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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-18-1185-2018</article-id><title-group><article-title>Ozone trends over the United States at different times of day</article-title>
      </title-group><?xmltex \runningtitle{Ozone trends over the United States at different times of day}?><?xmltex \runningauthor{Y. Yan et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Yan</surname><given-names>Yingying</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6251-0899</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Lin</surname><given-names>Jintai</given-names></name>
          <email>linjt@pku.edu.cn</email>
        <ext-link>https://orcid.org/0000-0002-2362-2940</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>He</surname><given-names>Cenlin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7367-2815</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Laboratory for Climate and Ocean-Atmosphere Studies, Department of Atmospheric and Oceanic Sciences,<?xmltex \hack{\break}?> School of Physics, Peking University, Beijing 100871, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Joint Institute for Regional Earth System Science and Engineering, Department of Atmospheric and Oceanic Sciences, University of California, Los Angeles, Los Angeles, California, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Jintai Lin (linjt@pku.edu.cn)</corresp></author-notes><pub-date><day>30</day><month>January</month><year>2018</year></pub-date>
      
      <volume>18</volume>
      <issue>2</issue>
      <fpage>1185</fpage><lpage>1202</lpage>
      <history>
        <date date-type="received"><day>14</day><month>July</month><year>2017</year></date>
           <date date-type="rev-request"><day>15</day><month>August</month><year>2017</year></date>
           <date date-type="rev-recd"><day>23</day><month>November</month><year>2017</year></date>
           <date date-type="accepted"><day>27</day><month>December</month><year>2017</year></date>
      </history>
      <permissions>
        
        
      <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>
    <p id="d1e104">In the United States, the decline of summertime daytime peak ozone in the
last 20 years has been clearly connected to reductions in anthropogenic
emissions. However, questions remain about how and through what mechanisms
ozone at other times of day have changed over recent decades. Here we analyze
the interannual variability and trends of ozone at different hours of day,
using observations from about 1000 US sites during 1990–2014. We find a
clear diurnal cycle both in the magnitude of ozone trends and in the relative
importance of climate variability versus anthropogenic emissions to ozone
changes. Interannual climate variability has mainly been associated with the
detrended fluctuation in the US annual daytime ozone over 1990–2014, with a
much smaller effect on the nighttime ozone. Reductions in anthropogenic
emissions of nitrogen oxides have led to substantial growth in the US annual
average nighttime ozone due to reduced ozone titration, while the summertime
daytime ozone has declined. Environmental policymaking might consider further
improvements to reduce ozone levels at night and other non-peak hours.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e114">Tropospheric ozone is a potent pollutant damaging human and ecological
health. The United States Environmental Protection Agency (EPA) targets the
maximum daily 8 h average (MDA8) ozone levels for regulation, with a current
standard at 70 parts per billion (ppb). The Global Burden of Disease
assessment (Brauer et al., 2016; Lim et al., 2012; Forouzanfar et al., 2015,
2016), however, estimates the threshold level (below which exposure to ozone
is not harmful) to be between 33.3 and 41.9 ppb.
Further, additional epidemiological evidence has shown that there is not a
real threshold, and ozone has adverse health effects at all concentrations
(Bell et al., 2006; Peng et al., 2013; Yang et al., 2012).</p>
      <p id="d1e117">Chemically, surface ozone is produced in the daytime and destroyed mainly by
nitrogen oxides (NO<inline-formula><mml:math id="M1" 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> at night, with a transition between production and
destruction in the dawn and dusk hours. Understanding ozone changes and
drivers at different times of day might provide additional information to
assist further ozone mitigation policymaking beyond the MDA8 regulation.
Previous observational and modeling studies have revealed important impacts
of varying climate conditions and anthropogenic precursor emissions on the
near-surface daytime, MDA8, or daily mean ozone over the
United States (US) (Jacob and Winner, 2009; Fiore et al., 2015). A particular
finding for these studies is that the US emission reductions have decreased
the summertime daytime peak ozone over much of the United States (Cooper et
al., 2012; Lefohn et al., 2010; Simon et al., 2015; Strode et al., 2015).</p>
      <p id="d1e132">In addition, most studies on US ozone trends and variability tend to focus on
ozone changes in a particular season and/or over a particular region – for
example, summertime ozone (Rieder et al., 2015; Lu et al., 2016; Reddy and
Pfister, 2016) over the eastern US (Zhang and Wang, 2016; Rieder et al.,
2015; Shen et al., 2015) or springtime ozone (Cooper et al., 2010) over the
western US (M. Y. Lin et al., 2015). Lin et al. (2017) analyzed the various
driving factors of the US MDA8 ozone trends by season and region, with no
discussion on ozone at other hours.</p>
      <p id="d1e135">Bloomer et al. (2010) analyzed the 1989–2007 changes in the diurnal cycle of
ozone observed from five stations over the eastern US. They showed ozone
reductions at most times of day in the warm seasons due to emission
reductions, in contrast to the increases in winter. Jhun et al. (2015) used a
statistical model of ozone, nitrogen oxides, and several meteorological
parameters to analyze the ozone trends over 1994–2010 measured at over
100 sites across the US. They linked the observed reductions in nitrogen
oxides to reductions in warm season peak ozone and to enhancements in cold
season peak ozone and warm season nighttime ozone. Overall, the historical
changes of ozone at night and other non-peak hours and their underlying
climatic or emission causes have been much less studied compared to those for
peak ozone.</p>
      <p id="d1e139">Here, with the usage of hourly data observed at about 1000 sites from the
Air Quality System (AQS) network, we contrasted the interannual variations
of the daytime versus the nighttime US ozone over 1990–2014 and also
estimated the trends for ozone at the different hours of the day. We further
quantified the individual effects of interannual climate variability and
anthropogenic emissions on the ozone change by using three climate indices
and simulations of the chemical transport model GEOS-Chem. We focused
on the large-scale features of annual mean US averaged surface ozone and the
impacts of broad changes in emissions and climate. We also contrasted the
ozone changes and drivers between the eastern and western US and between
different seasons, with complementary discussions for individual locations
and land use types (urban, suburban, and rural).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p id="d1e144">AQS ozone site distributions in 1990 (with the fewest sites) and
2011 (with the most sites). Rural, suburban, and urban sites are shown in
green, blue, and red, respectively.</p></caption>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/1185/2018/acp-18-1185-2018-f01.png"/>

      </fig>

      <p id="d1e153">The paper is structured as follows. Section 2 introduces the
observation data, climate indices, and GEOS-Chem simulations. Section 3
analyzes the linear trends for annual mean hourly, daytime mean, nighttime
mean, and daily mean ozone. Section 4 compares the observed ozone trends and
interannual variability with three climate indices relevant to the US air
quality. Section 5 uses four GEOS-Chem simulations, with perturbed emissions
and meteorological inputs, to quantify the individual effects of climate
variability and anthropogenic emissions. Section 6 concludes the study.</p>
</sec>
<sec id="Ch1.S2">
  <title>Data and methods</title>
<sec id="Ch1.S2.SS1">
  <title>Ozone measurements</title>
      <p id="d1e167">Hourly measurements of ground-level ozone over 1990–2014 are taken from
about 1000 AQS sites (<uri>http://aqsdr1.epa.gov/aqsweb/aqstmp/airdata/download_files.html</uri>). For a given year, the number of measurement sites vary from
825 to 1295 (see Fig. 1 for site distribution). The fraction of hours in any
year with missing data ranges from 21.3 to 28.5 %. As indicated in
Fig. 1, the AQS network includes rural (42 % of sites on average),
suburban (40 %), and urban (18 %) sites, based on the official site
description document. We mapped the ozone measurements on a
2.5<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> long. <inline-formula><mml:math id="M3" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> lat. grid to facilitate a
comparison with GEOS-Chem simulations. For each hour, we averaged all
available data in a given grid cell. In order to contrast the daytime and
nighttime ozone changes and their underlying drivers, we calculated daily
mean, daytime (07:00–19:00 local time, LT) mean, and nighttime (19:00–07:00 LT) mean ozone mixing ratios from the gridded hourly data. We
averaged the daily data to produce monthly mean and then annual mean values.
We finally selected a total of 124 grid cells with annual average values
available in all years.</p>
<sec id="Ch1.S2.SS1.SSSx1" specific-use="unnumbered">
  <title>Robustness of data selection method</title>
      <p id="d1e203">To test the robustness of ozone trends results against the
data selection method, we used
four alternate methods to choose sites, as follows.</p>
      <p id="d1e206">The first alternate choice concerns the number of sites in a particular grid
cell for geographical representativeness, and it excludes 24 out of the
default 124 grid cells that cover less than three sites each.</p>
      <p id="d1e209">The second choice concerns the temporal continuity of valid data at each
site, and it only includes sites with valid data in at least 3 years for
every 5 years (1990–1994, 1995–1999, etc.) – this leads to a total of
94 valid grid cells that cover 131 rural sites, 164 suburban sites, and 102 urban sites. The spatial distribution of ozone trends in these 94 grid cells
is consistent with the trends in the default 124 grid cells (not shown),
although the (number and locations of) sites in each common grid cell differ
between the two site selection methods.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p id="d1e215">Trends and correlations in observed US average ozone during
1990–2014 calculated based on different data selection criteria.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Data selection criteria</oasis:entry>  
         <oasis:entry rowsep="1" namest="col2" nameend="col10" align="center">Ozone trend (ppb yr<inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and correlation </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry namest="col2" nameend="col4" align="center" colsep="1">Daily </oasis:entry>  
         <oasis:entry namest="col5" nameend="col7" align="center" colsep="1">Daytime </oasis:entry>  
         <oasis:entry namest="col8" nameend="col10" align="center">Nighttime </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Trend</oasis:entry>  
         <oasis:entry colname="col3">Corr.<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">h</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">Detrended</oasis:entry>  
         <oasis:entry colname="col5">Trend</oasis:entry>  
         <oasis:entry colname="col6">Corr.<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">h</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">Detrended</oasis:entry>  
         <oasis:entry colname="col8">Trend</oasis:entry>  
         <oasis:entry colname="col9">Corr.<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">h</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10">Detrended</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">(ppb yr<inline-formula><mml:math id="M22" 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>)</oasis:entry>  
         <oasis:entry colname="col3"/>  
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         <oasis:entry colname="col5">(ppb yr<inline-formula><mml:math id="M24" 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>)</oasis:entry>  
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         <oasis:entry colname="col8">(ppb yr<inline-formula><mml:math id="M26" 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>)</oasis:entry>  
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         <oasis:entry colname="col3">0.86<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.85<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.06<inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.83<inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">0.85<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">0.22<inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">0.87<inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10">0.84<inline-formula><mml:math id="M61" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Cooper et al. (2012)<inline-formula><mml:math id="M62" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.15<inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.88<inline-formula><mml:math id="M64" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.87<inline-formula><mml:math id="M65" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.06<inline-formula><mml:math id="M66" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.85<inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">0.87<inline-formula><mml:math id="M68" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">0.23<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">0.89<inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10">0.87<inline-formula><mml:math id="M71" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e218"><inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M6" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.01.
<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M8" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.05 after an <inline-formula><mml:math id="M9" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> test for
trends and a one-sided <inline-formula><mml:math id="M10" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test for correlation.<?xmltex \hack{\\}?><inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> Based on data in the 124 grid cells, our default choice.<?xmltex \hack{\\}?><inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula> Similar to c, but based on data in the 100 grid cells that
include at least
three sites.<?xmltex \hack{\\}?><inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula> Based on data in the 94 grid cells covering the sites with
valid data in at
least 3 years for every 5 years.<?xmltex \hack{\\}?><inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:math></inline-formula> Based on 70 sites with more than 75 % of hourly data
available in all
years.<?xmltex \hack{\\}?><inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msup></mml:math></inline-formula> Based on 82 sites passing criteria similar to those adopted by
Cooper et
al. (2012).<?xmltex \hack{\\}?><inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">h</mml:mi></mml:msup></mml:math></inline-formula> Correlation between the US annual ozone time series in a
sensitivity case
and the time series in the default case.<?xmltex \hack{\\}?><inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msup></mml:math></inline-formula> Similar to h but for detrended ozone.</p></table-wrap-foot></table-wrap>

