</oasis:entry>
         <oasis:entry colname="col2">1200</oasis:entry>
         <oasis:entry colname="col3">use hourly</oasis:entry>
         <oasis:entry colname="col4">940</oasis:entry>
         <oasis:entry colname="col5">3840</oasis:entry>
         <oasis:entry colname="col6">500</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <?xmltex \floatpos{p}?><fig id="Ch1.F10" specific-use="star"><label>Figure 10</label><caption><p id="d1e3565">Time series of daily maximum <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, 8 h moving average <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
24 h mean <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, daily maximum <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and 24 h mean PM<inline-formula><mml:math id="M225" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> for
Beijing from April 2016 until June 2017.</p></caption>
        <?xmltex \igopts{width=625.96063pt, angle=90}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/1241/2019/gmd-12-1241-2019-f10.png"/>

      </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F11" specific-use="star"><label>Figure 11</label><caption><p id="d1e3629">Time series of daily maximum <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, 8 h moving average <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
24 h mean <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, daily maximum <inline-formula><mml:math id="M229" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and 24 h mean PM<inline-formula><mml:math id="M230" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> for
Shanghai from April 2016 until June 2017.</p></caption>
        <?xmltex \igopts{width=625.96063pt, angle=90}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/1241/2019/gmd-12-1241-2019-f11.png"/>

      </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F12" specific-use="star"><label>Figure 12</label><caption><p id="d1e3694">Calculated (ensemble median) and observed time series of daily maximum
<inline-formula><mml:math id="M231" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, 8 h moving average <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, 24 h mean <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, daily maximum
<inline-formula><mml:math id="M234" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and 24 h mean PM<inline-formula><mml:math id="M235" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> for Guangzhou from April 2016 until June 2017.</p></caption>
        <?xmltex \igopts{width=625.96063pt, angle=90}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/1241/2019/gmd-12-1241-2019-f12.png"/>

      </fig>

      <p id="d1e3756">In Beijing and Shanghai, the daily maximum ozone concentrations exceeded the thresholds
of 160 (moderate) and 200 (lightly polluted) within the considered time period only
during the months of April to September 2016. During the months of October 2016 to March
2017, the ozone concentrations remained below the threshold of 160, highlighting fair air
quality conditions with regard to ozone in wintertime. In Beijing, the ensemble median
has a probability of detection of air pollution events for moderate 1 h ozone AQI<?pagebreak page1253?> of
0.44 (55 out of 126 events of 1 h ozone breaking the threshold of
160 <inline-formula><mml:math id="M236" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M237" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> have been detected). The FAR is 0.05; the model ensemble
predicted 58 events where ozone exceeds the threshold of 160 <inline-formula><mml:math id="M238" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M239" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
where 3 out of these 58 events were false alarms (observations below the threshold).
Lightly polluted events (1 h ozone exceeding 200 <inline-formula><mml:math id="M240" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M241" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) were correctly
predicted only 14 times, while the observations exceeded the threshold 79 times. The FAR
for lightly polluted ozone events is 0.12 (2 out of 16).</p>
      <p id="d1e3820">For moderately polluted ozone events (1 h ozone exceeding 300 <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M243" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>),
the POD is 0; the model ensemble was not able to predict the four observed events (FAR is
not applicable, 0 out of 0).</p>
      <?pagebreak page1257?><p id="d1e3843">Looking at the 8 h ozone predictions for Beijing, the model ensemble is very similar,
with a POD of 0.45 (864 out of the 1921 observed events have been predicted correctly)
and a FAR of 0.06 (56 counts are false alarms out of 920 events). For lightly polluted
ozone conditions, the POD is 0.18 (118 out of 657 observed events) with a FAR <inline-formula><mml:math id="M244" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.06
(7 out of 125 are false alarms). For moderately polluted conditions, the model ensemble
predicted 7 out of 150 observed events correctly with a FAR of 0.22 (2 out of 9 alarms
are false).</p>
      <p id="d1e3853">For Shanghai, the PODs for ozone predictions are lower than in Beijing: for moderate air
quality conditions, the POD is 0.16 (15 out of 92 observed events are predicted
correctly) with a FAR of 0 (no false alarm) for 1 h ozone predictions, and
POD <inline-formula><mml:math id="M245" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.21 (488 out of 2346 observed events) with a FAR of 0.01 (7 false alarms
relative to 495 counts) for 8 h ozone predictions. For lightly polluted conditions, the
POD is decreasing: POD <inline-formula><mml:math id="M246" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.08 (3 correct predictions out of 38 observed events) with
FAR of 0 (no false alarm, 3 correct predictions) for 1 h ozone, and POD <inline-formula><mml:math id="M247" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.07 (27
out of 398 observed) with a FAR of 0.10 (3 false alarms out of 30) for 8 h ozone. For
moderately polluted conditions (1 h ozone exceeding 300 <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M249" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> or 8 h
ozone exceeding 215 <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M251" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), the POD for 1 h ozone is not applicable
(not predicted, no observed events), and for 8 h ozone POD <inline-formula><mml:math id="M252" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0 (0 predicted out of
the 29 observed), FAR <inline-formula><mml:math id="M253" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1 (2 false alarms out of 2 predicted, but not observed).</p>
      <p id="d1e3932">In Guangzhou, there is no clear difference between ozone conditions in summer or
wintertime during the considered time period. Ozone observations regularly exceed the
threshold of 160 (moderate) and 200 <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M255" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (lightly polluted) during the
whole time period, and five times 1 h ozone is exceeding the threshold of
300 <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M257" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>
      <p id="d1e3976">The POD of 1 h ozone in Guangzhou is 0.16 (15 correct predictions out of
94 observed) with FAR <inline-formula><mml:math id="M258" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.21 (4 false alarms out of 19 predicted) for
moderate conditions, and POD <inline-formula><mml:math id="M259" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.03 (1 predicted out of 36 observed) with
