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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-21-16531-2021</article-id><title-group><article-title>Improving predictability of high-ozone episodes through dynamic boundary conditions, emission refresh and chemical data assimilation during the Long Island Sound Tropospheric <?xmltex \hack{\break}?>Ozone Study (LISTOS) field campaign</article-title><alt-title>Improving predictability of high-ozone episodes</alt-title>
      </title-group><?xmltex \runningtitle{Improving predictability of high-ozone episodes}?><?xmltex \runningauthor{S. Ma et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Ma</surname><given-names>Siqi</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff3">
          <name><surname>Tong</surname><given-names>Daniel</given-names></name>
          <email>qtong@gmu.edu</email>
        <ext-link>https://orcid.org/0000-0002-4255-4568</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4 aff5">
          <name><surname>Lamsal</surname><given-names>Lok</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff6">
          <name><surname>Wang</surname><given-names>Julian</given-names></name>
          <email>julian.wang@noaa.gov</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Zhang</surname><given-names>Xuelei</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff6">
          <name><surname>Tang</surname><given-names>Youhua</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7089-7915</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Saylor</surname><given-names>Rick</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Chai</surname><given-names>Tianfeng</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3520-2641</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Lee</surname><given-names>Pius</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff6">
          <name><surname>Campbell</surname><given-names>Patrick</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0987-8402</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff6">
          <name><surname>Baker</surname><given-names>Barry</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6431-2391</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Kondragunta</surname><given-names>Shobha</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Judd</surname><given-names>Laura</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Berkoff</surname><given-names>Timothy A.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Janz</surname><given-names>Scott J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <name><surname>Stajner</surname><given-names>Ivanka</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6103-3939</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Atmospheric, Oceanic and Earth Sciences, George Mason
University, Fairfax, VA 22030, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>National Research Council, hosted by the National Oceanic and
Atmospheric Administration Air Resources Lab, <?xmltex \hack{\break}?>College Park, MD 20740, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Center for Spatial Information Science and Systems, George Mason
University, Fairfax, VA 22030, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Atmospheric Chemistry and Dynamics Laboratory, NASA Goddard Space
Flight Center, MD 20771, USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Universities Space Research Association, Columbia, MD 21046, USA</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>National Oceanic and Atmospheric Administration (NOAA) Air Resources Laboratory, College Park, MD 22030, USA</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>NOAA National Environmental Satellite Data and Information Service,
College Park, MD 20740, USA</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>NASA Langley Research Center, Hampton, VA 23681, USA</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>NOAA National Weather Service National Centers for Environmental
Prediction, College Park, MD 20740, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Daniel Tong (qtong@gmu.edu) and Julian Wang (julian.wang@noaa.gov)</corresp></author-notes><pub-date><day>11</day><month>November</month><year>2021</year></pub-date>
      
      <volume>21</volume>
      <issue>21</issue>
      <fpage>16531</fpage><lpage>16553</lpage>
      <history>
        <date date-type="received"><day>19</day><month>December</month><year>2020</year></date>
           <date date-type="rev-request"><day>22</day><month>February</month><year>2021</year></date>
           <date date-type="rev-recd"><day>5</day><month>October</month><year>2021</year></date>
           <date date-type="accepted"><day>13</day><month>October</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 </copyright-statement>
        <copyright-year>2021</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e280">Although air quality in the United States has improved remarkably in
the past decades, ground-level ozone (O<inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> often rises in exceedance of
the national ambient air quality standard in nonattainment areas, including
the Long Island Sound (LIS) and its surrounding areas. Accurate prediction
of high-ozone episodes is needed to assist government agencies and the
public in mitigating harmful effects of air pollution. In this study, we
have developed a suite of potential forecast improvements, including dynamic
boundary conditions, rapid emission refresh and chemical data assimilation,
in a 3 km resolution Community Multiscale Air Quality (CMAQ) modeling
system. The purpose is to evaluate and assess the effectiveness of these
forecasting techniques, individually or in combination, in improving
forecast guidance for two major air pollutants: surface O<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and nitrogen
dioxide (NO<inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Experiments were conducted for a high-O<inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> episode
(28–29 August 2018) during the Long Island Sound Tropospheric Ozone Study
(LISTOS) field campaign, which provides abundant observations for evaluating model performance. The results show that these forecast system updates are useful in enhancing the capability of this 3 km forecasting model with varying effectiveness for different pollutants. For O<inline-formula><mml:math id="M5" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> prediction, the most significant improvement comes from the dynamic boundary conditions derived from the NOAA operational forecast system, National Air Quality Forecast Capability (NAQFC), which increases the correlation coefficient (<inline-formula><mml:math id="M6" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>) from 0.81 to 0.93 and reduces the root mean square error (RMSE) from 14.97 to 8.22 ppbv, compared to that with the static boundary conditions (BCs). The NO<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> from all high-resolution simulations outperforms that from the operational 12 km NAQFC simulation, regardless of the BCs used, highlighting the importance of spatially resolved emission and meteorology inputs for the prediction of short-lived pollutants. The effectiveness of improved initial concentrations through optimal interpolation (OI) is shown to be high in urban areas with high emission density. The influence of OI adjustment, however, is maintained for a longer period in rural areas, where emissions and chemical transformation make a smaller contribution to the O<inline-formula><mml:math id="M8" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> budget than<?pagebreak page16532?> that in high-emission areas. Following the assessment of individual updates, the forecasting system is configured with dynamic boundary conditions, optimal interpolation of initial concentrations and emission adjustment, to simulate a high-ozone episode during the 2018 LISTOS
field campaign. The newly developed forecasting system significantly reduces the bias of surface NO<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> prediction. When compared with the NASA Langley GeoCAPE Airborne Simulator (GCAS) vertical column density (VCD), this system is able to reproduce the NO<inline-formula><mml:math id="M10" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VCD with a higher correlation (0.74), lower normalized mean bias (40 %) and normalized mean error (61 %) than NAQFC (0.57, 45 % and 76 %, respectively). The 3 km system captures magnitude and timing of surface O<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> peaks and valleys better. In comparison with lidar, O<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> profile variability of the vertical O<inline-formula><mml:math id="M13" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is captured better by the new system (correlation coefficient of 0.71) than by NAQFC (correlation coefficient of 0.54). Although the experiments are limited to one pollution episode over the Long Island Sound, this study demonstrates feasible approaches to improve the predictability of high-O<inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> episodes in contemporary urban environments.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e424">Exposure to ambient air pollutants has been associated with detrimental
health effects, including cardiovascular diseases and premature deaths
(Brunekreef and Holgate, 2002; Kim, 2007; Héroux et al., 2015). Recent
decades have seen remarkable improvement in the air quality across the United
States. From 1990 to 2015, the United States Environmental Protection Agency
(US EPA) estimated that the emissions of nitrogen oxides (NO<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, a major
pollutant that controls regional ozone formation, were reduced from 25.2 to
<inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mn mathvariant="normal">11.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> t yr<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Feng et al., 2020). The downward trends in
NO<inline-formula><mml:math id="M18" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions have been verified by ground and satellite observations
in large cities (Tong et al., 2015) and in the eastern United States (Zhou
et al., 2013; Krotkov et al., 2016). Because of the substantial emission
reductions, ground-level ozone concentrations decreased ubiquitously across
the US (Hogrefe et al., 2011; Simon et al., 2015; He et al., 2020).</p>
      <p id="d1e475">Regardless of the tremendous improvement in air quality, more than one-third
of the US population still lives in areas exceeding the National Ambient Air
Quality Standards (NAAQS) for ozone (O<inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and/or fine particulate matter
(PM<inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (US EPA, 2020). Many of these ozone nonattainment areas are
located along the northeastern Interstate 95 (I-95, Interstate Highway on
the East Coast of the United States) corridor, where a high density of
emissions is produced by transportation and other industrial sources.
Surface ozone is formed from photochemical reactions between NO<inline-formula><mml:math id="M21" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and
volatile organic compounds (VOCs) (NRC, 1991), and the high emission density
of NO<inline-formula><mml:math id="M22" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> is a major controlling factor for high-ozone events in this
region.</p>
      <p id="d1e520">As part of the efforts to understand regional O<inline-formula><mml:math id="M23" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> pollution, a
multi-agency collaborative study of precursor emissions, ground-level
O<inline-formula><mml:math id="M24" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation and transport in the New York City (NYC) metropolitan
region and downwind locations, the Long Island Sound Tropospheric Ozone
Study (LISTOS), was launched. Extensive measurements were collected between
June and September 2018 within the NYC metropolitan area and over the Long
Island Sound (LIS). Multiple analyses of the ozone activities during this
field campaign have been conducted using numerical models (Baker et al.,
2019; Shu et al., 2019; Berkoff et al., 2019).</p>
      <p id="d1e541">Air quality forecasts are a critical tool used by environmental and public
health agencies to mitigate the detrimental effects of air pollution (Eder
et al., 2010; Oliveri Conti et al., 2017; Tong and Tang, 2018). Accurate
prediction of ambient ozone and its precursors remains challenging due to
inherent uncertainties in the model processes (transport, chemistry and
removal), as well as in model inputs such as emissions, initial
concentrations (ICs) and boundary conditions (BCs). Prior studies have also
revealed that air quality models face additional challenges in predicting
surface O<inline-formula><mml:math id="M25" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations at coastal locations or over complex urban
areas, including uncertainties in vertical mixing, deposition processes and
spatial–temporal allocation of emissions to the air quality models (Hogrefe
et al., 2007; Tong et al., 2006). Therefore, several modeling techniques
have been developed to improve the forecasting skills of these air quality
models (Liu et al., 2001; Tang et al., 2007). Previous studies (Wu et al.,
2008; Sandu et al., 2010) suggested employing data assimilation methods to
adjust the initial conditions of a model to reduce model bias. Optimal
interpolation (OI) is a simple data assimilation method used to enhance
model prediction (Candiani et al., 2013; Tang et al., 2015, 2017). Considering the modeling sensitivity to BCs, Tang et al. (2009)
examined the impact of six different sources of lateral BCs on the CMAQ
(Community Multiscale Air Quality) forecast ability, and the results showed
that using global model predictions for BCs was able to improve the
correlation coefficients of surface O<inline-formula><mml:math id="M26" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> prediction compared to
observations. Evaluations of different databases and configurations for BCs
in short-term and long-term simulations also show that dynamic BCs have a
positive impact on numerical predictions (Tang et al., 2007; Makar et al.,
2010; Henderson et al., 2014; Khan and Kumar, 2019). However, many of these
studies use BCs based on global forecasts of a relatively low resolution
(e.g., 1.4<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M28" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.4<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and 2<inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M31" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.5<inline-formula><mml:math id="M32" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>). Therefore, databases with higher resolution, such as
satellite observations or regional forecasting products, are introduced to
construct boundary conditions that were shown to result in a measurable
improvement in model performance (Borge et al., 2010; Pour-Biazar et al.,
2011). Finally, updating emissions from the base year to the specific
forecast year has been shown to be an effective approach to reduce<?pagebreak page16533?> the
uncertainties of outdated emission inventories to increase forecasting
accuracy (Pan et al., 2014; Tong et al., 2015, 2016).</p>
      <p id="d1e614">This study examines to what extent various modeling techniques can improve
O<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> predictions over LIS and surrounding areas. As the
largest metropolitan area in the United States on the Atlantic Ocean coast,
this LIS region represents one of the most challenging places for air
quality modeling. The resolution of the present operational forecasting
system, National Air Quality Forecast Capability (NAQFC), operated by the
National Oceanic and Atmospheric Administration (NOAA), is at a 12 km
horizontal resolution (Davidson et al., 2008). To better resolve fine-scale
processes such as sea breeze and recirculation of air pollutants at coastal
sites, a high-resolution (3 km) air quality forecasting system over the LIS
region (LIS3km) has been developed using the latest meteorology and air
quality models. Using observations from ground air quality monitors and the
LISTOS field campaign, we evaluate the forecasting skills of the
high-resolution air quality forecasting system to predict O<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and
NO<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> over LIS. Specifically, we use three forecast improvements –
dynamic boundary conditions, rapid emission refresh and chemical data
assimilation – to improve the LIS3km system. The effectiveness of each
technique to improve forecasting skill is assessed using the observations
from the LISTOS and the EPA AirNow network (available at <uri>http://airnowapi.org</uri>, last access: 12 May 2021).
Descriptions of the modeling system, forecast improvements and observation
data are presented in Sect. 2. Assessments of the CMAQ results with and
without different forecast system updates are described in Sect. 3. The
application of the new system to predict a high-ozone episode is
demonstrated in Sect. 4. A summary of our findings and concluding remarks
are provided in Sect. 5.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methodology</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Study design</title>
      <p id="d1e671">To simulate ozone variability over a complex coastal urban environment, a
high-resolution air quality forecasting system has been developed for LIS
and surrounding areas. The forecasting system is comprised of
state-of-the-science weather, emission and chemical transport models. The
model domain covers eastern Pennsylvania, New Jersey, southern New York,
Connecticut and Rhode Island. While this model domain is large enough to
capture key physical and chemical processes within the LIS area, such as sea
breeze circulation and photochemistry, the influence of regional transport
outside this domain cannot be adequately represented. Therefore, real-time
forecasts from the operational NAQFC (Lee et al., 2017), produced by the
NOAA National Weather Service, are used to provide dynamic boundary
conditions to investigate the effect of this model input on forecasting
performance. We also explore the effects of emission adjustment and chemical
data assimilation on forecasting performance.</p>
      <p id="d1e674">Five groups of simulations are designed to evaluate the performance and
effectiveness of different adjustments of the CMAQ model (Table 1). The
first group (Control run) applies no adjustment, using the default profile as
lateral boundary conditions (LBCs). It serves as the reference case to allow the effectiveness
of each adjustment method to be quantified. The second experiment, named BCON, is similar
to the Control run, except that dynamic boundary conditions from the NOAA
NAQFC with a horizontal resolution of 12 km were applied to replace the
default BCs. In the optimal interpolation (OI) run, the initial
concentrations in CMAQ are adjusted with three observation interpolation
methods, including area-average (OI_avg), inverse distance
weighting (idw) and CMAQ concentration gradients (OI_bias)
(details of each OI approach provided in Sect. 2.3.2). The best performer
of these approaches will be used in the subsequent analyses. Next, a group
of emission adjustment experiments are designed to update NO<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions
using observed changes from satellite and ground sensors (Tong et al.,
2016). These emission adjustment factors are applied either uniformly across
the domain (EmisAdj_whole) or separately for each subdomain
(EmisAdj_sub). In the latter case, the domain was divided
into five regions based on city areas: New York City (NYC), City of
Philadelphia (PH), New Haven–Hartford (NHH) and Providence–Pawtucket (PP)
and the areas other than these four regions (OTHR) (Fig. 1). Finally, three
simulations with the combination of these three techniques were conducted in
search of the best performer. All simulations were conducted for a high-ozone episode, which lasted 168 h from 00:00 UTC on 25 August to 23:00 UTC
on 31 August 2018.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e688">Study area over the Long Island Sound and surrounding areas. Red
boxes depict four subdomains: New York City (NYC), Philadelphia (PH), New
Haven–Hartford region (NHH) and Providence–Pawtucket region (PP). Black
circles indicate the locations of EPA ground air quality monitors, the brown
triangle indicates the TOLNet O<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> site located in Westport, CT, and the
blue lines present an example flight path conducted by the NASA B200
aircraft on 28–29 August 2018.  Letters a–j indicate surface monitoring
sites at <bold>(a)</bold> Flax Pond, <bold>(b)</bold> Queens College, <bold>(c)</bold> New Haven, <bold>(d)</bold> Westport, <bold>(e)</bold>
Colliers Mills, <bold>(f)</bold> Riverhead, <bold>(g)</bold> Greenwich, <bold>(h)</bold> Madison-Beach Road, <bold>(i)</bold> Middletown-CVH-Shed and Stratford.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/16531/2021/acp-21-16531-2021-f01.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e738">Model adjustment and simulation design for the 3 km forecasting
system</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.82}[.82]?><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Name</oasis:entry>
         <oasis:entry colname="col3">Description</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1</oasis:entry>
         <oasis:entry colname="col2">Control</oasis:entry>
         <oasis:entry colname="col3">Simulation with default profile BCs,</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">no adjustment</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2</oasis:entry>
         <oasis:entry colname="col2">BCON</oasis:entry>
         <oasis:entry colname="col3">Same as Control but BCs replaced</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">with NAQFC prediction</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3</oasis:entry>
         <oasis:entry colname="col2">OI (three cases)</oasis:entry>
         <oasis:entry colname="col3">Same as Control but initial</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">concentrations adjusted by three OI</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">methods (OI_avg, OI_idw and OI_bias)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4</oasis:entry>
         <oasis:entry colname="col2">EmisAdj (two cases)</oasis:entry>
         <oasis:entry colname="col3">Same as Control but NO<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">adjusted using observed trends from</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">ground and satellite sensors (EmisAdj_avg,</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">EmisAdj_sub)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5</oasis:entry>
         <oasis:entry colname="col2">Combined (three cases)</oasis:entry>
         <oasis:entry colname="col3">Combination of different techniques.</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">BCON<inline-formula><mml:math id="M40" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>OI, BCON<inline-formula><mml:math id="M41" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>OI<inline-formula><mml:math id="M42" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>EmisAdj_avg,</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">and BCON<inline-formula><mml:math id="M43" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>OI<inline-formula><mml:math id="M44" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>EmisAdj_sub</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

