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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-16-2719-2016</article-id><title-group><article-title>Global dimming and urbanization: did stronger negative SSR trends collocate with regions of population growth?</article-title>
      </title-group><?xmltex \runningtitle{Global dimming and urbanization}?><?xmltex \runningauthor{A.~Imamovic et~al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Imamovic</surname><given-names>Adel</given-names></name>
          <email>adel.imamovic@env.ethz.ch</email>
        <ext-link>https://orcid.org/0000-0003-0826-3510</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Tanaka</surname><given-names>Katsumasa</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9601-6442</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Folini</surname><given-names>Doris</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1398-4374</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wild</surname><given-names>Martin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-3619-7568</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Institute for Atmospheric and Climate Science, ETH Zürich, Switzerland</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>National Institute for Environmental Studies (NIES), Tsukuba, Japan</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Adel Imamovic (adel.imamovic@env.ethz.ch)</corresp></author-notes><pub-date><day>4</day><month>March</month><year>2016</year></pub-date>
      
      <volume>16</volume>
      <issue>5</issue>
      <fpage>2719</fpage><lpage>2725</lpage>
      <history>
        <date date-type="received"><day>31</day><month>July</month><year>2015</year></date>
           <date date-type="rev-request"><day>6</day><month>November</month><year>2015</year></date>
           <date date-type="rev-recd"><day>1</day><month>February</month><year>2016</year></date>
           <date date-type="accepted"><day>11</day><month>February</month><year>2016</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://acp.copernicus.org/articles/16/2719/2016/acp-16-2719-2016.html">This article is available from https://acp.copernicus.org/articles/16/2719/2016/acp-16-2719-2016.html</self-uri>
<self-uri xlink:href="https://acp.copernicus.org/articles/16/2719/2016/acp-16-2719-2016.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/16/2719/2016/acp-16-2719-2016.pdf</self-uri>