FAR <inline-formula><mml:math id="M260" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0 (0 out of 1 predicted) for lightly polluted conditions, and
POD <inline-formula><mml:math id="M261" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0 (0 predicted out of 5 observed events) for moderately polluted
ozone conditions. For 8 h ozone, the POD is 0.31 (315 correct predicted out
of 1032 observed) with FAR <inline-formula><mml:math id="M262" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.28 (122 false alarms of 437 predicted
events) for moderate conditions, POD <inline-formula><mml:math id="M263" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.06 (12 out of 217 observed) with
FAR <inline-formula><mml:math id="M264" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0 (no false alarm out of 12 predicted events) for lightly polluted
ozone conditions, and POD <inline-formula><mml:math id="M265" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0 (0 out of 47 observed events) for
moderately polluted ozone conditions.</p>
      <p id="d1e4036">In general, the ability of the model ensemble to correctly predict ozone air
pollution events is best for light ozone pollution, while it fails to predict
correctly the ozone pollution events for moderately polluted situations. This
is mostly a result of the model ensemble being too low compared to the
observations. The predictions can be improved by applying a bias correction
to the ozone predictions. This is investigated in the last section.</p>
      <p id="d1e4039">The <inline-formula><mml:math id="M266" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> predictions of the ensemble median are in general too high compared to
the observations, especially in Beijing and Shanghai. Especially in summertime
(June/July/August/September), the model predictions are sometimes twice as high as the
observations, which might be a result of uncertainties in the emissions. In all three
cities under consideration, the <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations are only exceeding the
thresholds of 40 <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M269" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for 24 h <inline-formula><mml:math id="M270" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (100 for 1 h
<inline-formula><mml:math id="M271" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and 80 <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M273" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for 24 h <inline-formula><mml:math id="M274" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
(200 <inline-formula><mml:math id="M275" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M276" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for 1 h <inline-formula><mml:math id="M277" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) during the considered period
(moderate and lightly polluted conditions for <inline-formula><mml:math id="M278" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). During wintertime
(November/December/January), the observations are slightly higher than in summer and the
ensemble system is in better agreement with the observations.</p>
      <p id="d1e4181">In Beijing, the POD for 24 h <inline-formula><mml:math id="M279" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is 1 (214 of 214 observed events are
predicted) for moderate conditions with a FAR of 0.46 (180 false alarms relative to
394 predicted events). This indicates that <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is generally overestimated by
the model ensemble. For lightly polluted events, the POD is 0.79 (27 predicted out of
34 observed events) with FAR <inline-formula><mml:math id="M281" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.70 (63 false alarms out of 90 predicted). For the
1 h <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the POD for moderate conditions is 0.61 (36 out of 59 observed
events) with FAR <inline-formula><mml:math id="M283" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.80 (141 false alarms out of 177 predicted). For lightly polluted
conditions, no events have been observed nor predicted for 1 h <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in Beijing
during the considered period. In Beijing, the threshold for moderately polluted
<inline-formula><mml:math id="M285" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> conditions has not been exceeded neither by 1 h <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> nor by 24 h
<inline-formula><mml:math id="M287" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> during the considered period.</p>
      <p id="d1e4276">In Shanghai, the numbers are very similar to those in Beijing: POD for
24 h <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is 1 (208 of 208 observed events are predicted) for
moderate conditions with a FAR of 0.42 (152 false alarms of 360 predicted
events). There is also a general overestimation by the model ensemble
compared to the observations. For lightly polluted conditions, the POD for
24 h <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is 0.67 (10 out of 15 observed) and a FAR of 0.86 (60 false
alarms of 70 predicted), which is a clear result of the overestimated
<inline-formula><mml:math id="M290" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. For the 1 h <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the POD is 0.91 (48 predicted out of 53 observed) with a FAR of 0.70 (111 false alarms out of 159 predicted) for
moderate conditions. The thresholds for lightly polluted and moderately
polluted conditions for 1 h <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> have not been exceeded in Shanghai
during the considered period, but there was 1 false alarm (1 out of 1) for
lightly polluted conditions.</p>
      <p id="d1e4334">In Guangzhou, the model ensemble and the observations for <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are
in better agreement. There is slight overestimation of the <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations from May to September 2016, and in May 2017, but in general,
there is a good agreement between the model time series and the observations.
The POD for 24 h <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> exceeding the threshold for moderate
conditions is 0.94 (208 predicted out of 222 observed) with a FAR of 0.35
(110 false alarms of 318 predicted events), for lightly polluted conditions
POD is 0.56 (15 predicted out of 27 observed) with 32 false alarms out of
47 predicted events (FAR <inline-formula><mml:math id="M296" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.69). Stronger polluted events have not been
observed nor predicted for <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in Guangzhou. For the 1 h
<inline-formula><mml:math id="M298" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, 58 events have been predicted out of 76 observed for moderate
conditions (POD <inline-formula><mml:math id="M299" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.76, FAR <inline-formula><mml:math id="M300" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.63; 97 false alarms out of
155 predicted). For lightly polluted conditions there was<?pagebreak page1258?> 1 false alarm (1
out of 1), with no observed nor predicted events.</p>
      <p id="d1e4415">The thresholds for moderately polluted conditions for 24 h <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
1 h <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> have not been exceeded in Guangzhou during the considered
period, no events have been predicted nor observed.</p>