      <p id="d1e1071">The third choice is much stricter, and it only selects 70 sites (24 rural
sites, 27 suburban sites, and 19 urban sites) with valid hourly data in
75 % or more of hours during 1990–2014.</p>
      <p id="d1e1074">The last choice is more complex and is similar to the method adopted by
Cooper et al. (2012). At a given site, if more than 50 % of hourly data
are missing in any daytime or nighttime, then the particular day is
discarded. If more than 50 % of days in any season do not contain valid
data, then the particular season is discarded. For any season, there must be
valid seasonal mean data in at least 20 out of 25 years during 1990–2014,
otherwise data in all years for the particular season are discarded. These
criteria lead to 82 sites with valid data, including 30 rural sites,
34 suburban sites, and 18 urban sites.</p>
      <p id="d1e1077">Table 1 shows that our default data selection method lead to ozone trends
similar to the four alternate methods, for the US mean ozone on an annual
basis. Across the five methods, the growth rates are about 0.14–0.17 ppb yr<inline-formula><mml:math id="M72" 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>
for the US annual mean daily mean ozone, 0.06–0.09 ppb yr<inline-formula><mml:math id="M73" 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> for the daytime
mean ozone, and 0.21–0.24 ppb yr<inline-formula><mml:math id="M74" 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> for the nighttime mean ozone. Furthermore,
the interannual variation of US annual ozone in our default case is highly
correlated to the other four cases, regardless of whether the time series are
detrended (<inline-formula><mml:math id="M75" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M76" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.84–0.95). We thus conclude that our ozone trends and
variability results are robust against our choice of sites and data.</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Climate indices</title>
      <p id="d1e1138">We relate the interannual variability of ozone to two major climate indices
relevant to the US air quality (Sutton and Hodson, 2007; M. Y. Lin et al.,
2015): the Atlantic Multi-decadal Oscillation (AMO;
<uri>https://www.esrl.noaa.gov/psd/data/timeseries/AMO/</uri>) index and the
Oceanic Niño index (ONI;
<uri>http://origin.cpc.ncep.noaa.gov/products/analysis_monitoring/ensostuff/ONI_v5.php</uri>).</p>
      <p id="d1e1147">Detrended annual AMO index time series over 1990–2014 is calculated from the
unsmoothed Kaplan sea surface temperature (SST) dataset of the National
Oceanic and Atmospheric Administration (NOAA) Earth System Research
Laboratory
(<uri>http://www.esrl.noaa.gov/psd/data/correlation/amon.us.data</uri>).
Observational and model studies have shown that the recent multi-decadal
fluctuations in Atlantic SST were associated with large-scale climate
anomalies (Enfield et al., 2001; Johannessen et al., 2004; Hu et al., 2011;
Oglesby et al., 2012) important for the ozone chemistry. The warm conditions
in the North Atlantic Ocean (positive AMO) have been associated with
increased air temperatures at northern latitudes (by more than 3 <inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C
locally especially in winter) (Johannessen et al., 2004) and reduced
summertime rainfall and increased droughts over much of the US (Enfield et
al., 2001; McCabe et al., 2004). Delworth and Mann (2000) showed evidence of
AMO-related variations in sea level pressure (SLP), and hence atmospheric
circulation, in the North Atlantic region. Such AMO-associated meteorological
changes can alter the distribution of tropospheric constituents (Olsen et
al., 2016), including ozone (Shen et al., 2015; Lin et al., 2014). For
example, warmer temperature under a positive AMO phase tends to enhance the
ozone production over the US (Lin et al., 2014), less precipitation means
less cloudy and higher radiation for photochemistry (Kunkel et al., 2008),
and the change in circulation affects the ozone transport (Fu et al., 2015).</p>
      <p id="d1e1162">A detrended annual ONI index time series over 1990–2014 is calculated from
the NOAA Climate Prediction Center dataset
(<uri>http://www.cpc.noaa.gov/products/analysis_monitoring/ensostuff/ensoyears.shtml</uri>).
The ONI index refers to ERSST.v4 SST anomalies in the Niño 3.4 region, as
an indicator of the El Niño–Southern Oscillation (ENSO). These SST
anomalies are associated with global climate variability, including changes
in the temperature and precipitation patterns over the Unites States
(Ropelewski and Halpert, 1986; Yu et al., 2012; Yu and Zou, 2013; Liang et
al., 2015), through alterations in atmospheric circulations and
teleconnection patterns (Bjerknes, 1969; Enfield, 1989). The Niño 3.4
index (referred as ONI here) has been widely used to examine the impact of
ENSO on surface ozone over the United States (e.g., M. Y. Lin et al., 2015;
Xu et al., 2017). Xu et al. (2017) showed that over 1993–2013, the monthly
ozone decreases (increases) during El Niño (La Niña) years, with the
amplitude varying from 0.4 ppb (for the US average) up to 1.8 ppb (for the
southeastern US) per standard deviation of the Niño 3.4 index. The La
Niña years (strongly negative ONI) tend to be associated with a more
meandering jet over the central western US in favor of
stratosphere–troposphere exchange (STE) of ozone but not transport from Asia
(M. Y. Lin et al., 2015).</p>
      <p id="d1e1168">In order to indicate the climate variability that influence the whole US, we
combined the detrended and normalized AMO and ONI indices to obtain a third
index, named AMONI:
<inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mi mathvariant="normal">AMONI</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">AMO</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">detrended</mml:mi><mml:mi mathvariant="normal">normalized</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">ONI</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">detrended</mml:mi><mml:mi mathvariant="normal">normalized</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>.
The normalization could adjust the AMO and ONI values measured on different
scales to a common scale and keep the individual characteristics of the
original AMO and ONI indices. The negative sign for ONI in the formula
accounts for the negative correlation between detrended ozone and ONI
anomalies (see Sect. 4). Thus a positive AMO and a negative ONI, both of
which are closely related to higher ozone mixing ratios over the US,
contribute to a positive AMONI index.</p>
      <p id="d1e1202">A recent work by Shen and Mickley (2017) developed two metrics, MAM-<inline-formula><mml:math id="M79" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST and MAM-<inline-formula><mml:math id="M80" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SLP, to study June–July–August (JJA) MDA8 ozone
variability across much of the eastern US. They found that MAM-<inline-formula><mml:math id="M81" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST
is highly correlated to the summer ozone (<inline-formula><mml:math id="M82" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M83" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M84" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.7), the level
of correlation of which is comparable to our results for daytime and daily
mean ozone (see Sect. 4).</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Model simulations</title>
      <p id="d1e1254">We used the global chemical transport model GEOS-Chem (version 9-02,
<uri>http://wiki.seas.harvard.edu/geos-chem/index.php/Main_Page</uri>)
to simulate the US surface ozone changes over 2004–2012. GEOS-Chem has been
used extensively for ozone studies (e.g., Shen et al., 2015; Fu et al.,
2015; Yan et al., 2016; Zhang and Wang, 2016). Here, the model is run at a
horizontal resolution of 2.5<inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> long. <inline-formula><mml:math id="M86" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2<inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
lat. with 47 vertical layers (including 10 layers of <inline-formula><mml:math id="M88" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 130 m
thickness each below 850 hPa), as driven by the GEOS-5 assimilated
meteorological fields. The model is run with the standard
HO<inline-formula><mml:math id="M89" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>–NO<inline-formula><mml:math id="M90" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>–VOC–ozone–aerosol chemistry (Mao et al., 2013) with some
recent updates (Yan et al., 2014). The Linoz scheme is used for the
stratospheric ozone production (McLinden et al., 2000). Vertical mixing in
the planetary boundary layer employs a non-local scheme implemented by Lin
and McElroy (2010). Model convection adopts the relaxed Arakawa–Schubert
scheme (Rienecker et al., 2008).</p>
      <p id="d1e1311">A “control” simulation includes variations in meteorology and
anthropogenic emissions, and three sensitivity simulations keep meteorology
or anthropogenic emissions constant throughout the years. As the GEOS-5
meteorological fields are only available from December 2003 to March 2013,
all GEOS-Chem simulations are from December 2003 through December 2012, with
results analyzed for 2004–2012.</p>
<sec id="Ch1.S2.SS3.SSSx1" specific-use="unnumbered">
  <title>Emissions in the control simulation of GEOS-Chem</title>
      <p id="d1e1319">Global and regional anthropogenic emission inventories used here are
summarized in Yan et al. (2016). Global anthropogenic emissions for CO 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> from 2004 to 2008 are taken from the Emission Database for Global
Atmospheric Research (EDGAR) v4.2 inventory. Global anthropogenic emissions
of non-methane volatile organic compounds (NMVOC) use the REanalysis of the TROpospheric chemical composition (RETRO)
monthly global inventory for 2000 (Hu et al., 2015). Emissions over China,
Asia, the US, Mexico, Canada, and Europe are further replaced by the MEIC
(base year is 2008; <uri>http://www.meicmodel.org</uri>), INTEX-B (base year is 2006; Zhang et
al., 2009), NEI05 (base year is 2005,
<uri>ftp://aftp.fsl.noaa.gov/divisions/taq/</uri>), BRAVO (base year is 1999; Kuhns et
al., 2003), CAC (base year is 2005,
<uri>http://www.ec.gc.ca/pdb/cac/cac_home_e.cfm</uri>),
and EMEP (base year is 2005; Auvray and Bey, 2005) regional inventories,
respectively. Emission data include monthly or seasonal variability (Yan et
al., 2016).</p>
      <p id="d1e1340">Most anthropogenic emission inventories provide data for a base year. In
order to simulate the interannual variability of ozone, we scaled NO<inline-formula><mml:math id="M92" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
and CO emissions from the base year to other years between 2004 and 2012.
Over the US, China, and Canada, emissions of NO<inline-formula><mml:math id="M93" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> are scaled based on the
tropospheric 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> columns from OMI measurements (J.-T. Lin et al., 2015;
Vinken et al., 2014). For the US (for CO), Canada (for CO), and Europe (for
NO<inline-formula><mml:math id="M95" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and CO), emissions are scaled according to NEI
(<uri>http://www3.epa.gov/ttn/chief/trends/index.html</uri>), Environment Canada
National Pollutant Release Inventory Trends
(<uri>http://www.ec.gc.ca/inrp-npri/</uri>), and European Monitoring and
Evaluation Program (<uri>http://www.emep.int/</uri>). For regions not affected by
the above scaling processes, NO<inline-formula><mml:math id="M96" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and CO emissions are scaled according
to EDGAR (for 2004–2008) or to changes in total and liquid fuel CO<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>
emissions, respectively, following van Donkelaar et al. (2008) (for
2009–2012). CO<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> emissions are taken from the Carbon Dioxide Information
Analysis Center (<uri>http://cdiac.ornl.gov/</uri>).</p>
      <p id="d1e1419"><?xmltex \hack{\newpage}?>Monthly biomass burning emissions are taken from the Global Fire Emissions
Database version 3 (GFED3) (van der Werf et al., 2010). Other natural
emissions (lightning NO<inline-formula><mml:math id="M99" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, soil NO<inline-formula><mml:math id="M100" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, and biogenic NMVOC) are
parameterized based on model meteorology. Lightning NO<inline-formula><mml:math id="M101" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions are
parameterized based on cloud top heights (Price and Rind, 1992) and are
further constrained by the lightning flash counts detected from the
satellite instruments (Murray et al., 2012, 2013). Soil
NO<inline-formula><mml:math id="M102" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions follow Hudman et al. (2012). Biogenic emissions of NMVOC
follow the Model of Emissions of Gases and Aerosols from Nature (MEGAN v2.1)
with the Hybrid algorithm (Guenther, 2007; Guenther et al., 2012).</p>
      <p id="d1e1459">Figure 2 shows monthly anthropogenic and natural emissions of CO, NO<inline-formula><mml:math id="M103" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>,
and NMVOC over the United States from 2004 to 2012, as used in the
control simulation. Averaged over 2004–2012, the US emissions (from all
sources) are about 69.4 Tg yr<inline-formula><mml:math id="M104" 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> for CO, 6.6 Tg N yr<inline-formula><mml:math id="M105" 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> for NO<inline-formula><mml:math id="M106" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, and 34.0 Tg C yr<inline-formula><mml:math id="M107" 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> for NMVOC. Anthropogenic emissions are the dominant source for CO,
are comparable to natural sources for NO<inline-formula><mml:math id="M108" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, and are a minor source for
NMVOC. Anthropogenic emissions of NO<inline-formula><mml:math id="M109" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and CO decline rapidly at rates
of 0.25 Tg N yr<inline-formula><mml:math id="M110" 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> (4.1 % yr<inline-formula><mml:math id="M111" 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> relative to 2004) for NO<inline-formula><mml:math id="M112" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and 2.7 Tg yr<inline-formula><mml:math id="M113" 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>
(3.2 % yr<inline-formula><mml:math id="M114" 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>) for CO. Natural emissions vary from one year to another with no
obvious trends.</p>
      <p id="d1e1594">The control simulation accounts the interannual variations in climate and
anthropogenic emissions of NO<inline-formula><mml:math id="M115" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and CO. Between 2004 and 2012,
anthropogenic emissions of NO<inline-formula><mml:math id="M116" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and CO in the US decline by 33 and
26 %, respectively (Fig. 2a, b). As the US anthropogenic emissions of
NMVOC are smaller than natural emissions by a factor of about 7 (Fig. 2c),
their reduction from 2004 to 2012 (by <inline-formula><mml:math id="M117" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 9 %) is not included here.
A sensitivity simulation suggests that including changes in anthropogenic
NMVOC emissions result in ozone changes from 2004 to 2012 very close to the
control simulation (see Sect. 5.1).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p id="d1e1624">Monthly anthropogenic (fossil <inline-formula><mml:math id="M118" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> biofuel, black lines) and natural
(red lines) emissions of ozone precursors over the US used in GEOS-Chem.
Natural NO<inline-formula><mml:math id="M119" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions include biomass burning, lightning, and soil
(including fertilizer) sources. Natural CO emissions are from biomass burning
and oxidization of monoterpenes. Natural NMVOC emissions are from biomass
burning and biogenic sources.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/1185/2018/acp-18-1185-2018-f02.png"/>

