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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-16-6785-2016</article-id><title-group><article-title>Vertical and horizontal variability of PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> source contributions<?xmltex \hack{\newline}?> in
Barcelona during SAPUSS</article-title>
      </title-group><?xmltex \runningtitle{Vertical and horizontal variability of PM${}_{{10}}$}?><?xmltex \runningauthor{M. Brines et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Brines</surname><given-names>Mariola</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Dall'Osto</surname><given-names>Manuel</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Amato</surname><given-names>Fulvio</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Cruz Minguillón</surname><given-names>María</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5464-0391</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Karanasiou</surname><given-names>Angeliki</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Alastuey</surname><given-names>Andrés</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5453-5495</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Querol</surname><given-names>Xavier</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Environmental Assessment and Water Research (IDÆA)
Consejo Superior de Investigaciones <?xmltex \hack{\newline}?>Científicas (CSIC), C/Jordi Girona
18-26, 08034 Barcelona, Spain</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Astronomy and Meteorology, Faculty of Physics, University
of Barcelona, C/Martí i Franquès 1,<?xmltex \hack{\newline}?> 08028 Barcelona, Spain</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institute of Marine Sciences (ICM) Consejo Superior de Investigaciones
Científicas (CSIC), Pg. Marítim <?xmltex \hack{\newline}?>de la Barceloneta 37-49, 08003
Barcelona, Spain</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">M. Brines (mariola.brines@idaea.csic.es)</corresp></author-notes><pub-date><day>6</day><month>June</month><year>2016</year></pub-date>
      
      <volume>16</volume>
      <issue>11</issue>
      <fpage>6785</fpage><lpage>6804</lpage>
      <history>
        <date date-type="received"><day>2</day><month>November</month><year>2015</year></date>
           <date date-type="rev-request"><day>26</day><month>November</month><year>2015</year></date>
           <date date-type="rev-recd"><day>15</day><month>March</month><year>2016</year></date>
           <date date-type="accepted"><day>17</day><month>March</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/16/6785/2016/acp-16-6785-2016.html">This article is available from https://acp.copernicus.org/articles/16/6785/2016/acp-16-6785-2016.html</self-uri>
<self-uri xlink:href="https://acp.copernicus.org/articles/16/6785/2016/acp-16-6785-2016.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/16/6785/2016/acp-16-6785-2016.pdf</self-uri>


      <abstract>
    <p>During the SAPUSS campaign (Solving Aerosol Problems by Using Synergistic
Strategies) PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> samples at 12-hour resolution were simultaneously
collected at four monitoring sites located in the urban agglomerate of
Barcelona (Spain). A total of 221 samples were collected from 20 September
to 20 October 2010. The Road Site (RS) site and the Urban Background (UB)
site were located at street level, whereas the Torre Mapfre (TM) and the
Torre Collserola (TC) sites were located at 150 m a.s.l. by the sea side
within the urban area and at 415 m a.s.l. 8 km inland, respectively. For the
first time, we are able to report simultaneous PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> aerosol
measurements, allowing us to study aerosol gradients at both horizontal and
vertical levels. The complete chemical composition of PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> was
determined on the 221 samples, and factor analysis (positive matrix
factorisation, PMF) was applied. This resulted in eight factors which were
attributed to eight main aerosol sources affecting PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> concentrations
in the studied urban environment: (1) vehicle exhaust and wear
(2–9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, 10–27 % of PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> mass on average), (2) road dust (2–4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, 8–12 %),
(3) mineral dust (5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, 13–26 %),
(4) aged marine (3–5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, 13–20 %), (5) heavy oil (0.4–0.6 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, 2 %), (6) industrial
(1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, 3–5 %), (7) sulfate (3–4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, 11–17 %) and (8) nitrate (4–6 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
17–21 %). Three aerosol sources were found to be enhanced at the
ground levels (confined within the urban ground levels of the city) relative
to the upper levels: (1) vehicle exhaust and wear (2.8 higher), (2) road
dust (1.8 higher) and (3) local urban industries/crafts workshops (1.6
higher). Surprisingly, the other aerosol sources were relatively homogeneous
at both horizontal and vertical levels. However, air mass origin and
meteorological parameters also played a key role in influencing the
variability of the factor concentrations. The mineral dust and aged marine
factors were found to be a mixture of natural and anthropogenic components
and were thus further investigated. Overall, three types of dust were
identified to affect the urban study area: road dust (35 % of the mineral
dust load, 2–4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> on average), Saharan dust (28 %, 2.1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and background mineral dust
(37 %, 2.8 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Our
results evidence that although the city of Barcelona broadly shows a
homogeneous distribution of PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> pollution sources, non-exhaust
traffic, exhaust traffic and local urban industrial activities are major
coarse PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> aerosol sources.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>The study of ambient particulate matter (PM) concentrations in urban
environments is of particular interest due to its adverse effects on human
health (Pope and Dockery, 2006; Pope et al., 2009; Lim et al., 2012).