<?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page16534?><sec id="Ch1.S2.SS2">
  <label>2.2</label><title>High-resolution air quality forecasting system (LIS3km)</title>
      <p id="d1e975">The high-resolution air quality forecasting system used here is a new
research prediction system deployed during the 2018 LISTOS field campaign
period which is comprised of three major components: meteorology, emission
and chemical transport models. The Weather Research and Forecasting (WRF)
model version 4.0 (Skamarock et al., 2019) is used to generate hourly
meteorological fields to drive emission and air quality modeling. The WRF
model was configured with the Thompson graupel microphysics scheme, the RRTMG long-
and short-wave radiation scheme, the Mellor–Yamada–Janjic PBL (planetary boundary layer) scheme, the unified
Noah land-surface model and the Tiedtke cumulus parameterization option. No data
assimilation was applied in the WRF simulation. The model is conducted in a
single domain with 132 <inline-formula><mml:math id="M45" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 122 grid cells, with one grid more on each
boundary compared to that of the chemical transport model. There are 41
vertical layers with 20 layers below 1 km and a top layer at 50 hPa. The
forecast fields of Global Forecast System (GFS) version 4 products with a
horizontal resolution of 0.25<inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M47" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.25<inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
(available every 6 h) were employed to drive the WRF model.</p>
      <p id="d1e1010">The emission input was provided using a hybrid emission modeling system that
utilized the Sparse Matrix Operator Kernel Emissions (SMOKE) model (Houyoux
et al., 2000) version 4.7 to process anthropogenic emissions, and a suite of
emission models to estimate emissions from intermittent and/or
meteorology-dependent sources. Anthropogenic emissions from area and mobile
sources were taken from US EPA 2011 National Emissions Inventory (NEI) version 2 (NEI2011v2). The Motor
Vehicle Emissions Simulator (MOVES) was used to generate county-level
emission factors for the on-road and off-road sources. SMOKE uses a
combination of vehicle activity data, MOVES emission factors, meteorology
and other ancillary data (spatial, temporal and speciation information) to
generate hourly speciated model-ready emission data. Point sources were
processed in two steps. In the first step, emission inventories of point
sources were processed with SMOKE to generate intermediate input files.
Next, these intermediate files were used to drive inline calculation of
plume rise to distribute point source emissions vertically in the CMAQ model
domain. Two natural sources are included in this forecasting system:
biogenic and sea salt. Biogenic emissions from terrestrial plants were
predicted using the inline version of the Biogenic Emission Inventory System
(BEIS) (Pierce et al., 1998). The emissions of sea spray aerosols are
calculated using an updated version of the Gong (2003) sea spray emission
parameterization (Gantt et al., 2015).</p>
      <p id="d1e1013">The CMAQ model ingests emissions and meteorology to predict spatial and
temporal variations of O<inline-formula><mml:math id="M49" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math id="M50" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and their precursors. In this
study, version 5.3.1 of the CMAQ model was configured to include detailed
implementation of inline emission processes for biogenic, sea salt and
elevated anthropogenic emissions, horizontal and vertical advection,
turbulent diffusion, dry/wet deposition and full gas, aqueous and aerosol
chemistry using a revised Carbon Bond 6 gas-phase mechanism and the AE6 aerosol
mechanism (CB6r3_AE6_AQ) (Byun and Schere, 2006; Luecken et al., 2019). Both the meteorological and air quality models
have a 3 km horizontal resolution over the LIS region and its surrounding
areas (Fig. 1).</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Techniques to improve forecasting skills</title>
      <p id="d1e1042">We implement and test three forecasting improvement techniques to assess
their effectiveness in enhancing the simulation performance of the CMAQ
model. Details of each update are described below.</p>
<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>Dynamic lateral boundary conditions</title>
      <p id="d1e1052">Regional air quality models such as CMAQ rely on lateral boundary conditions
to account for inflow of air pollutants and precursors from out-of-domain
sources. These boundary conditions fall into two categories: static and
dynamic. Static boundary conditions are time-independent vertical profiles
of appropriate species at the boundaries that can be prepared from
prescribed profiles, long-term vertical<?pagebreak page16535?> observations or climatological
model simulations (Tong and Mauzerall, 2006; Tang et al., 2007). Dynamical
boundary conditions are provided by a concurrently running global model or
another regional model covering a larger domain. In the previous studies of
regional modeling, a nested grid approach was often applied to provide
dynamic BCs for the study area (e.g., Taghavi et al., 2004). However, the
nested model would need higher computational resources and a longer running
time. The increasing pool of real-time national and global forecasts
provides alternative BCs that can be used to drive a regional forecasting
system as demonstrated in this work. Here, we explore the feasibility of
utilizing the products of NOAA NAQFC, which provides real-time national
forecasts to prepare dynamic boundary conditions to drive the LIS3km system.
The NAQFC is an operational system, operated by the National Weather
Services, and the data are provided freely to the public. Hourly forecasts
of the NAQFC (Lee et al., 2017) are processed using the BCON tool developed
by the US EPA. The description of NAQFC configuration can be found in Lee et
al. (2017), and a summary is provided in Table S1 in the Supplement.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <label>2.3.2</label><title>Optimal interpolation</title>
      <p id="d1e1063">Optimal interpolation (OI) is a commonly applied data assimilation method
(Wang et al., 2013; Chai et al., 2017) that can be used to adjust the
initial conditions (ICs) of an air quality model to minimize errors
(Adhikary, 2008). This method runs fast and portably, making it very
suitable for the forecasting system which needs regular execution. The
equation of the OI method is defined as
              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M51" display="block"><mml:mrow><mml:msup><mml:mi>x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mi>x</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="bold">BH</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msup><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:msup><mml:mi mathvariant="bold">HBH</mml:mi><mml:mi>T</mml:mi></mml:msup><mml:mo>+</mml:mo><mml:mi mathvariant="bold">O</mml:mi></mml:mrow></mml:mfenced><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="bold">H</mml:mi><mml:msup><mml:mi>x</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msup><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msup><mml:mi>x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msup><mml:mi>x</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> are the analyzed and background fields,
respectively. <inline-formula><mml:math id="M54" display="inline"><mml:mi mathvariant="bold">B</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M55" display="inline"><mml:mi mathvariant="bold">O</mml:mi></mml:math></inline-formula> are the background and observation error covariance
matrix, <inline-formula><mml:math id="M56" display="inline"><mml:mi mathvariant="bold">H</mml:mi></mml:math></inline-formula> is the observational operator and <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="bold">H</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> is its matrix transpose, and <inline-formula><mml:math id="M58" display="inline"><mml:mi mathvariant="bold-italic">y</mml:mi></mml:math></inline-formula> is the observation vector.</p>
      <p id="d1e1188">In the CMAQ model, the restart file, called CGRID, is daily generated during
the simulation and acts as ICs for the next day. To constrain the biases in
ICs, the concentrations of ozone, NO<inline-formula><mml:math id="M59" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and NO in the restart file were
adjusted via the OI method, which is applied every 24 h at 00:00
coordinated universal time (UTC). The influence area of OI is controlled by
the correlation length scale, and the previous study by Chai et al. (2017)
chose the range of 84 km for the contiguous US domain. Moreover, this
influence length scale also varies from region to region. Over remote
regions, the length scale may be longer, while it is shorter over polluted
areas as the correlation decreases more rapidly. Considering the high
emission density and the fine model resolution over the LIS area, we chose a
shorter influence length (33 km) for a higher correlation threshold (<inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula>) for the LIS, which means this OI adjustment was made on
each <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mn mathvariant="normal">11</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula> grid cell block of the surface layer over the whole
domain to obtain the analyzed field <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msup><mml:mi>x</mml:mi><mml:mi>a</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>. Next, as there is no information
of vertical background profile in this method, the ratio between <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msup><mml:mi>x</mml:mi><mml:mi>a</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msup><mml:mi>x</mml:mi><mml:mi>b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> at each surface layer grid point was used to scale the concentrations
for all vertical layers within the PBL, following Tang et al. (2015, 2017).</p>
      <p id="d1e1260">The OI assimilation first allocates ground-based observational data from the
EPA AirNow network into model grid cells. The Tang et al. (2015) method puts
in situ data directly into the corresponding model grid cells. If there was
more than one active site in the same grid cell, the observations are first
averaged before being applied to the grid cell (OI_avg
hereafter). Grid cells that did not have observations and were not within five
grids cells from the observations were not adjusted. Therefore, the region
of influence is limited, and the adjusted fields may be discrete in spatial
distribution. Besides this method, experiments were also performed with two
different interpolation methods for preparing the observational data. The
first one was to interpolate the averaged observational grid points to the
whole domain using the inverse distance weighting (IDW) interpolation scheme
(Shepard, 1968) (the OI_idw method). With this
interpolation, the effect of OI will be not limited near the observational
sites, and most of the grid cells in the domain can be adjusted comparing to
the OI_avg. The second method adjusted the initial
concentrations by subtracting the bias between the simulation and the
averaged observations within the grid point then smoothing the adjusted
concentration field via the IDW scheme. This method is called
OI_bias. Unlike the OI_idw, which just applied
the spatial interpolation to extend the OI effect, in this method the
observation cells are distributed to the whole domain grids based on the
spatial patterns provided by the model so that it is able to better reflect
the realistic fields.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS3">
  <label>2.3.3</label><title>Emission refresh</title>
      <p id="d1e1271">The third forecast system update evaluated here is the rapid emission
refresh capability that allows for timely updates of outdated NEIs to the
forecasting year (Tong et al., 2016). Here we focus on updating NO<inline-formula><mml:math id="M65" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
emissions. NO<inline-formula><mml:math id="M66" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> are important precursors to tropospheric ozone formation
(Spicer, 1983; Chameides et al., 1992); therefore, their emissions can
influence atmospheric ozone concentrations. Since NO<inline-formula><mml:math id="M67" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions
decreased substantially over the last decade (Silvern et al., 2019; Dix et
al., 2020) and the anthropogenic emission used in this study are based on
the 2011 NEIs, the NO<inline-formula><mml:math id="M68" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions need to be projected from 2011 to the
forecast year (2018). According to the approach proposed by Tong et al.
(2016), the adjustment factor used for the emission projection is derived
from the monthly changing rates of surface- and satellite-observed NO<inline-formula><mml:math id="M69" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
(NO<inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Temporal trends at the surface are determined from the hourly
observed NO<inline-formula><mml:math id="M71" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentration during the morning rush hours (06:00, 07:00, 08:00 and 09:00 local time). These times are optimal for assessing local emission conditions since they are related to the highest NO<inline-formula><mml:math id="M72" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> levels typically produced as a result of both<?pagebreak page16536?> commuter traffic peaks and the shallow morning planetary boundary layer (Tong et al., 2015). Satellite-based temporal trends are calculated from the monthly NO<inline-formula><mml:math id="M73" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> product retrieved from the Ozone Monitoring Instrument (OMI) aboard the Aura satellite (Lamsal et al., 2020). A weighting function is introduced to combine the surface-based and