      <p id="d1e4440">The predictions of PM<inline-formula><mml:math id="M303" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations (24 h PM<inline-formula><mml:math id="M304" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>) of the model
ensemble are in very good agreement with the observations in all three
cities during the considered period.</p>
      <p id="d1e4461">In Beijing, the POD for the prediction of moderate condition for 24 h PM<inline-formula><mml:math id="M305" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> is 0.95
(268 correctly predicted events out of 283 observed) with a FAR of 0.19 (61 false alarms
out of 329 predicted events). For lightly polluted conditions, the POD is 0.76
(111 correctly predicted events of 146 observed events) with a FAR of 0.28 (43 false
alarms for 154 predicted events). Moderately polluted PM<inline-formula><mml:math id="M306" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> events have been
correctly predicted 33 times out of 64 observed events (POD <inline-formula><mml:math id="M307" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.52) with a FAR of
0.35 (18 false alarms out of 51 predicted events).</p>
      <p id="d1e4489">In Shanghai, 191 moderate pollution events for PM<inline-formula><mml:math id="M308" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> have been correctly predicted
out of 220 observed events (POD <inline-formula><mml:math id="M309" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.87, FAR <inline-formula><mml:math id="M310" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.19), with 46 false alarms out of
the 237 predicted events. For lightly polluted events, the POD is 0.84 (32 out of
38 observed events) with a FAR of o.47 (28 false alarms of 60 predicted events). For
moderately polluted conditions of PM<inline-formula><mml:math id="M311" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, the POD is 0.50 (3 correctly predicted
events out of 6 observed) with a relatively high FAR (0.67, 6 false alarms out of 9
predicted).</p>
      <p id="d1e4524">In Guangzhou, the POD for moderate conditions of PM<inline-formula><mml:math id="M312" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> is 0.85 (149 correctly
predicted out of 175 observed) with 65 false alarms out of 214 predicted events
(FAR <inline-formula><mml:math id="M313" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.30). Lightly polluted events have been observed only seven times, the
ensemble median predicted four of them correctly (POD <inline-formula><mml:math id="M314" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.57), but with a very high
false alarm rate (16 false alarms out of 20 predicted events, FAR <inline-formula><mml:math id="M315" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.80); this
indicates a slight overestimation of the PM<inline-formula><mml:math id="M316" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations of the models compared
to the observations. In Guangzhou, no moderately polluted events of PM<inline-formula><mml:math id="M317" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> have been
observed nor predicted during the considered period.</p>
      <p id="d1e4576">Only in Beijing, and only with regard to 24 h PM<inline-formula><mml:math id="M318" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, heavily polluted
conditions have been observed and predicted during the considered period in
the winter months 2016/2017 (see Table 4): the POD is 0.5 (18 correctly
predicted out of 36 observed events) with a FAR of 0.28 (7 false alarms out
of 25).</p>
      <p id="d1e4589">These investigations show that the model ensemble is well suited to be used in air
quality predictions of PM<inline-formula><mml:math id="M319" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>. For ozone, due to biases of the model ensemble
compared to observations, the model ensemble is not able to predict ozone pollution in an
appropriate way. Although the FAR is very low for ozone predictions, the POD of model
ensemble is not very high. In the following section, we apply bias correction to improve
the predictions for ozone pollution events.</p>
<sec id="Ch1.S5.SSx1" specific-use="unnumbered">
  <title>Bias correction for ozone predictions</title>
      <p id="d1e4606">Bias corrections can be applied to improve the predictions of an individual
model or a model ensemble. In our case, we have calculated the summertime
bias of the time series of the hourly ozone concentrations from the model
ensemble with respect to the hourly observations, and subtracted the bias
from the hourly time series. For predictions of ozone air pollution, the
summertime is an appropriate season to consider since the ozone thresholds
are exceeded only during this season. As the bias between the observations
and the model might not be the same for each month, and our goal is to obtain
the best improvement in the ozone predictions for summertime, we have
subtracted the mean summertime bias (mean of the bias of
June/July/August/September 2016) from the original time series. The daily
maximum ozone values and the 8 h moving average for the corrected time
series have then been calculated. The resulting POD and FAR for 1 h ozone
and 8 h ozone under different air quality conditions are shown in Table 3.
This table shows that, for bias-corrected predictions, the POD in all three
cities is larger than for the noncorrected time series, especially in the
case of moderate and lightly polluted conditions of ozone. Thus, the
predictions of air pollution events are significantly improved when the bias
correction is applied in the case of ozone. Only for the predictions of
moderately polluted conditions of ozone, the POD is not changing. The FAR is
also slightly decreasing for all cities, but the improvement is small.</p>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T3" specific-use="star"><label>Table 3</label><caption><p id="d1e4612">POD and FAR for Beijing, Shanghai, and Guangzhou.</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="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col4" align="center" colsep="1">Probability of detection (POD)  </oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col7" align="center">False alarm rate (FAR)  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">AQI 2</oasis:entry>
         <oasis:entry colname="col3">AQI 3</oasis:entry>
         <oasis:entry colname="col4">AQI 4</oasis:entry>
         <oasis:entry colname="col5">AQI 2</oasis:entry>
         <oasis:entry colname="col6">AQI 3</oasis:entry>
         <oasis:entry colname="col7">AQI 4</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(moderate)</oasis:entry>
         <oasis:entry colname="col3">(lightly poll.)</oasis:entry>
         <oasis:entry colname="col4">(moderately poll.)</oasis:entry>
         <oasis:entry colname="col5">(moderate)</oasis:entry>
         <oasis:entry colname="col6">(lightly poll.)</oasis:entry>
         <oasis:entry colname="col7">(moderately poll.)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col5">Beijing </oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1 h <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M321" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M322" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">0.44</oasis:entry>
         <oasis:entry colname="col3">0.18</oasis:entry>
         <oasis:entry colname="col4">0</oasis:entry>
         <oasis:entry colname="col5">0.05</oasis:entry>
         <oasis:entry colname="col6">0.12</oasis:entry>
         <oasis:entry colname="col7">NA</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(55/126)</oasis:entry>
         <oasis:entry colname="col3">(14/79)</oasis:entry>
         <oasis:entry colname="col4">(0/4)</oasis:entry>