However, the identification and quantification of PM sources – the basis for
the design of mitigation strategies – remains challenging due to their
complex nature. Indeed, aerosols have multiple sources, and emissions from
the same source will change with time and operating conditions. Source
apportionment of airborne particulate matter has assumed increasing
importance in recent years (Viana et al., 2008; Beddows et al., 2015). This
is because current legislation has highlighted the need for reliable
quantitative knowledge of the source apportionment of particulate matter in
order to devise cost-effective abatement strategies. To apportion PM
sources, many tools have been used for their identification and
quantification (Viana et al., 2008). Chemical speciation of ambient PM
coupled to receptor modelling is currently considered one of the most
powerful tools for this purpose (Srimuruganandam and Shiva Nagendra, 2012;
Waked et al., 2014). Within factor analytical models, the positive matrix
factorisation (PMF) model is highly recommended when sources are not formally
known (Paatero and Tapper, 1994). PMF has been used in many studies dealing
with air pollution in urban areas in America, Europe, and Asia. Many sources
such as road transport, industrial emissions, sea salt, and crustal dust
were identified using this method (Viana et al., 2008). Apportioning
correctly the sources of airborne particulate matter is important because
there are most likely differences in the toxicity of particles according
to their chemical composition. In other words, PM from different sources may
have a very different potency in affecting human health (Kelly and Fussell,
2012).</p>
      <p>Urban PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> concentrations show significant variability across Europe.
In northern European countries, the road dust originated by pavement
abrasion due to the use of studded tyres (Norman and Johansson, 2006), high
sea salt concentrations in the coastal areas (Yin et al., 2005) and the use
of biomass burning for heating purposes are significant sources of PM
(Puxbaum et al., 2007). By contrast, in southern European countries – due to
the drier climate conditions – mineral dust, resuspension and Saharan dust
outbreaks substantially contribute to PM concentrations (Putaud et al.,
2010; Kassomenos et al., 2014; Amato et al., 2016). Broadly, the elevated
concentrations usually observed in southern Europe are attributed to the
combination of diverse emission sources including industry, traffic,
resuspended dust, shipping emissions and African dust outbreaks. Recently, a
huge effort has been made in assessing the PM trends in the Mediterranean
Basin, including the MED-PARTICLES project (Karanasiou et al., 2014) and the
AIRUSE LIFE project (Amato et al., 2016). It is important to remember that
most of the PM urban studies are based on ambient measurements taken at a
single sampling point in a city, but the pollutants concentrations may vary
across the city. In this regard it is worth reporting the studies of the
ESCAPE project (Eeftens et al., 2012) which aimed to investigate long-term
effects on human health of exposure to air pollution in Europe, and showed
large spatial variability of trace elements and sources for improved
exposure assessment (Minguillon et al., 2014).</p>
      <p>The work presented in this manuscript is part of the FP7-PEOPLE-2009-IEF
SAPUSS project (Solving Aerosol Problem by Using Synergistic Strategies),
where for the first time in the Mediterranean Basin both the spatial
vertical and horizontal distributions of air pollutants were investigated
(Dall'Osto et al., 2013a). SAPUSS allows to better understand
the complex interactions between these pollutants and different
meteorological variables, as well as their influence on air quality. As
reported by Han et al. (2015), with the increase of vertical height the
influence of source emissions on local air quality is weakening, but the
characteristics of regional pollution gradually become obvious. The novelty
of SAPUSS relies on the fact that by simultaneously measuring across the
vertical and horizontal urban scale, local and regional PM sources can be
better apportioned. Unfortunately, there are very few studies conducted in
European urban vertical columns specifically looking at chemically resolved
aerosol sources (Ferrero et al., 2010, 2014; Harrison et al., 2012; Curci et
al., 2015). A larger number of aerosol vertical studies is found in Asia,
perhaps because a larger number of people live in high-rise buildings. For
example, an estimated 57.7 % of the 6.5 million residents in the Taipei
metropolis lived on or above the third story (Wu and Lung, 2012). Most
studies of vertical gradients of PM in urban environments consisted of a
tower with aerosol and meteorological instrumentation deployed at different
levels, up to 320 m (Chan et al., 2005; Tao et al., 2007; Zhang et al., 2011;
Shi et al., 2012; Xiao et al., 2012; Öztürk et al., 2013; Sun et
al., 2013; Tian et al., 2013; Moeinaddini et al., 2014; Wu et al., 2014).
