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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-19-2165-2019</article-id><title-group><article-title>Surface erythemal UV irradiance in the continental United States
derived from ground-based and OMI observations: quality assessment, trend analysis and sampling issues</article-title><alt-title>Surface erythemal UV irradiance in the continental US</alt-title>
      </title-group><?xmltex \runningtitle{Surface erythemal UV~irradiance in the continental~US}?><?xmltex \runningauthor{H.~Zhang et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Zhang</surname><given-names>Huanxin</given-names></name>
          <email>huanxin-zhang@uiowa.edu</email>
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Wang</surname><given-names>Jun</given-names></name>
          <email>jun-wang-1@uiowa.edu</email>
        <ext-link>https://orcid.org/0000-0002-7334-0490</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Castro García</surname><given-names>Lorena</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Zeng</surname><given-names>Jing</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Dennhardt</surname><given-names>Connor</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Liu</surname><given-names>Yang</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5477-2186</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Krotkov</surname><given-names>Nickolay A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6170-6750</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Chemical and Biochemical Engineering, The University of Iowa, Iowa City, IA, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Center for Global and Regional Environmental Research, The University of Iowa, Iowa City, IA, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>National Weather Service, El Paso, TX, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Rollins School of Public Health, Emory University, Atlanta, GA, USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>NASA Goddard Space Flight Center, Greenbelt, MD, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Jun Wang (jun-wang-1@uiowa.edu) and Huanxin Zhang (huanxin-zhang@uiowa.edu)</corresp></author-notes><pub-date><day>19</day><month>February</month><year>2019</year></pub-date>
      