          </fig>

</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Observed ozone trends at different times of day</title>
      <p id="d1e1657">The black line in Fig. 3 shows the 1990–2014 US average ozone trends at the
individual hours of the day (local standard time). At nighttime hours, the
US annual mean ozone grows relatively constantly at a statistically
significant rate of about 0.2 ppb yr<inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The growth rate declines in the
morning hours and increases during the late afternoon hours. The minimum
growth rate is located at around 14:00, when the ozone level peaks, and is
slightly negative (but insignificant) with a value of <inline-formula><mml:math id="M121" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.01<inline-formula><mml:math id="M122" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.16 ppb yr<inline-formula><mml:math id="M123" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The general characteristics of ozone trends are consistent with the
results of Jhun et al. (2015). The ozone trends for individual hours tend to
weaken the diurnal cycle of ozone – in particular, the diurnal range of
ozone (i.e., maximum – minimum) is reduced by 15 % from 26.4 ppb in
1990–1994 to 22.4 ppb in 2010–2014. The contrasting ozone trends between
the daytime and the nighttime are indicative of distinctive causes.
Hereafter we will focus on trends and (detrended) variability in the
daytime mean, nighttime mean, and daily mean ozone, unless stated otherwise.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p id="d1e1700">Trends in the observed surface ozone over the US, calculated based
on data in the selected 124 grid cells. The black line shows the 1990–2014
trend in the US annual mean ozone for each hour of the day (local standard
time), the red line depicts the observed trend over 2004–2012, and the
dashed lines indicate their deviations.</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/1185/2018/acp-18-1185-2018-f03.png"/>

      </fig>

      <p id="d1e1709">Table 2 shows the 1990–2014 trends for the US annual average daytime,
nighttime and daily mean ozone, and Fig. 4a shows their time series. The US
annual average daily mean ozone grows at a rate of 0.16 ppb yr<inline-formula><mml:math id="M124" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M125" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>
value &lt; 0.01 according to an <inline-formula><mml:math id="M126" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> test). The growth mainly reflects
enhanced nighttime mean ozone (at 0.21 ppb yr<inline-formula><mml:math id="M127" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math id="M128" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>
value &lt; 0.01). The daytime mean ozone grows at a much lower rate of
0.09 ppb yr<inline-formula><mml:math id="M129" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M130" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.05). The implied total growth
from 1990 to 2014 is about 4.1, 2.3, and 5.3 ppb for daily mean, daytime,
and nighttime ozone, respectively. Similar to the enhanced US annual average
ozone, increasing trends of <inline-formula><mml:math id="M131" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 ppb yr<inline-formula><mml:math id="M132" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in the annual mean
ozone are observed at mountainous sites (e.g., Tanimoto, 2009) and regional
background stations (e.g., Wang et al., 2009) in Asia. In contrast, European
annual mean ozone levels have on average been decreasing during the last
20 years (e.g., Sicard et al, 2013). Furthermore, annual mean surface ozone
at a background station in eastern China has declined (Xu et al., 2008).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><caption><p id="d1e1800">Observed trends for seasonal and annual ozone over the eastern
(25–50<inline-formula><mml:math id="M133" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 65–100<inline-formula><mml:math id="M134" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W) and western (25–50<inline-formula><mml:math id="M135" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
100–125<inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W) United States during various time periods.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.88}[.88]?><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">MAM</oasis:entry>  
         <oasis:entry colname="col3">JJA</oasis:entry>  
         <oasis:entry colname="col4">SON</oasis:entry>  
         <oasis:entry colname="col5">DJF</oasis:entry>  
         <oasis:entry colname="col6">Annual</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col6">Daily mean ozone trend (ppb yr<inline-formula><mml:math id="M142" 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>) </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1990–2014 US</oasis:entry>  
         <oasis:entry colname="col2">0.21<inline-formula><mml:math id="M143" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.02</oasis:entry>  
         <oasis:entry colname="col4">0.14<inline-formula><mml:math id="M144" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.13<inline-formula><mml:math id="M145" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.16<inline-formula><mml:math id="M146" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1990–2014 eastern US</oasis:entry>  
         <oasis:entry colname="col2">0.19<inline-formula><mml:math id="M147" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M148" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.03</oasis:entry>  
         <oasis:entry colname="col4">0.12<inline-formula><mml:math id="M149" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.12<inline-formula><mml:math id="M150" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.12<inline-formula><mml:math id="M151" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1990–2014 western US</oasis:entry>  
         <oasis:entry colname="col2">0.25<inline-formula><mml:math id="M152" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.12<inline-formula><mml:math id="M153" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.16<inline-formula><mml:math id="M154" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.16<inline-formula><mml:math id="M155" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.20<inline-formula><mml:math id="M156" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2004–2012 US</oasis:entry>  
         <oasis:entry colname="col2">0.34<inline-formula><mml:math id="M157" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.16<inline-formula><mml:math id="M158" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.29<inline-formula><mml:math id="M159" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.27<inline-formula><mml:math id="M160" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.30<inline-formula><mml:math id="M161" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2005–2011 US</oasis:entry>  
         <oasis:entry colname="col2">0.27<inline-formula><mml:math id="M162" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.09<inline-formula><mml:math id="M163" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.20<inline-formula><mml:math id="M164" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.21<inline-formula><mml:math id="M165" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.23<inline-formula><mml:math id="M166" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">2002–2014 US</oasis:entry>  
         <oasis:entry colname="col2">0.12<inline-formula><mml:math id="M167" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.04</oasis:entry>  
         <oasis:entry colname="col4">0.07<inline-formula><mml:math id="M168" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.06</oasis:entry>  
         <oasis:entry colname="col6">0.08<inline-formula><mml:math id="M169" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col6">Daytime mean ozone trend (ppb yr<inline-formula><mml:math id="M170" 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>) </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1990–2014 US</oasis:entry>  
         <oasis:entry colname="col2">0.17<inline-formula><mml:math id="M171" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M172" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.08<inline-formula><mml:math id="M173" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.09<inline-formula><mml:math id="M174" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.12<inline-formula><mml:math id="M175" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.09<inline-formula><mml:math id="M176" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1990–2014 eastern US</oasis:entry>  
         <oasis:entry colname="col2">0.15<inline-formula><mml:math id="M177" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M178" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.11<inline-formula><mml:math id="M179" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.07<inline-formula><mml:math id="M180" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.11<inline-formula><mml:math id="M181" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.06</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1990–2014 western US</oasis:entry>  
         <oasis:entry colname="col2">0.21<inline-formula><mml:math id="M182" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.03</oasis:entry>  
         <oasis:entry colname="col4">0.10<inline-formula><mml:math id="M183" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.15<inline-formula><mml:math id="M184" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.13<inline-formula><mml:math id="M185" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2004–2012 US</oasis:entry>  
         <oasis:entry colname="col2">0.26<inline-formula><mml:math id="M186" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M187" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.03</oasis:entry>  
         <oasis:entry colname="col4">0.20<inline-formula><mml:math id="M188" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.24<inline-formula><mml:math id="M189" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.19<inline-formula><mml:math id="M190" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2005–2011 US</oasis:entry>  
         <oasis:entry colname="col2">0.21<inline-formula><mml:math id="M191" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M192" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.04</oasis:entry>  
         <oasis:entry colname="col4">0.14<inline-formula><mml:math id="M193" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.16<inline-formula><mml:math id="M194" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.13<inline-formula><mml:math id="M195" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">2002–2014 US</oasis:entry>  
         <oasis:entry colname="col2">0.09<inline-formula><mml:math id="M196" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.03</oasis:entry>  
         <oasis:entry colname="col4">0.05</oasis:entry>  
         <oasis:entry colname="col5">0.06</oasis:entry>  
         <oasis:entry colname="col6">0.05</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col6">Nighttime mean ozone trend (ppb yr<inline-formula><mml:math id="M197" 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>) </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1990–2014 US</oasis:entry>  
         <oasis:entry colname="col2">0.26<inline-formula><mml:math id="M198" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.13<inline-formula><mml:math id="M199" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.19<inline-formula><mml:math id="M200" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.14<inline-formula><mml:math id="M201" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.21<inline-formula><mml:math id="M202" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1990–2014 eastern US</oasis:entry>  
         <oasis:entry colname="col2">0.24<inline-formula><mml:math id="M203" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.05</oasis:entry>  
         <oasis:entry colname="col4">0.16<inline-formula><mml:math id="M204" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.13<inline-formula><mml:math id="M205" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.18<inline-formula><mml:math id="M206" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1990–2014 western US</oasis:entry>  
         <oasis:entry colname="col2">0.30<inline-formula><mml:math id="M207" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.20<inline-formula><mml:math id="M208" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.23<inline-formula><mml:math id="M209" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.17<inline-formula><mml:math id="M210" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.25<inline-formula><mml:math id="M211" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2004–2012 US</oasis:entry>  
         <oasis:entry colname="col2">0.46<inline-formula><mml:math id="M212" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.35<inline-formula><mml:math id="M213" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.40<inline-formula><mml:math id="M214" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.30<inline-formula><mml:math id="M215" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.43<inline-formula><mml:math id="M216" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2005–2011 US</oasis:entry>  
         <oasis:entry colname="col2">0.35<inline-formula><mml:math id="M217" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.24<inline-formula><mml:math id="M218" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.28<inline-formula><mml:math id="M219" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.25<inline-formula><mml:math id="M220" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.31<inline-formula><mml:math id="M221" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2002–2014 US</oasis:entry>  
         <oasis:entry colname="col2">0.16<inline-formula><mml:math id="M222" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.06</oasis:entry>  
         <oasis:entry colname="col4">0.11<inline-formula><mml:math id="M223" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.07<inline-formula><mml:math id="M224" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.13<inline-formula><mml:math id="M225" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><table-wrap-foot><p id="d1e1839"><inline-formula><mml:math id="M137" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M138" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.01.
<inline-formula><mml:math id="M139" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M140" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.05 after an <inline-formula><mml:math id="M141" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> test.</p></table-wrap-foot></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p id="d1e3018">Long-term trends in the observed surface ozone and anthropogenic
precursor emissions over the US during 1990–2014. <bold>(a)</bold> The ozone
trend averaged over the 124 grid cells. <bold>(b)</bold> The US annual
anthropogenic (fossil <inline-formula><mml:math id="M226" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> biofuel) emissions of NO<inline-formula><mml:math id="M227" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (black line), CO
(red line), and NMVOC (purple line) from the National Emissions Inventory
(<uri>http://www.epa.gov/air-emissions-inventories/air-pollutant-emissions-trends-data</uri>).</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/1185/2018/acp-18-1185-2018-f04.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p id="d1e3054">Trends over 1990–2014 in annual and seasonal daily mean, daytime
mean, and nighttime mean ozone observations in the selected 124 grid cells.
Trends are statistically significant (<inline-formula><mml:math id="M228" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.05 after a
<inline-formula><mml:math id="M229" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> test) in grid cells overlaid with “<inline-formula><mml:math id="M230" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>”. The grid cells in grey have no
data.</p></caption>
        <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/1185/2018/acp-18-1185-2018-f05.png"/>