      <abstract>
    <p>Global dimming refers to the decrease in surface solar radiation (SSR)
observed from the 1960s to the 1980s at different measurement sites
all around the world. It is under debate whether anthropogenic
aerosols emitted from urban areas close to the measurement sites are
mainly responsible for the dimming. In order to assess this
urbanization impact on SSR, we use spatially explicit population
density data of 0.08<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution to construct population
indices (PI) at 157 high data quality sites. Our study extends
previous population-based studies by incorporating distance-weighting
as a simple aerosol diffusion model. We measured urbanization in the
surrounding of a site as the PI change from 1960 to 1990 and found no
negative correlation with the corresponding SSR trends from 1964 to
1989 for the 92 sites in Europe and Japan. For the 39 sites in China
the correlation coefficients are significant at the 5 % level and
reach around <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.35, while for the 26 remaining Asian, mostly Russian
sites the correlation coefficients reach around <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.55 at the 1 %
significance level. Results are similar, when the absolute levels of
PIs are taken as an indicator for urbanization.  Our findings call
into question the existence of an urbanization effect for the sites in
Europe and Japan, while such an effect cannot be ruled out for the
sites in Asia, especially in Russia.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Surface solar radiation (SSR) is the sum of direct and diffuse solar
radiation incident at the surface of the Earth.  Systematic and
widespread pyranometer-based measurements of SSR started in the
mid-twentieth century and were compiled in databases such as the
<?xmltex \hack{\mbox\bgroup}?>Global Energy Balance Archive (GEBA)<?xmltex \hack{\egroup}?> at ETH Zürich
<xref ref-type="bibr" rid="bib1.bibx2" id="paren.1"/>. From the 1960s to the 1980s the SSR underwent
a prominent negative trend which became known as the global dimming
<xref ref-type="bibr" rid="bib1.bibx9" id="paren.2"/>. It was first discovered at sites in Europe and
later worldwide <xref ref-type="bibr" rid="bib1.bibx3" id="paren.3"/>. The average SSR trend estimates (in
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">decade</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) for global land sites during that
period range between <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>2.3</mml:mn></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx5" id="paren.4"/> and <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>5.1</mml:mn></mml:mrow></mml:math></inline-formula>
<xref ref-type="bibr" rid="bib1.bibx11" id="paren.5"/>. A more detailed overview of trend estimates can be
found in Table 1 of the review by <xref ref-type="bibr" rid="bib1.bibx16" id="text.6"/>. The negative
trends started to reverse generally in the 1980s and marked the
beginning of a global brightening <xref ref-type="bibr" rid="bib1.bibx17" id="paren.7"/>. This study focuses
on the time period from the 1960s to the 1980s, which we refer to as
the dimming period.</p>
      <p>It is not completely understood what caused the global dimming. Apart
from an increasing cloudiness, one of the most prominent explanations
is an increasing aerosol optical depth (AOD) caused by rising global
anthropogenic aerosol emissions from the 1960s to the
1980s. Simultaneous and systematic measurements of SSR/AOD or
SSR/cloudiness during the dimming period are scarce. A few studies
available deliver regionally dependent findings: for example
<xref ref-type="bibr" rid="bib1.bibx8" id="text.8"/> showed for five sites in Europe and Japan with
simultaneous measurement of SSR and AOD that the aerosol direct and
indirect effects are equally responsible for changing
SSR. <?xmltex \hack{\mbox\bgroup}?><xref ref-type="bibr" rid="bib1.bibx7" id="text.9"/><?xmltex \hack{\egroup}?> used clear sky data and found that the cloud
cover effects are insignificant for the dimming over Europe. In
contrast to the sites in Europe, <xref ref-type="bibr" rid="bib1.bibx6" id="text.10"/> used lidar-based
measurements and showed that the AOD contributions to the dimming in
New Zealand are insignificant; from a record of sunshine hours an
increasing cloudiness was inferred and shown to be more consistent
with the observed SSR pattern. This consistency was also found in
Japan <xref ref-type="bibr" rid="bib1.bibx12" id="paren.11"/>.</p>
      <p>Speculations have arisen that global dimming is only due to local
pollution sources (i.e. a growing city or an industry plant) near the
measurement sites and not a larger-scale phenomenon
<xref ref-type="bibr" rid="bib1.bibx1" id="paren.12"/>. This idea of nearby settlements affecting
atmospheric measurements is commonly referred to as the
<italic>urbanization</italic> effect. However, even if aerosols had
a significant impact on SSR trends, it is not clear how far the effect
persists, i.e. whether the proximity to an aerosol emission source
determined the dimming trends. Due to the lack of fine-scale emission
data, an estimate of urbanization was restricted to the use of proxy
data, from which aerosol emissions could be inferred. Early approaches
therefore used data on population to assess potential urbanization
impacts on single sites, implicitly assuming that more people lead to
more emissions and hence a stronger urbanization impact.</p>
      <p><xref ref-type="bibr" rid="bib1.bibx3" id="text.13"/> found the sites with the strongest dimming to be
concentrated within the populated regions of the northern hemispheric
mid-latitudes. <xref ref-type="bibr" rid="bib1.bibx11" id="text.14"/> found no significant correlation
between the SSR measured at 854 sites in the years 1958, 1965, 1975,
1985, and 1992 and the corresponding population densities in the one
degree (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>≃</mml:mo><mml:mn>100</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>) grid surrounding these sites in the
year 2000. <xref ref-type="bibr" rid="bib1.bibx1" id="text.15"/> calculated the SSR trends 1964–1989 for
317 sites worldwide and compared them against the respective
population density in the one degree cell surrounding the measurement
site in the year 2000. They found a significant dimming only in the
group of GEBA sites surrounded by a cell with a population density
greater than 10 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and a significant correlation between
the strength of dimming and the population density in the year
2000. The group of sites in rural areas was found to have undergone an
insignificant change in SSR.  A more recent, but alternative approach
by <xref ref-type="bibr" rid="bib1.bibx14" id="text.16"/> using night-time light data of the year 2000 came