satellite-based temporal trends to acquire the merged projection adjustment
factor (AF) for a specified region:
              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M74" display="block"><mml:mrow><mml:mi mathvariant="normal">AF</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>S</mml:mi><mml:mo>×</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mi>S</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi>S</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>G</mml:mi><mml:mo>×</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mi>G</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi>G</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi>S</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi>S</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mi>G</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi>G</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>S</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the temporal trend and the number of
satellite data, respectively; and <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>G</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi>G</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the temporal
trend and the number of surface-based data, respectively. Two weighting
factors, <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi>G</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, are applied to the satellite and surface data,
respectively. Here the value of <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is set to 1 and <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi>G</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to 100 to
avoid dominance by either data source (Tong et al., 2015). In this study,
two groups of AFs are prepared for the emission projection. One is the
average AF over the whole domain (EmisAdj_avg), and the other
group includes the AFs for each sub-region in the research area
(EmisAdj_sub). The AFs used in both groups are the averages
of the monthly AFs from May to September.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Observational datasets</title>
      <p id="d1e1537">In this study, a suite of observational datasets was used either as inputs
for emissions and chemical data assimilation or to evaluate model
performance. These datasets include surface O<inline-formula><mml:math id="M83" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M84" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
measurements from the US EPA Air Quality System (AQS) surface network, the
NO<inline-formula><mml:math id="M85" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> vertical column density (VCD) from the OMI satellite data, NO<inline-formula><mml:math id="M86" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
VCD from the GeoCAPE Airborne Simulator (GCAS) on the NASA Langley Research
Center B200 aircraft and the O<inline-formula><mml:math id="M87" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> vertical profile from the NASA Langley
Mobile Ozone Lidar (LMOL). Detailed information of each dataset is provided
below.</p>
      <p id="d1e1585">Surface concentrations of O<inline-formula><mml:math id="M88" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M89" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> are used for emission
adjustment and chemical data assimilation, as well as evaluation of model
performance. AQS is a routine monitoring network established to collect
ambient air pollution data in urban, suburban and rural areas. AQS monitors
determine O<inline-formula><mml:math id="M90" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations according to the Federal Reference Method
promulgated in the 2015 revisions to the National Ambient Air Quality
Standards (Long et al., 2014) and NO<inline-formula><mml:math id="M91" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations using the
chemiluminescence instruments described by McClenny et al. (2002). AQS
measures both O<inline-formula><mml:math id="M92" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M93" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> at hourly intervals. Note that NO<inline-formula><mml:math id="M94" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
measurements are typically biased high due to interference in the
chemiluminescence measurement (Dunlea et al., 2007). As the goal of this
study is to improve forecasting performance, a near-real-time version of the
AQS data was used, called AirNow. This is a preliminary dataset for the
purpose of real-time air quality reporting and forecasting; it is not fully
verified and provides fewer measured species. The data used in this study
are downloaded from the AirNow data portal maintained by the US EPA.</p>
      <p id="d1e1652">NO<inline-formula><mml:math id="M95" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VCD measurements were provided by the Ozone Monitoring Instrument
(OMI) standard product (version 4), available from the NASA Goddard Earth
Sciences Data and Information Services Center (GES DISC). OMI is a
nadir-viewing hyperspectral imaging spectrometer that measures solar
backscattered radiance and solar irradiance in the ultraviolet and visible
regions (270–500 nm) (Levelt et al., 2006). The Aura spacecraft has a local
equator-crossing time of 13:45 in the ascending node. OMI views the Earth
along the satellite track with a swath of 3600 km on the surface in order to
provide daily global coverage. In the normal global operational mode, the
OMI ground pixel at nadir is approximately 13 km <inline-formula><mml:math id="M96" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 24 km, with
increasing pixel sizes toward the edges of the orbital swaths. Multi-year
OMI NO<inline-formula><mml:math id="M97" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> data are further aggregated to calculate state-level emission
adjustment factors using a mass conservation approach (Tong et al., 2015).</p>
      <p id="d1e1680">The high-resolution NO<inline-formula><mml:math id="M98" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> observations from the GCAS (Kowalewski and
Janz, 2014) are used for a direct comparison against model simulations of
the NO<inline-formula><mml:math id="M99" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VCD. GCAS is an ultraviolet–visible spectrometer used in air
quality field studies to map the spatiotemporal distribution of NO<inline-formula><mml:math id="M100" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and
HCHO VCDs at high spatial resolution (Nowlan et al., 2018; Judd et al.,
2020). During LISTOS, this instrument flew on 11 flight days collecting
between two and four gapless raster datasets at spatial resolutions for NO<inline-formula><mml:math id="M101" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> as
fine as 250 <inline-formula><mml:math id="M102" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 250 m. More information about the retrieval can be
found in Judd et al. (2020). During LISTOS, NO<inline-formula><mml:math id="M103" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> from GCAS was validated
using coincident Pandora measurements and had a median percent difference of
<inline-formula><mml:math id="M104" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.2 %, with 95 % of the most temporally homogeneous points within
<inline-formula><mml:math id="M105" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 25 % or 0.1 DU.</p>
      <p id="d1e1751">Finally, O<inline-formula><mml:math id="M106" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> vertical profiles from the NASA LMOL are used to evaluate
the CMAQ prediction of O<inline-formula><mml:math id="M107" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> profiles during the LISTOS field campaign.
LMOL is part of a NASA-sponsored ozone lidar network called the tropospheric
ozone lidar network (TOLNet; Sullivan et al., 2017), which is a mobile
ground-based ozone lidar platform equipped with a pulsed UV laser and all
associated power and lidar control support units (De Young et al., 2017;
Gronoff et al., 2019). In this study, we use LMOL lidar observations at the
Westport site (41 118<inline-formula><mml:math id="M108" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 73 337<inline-formula><mml:math id="M109" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W). All available
field measurement data during this campaign were obtained from the LISTOS
Data Archive (available at <uri>https://www-air.larc.nasa.gov/missions/listos/index.html</uri>, last access: 1 November 2021).</p>
</sec>
</sec>
<?pagebreak page16537?><sec id="Ch1.S3">
  <label>3</label><title>Evaluation on the effectiveness of simulation improvements</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Effects of boundary conditions</title>
      <p id="d1e1809">In this section, we examine the effects of using the dynamic boundary
conditions on O<inline-formula><mml:math id="M110" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M111" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> predictions. As a reference, we also
compare these simulations to the NAQFC results, extracted for the same
region, during the 29 August high-ozone event. Figure 2 shows the O<inline-formula><mml:math id="M112" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
and NO<inline-formula><mml:math id="M113" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> 24 h average concentrations simulated by Control (static
BCs), BCON (dynamic BCs) and the NOAA NAQFC over the LIS region. Compared
to the underestimated O<inline-formula><mml:math id="M114" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations simulated by Control run, the
concentration level using dynamic boundary conditions increases considerably
and is closer to the observations. High O<inline-formula><mml:math id="M115" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations appear over
near-coast areas but are lower in the northwest of the domain. This spatial
pattern illustrates the ozone river in a northeastward direction along the
I-95 corridor, extending from Philadelphia to NYC and then to Connecticut,
where the worst air quality is often observed. Although it overestimates
surface O<inline-formula><mml:math id="M116" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in Philadelphia and central New Jersey, the BCON simulation
can reproduce O<inline-formula><mml:math id="M117" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> hourly variations during this episode well in
comparison with the observed data (see the time series in Fig. 2d). Note
the peak O<inline-formula><mml:math id="M118" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> simulated in the Control run is nearly the same on all days
during the simulation period. The comparisons between the peak O<inline-formula><mml:math id="M119" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> with
the default profile and dynamic LBC case indicate relatively large regional
contributions on these days. Compared to the Control run, the BCON run
performed better not only in bias, but also with higher correlation
coefficients between prediction and observations (Table S2), especially
during the 26–27 August high-O<inline-formula><mml:math id="M120" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> days. As the profile BCs are static
and lack spatial–temporal variations, the Control run mainly reflects the
local contributions of emissions, transport and chemical processes within
the domain (Tang et al., 2007). The underprediction suggests that these
processes are insufficient to produce the observed O<inline-formula><mml:math id="M121" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> levels and that
the transport of air pollutants from upwind is important to predict the high-O<inline-formula><mml:math id="M122" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> episodes. It highlights the significant influence of dynamic BCs on
the simulations over this region during high-pollution events. In
comparison, the influence of BCs is less important during the cold season.
There is a smaller difference between upwind concentrations and the
background concentrations used in the default BCs, compared to that during a
hot season when the upwind photochemical production is more active,
resulting in better agreement between the prediction and observations (Fig. S2a, d). Note that other studies have shown the influence of BCs can become more prominent during the cold season when “local” pollution production is slow (e.g., Fiore et al., 2009). The magnitude of the actual influence is determined by several factors, such as emission density, photochemical production and sink, and spatial distribution and gradients of the concerned species.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e1933">Predicted O<inline-formula><mml:math id="M123" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations from <bold>(a)</bold> Control, <bold>(b)</bold> BCON and
<bold>(c)</bold> NOAA NAQFC simulations on 29 August 2018 and <bold>(d)</bold> comparison of
domain-averaged hourly O<inline-formula><mml:math id="M124" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations with EPA AirNow measurements
during this episode. Colored circles in the top panels depict the observed
concentrations from ground measurements.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/16531/2021/acp-21-16531-2021-f02.png"/>