      </fig>

      <p id="d1e3084">Table 2 also differentiates the ozone trends for individual seasons over the
eastern and western United States (separated by 100<inline-formula><mml:math id="M231" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W). Overall,
the growth rates are higher over the west than over the east, and the
regional difference reaches about 0.15 ppb yr<inline-formula><mml:math id="M232" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in summer (June, July, and
August) for daytime, nighttime, and daily mean ozone. Seasonally, the most
significant growth occurs in spring, with growth rates at 0.17–0.26 ppb yr<inline-formula><mml:math id="M233" 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>
for the US average daytime, nighttime, and daily mean ozone. For the
nighttime ozone, the range of growth rates across the seasons is smaller
over the west (0.17–0.30 ppb yr<inline-formula><mml:math id="M234" 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>) than over the east (0.05–0.24 ppb yr<inline-formula><mml:math id="M235" 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>).
For the daytime ozone over the east, the increases in spring, fall, and
winter (0.07–0.15 ppb yr<inline-formula><mml:math id="M236" 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>) are contrasted by a reduction in summer (<inline-formula><mml:math id="M237" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.11 ppb yr<inline-formula><mml:math id="M238" 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>), resulting in a weakened trend for the annual mean
ozone (0.06 ppb yr<inline-formula><mml:math id="M239" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). The decreases in summertime ozone are associated with reductions in
the US anthropogenic emissions of precursor gases NO<inline-formula><mml:math id="M240" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, carbon monoxide
(CO), and NMVOC revealed from the
National Emissions Inventory (Fig. 4b), reflecting the success in
controlling peak-level ozone (Cooper et al., 2012; Lefohn et al., 2010; Simon
et al., 2015). Similarly, a substantial decrease in precursor concentrations
over the last decades in Europe, in line with the long-term emission
declines (Colette et al., 2011; Wilson et al., 2012), has resulted in a
reduction in ozone episodes (Guerreiro et al., 2014). In contrast, the warm
season afternoon ozone over eastern China has been growing at rates of 1–3 ppb yr<inline-formula><mml:math id="M241" 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> over the past 20 years (Sun et al., 2016, and references therein) as
a result of rapidly growing precursor emissions.</p>
      <p id="d1e3209">Figure 5 further shows the spatial distribution of ozone trends across the
124 grid cells for daily mean, nighttime mean, and daytime mean ozone in
individual seasons. The nighttime ozone has grown or remained constant in
most seasons and grid cells, although ozone reductions are also visible in
the summertime eastern US and at sparse places in other seasons. For the
daytime ozone, the summertime declines over the eastern United States and
southern California are contrasted by the summertime increases at other
places and the springtime increases over most regions. The springtime
daytime increases over the western US are consistent with the MDA8 ozone
growth rates (0.2–0.5 ppb yr<inline-formula><mml:math id="M242" 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>) reported by Lin et al. (2017). Averaged
across all seasons, the nighttime ozone has grown in most grid cells, while
the daytime ozone has grown over the west with mixed trends over the east
(Fig. 5b, c). The spatial distribution of the trends in the annual daily
mean ozone (Fig. 5a) closely resembles the trends in the nighttime ozone. The
local patterns in ozone trends reflect the effects of small-scale emission,
chemical, and/or meteorological features (Cooper et al., 2012; Jhun et al.,
2015; Simon et al., 2015; Strode et al., 2015).</p>
      <p id="d1e3225">Table 3 presents the trends at the 5th, 50th, and 95th percentiles for the
daytime mean, nighttime mean and daily mean ozone, separately for urban,
suburban, and rural sites. For each site, we calculated daily mean, daytime
mean, and nighttime mean ozone mixing ratios in each day and then computed
the 5th, 50th, and 95th ozone percentiles in each year. We then averaged the
annual data over each site type (rural, suburban, or urban) for a subsequent
trend analysis. Overall, the 50th percentile trends are positive for
daytime, nighttime, and daily mean ozone at all site types, consistent with
the trends in the US annual mean ozone (Table 2).</p>
      <p id="d1e3228">Table 3 shows that for the nighttime mean ozone, trends at the 5th, 50th, and
95th percentiles are relatively consistent: the 5th percentile ozone grows
by 0.19–0.21 ppb yr<inline-formula><mml:math id="M243" 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> across the three site types, the 50th percentile ozone
grows by 0.19–0.22 ppb yr<inline-formula><mml:math id="M244" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and the 95th percentile ozone increases at
0.22–0.27 ppb yr<inline-formula><mml:math id="M245" 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>.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3"><caption><p id="d1e3270">Observed trends for the 5th, 50th, and 95th percentiles of ozone over
the rural, suburban, and urban areas during 1990–2014.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <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:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Rural</oasis:entry>  
         <oasis:entry colname="col3">Suburban</oasis:entry>  
         <oasis:entry colname="col4">Urban</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col4">Daily mean ozone trend (ppb yr<inline-formula><mml:math id="M251" 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>) </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">5th</oasis:entry>  
         <oasis:entry colname="col2">0.25<inline-formula><mml:math id="M252" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.25<inline-formula><mml:math id="M253" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.24<inline-formula><mml:math id="M254" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">50th</oasis:entry>  
         <oasis:entry colname="col2">0.11<inline-formula><mml:math id="M255" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.15<inline-formula><mml:math id="M256" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.21<inline-formula><mml:math id="M257" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">95th</oasis:entry>  
         <oasis:entry colname="col2">0.06</oasis:entry>  
         <oasis:entry colname="col3">0.04</oasis:entry>  
         <oasis:entry colname="col4">0.08<inline-formula><mml:math id="M258" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col4">Daytime mean ozone trend (ppb yr<inline-formula><mml:math id="M259" 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>) </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">5th</oasis:entry>  
         <oasis:entry colname="col2">0.29<inline-formula><mml:math id="M260" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.29<inline-formula><mml:math id="M261" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.28<inline-formula><mml:math id="M262" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">50th</oasis:entry>  
         <oasis:entry colname="col2">0.02</oasis:entry>  
         <oasis:entry colname="col3">0.10<inline-formula><mml:math id="M263" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.19<inline-formula><mml:math id="M264" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">95th</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M265" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.13<inline-formula><mml:math id="M266" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M267" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.21<inline-formula><mml:math id="M268" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M269" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.15<inline-formula><mml:math id="M270" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col4" align="center">Nighttime mean ozone trend (ppb yr<inline-formula><mml:math id="M271" 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>) </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">5th</oasis:entry>  
         <oasis:entry colname="col2">0.21<inline-formula><mml:math id="M272" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.21<inline-formula><mml:math id="M273" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.19<inline-formula><mml:math id="M274" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">50th</oasis:entry>  
         <oasis:entry colname="col2">0.19<inline-formula><mml:math id="M275" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.20<inline-formula><mml:math id="M276" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.22<inline-formula><mml:math id="M277" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">95th</oasis:entry>  
         <oasis:entry colname="col2">0.22<inline-formula><mml:math id="M278" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.24<inline-formula><mml:math id="M279" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.27<inline-formula><mml:math id="M280" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e3273"><inline-formula><mml:math id="M246" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M247" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.01.
<inline-formula><mml:math id="M248" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M249" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.05 after an <inline-formula><mml:math id="M250" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> test.</p></table-wrap-foot></table-wrap>