      <volume>19</volume>
      <issue>4</issue>
      <fpage>2165</fpage><lpage>2181</lpage>
      <history>
        <date date-type="received"><day>14</day><month>July</month><year>2018</year></date>
           <date date-type="rev-request"><day>3</day><month>September</month><year>2018</year></date>
           <date date-type="rev-recd"><day>22</day><month>January</month><year>2019</year></date>
           <date date-type="accepted"><day>23</day><month>January</month><year>2019</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="d1e164">Surface full-sky erythemal dose rate (EDR) from the Ozone Monitoring
Instrument (OMI) at both satellite overpass time and local noon time is
evaluated against ground measurements at 31 sites from the US Department of
Agriculture's (USDA) UV-B Monitoring and Research Program (UVMRP) over the period of 2005–2017. We find that both OMI
overpass and solar noon time EDR are highly correlated with the measured
counterparts (with a linear correlation coefficient of 0.90 and 0.88,
respectively). Although the comparison statistics are improved with a longer
time window (0.5–1.0 h) for pairing surface and OMI measurements, both OMI
overpass and local noon time EDRs have 7 % overestimation that is larger
than 6 % uncertainty in the ground measurements and show different levels
of dependence on solar zenith angle (SZA) and to lesser extent on cloud optical
depth. The ratio of EDR between local noon and OMI overpass time is often
(95 % in frequency) larger than 1 with a mean of 1.18 in the OMI product;
in contrast, the same ratio from surface observation is normally distributed with 22 %
of the times less than 1 and a mean of 1.38. This contrast in
part reflects the deficiency in the OMI surface UV algorithm that assumes
constant atmospheric conditions between overpass and noon time. The
probability density functions (PDFs) for both OMI and ground measurements of
noontime EDR are in statistically significant agreement, showing dual peaks
at <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula> mW m<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively; the latter is lower
than 220 mW m<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, the value at which the PDF of <italic>daily</italic> EDR from ground measurements
peaks, and this difference indicates that the largest EDR value for a given
day may not often occur at local noon. Lastly, statistically significant
positive trends of EDR are found in the northeastern US in OMI data, but
opposite trends are found within ground-based data (regardless of sampling
for either noontime or daily averages). While positive trends are
consistently found between OMI and surface data for EDR over the southern
Great Plains (Texas and Oklahoma), their values are within the uncertainty of
ground measurements. Overall, no scientifically sound trends can be found
among OMI data for aerosol total and absorbing optical depth, cloud optical
depth and total ozone to explain coherently the surface UV trends revealed
either by OMI or ground-based estimates; these data also cannot reconcile trend
differences between the two estimates (of EDR from OMI and surface observations). Future geostationary satellites with
better spatiotemporal resolution data should help overcome spatiotemporal
sampling issues inherent in OMI data products and therefore improve the
estimates of surface UV flux and EDR from space.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<?pagebreak page2166?><sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e223">The amount of surface solar UV radiation (200–400 nm) reaching the earth's
surface has substantial impacts on human health and ecosystems (Andrady et al.,
2015; WMO, 2014). For example, about 90 % of nonmelanoma skin cancers are
associated with exposure to solar UV radiation in the US (Koh
et al., 1996). Bornman and Teramura (1993) and Caldwell et al. (1995)
showed the negative effects of UV radiation on plant growth and tissues.
Since the discovery of the significant ozone depletion in the Antarctic
region (Farman et al., 1985) and midlatitudes (Fioletov et al.,
2002), subsequent effects on surface UV levels have received attention. As a
result, great efforts have been made to monitor surface UV radiation from
both satellite and ground instruments in the past few decades (Bigelow et
al., 1998; Sabburg et al., 2002; Levelt et al., 2006; Buntoung and Webb,
2010; Lakkala et al., 2014; Pandey et al., 2016; Krzyścin et al., 2011;
Utrillas et al., 2013). Although satellite measurements provide a better
spatial coverage of the surface UV radiation, they (similar to ground-based
observations) are not only affected by instrument errors (Bernhard and
Seckmeyer, 1999), but are also subject to uncertainties in the algorithms
used to derive surface UV radiation. Therefore, evaluation of
satellite-based estimates of surface UV radiation against available ground
measurements at many locations around the world is needed to characterize
the errors toward further refinement of the surface UV estimates.</p>
      <p id="d1e226">The solar spectral irradiance (in mW m<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> nm<inline-formula><mml:math id="M6" 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 usually
measured by ground and satellite instruments. In addition, the erythemally
weighted irradiance has been widely used to describe the sunburning or
reddening effects (McKenzie et al., 2004). Erythemally weighted
irradiance or erythemal dose rate (EDR; in mW m<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) is defined as the
solar irradiance on a horizontal surface weighted with the erythemal action
spectrum (McKinlay and Diffey, 1987); it can be further divided by 25 mW m<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
to derive the UV index – an indicator of the potential for skin
damage (WMO, 2002). Hence, the UV index is commonly used as a UV exposure
measure for the general public and in epidemiological studies in
many parts of the world (Eide and Weinstock, 2005; Lemus-Deschamps and
Makin, 2012; Walls et al., 2013). In the US, several ground UV monitoring
networks that respond to changes in the surface
UV radiation have been established (Bigelow et al., 1998; Sabburg et al., 2002; Scotto et al.,
1988). Currently, the UV-B Monitoring and Research Program (UVMRP) initiated
by the US Department of Agriculture (USDA) and the NEUBrew (NOAA-EPA
Brewer Spectrophotometer UV and Ozone Network) remain as the two active
operating networks providing surface UV data in the US.</p>
      <p id="d1e277">The goal of this study is to use UVMRP datasets to evaluate the Ozone Monitoring
Instrument (OMI)-based estimates of the surface UV radiation in the past decade in the US.
As a successor to the Total Ozone Mapping Spectrometer (TOMS), whose
surface UV data (such as erythemally weighted irradiance) have been
extensively evaluated in the past (Arola et al., 2005; Cede et al., 2004;
Kalliskota et al., 2000; Kazantzidis et al., 2006; McKenzie et al., 2001),
OMI data have a finer spatial and spectral resolution and thereby bear more
advanced capability for characterizing the spatial distribution of the
surface UV radiation. TOMS data records span from 1978 to 2005, and many
past studies have shown that TOMS surface UV data overestimated the ground
observational data at many sites. OMI was launched into space in July 2004
as part of the Aura satellite (Levelt et al., 2006), and it has started
to collect data from August 2004 to the present. While there have been a
number of studies evaluating the OMI surface UV data with ground
observations, these studies, as shown in Table 1, have mainly focused on
Europe (Antón et al., 2010; Buchard et al., 2008; Ialongo et al.,
2008; Kazadzis et al., 2009a; Tanskanen et al., 2007; Weihs et al., 2008;
Zempila et al., 2016), South America (Cabrera et al., 2012), high
latitudes (Bernhard et al., 2015) and the tropics (Janjai et al.,
2014). These studies evaluated OMI spectral irradiance, EDR and erythemally
weighted daily dose (EDD) within different time periods. Most comparisons show
positive bias up to 69 %, with few showing negative bias up to <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> %.</p>
      <p id="d1e290">This study differs from the past studies in the following ways. Firstly, we
conducted a comprehensive evaluation of the OMI surface UV data from 2005
to 2017 covering the continental US. The evaluation was made for
erythemally weighted irradiance at both local solar noon and satellite
overpass times, and the evaluation statistics not only concern mean bias (MB) but
also the probability density function (PDF), cumulative distribution function (CDF)
and variability of the UV data. Secondly, a trend analysis of the
surface UV irradiance from both ground observation and OMI was performed,
with a special focus on the effects of the temporal sampling. The analysis
addresses whether the once-per-day sampling from the polar-orbiting satellite
would have any inherent limitation for the trend analysis of surface UV
data. Finally, the error characteristics in the OMI surface UV data were
examined to understand the underlying sources (such as from treatment of
clouds and assumption of constant atmospheric conditions between the local
solar noon and satellite overpass time). The investigation yields
recommendations for future refinement of the OMI surface UV algorithm.</p>
      <p id="d1e294">The paper is organized as follows: Sect. 2 describes the satellite and
ground observational data, the methodology is discussed in Sect. 3, Sect. 4
presents the results and Sect. 5 summarizes the findings.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p id="d1e300">Summary of previous studies evaluating OMI surface UV data against
ground observation. Most of the comparisons shown here are for all-sky
conditions unless noted otherwise.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Study</oasis:entry>
         <oasis:entry colname="col2">Location</oasis:entry>
         <oasis:entry colname="col3">OMI data<inline-formula><mml:math id="M46" 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">Ground instrument</oasis:entry>
         <oasis:entry colname="col5">Time periods</oasis:entry>
         <oasis:entry colname="col6">Bias<inline-formula><mml:math id="M47" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Kazadzis et</oasis:entry>
         <oasis:entry colname="col2">Thessaloniki,</oasis:entry>
         <oasis:entry colname="col3">Spectral</oasis:entry>
         <oasis:entry colname="col4">Brewer MK III</oasis:entry>
         <oasis:entry colname="col5">Sep 2004–Dec 2007</oasis:entry>
         <oasis:entry colname="col6">30 % (305 nm), 17 % (324 nm),</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">al. (2009a)</oasis:entry>
         <oasis:entry colname="col2">Greece</oasis:entry>
         <oasis:entry colname="col3">(op)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">13 % (380 nm)<inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Antón et al.</oasis:entry>
         <oasis:entry colname="col2">El Arenosillo,</oasis:entry>
         <oasis:entry colname="col3">Spectral</oasis:entry>
         <oasis:entry colname="col4">Brewer MK III</oasis:entry>
         <oasis:entry colname="col5">Oct 2004–Dec 2008</oasis:entry>
         <oasis:entry colname="col6">14.2 % (305 nm), 10.6 % (310 nm),</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">(2010)</oasis:entry>
         <oasis:entry colname="col2">Spain</oasis:entry>
         <oasis:entry colname="col3">(op)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">8.7 % (324 nm)<inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">EDR (op)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">12.3 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Zempila et al.</oasis:entry>
         <oasis:entry colname="col2">Thessaloniki,</oasis:entry>
         <oasis:entry colname="col3">Spectral</oasis:entry>
         <oasis:entry colname="col4">NILU-UV multi-filter</oasis:entry>
         <oasis:entry colname="col5">Jan 2005–Dec 2014</oasis:entry>
         <oasis:entry colname="col6">31 % (305 nm), 29.5 % (310 nm),</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">(2016)</oasis:entry>
         <oasis:entry colname="col2">Greece</oasis:entry>
         <oasis:entry colname="col3">(op)</oasis:entry>
         <oasis:entry colname="col4">radiometer</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">6.1 % (324 nm), 14.0 % (380 nm)<inline-formula><mml:math id="M50" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Spectral</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">33.6 % (305 nm), 28.6 % (310 nm),</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(noon)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">5.6 % (324 nm), 13.2 % (380 nm)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Buchard et al.</oasis:entry>
         <oasis:entry colname="col2">Villeneuve-</oasis:entry>
         <oasis:entry colname="col3">EDR (op)</oasis:entry>
         <oasis:entry colname="col4">spectroradiometer<inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Oct 2005–Feb 2007</oasis:entry>
         <oasis:entry colname="col6">32.5 %<inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">h</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">(2008)</oasis:entry>
         <oasis:entry colname="col2">d'Ascq, France</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">UVB-1, YES<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">69.3 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">EDD</oasis:entry>
         <oasis:entry colname="col4">spectroradiometer</oasis:entry>
         <oasis:entry colname="col5">Oct 2005–Jul 2006</oasis:entry>
         <oasis:entry colname="col6">17.1 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Briançon,</oasis:entry>
         <oasis:entry colname="col3">EDD</oasis:entry>
         <oasis:entry colname="col4">spectroradiometer</oasis:entry>
         <oasis:entry colname="col5">Oct 2004–Sep 2005</oasis:entry>
         <oasis:entry colname="col6">7.9 %</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">France</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ialongo et al.</oasis:entry>
         <oasis:entry colname="col2">Rome, Italy</oasis:entry>
         <oasis:entry colname="col3">EDR</oasis:entry>
         <oasis:entry colname="col4">Brewer MKIV</oasis:entry>
         <oasis:entry colname="col5">Sep 2004–Jul 2006</oasis:entry>
         <oasis:entry colname="col6">33 %<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(2008)</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(noon)</oasis:entry>
         <oasis:entry colname="col4">UVB-1, YES</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">30 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Tanskanen et</oasis:entry>
         <oasis:entry colname="col2">17 sites</oasis:entry>
         <oasis:entry colname="col3">EDD</oasis:entry>
         <oasis:entry colname="col4">18 instruments</oasis:entry>
         <oasis:entry colname="col5">Sep 2004–Mar 2006</oasis:entry>
         <oasis:entry colname="col6">up to 50 %<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">k</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">al. (2007)<inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">j</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Bernhard et</oasis:entry>
         <oasis:entry colname="col2">13 stations</oasis:entry>
         <oasis:entry colname="col3">EDD</oasis:entry>
         <oasis:entry colname="col4">13 instruments</oasis:entry>
         <oasis:entry colname="col5">Sep 2004–Dec 2012</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> % to 24 %<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">m</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">al. (2015)<inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">l</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Weihs et al.</oasis:entry>
         <oasis:entry colname="col2">Vienna, Austria</oasis:entry>
         <oasis:entry colname="col3">UV index</oasis:entry>
         <oasis:entry colname="col4">biometer</oasis:entry>
         <oasis:entry colname="col5">May–Jul 2007</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> % to 50 %<inline-formula><mml:math id="M61" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">o</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(2008)<inline-formula><mml:math id="M62" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">n</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(op)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Janjai et al.</oasis:entry>
         <oasis:entry colname="col2">Thailand</oasis:entry>
         <oasis:entry colname="col3">UV index</oasis:entry>
         <oasis:entry colname="col4">multichannel UV</oasis:entry>
         <oasis:entry colname="col5">2008–2010</oasis:entry>
         <oasis:entry colname="col6">43.6 %, 43.5 %, 28.7 %,</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(2014)<inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(op)</oasis:entry>
         <oasis:entry colname="col4">radiometer</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">21.9 %<inline-formula><mml:math id="M64" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">q</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Cabrera et al.</oasis:entry>
         <oasis:entry colname="col2">Santiago, Chile</oasis:entry>
         <oasis:entry colname="col3">UV index</oasis:entry>
         <oasis:entry colname="col4">PUV-510<inline-formula><mml:math id="M65" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">r</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">2005–2007</oasis:entry>
         <oasis:entry colname="col6">47 %<inline-formula><mml:math id="M66" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">s</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">(2012)</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(noon)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e303"><inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula>Spectral represents the OMI spectral irradiance data,
EDR is the erythemal dose rate and EDD is the erythemally weighted daily dose.
Op corresponds to the OMI data at its overpass time while noon means the data
at local solar noon time. <inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> The validation statistic shown here is
the bias with each study using slightly different ways of calculation.
<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> The bias here is calculated as the median (OMI/Ground <inline-formula><mml:math id="M13" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula>.
<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula> The bias is calculated as <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mn mathvariant="normal">100</mml:mn><mml:mo>×</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="normal">OMI</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Ground</mml:mi></mml:mrow><mml:mi mathvariant="normal">OMI</mml:mi></mml:mfrac></mml:mstyle></mml:mrow></mml:math></inline-formula>,
where <inline-formula><mml:math id="M17" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> is the total number of data points. <inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula> The bias is
calculated as the mean (OMI <inline-formula><mml:math id="M19" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> Ground)/Ground <inline-formula><mml:math id="M20" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 100.
<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:math></inline-formula> The spectroradiometer used here is thermally regulated Jobin
Yvon H10 double monochromator. <inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msup></mml:math></inline-formula> The broadband UVB-1 is from
Yankee Environmental System (YES). <inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">h</mml:mi></mml:msup></mml:math></inline-formula> The bias is calculated as
<inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mn mathvariant="normal">100</mml:mn><mml:mo>×</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="normal">OMI</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Ground</mml:mi></mml:mrow><mml:mi mathvariant="normal">Ground</mml:mi></mml:mfrac></mml:mstyle></mml:mrow></mml:math></inline-formula>,
where <inline-formula><mml:math id="M25" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> is the total number of data points. <inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msup></mml:math></inline-formula> Same as <inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">h</mml:mi></mml:msup></mml:math></inline-formula>.
<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">j</mml:mi></mml:msup></mml:math></inline-formula> This study evaluated OMI surface EDD at 17 ground sites representing
different latitudes, elevations and climate conditions with 18 instruments,
which include single and double Brewer spectrophotometers, NIWA UV spectrometer
systems, a DILOR XY50 spectrometer and SUV spectroradiometers. <inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">k</mml:mi></mml:msup></mml:math></inline-formula> The
bias is calculated as in <inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula>. For sites significantly affected by
absorbing aerosols or trace gases, the bias can be up to 50 %.
<inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">l</mml:mi></mml:msup></mml:math></inline-formula> This study evaluated OMI EDD at 13 ground stations located
throughout the Arctic and Scandinavia from 60 to 83<inline-formula><mml:math id="M32" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N. The instruments
installed include a single-monochromator Brewer spectrophotometer and GUV-541 and
GUV-511 multi-filter radiometers from Biospherical Instrument Inc. (BSI).
<inline-formula><mml:math id="M33" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">m</mml:mi></mml:msup></mml:math></inline-formula> Same as <inline-formula><mml:math id="M34" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula>. <inline-formula><mml:math id="M35" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">n</mml:mi></mml:msup></mml:math></inline-formula> This study evaluated OMI UV
index at 6 ground stations in the city of Vienna, Austria, and its surroundings.
Six biometers (Model 501, Solar Light Company, Inc.) were used. <inline-formula><mml:math id="M36" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">o</mml:mi></mml:msup></mml:math></inline-formula> The bias is
calculated as (OMI/Ground <inline-formula><mml:math id="M37" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> and the result for
clear-sky conditions is shown here. <inline-formula><mml:math id="M39" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msup></mml:math></inline-formula> This study evaluated OMI UV index at four
tropical sites in Thailand with each site having different time periods of data
between 2008 and 2010. The ground instrument installed is a multichannel
UV radiometer (GUV-2511) manufactured by BSI. <inline-formula><mml:math id="M40" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">q</mml:mi></mml:msup></mml:math></inline-formula> The bias is
calculated as <inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">h</mml:mi></mml:msup></mml:math></inline-formula>, representing the four sites, respectively.
<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">r</mml:mi></mml:msup></mml:math></inline-formula> PUV-510 is a multichannel filter UV radiometer centered at 305,
320, 340 and 380 nm. <inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">s</mml:mi></mml:msup></mml:math></inline-formula>The bias is calculated as (OMI <inline-formula><mml:math id="M44" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> Ground)/OMI <inline-formula><mml:math id="M45" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 100.</p></table-wrap-foot></table-wrap>