Higher concentrations of primary emitted contaminants were found at the
lower levels, reflecting the closeness to the emission sources (Tian et al.,
2013). However, at some sites high PM concentrations were recorded at the
top level due to long-range transport of secondary pollutants (Harrison et
al., 2012; Shi et al., 2012; Xiao et al., 2012; Sun et al., 2013; Moeinaddini
et al., 2014).</p>
      <p>Atmospheric aerosol characteristics in the city of Barcelona and its
surrounding area have been studied in great detail. The main sources of
PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> are mineral dust sources and road traffic emissions (Amato et al.,
2009; Pérez et al., 2010). Other minor sources comprise shipping, both
due to the city harbour and regional sources in the Mediterranean Basin
(Querol et al., 2009; Pey et al., 2010). Industry represents usually less
than 10 % of PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> mass, being V and Ni common tracers both for
shipping and industrial activities (Querol et al., 2009; Viana et al.,
2014). Biomass burning contribution to PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> is relatively low in the
study area (Minguillón et al., 2011; Reche et al., 2012). Secondary
aerosol components affect PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> especially during regional recirculation
episodes, in which the stagnant conditions lead to the accumulation of
pollutants (Pandolfi et al., 2014). In addition, due to the coastal location
of the study area, sea breeze (during the day) and mountain breeze (during
the night) also influence pollution transport from/towards the urban area.
However, regarding PM concentration, the urban vertical column of Barcelona – and other Mediterranean
cities – are not characterised at all. Within the scope introduced in the
presenting overview paper of this special issue (Dall'Osto et
al., 2013a), the main objectives of this work are the following:
<list list-type="bullet"><list-item><p>to interpret the variability of aerosol levels and composition in the
urban Mediterranean environment of Barcelona, the second largest city in
Spain and a major metropolitan agglomerate in Europe;</p></list-item><list-item><p>to study aerosol particle mass in terms of the sources and the
physico-chemical transformations occurring simultaneously at the road,
background, tower and regional background sites;</p></list-item><list-item><p>to apply receptor modelling to PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> chemical composition dataset, in
order to allow the identification of emission sources and their respective
contributions to the PM mass in ambient air.</p></list-item></list>
Our unique approach relies in the fact that – for the first time – both
horizontal and vertical PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> measurements were taken simultaneously in
four different sites across the urban agglomerate of Barcelona. Special
emphasis is given to describing gradients ground/tower and the variability
of each factor concentrations under different air masses.</p>
</sec>
<sec id="Ch1.S2">
  <title>Methodology</title>
<sec id="Ch1.S2.SS1">
  <title>Location</title>
      <p>Measurements were performed in the urban agglomerate of Barcelona, a city
located in the NE of Spain in the western Mediterranean Basin (WMB). It is
geographically constrained by the Llobregat and Besòs valleys (to the SW
and NE, respectively) and the coastal range of Collserola to the N. The city
has a population of 1.7 million, and the metropolitan area exceeds 4
million. These conditions result in a highly populous urban area and one of
the highest car densities in Europe (6100 cars km<inline-formula><mml:math 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>, DGT, 2015). More
detailed information about the SAPUSS study area can be found elsewhere
(Dall'Osto et al., 2013a). The structure of the planetary boundary layer
(PBL) above Barcelona was monitored by simultaneous measurements of
ceilometers (Pandolfi et al., 2013). The field campaign took place in
Barcelona from 20 September to 20 October 2010, including six sampling sites
(Dall'Osto et al., 2013a). From those, the following four monitoring sites
are considered for the present study:
<list list-type="bullet"><list-item><p>Road Site (RS): represents the average conditions of a trafficked road in
the city centre (about 17 000 vehicles per day). The monitoring site was
located in the Urgell Street, a street canyon with four vehicle lanes (one
direction) and cycling lanes in both directions.</p></list-item><list-item><p>Urban Background (UB): represents the urban background environment of
Barcelona. It is located NW of the city centre in a small park 300 m away
from the busy Avinguda Diagonal, a nine-lane road used primarily by commuters
(62 000 vehicles per day).</p></list-item><list-item><p>Torre Mapfre (TM): a skyscraper located 300 m from the coast in the
Olympic Port of Barcelona, close to a recreational harbour and leisure area.