to opposite conclusions. Their analysis of 105 pairs of urban-rural
sites that were less than two degrees (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>≃</mml:mo><mml:mn>200</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>) apart
showed that the geographic proximity to an urban area had a small impact
on both mean and trend of SSR.</p>
      <p>The role of urbanization in affecting SSR during the global dimming
period has remained an open question. In particular, it is not clear
whether or not the population growth in the surroundings of a site
adequately explains the global dimming. This study tackles this
question by using a finer spatially explicit population data set
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>x</mml:mi><mml:mo>≃</mml:mo><mml:mn>10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>) to devise a population index
(PI). The PI of a site is the weighted mean of the population density
within a radius of 500 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> from the site
(Sect. <xref ref-type="sec" rid="Ch1.S2"/>). We extend the previous approaches that used
unweighted data on population <xref ref-type="bibr" rid="bib1.bibx11 bib1.bibx1" id="paren.17"/> in the
following ways. The SSR trends from 1964 to 1989 of 157 high-quality
GEBA sites in Asia, Europe, and Japan are compared against (a) the PI
changes from 1960 to 1990, (b) the PI in 2000, and (c) the unweighted
population density in the 0.08<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> cell containing the site in
the year 2000. The third approach is methodologically consistent with
previous studies <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx11" id="paren.18"/>, as argued in
Sect. <xref ref-type="sec" rid="Ch1.S3"/>. In doing so, we attempt to answer the question
whether the sites considered in this study show a correlation between
SSR trends and PI changes from 1960 to 1990 or a correlation between
SSR trends and absolute levels of PI in the year 2000. With our
analysis, we aim to contribute to the debate on whether global dimming
is influenced by urbanization.</p>
</sec>
<sec id="Ch1.S2">
  <title>Data and methods</title>
<sec id="Ch1.S2.SS1">
  <title>Surface solar radiation</title>
      <p>Data on annual average SSR since the 1960s were taken from the
GEBA. Measurement error estimates for annual mean SSR are 2 %
<xref ref-type="bibr" rid="bib1.bibx2" id="paren.19"/>. We selected the same high-quality sites as used in
the model data comparison by <xref ref-type="bibr" rid="bib1.bibx10" id="text.20"/> and retained sites with
at least 15 SSR annual averages in each 20-year time frame from 1960
to 1990. This was fulfilled by 39 sites in China, 47 sites in Europe, 45 sites in Japan,
22 sites in Russia, and four sites in North Korea, Macau, and Mongolia. The latter four sites
were aggregated with the Chinese and Russian sites into the group “Asia”.
The geographic distribution and the grouping of the 157 sites are shown in
Fig. 1.  For every GEBA site, the SSR trend for the period
1964–1989, i.e. the same period as used by <xref ref-type="bibr" rid="bib1.bibx1" id="text.21"/>, was
estimated using a bi-square regression.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Distribution of the 157 GEBA sites analysed in this
study. The group “Europe” consists of 47 sites (blue circles) and “Japan”
consists of 45 sites (red triangles). The 39 Chinese, 22 Russian and 4
remaining Asian sites were aggregated into the “Asia” group (green
squares).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/2719/2016/acp-16-2719-2016-f01.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p>Evolutions of the region-averaged PIs of the
sites in Asia, Europe and Japan for the scaling parameters <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mn mathvariant="normal">3</mml:mn></mml:math></inline-formula>
(from left to right).</p></caption>
          <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/2719/2016/acp-16-2719-2016-f02.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <title>Population data and the population index</title>
      <p>We used the global population density data of the History Database of
the Global Environment (HYDE), which is available at a spatial
resolution of approximately 0.08<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mo>≃</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>)
and a temporal resolution of 10 years for the years <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn>1960</mml:mn></mml:mrow></mml:math></inline-formula>, 1970,
1980, 1990, and 2000. Error estimates for population density per grid
cell are <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 % <xref ref-type="bibr" rid="bib1.bibx4" id="paren.22"/>.</p>
      <p>In order to compare the surroundings of different GEBA sites, we
converted the two dimensional population distribution around single
sites into PI values. The PI is the weighted mean of the population
density distribution within a radius of 500 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> from the site:
the weights are <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mi>d</mml:mi><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:msup><mml:mo>)</mml:mo><mml:mi>n</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> i.e. the inverse of the
distance between the measurement site and the population density cell
under consideration to the <inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>th power. Rationales for the choice of
<inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> values for this study are explained further below in the text. The
distance between a GEBA site at <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>s</mml:mi><mml:mo>=</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> and the
centre of a nearby cell at <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> with population
density <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">ρ</mml:mi><mml:mo>(</mml:mo><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is denoted as <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The distance is
a function of the respective spherical coordinates <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and can be looked up in
mathematical handbooks.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p>PI Change from 1960 to 1990 of the
sites vs. the SSR trend from 1964 to 1989 for the three regions (top to
bottom) and for the three scaling parameters <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> (left to right). The
correlation coefficients are indicated within the panels. The <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula>
indicates a significant correlation at the 5 % level. The dashed line
separates positive and negative SSR trends.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/2719/2016/acp-16-2719-2016-f03.pdf"/>