      <p id="d1e3749">Table 3 further shows that for the daytime mean ozone, trends at the 5th and
95th percentiles differ greatly, and there are only small differences across
the rural, suburban and urban sites. The 5th percentile daytime mean ozone
grows rapidly by 0.28–0.29 ppb yr<inline-formula><mml:math id="M281" 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> across the three site types, while the
95th percentile ozone declines by 0.13–0.21 ppb yr<inline-formula><mml:math id="M282" 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>. At the rural sites, the
growth rate is about 0.29 ppb yr<inline-formula><mml:math id="M283" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M284" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.01) at the 5th
percentile and <inline-formula><mml:math id="M285" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.13 ppb yr<inline-formula><mml:math id="M286" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M287" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.01) at the 95th percentile.
For the 50th percentile daytime mean ozone, trends differ greatly between
rural, suburban, and urban sites: the growth rate varies from 0.02 ppb yr<inline-formula><mml:math id="M288" 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>
(statistically insignificant, <inline-formula><mml:math id="M289" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M290" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.95) for the rural sites to 0.19 ppb yr<inline-formula><mml:math id="M291" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M292" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.01) for the urban sites.</p>
      <p id="d1e3868">Overall, the distinctive trends at the three percentiles reflect a decrease
in the peak ozone contrasted by an increase in the low ozone (Table 3), a
decrease in summer compensated by an increase in other seasons (Table 2),
and stronger tendency of ozone growth over the west than over the east
(Table 2 and Fig. 5).</p>
      <p id="d1e3872">Our daytime results in Table 3 are consistent with Cooper et al. (2012), who
examined the afternoon ozone trends over 1990–2010 at 53 rural sites. Our
5th and 95th percentile daytime ozone trends at rural, suburban, and urban
sites are also broadly consistent with Simon et al. who analyzed the trends
over 1998–2013 in the MDA8 ozone (Simon et al., 2015). The summertime
decreases, largest at the 95th percentile, and wintertime increases in the
50th to 5th percentiles over the eastern US are also showed in the MDA8 ozone
results of Lin et al. (2017) for 70 rural sites. Note that these previous
studies (Cooper et al., 2012; Simon et al., 2015; Lin et al., 2017) were
focused on the high-ozone afternoon hours and excluded the low-ozone early
morning hours that have experienced notable ozone growth (black line in
Fig. 3).</p>
</sec>
<sec id="Ch1.S4">
  <title>Relationship between detrended ozone and climate variability</title>
      <p id="d1e3881">We relate the interannual variability of ozone to AMONI, AMO, and ONI. We
detrended the time series of ozone and climate indices with linear fit for a
subsequent statistical analysis; detrending the ozone time series removed the
effects of continuously rising Asian emissions and declining US emissions
(Zhang et al., 2008; Lin et al., 2008a; Huang et al., 2008; Cooper et al.,
2010; Simon et al., 2015; Jhun et al., 2015; Verstraeten et al., 2015; Lin et
al., 2017).</p>
      <p id="d1e3884">Figure 6a–c show the time series of detrended annual AMONI, AMO, and ONI
indices between 1990 and 2014, in comparison with the detrended ozone data.
The three indices are interannually consistent with the daytime and daily
mean ozone anomalies. The AMONI anomaly correlates strongly to the daytime
(<inline-formula><mml:math id="M293" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M294" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.71, <inline-formula><mml:math id="M295" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.01 by a one-sided <inline-formula><mml:math id="M296" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test) and daily mean (<inline-formula><mml:math id="M297" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M298" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.62, <inline-formula><mml:math id="M299" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.01) ozone anomalies, stronger than AMO and
ONI. The negative AMONI anomalies in the early 1990s, 2009, and 2014,
contributed by negative AMO and positive ONI (El Niño-like), correspond
to negative anomalies in the daytime and daily mean ozone. By comparison,
the positive AMONI anomalies around the late 1990s and early 2000s are
associated with positive ozone anomalies.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p id="d1e3939">Detrended anomaly time series of climate indices and observed US
mean ozone. The anomalies of annual mean daily mean ozone (black lines),
daytime mean ozone (green lines), and nighttime mean ozone (purple lines) are
plotted with the annual AMONI index <bold>(a)</bold>, with the annual AMO
index <bold>(b)</bold>, and with the annual ONI index <bold>(c)</bold>. Red and blue
bars indicate positive and negative anomalies of climate indices,
respectively. Also shown are correlations between ozone and individual
indices (<inline-formula><mml:math id="M300" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>∗</mml:mo><mml:mo>∗</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> for <inline-formula><mml:math id="M301" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.01 and <inline-formula><mml:math id="M302" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula>
for <inline-formula><mml:math id="M303" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.05 after a one-sided <inline-formula><mml:math id="M304" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test).</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/1185/2018/acp-18-1185-2018-f06.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p id="d1e4003">Correlation in interannual variability over 1990–2014 between the
annual AMONI index and the annual average daily mean ozone <bold>(a)</bold>,
daytime mean ozone <bold>(b)</bold>, and nighttime mean ozone <bold>(c)</bold>. All
data are detrended prior to correlation calculations. Correlations are
statistically significant (<inline-formula><mml:math id="M305" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.05 after a one-sided
<inline-formula><mml:math id="M306" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test) in grid cells overlaid with <inline-formula><mml:math id="M307" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>. The grid cells in grey have no
AQS data.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/1185/2018/acp-18-1185-2018-f07.png"/>

      </fig>

      <p id="d1e4043">Figure 7a and b further show the correlation between detrended AMONI and
detrended daily and daytime mean ozone in individual grid cells. The
AMONI–ozone correlation is positive and statistically significant over most
of the eastern US, and it reaches 0.82 over parts of the southeast. A
positive AMONI anomaly is associated with increased temperature over the east
(Fig. 8c), which enhances biogenic emissions, changes chemical reaction
rates, and changes atmospheric circulation, which overall lead to increased
ozone formation and buildup (Jacob and Winner, 2009; Shen et al., 2015; Fu et
al., 2015; Xu et al., 2017). AMONI also correlate positively to ozone over
the high-altitude west. This is because a negative ONI anomaly (La
Niña-like) means a decrease in lower-tropospheric transport of ozone-poor
air from the Eastern Pacific (Xu et al., 2017) and a more meandering
subtropical jet and strengthened ozone transport from the stratosphere that
compensates for weakened transport from Asia (M. Y. Lin et al., 2015). AMONI
correlates negatively to ozone over southern California, likely reflecting
reduced temperature there associated with a positive AMONI (negative ONI)
anomaly (Fig. 8b, c).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p id="d1e4048">Correlation for interannual variability over 1990–2010 between the
annual AMO <bold>(a)</bold>, ONI <bold>(b)</bold>, and AMONI <bold>(c)</bold> anomalies
and the annual average daily mean 2 m air temperature from MERRA.
Correlations are statistically significant (<inline-formula><mml:math id="M308" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.05 after
a one-sided <inline-formula><mml:math id="M309" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test) in grid cells overlaid with <inline-formula><mml:math id="M310" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>. MERRA temperature
data are available through 2010 and are sampled based on valid daily mean
ozone data. MERRA data are used here (in place of GEOS-5) to include years
prior to 2004. All data are detrended prior to correlation calculations. The
grid cells in grey have no AQS data.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/1185/2018/acp-18-1185-2018-f08.png"/>