        </fig>

      <p id="d1e1973">The performance of the high-resolution simulation is next compared to that
by the NAQFC. The NAQFC simulation, which has been used to provide national
numerical guidance for O<inline-formula><mml:math id="M125" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M126" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (Lee et al., 2017), is run
at a coarser resolution (12 km), using a different CMAQ version (a revised
CMAQ5.0), driven by different emission and meteorology datasets. Regardless
of these differences, the NAQFC and BCON runs predict similar surface
O<inline-formula><mml:math id="M127" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> distribution patterns. Compared to that in the NAQFC prediction, the
O<inline-formula><mml:math id="M128" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> prediction from the 3 km BCON run demonstrates more detailed spatial
distribution. For instance, the O<inline-formula><mml:math id="M129" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration over the Long Island
Sound is lower than its surrounding areas during this episode, which is
better resolved by the 3 km simulation than the 12 km NAQFC (Fig. 2a–c).
The O<inline-formula><mml:math id="M130" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> distribution along the coastal area, such as the coasts of
Connecticut and Rhode Island, also agrees better with the observations than
the 12 km NAQFC prediction. This suggests that the high-resolution
simulation can better reproduce the pollutant variability over this coastal
urban area during this episode. In addition, the BCON run performs better
over southern New Jersey, and northeast of the LIS domain, with considerably
reduced biases in the LIS downwind areas as well. As for the diurnal
variations, the BCON run overestimates the peak O<inline-formula><mml:math id="M131" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations on
28 and 29 August, while the NAQFC run performs well and is closer to the
measurements (Fig. 2d). The use of coarser resolution NAQFC predictions as
BCs substantially improves the capability of the 3 km forecasting system to
reproduce the O<inline-formula><mml:math id="M132" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> variability. Compared to the Control run, the
correlation coefficient between BCON and observed O<inline-formula><mml:math id="M133" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations
increases from 0.81 to 0.93, and the root mean square error (RMSE)
decreases from 14.97 to 8.22 ppbv with a reduction of 45 %, resulting in a comparable performance with the NOAA NAQFC predictions with correlation of 0.91 (Table S2).</p>
      <p id="d1e2059">The spatial patterns of predicted NO<inline-formula><mml:math id="M134" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations from the Control,
BCON and NAQFC runs are quite similar, with high values over the NYC area
(Fig. 3). The simulated NO<inline-formula><mml:math id="M135" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations by the 3 km forecasting
system, either with static or with dynamic BCs, agree better with the
observations than those from the 12 km NAQFC simulation, highlighting the
importance of using high-resolution inputs to better represent the emission
sources in the model. The correlation coefficient and RMSEs are 0.69 and
4.12 ppb for the Control run, 0.71 and 3.82 ppb for the BCON run, and 0.67
and 4.98 ppb for the NAQFC run, respectively (Table S2). In addition, the
improvement of simulated NO<inline-formula><mml:math id="M136" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> using dynamic BCs was much smaller
compared to that of O<inline-formula><mml:math id="M137" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. This is because the lifetime of NO<inline-formula><mml:math id="M138" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is
relatively short (1–7 h in summertime; Lu et al., 2015), and its budget in
urban areas is mainly influenced by local emissions and chemistry and less
by regional transport, indicating the effectiveness of dynamic BCs depends
not only on the downwind/upwind gradients, but also on the lifetime of
concerned species.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e2109">Predicted NO<inline-formula><mml:math id="M139" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations from <bold>(a)</bold> Control, <bold>(b)</bold> BCON and
<bold>(c)</bold> NOAA NAQFC simulations on 29 August 2018 and <bold>(d)</bold> comparison of
domain-averaged hourly NO<inline-formula><mml:math id="M140" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations to EPA AirNow measurements
during the episode. Colored circles in the top panels depict the observed
concentrations from ground measurements.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/16531/2021/acp-21-16531-2021-f03.png"/>

        </fig>

</sec>
<?pagebreak page16539?><sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Effects of initial condition adjustment</title>
      <p id="d1e2157">Initial concentrations are an important input to air quality forecasting.
Adjusting initial concentrations through chemical data assimilation has been
shown to significantly improve air quality forecasting (Tang et al., 2015;
Chai et al., 2017), although the impacts wane with increasing forecast
length. Here we compare the results using various OI methods with the
simulations without any BC adjustment (same as the Control run) and study
the effects of adjusting initial conditions on O<inline-formula><mml:math id="M141" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M142" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
prediction. Figure 4 illustrates the initial concentrations of surface
O<inline-formula><mml:math id="M143" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> adjusted by OI_avg, OI_idw and OI_bias, respectively. In the initial concentrations, the areas influenced by OI_avg are primarily limited to the ground-based sites and the regions within five model grid cells in each direction of the observations compared to the Control run (Fig. 4a, b). The rest of the domain is not affected by the adjustment, resulting in
significant differences between adjusted and unadjusted areas. The O<inline-formula><mml:math id="M144" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
fields adjusted by OI_idw (Fig. 4c) and OI_bias (Fig. 4d) show similar horizontal distributions, but the concentration
level of OI_bias is relatively higher over NYC and northern
New Jersey. Furthermore, in contrast to the localized changes by
OI_avg, those of OI_idw and OI_bias show smoother changes over larger parts of the domain.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e2198">The concentrations of surface O<inline-formula><mml:math id="M145" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in initial conditions file
at 00:00 UTC on 26 August 2018 adjusted by OI_avg,
OI_idw and OI_bias.</p></caption>
          <?xmltex \igopts{width=239.00315pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/16531/2021/acp-21-16531-2021-f04.png"/>