        </fig>

      <p>If <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mi>d</mml:mi><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:msup><mml:mo>)</mml:mo><mml:mi>n</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> is used for the weighting of the population density cell that contains the site, an
artificially large weight will result for cells whose centre is very close to the
measurement site. For consistency the population density cell
that contains the measurement site is not weighted with the inverse of the physical distance between
the site and the centre of the cell
to the <inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>th power <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mi>d</mml:mi><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:msup><mml:mo>)</mml:mo><mml:mi>n</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> but with the inverse of the spatial extent <inline-formula><mml:math display="inline"><mml:mi>l</mml:mi></mml:math></inline-formula> of the cell to the <inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>th power <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:msup><mml:mi>l</mml:mi><mml:mi>n</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> instead.
For the spatial extent <inline-formula><mml:math display="inline"><mml:mi>l</mml:mi></mml:math></inline-formula> of a population density cell we take the square
root of the area of the cell.  For cells in the mid-latitudes <inline-formula><mml:math display="inline"><mml:mi>l</mml:mi></mml:math></inline-formula> is approximately 7 km.</p>
      <p>We define the PI of
a GEBA site <inline-formula><mml:math display="inline"><mml:mi>s</mml:mi></mml:math></inline-formula> at the time <inline-formula><mml:math display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> as the sum of all weighted population
density grid cells within the <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn>500</mml:mn></mml:mrow></mml:math></inline-formula> km surrounding of the
site

                <disp-formula id="Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mtext>PI</mml:mtext><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi mathvariant="italic">η</mml:mi><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>y</mml:mi><mml:mo>:</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>d</mml:mi><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:mo>)</mml:mo><mml:mo>≤</mml:mo><mml:mi>R</mml:mi></mml:mrow></mml:munder><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="italic">ρ</mml:mi><mml:mo>(</mml:mo><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:msup><mml:mo>)</mml:mo><mml:mi>n</mml:mi></mml:msup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          <?xmltex \hack{\newpage}?>With the following definition of the normalization factor <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>:

                <disp-formula id="Ch1.E2" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mo>∑</mml:mo><mml:mrow><mml:mi>y</mml:mi><mml:mo>:</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>d</mml:mi><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:mo>)</mml:mo><mml:mo>≤</mml:mo><mml:mi>R</mml:mi></mml:mrow></mml:msub><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mi>d</mml:mi><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:msup><mml:mo>)</mml:mo><mml:mi>n</mml:mi></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

          the PI becomes dimensionless and equals one for a fictitious site
surrounded by a constant population density of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn>10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The value <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn>500</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> is chosen to reflect
the finite lifetime and hence finite diffusion distance of aerosols
and is obtained if one assumes a typical lifetime of 2 days at an
average diffusion speed of <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>v</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. We repeated the
analysis for PIs with <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn>750</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn>1000</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> and
found no significant differences in the results.</p>
      <p>The weighting <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mi>d</mml:mi><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:msup><mml:mo>)</mml:mo><mml:mi>n</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> mimics a simple aerosol transport and
diffusion model. By setting <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> one assumes undiluted transport of
all aerosols to the site. For <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> pure diffusion of a tracer in
three-dimensional space is assumed. Given these two bounds for <inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>, we
used the set <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> to calculate PIs. Note that for small <inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>, all
cells in the surrounding of the GEBA contribute almost equally to the
PI, as they receive almost equal weight. This can be seen
mathematically as <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> approaches unity for decreasing <inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>. More
precisely, a small <inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>≃</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) together with a small <inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>
corresponds to previous studies that only used the unweighted
population density in the one degree cell containing the site
<xref ref-type="bibr" rid="bib1.bibx1" id="paren.23"/>. For increasing <inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> the weight factors converge to
a <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>-function (which is zero everywhere except for the cell that
contains the site), the PI for large <inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> carries mainly information on
the closest settlements. The scaling parameter <inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> is thus a control
parameter, that enables us to test the relative importance of aerosol
travel distances.</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results</title>
      <p>For each GEBA site analysed in this study the PIs for <?xmltex \hack{\mbox\bgroup}?><inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula><?xmltex \hack{\egroup}?> and
for the years <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn>1960</mml:mn></mml:mrow></mml:math></inline-formula>, 1970, 1980, 1990, and 2000 were calculated.
The PIs of the GEBA sites averaged within the three regions Asia,
Europe, and Japan generally increased from 1960 to 2000 for <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:math></inline-formula>
and 3 (Fig. 2). The 65 sites in Asia showed an
average PI increase of 85 % from 1960 to 2000. The average
increase in PI for the sites in Japan is 20–30 %, while the
increase was slightly smaller for the European sites. The European
sites had both the smallest average increase in PI and the lowest
absolute PI (except in 1960 for <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>). The average increase of PI of
the sites in Europe and in Japan was similar for <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> (similar
slopes), while the absolute average PI was greater for the Japanese
sites.</p>
      <p>We investigated the impact of urbanization on SSR trends during the
dimming period by calculating the correlation coefficients for SSR
trends from 1964 to 1989 vs. the PI change from 1960 to 1990
(Fig. 3), and vs. the absolute PI in the
year 2000 (Fig. 4).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p> Same as in Fig. 3, but
for the absolute PI of the sites in the year 2000 instead of the PI change
from 1960–1990.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/2719/2016/acp-16-2719-2016-f04.pdf"/>