      </fig>

      <p id="d1e4088">Figure 6a–c show that the detrended annual nighttime ozone anomaly
corresponds weakly to the three climate indices, with statistically
insignificant correlations at 0.15–0.34 (<inline-formula><mml:math id="M311" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M312" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.39–0.78).
Figure 7 also shows that AMONI is statistically significantly correlated to
the detrended nighttime ozone only in a few grid cells. We also found
statistically insignificant detrended correlations between the nighttime
ozone and other climate indices such as the Pacific Decadal Oscillation
(<inline-formula><mml:math id="M313" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M314" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.06), the Arctic Oscillation (<inline-formula><mml:math id="M315" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M316" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M317" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.05), and the North
Atlantic Oscillation (<inline-formula><mml:math id="M318" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M319" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M320" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.29). A possible reason for weaker
correlations between climate indices and the nighttime ozone anomaly
(compared to the daytime and daily anomalies) is the distinct chemistry at
night (i.e., titration by nitrogen) compared to the daytime photochemistry.
As the vertical mixing weakens at night, the chemical process becomes more
localized and may be less sensitive to large-scale climate variability.</p>
      <p id="d1e4162">Table 4 further shows the seasonal and regional differences in the
correlation between detrended AMONI and detrended ozone. Over the eastern
US, the correlations for daytime ozone reach 0.72 in summer and 0.74 in
fall. The correlations for nighttime ozone are also relatively large
(0.55–0.60) due to influences by “residual” ozone transitioned from the
daytime (see Sect. 5.2 for diurnal cycle of model–observation correlations).
The correlations are very weak (0.06–0.18) in winter and spring for both
daytime and nighttime ozone. Over the western US, the correlations do not
exceed 0.50 in all seasons for daytime, nighttime, and daily mean ozone,
smaller than those over the eastern US. This is likely due to compensating
effects on different transport and chemical processes. For example, a
positive AMONI are associated with enhanced ozone production (due to
enhanced temperature and reduced precipitation in the context of a positive
AMO), weakened trans-pacific ozone transport from Asia (due to a negative
ONI with a La Niña pattern), and strengthened STE. Nonetheless, the
correlations for the western US are higher in winter and spring (0.37–0.50)
than in summer and fall (0.19–0.27). Overall, Table 4 and Fig. 7 suggest
that the AMONI-associated large-scale climate variability (AMO and ENSO)
affects the warm season eastern US ozone (likely via chemical processes) and
cold season western US ozone (likely via dynamic transport processes).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4"><caption><p id="d1e4169">Correlations (<inline-formula><mml:math id="M321" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>) between detrended time series of AMONI index and
detrended daily mean ozone, daytime mean ozone, and nighttime mean ozone in
different seasons and regions.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.89}[.89]?><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">MAM</oasis:entry>  
         <oasis:entry colname="col4">JJA</oasis:entry>  
         <oasis:entry colname="col5">SON</oasis:entry>  
         <oasis:entry colname="col6">DJF</oasis:entry>  
         <oasis:entry colname="col7">Annual</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">US</oasis:entry>  
         <oasis:entry colname="col2">Daily</oasis:entry>  
         <oasis:entry colname="col3">0.25</oasis:entry>  
         <oasis:entry colname="col4">0.58<inline-formula><mml:math id="M327" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.67<inline-formula><mml:math id="M328" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.22</oasis:entry>  
         <oasis:entry colname="col7">0.62<inline-formula><mml:math id="M329" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Daytime</oasis:entry>  
         <oasis:entry colname="col3">0.19</oasis:entry>  
         <oasis:entry colname="col4">0.67<inline-formula><mml:math id="M330" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.70<inline-formula><mml:math id="M331" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.23</oasis:entry>  
         <oasis:entry colname="col7">0.71<inline-formula><mml:math id="M332" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Nighttime</oasis:entry>  
         <oasis:entry colname="col3">0.29</oasis:entry>  
         <oasis:entry colname="col4">0.51<inline-formula><mml:math id="M333" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.59<inline-formula><mml:math id="M334" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.21</oasis:entry>  
         <oasis:entry colname="col7">0.33</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Eastern US</oasis:entry>  
         <oasis:entry colname="col2">Daily</oasis:entry>  
         <oasis:entry colname="col3">0.11</oasis:entry>  
         <oasis:entry colname="col4">0.66<inline-formula><mml:math id="M335" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.68<inline-formula><mml:math id="M336" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.06</oasis:entry>  
         <oasis:entry colname="col7">0.68<inline-formula><mml:math id="M337" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Daytime</oasis:entry>  
         <oasis:entry colname="col3">0.11</oasis:entry>  
         <oasis:entry colname="col4">0.72<inline-formula><mml:math id="M338" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.74<inline-formula><mml:math id="M339" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.18</oasis:entry>  
         <oasis:entry colname="col7">0.73<inline-formula><mml:math id="M340" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Nighttime</oasis:entry>  
         <oasis:entry colname="col3">0.07</oasis:entry>  
         <oasis:entry colname="col4">0.55<inline-formula><mml:math id="M341" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.60<inline-formula><mml:math id="M342" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.09</oasis:entry>  
         <oasis:entry colname="col7">0.38</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Western US</oasis:entry>  
         <oasis:entry colname="col2">Daily</oasis:entry>  
         <oasis:entry colname="col3">0.48<inline-formula><mml:math id="M343" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.27</oasis:entry>  
         <oasis:entry colname="col5">0.22</oasis:entry>  
         <oasis:entry colname="col6">0.44<inline-formula><mml:math id="M344" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">0.45<inline-formula><mml:math id="M345" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Daytime</oasis:entry>  
         <oasis:entry colname="col3">0.38</oasis:entry>  
         <oasis:entry colname="col4">0.25</oasis:entry>  
         <oasis:entry colname="col5">0.19</oasis:entry>  
         <oasis:entry colname="col6">0.37</oasis:entry>  
         <oasis:entry colname="col7">0.34</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Nighttime</oasis:entry>  
         <oasis:entry colname="col3">0.50<inline-formula><mml:math id="M346" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.27</oasis:entry>  
         <oasis:entry colname="col5">0.24</oasis:entry>  
         <oasis:entry colname="col6">0.46<inline-formula><mml:math id="M347" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">0.46<inline-formula><mml:math id="M348" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><table-wrap-foot><p id="d1e4179"><inline-formula><mml:math id="M322" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M323" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.01.
<inline-formula><mml:math id="M324" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M325" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.05 after a one-sided <inline-formula><mml:math id="M326" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S5">
  <title>Effects of emissions and climate variability on ozone revealed by
GEOS-Chem simulations</title>
      <p id="d1e4672">We further used GEOS-Chem simulations to investigate the distinctive effects
of interannual climate variability and anthropogenic emissions on the US
daytime and nighttime ozone.</p>
      <p id="d1e4675">We investigated the simulated US ozone changes and driving factors from 2004
through 2012, in which years assimilated meteorological data are available
to drive model simulations. Figure 9 shows that the measured annual ozone
trends over 2004–2012 (Fig. 9d–f) are stronger than, but spatially
consistent with, the trends over 1990–2014. For the US annual mean, the
growth rates over 2004–2012 are 0.43 ppb yr<inline-formula><mml:math id="M349" 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> for the nighttime ozone and
0.14 ppb yr<inline-formula><mml:math id="M350" 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> for the daytime ozone, about twice the growth rates over
1990–2014. The diurnal cycle of US annual ozone trends over 2004–2012 is
similar to the cycle for the 1990–2014 trends (red solid versus black solid
line in Fig. 3), although with a stronger diurnal range (maximum –
minimum).</p>
      <p id="d1e4702">We note here that the stronger trend in annual ozone over 2004–2012 is
partly due to the choice of beginning and end years (Bacer et al., 2016). For
example, the growth rates over 2005–2011 are 0.31 ppb yr<inline-formula><mml:math id="M351" 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> for the
nighttime mean, 0.13 ppb yr<inline-formula><mml:math id="M352" 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> for the daytime mean, and
0.23 ppb yr<inline-formula><mml:math id="M353" 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> for the daily mean ozone (Table 2), consistent but
smaller than the trends over 2004–2012. As an extreme case, the growth rates
between 2002 (with a local ozone maximum) and 2014 (with a local minimum) are
only 0.13 ppb yr<inline-formula><mml:math id="M354" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M355" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.05) for nighttime ozone,
0.05 ppb yr<inline-formula><mml:math id="M356" 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> for daytime ozone, and 0.08 ppb yr<inline-formula><mml:math id="M357" 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> for daily
mean ozone. For seasonal ozone, the trend differences between 2004–2012 and
1990–2014 are generally similar to the differences for annual ozone
(Table 2). A possible reason for the stronger ozone trend in the recent
decade is that anthropogenic emissions of NO<inline-formula><mml:math id="M358" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> decline much more rapidly
(Fig. 4b) over 2004–2012 (at a rate of 4.1 % yr<inline-formula><mml:math id="M359" 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> relative to
2004) than over 1990–2014 (2.1 % yr<inline-formula><mml:math id="M360" 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> relative to 1990). Also, a
heat wave swept much of the US in 2012, partly contributing to the high value
in that year.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><caption><p id="d1e4820">Trends in AQS annual ozone over different time periods.
<bold>(a–c)</bold> Trends (ppb yr<inline-formula><mml:math id="M361" 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>) over 1990–2014 in daily mean
ozone <bold>(a)</bold>, daytime mean ozone <bold>(b)</bold>, and nighttime mean
ozone <bold>(c)</bold>. <bold>(d–f)</bold> Similar to panels <bold>(a–c)</bold> but for
trends over 2004–2012. Panels <bold>(a–c)</bold> are the same as Fig. 5a–c.
The grid cells in grey have no data.</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/1185/2018/acp-18-1185-2018-f09.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><caption><p id="d1e4866">Observed and modeled 2004–2012 average daily, daytime, and nighttime
mean ozone (ppb) over the US, as well as model biases (ppb) against and
interannual correlation to the observations. Grid cells with statistically
significant correlation coefficients are highlighted by <inline-formula><mml:math id="M362" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>. The grid
cells in grey have no AQS data.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/1185/2018/acp-18-1185-2018-f10.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><caption><p id="d1e4884">Trends in the modeled surface ozone over the US at different times
of day. The yellow lines depict the trends in three model simulations
(control, fixed meteorology, and fixed global anthropogenic emissions). The
two shaded areas indicate the individual contributions of interannual climate
variability (light grey shade) and global anthropogenic emissions (dark grey
shade) to the simulated 2004–2012 ozone changes.</p></caption>
        <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/1185/2018/acp-18-1185-2018-f11.png"/>