        </fig>

      <p id="d1e2216">Next, the initial concentration files after adjustment are used to feed
CMAQ simulations. The O<inline-formula><mml:math id="M146" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> prediction by the Control run and three OI
runs at 00:00 UTC on 26 August 2018 (the first hour after OI adjusting) is
depicted in Fig. 5. The adjusted O<inline-formula><mml:math id="M147" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> fields show different patterns
compared to that in the Control run with no IC adjustment. The predicted
O<inline-formula><mml:math id="M148" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> field with the OI_avg method shows a distribution
with localized high-value areas near the observational sites. As for the
other two OI methods, the distribution using OI_bias has
similar patterns with that of OI_idw, while the concentrations
over the high-O<inline-formula><mml:math id="M149" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> area are further elevated. Biases between observed and
predicted concentrations are reduced in most areas. The statistical metrics
calculated from hourly simulated and observed data from 26 to 31 August
2018 are reported in Table 2. The RMSEs for O<inline-formula><mml:math id="M150" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> are reduced from 14.97 ppbv in the Control run to 13.72 ppbv in the OI_bias run, to
13.79 ppbv in the OI_idw run and to 14.30 ppbv in the
OI_avg run. The correlation for O<inline-formula><mml:math id="M151" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> also slightly
increases from the Control run to the OI runs (Table 2). In comparison,
NO<inline-formula><mml:math id="M152" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> prediction is less influenced by this adjustment, with
insignificant changes in the model performance (Table 3). In addition, the
effects of this adjustment on the modeling results decrease with the
simulation time and display no discernible difference from the Control run
after 12 h (Fig. S1 in the Supplement). Generally, the improvement of the simulated
results due to OI data assimilation over the study domain is smaller than
that from the dynamic BCs. Among the three OI methods, the simulation with
OI_bias shows the best performance, so this method is chosen
for subsequent analyses, in which multiple techniques are combined to improve
forecasting skills.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e2286">Spatial distributions of predicted surface O<inline-formula><mml:math id="M153" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations
using three optimal interpolation (OI) approaches (OI_avg,
OI_idw and OI_bias) at 00:00 UTC on 26 August 2018.</p></caption>
          <?xmltex \igopts{width=239.00315pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/16531/2021/acp-21-16531-2021-f05.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e2307">Regional mean statistical metrics between hourly observed and
simulated O<inline-formula><mml:math id="M154" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from 26 to 31 August 2018 over the Long Island Sound
region.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <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:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Stats/runs</oasis:entry>
         <oasis:entry colname="col2">Control</oasis:entry>
         <oasis:entry colname="col3">OI_avg</oasis:entry>
         <oasis:entry colname="col4">OI_idw</oasis:entry>
         <oasis:entry colname="col5">OI_bias</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">CORR</oasis:entry>
         <oasis:entry colname="col2">0.81</oasis:entry>
         <oasis:entry colname="col3">0.84</oasis:entry>
         <oasis:entry colname="col4">0.85</oasis:entry>
         <oasis:entry colname="col5">0.85</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">RMSE</oasis:entry>
         <oasis:entry colname="col2">14.97</oasis:entry>
         <oasis:entry colname="col3">14.30</oasis:entry>
         <oasis:entry colname="col4">13.79</oasis:entry>
         <oasis:entry colname="col5">13.72</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NMB</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M155" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30 %</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M156" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>29 %</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M157" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>27 %</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M158" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>27 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NME</oasis:entry>
         <oasis:entry colname="col2">34 %</oasis:entry>
         <oasis:entry colname="col3">33 %</oasis:entry>
         <oasis:entry colname="col4">31 %</oasis:entry>
         <oasis:entry colname="col5">31 %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e2319">CORR: correlation coefficient. RMSE: root mean square error. NMB: normalized mean bias. NME: normalized mean error.</p></table-wrap-foot></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e2461">Same as Table 2 but for NO<inline-formula><mml:math id="M159" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <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:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Stats/runs</oasis:entry>
         <oasis:entry colname="col2">Control</oasis:entry>
         <oasis:entry colname="col3">OI_avg</oasis:entry>
         <oasis:entry colname="col4">OI_idw</oasis:entry>
         <oasis:entry colname="col5">OI_bias</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">CORR</oasis:entry>
         <oasis:entry colname="col2">0.69</oasis:entry>
         <oasis:entry colname="col3">0.69</oasis:entry>
         <oasis:entry colname="col4">0.69</oasis:entry>
         <oasis:entry colname="col5">0.70</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">RMSE</oasis:entry>
         <oasis:entry colname="col2">4.12</oasis:entry>
         <oasis:entry colname="col3">4.11</oasis:entry>
         <oasis:entry colname="col4">4.08</oasis:entry>
         <oasis:entry colname="col5">4.08</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NMB</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M160" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17 %</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M161" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17 %</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M162" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 %</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M163" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NME</oasis:entry>
         <oasis:entry colname="col2">35 %</oasis:entry>
         <oasis:entry colname="col3">35 %</oasis:entry>
         <oasis:entry colname="col4">35 %</oasis:entry>
         <oasis:entry colname="col5">34 %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?pagebreak page16540?><p id="d1e2609">The ICs for each day were adjusted by OI using real-time observations; it is
interesting to note that the duration of OI influence on O<inline-formula><mml:math id="M164" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> simulation
varies from place to place. Figure 6 shows the time series of the averaged
differences in predicted hourly O<inline-formula><mml:math id="M165" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations between the Control
run and each of the three OI runs from 26 to 31 August 2018 in three urban
areas (NYC, Philadelphia, New Haven–Hartford) and other (OTHR) areas. The
differences illustrate the effect of adjusting initial concentrations on
O<inline-formula><mml:math id="M166" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> prediction. In large metropolitan areas, OI adjustments result in
spikes that indicate larger model errors at the time of OI adjustment, with
the mean errors up to 14 ppbv in surface hourly O<inline-formula><mml:math id="M167" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations over
NYC and 16 ppbv over Philadelphia, respectively. In comparison, the spikes
in non-urban areas are much smaller, reflecting the fact that there are
smaller biases between observations and predictions (Fig. 6). The New
Haven–Hartford region sees a smaller change of O<inline-formula><mml:math id="M168" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration
compared to between that in large cities. The OI effects in large cities
remain for a shorter time than in non-urban area or smaller cities. For
example, the differences between OI runs and the Control run decrease to
<inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> ppb in 4 to 8 h in two metropolitan areas, NYC
and Philadelphia (Fig. 6a, b). Meanwhile, in the New Haven–Hartford
region (Fig. 6c), Providence–Pawtucket region (not shown) and the non-urban
areas (Fig. 6d), the differences could last 12 to 16 h. The different
durations indicate the influence time of OI-adjusted ICs, not necessarily
the improvement in model skill, which is determined by both initial
concentrations and other processes (chemical production and transport,
etc.). The improvement using OI adjustment is comparable over different
subdomains (Table S3). This difference reflects the dependence of O<inline-formula><mml:math id="M170" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
level on the initial concentrations in the air quality model. In general,
the influence of OI adjustment lingers for a longer period in an area with
low emission density, where emissions and chemical reactions make a smaller
contribution to the O<inline-formula><mml:math id="M171" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> budget than that in the area with high emission
density.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e2689">Effects of OI-adjusted initial concentrations on hourly surface
O<inline-formula><mml:math id="M172" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in three metropolitan areas (New York, Philadelphia and New
Haven–Hartford) and the rest of the domain using three optimal interpolation
(OI) approaches (OI_avg, OI_idw and OI_bias).</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/16531/2021/acp-21-16531-2021-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><?xmltex \opttitle{Effects of NO${}_{{x}}$ emission adjustment}?><title>Effects of NO<inline-formula><mml:math id="M173" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emission adjustment</title>
      <p id="d1e2725">One of the major challenges in air quality forecasting is the time lag in
updating the emission inputs generated for a specified base year, which is
typically different than the year for which the simulation is desired (Tong
et al., 2012). Here we test the effects of implementing a new emission
update technique, the rapid emission refresh, on forecasting performance. In
this study, the NEI2011v2 data are used to represent anthropogenic
emissions, while the target forecasting year is 2018. Both the AQS ground
monitors and the OMI sensor observed considerable decreases in NO<inline-formula><mml:math id="M174" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
during summertime (May–September) from 2011 to 2018 (Fig. 7). The largest
reduction in ground concentrations appears in the west of NYC. The OMI
NO<inline-formula><mml:math id="M175" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> observations show an increase primarily over Connecticut and Rhode
Island, the region downwind of the Long Island Sound (Fig. 7b). The average
AF for the whole domain is <inline-formula><mml:math id="M176" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.6 %. The AFs for each subdomain are
<inline-formula><mml:math id="M177" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>31.9 % for NYC, <inline-formula><mml:math id="M178" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12.7 % for Philadelphia, <inline-formula><mml:math id="M179" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.4 % for the New Haven–Hartford region, <inline-formula><mml:math id="M180" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>28.2 % for the Providence–Pawtucket region and <inline-formula><mml:math id="M181" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16.5 % for other regions, respectively. In general, the NO<inline-formula><mml:math id="M182" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> variations in this study are similar to those between 2005 and 2012 (Tong et al., 2015), indicating that the NO<inline-formula><mml:math id="M183" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions continued decreasing during the past 14 years. This trend highlights the importance of updating
the emissions to the model year, in order to reduce the bias in the emission
inputs for model simulations, especially for time-sensitive applications
such as air quality forecasting.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e2809">NO<inline-formula><mml:math id="M184" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> differences observed by <bold>(a)</bold> AQS and <bold>(b)</bold> OMI from summer 2011 to summer 2018 over the LIS model domain.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/16531/2021/acp-21-16531-2021-f07.png"/>