      </fig>

<sec id="Ch1.S3.SS1">
  <title>Europe and Japan</title>
      <p>The results for the sites in Europe and Japan are discussed together
since they show similar features (second and third row in
Fig. 3). The European sites underwent the
weakest decrease in SSR (over the time period from 1964 to 1989) with
a group average of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>0.17</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The largest
decrease measured at a site in the European group was
<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>0.56</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The average decrease in SSR for
the group of Japanese GEBA sites was
<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>0.30</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> The maximum dimming in the group of
Japanese sites was <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>1.44</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The
correlations between SSR trends and PI changes
(Fig. 3) for the sites in Europe and Japan
are positive and smaller than 0.33 for any choice of the scaling
parameter <inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>. It is important to note that the correlation
coefficients are not negative, as would be expected from an
urbanization impact: SSR trends are actually less negative for larger
PI change. They are significant at the 5 % level only for the
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> case in Europe, and for the <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> cases in Japan.  As shown in
Fig. 4 similar correlation
coefficients as in Fig. 3 emerge, when we
take the PIs of the sites in year 2000 instead of the change in PI
from 1960 to 1990. We obtained positive correlation coefficients at
a significance level of 5 %, except for Japan for <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>.</p>
      <p>For the 47 European and 45 Japanese sites considered in this study,
the SSR trends are not well explained by the respective change in
population or the absolute population in 2000.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>China and Russia</title>
      <p>The largest group-averaged SSR trends
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>0.55</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and the largest changes in PI
were reached at the GEBA sites in
Asia. Figure 3 shows the SSR trends and the
PI changes of the sites. Correlation coefficients for the changes in
PI vs. the SSR trends are <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.54, <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.41, and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.42 for <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> and
3, respectively, as shown in the first row of plots in
Fig. 3. We obtain quantitatively similar
correlation coefficients when we compare the SSR trends against the PI
in the year 2000, instead of the PI change from 1960 to 1990
(Fig. 4). Note that the largest
dimming of approximately <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>2.0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (lowest
point in row 1 of Figs. 3 and 4) does not coincide with
the site that exhibited the largest PI change or the largest PI in the
year 2000. The correlation coefficients for the 30 right-most points
in Fig. 3, i.e. the sites that underwent
the greatest increase in PI, and correlation coefficients for the 30
left-most points, i.e. the sites with the smallest increase in PI, are
both around <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">ρ</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn>0.30</mml:mn></mml:mrow></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p> Further split of the 65 Asian sites into
the 39 Chinese (darker green) and 26 non-Chinese, mostly Russian (22) sites
(lighter green). The first (second) row of plots shows the same as the first
row in Fig. 3 (Fig. 4). The corresponding correlation coefficients are
shown in the boxes. Significant correlations at the 5 % (1 %) level
are indicated with an <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>∗</mml:mo><mml:mo>∗</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/2719/2016/acp-16-2719-2016-f05.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p> Unweighted population density in
the 0.08<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> cell surrounding the sites in the year 2000 vs. the SSR
trend from 1964 to 1989 of the sites in the three regions. Significant
correlations at the 5 % (1 %) are indicated with <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>∗</mml:mo><mml:mo>∗</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>). The dashed line separates positive and negative SSR trends.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/2719/2016/acp-16-2719-2016-f06.pdf"/>