      </fig>

<sec id="Ch1.S5.SS1">
  <title>Evaluation of modeled ozone in the control simulation</title>
      <p id="d1e4898">Figure 10 compare the spatial distributions of modeled (the control
simulation) and observed 2004–2012 average daily, daytime, and nighttime
mean ozone over the US. The control simulation overestimates the observed
ozone, especially over the eastern US, a common problem in chemical transport
models (Fiore et al., 2009; Lin et al., 2008b; Stevenson et al., 2006; Yan et
al., 2016; Young et al., 2013). Model biases are about 8.8, 6.3, and
10.4 ppb for the daily, daytime, and nighttime mean ozone, respectively,
averaged over the US.</p>
      <p id="d1e4901">The solid yellow line in Fig. 11 shows that the control simulation
captures the diurnal variation of the observed ozone trends (red line),
although with a slight systematic underestimate. The model produces
significant growth in the nighttime mean ozone (0.31 ppb yr<inline-formula><mml:math id="M363" 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>), modest growth
in the daily mean ozone (0.22 ppb yr<inline-formula><mml:math id="M364" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), and statistically insignificant
growth in the daytime ozone (0.14 ppb yr<inline-formula><mml:math id="M365" 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>), weaker than but consistent with
the observed trends (0.19–0.43 ppb yr<inline-formula><mml:math id="M366" 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>). Table 5 further shows that the
control simulation reproduces the observed interannual and seasonal
variability of ozone. The model–observation correlations (0.82–0.91,
<inline-formula><mml:math id="M367" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.01) are statistically significant for the US
annual/seasonal average daily, daytime, and nighttime mean ozone, regardless
of
whether the ozone data are detrended. The last column of Fig. 10 also shows
that the control simulation captures the observed interannual
variability of annual ozone in most model grid cells, with statistically
significant correlation coefficients.</p>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T5" specific-use="star"><caption><p id="d1e4962">Interannual variability of observed and modeled ozone during
2004–2012 and their correlation.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Observation</oasis:entry>  
         <oasis:entry rowsep="1" namest="col3" nameend="col6" align="center">Model </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">Control</oasis:entry>  
         <oasis:entry colname="col4">Fixed global</oasis:entry>  
         <oasis:entry colname="col5">Fixed US</oasis:entry>  
         <oasis:entry colname="col6">Fixed</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">anthropogenic</oasis:entry>  
         <oasis:entry colname="col5">anthropogenic</oasis:entry>  
         <oasis:entry colname="col6">meteorology</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">emissions</oasis:entry>  
         <oasis:entry colname="col5">emissions</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col6">Annual daily mean ozone </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Trend (ppb yr<inline-formula><mml:math id="M368" 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>)</oasis:entry>  
         <oasis:entry colname="col2">0.30<inline-formula><mml:math id="M369" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.22<inline-formula><mml:math id="M370" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.06</oasis:entry>  
         <oasis:entry colname="col5">0.07</oasis:entry>  
         <oasis:entry colname="col6">0.18<inline-formula><mml:math id="M371" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Correlation</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.86<inline-formula><mml:math id="M372" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.64<inline-formula><mml:math id="M373" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.65<inline-formula><mml:math id="M374" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.52<inline-formula><mml:math id="M375" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Detrended correlation<inline-formula><mml:math id="M376" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.89<inline-formula><mml:math id="M377" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.61<inline-formula><mml:math id="M378" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.63<inline-formula><mml:math id="M379" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.31</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col6">Annual daytime mean ozone </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Trend (ppb yr<inline-formula><mml:math id="M380" 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>)</oasis:entry>  
         <oasis:entry colname="col2">0.19<inline-formula><mml:math id="M381" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.14</oasis:entry>  
         <oasis:entry colname="col4">0.05</oasis:entry>  
         <oasis:entry colname="col5">0.06</oasis:entry>  
         <oasis:entry colname="col6">0.10</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Correlation</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.88<inline-formula><mml:math id="M382" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.76<inline-formula><mml:math id="M383" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.78<inline-formula><mml:math id="M384" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.41<inline-formula><mml:math id="M385" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Detrended correlation<inline-formula><mml:math id="M386" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.90<inline-formula><mml:math id="M387" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.81<inline-formula><mml:math id="M388" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.82<inline-formula><mml:math id="M389" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.39</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col6">Annual nighttime mean ozone </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Trend (ppb yr<inline-formula><mml:math id="M390" 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>)</oasis:entry>  
         <oasis:entry colname="col2">0.43<inline-formula><mml:math id="M391" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.31<inline-formula><mml:math id="M392" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.07</oasis:entry>  
         <oasis:entry colname="col5">0.09</oasis:entry>  
         <oasis:entry colname="col6">0.26<inline-formula><mml:math id="M393" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Correlation</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.86<inline-formula><mml:math id="M394" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.39</oasis:entry>  
         <oasis:entry colname="col5">0.37</oasis:entry>  
         <oasis:entry colname="col6">0.71<inline-formula><mml:math id="M395" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"> Detrended correlation<inline-formula><mml:math id="M396" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.88<inline-formula><mml:math id="M397" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.24</oasis:entry>  
         <oasis:entry colname="col5">0.28</oasis:entry>  
         <oasis:entry colname="col6">0.31</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col6">Spring daily mean ozone </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Trend (ppb yr<inline-formula><mml:math id="M398" 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>)</oasis:entry>  
         <oasis:entry colname="col2">0.34<inline-formula><mml:math id="M399" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.25<inline-formula><mml:math id="M400" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.07</oasis:entry>  
         <oasis:entry colname="col5">0.12</oasis:entry>  
         <oasis:entry colname="col6">0.15<inline-formula><mml:math id="M401" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Correlation</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.84<inline-formula><mml:math id="M402" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.62<inline-formula><mml:math id="M403" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.67<inline-formula><mml:math id="M404" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.61<inline-formula><mml:math id="M405" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Detrended correlation<inline-formula><mml:math id="M406" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.87<inline-formula><mml:math id="M407" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.65<inline-formula><mml:math id="M408" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.69<inline-formula><mml:math id="M409" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.42</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col6">Spring daytime mean ozone </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Trend (ppb yr<inline-formula><mml:math id="M410" 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>)</oasis:entry>  
         <oasis:entry colname="col2">0.26<inline-formula><mml:math id="M411" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.19<inline-formula><mml:math id="M412" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.06</oasis:entry>  
         <oasis:entry colname="col5">0.11</oasis:entry>  
         <oasis:entry colname="col6">0.09</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Correlation</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.89<inline-formula><mml:math id="M413" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.73<inline-formula><mml:math id="M414" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.76<inline-formula><mml:math id="M415" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.52<inline-formula><mml:math id="M416" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Detrended correlation<inline-formula><mml:math id="M417" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.90<inline-formula><mml:math id="M418" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.78<inline-formula><mml:math id="M419" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.77<inline-formula><mml:math id="M420" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.38</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col6">Spring nighttime mean ozone </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Trend (ppb yr<inline-formula><mml:math id="M421" 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>)</oasis:entry>  
         <oasis:entry colname="col2">0.46<inline-formula><mml:math id="M422" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.32<inline-formula><mml:math id="M423" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.07</oasis:entry>  
         <oasis:entry colname="col5">0.14</oasis:entry>  
         <oasis:entry colname="col6">0.20<inline-formula><mml:math id="M424" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Correlation</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.83<inline-formula><mml:math id="M425" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.41<inline-formula><mml:math id="M426" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.49<inline-formula><mml:math id="M427" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.69<inline-formula><mml:math id="M428" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"> Detrended correlation<inline-formula><mml:math id="M429" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.85<inline-formula><mml:math id="M430" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.33</oasis:entry>  
         <oasis:entry colname="col5">0.36</oasis:entry>  
         <oasis:entry colname="col6">0.34</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col6">Summer daily mean ozone </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Trend (ppb yr<inline-formula><mml:math id="M431" 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>)</oasis:entry>  
         <oasis:entry colname="col2">0.16<inline-formula><mml:math id="M432" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.09</oasis:entry>  
         <oasis:entry colname="col4">0.04</oasis:entry>  
         <oasis:entry colname="col5">0.03</oasis:entry>  
         <oasis:entry colname="col6">0.06</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Correlation</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.88<inline-formula><mml:math id="M433" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.72<inline-formula><mml:math id="M434" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.77<inline-formula><mml:math id="M435" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.50<inline-formula><mml:math id="M436" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Detrended correlation<inline-formula><mml:math id="M437" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.89<inline-formula><mml:math id="M438" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.79<inline-formula><mml:math id="M439" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.79<inline-formula><mml:math id="M440" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.28</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col6">Summer daytime mean ozone </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Trend (ppb yr<inline-formula><mml:math id="M441" 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>)</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M442" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.03</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M443" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.05</oasis:entry>  
         <oasis:entry colname="col4">0.03</oasis:entry>  
         <oasis:entry colname="col5">0.02</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M444" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.07</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Correlation</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.89<inline-formula><mml:math id="M445" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.77<inline-formula><mml:math id="M446" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.77<inline-formula><mml:math id="M447" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.48<inline-formula><mml:math id="M448" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Detrended correlation<inline-formula><mml:math id="M449" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.91<inline-formula><mml:math id="M450" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.83<inline-formula><mml:math id="M451" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.81<inline-formula><mml:math id="M452" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.35</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col6">Summer nighttime mean ozone </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Trend (ppb yr<inline-formula><mml:math id="M453" 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>)</oasis:entry>  
         <oasis:entry colname="col2">0.35<inline-formula><mml:math id="M454" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.24<inline-formula><mml:math id="M455" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.05</oasis:entry>  
         <oasis:entry colname="col5">0.05</oasis:entry>  
         <oasis:entry colname="col6">0.18<inline-formula><mml:math id="M456" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Correlation</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.86<inline-formula><mml:math id="M457" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.48<inline-formula><mml:math id="M458" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.46<inline-formula><mml:math id="M459" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.58<inline-formula><mml:math id="M460" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"> Detrended correlation<inline-formula><mml:math id="M461" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.88<inline-formula><mml:math id="M462" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.44<inline-formula><mml:math id="M463" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.48<inline-formula><mml:math id="M464" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.40</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col6">Fall daily mean ozone </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Trend (ppb yr<inline-formula><mml:math id="M465" 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>)</oasis:entry>  
         <oasis:entry colname="col2">0.29<inline-formula><mml:math id="M466" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.22<inline-formula><mml:math id="M467" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.06</oasis:entry>  
         <oasis:entry colname="col5">0.06</oasis:entry>  
         <oasis:entry colname="col6">0.19<inline-formula><mml:math id="M468" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Correlation</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.85<inline-formula><mml:math id="M469" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.67<inline-formula><mml:math id="M470" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.66<inline-formula><mml:math id="M471" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.56<inline-formula><mml:math id="M472" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Detrended correlation<inline-formula><mml:math id="M473" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.87<inline-formula><mml:math id="M474" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.65<inline-formula><mml:math id="M475" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.67<inline-formula><mml:math id="M476" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.32</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col6">Fall daytime mean ozone </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Trend (ppb yr<inline-formula><mml:math id="M477" 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>)</oasis:entry>  
         <oasis:entry colname="col2">0.20<inline-formula><mml:math id="M478" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.13</oasis:entry>  
         <oasis:entry colname="col4">0.05</oasis:entry>  
         <oasis:entry colname="col5">0.06</oasis:entry>  
         <oasis:entry colname="col6">0.11</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Correlation</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.86<inline-formula><mml:math id="M479" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.69<inline-formula><mml:math id="M480" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.68<inline-formula><mml:math id="M481" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.49<inline-formula><mml:math id="M482" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Detrended correlation<inline-formula><mml:math id="M483" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.87<inline-formula><mml:math id="M484" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.72<inline-formula><mml:math id="M485" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.71<inline-formula><mml:math id="M486" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.34</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col6">Fall nighttime mean ozone </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Trend (ppb yr<inline-formula><mml:math id="M487" 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>)</oasis:entry>  
         <oasis:entry colname="col2">0.40<inline-formula><mml:math id="M488" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.29<inline-formula><mml:math id="M489" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.07</oasis:entry>  
         <oasis:entry colname="col5">0.07</oasis:entry>  
         <oasis:entry colname="col6">0.26<inline-formula><mml:math id="M490" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Correlation</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.84<inline-formula><mml:math id="M491" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.36</oasis:entry>  
         <oasis:entry colname="col5">0.37</oasis:entry>  
         <oasis:entry colname="col6">0.67<inline-formula><mml:math id="M492" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Detrended correlation<inline-formula><mml:math id="M493" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.87<inline-formula><mml:math id="M494" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.29</oasis:entry>  
         <oasis:entry colname="col5">0.33</oasis:entry>  
         <oasis:entry colname="col6">0.36</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \hack{\addtocounter{table}{-1}}?><?xmltex \floatpos{t}?><table-wrap id="Ch1.T6" specific-use="star"><caption><p id="d1e6968">Continued.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Observation</oasis:entry>  
         <oasis:entry rowsep="1" namest="col3" nameend="col6" align="center">Model </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">Control</oasis:entry>  
         <oasis:entry colname="col4">Fixed global</oasis:entry>  
         <oasis:entry colname="col5">Fixed US</oasis:entry>  
         <oasis:entry colname="col6">Fixed</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">anthropogenic</oasis:entry>  
         <oasis:entry colname="col5">anthropogenic</oasis:entry>  
         <oasis:entry colname="col6">meteorology</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">emissions</oasis:entry>  
         <oasis:entry colname="col5">emissions</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col6">Winter daily mean ozone </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Trend (ppb yr<inline-formula><mml:math id="M502" 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>)</oasis:entry>  
         <oasis:entry colname="col2">0.27<inline-formula><mml:math id="M503" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.21<inline-formula><mml:math id="M504" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.05</oasis:entry>  
         <oasis:entry colname="col5">0.07</oasis:entry>  
         <oasis:entry colname="col6">0.19<inline-formula><mml:math id="M505" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Correlation</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.83<inline-formula><mml:math id="M506" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.61<inline-formula><mml:math id="M507" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.63<inline-formula><mml:math id="M508" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.61<inline-formula><mml:math id="M509" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Detrended correlation<inline-formula><mml:math id="M510" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.84<inline-formula><mml:math id="M511" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.63<inline-formula><mml:math id="M512" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.64<inline-formula><mml:math id="M513" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.33</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col6">Winter daytime mean ozone </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Trend (ppb yr<inline-formula><mml:math id="M514" 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>)</oasis:entry>  
         <oasis:entry colname="col2">0.24<inline-formula><mml:math id="M515" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.17<inline-formula><mml:math id="M516" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.04</oasis:entry>  
         <oasis:entry colname="col5">0.05</oasis:entry>  
         <oasis:entry colname="col6">0.12</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Correlation</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.85<inline-formula><mml:math id="M517" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.68<inline-formula><mml:math id="M518" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.67<inline-formula><mml:math id="M519" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.54<inline-formula><mml:math id="M520" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Detrended correlation<inline-formula><mml:math id="M521" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.86<inline-formula><mml:math id="M522" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.72<inline-formula><mml:math id="M523" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.73<inline-formula><mml:math id="M524" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.32</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col6">Winter nighttime mean ozone </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Trend (ppb yr<inline-formula><mml:math id="M525" 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>)</oasis:entry>  
         <oasis:entry colname="col2">0.30<inline-formula><mml:math id="M526" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.24<inline-formula><mml:math id="M527" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.05</oasis:entry>  
         <oasis:entry colname="col5">0.08</oasis:entry>  
         <oasis:entry colname="col6">0.25<inline-formula><mml:math id="M528" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Correlation</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.82<inline-formula><mml:math id="M529" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.31</oasis:entry>  
         <oasis:entry colname="col5">0.35</oasis:entry>  
         <oasis:entry colname="col6">0.72<inline-formula><mml:math id="M530" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Detrended correlation<inline-formula><mml:math id="M531" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">0.84<inline-formula><mml:math id="M532" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.23</oasis:entry>  
         <oasis:entry colname="col5">0.26</oasis:entry>  
         <oasis:entry colname="col6">0.29</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e6971"><inline-formula><mml:math id="M495" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M496" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.01.
<inline-formula><mml:math id="M497" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M498" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.05 after an <inline-formula><mml:math id="M499" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> test for
trends and a one-sided <inline-formula><mml:math id="M500" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test for correlation.<?xmltex \hack{\\}?><inline-formula><mml:math id="M501" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> Model and observation data are detrended prior to correlation
calculations.</p></table-wrap-foot></table-wrap>