There is a tunnelled motorway ring road (four lanes) at 50 m distance from
the building and two three-lane roads at ground level. The measurements
were taken at the rooftop terrace of the tower (150 m a.s.l.).</p></list-item><list-item><p>Torre Collserola (TC): This site was found at the Fabra Observatory (415 m a.s.l.), about 450 m from the Collserola tower (TC), where additional
instrumentation was deployed (see Dall'Osto et al., 2013a). Due to
logistical reasons at the TC site (limited access and storage space), the
Fabra Observatory (TC<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>g</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was used as a monitoring site for the PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula>
aerosol chemical measurements. In this study the TC<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>g</mml:mi></mml:msub></mml:math></inline-formula> is named TC for
simplicity. Measurements in this monitoring site were taken at ground level
(10 m above ground) but at an overall height of 425 m a.s.l.</p></list-item></list>
It is important to note that whilst TM is well within the Barcelona urban
city centre, TC is located in the hills of the urban background of
Barcelona. It is worthwhile to stress that the two monitoring towers are the
tallest buildings within several kilometres of the sites, with good exposure
to winds from all directions (Dall'Osto et al., 2013a). The
mean ceilometer surface mixed layer (SML) and decoupled residual/convective
layer (DRCL) heights over the whole SAPUSS campaign were found to be
904 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 273 and 1761 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 363 m a.g.l., respectively (Pandolfi
et al., 2013), all well above all the four measurements sites described in
this study. PBL maximum height (<inline-formula><mml:math display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula>) and daily variations (DV) were strongly
dependent on air mass types, ranging from the highest <inline-formula><mml:math display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> – strongest DV
during the Atlantic air masses to the lowest <inline-formula><mml:math display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> – weakest DV during the
North African air masses, but overall always above both measurements towers
and other monitoring sites.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> variation at the four sites (RS, UB, TM, TC) during the
SAPUSS campaign under different air mass origin (regional (REG), North
African west (NAF_W), Atlantic (ATL), North African east
(NAF_E), European (EUR)). Saharan dust daily contribution to
PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> is indicated.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/6785/2016/acp-16-6785-2016-f01.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <title>Measurements</title>
      <p>High volume samplers DIGITEL DHA-80 and MCV CAV-A/mSb (30 m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
equipped with PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> heads collected 12 h samples (from 11:00 to 23:00
and from 23:00 to 11:00, local time) on quartz fibre filters (Pallflex
2500QAT-UP) at the four monitoring sites. A total of 221 filter samples were
collected, from which 93 % were collected simultaneously at the four
monitoring sites (54 concurrent samples per site).</p>
      <p>Meteorological parameters (temperature, relative humidity, wind speed and
direction, solar radiation and pressure) were measured at the same sampling
sites or at the nearest available meteorological station, as described
elsewhere (Dall'Osto et al., 2013a).</p>
<sec id="Ch1.S2.SS2.SSS1">
  <title>PM concentration and chemical composition</title>
      <p>PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> mass concentrations were determined gravimetrically. The samples
were analysed following the methodology described by Querol et al. (2001).