         <oasis:entry colname="col5">(3/58)</oasis:entry>
         <oasis:entry colname="col6">(2/16)</oasis:entry>
         <oasis:entry colname="col7">(0/0)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Bias-corrected 1 h <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.69</oasis:entry>
         <oasis:entry colname="col3">0.41</oasis:entry>
         <oasis:entry colname="col4">0</oasis:entry>
         <oasis:entry colname="col5">0.10</oasis:entry>
         <oasis:entry colname="col6">0.20</oasis:entry>
         <oasis:entry colname="col7">NA</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">(<inline-formula><mml:math id="M324" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M325" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">(87/126)</oasis:entry>
         <oasis:entry colname="col3">(32/79)</oasis:entry>
         <oasis:entry colname="col4">(0/4)</oasis:entry>
         <oasis:entry colname="col5">(10/97)</oasis:entry>
         <oasis:entry colname="col6">(8/40)</oasis:entry>
         <oasis:entry colname="col7">(0/0)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">8 h <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M327" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M328" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">0.45</oasis:entry>
         <oasis:entry colname="col3">0.18</oasis:entry>
         <oasis:entry colname="col4">0.05</oasis:entry>
         <oasis:entry colname="col5">0.06</oasis:entry>
         <oasis:entry colname="col6">0.06</oasis:entry>
         <oasis:entry colname="col7">0.22</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(864/1921)</oasis:entry>
         <oasis:entry colname="col3">(118/657)</oasis:entry>
         <oasis:entry colname="col4">(7/150)</oasis:entry>
         <oasis:entry colname="col5">(56/920)</oasis:entry>
         <oasis:entry colname="col6">(7/125)</oasis:entry>
         <oasis:entry colname="col7">(2/9)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Bias-corrected 8 h <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.76</oasis:entry>
         <oasis:entry colname="col3">0.44</oasis:entry>
         <oasis:entry colname="col4">0.23</oasis:entry>
         <oasis:entry colname="col5">0.23</oasis:entry>
         <oasis:entry colname="col6">0.21</oasis:entry>
         <oasis:entry colname="col7">0.28</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">(<inline-formula><mml:math id="M330" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M331" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">(1452/1921)</oasis:entry>
         <oasis:entry colname="col3">(291/657)</oasis:entry>
         <oasis:entry colname="col4">(34/150)</oasis:entry>
         <oasis:entry colname="col5">(424/1876)</oasis:entry>
         <oasis:entry colname="col6">(81/372)</oasis:entry>
         <oasis:entry colname="col7">(13/47)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">24 h <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M333" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M334" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">0.79</oasis:entry>
         <oasis:entry colname="col4">NA</oasis:entry>
         <oasis:entry colname="col5">0.46</oasis:entry>
         <oasis:entry colname="col6">0.70</oasis:entry>
         <oasis:entry colname="col7">NA</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(214/214)</oasis:entry>
         <oasis:entry colname="col3">(27/34)</oasis:entry>
         <oasis:entry colname="col4">(0/0)</oasis:entry>
         <oasis:entry colname="col5">(180/394)</oasis:entry>
         <oasis:entry colname="col6">(63/90)</oasis:entry>
         <oasis:entry colname="col7">(0/0)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1 h <inline-formula><mml:math id="M335" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M336" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M337" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">0.61</oasis:entry>
         <oasis:entry colname="col3">NA</oasis:entry>
         <oasis:entry colname="col4">NA</oasis:entry>
         <oasis:entry colname="col5">0.80</oasis:entry>
         <oasis:entry colname="col6">NA</oasis:entry>
         <oasis:entry colname="col7">NA</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(36/59)</oasis:entry>
         <oasis:entry colname="col3">(0/0)</oasis:entry>
         <oasis:entry colname="col4">(0/0)</oasis:entry>
         <oasis:entry colname="col5">(141/177)</oasis:entry>
         <oasis:entry colname="col6">(0/0)</oasis:entry>
         <oasis:entry colname="col7">(0/0)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">24 h PM<inline-formula><mml:math id="M338" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M339" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M340" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">0.95</oasis:entry>
         <oasis:entry colname="col3">0.76</oasis:entry>
         <oasis:entry colname="col4">0.52</oasis:entry>
         <oasis:entry colname="col5">0.19</oasis:entry>
         <oasis:entry colname="col6">0.28</oasis:entry>
         <oasis:entry colname="col7">0.35</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(268/283)</oasis:entry>
         <oasis:entry colname="col3">(111/146)</oasis:entry>
         <oasis:entry colname="col4">(33/64)</oasis:entry>
         <oasis:entry colname="col5">(61/329)</oasis:entry>
         <oasis:entry colname="col6">(43/154)</oasis:entry>
         <oasis:entry colname="col7">(18/51)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col5">Shanghai </oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1 h <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M342" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M343" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">0.16</oasis:entry>
         <oasis:entry colname="col3">0.08</oasis:entry>
         <oasis:entry colname="col4">NA</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
         <oasis:entry colname="col6">0</oasis:entry>
         <oasis:entry colname="col7">NA</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(15/92)</oasis:entry>
         <oasis:entry colname="col3">(3/38)</oasis:entry>
         <oasis:entry colname="col4">(0/0)</oasis:entry>
         <oasis:entry colname="col5">(0/15)</oasis:entry>
         <oasis:entry colname="col6">(0/3)</oasis:entry>
         <oasis:entry colname="col7">(0/0)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Bias-corrected 1 h <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.51</oasis:entry>
         <oasis:entry colname="col3">0.34</oasis:entry>
         <oasis:entry colname="col4">NA</oasis:entry>
         <oasis:entry colname="col5">0.10</oasis:entry>
         <oasis:entry colname="col6">0.07</oasis:entry>
         <oasis:entry colname="col7">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">(<inline-formula><mml:math id="M345" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M346" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">(47/92)</oasis:entry>
         <oasis:entry colname="col3">(13/38)</oasis:entry>
         <oasis:entry colname="col4">(0/0)</oasis:entry>
         <oasis:entry colname="col5">(5/52)</oasis:entry>
         <oasis:entry colname="col6">(1/14)</oasis:entry>
         <oasis:entry colname="col7">(1/1)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">8 h <inline-formula><mml:math id="M347" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M348" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M349" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">0.21</oasis:entry>
         <oasis:entry colname="col3">0.07</oasis:entry>
         <oasis:entry colname="col4">0</oasis:entry>
         <oasis:entry colname="col5">0.01</oasis:entry>
         <oasis:entry colname="col6">0.10</oasis:entry>