</sec>
<?pagebreak page2167?><sec id="Ch1.S2">
  <title>Data</title>
<sec id="Ch1.S2.SS1">
  <title>OMI data</title>
      <?pagebreak page2168?><p id="d1e1442">OMI aboard the NASA Aura spacecraft is a nadir-viewing spectrometer
(Levelt et al., 2006) that measures solar reflected and backscattered
radiances in the range of 270 to 500 nm with a spectral resolution of
about 0.5 nm. The 2600 km wide viewing swath and the sun-synchronous orbit
of Aura provides a daily global coverage, with an equatorial crossing time
at <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula>:45 LT (local time). The spatial resolution varies from
<inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mn mathvariant="normal">13</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (along <inline-formula><mml:math id="M70" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> cross) at nadir to <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mn mathvariant="normal">50</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> near the edge.
OMI retrieves total column ozone, total column amount of trace gases,
<inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, HOCO, aerosol characteristic and surface UV (Levelt
et al., 2006).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p id="d1e1530">OMI data products and validation statistics used in the current study.</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="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Full name</oasis:entry>
         <oasis:entry colname="col3">Acronym</oasis:entry>
         <oasis:entry colname="col4">Unit</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Data products</oasis:entry>
         <oasis:entry colname="col2">Full-sky overpass time erythemal dose rate</oasis:entry>
         <oasis:entry colname="col3">OP_FS EDR</oasis:entry>
         <oasis:entry colname="col4">mW m<inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Full-sky solar noon erythemal dose rate</oasis:entry>
         <oasis:entry colname="col3">Noon_FS EDR</oasis:entry>
         <oasis:entry colname="col4">mW m<inline-formula><mml:math id="M76" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Aerosol optical depth</oasis:entry>
         <oasis:entry colname="col3">AOD</oasis:entry>
         <oasis:entry colname="col4">unitless</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Aerosol absorption optical depth</oasis:entry>
         <oasis:entry colname="col3">AAOD</oasis:entry>
         <oasis:entry colname="col4">unitless</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Validation statistics</oasis:entry>
         <oasis:entry colname="col2">Mean bias</oasis:entry>
         <oasis:entry colname="col3">MB</oasis:entry>
         <oasis:entry colname="col4">mW m<inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Normalized mean bias</oasis:entry>
         <oasis:entry colname="col3">NMB</oasis:entry>
         <oasis:entry colname="col4">unitless</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Root-mean-square error</oasis:entry>
         <oasis:entry colname="col3">RMSE</oasis:entry>
         <oasis:entry colname="col4">mW m<inline-formula><mml:math id="M78" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Normalized centered root-mean-square difference</oasis:entry>
         <oasis:entry colname="col3">NRMSD</oasis:entry>
         <oasis:entry colname="col4">unitless</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Normalized standard deviation</oasis:entry>
         <oasis:entry colname="col3">NSD</oasis:entry>
         <oasis:entry colname="col4">unitless</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e1740">The OMI surface UV algorithm has its heritage from the TOMS UV algorithm
developed at the NASA Goddard Space Flight Center (GSFC) (Eck et al., 1995;
Herman et al., 1999; Krotkov et al., 1998, 2001, 2002; Tanskanen
et al., 2006). In the first part of the algorithm, the
surface-level UV irradiance at each OMI pixel under clear-sky conditions is
estimated from a lookup table that is computed from a radiative transfer
model for different values of total column ozone, surface albedo and solar zenith angle (SZA).
The lookup table was called twice, once to calculate the surface
UV irradiance at the satellite overpass time and once at the local solar noon.
The only difference between these two lookup tables is the SZAs, with one
representing the SZAs at the overpass time and the other representing the
solar noon, while the total column ozone and cloud optical thickness (COT)
are assumed to stay constant. The second step is to correct the clear-sky
surface UV irradiance for a given OMI pixel due to the effects of cloud and
nonabsorbing aerosols. The cloud-correction factor is derived from the
ratio of measured backscatter irradiances and solar irradiances at 360 nm
along with OMI total column ozone amount, surface monthly minimum Lambertian
effective reflectivity (LER) and surface pressure. The effects of absorbing
aerosols are also adjusted in the current surface UV algorithm based on a
monthly aerosol climatology as described in Arola et al. (2009).</p>
      <p id="d1e1743">The second step of the cloud correction mentioned above follows radiative
transfer calculations that assume a homogeneous, plane-parallel water-cloud
model with Rayleigh scattering and ozone absorption in the atmosphere
(Krotkov et al., 2001). The COT is assumed to be spectrally
independent and the cloud-phase function follows the C1-cloud model
(Deirmendjian, 1969). This cloud model is also used to calculate the
angular distribution of 360 nm radiance at the top of the atmosphere, which
is used to derive an effective COT. The effective COT is the same as the
actual COT for a homogeneous cloud plane-parallel model. The effective COT
is saved to a lookup table to use for cloud correction.</p>
      <p id="d1e1747">OMI surface UV data products (or OMUVB in shorthand) include (a) spectral
irradiance (mW m<inline-formula><mml:math id="M79" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> nm<inline-formula><mml:math id="M80" 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 305, 310, 324 and 380 nm at both the
local solar noon and OMI overpass time; (b) erythemal dose rate (mW m<inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)
at both the local solar noon and OMI overpass time; and (c) erythemally
weighted daily dose (J m<inline-formula><mml:math id="M82" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). The spectral irradiances
assume a triangular slit function with full width at half maximum of 0.55 nm.
The EDD is computed by applying the trapezoidal integration method to the
hourly EDR with the assumption that the total column ozone and COT remain
the same throughout the day. In addition, the OMUVB products include
information on data quality related to row anomaly, SZA and COT, which are
used in the present study. We also use the aerosol products from the OMAERUV
algorithm (Torres et al., 2007). The OMI OMAERUV algorithm uses two
wavelengths in the UV region (354 and 388 nm) to derive aerosol extinction
and absorption optical depth. The aerosol products (OMAERUV) retrieve
aerosol optical depth (AOD), aerosol absorption optical depth (AAOD) and
single scattering albedo at 354, 388 and 500 nm.</p>
      <p id="d1e1798">In the current study, both OMI level 2 (v003) and level 3 (v003) products
are used. The level 2 products provide swath-level data products while level 3
products are gridded daily products on a 1<inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M84" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1<inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
horizontal grid. Two variables from OMUVB level 2
products (Table 2) are used: (1) full-sky solar noon erythemal dose rate
denoted as Noon_FS EDR and (2) full-sky overpass time erythemal
dose rate denoted as OP_FS EDR. In addition, full-sky solar
noon EDR from the OMUVBd (“d” denotes daily) level 3 products and AOD and AAOD
from OMAERUVd level 3 products are used. These level 3 datasets are mainly
used for conducting trend analysis in Sect. 4.4 unless noted otherwise, while
the rest of the data analysis uses the level 2 datasets. All the datasets are
from January 2005 to December 2017 and row anomaly is checked during data
analysis for level 2 datasets.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Ground observation data</title>
      <p id="d1e1832">Currently, the UVMRP operates 36 climatological sites for long-term
monitoring of surface UV radiation around different ecosystem regions
(<uri>https://uvb.nrel.colostate.edu/UVB/uvb-network.jsf</uri>, last access: 21 January 2019). Of the
36 climatological sites, five are located in New Zealand, South Korea, Hawaii,
Alaska and Canada, while 31 sites are in the continental US, with the
majority of them located in agricultural or rural areas and a few in urban
areas. Among these 31 sites, one site started operation after 2014 and one
after 2006, and all other sites started earlier than 2006. In the current
study, we use the one site in Canada and 30 of the 31 sites in the
continental US and we exclude one site where operation started after 2014 (Fig. 1).</p>
      <p id="d1e1838">All sites measure global irradiance using a UVB-1 pyranometer manufactured by
Yankee Environmental Systems (YES). Since 1997, these broadband radiometers
have been calibrated and characterized annually at the Central UV
Calibration Facility (CUCF), located in Boulder, and have then been cycled
through Mauna Loa Observatory (MLO), Hawaii, for calibration after around 2009.
The annual characterization process includes laboratory tests for spectral
and cosine response change in the radiometer. For the calibration, the UVMRP
broadband radiometer is collocated with three of CUCF's YES UVB-1 standard
radiometers (the triad) and a precision spectroradiometer in the field for
2 weeks. The absolute calibration factor of each UVMRP radiometer is
determined by comparing its voltage output to the standard triad, which is
in turn frequently calibrated against the collocated spectroradiometer.
Because the spectral response functions of the UVMRP broadband radiometer do
not precisely match the erythemal action spectrum (McKinlay and Diffey,
1987), corrections that depend on SZA and total column<?pagebreak page2169?> ozone are needed.
More detailed calibration and characterization procedures are described in
Lantz et al. (1999). The erythemal UV irradiance used in the current
work is prepared with SZA-dependent calibration factors that assume total
column ozone is 300 DU (Gao et al., 2010). Past studies have shown that
the UVMRP broadband radiometer differs from the triad by 0.1 %–2.8 % for SZA
ranging from 20 to 80<inline-formula><mml:math id="M86" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> (Seckmeyer et al., 2005;
McKenzie et al., 2006). The calibration from the spectroradiometer to the
standard triad results in an uncertainty of approximately <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> % and
the overall uncertainty for the UVMRP broadband radiometers has been
estimated at approximately <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> % (Kimlin et al., 2005). The YES
UVB-1 instrument takes measurement every 15 s, which are aggregated into 3 min averages.</p>
      <p id="d1e1870">In this work, we use the 3 min averaged erythemally weighted irradiance at
31 sites in the continental US and information for each site is described
in Table S1 in the Supplement. Except for site TX41, for which data are available
since August 2006, we use data from January 2005 to December 2017 for the rest of the sites.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p id="d1e1875">Map of OMI level 3 EDR (mW m<inline-formula><mml:math id="M89" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) at solar noon time under full-sky
conditions averaged over 2005–2017, overlaid with 31 ground observational sites
averaged over 2005–2017 around solar noon time with <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> min.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/2165/2019/acp-19-2165-2019-f01.png"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Methods</title>
<sec id="Ch1.S3.SS1">
  <title>Spatial collocation and temporal averaging of data</title>
      <p id="d1e1926">Since OMI data represent an average over a ground pixel (<inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">13</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>
for nadir viewing and <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">50</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> for
off-nadir viewing) and ground measurements are point measurements that cover
a small area, previous work in Table 1, studies of Kazadzis et al. (2009b) and
Zempila et al. (2018), and studies using TOMS data
have investigated the effects of the selection of a collocation distance
between the center of an OMI ground pixel and the ground observational site
and/or the averaging time period around OMI overpass time and local solar noon
on the evaluation results. For example, Weihs et al. (2008) found that the
variability, defined as the absolute sum of the difference between the
average mean bias between OMI- and ground-measured UV index at any station
and the average mean bias from all stations divided by the total number of
measurements, increases with increasing collocation distance but decreases
with increasing averaging time period. Zempila et al. (2016) compared
OMI spectral irradiances at 305, 310, 324 and 380 nm with ground
observations considering spatial collocation and temporal averaging windows.
It was shown that the choice of collocation distance (10, 25 or 50 km)
plays a negligible role in the comparison in terms of the correlation
coefficient and mean bias. However, the selection of a longer averaging time
period (from <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> min) results in a
significant improvement under full-sky conditions for both OMI overpass and
solar noon time comparison. Chubarova et al. (2002) evaluated
the difference between TOMS overpass surface UV and ground data taken over
different time windows around TOMS overpass time. The results showed that
the calculated correlation coefficient of these two datasets nonlinearly
increases with the increasing averaging windows (from <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> to
<inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> min) and stays nearly constant from <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:math></inline-formula> min.</p>
      <?pagebreak page2170?><p id="d1e2036">In this work, we will examine the separate effects of spatial collocation
and temporal averaging on evaluation results. Firstly, for each ground site,
its observation is paired with the OMI data at the pixel level if the center of
that pixel is within the distance (<inline-formula><mml:math id="M101" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula>) of 50 km from that ground site. Then
the ground observational data at each site are taken within (<inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> of)
<inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> min around the OMI overpass time or the local solar noon time
at that pixel. Correspondingly, there will be two to three ground data found, the
temporal mean of which will be paired up with the OMI data from that pixel
for subsequent comparison. Further evaluation is conducted by changing
different <inline-formula><mml:math id="M104" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> values to 10 and 25 km and/or <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> values of <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> min around OMI overpass time and local
solar noon time. Consequently, a total of 12 sets of paired data are
generated for the evaluation, as a result of a different combination of
three <inline-formula><mml:math id="M109" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> values and four <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> values used for spatially and temporally
collocating OMI and ground data. For a given <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula>, there
are <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">000</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">67</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">000</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">17</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">000</mml:mn></mml:mrow></mml:math></inline-formula> data
pairs at all of the ground sites for <inline-formula><mml:math id="M115" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> values of 50, 25 and 10 km, respectively.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Validation statistics</title>
      <p id="d1e2194">First, we present several commonly used validation statistics (Table 2):
mean bias (MB) calculated in Eq. (1), normalized mean bias (NMB) in Eq. (2),
the root-mean-square error (RMSE) in Eq. (3) and correlation coefficient (<inline-formula><mml:math id="M116" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>).
We also show the overall evaluation of OMI surface UV data against
ground observation in the form of a Taylor diagram (Taylor, 2001) (see
Fig. 3a). A Taylor diagram provides a statistic summary of OMI data
evaluated against ground observation in terms of correlation coefficient <inline-formula><mml:math id="M117" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>
(the cosine of polar angles); the ratio of standard deviations between OMI
and ground observational data (the normalized standard deviation – NSD)
shown in the <inline-formula><mml:math id="M118" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M119" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis, respectively; and the normalized centered
root-mean-square difference (NRMSD) in Eq. (4), shown as the radius from the
expected point, which is located at the point where <inline-formula><mml:math id="M120" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> and NSD are unity.