      <p id="d1e7594">A sensitivity simulation was conducted to test the effect of anthropogenic
NMVOC emission changes not included in the control simulation. In the
sensitivity simulation, we scaled the NMVOC emissions to the years of 2004
and 2012 based on the EDGARv4.3.2 database which provides the emission time
series (1970–2012). Emissions of NMVOC were scaled according to emissions
over five regions (China, rest of Asia, the US, Europe, and the rest of world).
Other emissions are the same with the control simulation.</p>
      <p id="d1e7597">In this sensitivity simulation, the modeled change in annual mean ozone from
2004 to 2012 is 1.7 ppb (equivalent to 0.21 ppb yr<inline-formula><mml:math id="M533" 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>) averaged over the US,
with local ozone changes ranging from <inline-formula><mml:math id="M534" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.9 to 8.1 ppb across the selected
124 grid cells. This magnitude of ozone change is consistent with the
control simulation results with the modeled ozone trend at 0.22 ppb yr<inline-formula><mml:math id="M535" 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>
during 2004–2012 (Table 5). For the urban sites, the mean ozone change in
the sensitivity simulation (2.1 ppb, or 0.26 ppb yr<inline-formula><mml:math id="M536" 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>) is also close to the
control simulation (0.28 ppb yr<inline-formula><mml:math id="M537" 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>). These results suggest that changes in
anthropogenic NMVOC emissions have not led to a systemic ozone trend across
the US on top of the effect of NO<inline-formula><mml:math id="M538" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emission changes, consistent with the
results in Simon et al. (2015).</p>
</sec>
<sec id="Ch1.S5.SS2">
  <title>Effects of anthropogenic emissions versus climate variability revealed
by perturbation simulations</title>
      <p id="d1e7671">The second simulation (named “fixed emis.” in Fig. 11) tests the sole
sensitivity of ozone to interannual climate variability, by fixing global
anthropogenic emissions at the 2004 levels. As such, both the decline in US
emissions and the growth in Asian emissions are excluded. Table 5 shows that
with fixed emissions, the modeled annual daytime and daily mean ozone are
still highly correlated to the observed counterparts (<inline-formula><mml:math id="M539" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M540" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.61–0.83,
<inline-formula><mml:math id="M541" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.01). By comparison, the model–observation correlation
becomes statistically insignificant for the annual nighttime ozone. The
modeled US annual ozone trends are not statistically significant (0.05–0.07 ppb yr<inline-formula><mml:math id="M542" 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>) for daily mean, daytime, and nighttime ozone.
The short dashed yellow
line in Fig. 11 also shows statistically insignificant ozone trends at
individual hours when anthropogenic emissions are fixed.</p>
      <p id="d1e7707">For the second simulation, results for seasonal ozone are in line with those
for annual ozone (Table 5). Among the seasons, the model nighttime ozone is
best correlated with the observations in summer, whereas the correlation
coefficients (0.44–0.48) are still much lower than those for daytime
(0.77–0.83) and daily mean (0.72–0.79) ozone. The summertime daytime ozone
growth rate increases from <inline-formula><mml:math id="M543" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.05 ppb yr<inline-formula><mml:math id="M544" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in the control case to 0.03 ppb yr<inline-formula><mml:math id="M545" 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>, with a sign of change opposite to other seasons. This reflects the
importance of controlling anthropogenic emissions to reducing summertime
daytime ozone (Bloomer et al., 2009; Cooper et al., 2012; Simon et al.,
2015; Sather and Cavender, 2016; Lin et al., 2017). (As discussed in Sect. 3, the summertime daytime decline here is weaker than previous results for
peak ozone because we included the morning and late afternoon hours that
exhibit ozone growth.) For other seasons, the ozone growth rates decrease
drastically from the control to the second case. This reflects
“penalty” of reducing NO<inline-formula><mml:math id="M546" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (Jhun et al., 2015), which is consistent
with previous findings that the 5th percentile of peak ozone (normally
occurring in cold seasons) over the eastern US has increased due to weakened
NO<inline-formula><mml:math id="M547" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> titration (Gao et al., 2013; Clifton et al., 2014., Simon et al.,
2015; Lin et al., 2017).</p>
      <p id="d1e7759">The third sensitivity simulation fixes the US anthropogenic emissions at the
2004 levels while allowing emissions in other regions and meteorology to vary
interannually (Table 5). The resulting ozone growth rates and
model–observation correlations resemble the second case, suggesting that
reductions in the US NO<inline-formula><mml:math id="M548" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions and ozone titration are the dominant
driver of modeled all-season nighttime ozone growth and summertime daytime
ozone reduction over 2004–2012. For the US annual ozone, the effects of
decreasing US emissions are approximately 0.15 ppb yr<inline-formula><mml:math id="M549" 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> for daily mean
ozone, 0.08 ppb yr<inline-formula><mml:math id="M550" 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> for daytime mean ozone, and 0.22 ppb yr<inline-formula><mml:math id="M551" 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>
for nighttime mean ozone, based on the difference between the third and the
control simulation. The annual ozone growth rates are slightly higher (by
0.01–0.02 ppb yr<inline-formula><mml:math id="M552" 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>) than the second case because of rising Asian
emissions simulated in the third case but not in the second case. Seasonally,
the increase from the second to the third case is greatest in spring
(0.11–0.14 ppb yr<inline-formula><mml:math id="M553" 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> versus 0.06–0.07 ppb yr<inline-formula><mml:math id="M554" 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>; Table 5). The
contribution of rising Asian emissions to the springtime US ozone growth,
especially over the western US, was also found by previous studies (Fiore et
al., 2009; Huang et al., 2013; M. Y. Lin et al., 2015; Verstraeten et al.,
2015; Lin et al., 2017).</p>
      <p id="d1e7844">The fourth simulation (named fixed met in Fig. 11) fixes meteorological data
in 2004 but allows global anthropogenic emissions to vary interannually. The
resulting trends of annual ozone are close to the trends in the control
simulation across the individual hours (long dashed yellow versus solid
yellow line in Fig. 11). Table 5 shows that the trend in annual nighttime
mean ozone is still notable at 0.26 ppb yr<inline-formula><mml:math id="M555" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M556" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>
value &lt; 0.01),
compared to 0.31 ppb yr<inline-formula><mml:math id="M557" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in the control simulation. This confirms that
the nighttime growth is driven by reduced NO<inline-formula><mml:math id="M558" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions and weakened
ozone titration. The model–observation correlation for the annual nighttime
ozone is 0.71 (<inline-formula><mml:math id="M559" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value &lt; 0.01) and 0.31 (<inline-formula><mml:math id="M560" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M561" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.43) before
and after detrending, respectively. The correlations for the annual daytime
ozone are much weaker than the second simulation, regardless of whether the ozone
data are detrended (0.39–0.41 versus 0.76–0.81), suggesting the dominant
effect of interannual climate variability on the ozone in this part of the
day. For season ozone, changes from the control to the fourth case are
generally similar to those for annual ozone (Table 5).</p>
      <p id="d1e7910">For each hour of the day, the two shaded areas in Fig. 11 broadly separate
the contribution of anthropogenic emissions (dark grey shade) to the
2004–2012 annual ozone changes from the contribution of interannual climate
variability (light grey shade). The contributions are calculated as
<inline-formula><mml:math id="M562" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">anth</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msubsup><mml:mi>R</mml:mi><mml:mi mathvariant="normal">anth</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>/</mml:mo><mml:mfenced open="(" close=")"><mml:msubsup><mml:mi>R</mml:mi><mml:mi mathvariant="normal">anth</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi>R</mml:mi><mml:mi mathvariant="normal">clim</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mfenced></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M563" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">clim</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">anth</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
where <inline-formula><mml:math id="M564" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">anth</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the correlation between observed and modeled annual mean
ozone (at a particular hour) with fixed model meteorology and <inline-formula><mml:math id="M565" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">clim</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the
observation–model correlation with fixed global anthropogenic emissions.
Figure 11 shows that the emission contribution dominates in the nighttime
hours (relatively constant at about 70 %), with a reduction in the morning
hours, an increase in the late afternoon hours, and a minimum value (at
10 %) around 15:00.</p>
      <p id="d1e7996">Overall, the modeling results indicate that for the interannual variation of
US mean ozone over 2004–2012, climate variability and anthropogenic
emissions are the main drivers of the historical daytime ozone variability
and nighttime ozone trend, respectively. The rising Asian emissions
contribute to the US annual mean ozone trends (0.01–0.02 ppb yr<inline-formula><mml:math id="M566" 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> for daily
mean, daytime, and nighttime ozone) much less than the contributions from the
US anthropogenic emission changes (0.08–0.22 ppb yr<inline-formula><mml:math id="M567" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and climate
variability (0.05–0.07 ppb yr<inline-formula><mml:math id="M568" 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>).</p>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <title>Concluding Remark</title>
      <p id="d1e8042">This work shows that reductions in the US anthropogenic emissions have
effectively lowered the summertime daytime ozone from 1990 to 2014,
consistent with previous studies on afternoon or MDA8 ozone. On an annual
mean basis, the daytime ozone have continued to increase. Furthermore, the
great sensitivity of the annual average daytime ozone to interannual climate
variability increases the difficulty in projecting future ozone air quality
(Jacob and Winner, 2009; Rieder et al., 2015). The daily mean and
particularly the nighttime ozone have experienced substantial growth due to
weakened titration by NO<inline-formula><mml:math id="M569" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>. This likely implies potential growth in
health risk from long-term exposure of enhanced low- and medium-level ozone
(Jerrett et al., 2009; Bell et al., 2006; Peng et al., 2013). As the extent of
outdoor activities differs notably at different times of day, the overall
effect of ozone trends at individual hours on public health warrants further
research. Nonetheless, pollution mitigation strategies might consider to
address ozone changes at different times of the day and not only during peak
hours.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability">

      <p id="d1e8058">Hourly ozone data are from AQS
(<uri>http://aqsdr1.epa.gov/aqsweb/aqstmp/airdata/download_files.html</uri>; EPA
AQS, 2017), the AMO index is from NOAA/ESRL
(<uri>http://www.esrl.noaa.gov/psd/data/timeseries/AMO/</uri>; NOAA/ESRL, 2017),
and the ONI index is from the NOAA Climate Prediction Center
(<uri>http://www.cpc.noaa.gov/products/analysis_monitoring/ensostuff/ensoyears.shtml</uri>;
NOAA Climate Prediction Center, 2017). Model results are available upon
request.</p>
  </notes><notes notes-type="competinginterests">

      <p id="d1e8073">The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e8079">We thank Owen Cooper, Haidong Kan, and Jianjun Yin for discussions. This
research is supported by the 973 project (2014CB441303) and the National
Natural Science Foundation of China (41775115 and 41422502).<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: Kyung-Eun Min<?xmltex \hack{\newline}?>
Reviewed by: two anonymous referees</p></ack><?xmltex \hack{\vspace*{0.6cm}}?><ref-list>
    <title>References</title>

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

    </app></app-group></back>
    <!--<article-title-html>Ozone trends over the United States at different times of day</article-title-html>
<abstract-html><p class="p">In the United States, the decline of summertime daytime peak ozone in the
last 20 years has been clearly connected to reductions in anthropogenic
emissions. However, questions remain about how and through what mechanisms
ozone at other times of day have changed over recent decades. Here we analyze
the interannual variability and trends of ozone at different hours of day,
using observations from about 1000 US sites during 1990–2014. We find a
clear diurnal cycle both in the magnitude of ozone trends and in the relative
importance of climate variability versus anthropogenic emissions to ozone
changes. Interannual climate variability has mainly been associated with the
detrended fluctuation in the US annual daytime ozone over 1990–2014, with a
much smaller effect on the nighttime ozone. Reductions in anthropogenic
emissions of nitrogen oxides have led to substantial growth in the US annual
average nighttime ozone due to reduced ozone titration, while the summertime
daytime ozone has declined. Environmental policymaking might consider further
improvements to reduce ozone levels at night and other non-peak hours.</p></abstract-html>
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