         <oasis:entry colname="col7">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(488/2346)</oasis:entry>
         <oasis:entry colname="col3">(27(398)</oasis:entry>
         <oasis:entry colname="col4">(0/29)</oasis:entry>
         <oasis:entry colname="col5">(7/495)</oasis:entry>
         <oasis:entry colname="col6">(3/30)</oasis:entry>
         <oasis:entry colname="col7">(2/2)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Bias-corrected 8 h <inline-formula><mml:math id="M350" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.66</oasis:entry>
         <oasis:entry colname="col3">0.27</oasis:entry>
         <oasis:entry colname="col4">0.10</oasis:entry>
         <oasis:entry colname="col5">0.32</oasis:entry>
         <oasis:entry colname="col6">0.13</oasis:entry>
         <oasis:entry colname="col7">0.80</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">(<inline-formula><mml:math id="M351" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M352" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">(1554/2346)</oasis:entry>
         <oasis:entry colname="col3">(109/398)</oasis:entry>
         <oasis:entry colname="col4">(3/29)</oasis:entry>
         <oasis:entry colname="col5">(726/2280)</oasis:entry>
         <oasis:entry colname="col6">(16/125)</oasis:entry>
         <oasis:entry colname="col7">(12/15)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">24 h <inline-formula><mml:math id="M353" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M354" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M355" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">0.67</oasis:entry>
         <oasis:entry colname="col4">NA</oasis:entry>
         <oasis:entry colname="col5">0.42</oasis:entry>
         <oasis:entry colname="col6">0.86</oasis:entry>
         <oasis:entry colname="col7">NA</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(208/208)</oasis:entry>
         <oasis:entry colname="col3">(10/15)</oasis:entry>
         <oasis:entry colname="col4">(0/0)</oasis:entry>
         <oasis:entry colname="col5">(152/360)</oasis:entry>
         <oasis:entry colname="col6">(60/70)</oasis:entry>
         <oasis:entry colname="col7">(0/0)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1 h <inline-formula><mml:math id="M356" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M357" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M358" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">0.91</oasis:entry>
         <oasis:entry colname="col3">NA</oasis:entry>
         <oasis:entry colname="col4">NA</oasis:entry>
         <oasis:entry colname="col5">0.70</oasis:entry>
         <oasis:entry colname="col6">1</oasis:entry>
         <oasis:entry colname="col7">NA</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(48/53)</oasis:entry>
         <oasis:entry colname="col3">(0/0)</oasis:entry>
         <oasis:entry colname="col4">(0/0)</oasis:entry>
         <oasis:entry colname="col5">(111/159)</oasis:entry>
         <oasis:entry colname="col6">(1/1)</oasis:entry>
         <oasis:entry colname="col7">(0/0)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">24 h PM<inline-formula><mml:math id="M359" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M360" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M361" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">0.87</oasis:entry>
         <oasis:entry colname="col3">0.84</oasis:entry>
         <oasis:entry colname="col4">0.50</oasis:entry>
         <oasis:entry colname="col5">0.19</oasis:entry>
         <oasis:entry colname="col6">0.47</oasis:entry>
         <oasis:entry colname="col7">0.67</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(191/220)</oasis:entry>
         <oasis:entry colname="col3">(32/38)</oasis:entry>
         <oasis:entry colname="col4">(3/6)</oasis:entry>
         <oasis:entry colname="col5">(46/237)</oasis:entry>
         <oasis:entry colname="col6">(28/60)</oasis:entry>
         <oasis:entry colname="col7">(6/9)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col5">Guangzhou </oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1 h <inline-formula><mml:math id="M362" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M363" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M364" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">0.16</oasis:entry>
         <oasis:entry colname="col3">0.03</oasis:entry>
         <oasis:entry colname="col4">0</oasis:entry>
         <oasis:entry colname="col5">0.21</oasis:entry>
         <oasis:entry colname="col6">0</oasis:entry>
         <oasis:entry colname="col7">NA</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(15/94)</oasis:entry>
         <oasis:entry colname="col3">(1/36)</oasis:entry>
         <oasis:entry colname="col4">(0/5)</oasis:entry>
         <oasis:entry colname="col5">(4/19)</oasis:entry>
         <oasis:entry colname="col6">(0/1)</oasis:entry>
         <oasis:entry colname="col7">(0/0)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Bias-corrected 1 h <inline-formula><mml:math id="M365" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.32</oasis:entry>
         <oasis:entry colname="col3">0.14</oasis:entry>
         <oasis:entry colname="col4">0</oasis:entry>
         <oasis:entry colname="col5">0.33</oasis:entry>
         <oasis:entry colname="col6">0.29</oasis:entry>
         <oasis:entry colname="col7">NA</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">(<inline-formula><mml:math id="M366" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M367" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">(30/94)</oasis:entry>
         <oasis:entry colname="col3">(5/36)</oasis:entry>
         <oasis:entry colname="col4">(0/5)</oasis:entry>
         <oasis:entry colname="col5">(15/45)</oasis:entry>
         <oasis:entry colname="col6">(2/7)</oasis:entry>
         <oasis:entry colname="col7">(0/0)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">8 h <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M369" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M370" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">0.31</oasis:entry>
         <oasis:entry colname="col3">0.06</oasis:entry>
         <oasis:entry colname="col4">0</oasis:entry>
         <oasis:entry colname="col5">0.28</oasis:entry>
         <oasis:entry colname="col6">0</oasis:entry>
         <oasis:entry colname="col7">NA</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(315/1032)</oasis:entry>
         <oasis:entry colname="col3">(12/217)</oasis:entry>
         <oasis:entry colname="col4">(0/47)</oasis:entry>
         <oasis:entry colname="col5">(122/437)</oasis:entry>
         <oasis:entry colname="col6">(0/12)</oasis:entry>
         <oasis:entry colname="col7">(0/0)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Bias-corrected 8 h <inline-formula><mml:math id="M371" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.49</oasis:entry>
         <oasis:entry colname="col3">0.13</oasis:entry>
         <oasis:entry colname="col4">0</oasis:entry>
         <oasis:entry colname="col5">0.37</oasis:entry>
         <oasis:entry colname="col6">0.19</oasis:entry>
         <oasis:entry colname="col7">NA</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">(<inline-formula><mml:math id="M372" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M373" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">(508/1032)</oasis:entry>
         <oasis:entry colname="col3">(29/217)</oasis:entry>
         <oasis:entry colname="col4">(0/47)</oasis:entry>
         <oasis:entry colname="col5">(296/804)</oasis:entry>
         <oasis:entry colname="col6">(7/36)</oasis:entry>