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M121" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">MB</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="normal">EDR</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">OMI</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">EDR</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Ground</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">NMB</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="normal">EDR</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">OMI</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">EDR</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Ground</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:msub><mml:mi mathvariant="normal">EDR</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Ground</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">RMSE</mml:mi><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="normal">EDR</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">OMI</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">EDR</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Ground</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            <?xmltex \hack{\vspace*{-6mm}}?>

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M122" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">NRMSD</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{7.9}{7.9}\selectfont$\displaystyle}?><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:msqrt><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:msup><mml:mfenced close="]" open="["><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="normal">EDR</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">OMI</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mover accent="true"><mml:mi mathvariant="normal">EDR</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mi mathvariant="normal">OMI</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="normal">EDR</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Ground</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mover accent="true"><mml:mi mathvariant="normal">EDR</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mi mathvariant="normal">Ground</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt><mml:msqrt><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="normal">EDR</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Ground</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mover accent="true"><mml:mi mathvariant="normal">EDR</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mi mathvariant="normal">Ground</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt></mml:mfrac></mml:mstyle><?xmltex \hack{$\egroup}?><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where <inline-formula><mml:math id="M123" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> is the <inline-formula><mml:math id="M124" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>th paired (OMI–ground) data point, <inline-formula><mml:math id="M125" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> is the total number of
paired data points, and EDR<inline-formula><mml:math id="M126" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">OMI</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula> and
EDR<inline-formula><mml:math id="M127" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Ground</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula> are the <inline-formula><mml:math id="M128" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>th EDR from OMI and
ground observation, respectively. <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi mathvariant="normal">EDR</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mi mathvariant="normal">OMI</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi mathvariant="normal">EDR</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mi mathvariant="normal">Ground</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the mean of <inline-formula><mml:math id="M131" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> number of OMI
and ground data, respectively. Both correlation coefficients in the Taylor
diagram and the scatter plot are obtained from the ordinary linear least squares method.</p>
      <p id="d1e2715">To determine whether the calculated MB or NMB are statistically significant,
a <inline-formula><mml:math id="M132" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test for differences of mean under serial dependence is applied
(Wilks, 2011). This two-sample <inline-formula><mml:math id="M133" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test assumes a first-order
autoregression in the data. The computed two-tailed <inline-formula><mml:math id="M134" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value of less
than 0.025 indicates that the difference between the means for the paired data
(OMI and ground EDR) would be statistically significant at the 95 %
confidence level. In addition, we calculate the PDF and CDF of OMI and
ground observational data. A Kolmogorov–Smirnov (K–S) test
(Wilks, 2011) is performed to compare the CDFs of the OMI and
ground datasets. The K–S test is represented by the following formula:

                <disp-formula id="Ch1.E5" content-type="numbered"><mml:math id="M135" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="normal">max</mml:mi><mml:mfenced open="|" close="|"><mml:mrow><mml:msub><mml:mi mathvariant="normal">CDF</mml:mi><mml:mi mathvariant="normal">OMI</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">CDF</mml:mi><mml:mi mathvariant="normal">Ground</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          If <inline-formula><mml:math id="M136" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> is greater than the critical value, 0.84<inline-formula><mml:math id="M137" display="inline"><mml:msqrt><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msqrt></mml:math></inline-formula> (<inline-formula><mml:math id="M138" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula> is the total
number of data points), then the null hypothesis that the two datasets were
drawn from the same distribution will be rejected at the 99 % confidence level.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <title>Trend analysis</title>
      <p id="d1e2803">Following the work of Weatherhead et al. (1997, 1998), the trend of surface
UV irradiance from OMI and ground observation can be estimated using the
following linear model:

                <disp-formula id="Ch1.E6" content-type="numbered"><mml:math id="M139" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>Y</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>C</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="italic">ω</mml:mi><mml:msub><mml:mi>X</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">…</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>T</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M140" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> is the total number of months considered and <inline-formula><mml:math id="M141" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> is the month index,
starting from January 2005 to December 2017. <inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the monthly mean
surface UV irradiance either from OMI or the ground observation in the US
and <inline-formula><mml:math id="M143" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula> is a constant. <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>t</mml:mi><mml:mo>/</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula> represents the linear trend function
and <inline-formula><mml:math id="M145" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula> is the magnitude of the trend per year. <inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is a seasonal
component, represented in the following form:

                <disp-formula id="Ch1.E7" content-type="numbered"><mml:math id="M147" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>S</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">4</mml:mn></mml:munderover><mml:mfenced close="]" open="["><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mi>sin⁡</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">π</mml:mi><mml:mi>j</mml:mi><mml:mi>t</mml:mi><mml:mo>/</mml:mo><mml:mn mathvariant="normal">12</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mi>cos⁡</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">π</mml:mi><mml:mi>j</mml:mi><mml:mi>t</mml:mi><mml:mo>/</mml:mo><mml:mn mathvariant="normal">12</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the noise not represented by the linear model and is often assumed
to be a first-order autoregressive model, which can be expressed as

                <disp-formula id="Ch1.E8" content-type="numbered"><mml:math id="M149" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>N</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:msub><mml:mi>N</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the noise from month (<inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>); <inline-formula><mml:math id="M152" display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> is the
autocorrelation between <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>; and <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the
white noise which should be approximately independent, normally distributed
with zero mean and common variance <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">ε</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula>.</p>
      <?pagebreak page2171?><p id="d1e3159">As described in Weatherhead et al. (1998), generalized least squares (GLS)
regression was applied to Eq. (6) to derive the approximation of <inline-formula><mml:math id="M157" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>
and its standard deviation <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">ω</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> as
<?xmltex \hack{\newpage}?><?xmltex \hack{\vspace*{-6mm}}?>

                <disp-formula id="Ch1.E9" content-type="numbered"><mml:math id="M159" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">ω</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>N</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msup><mml:mi>n</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mfrac></mml:mstyle><mml:msqrt><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:msqrt><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mi>T</mml:mi><mml:mo>/</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula> is the number of years of the data used in the analysis
and <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>N</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the standard deviation of <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. We
will consider the trend significant at the 95 % confidence level if
<inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mi mathvariant="italic">ω</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">ω</mml:mi></mml:msub><mml:mo>|</mml:mo><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>. Such linear models have
been widely used to study the various environmental monthly time series data
in the previous studies (Boys et al., 2014; Zhang and Reid, 2010; Weatherhead et al., 2000).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p id="d1e3300">Scatter plots of OMI EDR data with ground observations from year 2005
to 2017. <bold>(a, b)</bold> show the comparisons of OMI OP_FS and Noon_FS EDR
with measurements at all of the 31 ground observational sites, respectively,
while <bold>(c, d)</bold> only show the comparisons of OMI EDR with ground
measurements at Homestead, Florida (FL01). In each scatter plot, also shown is
the correlation coefficient (<inline-formula><mml:math id="M164" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>), the root-mean-square error (RMSE), the number
of collocated data points (<inline-formula><mml:math id="M165" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>), the density of points (the color bar), the
best-fit linear regression line (the dashed black line) and the <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> line (the
solid black line).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/2165/2019/acp-19-2165-2019-f02.jpg"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <title>Results</title>
<sec id="Ch1.S4.SS1">
  <title>Spatial and temporal inter-comparison</title>
      <p id="d1e3354">Figure 1 shows the map of OMI level 3 EDR at solar noon time under full-sky
conditions averaged from 2005 to 2017, overlaid with 31 ground observational
sites of EDR averaged from the same local noon time. First, we find that OMI
data show a meridional gradient with the dose rate increasing from
<inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> mW m<inline-formula><mml:math id="M168" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in the northern US to <inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">203</mml:mn></mml:mrow></mml:math></inline-formula> mW m<inline-formula><mml:math id="M170" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in the
southern US. At higher-elevation regions such as in
Colorado, OMI-derived EDRs are larger than other areas of the same latitude
zone. In comparison, the ground sites range from <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">73</mml:mn></mml:mrow></mml:math></inline-formula> mW m<inline-formula><mml:math id="M172" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in
the northern US to a maximum of <inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">190</mml:mn></mml:mrow></mml:math></inline-formula> mW m<inline-formula><mml:math id="M174" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for site
NM01 in the southern US, generally capturing the OMI meridional
gradient well. At most sites, OMI data overestimate the ground observation
by more than 5 %, with sites in Steamboat Springs, Colorado (CO11);
Burlington, Vermont (VT01); and Homestead, Florida (FL01), showing the highest
bias of more than 15 %.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p id="d1e3448">Taylor diagrams for evaluating OMI OP_FS EDR <bold>(a)</bold> and
Noon_FS EDR <bold>(b)</bold> against 31 ground observational sites matched with
<inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> km and <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> min, respectively. The circles represent the
ground sites and the color at each circle represents the NMB (%).
<bold>(c, d)</bold> are the zoomed-in plot for the boxes in <bold>(a, b)</bold>,
respectively. Also, the squares in <bold>(c, d)</bold> represent sites that have
significant NMB at the 95 % confidence level. <bold>(e)</bold> is the zoomed-in
plot for OMI OP_FS EDR evaluation with <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> km and <inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> min.
<bold>(f)</bold> shows the evaluation of OMI OP_FS EDR (triangles) and Noon_FS
EDR (circles) with <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> km and <inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>, 10, 30 and 60 min against
the ensemble of 31 ground observational sites.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/2165/2019/acp-19-2165-2019-f03.png"/>

        </fig>

      <p id="d1e3564">Scatter plots of OMI OP_FS and Noon_FS EDR
with all 31 ground observational sites are shown in Fig. 2a and b.
Overall, the comparison for OMI OP_FS EDR shows better
agreements with the ground data than the comparison for OMI
Noon_FS EDR. In both cases, a good linear relationship is
found with a correlation coefficient (<inline-formula><mml:math id="M181" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>) of 0.9 and 0.88 for OMI
OP_FS and Noon_FS. This statistically
significant correlation (with <inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) can also be found at most
individual sites, as shown in the Taylor diagrams (Fig. 3a and b). The
high correlation found here in the US is consistent with previous work
that evaluated OMI EDR in Europe (Buchard et al., 2008; Ialongo et al.,
2008). In addition, both OMI OP_FS and Noon_FS
EDR were found to overestimate the ground counterparts, with MB of
8 (<inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> %) and 8.9 (<inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> %) mW m<inline-formula><mml:math id="M185" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
respectively. Furthermore, the respective RMSEs are 34.9 and 41.5 mW m<inline-formula><mml:math id="M186" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.
The better performance found for OMI OP_FS EDR
indicates the uncertainty caused by the assumption of constant atmospheric
conditions between OMI overpass time and local solar noon time in the
current OMI surface UV algorithm, which has also been highlighted by
previous work (Buntoung and Webb, 2010) and will be discussed more in
details in Sect. 4.3.</p>
      <p id="d1e3631"><?xmltex \hack{\newpage}?>Taylor diagrams in Fig. 3 further illustrate the comparison of OMI
OP_FS and Noon_FS EDR with ground measurements
at each site. Most individual sites show better performances for OMI
overpass time evaluation than local solar noon time evaluation, as expected.
For both cases, the performance at each site shows large variation. Site CO11
is located above 3 km and therefore the cloud effects are not
corrected, which very likely results in the high bias found in both data
comparisons. Thus, CO11 will be excluded in the following discussion. For
evaluating OMI OP_FS EDR, the correlation varies from 0.74 (FL01) to
0.95 (CA01), the normalized mean bias varies from <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.54</mml:mn></mml:mrow></mml:math></inline-formula> % (NC01) to
24.5 % (FL01) and the mean bias changes from <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.66</mml:mn></mml:mrow></mml:math></inline-formula> mW m<inline-formula><mml:math id="M189" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (NC01) to 33.1 mW m<inline-formula><mml:math id="M190" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (FL01),
with 22 sites being statistically significant at the 95 % confidence level. For the OMI
Noon_FS EDR comparison, the correlation changes from 0.66 (FL01) to
0.94 (CA01), the NMB increases from <inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.39</mml:mn></mml:mrow></mml:math></inline-formula> % (AZ01) to 19.3 % (FL01) and the
MB increases from <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.66</mml:mn></mml:mrow></mml:math></inline-formula> mW m<inline-formula><mml:math id="M193" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (AZ01) to 33.0 mW m<inline-formula><mml:math id="M194" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (FL01),
with 21 sites showing statistical significance at the 95 %
confidence level. Also, generally larger standard deviation in the ratio
between OMI and ground EDR data is found in the solar noon time comparison
(Table S3). Overall, the site at Florida (Fig. 2c and d) shows the worst
performance while the site at Davis, CA, shows the best performance.</p>
      <p id="d1e3725">The various degrees of biases in evaluating OMI EDR reflect the influence of
the regional and local differences of air pollution such as aerosol loadings
and meteorology across the US. We will use the OMI
Noon_FS EDR comparison to discuss the potential regional
influence. In the southeast, sites (FL01, LA01, GA01, MS01) show smaller
correlation (0.66–0.85) and larger biases – higher than 10 %. The southeast US
is characterized by heavy air pollution and high humidity, which would
affect clouds and aerosol loadings. Some sites (ME01, MD01, ON01, VT01) in
the northeast also shows higher bias above 7 %. The northeast region is
also subject to heavy local air pollution. Two sites (IN01, MN01) in the
Midwest also show higher bias above 7 %, which could be due to the
regional air pollution. A few sites (AZ01, NM01, CA01) in the southwest show
smaller bias, which is partially attributed to the dry and less cloudy
conditions. In addition, AZ01 and NM01 are located at higher altitude with
much cleaner air. As a result, smaller negative biases are found in these
two sites. CA21, TX21 and TX41 have biases of 11 %, 7 % and 15 %, which
is very likely driven by the local air pollution and possible pollution
transport from Mexico. Sites such as UT01, MT01, WA01 and OK01 located in
the Pacific Northwest, Rocky Mountains and the central Great Plains region
generally have a smaller bias of less than 5 % except for NE01. The spatial
variability of OMI EDR biases found in our work is also similar to the work
of Xu et al. (2010) which evaluated TOMS spectral UV irradiance with
ground measurements at 27 climatological sites from UVMRP in the
continental US. These discrepancies can be<?pagebreak page2172?> related to several factors such as
the method of collocating OMI data with ground observation spatially and
temporally, clouds in the atmosphere, and the assumption of constant
atmospheric conditions between OMI overpass time and local solar noon time,
which are discussed in the following sections.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p id="d1e3730">Frequency of the surface EDR at the solar noon time for OMI <bold>(a)</bold>
and 31 ground observational sites <bold>(b)</bold> for year 2005–2017. All the data
pairs are matched with <inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> km and <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> min.
<bold>(c)</bold> shows the cumulative distribution functions (CDFs) of surface EDR from both OMI and
31 ground observational sites over 2005–2017. The maximum differences between
OMI and ground observational CDFs are shown in the horizontal dashed lines and
their values are shown as the labels. <bold>(d–f)</bold> are contour plots of
normalized frequency of surface EDR from OMI and ground Noon_FS EDR as well as
ground peak for 31 ground sites. The ground peak refers to the
highest dose rate found in a day at each site. The normalized frequency is
calculated as follows: first, the surface EDRs from both OMI and ground
observation are binned by 25 mW m<inline-formula><mml:math id="M197" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for each year and then normalized
by the total number of data points for each year. A smooth effect at the contour
line was also performed.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/2165/2019/acp-19-2165-2019-f04.png"/>