        </fig>

      <?pagebreak page16542?><p id="d1e2833">The results in Tables 4 and 5 show that the performance for O<inline-formula><mml:math id="M185" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and
NO<inline-formula><mml:math id="M186" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> prediction is very similar between two simulations using the two
emission adjustment methods (a uniform average adjustment factor over the
entire domain and spatially varied factors for each subdomain defined in
Fig. 1). The correlations in each sub-domains are the same, and the average
for both simulations is 0.81 for O<inline-formula><mml:math id="M187" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and 0.69 for NO<inline-formula><mml:math id="M188" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>,
respectively. The biases and errors are also at the same level from the two
simulations. Compared to the O<inline-formula><mml:math id="M189" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the Control run, RMSE changes
slightly from 14.97 to 14.71 ppbv (EmisAdj_avg) and
14.55 ppbv (EmisAdj_sub), while the correlation remains the
same. The largest differences appeared in NYC with RMSE of 15.54
(EmisAdj_avg) and 14.93 ppb (EmisAdj_sub).
This demonstrates that emission adjustment alone results in limited
improvement of O<inline-formula><mml:math id="M190" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> prediction, due in part to the fact that the O<inline-formula><mml:math id="M191" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
production in this region is NO<inline-formula><mml:math id="M192" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-saturated (VOC-limited) in urban areas
where most AQS monitors are deployed, so the O<inline-formula><mml:math id="M193" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> level is less sensitive
to the change in NO<inline-formula><mml:math id="M194" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions. Similarly, the retrievals of
satellite observations are also more sensitive to urban plumes. In addition,
regional transport of air pollution results in dispersion of emitted
NO<inline-formula><mml:math id="M195" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and its byproducts/reservoirs. The observations from satellite or
ground monitors, based on which the emissions were adjusted, may not
accurately capture the temporal evolution of the emission sources. A large
geographical range may better reflect the overall changes of NO<inline-formula><mml:math id="M196" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
emissions in the LIS region. Previous studies either use a coarse model
resolution (e.g., 1<inline-formula><mml:math id="M197" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in Lamsal et al., 2011, or state-level adjustment in Tong et al., 2016). As a result, the simulated concentrations using different methods were very close, and the limited difference can also get averaged out when calculating the averaged statistical metrics. The effect of the emission adjustment method in this study is not as large as BCON or OI adjustments, which directly influence O<inline-formula><mml:math id="M198" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations. A recent study by Jin et al. (2020) showed that the decrease in NO<inline-formula><mml:math id="M199" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions has shifted the NO<inline-formula><mml:math id="M200" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-saturated to NO<inline-formula><mml:math id="M201" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-sensitive regime transition zone closer to urban centers, approximately 40 to 60 km from the center (the highest emission point) of New York City. Therefore, it is expected that the effectiveness of emission adjustment will increase over time in this region.
For surface NO<inline-formula><mml:math id="M202" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, the emission adjustment showed a more significant
impact on simulated concentrations. Note that the emission adjustment was
only implemented in the LIS system, not in NAQFC, which still uses the 2014
NEI for anthropogenic emissions. Without the emission adjustment, the
changes in NO<inline-formula><mml:math id="M203" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions between the inventory and forecast years are
not accounted for. On the high-O<inline-formula><mml:math id="M204" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> days, NAQFC overpredicted surface
O<inline-formula><mml:math id="M205" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> during the study period (Fig. 2c). The NAQFC LBCs are likely
associated with a possible overprediction of the regional transport, which
can be partially responsible for the BCON LIS simulation overpredicting
O<inline-formula><mml:math id="M206" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> during high-O<inline-formula><mml:math id="M207" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> days (Fig 2d). Considering the similarities of
these two emission adjustment methods, they will be both tested in the
subsequent multi-adjustment simulations.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><?xmltex \currentcnt{4}?><label>Table 4</label><caption><p id="d1e3050">Statistical metrics of O<inline-formula><mml:math id="M208" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> prediction performance after
NO<inline-formula><mml:math id="M209" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emission adjustment in different sub-regions from 26 to 31 August
2018.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col5" align="center" colsep="1">EmisAdj_avg </oasis:entry>
         <oasis:entry rowsep="1" namest="col6" nameend="col9" align="center">EmisAdj_sub </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Domains/stats</oasis:entry>
         <oasis:entry colname="col2">CORR</oasis:entry>
         <oasis:entry colname="col3">RMSE</oasis:entry>
         <oasis:entry colname="col4">NMB</oasis:entry>
         <oasis:entry colname="col5">NME</oasis:entry>
         <oasis:entry colname="col6">CORR</oasis:entry>
         <oasis:entry colname="col7">RMSE</oasis:entry>
         <oasis:entry colname="col8">NMB</oasis:entry>
         <oasis:entry colname="col9">NME</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">NYC</oasis:entry>
         <oasis:entry colname="col2">0.78</oasis:entry>
         <oasis:entry colname="col3">15.54</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M210" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>34 %</oasis:entry>
         <oasis:entry colname="col5">36 %</oasis:entry>
         <oasis:entry colname="col6">0.78</oasis:entry>
         <oasis:entry colname="col7">14.93</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M211" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>32 %</oasis:entry>
         <oasis:entry colname="col9">35 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PH</oasis:entry>
         <oasis:entry colname="col2">0.78</oasis:entry>
         <oasis:entry colname="col3">15.29</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M212" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30 %</oasis:entry>
         <oasis:entry colname="col5">35 %</oasis:entry>
         <oasis:entry colname="col6">0.78</oasis:entry>
         <oasis:entry colname="col7">15.38</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M213" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>31 %</oasis:entry>
         <oasis:entry colname="col9">35 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NHH</oasis:entry>
         <oasis:entry colname="col2">0.85</oasis:entry>
         <oasis:entry colname="col3">13.24</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M214" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>25 %</oasis:entry>
         <oasis:entry colname="col5">31 %</oasis:entry>
         <oasis:entry colname="col6">0.85</oasis:entry>
         <oasis:entry colname="col7">13.24</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M215" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>25 %</oasis:entry>
         <oasis:entry colname="col9">31 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PP</oasis:entry>
         <oasis:entry colname="col2">0.81</oasis:entry>
         <oasis:entry colname="col3">17.26</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M216" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>31 %</oasis:entry>
         <oasis:entry colname="col5">35 %</oasis:entry>
         <oasis:entry colname="col6">0.81</oasis:entry>
         <oasis:entry colname="col7">17.06</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M217" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30 %</oasis:entry>
         <oasis:entry colname="col9">34 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">OTHR</oasis:entry>
         <oasis:entry colname="col2">0.84</oasis:entry>
         <oasis:entry colname="col3">12.24</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M218" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>24 %</oasis:entry>
         <oasis:entry colname="col5">29 %</oasis:entry>
         <oasis:entry colname="col6">0.84</oasis:entry>
         <oasis:entry colname="col7">12.17</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M219" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>24 %</oasis:entry>
         <oasis:entry colname="col9">29 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Average</oasis:entry>
         <oasis:entry colname="col2">0.81</oasis:entry>
         <oasis:entry colname="col3">14.71</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M220" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>29 %</oasis:entry>
         <oasis:entry colname="col5">33 %</oasis:entry>
         <oasis:entry colname="col6">0.81</oasis:entry>
         <oasis:entry colname="col7">14.55</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M221" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>28 %</oasis:entry>
         <oasis:entry colname="col9">33 %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5" specific-use="star"><?xmltex \currentcnt{5}?><label>Table 5</label><caption><p id="d1e3406">Same as Table 4 but for NO<inline-formula><mml:math id="M222" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col5" align="center" colsep="1">EmisAdj_avg </oasis:entry>
         <oasis:entry rowsep="1" namest="col6" nameend="col9" align="center">EmisAdj_sub </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Domains/stats</oasis:entry>
         <oasis:entry colname="col2">CORR</oasis:entry>
         <oasis:entry colname="col3">RMSE</oasis:entry>
         <oasis:entry colname="col4">NMB</oasis:entry>
         <oasis:entry colname="col5">NME</oasis:entry>
         <oasis:entry colname="col6">CORR</oasis:entry>
         <oasis:entry colname="col7">RMSE</oasis:entry>
         <oasis:entry colname="col8">NMB</oasis:entry>
         <oasis:entry colname="col9">NME</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">NYC</oasis:entry>
         <oasis:entry colname="col2">0.82</oasis:entry>
         <oasis:entry colname="col3">4.23</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M223" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>22 %</oasis:entry>
         <oasis:entry colname="col5">27 %</oasis:entry>
         <oasis:entry colname="col6">0.82</oasis:entry>
         <oasis:entry colname="col7">4.77</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M224" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>29 %</oasis:entry>
         <oasis:entry colname="col9">31 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PH</oasis:entry>
         <oasis:entry colname="col2">0.79</oasis:entry>
         <oasis:entry colname="col3">5.69</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M225" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>36 %</oasis:entry>
         <oasis:entry colname="col5">41 %</oasis:entry>
         <oasis:entry colname="col6">0.79</oasis:entry>
         <oasis:entry colname="col7">5.53</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M226" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>33 %</oasis:entry>
         <oasis:entry colname="col9">40 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NHH</oasis:entry>
         <oasis:entry colname="col2">0.49</oasis:entry>
         <oasis:entry colname="col3">7.69</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M227" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>44 %</oasis:entry>
         <oasis:entry colname="col5">49 %</oasis:entry>
         <oasis:entry colname="col6">0.49</oasis:entry>
         <oasis:entry colname="col7">7.53</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M228" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>41 %</oasis:entry>
         <oasis:entry colname="col9">48 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PP</oasis:entry>
         <oasis:entry colname="col2">0.67</oasis:entry>
         <oasis:entry colname="col3">2.92</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M229" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18 %</oasis:entry>
         <oasis:entry colname="col5">35 %</oasis:entry>
         <oasis:entry colname="col6">0.67</oasis:entry>
         <oasis:entry colname="col7">2.95</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M230" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>21 %</oasis:entry>
         <oasis:entry colname="col9">36 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">OTHR</oasis:entry>
         <oasis:entry colname="col2">0.69</oasis:entry>
         <oasis:entry colname="col3">2.56</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M231" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>33 %</oasis:entry>
         <oasis:entry colname="col5">39 %</oasis:entry>
         <oasis:entry colname="col6">0.69</oasis:entry>
         <oasis:entry colname="col7">2.54</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M232" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>32 %</oasis:entry>
         <oasis:entry colname="col9">39 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Average</oasis:entry>
         <oasis:entry colname="col2">0.69</oasis:entry>
         <oasis:entry colname="col3">4.62</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M233" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>31 %</oasis:entry>
         <oasis:entry colname="col5">38 %</oasis:entry>
         <oasis:entry colname="col6">0.69</oasis:entry>
         <oasis:entry colname="col7">4.67</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M234" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>31 %</oasis:entry>
         <oasis:entry colname="col9">39 %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Effectiveness of combined adjustment methods</title>
      <p id="d1e3758">After assessing the effects of individual updates, we test how these updates
can be combined to optimize forecasting performance. In the preceding
sections, three groups of adjustment approaches have been included and
evaluated. For each group, the best performing method has been identified,
including the dynamic BCs, ICs with OI bias and rapid emission refresh
(including EmisAdj_avg and EmisAdj_sub). With
these selected updates, we design and conduct two multi-adjustment
simulations; the first one used both the dynamic BCs and the OI-bias-adjusted initial concentration files (BO for short), and the other one
employed the NO<inline-formula><mml:math id="M235" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emission adjustment together with the combination of
BCON and OI bias (BOE hereafter). Results of these combined adjustments are
compared against the Control, BCON run and the NAQFC prediction.</p>
      <p id="d1e3770">First, we compare two BOE simulations, one with the EmisAdj_avg emission adjustment and the other with EmisAdj_sub. The
statistical metrics of BOE with EmisAdj_avg and BOE with
EmisAdj_sub (Tables S4, S5) are quite similar in each sub
region and also have the same correlations. On average, the RMSEs of the
combined BOE setup using the EmisAdj_avg method are slightly
smaller than that using the EmisAdj_sub method during the
study period (Tables S4, S5), which is different from that when a single
adjustment method was applied (see Tables 4 and 5). Therefore, in the
subsequent evaluation we take BOE (EmisAdj_avg) to compare
against surface and other observations. Figure 8 compares the predicted
hourly O<inline-formula><mml:math id="M236" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M237" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations against in situ observations from
26 to 31 August 2018 in five subdomains and the overall domain with Taylor
diagrams (Taylor, 2001). In the Taylor diagram, the relative skill of each
forecasting system to reproduce the O<inline-formula><mml:math id="M238" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M239" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> variability is
represented using three statistical metrics: correlation (<inline-formula><mml:math id="M240" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>) with values on
arc of the right angled sector, normalized standard deviation (SD) with
values on the <inline-formula><mml:math id="M241" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis and centered root-mean-square difference (RMSD) with
values on the <inline-formula><mml:math id="M242" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis. The normalized SD is shown as the dashed-line concentric
circles, while RMSD is shown as non-dashed-line concentric circles, with the observation
point acting as the center (OBS on the <inline-formula><mml:math id="M243" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis). Their values higher (lower) than
1 indicate biased high (low) of the simulations. In general, the forecasting
skill is measured by the distance to the OBS point on these diagrams: the
shorter the better. The default (Control) run yielded a correlation
coefficient of approximately 0.8 (0.77–0.84) in each subdomain, while those
with adjustments show stronger correlations with <inline-formula><mml:math id="M244" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> all above 0.9.
Furthermore, the performance in the OTHER areas is better than that in the
five subdomains, with the <inline-formula><mml:math id="M245" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> value up to 0.97 and SD close to 1 (Fig. 8e).
Taylor diagrams also reveal that these adjustments are even more effective
over the low emission areas. The three adjusted runs, namely BCON (no. 2),
BO (no. 3) and BOE (no. 4) in the diagrams, have reproduced surface
O<inline-formula><mml:math id="M246" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations over the NYC region well. The simulations with BOE usually
demonstrate a relatively lower O<inline-formula><mml:math id="M247" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration level than that with
the BCON run or the combined BCON and OI run. This means in the
overestimated areas (such as NYC, Fig. 8a), the simulations with emission
adjustment show better performance than that without emission adjustment. In
addition, these three simulations have similar biases and errors, with NMB
ranging from 4 % to 22 % and NME from 15 % to 22 % (Fig. 9a, c). These results illustrate the importance of combining complementary modeling system
updates to reduce model uncertainties in a comprehensive way. A single
update, such as emission adjustment, may result in a better emission input
closer to the “true” level, but its effect can be offset by systematic
biases caused by other inputs. Concurrent improvements of boundary
conditions and initial concentrations allow for a more realistic initial state
and boundary conditions to demonstrate the effectiveness of the emission
adjustment in improving O<inline-formula><mml:math id="M248" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> forecasting (Fig. 9).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e3882">Model performance in Taylor diagrams of hourly O<inline-formula><mml:math id="M249" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (in red
color) and NO<inline-formula><mml:math id="M250" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (in blue color) simulated by five runs, including the
Control run, dynamic boundary conditions (BCON), boundary conditions with
optimal interpolation (BCON<inline-formula><mml:math id="M251" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>OI) and an all-adjustment run including
emission adjustment (BOE) and the operational NOAA National Air Quality
Forecast Capability (NAQFC) run during the episode over five subdomains and
the overall domain (Average). The comparison time is from 26 to 31 August
2018.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/16531/2021/acp-21-16531-2021-f08.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e3919">Comparisons of model performance for surface O<inline-formula><mml:math id="M252" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (<bold>a</bold> and <bold>b</bold>) and
NO<inline-formula><mml:math id="M253" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (<bold>c</bold> and <bold>d</bold>) concentrations from five CMAQ simulations against
measurements from the Air Quality System monitors. These simulations include
the Control run, dynamic boundary conditions (BCON), boundary conditions
with optimal interpolation (BCON<inline-formula><mml:math id="M254" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>OI), and an all-adjustment run including
emission adjustment (BCON<inline-formula><mml:math id="M255" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>OI<inline-formula><mml:math id="M256" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>EmisAdj), and the operational NOAA National
Air Quality Forecast Capability (NAQFC) run during the episode over five
subdomains. Two performance metrics are used here: normalized mean bias
(NMB) and normalized mean error (NME). The comparison time is from 26 to 31 August 2018.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/16531/2021/acp-21-16531-2021-f09.png"/>