         <oasis:entry colname="col7">(0/0)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">24 h <inline-formula><mml:math id="M374" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M375" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M376" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">0.94</oasis:entry>
         <oasis:entry colname="col3">0.56</oasis:entry>
         <oasis:entry colname="col4">NA</oasis:entry>
         <oasis:entry colname="col5">0.35</oasis:entry>
         <oasis:entry colname="col6">0.68</oasis:entry>
         <oasis:entry colname="col7">NA</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(208/222)</oasis:entry>
         <oasis:entry colname="col3">(15/27)</oasis:entry>
         <oasis:entry colname="col4">(0/0)</oasis:entry>
         <oasis:entry colname="col5">(110/318)</oasis:entry>
         <oasis:entry colname="col6">(32/47)</oasis:entry>
         <oasis:entry colname="col7">(0/0)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1 h <inline-formula><mml:math id="M377" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M378" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M379" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">0.76</oasis:entry>
         <oasis:entry colname="col3">NA</oasis:entry>
         <oasis:entry colname="col4">NA</oasis:entry>
         <oasis:entry colname="col5">0.63</oasis:entry>
         <oasis:entry colname="col6">1</oasis:entry>
         <oasis:entry colname="col7">NA</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(58/76)</oasis:entry>
         <oasis:entry colname="col3">(0/0)</oasis:entry>
         <oasis:entry colname="col4">(0/0)</oasis:entry>
         <oasis:entry colname="col5">(97/155)</oasis:entry>
         <oasis:entry colname="col6">(1/1)</oasis:entry>
         <oasis:entry colname="col7">(0/0)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">24 h PM<inline-formula><mml:math id="M380" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M381" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M382" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">0.85</oasis:entry>
         <oasis:entry colname="col3">0.57</oasis:entry>
         <oasis:entry colname="col4">NA</oasis:entry>
         <oasis:entry colname="col5">0.30</oasis:entry>
         <oasis:entry colname="col6">0.80</oasis:entry>
         <oasis:entry colname="col7">NA</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(149/175)</oasis:entry>
         <oasis:entry colname="col3">(4/7)</oasis:entry>
         <oasis:entry colname="col4">(0/0)</oasis:entry>
         <oasis:entry colname="col5">(65/214)</oasis:entry>
         <oasis:entry colname="col6">(16/20)</oasis:entry>
         <oasis:entry colname="col7">(0/0)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e6411">In Beijing, the POD air pollution events represented by a moderate AQI for 1 h ozone
increased from 0.44 for Beijing (55 out of 126 observed events) before bias correction to
0.69 (87 out of 126 events) after bias correction. The FAR also increased from 0.05
(3 false alarms out of these 58 events) to 0.10 (10 false alarms out of 97 predicted
events). Lightly polluted events (1 h ozone exceeding 200 <inline-formula><mml:math id="M383" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M384" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) have
been predicted correctly 31 times (14 times without the corrections), while the
observations exceeded the threshold 79 times. The FAR for lightly polluted ozone events
also slightly increased from 0.125 (2 out of 16) to 0.2 (8 false alarms out of 40).</p>
      <p id="d1e6434">For moderately polluted ozone events (1 h ozone exceeding 300 <inline-formula><mml:math id="M385" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M386" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), the POD for the bias-corrected prediction is still 0. The model
ensemble was not able to predict the 4 observed events (FAR is not
applicable, 0 out of 0).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4"><label>Table 4</label><caption><p id="d1e6461">POD and FAR for PM<inline-formula><mml:math id="M387" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> for Beijing under heavily polluted
conditions.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <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:thead>
       <oasis:row>
         <oasis:entry colname="col1">Beijing AQI, heavily</oasis:entry>
         <oasis:entry colname="col2">POD</oasis:entry>
         <oasis:entry colname="col3">FAR</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">polluted</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">24 h PM<inline-formula><mml:math id="M388" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.50</oasis:entry>
         <oasis:entry colname="col3">0.28</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">(<inline-formula><mml:math id="M389" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M390" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">(18/36)</oasis:entry>
         <oasis:entry colname="col3">(7/25)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?pagebreak page1260?><p id="d1e6564">Looking at the 8 h ozone predictions for Beijing, the POD of 0.45 (864 out of the
1921 observed events have been predicted correctly) increased to 0.76 (1452 out of 1921)
after bias corrections, and the FAR from 0.06 (56 counts are false alarms out of 920) to
0.23 (424 false alarms out of 1876 predictions) for moderate ozone pollution. For lightly
polluted ozone conditions, the POD increased to 0.44 (291 out of 657) and FAR is 0.22 (81
false alarms of 372 predicted) for the bias-corrected predictions compared to POD is 0.18
(118 out of 657 observed events) with a FAR is 0.06 (7 out of 125 are false alarm). For
moderately polluted conditions, the model ensemble with bias-corrected predicted 27
(instead of only 7) out of 150 observed events correctly with a FAR of 0.28 (13 false
alarms of 47 predictions) compared to FAR of 0.22 (2 out of 9 are false alarm).</p>
      <p id="d1e6567">For Shanghai, for moderate air quality conditions of ozone, the POD increased
from 0.16 to 0.51 (47 – 15 for noncorrected – out of 92 observed events are
predicted correctly); the FAR increased from 0 (no false alarm) to 0.10
(5 false alarms out of 52) for 1 h ozone predictions. For 8 h ozone
predictions, the POD increased from 0.21 to 0.66 (1554 – noncorrected: 488
– out of 2346 observed events), the FAR increased from 0.01 (7 false alarms
of 495 predicted events) to 0.32 (726 false alarms of 2280 counts) for 8 h
ozone predictions. For lightly polluted ozone conditions, the POD increased
from 0.08 (3 correct predictions out of 38 observed, with FAR of 0; no false
alarm, 3 correct predictions) to POD is 0.34 (13 out of 38) with FAR is 0.07
(1 false alarm of 14 predicted events) for 1 h ozone, and for 8 h ozone,
the POD increased from 0.07 to 0.27 (109 – noncorrected: 27 – out of 398
observed) and the FAR increased from 0.10 (3 false alarms out of 30) to 0.13
(16 false alarms in 125 predicted events). For moderately polluted ozone
conditions, the POD for 1 h ozone is not applicable for both noncorrected
and bias-corrected predictions (not predicted, no observed events); but for
the bias-corrected prediction, one false alarm is observed (FAR <inline-formula><mml:math id="M391" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1, 1
false alarm in 1 predicted event), and for 8 h ozone POD increased from 0 to
0.10 (3 – noncorrected: 0 – predicted out of the 29 observed), the FAR
decreased from 1 (2 false alarms out of 2 predicted, but not observed) to 0.8
(12 false alarms of 15 predicted events).</p>
      <p id="d1e6577">In Guangzhou, the predictions are not as accurate as in Beijing and Shanghai, and the
bias corrections result only in slight improvements of the ozone forecasts for Guangzhou.