        </fig>

      <p id="d1e3792">To further show how well OMI surface EDR represents the ground observational
EDR, the frequency of both OMI and ground EDR is shown (Fig. 4). First, we
find that the distribution of surface EDR at solar noon time from both OMI and
ground observational data shows two peaks, one around 20 mW m<inline-formula><mml:math id="M198" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and the
other one around 200 mW m<inline-formula><mml:math id="M199" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. A similar distribution with two peaks is
also found for OMI and ground EDR at overpass time, which are not shown here.
These two peaks are largely due to the SZA effects (Wang and Christopher,
2006). Figure 4c shows the calculated CDFs for OMI and ground
OP_FS and Noon_FS EDR as well as the maximum
difference between EDRs at the corresponding time. The critical value for
both comparisons is 0.087 to verify that the two CDFs show a good fit at
the 99 % confidence level. From Fig. 4c, we can see that both of the
maximum differences are smaller than the critical values at the 99 %
confidence level. Therefore, the null hypothesis (OMI surface EDR and ground-observed EDR were drawn from the same distribution) will not be rejected.
This good fit between OMI and ground EDR distribution for both solar noon
time and overpass time again confirms the good correlation found between
these two datasets.</p>
      <p id="d1e3819">In order to better understand the variability of surface UV, we also study
the peak UV frequency inferred from ground observation along with OMI and
ground Noon_FS EDR frequency. The peak UV is calculated as
the highest dose rate found in a day at each site. As seen in Fig. 4d–f,
all of the OMI Noon_FS, ground Noon_FS and
ground peak data show a high frequency at the lower end of surface EDR
(<inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> mW m<inline-formula><mml:math id="M201" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), which also reflects the smaller peak found in
Fig. 4a and b. Moreover, this high frequency of occurrence persisted
from 2005 to 2017 for all datasets. In addition, both OMI and ground
Noon_FS EDR show another high frequency of surface EDR
around 200 mW m<inline-formula><mml:math id="M202" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> corresponding to the other peak in Fig. 4a and b.
However, the OMI Noon_FS data show a stronger and<?pagebreak page2173?> more
persistent frequency than that of ground Noon_FS data.
Additionally, the ground peak values find a high frequency around
<inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">220</mml:mn></mml:mrow></mml:math></inline-formula> mW m<inline-formula><mml:math id="M204" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Fig. 4f). The high-frequency occurrence
of <inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">220</mml:mn></mml:mrow></mml:math></inline-formula> mW m<inline-formula><mml:math id="M206" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in ground measurements prevailed until 2015
and, at the same time, we find the frequency of higher surface EDR from
ground peak of <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">300</mml:mn></mml:mrow></mml:math></inline-formula> mW m<inline-formula><mml:math id="M208" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> starts to increase around 2014.
This increase in the occurrence of peak UV irradiance could have
potential implications for human exposure and subsequent health effects,
which is beyond the scope of this study. The contrast between Fig. 4e
and f suggests that the peak of surface UV irradiance may not always occur
during the solar noon time, reflecting the change of meteorology during the
day and suggesting the need for multiple observations per day.</p>
</sec>
<?pagebreak page2174?><sec id="Ch1.S4.SS2">
  <title>Impacts of spatial collocation and temporal averaging</title>
      <p id="d1e3929">Table S2 summarizes the regression statistics and other validation
statistics of evaluating OMI OP_FS and Noon_FS
EDR with different spatial collocation distances (<inline-formula><mml:math id="M209" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula>) and temporal averaging
windows (<inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula>), respectively. We find that the length of temporal
averaging windows seems to play a more important role in the overall
comparison results than the spatial colocation distance. Figure 3c–e
shows that most of the dots representing the OMI OP_FS EDR
evaluation on the Taylor diagram move closer to the expected point as
<inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> increases from <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> min. The same
progression is also found for the OMI Noon_FS EDR evaluation,
which is not shown here. Figure 3f further shows that the
correlation of the OMI OP_FS and Noon_FS EDR evaluation increases as
<inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> changes from <inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> min. In addition, the
RMSE decreases by 12 % for both data comparisons when <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> increases
from <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> min. The improvement with a longer temporal
averaging window for overpass time under full sky is also found by
Zempila et al. (2016).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p id="d1e4042">Frequency of the EDR ratio of Noon_FS <inline-formula><mml:math id="M220" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OP_FS. <bold>(a, b)</bold> are
for the OMI and ground ratio, respectively. All the data pairs are matched with
<inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> km and <inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mo>±</mml:mo></mml:mrow></mml:math></inline-formula>5 min for the 31 ground sites.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/2165/2019/acp-19-2165-2019-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS3">
  <title>Impacts of the assumption of constant atmospheric conditions</title>
      <p id="d1e4093">As described in Sect. 2.1, the current surface UV algorithm assumes the same
atmospheric conditions at OMI overpass time and the local solar noon time
regarding cloudiness, total column ozone and atmospheric aerosol loadings
but with different SZAs. However, this assumption may not hold all the time
for the real atmosphere. We take the ratio between Noon_FS
and OP_FS EDR (Noon_FS <inline-formula><mml:math id="M223" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OP_FS)
from both OMI and ground data as an indicator of the variation of
atmospheric conditions between these two times. Figure 5 shows the frequency
of this ratio from both OMI and ground data obtained with <inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> km and
<inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> min. Both ratios show the same median of 1.12;
however, the ground ratio shows a larger mean (1.38 vs. 1.18) and<?pagebreak page2175?> standard
deviation. The mean of 1.18 in the OMI ratio data reflects the effects of
SZAs while the larger mean of 1.38 obtained from ground data implies the
impacts from air pollution and meteorology. The scatter plot (Fig. 6a) of
the ground ratio and OMI ratio further shows the discrepancy. Overall,
approximately 95 % of the OMI data fall into the area with the ratio
greater than 1, again reflecting the large effects of SZA, while 22 % of
ground data show a ratio smaller than 1, reflecting the influence of
short-term variability of local atmospheric conditions such as clouds, which
can override the effect of SZA. The frequency of ground ratio less than 1
also varies at individual sites (Table S3). We find that the frequency at
site AZ01, CA01, CA21 and NM01 is among the smallest, below 15 %. As
mentioned in Sect. 4.1, these sites are located in the southwest with
prevailing dry climate and as a result the effects of clouds are much
smaller. Also, sites AZ01 and NM01 are located at higher altitude with
cleaner air and, subsequently, the effects from air pollution are minimal.
The frequency exceeds 15 % at the rest of the sites, with VT01 showing the
maximum of <inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">32</mml:mn></mml:mrow></mml:math></inline-formula> %, which are most likely affected by air
pollution. These findings indicate the current OMI surface UV algorithm may
not fully capture the real atmosphere by assuming constant atmospheric
conditions between satellite overpass time and the local solar noon time.</p>
      <p id="d1e4141">We further investigate the possible seasonal effects on this ratio. As can
be seen in Fig. 6b, the mean and median ratio (Noon_FS <inline-formula><mml:math id="M227" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OP_FS) from OMI are greater than those from the ground
observational data throughout the year except for January, which again
indicates the potential overestimation of OMI Noon_FS EDR
using constant atmospheric conditions. Furthermore, the discrepancy between
these two ratios stays consistent in the spring and summer time. The smaller
SZA in the summer time would have relatively smaller effects and the
difference in these ratios could be largely affected by the varying
atmospheric conditions between local solar noon time and OMI overpass time.
However, this discrepancy becomes larger in the fall and winter time, which
could be the result of the elevated SZA towards winter time in North America
to some extent. The larger SZA (<inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M229" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) in the
colder times could increase the radiation path in the atmosphere, which would
thereby amplify the atmospheric interaction with the solar radiation.
Besides, other seasonal variables such as the climatological albedo used in
the current OMI surface UV algorithm could potentially play a role in the
deviation between OMI and ground data. In addition, the ratio from both OMI
and ground observational data shows larger variation in the fall and winter
season than its respective summer season, implying the impacts of the SZA
seasonal variation on both OMI and observational data.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p id="d1e4171">(a) is the scatter plot of the EDR ratio of Noon_FS <inline-formula><mml:math id="M230" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OP_FS between
OMI and ground measurements for 31 sites. All the data pairs are matched with
<inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> km and <inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> min. Also shown on the scatter plot are the
number of collocated data points (<inline-formula><mml:math id="M233" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>), the density of points (the color bar)
and the <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> line (the solid black line). Note the scale difference between
<inline-formula><mml:math id="M235" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M236" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis. <bold>(b)</bold> is the monthly EDR ratio of Noon_FS <inline-formula><mml:math id="M237" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OP_FS
from OMI (blue) and ground measurements (orange) for 31 sites. The box–whisker
plots show the 5th and 95th percentiles (whisker), the interquartile range (box),
the median (black line) and the mean (the dots).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/2165/2019/acp-19-2165-2019-f06.png"/>