        </fig>

      <p id="d1e3980">The Taylor diagrams show that the performance of variability of NO<inline-formula><mml:math id="M257" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
predictions is generally worse than that of variability of O<inline-formula><mml:math id="M258" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
predictions. Overlaid on the same diagrams, the points that represent
NO<inline-formula><mml:math id="M259" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> performance are all further away from the OBS point compared to
that representing O<inline-formula><mml:math id="M260" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from the same simulations (Fig. 8). This is not
surprising as O<inline-formula><mml:math id="M261" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> has been one of the focal points in air quality
modeling in the past decades, while NO<inline-formula><mml:math id="M262" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> has not been scrutinized with
the same intensity. All of the high-resolution simulations, including the
Control run with unrealistic boundary conditions, perform better for
NO<inline-formula><mml:math id="M263" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> prediction than the NAQFC run (Fig. 9), highlighting the benefit of
using a high-resolution modeling system for predicting short-lived chemical
species such as NO<inline-formula><mml:math id="M264" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. The NAQFC generally underestimates NO<inline-formula><mml:math id="M265" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentrations in all subdomains. Its bias is the smallest in the NYC
subdomain and the largest in the downwind New Haven–Hartford region. The
correlation<?pagebreak page16543?> coefficient is between 0.8 and 0.9 in NYC but lower than 0.6 in
the New Haven–Hartford region (Fig. 8). Similarly, the NMB is within 10 % in NYC but can be as large as <inline-formula><mml:math id="M266" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>65 % in the New Haven–Hartford region. Such a contrast suggests either an underestimate of emission sources in Connecticut or an unrealistically short lifetime of NO<inline-formula><mml:math id="M267" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> due to flawed model chemistry, or a combination of both.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><?xmltex \opttitle{High-O${}_{{3}}$ episode simulations during the LISTOS field campaign}?><title>High-O<inline-formula><mml:math id="M268" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> episode simulations during the LISTOS field campaign</title>
      <p id="d1e4100">In this section, the newly developed high-resolution system, equipped with
all forecast improvements (dynamic boundary conditions, optimal
interpolation and emission adjustment, or BOE), is used to simulate a high-O<inline-formula><mml:math id="M269" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> episode over the Long Island Sound region. During the high-O<inline-formula><mml:math id="M270" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-pollution days (28–29 August 2018) in this episode, surface O<inline-formula><mml:math id="M271" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations exceeded the National Ambient Air Quality Standard (NAAQS)
(daily maximum 8 h average of 70 ppbv) at several monitoring locations,
including one site (Colliers Mills) in New Jersey, one site (Riverhead) in
New York and five sites (Greenwich, Madison-Beach Road,
Middletown-CVH-Shed, Stratford and Westport) in Connecticut. While merely
exceeding the threshold values by a few parts per billion by volume at most sites, the O<inline-formula><mml:math id="M272" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations reached 84 ppbv at the Westport site and 87 ppbv at the
Stratford site. Considering the significant emission reduction and air
quality improvements in the eastern United States (He et al., 2020; Qu et
al., 2019), this episode, which occurred during a well-designed field
campaign, offers a rare opportunity to assess how well a
state-of-the-science air quality model can predict a high-O<inline-formula><mml:math id="M273" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-pollution
event that is now less frequent than in the past decades.</p>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><?xmltex \opttitle{NO${}_{{2}}$ prediction}?><title>NO<inline-formula><mml:math id="M274" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> prediction</title>
      <p id="d1e4165">CMAQ predictions of NO<inline-formula><mml:math id="M275" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> surface concentrations and vertical column
density are compared against ground and aircraft observations. NO<inline-formula><mml:math id="M276" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is
not only a key precursor to tropospheric ozone, but also a proxy for
traffic-related air pollution in many epidemiological studies (e.g., Jerrett
et al., 2007). Within the LISTOS CMAQ domain, there are four active ground
monitors with valid NO<inline-formula><mml:math id="M277" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> readings during the study period. Hourly
variations from AQS monitors, the BOE 3 km prediction and the operational
NAQFC prediction are illustrated in Fig. 10. Among these sites, the lowest
NO<inline-formula><mml:math id="M278" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations were observed at the Flax Pond site in the middle of
Long Island, away from the major emission sources. Both BOE and NAQFC are
able to reproduce the magnitude and diurnal variations of surface NO<inline-formula><mml:math id="M279" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentrations at this site. The NO<inline-formula><mml:math id="M280" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration at the Queens
College site, also located in the Long Island Sound and downtown NYC, is
significantly higher than at the Flax Pond site, due to its close proximity
to major sources such as the tunnels, harbors and highways. At this site,
the BOE 3 km prediction is considerably better than that from the NAQFC
prediction. Similarly, the BOE prediction outperforms the NAQFC at the New
Haven site in Connecticut, where the surface NO<inline-formula><mml:math id="M281" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration reaches
40 ppbv on 28 August and 55 ppbv on 29 August 2018. The NAQFC-predicted
concentration is<?pagebreak page16544?> constantly below 10 ppbv, severely underestimating the
observations. In comparison, the BOE-predicted concentrations are much
closer to the observations, although still underpredicting the latter.
Finally, both models missed the first, primary peak on both days at the
Westport, CT site, which is strongly influenced by the NYC plume and sea
breeze circulation.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e4234">Variations of observed (OBS) and simulated surface NO<inline-formula><mml:math id="M282" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentrations by the 3 km BOE system (BOE) and the 12 km NOAA NAQFC system
(NOAA NAQFC) at <bold>(a)</bold> Flax Pond, NY; <bold>(b)</bold> Queens College, NY; <bold>(c)</bold> New Haven,
CT; and <bold>(d)</bold> Westport, CT, sites during 28–29 August 2018.</p></caption>
          <?xmltex \igopts{width=492.232677pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/16531/2021/acp-21-16531-2021-f10.png"/>

        </fig>

      <?pagebreak page16546?><p id="d1e4264">Next, the two model simulations are compared against the NO<inline-formula><mml:math id="M283" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VCD
measured by NASA GCAS during the LISTOS field campaign. In order to allow for a
comparison between simulations and measurements from GCAS, the CMAQ
prediction of NO<inline-formula><mml:math id="M284" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratio is vertically integrated from the
surface to the layer, which is the closest to the plane altitude to generate
vertical column density (unit: molecules cm<inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, with GCAS data averaged
over the 3 km grid to provide a spatially representative observation dataset. We also sample the model data to match the actual measurement time. The
GCAS observations show higher NO<inline-formula><mml:math id="M286" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VCD in the morning and lower values
in the afternoon. This temporal pattern is well captured by both
simulations. The GCAS observations depict an NO<inline-formula><mml:math id="M287" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> hotspot over lower
Manhattan and Brooklyn, which is reproduced by both BOE and NAQFC (Fig. 11).
The observed and simulated VCDs are generally at the same magnitude
(4–40 <inline-formula><mml:math id="M288" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M289" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M290" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), with BOE better capturing
the peak values. Moreover, the VCD prediction from the BOE run presents a
northeastward pattern, and it was lower over the water area of LIS than that over
surrounding lands. In comparison, the VCD from NAQFC shows a high NO<inline-formula><mml:math id="M291" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
plume over the land and the water around LIS. Compared to that from NAQFC,
the spatial distribution of NO<inline-formula><mml:math id="M292" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VCD from BOE is more consistent with
that of GCAS. This is also the case for the prediction of surface NO<inline-formula><mml:math id="M293" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
distributions (Fig. 3), indicating the high-resolution system can outperform
NAQFC through resolving the fine-scale processes. It should be noted that
the VCD levels from both simulations are biased high outside the high-emission-density areas, especially in the morning. The BOE prediction shows
a larger area of high-NO<inline-formula><mml:math id="M294" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VCD than that from GCAS, suggesting either a
positive bias in NO<inline-formula><mml:math id="M295" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions or inefficient transformation and
removal of emitted NO<inline-formula><mml:math id="M296" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> in the CMAQ model. The high-NO<inline-formula><mml:math id="M297" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VCD from
the NAQFC simulation is lower than the measurements over lower Manhattan and
Brooklyn, and the high-NO<inline-formula><mml:math id="M298" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VCD extends to an area larger than that from
both GCAS and BOE. The performance is relatively unsatisfactory during the
high-pollution period in the morning of 28 August (Fig. 11e, i), with a
correlation of only 0.56 for BOE and 0.44 for NAQFC. These low correlations
could be in part caused by the high spatial variability of fine resolution
measured VCD, so that the averaged VCD is still more variable than either
model. In contrast, the spatial patterns of NO<inline-formula><mml:math id="M299" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VCD in the afternoon
are better reproduced than in the morning (Table S6). In addition, the
NO<inline-formula><mml:math id="M300" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VCD from the simulation with combined adjustments using the
EmisAdj_sub method for emission refresh shows a similar
spatial pattern to that using BOE (Fig. S3). The NO<inline-formula><mml:math id="M301" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VCD level,
however, is lower over the NYC area, suggesting an underestimate over the
hotspot but much better prediction over the rest of the area. Besides the
uncertainties in the model, an evaluation conducted by Judd et al. (2020)
showed that the absolute difference in GCAS from Pandora measurements has an
average and standard deviation of <inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M303" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and a percent difference on
average of <inline-formula><mml:math id="M304" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.5 % <inline-formula><mml:math id="M305" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 20 %. Overall, the BOE simulation at the 3 km resolution is able to reproduce the observed NO<inline-formula><mml:math id="M306" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VCD, and unlike the
results of surface NO<inline-formula><mml:math id="M307" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, the NO<inline-formula><mml:math id="M308" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VCD using EmisAdj_sub has lower NMB (33 %) and NME (57 %) compared to that using
EmisAdj_avg (40 % and 61 %), while their correlation is
still the same (0.74). It indicates the advantage of adjusting emission with
a finer spatial resolution in simulating NO<inline-formula><mml:math id="M309" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> vertical column in this
study. Table S6 shows that both 3 km simulations perform better than the 12 km NAQFC (<inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.57</mml:mn></mml:mrow></mml:math></inline-formula>, NMB <inline-formula><mml:math id="M311" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 45 % and NME <inline-formula><mml:math id="M312" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 76 %, respectively).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e4569">Spatial distribution of NO<inline-formula><mml:math id="M313" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> vertical column density (VCD)
observed by NASA GeoCAPE Airborne Simulator (GCAS) (top row) and simulated
by the 3 km BOE (center row) and 12 km NOAA NAQFC (bottom row) over the LIS
domain during 28–29 August 2018. There were two flight missions each day:
the morning flight (AM) from <inline-formula><mml:math id="M314" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 11:00 to 15:00 UTC and
the afternoon flight (PM) from <inline-formula><mml:math id="M315" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 16:00 to 20:00 UTC.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/16531/2021/acp-21-16531-2021-f11.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><?xmltex \opttitle{O${}_{{3}}$ prediction}?><title>O<inline-formula><mml:math id="M316" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> prediction</title>
      <p id="d1e4619">One key result expected from the improved prediction system is better
prediction of high-O<inline-formula><mml:math id="M317" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> episodes, especially those events that cause the
exceedance of NAAQS. Here we compare the model performance between BOE and
NAQFC at the seven sites where the O<inline-formula><mml:math id="M318" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations exceeded the
NAAQS. Compared to NAQFC, BOE demonstrates enhanced prediction skills at all
sites (Fig. 12). Note the comparisons may be attributed to the differences
in meteorology, emission and other factors. Although it is difficult to
attribute the improvement quantitatively to each factor, the magnitude of
O<inline-formula><mml:math id="M319" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> improvement from the base run to the BOE run is comparable to that
of the overall reduced O<inline-formula><mml:math id="M320" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> bias, suggesting a significant contribution
from these improvement techniques. The results show that BOE can better
capture peak O<inline-formula><mml:math id="M321" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> values than NAQFC in the afternoon, a highly desired
feature in predicting O<inline-formula><mml:math id="M322" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> exceedances. Hourly surface O<inline-formula><mml:math id="M323" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations reached more than 100 ppbv at four Connecticut sites,
including Greenwich, Westport, Middletown-CVH-Shed and Stratford. While
neither BOE nor NAQFC is able to predict such high values, BOE reduces the
bias by 10–20 ppbv during peak hours at these sites. The improvement of peak O<inline-formula><mml:math id="M324" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> prediction is less significant on the other sites with lower
observed O<inline-formula><mml:math id="M325" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration, but BOE still displays better performance
than NAQFC. There are only three sites at which one or both simulations
overpredict peak O<inline-formula><mml:math id="M326" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> on the 29 August 2018. Compared to NAQFC, BOE
shows larger overprediction of the peak O<inline-formula><mml:math id="M327" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> at the Greenwich site but
smaller overprediction at two other sites (Middletown and Westport).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><?xmltex \currentcnt{12}?><?xmltex \def\figurename{Figure}?><label>Figure 12</label><caption><p id="d1e4724">Time series of observed (OBS) and simulated surface O<inline-formula><mml:math id="M328" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations by the 3 km system with dynamic boundary conditions, OI
initialization and emission adjustment (BOE) and the 12 km NOAA National Air
Quality Forecast Capability System (NAQFC) system at the seven sites where
the National Ambient Air Quality Standard (NAAQS) for O<inline-formula><mml:math id="M329" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> were exceeded
during 28–29 August 2018: <bold>(a)</bold> Colliers Mills, <bold>(b)</bold> Riverhead, <bold>(c)</bold> Greenwich,
<bold>(d)</bold> Madison-Beach Road, <bold>(e)</bold> Middletown-CVH-Shed, <bold>(f)</bold> Stratford and <bold>(g)</bold> Westport.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/16531/2021/acp-21-16531-2021-f12.png"/>