        </fig>

      <p>We split the group of the 65 Asian sites further into the 39 Chinese
sites and 26 non-Chinese, mostly Russian (22) GEBA sites
(Fig. 5) and repeated the above analysis. As
above, the correlation coefficients in these subgroups are
quantitatively the same whether one takes the PI change from 1960 to
1990 or the PI in the year 2000 as an indicator for urbanization. The
correlation coefficients for the non-Chinese sites are significant at
the 1 % level and range between <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>0.5</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>0.63</mml:mn></mml:mrow></mml:math></inline-formula>, while for the
Chinese sites the correlation coefficients range between <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>0.33</mml:mn></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>0.35</mml:mn></mml:mrow></mml:math></inline-formula> and are significant at the 5 % level.</p>
      <p>Similar correlation coefficients for the sites in Asia, Europe and
Japan (as documented above) are found when the unweighted population
density in the year 2000 in the 0.08<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> cell surrounding the
GEBA site is compared against the SSR
trends. Figure 6 shows that these
correlation coefficients are very close to the corresponding
correlation coefficients when the <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> PIs in the year 2000 are used
instead (third column in
Fig. 4). An explanation for
this can be found in Sect. <xref ref-type="sec" rid="Ch1.S2"/>.</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Discussions and conclusions</title>
      <p>Some studies argued that the observed negative SSR trends during the
global dimming period from the 1960s to the 1980s are restricted to
urban areas. In order to assess the urbanization impact on SSR,
previous studies used spatially explicit population density data in
the one degree cell surrounding the site in the year 2000
<xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx11" id="paren.24"/>. We extended these studies by comparing the
PI change from 1960 to 1990 of individual sites, calculated from a 10
times finer resolved population data set, against the SSR trend from
1964 to 1989 (i.e. the same period as in <xref ref-type="bibr" rid="bib1.bibx1" id="altparen.25"/>). The PI of
a GEBA site is the distance-weighted mean of the population
distribution within a radius of 500 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> from the site. Distance
weights are used to mimic a simple aerosol diffusion model.</p>
      <p>Overall we found positive but insignificant correlation coefficients
between the SSR trends and the change in PIs from 1960 to 1990 for the
GEBA sites in Europe and Japan. Note that an urbanization impact would
require a negative correlation. We conclude for the groups of sites in
Europe and Japan that urbanization measured as a population increase
in the surrounding of the site does not go hand in hand with
a stronger negative SSR trend. This is in line with the findings of
<xref ref-type="bibr" rid="bib1.bibx13" id="text.26"/> for the SSR measurement sites in Israel, where SSR
trends during the dimming period and the respective rates of change in
population were found to be unrelated. Our findings for Europe and
Japan are also consistent with the study by <xref ref-type="bibr" rid="bib1.bibx14" id="text.27"/>, who
showed that urbanization (inferred from night-time light data) had no
discernible impact on the SSR trends.
<?xmltex \hack{\newpage}?>
On the contrary our findings for the 92 sites in Europe and Japan are
not consistent with <xref ref-type="bibr" rid="bib1.bibx1" id="text.28"/>, who exclusively focused on
population density of the year 2000 as an urbanization indicator. The
present study does not discern an urbanization impact for the sites in
Europe and Japan, irrespective of the choice of indicators: PI changes
from 1960 to 1990, absolute PI in the year 2000 or population density
in the year 2000. In contrast to <xref ref-type="bibr" rid="bib1.bibx1" id="text.29"/> we furthermore
avoided aggregating sites into two single urban and rural groups, as
this may induce spurious biases in their average SSR trends due to the
different geographical distribution of the sites in the two groups
<xref ref-type="bibr" rid="bib1.bibx14" id="paren.30"/>.</p>
      <p>Unlike for the sites in Europe and Japan, the present study does not
preclude an urbanization impact for the sites in Asia. The
correlations for the 39 Chinese and 26 non-Chinese, mostly Russian
sites are negative and significant at the 5 % level. The
correlation coefficients (SSR trend vs. PI change from 1960 to 1990)
for the non-Chinese sites in Asia are the largest found and range from
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.5 to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.63. For the Chinese sites the correlation coefficients
range between <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.3 to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.34, while the average SSR trends there
are stronger than in the group of non-Chinese sites in Asia.</p>
      <p>Our findings suggest that changes in PI from 1960 to 1990 or absolute
levels of PI in the year 2000 (and hence any crude use of population
density) provide no convincing evidence that global dimming is mostly
an urban and hence local phenomenon for the sites in Europe and
Japan. However, an urbanization effect for the sites in China and,
particularly, for those in Russia cannot be ruled out. Particularly for the Chinese GEBA sites complementary
studies are necessary, given potential data inhomogeneity
and instrumentation issues which were recently reported by <xref ref-type="bibr" rid="bib1.bibx15" id="text.31"/>.</p>
      <p>Further research is required to clarify the importance of urbanization for SSR trends during the dimming period.
<?xmltex \hack{\newpage}?></p>
</sec>
<sec id="Ch1.Sx1" specific-use="unnumbered">
  <title>Data availability</title>
      <p>The SSR data and the population data used in this study are publicly
accessible. They were taken from <uri>www.geba.ethz.ch</uri> and
<uri>ftp://ftp.pbl.nl/hyde/</uri>, respectively.</p>
</sec>