        </fig>

      <p id="d1e4259">The SZA seasonal variation could subsequently affect the difference between
OMI and ground data, which will be analyzed in this section. Several
previous studies have investigated the effects of SZA on the difference
between OMI and ground observational irradiance. Buchard et al. (2008)
found that OMI spectral UV irradiance on clear-sky days showed a larger
discrepancy at SZA greater than 65<inline-formula><mml:math id="M238" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. Kazadzis et al. (2009a)
found no systematic dependence of the difference between OMI and
ground observational spectral UV irradiance on SZA. By sorting data based on
cloud and aerosol conditions, Antón et al. (2010) showed that
the relative difference between OMI and ground irradiance decreases modestly
with SZA for all-sky conditions except for days with high aerosol loadings.
Zempila et al. (2016) suggested a small dependence of the ratio
(OMI <inline-formula><mml:math id="M239" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> ground UV irradiance) on SZA under both clear-sky and all-sky
conditions. For the all-sky condition, the ratio increases steadily with
increasing SZA up to 50<inline-formula><mml:math id="M240" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and becomes larger than 1 after
50<inline-formula><mml:math id="M241" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. Similar to these previous works, we also find that the
impacts of SZA could cause various levels of biases in evaluating OMI EDR
depending on locations (Fig. S1 in the Supplement and Fig. 7). As seen from Fig. S1, the mean
bias for the OMI Noon_FS EDR comparison is larger than the OP_FS comparison at most sites for both smaller SZAs (SZA <inline-formula><mml:math id="M242" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 50<inline-formula><mml:math id="M243" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) and larger SZAs
(50<inline-formula><mml:math id="M244" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M245" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> SZA <inline-formula><mml:math id="M246" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 75<inline-formula><mml:math id="M247" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>). For some sites in higher latitudes such as ND01
and WA01, the mean biases at larger SZAs are smaller than those at smaller
SZAs because the frequency of negative bias increases at larger SZAs.</p>
      <p id="d1e4346">Clouds also play an important role in the difference between OMI and ground
observational UV irradiance. Buchard et al. (2008) found that the
relative difference<?pagebreak page2176?> between OMI and ground EDR was associated with COT at
360 nm retrieved from OMI and the difference is more appreciable for large
COT. Tanskanen et al. (2007) showed that the distribution of the OMI and
ground EDD ratio widens with increasing COT. Antón et al. (2010)
used OMI-retrieved LER at 360 nm as a proxy for cloudiness and showed that
the relative difference of OMI and ground EDR increased largely at higher
LER values. Here, we find that the relative bias for OMI OP_FS
EDR is more obvious at larger COT values as well (Fig. 7c). In
addition, the noise of the bias gets larger at higher COT values. One of the
reasons could be that the OMI surface UV algorithm uses the average of a pixel
to represent the cloudiness in that specific pixel. In reality, the spatial
distribution of cloudiness in that pixel could vary a lot, which could result
in the large difference in surface UV irradiance between the OMI pixel and
the ground observational site.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p id="d1e4351">Scatter plots of the relative bias (%) between OMI and ground
observational EDR and the OMI overpass time SZA or COT (360 nm).
<bold>(a, c)</bold> are for OMI OP_FS bias while <bold>(b)</bold> is for Noon_FS bias.
All the data pairs are matched with <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> km and <inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> min for
31 ground sites. The box–whisker plot of the bias on <bold>(a, b)</bold> is based
on the binned SZA using a bin size of 5<inline-formula><mml:math id="M250" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. The box–whisker plots show
the 5th and 95th percentiles (whisker), the interquartile range (box), the
median (red line) and the mean (green dots).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/2165/2019/acp-19-2165-2019-f07.png"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S4.SS4">
  <title>Trend analysis</title>
      <p id="d1e4415">EDR is the weighted solar irradiance from 300 to 400 nm which covers the UVB
range that is greatly affected by the atmospheric ozone column. In addition,
both UVA and UVB could be affected by the cloud cover and aerosol loadings
in the atmosphere. Thus, trends in surface EDR could be a result of the
combined effects of the aforementioned different factors and it would be
challenging to attribute the trend to any individual factor quantitatively.
Therefore, we focus on providing a descriptive summary of surface EDR trends
derived from both OMI and ground observation.</p>
      <p id="d1e4418">We first analyze the surface EDR trend using OMI level 3 data. We find that
OMI full-sky solar noon EDR data show a positive trend in most of the
places; but the only significant trend (95 % confidence level) was found
in parts of the northeastern US (Fig. 8b). A similar distribution of the
trend is found in OMI level 3 full-sky spectral irradiance at 310<?pagebreak page2177?> nm
(Fig. 8d). We also analyzed the trend of OMI level 3 clear-sky EDR and total
column ozone amount (Fig. S2c) and found no significant trend in either
dataset. This could suggest that the contribution of ozone column to the
estimated trend of OMI full-sky EDR is minimal. Furthermore, significant
trends in OMI level 3 full-sky spectral irradiance at 380 nm are found in the
northeast (Fig. 8e) and no significant trends of OMI level 3 COT are found
(Fig. S2b), indicating the estimated trend could be largely induced by the aerosols.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p id="d1e4423"><bold>(a)</bold> is the distribution of the OMI level 3 solar noon time
full-sky EDR trend over 2005–2017 overlaid with the trend at 31 ground sites
calculated with <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> km and <inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> min around local solar noon
time. <bold>(b)</bold> is the same as <bold>(a)</bold> but only showing the areas and
sites that are significant at the 95 % confidence level. <bold>(c)</bold> shows
the distribution of the trend at ground sites (significant at the 95 %
confidence level), computed with <inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> km and temporally averaging all the
data available in a day. <bold>(d, e)</bold> show the areas with significant trends
of OMI level 3 solar noon time full-sky spectral irradiance at 310 and
380 nm, respectively. <bold>(a–e)</bold> share the same color bar and the trend shown is
the percentage change (%) per year. <bold>(f)</bold> shows the significant trend
at the 95 % confidence level for OMI level 3 AAOD at 388 nm. The trend is
calculated as 100 <inline-formula><mml:math id="M254" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> AAOD/year.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/2165/2019/acp-19-2165-2019-f08.png"/>