Briefly, a quarter of the filter was acid digested
(HNO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>:HF:HClO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and the resulting solution was analyzed for Al,
Ca, K, Mg, Fe, Ti, Mn, P, S, Na and 25 trace elements by inductively coupled
plasma atomic emission and mass spectrometry (ICP-AES and ICP-MS),
respectively; a quarter of the filter was water-extracted and the
concentrations of SO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, and
NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> were determined by ion chromatography (IC) and selective
electrode, respectively. A section of 1.5 cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> of the filter was used to
determine organic carbon (OC) and elemental carbon (EC) by a
thermal–optical transmission technique (Birch and Cary, 1996) using a
Sunset Laboratory OCEC Analyzer following the EUSAAR2 temperature protocol
(Cavalli et al., 2010). Laboratory and field blanks were analysed following
the same procedure. Ambient concentrations were calculated based on the
samples and the blanks concentrations.</p>
      <p>Crustal and sea salt aerosols concentration were also estimated. Moreno et al. (2006) reported the average composition of mineral dust originated in
the North African region that later reached the WMB. Based on the average
Na <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Al ratio of the North African dust, the mineral Na (or non-sea salt Na,
nss Na) can be calculated from the Al concentrations, hence the remaining Na
is attributed to sea salt (ss Na). The sea salt load for each sample was
calculated based on the ss Na and the standard sea salt composition which
includes Na, Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, ss Mg, ss Ca and ss SO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>
(Mészáros, 1999).</p>
      <p>Mineral matter was then calculated as the sum of SiO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>,
Al<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, nss Ca, Fe<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, K<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, nss MgO and nss
Na<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O. SiO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations were estimated as 3 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> Al<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>.
CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations were estimated as 1.5 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> Ca, assuming that all
Ca is present as CaCO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (Karanasiou et al., 2011). Organic matter (OM)
was estimated as OC multiplied by a factor 1.4 at the RS, 1.6 at the UB and
TM and 2.1 at the TC, according to Turpin and Lim (2001).</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <title>Source apportionment</title>
      <p>A constrained positive matrix factorisation (PMF, Paatero and Tapper, 1994)
model was applied using the Multilinear Engine (ME-2; Paatero, 1999) to
assess the source apportionment.</p>
      <p>PMF is a widely used receptor model based on the mass conservation
principle:

                  <disp-formula id="Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>p</mml:mi></mml:munderover><mml:msub><mml:mi>g</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>e</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mspace width="1em" linebreak="nobreak"/><mml:mi>i</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:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo><mml:mi>m</mml:mi><mml:mspace width="1em" linebreak="nobreak"/><mml:mi>j</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:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the <inline-formula><mml:math display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>th concentration of the species <inline-formula><mml:math display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the <inline-formula><mml:math display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>th contribution of the source <inline-formula><mml:math display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the
concentration of the species <inline-formula><mml:math display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> in source <inline-formula><mml:math display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>e</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> are the residuals.
Equation (1) can be also expressed in matrix form as <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="bold">X</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mi mathvariant="bold">GF</mml:mi><mml:mi>T</mml:mi></mml:msup><mml:mo>+</mml:mo><mml:mi mathvariant="bold">E</mml:mi></mml:mrow></mml:math></inline-formula>. PMF
solves Eq. (1) minimizing the object function <inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula>:
              <disp-formula id="Ch1.E2" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi>Q</mml:mi><mml:mo>=</mml:mo><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: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:mi>m</mml:mi></mml:munderover><mml:mo>(</mml:mo><mml:msub><mml:mi>e</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>s</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> are the individual data uncertainties. The uncertainty
estimates were based on the approach by Escrig Vidal et al. (2009) and Amato
et al. (2009) and provided a criterion to separate the species which retain
a significant signal from the ones dominated by noise. This criterion is
based on the signal-to-noise <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>/</mml:mo><mml:mi>N</mml:mi></mml:mrow></mml:math></inline-formula> ratio defined by Paatero and Hopke (2003).