        </fig>

      <p id="d1e4773">Besides better peak prediction, BOE has also improved the prediction of the
timing of peak O<inline-formula><mml:math id="M330" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. The peaks predicted by BOE are 2 to 3 h
earlier than that by NAQFC, which agrees better with the timing of the
observed peaks (Fig. 12). The BOE peaks are narrower than the NAQFC ones, so
that the former follows the observed O<inline-formula><mml:math id="M331" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> downslope and avoids the
positive biases during late afternoon and early evening. Finally, BOE has
improved the prediction of low O<inline-formula><mml:math id="M332" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations and nighttime O<inline-formula><mml:math id="M333" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
valleys that are lower than those from NAQFC. Both simulations, however, are
unable to reproduce the extreme low nighttime values at several sites.
Overall, the BOE simulation performs better in capturing daytime O<inline-formula><mml:math id="M334" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
peaks and nighttime valleys, as well as the timing of both, with a mean
correlation coefficient of 0.93 compared to 0.88 for the NAQFC simulation.
This can be in part attributed to the high resolution of the LIS 3 km system,
which can better resolve meteorology and emission variations. As the
emissions and meteorological inputs play an important role in determining
the magnitude and timing of high peaks (Pan et al., 2017), high-resolution
data of both emission and meteorology contributed to the improved the
simulation of peak O<inline-formula><mml:math id="M335" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> value and its timing, especially over urban areas
(Fig. 12).</p>
      <p id="d1e4832">Vertical profiles of O<inline-formula><mml:math id="M336" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> are compared between the Langley Mobile O<inline-formula><mml:math id="M337" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
Lidar (LMOL) observations and the CMAQ simulations at the Westport site. As
shown in Fig. 13, LMOL observations reveal that the O<inline-formula><mml:math id="M338" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration in
the planetary boundary layer starts to build up around 16:00–17:00 UTC, and
high concentrations (<inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula> ppbv), which extend to
a height of about 1.5 km, last until 23:00 UTC on 28 and 29 August. This
pattern is reproduced by both the BOE and NAQFC simulations. Above the PBL,
the variations of O<inline-formula><mml:math id="M340" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations are also captured by both
simulations. O<inline-formula><mml:math id="M341" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations in the free troposphere are more
controlled by regional O<inline-formula><mml:math id="M342" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production and transport than in the PBL.
Consequently, the structure and magnitude of the O<inline-formula><mml:math id="M343" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> profiles are very
similar between the BOE and NAQFC simulations, since the BOE simulation is
driven by the dynamic boundary conditions derived from the same NAQFC
simulation. Compared to that from the LMOL observations, the predicted
O<inline-formula><mml:math id="M344" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations from both runs are biased low above 800 hPa but
biased high below it. Between the two model simulations, the BOE run not
only produces more O<inline-formula><mml:math id="M345" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the PBL, but also shows a better temporal
evolution of the PBL structure, with a short-lived high O<inline-formula><mml:math id="M346" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> peak and a
PBL height peak between 20:00–22:00 UTC on 28 August and persistent
O<inline-formula><mml:math id="M347" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and PBL height plateaus between 16:00–23:00 UTC on 29 August (Fig. 13). The PBL in the BOE simulation extends well above 850 mbar, while the
observed high O<inline-formula><mml:math id="M348" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from LMOL generally stays beneath this height,
suggesting possible overprediction of the PBL height.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13" specific-use="star"><?xmltex \currentcnt{13}?><?xmltex \def\figurename{Figure}?><label>Figure 13</label><caption><p id="d1e4959">Comparison of vertical O<inline-formula><mml:math id="M349" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> profiles (observed by NASA Langley
Mobile O<inline-formula><mml:math id="M350" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> Lidar (left column, <bold>a</bold> and <bold>d</bold>)) with these simulated by the 3 km prediction system (central column, <bold>b</bold> and <bold>e</bold>) and the 12 km NOAA NAQFC
(right column, <bold>c</bold> and <bold>f</bold>) over the Westport site on 28 August (<bold>a–c</bold>) and
29 August 2018 (<bold>d–f</bold>), respectively. Note white represents missing
data from the lidar data.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/16531/2021/acp-21-16531-2021-f13.png"/>

        </fig>

      <p id="d1e5011">In general, the 3 km BOE simulation performs better to capture the temporal
variability of the PBL and O<inline-formula><mml:math id="M351" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production but tends to overestimate both
during this episode.<?pagebreak page16547?> In contrast, the NAQFC simulation has produced less
pronounced temporal variations in both O<inline-formula><mml:math id="M352" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations and PBL height
in the lower troposphere, in particular on 28 August when this region
experienced the worst air quality in several states. The NAQFC simulation,
however, performed better during the time with lower O<inline-formula><mml:math id="M353" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations,
which resulted in an overall lower NMB (9 %) and NME (21 %) comparing to that in BOE (22 % and 26 % respectively). The BOE simulation, however, presented a much better reproduction of the O<inline-formula><mml:math id="M354" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> variability in terms of correlation (0.71) than the NAQFC run (0.54). This suggests that the new 3 km BOE system is more responsive to the variations of the controlling
factors that shape O<inline-formula><mml:math id="M355" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> pollution, although the system needs to be
further refined to reduce bias. The model performance for O<inline-formula><mml:math id="M356" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> surface
concentration and vertical distribution using the AFs from
EmisAdj_sub is very close to that using the AFs from
EmisAdj_avg in the BOE case (Fig. S4, Table S7).</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Summary</title>
      <p id="d1e5079">Improvement of air quality in the past decades renders the prediction of
high-ozone events more challenging. This study investigates the feasibility
of designing a high-resolution air quality prediction system to capture
these less frequent events with more accuracy. Relying on the observations
collected during the Long Island Sound Tropospheric Ozone Study field
campaign, we have assessed the effectiveness of various improvements to the
prediction system to enhance the predictability of high-O<inline-formula><mml:math id="M357" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> episodes.
These updates were then combined to explore how to further improve the
predictability of both ozone and nitrogen dioxide. Finally, the modeling
system with combined updates has been utilized to simulate a severe high-O<inline-formula><mml:math id="M358" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-pollution event in the Long Island Sound and surrounding areas.</p>
      <?pagebreak page16549?><p id="d1e5100">Different prediction system updates demonstrate varying potentials to
improve O<inline-formula><mml:math id="M359" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M360" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> prediction performance. For O<inline-formula><mml:math id="M361" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> prediction,
the most significant improvement comes from the dynamic boundary conditions
derived from NOAA National Air Quality Forecast Capability (NAQFC), compared
to that with the static boundary conditions. This is due in part to the fact
that the model domain used in this study is relatively small and that O<inline-formula><mml:math id="M362" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
is a regional air pollutant, making its prediction more susceptible to
the influence of regional transport. Dynamic boundary conditions (BCs) are
less influential in NO<inline-formula><mml:math id="M363" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> prediction, for which all high-resolution
simulations outperform the 12 km NAQFC simulation, highlighting the
importance of spatially resolved emission and meteorology for the prediction
of short-lived pollutants. The impact of improved initial concentrations
through optimal interpolation (OI) is shown to be large in urban areas
initially but fades away rapidly. The influence of OI adjustment, however,
lingers for a longer period in an area with low emission density where
emissions and chemical reactions make a smaller contribution to the O<inline-formula><mml:math id="M364" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
budget than that in the areas with high emission density. Such a method may be
more useful if applied to vertical layers above the ground. Future air
quality forecasting and modeling can benefit from concerted efforts to
provide near-real-time data of O<inline-formula><mml:math id="M365" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> aloft on a continuous basis (Mathur
et al., 2018), so that improved initialization of the aloft conditions can
better represent regional transport and modulate the inferred impact of LBCs
on O<inline-formula><mml:math id="M366" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> prediction. Finally, emission adjustment, which changes the
baseline emissions using the temporal trends derived from ground and
satellite observations, only yields moderate improvement in O<inline-formula><mml:math id="M367" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
prediction compared to that without emission adjustment. One possible
direction to explore is to apply other methods to constrain emissions that
use both variational (e.g., Elbern et al., 2007; Vira and Sofiev, 2012) and
ensemble-based (e.g., Miyazaki et al., 2012, 2017) solutions to analyze the 3D
chemical tracers as well as their respective precursor emissions
simultaneously. In addition, the importance of volatile consumer product
VOCs has been identified in recent studies (McDonald et al., 2018),
suggesting that updating other species than NO<inline-formula><mml:math id="M368" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> is also necessary. This
may be challenging, however, through a similar approach to the NO<inline-formula><mml:math id="M369" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emission
adjustment implemented here, since there are limited measurements of VOCs
from both ground and space instruments. While the effectiveness of each
update varies, a combination of these updates proves to outperform that with
each single update. The new prediction system at 3 km resolution, equipped
with dynamic BCs, OI and Emission adjustment (BOE), was used to simulate a
high-O<inline-formula><mml:math id="M370" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> episode over the Long Island Sound region. Compared to the 12 km
operational NAQFC, the BOE system is able to significantly reduce the biases
in surface O<inline-formula><mml:math id="M371" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M372" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> prediction. The BOE is also able to
reproduce NO<inline-formula><mml:math id="M373" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> VCD observed by NASA Langley GCAS with higher accuracy
than the NAQFC. More importantly, the BOE simulation shows considerable
improvement in capturing the O<inline-formula><mml:math id="M374" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> peaks and valleys, as well as the
timing of both, with a correlation coefficient of 0.93 compared to that of
0.88 by the NAQFC. This study demonstrates feasible measures to improve the
capability of air quality prediction systems to capture high-O<inline-formula><mml:math id="M375" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
episodes in a cleaner urban environment.</p>
</sec>

      
      </body>
    <back><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d1e5262">WRF is an open-source community model. The source code is publicly available at <uri>https://www2.mmm.ucar.edu/wrf/users/download/get_sources.html</uri>, (WRF Development and Support Team, 2021).
Source code for CMAQ version 5.3.1 and SMOKE version 4.7 can be downloaded from Community Modeling and Analysis System (CMAS) Center, available at <uri>https://www.cmascenter.org/download/software/cmaq/cmaq_5-3-1.cfm?DB=TRUE</uri> and <uri>https://www.cmascenter.org/download/software/smoke/smoke_4-7.cfm?DB=TRUE</uri> (CMAS, 2021a, b).
The AirNow hourly data of O<inline-formula><mml:math id="M376" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M377" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> are available at
<uri>https://files.airnowtech.org/?prefix=airnow</uri> (US EPA, 2021a), and the hourly NO<inline-formula><mml:math id="M378" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> data from the US EPA Air Quality System (AQS) surface
network are available at <uri>https://aqs.epa.gov/aqsweb/airdata/download_files.html#Raw</uri> (US EPA, 2021b).
The GCAS NO<inline-formula><mml:math id="M379" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> vertical column density and the LMOL
O<inline-formula><mml:math id="M380" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> vertical profile data from LISTOS are available at <uri>https://www-air.larc.nasa.gov/cgi-bin/ArcView/listos</uri> (NASA, 2018).
The monthly product of NO<inline-formula><mml:math id="M381" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> vertical column density from OMI is available at <uri>https://avdc.gsfc.nasa.gov/pub/data/satellite/Aura/OMI</uri> (NASA and GSFC, 2021).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e5342">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-21-16531-2021-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-21-16531-2021-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e5351">DT and SM designed the study, conducted the simulations and wrote the manuscript. JW, XZ and PL helped with the development of the modeling system. LL, RS and LJ provided OMI and LISTOS field campaign data and helped with interpretation of the results. YT and TC provided code for the original OI method. All authors edited and commented on the manuscript. All authors read, revised and approved the final paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e5357">The authors declare that they have no conflict of interest.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e5363">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e5369">This work was partially supported by a National Research Council fellowship to Siqi Ma at NOAA Air Resources Laboratory and by the NOAA Weather Program Office and Robert Wood Johnson Foundation to Daniel Tong. The authors are grateful to the EPA and NYDEC for sharing the AQS data and to NASA for providing the OMI, GCAS and Langley Mobile O<inline-formula><mml:math id="M382" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> Lidar datasets. Finally, we want to thank the editor for handling our submission and two anonymous reviewers for their constructive comments on earlier versions of this paper.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e5383">This research has been supported by the National Oceanic and Atmospheric Administration (grant nos. NA19OAR4590085, NA19OAR4590082, and NA20OAR4310294).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e5389">This paper was edited by Andreas Hofzumahaus and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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