        </fig>

      <p id="d1e4500">In contrast to trends derived from OMI data, ground observation shows
different trend patterns using two different sampling methods. For both
methods, only months with more than 20 days of data are used for trend
analysis and considered missing values otherwise. The first method is to
average the ground observational data with <inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> km and <inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> min
around local solar noon time, denoted as once-per-day
sampling. A total of 16 of 31 sites is found to have significant trends at the
95 % confidence level (Fig. 8b). Seven sites have positive trends while
the rest of the 9 sites show negative trends. The second method averages all
the data in a day at each site, hereby referred to as all-per-day sampling.
We find that this method results in 14 sites with significant trends at the
95 % confidence level (Fig. 8c). Only 4 of the 14 sites have positive
trends, with the rest of the sites showing negative trends.</p>
      <p id="d1e4532">Both methods (e.g., once per day and all per day) find significant negative trends
for sites in the northeast and the Ohio River Valley region with the all-per-day
method showing smaller trends. Using the site IL01 as an example, Fig. S3
illustrates the difference between these two sampling methods. Both methods
could capture the seasonal variation of the surface EDR; however, the
magnitude of all-per-day sampling EDR is about 3 times smaller than that of
the once-per-day sampling, which is anticipated because the all-per-day
average is smaller than the once-per-day measurement around noon time. By
averaging all the daytime data, the all-per-day sampling method smooths out
the atmospheric conditions throughout the day. In contrast, the estimated
trend of OMI Noon_FS EDR at this site is not significant. In
addition, the ground measurements show increasing trends in the southern
Great Plains (Texas and Oklahoma), while we find significant increasing
trends from OMI AAOD at 388 nm (Fig. 8f) but no significant trends of OMI
AOD at 388 nm (Fig. S2a) are found in these regions. Zhang et al. (2017)
also found significant positive trends of OMI AAOD in this region,
largely caused by dust AAOD. However, the magnitude of these trends derived
from ground measurements is within the measurement uncertainty range. Given
these uncertainties in the surface measurements, no coherent and
scientifically sound trend can be drawn from OMI data products for EDR,
AOD, AAOD, COT, and column ozone amount (Fig. S2c) and ground observations.</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Conclusion and discussion</title>
      <p id="d1e4543">In this study, we evaluated the OMI surface erythemal irradiance at overpass
time and solar noon time for the period of 2005–2017 with 31 UVMRP ground
sites in the continental US. The OMI surface Noon_FS
EDR shows a meridional gradient with the EDR increasing from
<inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> mW m<inline-formula><mml:math id="M258" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in the northern US to <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">203</mml:mn></mml:mrow></mml:math></inline-formula> mW m<inline-formula><mml:math id="M260" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in the
southern US. The ground observational data could capture
this gradient well with EDR increasing from <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">73</mml:mn></mml:mrow></mml:math></inline-formula> mW m<inline-formula><mml:math id="M262" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
in the northern US to a maximum of <inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">190</mml:mn></mml:mrow></mml:math></inline-formula> mW m<inline-formula><mml:math id="M264" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at the southern sites.</p>
      <p id="d1e4635">The evaluation for OMI overpass time EDR shows better agreement with ground
measurements than that for solar noon time comparison. Both OMI
OP_FS and Noon_FS EDR comparisons show good
correlation with the counterparts from ground-based measurements, with
<inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.90</mml:mn></mml:mrow></mml:math></inline-formula> and 0.88, respectively, when inter-comparison is matched with <inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> km
and <inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> min; the correlation further increases
as <inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> increases to 30 min or 1 h. Both OMI OP_FS
and Noon_FS EDR overestimate the ground measurements by
8.0 and 8.9 mW m<inline-formula><mml:math id="M269" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively, and their RMSEs are 34.9 and 41.5 mW m<inline-formula><mml:math id="M270" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.
The biases also show large spatial variability. For both OMI
OP_FS and Noon_FS EDR comparisons, the NMB
varies from <inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> % to 20 % while the OMI Noon_FS
comparison shows larger MB. This suggests that the atmospheric condition
does not stay consistent even within an hour, underscoring the importance of
geostationary satellite measurements. The relatively large bias and RMSE in
magnitude for OMI Noon_FS EDR suggest the importance of
accounting for the variation of atmospheric conditions between solar noon and
satellite overpass time, which cannot be resolved by polar-orbiting
satellite measurements but future geostationary satellites such as TEMPO
(Tropospheric Emissions: Monitoring of Pollution) (Zoogman et al.,
2017), Sentinel-4 (Ingmann et al., 2012; Veihelmann et al., 2015) and
GEMS (Geostationary Environmental Monitoring Spectrometer) should be able to
resolve this issue.</p>
      <p id="d1e4723">We also extended the evaluation of OMI and ground EDR by comparing the PDFs
and CDFs as well as considering the peak UV density. First, both OMI and
ground EDR distributions show two peaks, one around 20 mW m<inline-formula><mml:math id="M272" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and another around
200 mW m<inline-formula><mml:math id="M273" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, mainly related to larger and smaller SZAs, respectively.
The K–S test shows that the OMI and ground EDR are from the same sample
distribution at the 99 % confidence level. Both OMI Noon_FS
EDR, ground Noon_FS EDR and ground peak show the
high-frequency occurrence of the smaller peak (<inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> mW m<inline-formula><mml:math id="M275" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)
over the period of 2005–2017. However, the other high-frequency occurrence
of ground noontime EDR (<inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula> mW m<inline-formula><mml:math id="M277" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) is not consistent
with the high frequency found in ground daily-peak values (<inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">220</mml:mn></mml:mrow></mml:math></inline-formula> mW m<inline-formula><mml:math id="M279" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>),
implying that the peak UV values in a day may not always
occur at the local solar noon time, thus highlighting the necessity for
finer temporal resolution data.</p>
      <?pagebreak page2178?><p id="d1e4817"><?xmltex \hack{\newpage}?>Ground-based continuous measurements were used to show the effects of
atmospheric variation on surface EDR. The ratio of OMI Noon_FS <inline-formula><mml:math id="M280" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OP_FS
EDR is greater than 1 for 95 % of the data points,
while the ratio derived from the ground-based data has a Gaussian
distribution, with 22 % of the data smaller than 1 and a mean value of 1.38. This
means that the assumption of a consistent cloudiness, column ozone amount
and aerosol loadings between these two times would lead to large positive
bias in the estimates of surface UV at solar noon time, which is revealed in
this study. Furthermore, we find that the OMI OP_FS EDR bias
shows various levels of dependence on the SZAs. Additionally, the OMI
OP_FS EDR bias shows slight dependence on COT. The error
distribution of the bias gets much wider at larger COT values. This error
statistic suggests the importance of multiple scattering by aerosols and
clouds in the radiative transfer model, which is overlooked in the radiative
transfer calculation for the current OMI's lookup table approach to
estimate surface UV. Lastly, because the current work deals with erythemal
irradiance data, the comparison of satellite and ground observational
erythemal irradiance at both satellite overpass and local solar noon time
could only provide us the overall combined effects of the varying
atmospheric conditions between these two times. The limitation is that it
would not provide quantitative information of the individual effect of the
atmospheric condition such as aerosol loadings on the transferability from
satellite overpass time to the local solar noon time. Additional comparison
of spectral irradiance such as in the work of Xu et al. (2010) would
help identify the specific cause. The current work by focusing on only
erythemal irradiance still shows the short-time variability from satellite
overpass time and local solar noon time. Again, future geostationary
satellite data (TEMPO and GEMS) combined with ground observational data
would help better understand the temporal and spatial variability of surface UV irradiance.</p>
      <p id="d1e4829">Lastly, we investigated the surface UV trend from both OMI and ground
observational data. The trend from ground data depends on sampling method.
The once-per-day sampling at noon time shows larger spatial variability in
the magnitude and signs of the trend while the all-per-day sampling shows
less variation in the magnitude. But, over the northeastern US, both
methods yield negative trends from the surface observations, while
significant positive trends were found from OMI full-sky data during solar
noon time. Furthermore, ground measurements and OMI data show significant
trends of surface UV in the southern Great Plains. However, the values of
trends are within the surface measurement uncertainties. Overall, there are
no scientifically sound and coherent trends among OMI data for aerosols,
clouds and ozone that can explain the surface UV trends revealed either by
OMI or ground-based estimates; these data also cannot reconcile trend
differences between the two estimates. Further studies of the trends in OMI
and ground-based spectral irradiances may help reveal more information of
the effects of total ozone amount on surface UV irradiance. Also, detailed
studies of aerosols trends may provide extra insights on the effects of
aerosols on the surface UV trends.</p>
</sec>

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

      <p id="d1e4836">OMI data are downloaded from <uri>https://disc.gsfc.nasa.gov</uri>
(last access: 30 January 2019). Ground observational data are download from
<uri>https://uvb.nrel.colostate.edu/UVB/uvb-dataAccess.jsf</uri> (last access:
21 January 2019). We thank both the OMI team and UVMRP for providing the data.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e4845">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-19-2165-2019-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-19-2165-2019-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution">

      <p id="d1e4854">HZ, LCG, CD and JZ prepared and analyzed the data. JW,
YL and NAK helped with the data analysis. JW, HZ and JZ designed the research.
All authors participated in the process of writing the manuscript.</p>
  </notes><notes notes-type="competinginterests">

      <p id="d1e4860">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e4866">The research was funded by NASA's Aura satellite program (managed by
Kenneth W. Jucks), Applied Sciences Program (grant no. NNX14AG01G, managed by John A. Haynes), and
Atmospheric Composition Modeling and Analysis Program (ACMAP managed by Richard Eckman).
The authors thank the OMI team for providing the surface UV and
aerosol products, which can be downloaded from the NASA Goddard Earth
Sciences (GES) Data and Information Services Center (DISC) (<uri>https://disc.gsfc.nasa.gov</uri>,
last access: 30 January 2019). We also thank the UVMRP for the ground
observational UV data, which are available at <uri>https://uvb.nrel.colostate.edu/UVB/uvb-dataAccess.jsf</uri>
(last access: 21 January 2019). We appreciate
Antti Arola from the Finnish Meteorological Institute for the helpful discussion
on the OMI surface UV algorithm.
<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: Stelios Kazadzis <?xmltex \hack{\newline}?>
Reviewed by: three anonymous referees</p></ack><ref-list>
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    <!--<article-title-html>Surface erythemal UV irradiance in the continental United States derived from ground-based and OMI observations: quality assessment, trend analysis and sampling issues</article-title-html>
<abstract-html><p>Surface full-sky erythemal dose rate (EDR) from the Ozone Monitoring
Instrument (OMI) at both satellite overpass time and local noon time is
evaluated against ground measurements at 31 sites from the US Department of
Agriculture's (USDA) UV-B Monitoring and Research Program (UVMRP) over the period of 2005–2017. We find that both OMI
overpass and solar noon time EDR are highly correlated with the measured
counterparts (with a linear correlation coefficient of 0.90 and 0.88,
respectively). Although the comparison statistics are improved with a longer
time window (0.5–1.0&thinsp;h) for pairing surface and OMI measurements, both OMI
overpass and local noon time EDRs have 7&thinsp;% overestimation that is larger
than 6&thinsp;% uncertainty in the ground measurements and show different levels
of dependence on solar zenith angle (SZA) and to lesser extent on cloud optical
depth. The ratio of EDR between local noon and OMI overpass time is often
(95&thinsp;% in frequency) larger than 1 with a mean of 1.18 in the OMI product;
in contrast, the same ratio from surface observation is normally distributed with 22&thinsp;%
of the times less than 1 and a mean of 1.38. This contrast in
part reflects the deficiency in the OMI surface UV algorithm that assumes
constant atmospheric conditions between overpass and noon time. The
probability density functions (PDFs) for both OMI and ground measurements of
noontime EDR are in statistically significant agreement, showing dual peaks
at  ∼ 20 and  ∼ 200&thinsp;mW&thinsp;m<sup>−2</sup>, respectively; the latter is lower
than 220&thinsp;mW&thinsp;m<sup>−2</sup>, the value at which the PDF of <i>daily</i> EDR from ground measurements
peaks, and this difference indicates that the largest EDR value for a given
day may not often occur at local noon. Lastly, statistically significant
positive trends of EDR are found in the northeastern US in OMI data, but
opposite trends are found within ground-based data (regardless of sampling
for either noontime or daily averages). While positive trends are
consistently found between OMI and surface data for EDR over the southern
Great Plains (Texas and Oklahoma), their values are within the uncertainty of
ground measurements. Overall, no scientifically sound trends can be found
among OMI data for aerosol total and absorbing optical depth, cloud optical
depth and total ozone to explain coherently the surface UV trends revealed
either by OMI or ground-based estimates; these data also cannot reconcile trend
differences between the two estimates (of EDR from OMI and surface observations). Future geostationary satellites with
better spatiotemporal resolution data should help overcome spatiotemporal
sampling issues inherent in OMI data products and therefore improve the
estimates of surface UV flux and EDR from space.</p></abstract-html>
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