      
      </body>
    <back><ack><title>Acknowledgements</title><p>We thank Gunnar Myhre and Atsumu Ohmura for the discussions that motivated this study.
We also thank Christoph Schär for continuous support. Katsumasa Tanaka is funded by a
Marie Curie Intra-European Fellowship within the 7th European Community Framework Programme (Proposal No. 255568 under FP7-PEOPLE-2009-IEF).<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>Edited by: S. Kloster</p></ack><ref-list>
    <title>References</title>

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2014.</mixed-citation></ref>
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Global dimming and brightening: a review,
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  </ref-list><app-group content-type="float"><app><title/>

    </app></app-group></back>
    <!--<article-title-html>Global dimming and urbanization: did stronger negative SSR trends collocate with regions of population growth?</article-title-html>
<abstract-html><p class="p">Global dimming refers to the decrease in surface solar radiation (SSR)
observed from the 1960s to the 1980s at different measurement sites
all around the world. It is under debate whether anthropogenic
aerosols emitted from urban areas close to the measurement sites are
mainly responsible for the dimming. In order to assess this
urbanization impact on SSR, we use spatially explicit population
density data of 0.08° resolution to construct population
indices (PI) at 157 high data quality sites. Our study extends
previous population-based studies by incorporating distance-weighting
as a simple aerosol diffusion model. We measured urbanization in the
surrounding of a site as the PI change from 1960 to 1990 and found no
negative correlation with the corresponding SSR trends from 1964 to
1989 for the 92 sites in Europe and Japan. For the 39 sites in China
the correlation coefficients are significant at the 5 % level and
reach around −0.35, while for the 26 remaining Asian, mostly Russian
sites the correlation coefficients reach around −0.55 at the 1 %
significance level. Results are similar, when the absolute levels of
PIs are taken as an indicator for urbanization.  Our findings call
into question the existence of an urbanization effect for the sites in
Europe and Japan, while such an effect cannot be ruled out for the
sites in Asia, especially in Russia.</p></abstract-html>
<ref-html id="bib1.bib1"><label>Alpert and Kishcha(2008)</label><mixed-citation>
Alpert, P. and Kishcha, P.:
Quantification of the effect of urbanization on solar dimming,
Geophys. Res. Lett.,
35, L08801,
doi:<a href="http://dx.doi.org/10.1029/2007GL033012" target="_blank">10.1029/2007GL033012</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>Gilgen and Ohmura(1999)</label><mixed-citation>
Gilgen, H. and Ohmura, A.:
The global energy balance archive,
B. Am. Meteorol. Soc.,
80, 831–850,
doi:<a href="http://dx.doi.org/10.1175/1520-0477(1999)080&lt;0831:TGEBA&gt;2.0.CO;2" target="_blank">10.1175/1520-0477(1999)080&lt;0831:TGEBA&gt;2.0.CO;2</a>, 1999.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>Gilgen et al.(1998)Gilgen, Wild, and Ohmura</label><mixed-citation>
Gilgen, H., Wild, M., and Ohmura, A.:
Means and trends of shortwave irradiance at the surface estimated from global energy balance archive data,
J. Climate,
114, 2042–2061,
doi:<a href="http://dx.doi.org/10.1175/1520-0442-11.8.2042" target="_blank">10.1175/1520-0442-11.8.2042</a>, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>Klein Goldewijk et al.(2010)Klein Goldewijk, Beusen, and Janssen</label><mixed-citation>
Klein Goldewijk, K., Beusen, A., and Janssen, P.:
Long-term dynamic modeling of global population and built-up area in a spatially explicit way: HYDE 3.1,
Holocene,
20, 565–573,
doi:<a href="http://dx.doi.org/10.1177/0959683609356587" target="_blank">10.1177/0959683609356587</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>Liepert(2002)</label><mixed-citation>
Liepert, B. G.:
Observed reductions of surface solar radiation at sites in the United States and worldwide from 1961 to 1990,
Geophys. Res. Lett.,
29, 61.1–61.4,
doi:<a href="http://dx.doi.org/10.1029/2002GL014910" target="_blank">10.1029/2002GL014910</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>Liley(2009)</label><mixed-citation>
Liley, J. B.: New Zealand dimming and brightening, J. Geophys. Res., 114,
D00D10,
doi:<a href="http://dx.doi.org/10.1029/2008JD011401" target="_blank">10.1029/2008JD011401</a>,
2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>Norris and Wild(2007)</label><mixed-citation>
Norris, J. R. and Wild, M.:
Trends in aerosol radiative effects over Europe inferred from observed cloud cover, solar “dimming,” and solar “brightening”,
J. Geophys. Res.,
112, D08214,
doi:<a href="http://dx.doi.org/10.1029/2006JD007794" target="_blank">10.1029/2006JD007794</a>, 2007.