The POD of 1 h ozone in Guangzhou increased from 0.16 to 0.32 (30 – noncorrected: 15 –
correct predictions out of 94 observed) and the FAR slightly increased from 0.21 (4 false
alarms out of 19 predicted) to 0.33 (15 false alarms out of 45 predicted events) for
moderate conditions. For lightly polluted ozone conditions, the POD increased from 0.03
to 0.14 (5 – non corrected: 1 – predicted out of 36 observed) and the FAR increased
from 0 (0 out of 1 predicted) to 0.29 (2 false alarms of 7 predicted events). For
moderately polluted ozone predictions, the POD and FAR did not change with bias
corrections (POD <inline-formula><mml:math id="M392" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0 – 0 predicted out of 5 observed events – FAR not applicable).</p>
      <p id="d1e6587"><?xmltex \hack{\newpage}?>For 8 h ozone of moderate conditions, the POD increased from 0.31 to 0.49 (508 –
noncorrected: 315 – correct predicted out of 1032 observed) and the FAR increased from
0.28 (122 false alarms of 437 predicted events) to 0.37 (296 false alarms for
804 predictions). For lightly polluted ozone conditions the POD increased from 0.06 to
0.13 (29 – noncorrected: 12 – out of 217 observed) and the FAR increased from 0 (no
false alarm out of 12 predicted events) to 0.19 (7 false alarms for 36 predicted events).
For moderately polluted ozone conditions, the POD and FAR did not change with bias
corrections (POD <inline-formula><mml:math id="M393" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0 – 0 out of 47 observed events – FAR not applicable).</p>
      <p id="d1e6598">Figure 13a–c show the time series of the model ensemble, the bias-corrected time series
of the model ensemble and the observations. For the daily maximum ozone, the bias
correction results in a better agreement with the observations, which also results in
better event predictions. For 8 h ozone, there is better agreement during summertime,
while during the wintertime, the bias-corrected ozone time series are too high compared
to the observations (both correcting for the bias derived from the total time series, or
only from the summertime time series). This shows (as we have seen in Sect. 3.1) that the
bias is not the same during the whole year, and also that the diurnal cycle of ozone is
not well captured by the model ensemble. While the bias-corrected daily maximum ozone is
in better agreement with the observations, the 8 h bias-corrected moving average is too
high during wintertime (with very low ozone concentrations). As the ozone is too low in
winter to exceed the lowest threshold (moderate conditions) for air quality index
calculations, this is not affecting the quality of the event prediction. A more
sophisticated bias correction (bias correction with diurnal and annual variation
included) could be applied to further improve the predictions, provided that a longer
time series (more than 1 year of data) is available. The statistical bias correction can
then be used for the improvement of future predictions.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F13" specific-use="star"><label>Figure 13</label><caption><p id="d1e6604"> </p></caption>
          <?xmltex \igopts{width=625.96063pt, angle=90}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/1241/2019/gmd-12-1241-2019-f13-part01.png"/>

        </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F14" specific-use="star"><label>Figure 13</label><caption><p id="d1e6615"> </p></caption>
          <?xmltex \igopts{width=625.96063pt, angle=90}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/1241/2019/gmd-12-1241-2019-f13-part02.png"/>

        </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F15" specific-use="star"><label>Figure 13</label><caption><p id="d1e6626"><bold>(a, b)</bold> Time series of calculated (ensemble median) and observed daily
maximum and 8 h moving average <inline-formula><mml:math id="M394" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for Beijing and Shanghai together with the
bias-corrected calculated time series. <bold>(c)</bold> Time series of calculated (ensemble
median) and observed daily maximum and 8 h moving average <inline-formula><mml:math id="M395" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for Guangzhou
together with the bias-corrected calculated time series.</p></caption>
          <?xmltex \igopts{width=625.96063pt, angle=90}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/1241/2019/gmd-12-1241-2019-f13-part03.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions and future developments</title>
      <?pagebreak page1264?><p id="d1e6671">In this paper, we evaluate the forecasting system developed and implemented as part of
the EU Panda and MarcoPolo projects after a little more than 1 year of operation. The
forecasting system is based on an ensemble of seven state-of-the-art chemistry-transport
models (CHIMERE, EMEP, IFS, LOTOS-EUROS, WRF-Chem-MPIM, WRF-Chem-SMS, SILAMtest). Each
model is executed on a computer platform hosted by individual institutes in China and
Europe. Input for meteorological forcing, emissions, and boundary conditions have been
carefully chosen and adopted for the specific situation of China, but vary from model to
model. Every day, the forecasting system provides hourly forecasts for 3 days ahead for
four major chemical pollutants (<inline-formula><mml:math id="M396" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M397" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, PM<inline-formula><mml:math id="M398" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>, and PM<inline-formula><mml:math id="M399" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>)
together with hourly observational data provided by the Chinese observational network
(<uri>http://www.pm25.in</uri>).</p>
      <p id="d1e6717">The models, whose predictions are strongly influenced by the adopted weather forecast,
reproduce in general the regional features and capture many air pollution events. In most
cases, the model ensemble satisfactorily reproduces the day-to-day variability in the
concentrations of the primary and secondary air pollutants, and in particular predicts
the occurrence of pollution events a few days before they occur. Overall, and in spite of
some discrepancies, the air quality forecasting system is well suited for the prediction
of air pollution events and has the ability to be used for warning alerts (binary
prediction) for the general public, specifically if bias corrections are applied to
improve the ozone forecasts.</p>
      <p id="d1e6720">In most cases, the ensemble approach provides more accurate forecasts and reduces the
uncertainties in comparison with the individual model results. The calculation of the