Species with <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>/</mml:mo><mml:mi>N</mml:mi></mml:mrow></mml:math></inline-formula> &lt; 2 are generally defined as weak variables and
downweighted by a factor of 3. Nevertheless, since <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>/</mml:mo><mml:mi>N</mml:mi></mml:mrow></mml:math></inline-formula> is very sensitive to
sporadic values much higher than the level of noise, the percentage of data
above detection limit was used as complementary criterion. All the samples
collected at the four sites were gathered in one data matrix. This data
assembling allows exploring a larger area of the N-dimensional source
contributions space. The data matrix was uncensored, i.e. negative, zero and
below detection limit values were included as such in the analyses to avoid
a bias in the results (Paatero, 2007). A total of 221 samples containing 32
different species were included in the PMF which was run by means of the
Multilinear Engine-2 program allowing to handle a priori information as
shown in the Results section. A bootstrap technique was used to estimate the
uncertainties of factor profiles, based on the EPA PMF v3.0 script. It
consisted of three different steps: re-sampling, reweighting and random
rotational pulling (Tukey, 1958; Efron and Tibshirani, 1986). A seed value
of 7 was used with 20 runs. Rotational ambiguity was reduced by means of the
implementations of the constraints and evaluated through bootstrapping. The
final number of factors was chosen based on several criteria: <inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> values,
factors profiles and contributions, distribution of scaled residuals and <inline-formula><mml:math display="inline"><mml:mi>G</mml:mi></mml:math></inline-formula>
space plots.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results</title>
<sec id="Ch1.S3.SS1">
  <?xmltex \opttitle{PM${}_{{10}}$ concentration and chemical composition in a
three dimension (3-D) scenario}?><title>PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> concentration and chemical composition in a
three dimension (3-D) scenario</title>
      <p>As presented in the introduction overview paper of this special issue
(Dall'Osto et al., 2013a), the average PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula>
concentrations at the four monitoring sites during SAPUSS followed a
decreasing trend from the site closest to traffic sources to the one located
in the suburban background at 415 m a.s.l. (RS 30.7, UB 25.9, TM 24.8 and
21.8 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at TC; Figs. 1 and 2). This suggests that the city
surface is enhanced in coarse particles. It is important to note that the
high PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> ratios at the towers (TM, TC) are not only due to
the low PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> concentrations, as the absolute values of PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula>
detected at the tower sites were also higher than the urban background
ground levels. Deng et al. (2015) recently also reported that – overall –
the vertical distributions of PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula>, PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>, and PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> decreased
with height. The lapse rates showed the following sequence: PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula>
&gt; PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> &gt; PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula>, which indicates that the
vertical distribution of fine particles is more uniform than that of coarse
particles; and the vertical distribution in summer is more uniform than in
other seasons.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Mean composition of PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> concentration in <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
measured during the SAPUSS campaign at <bold>(a)</bold> Road Site (RS), <bold>(b)</bold> Urban
Background (UB), <bold>(c)</bold> Torre Mapfre (TM) and <bold>(d)</bold> Torre Collserola (TC). Data are
given in <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and %. On the top right of each graph average
gravimetric PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> concentration are represented.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/6785/2016/acp-16-6785-2016-f02.png"/>

        </fig>

      <p>Whilst the chemical analysis of the PM mass was only briefly described in an
earlier study (Dall'Osto et al., 2013a), in this section the
chemical components building up the PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> mass concentrations are
described in more details. The concentrations of each analysed species is
shown in Table S1 in the Supplement. Figures 2 and 3 show the absolute and relative
contributions to PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> at each site.
<list list-type="bullet"><list-item><p>Crustal elements accounted for 15–18 % of the mass, suggesting an
unexpectedly homogeneous relative contribution to the total PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> across
the Barcelona urban area (Fig. 2). However, absolute mass concentrations of
crustal matter (Fig. 3a) decreased from the city centre sites (5.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at RS) to those located further inland (3.2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at
TC), suggesting higher contribution of dust in the lower level monitoring
sites.</p></list-item><list-item><p>Sea salt aerosols appeared aged due to the robust lower Cl<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> Na and
higher SO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Na ratio than sea water composition (Henderson and
Henderson, 2009) and the relative contribution was homogenous at all sites
ranging from 7–10 % (1.5–2.7 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, Fig. 2). Figure 3b shows
that the highest concentrations were recorded near the sea side monitoring
sites (TM, RS), with a decreasing gradient recorded towards inland (UB, TC).