</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>Ohmura(2009)</label><mixed-citation>
Ohmura, A.:
Observed decadal variations in surface solar radiation and their causes,
J. Geophys. Res.,
114, D00D05,
doi:<a href="http://dx.doi.org/10.1029/2008JD011290" target="_blank">10.1029/2008JD011290</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>Ohmura and Lang(1989)</label><mixed-citation>
Ohmura, A. and Lang, H.: Secular variation of global radiation in Europe, in:
IRS'88: Current Problems in Atmospheric Radiation, edited by: Lenoble, J. and
Geleyn, J.-F., A. Deepak, Hampton, VA, 298–301, 1989.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>Skeie et al.(2011)Skeie, Berntsen, Myhre, Tanaka, Kvalevåg, and Hoyle</label><mixed-citation>
Skeie, R. B., Berntsen, T. K., Myhre, G., Tanaka, K., Kvalevåg, M. M.,
and Hoyle, C. R.: Anthropogenic radiative forcing time series from
pre-industrial times until 2010, Atmos. Chem. Phys., 11, 11827–11857,
<a href="http://dx.doi.org/10.5194/acp-11-11827-2011" target="_blank">doi:10.5194/acp-11-11827-2011</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>Stanhill and Cohen(2001)</label><mixed-citation>
Stanhill, G. and Cohen, S.: Global dimming: a review of the evidence for a
widespread and significant reduction in global radiation with discussion of
its probable causes and possible agricultural consequences, Agr. Forest
Meteorol., 107, 255–278,
doi:<a href="http://dx.doi.org/10.1016/S0168-1923(00)00241-0" target="_blank">10.1016/S0168-1923(00)00241-0</a>,
2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>Stanhill and Cohen(2008)</label><mixed-citation>
Stanhill, G. and Cohen, S.: Solar radiation changes in Japan during the 20th
century: evidence from sunshine duration measurements, J. Meteorol. Soc.
Jpn., 86, 57–67,
doi:<a href="http://dx.doi.org/10.2151/jmsj.86.57" target="_blank">10.2151/jmsj.86.57</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>Stanhill and Cohen(2009)</label><mixed-citation>
Stanhill, G. and Cohen, S.: Is solar dimming global or urban? Evidence from
measurements in Israel between 1954 and 2007, J. Geophys. Res., 114,
2156–2202,
doi:<a href="http://dx.doi.org/10.1029/2009JD011976" target="_blank">10.1029/2009JD011976</a>,
2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>Wang et al.(2014)Wang, Ma, Wang, and Wild</label><mixed-citation>
Wang, K., Ma, Q., Wang, X., and Wild, M.: Urban impacts on mean and trend of
surface incident solar radiation, Geophys. Res. Lett., 41, 4664–4668,
doi:<a href="http://dx.doi.org/10.1002/2014GL060201" target="_blank">10.1002/2014GL060201</a>,
2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>Wang et al.(2015)Wang, Ma, Li and Wang</label><mixed-citation>
Wang, K., Ma, Q., Li, Z., and Wang, J.: Decadal variability of surface
incident solar radiation over China: Observations, satellite retrievals, and
reanalyses, Geophys. Res. Atmos., 120, 6500–6514,
doi:<a href="http://dx.doi.org/10.1002/2015JD023420" target="_blank">10.1002/2015JD023420</a>,
2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>Wild(2009)</label><mixed-citation>
Wild, M.:
Global dimming and brightening: a review,
J. Geophys. Res.,
114, D00D16,
doi:<a href="http://dx.doi.org/10.1029/2008JD011470" target="_blank">10.1029/2008JD011470</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>Wild et al.(2005)Wild, Gilgen, Roesch, Ohmura, Long, Dutton, Forgan, Kallis, Russak, and Tsevetkov</label><mixed-citation>
Wild, M., Gilgen, H., Roesch, A., Ohmura, A., Long, C. N., Dutton, E. G., Forgan, B., Kallis, A., Russak, V., and Tsevetkov, A.:
From dimming to brightening: decadal changes in solar radiation at Earth's surface,
Science,
308, 847–850,
doi:<a href="http://dx.doi.org/10.1126/science.1103215" target="_blank">10.1126/science.1103215</a>, 2005.
</mixed-citation></ref-html>--></article>