median of all models is also relatively insensitive to model outliers, and is
computationally efficient. Using the ensemble median based on all models provides the
best performance for all species, as the relative performance of any individual model may
vary with time, space, and species. We showed that the ensemble product, even if
occasionally based on fewer models, is more useful than a single model of good quality,
and that the ensemble product is still robust compared to the observations if data from
some contributing models are occasionally missing.</p>
      <p id="d1e6723">Despite the fact that the prediction system is in its development phase and that the
resources available to improve the system are limited, the MarcoPolo–Panda forecasting
system can be viewed as already quite successful. The intercomparison presented in the
companion paper by Brasseur et al. (2019) and the present evaluation were performed to
diagnose differences between models, identify problems, and contribute to individual
model improvements. Specifically, the underestimation of ozone under high
<inline-formula><mml:math id="M400" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> conditions and the resulting errors in the diurnal cycle of ozone
need to be addressed in an effort to improve the model forecasts in China. Although major
efforts are ongoing to improve emission inventories for China, the remaining
uncertainties, especially in regard to local emissions, may partly explain the
differences between models and observations. This is the subject of further
investigation. Furthermore, data assimilation of satellite and in situ observations
should significantly improve the performance of the forecasting system (e.g., see Mizzi
et al., 2016). Finally, a more advanced approach to extract observations provided by the
Chinese network is expected to improve the model–data comparison.</p><?xmltex \hack{\newpage}?>
</sec>

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

      <p id="d1e6742">The models described here are operationally used by the
participating research and service organizations involved in the present
study. The data produced by the multimodel forecasting system are available
from the Royal Dutch Meteorological Institute (KNMI) upon request.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e6748">AKP was in charge of the WRF-Chem simulations and performed the evaluation
of the simulations. GPB coordinated the Panda project and contributed to the
analysis of the results provided by the WRF-Chem model. RvdA coordinated the
MarcoPolo project and was involved in the analysis of the results provided by
the CHIMERE model. IB and SW were in charge of the WRF-Chem simulations. YX,
JX, and GZ developed and used the WRF-Chem-SMS model. VHP and JF performed
the simulations with the IFS model. MG and MP were in charge of the
simulations performed by the EMEP model. FJ is in charge of the WRF-CMAQ
model. MS and RKo were responsible for the forecasts made by the SILAM model,
while RT, AS, and RKr were using the LOTOS-EUROS model. BM developed the
MarcoPolo and Panda web site and collected all the model results and
observational data.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e6754">The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e6760">The model intercomparison presented in the present study has been conducted during a
workshop organized in May 2017 by the Shanghai Meteorological Service (SMS) in China. The
authors thank Jianming Xu for hosting this meeting and providing support to the
participants. The ensemble of models described here has been produced under the Panda and
MarcoPolo projects supported by the European Commission within the Framework Program 7
(FP7) under grant agreements nos. 606719 and 606953. The National Centers for Atmospheric
Research (NCAR) is sponsored by the US National Science Foundation. We thank the two
anonymous reviewers whose comments helped improve and clarify this
manuscript.<?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.</p></ack><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e6770">This paper was edited by Augustin Colette and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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    <!--<article-title-html>Ensemble forecasts of air quality in eastern China – Part 2: Evaluation of the MarcoPolo–Panda prediction system, version 1</article-title-html>
<abstract-html><p>An operational multimodel forecasting system for air quality has been developed to
provide air quality services for urban areas of China. The initial forecasting system
included seven state-of-the-art computational models developed and executed in Europe and
China (CHIMERE, IFS, EMEP MSC-W, WRF-Chem-MPIM, WRF-Chem-SMS, LOTOS-EUROS, and
SILAMtest). Several other models joined the prediction system recently, but are not
considered in the present analysis. In addition to the individual models, a simple
multimodel ensemble was constructed by deriving statistical quantities such as the median
and the mean of the predicted concentrations.</p><p>The prediction system provides daily forecasts and observational data of
surface ozone, nitrogen dioxides, and particulate matter for the 37 largest
urban agglomerations in China (population higher than 3&thinsp;million in 2010).
These individual forecasts as well as the multimodel ensemble predictions for
the next 72&thinsp;h are displayed as hourly outputs on a publicly accessible web
site (<a href="http://www.marcopolo-panda.eu" target="_blank">http://www.marcopolo-panda.eu</a>, last access: 27 March 2019).</p><p>In this paper, the performance of the prediction system (individual models and the
multimodel ensemble) for the first operational year (April 2016 until June 2017) has been
analyzed through statistical indicators using the surface observational data reported at
Chinese national monitoring stations. This evaluation aims to investigate (a) the
seasonal behavior, (b) the geographical distribution, and (c) diurnal variations of the
ensemble and model skills. Statistical indicators show that the ensemble product usually
provides the best performance compared to the individual model forecasts. The ensemble
product is robust even if occasionally some individual model results are missing.</p><p>Overall, and in spite of some discrepancies, the air quality forecasting system is well
suited for the prediction of air pollution events and has the ability to provide warning
alerts (binary prediction) of air pollution events if bias corrections are applied to
improve the ozone predictions.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
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</mixed-citation></ref-html>
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