Despite TM being located a few metres from the sea side, it shows similar
concentrations to RS, 4 km distant. This might be due to the elevation of
the TM sampling site (150 m a.s.l.) causing dilution of surface sea spray.</p></list-item><list-item><p>Secondary inorganic aerosols (SIA: sulfate SO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, nitrate
NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and ammonium NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> display altogether similar
concentrations at the city sites (6.3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> on average at RS,
5.7 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at UB and 5.8 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at TM) and decrease
around 25 % at TC (4.4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Overall, SIA accounted for
20–24 % of the mass (4.4–6.3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, see Fig. 2). The
contribution of ammonium was similar at all sites, around 2–3 % (0.5–0.9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> mass. Sulfate and nitrate contributed in
similar proportions at all sites, ranging from 7–11 % each (1.6–2.6 for nitrate and 2.3–2.8 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for sulfate),
although in absolute concentrations a decrease of 15–35 % at the TC was
detected for SIA (see Fig. 3c).</p></list-item><list-item><p>Elemental carbon (EC) concentration was clearly influenced by traffic
sources, as its contribution decreased with the distance to traffic hot
spots (RS: 1.4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, 5 %; UB: 0.9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, 3 %;
TM: 0.7 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, 3 %; TC: 0.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, 2 % – see
Figs. 2 and 3d).</p></list-item><list-item><p>Organic matter (OM) accounted for 16–21 % of the mass and was found in the
highest relative proportion at the TC site due to its location on a nearby
hill in a suburban environment. The lowest concentrations were observed at
UB and TM (4.2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, followed by TC (4.6 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>,
while the highest ones were recorded at the RS (5.2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> – see
Figs. 2 and 3d).</p></list-item><list-item><p>The unaccounted mass of PM (31–35 %) is that resulting from the difference
of the gravimetric measurements of the filters and the sum of all the
components determined by chemical analysis. This unaccounted mass is usually
attributed to water molecules contained in potential remaining moisture, and
crystallisation and formation water (water molecules in the structure of
specific chemical species), as well as heteroatoms contained in the organic
species and not analysed (Querol et el., 2001; Amato et al., 2016).</p></list-item></list></p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F3" specific-use="star"><caption><p>Average PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> concentration of main and trace elements for
different emission sources at each site (RS: Road Site, UB: Urban
Background, TM: Torre Mapfre, TC: Torre Collserola). REE denote rare earth
elements.</p></caption>
          <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/6785/2016/acp-16-6785-2016-f03.png"/>

        </fig>

      <p>Despite the low contribution of trace elements to the bulk PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula>
(&lt; 1 %), their concentrations provide valuable information by
tracing specific pollution sources. Figure 3e–j show the concentration of a
selection of trace elements associated with four known sources affecting the
metropolitan area of Barcelona: crustal, road traffic, industry and
shipping. The most abundant crustal tracer is Ti followed by far by Rb, Y,
Ce, La, Li, Nd, and Ga. Such elements were found in higher concentrations at
the ground sites (RS and UB) relative to the tower sites (TM and TC). This
might be due to the dust resuspension by road traffic or other anthropogenic
sources such as construction works or parks, thus producing a vertical
decreasing gradient. The spatial variability of vehicle wear tracers such as
(Cu, Sn and Ba; Schauer et al., 2006) is driven by the proximity to traffic
sources, with RS being the most polluted site. The industrial emissions
tracers for the city of Barcelona (Zn, Mn, Pb, As and Ni; Amato et al.,
2009) showed higher concentrations at the UB followed by the RS, TM and TC.
This is likely to be due to the pollution plumes originating from the
industrial area along the Llobregat Basin (south-western side of Barcelona
metropolitan area) that first impacts the UB site (Dall'Osto
et al., 2013b). On the other hand, the remaining industrial tracers Cu and
Sb (showing a decreasing gradient with the distance to traffic sources)
might account for both industrial and traffic-related emissions. Both
traffic and industrial tracers showed significant higher values at the
ground sites respect the tower sites. In this regard, it is worth remembering that V and Ni (Fig. 3i–j) are usually associated with shipping
emissions (Kim and Hopke, 2008; Agrawal et al., 2008). Indeed, higher V levels
were found at the sites closer to the coast (TM and RS), in agreement with
findings from Minguillón et al. (2014). However, higher Ni
concentrations were recorded at the ground sites (UB and RS) respect to the
tower sites (TM and TC), probably due to the contribution of other Ni
sources reaching the ground sites (e.g. smelters). Viana
et al. (2014) reported a V <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ni ratio associated to shipping emissions of
2.3–4.5. In our study the only site within this range was TM (2.4), located
closest to the sea side. RS and UB showed lower ratios (1.3 and 1.1,
respectively) probably due to the higher impact of an industrial plume
containing Ni. TC ratio was 2.0, which might indicate an additional V
loading of crustal origin, due to its location on a nearby hill.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Source apportionment and temporal variability in a 3-D scenario</title>
      <p>The PMF analysis was applied to the PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> data matrix, which contained
221 samples (56 at RS, 54 at UB, 55 at TM and 56 at TC). The method herein
used is the same of the one recently reported by Amato et al. (2016), aiming
at characterising similarities and heterogeneities in PM sources and
contributions in urban areas from southern Europe. This method is not new,
as it was already proven to increase considerably the statistical
significance of the analysis (Amato et al., 2009). Different constraints
were added into the PMF model (Paatero and Hopke, 2008), in order to reduce
rotational ambiguity. The PMF solution chosen was an eight-factor solution,
with a <inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> (constrained) value of 6627, the <inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mtext>exp</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> ratio 1.17, and an increase d<inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> of 7.5 % with respect to the base run, due to the
implementation of auxiliary equations.</p>
      <p>One factor (road dust) was pulled towards the composition of local road dust
(average of city centre samples, as reported by Amato et al., 2009). The
road dust emission profile was introduced by means of auxiliary equation
(pulling equations, Paatero and Hopke, 2008), consisting in pulling a
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> toward the specific target value <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>:

                <disp-formula id="Ch1.Ex1"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mtext>aux</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mfenced close=")" open="("><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:mi>a</mml:mi></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>aux</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>aux</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the uncertainty connected to the pulling
equation, which expresses the confidence of the user on this equation. In
the present study, a pulling equation was used for each
species in order to
pull concentrations of a given factor toward the target concentration in the road
dust emission profile as obtained by Amato et al. (2009). An average profile
of four road dust samples collected at four different points of the Avinguda Diagonal was selected as a representative emission profile. The Na <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Al in the
mineral factor ratio was pulled towards the value reported for earth's crust
composition by Mason (1966) in form of auxiliary equation (Paatero and
Hopke, 2009).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Mean concentrations (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of PMF factors at the Road
Site (RS), Urban Background (UB), Torre Mapfre (TM) and Torre Collserola
(TC).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="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:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">PMF Factors (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">RS</oasis:entry>  
         <oasis:entry colname="col3">UB</oasis:entry>  
         <oasis:entry colname="col4">TM</oasis:entry>  
         <oasis:entry colname="col5">TC</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Exhaust &amp; wear</oasis:entry>  
         <oasis:entry colname="col2">8.7 (27 %)</oasis:entry>  
         <oasis:entry colname="col3">5.0 (18 %)</oasis:entry>  
         <oasis:entry colname="col4">2.9 (11 %)</oasis:entry>  
         <oasis:entry colname="col5">1.9 (10 %)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Road dust</oasis:entry>  
         <oasis:entry colname="col2">3.8 (12 %)</oasis:entry>  
         <oasis:entry colname="col3">3.3 (12 %)</oasis:entry>  
         <oasis:entry colname="col4">2.3 (9 %)</oasis:entry>  
         <oasis:entry colname="col5">1.6 (8 %)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Mineral</oasis:entry>  
         <oasis:entry colname="col2">4.6 (13 %)</oasis:entry>  
         <oasis:entry colname="col3">5.1 (18 %)</oasis:entry>  
         <oasis:entry colname="col4">4.8 (19 %)</oasis:entry>  
         <oasis:entry colname="col5">4.9 (26 %)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Aged marine</oasis:entry>  
         <oasis:entry colname="col2">4.6 (14 %)</oasis:entry>  
         <oasis:entry colname="col3">3.6 (13 %)</oasis:entry>  
         <oasis:entry colname="col4">5.2 (20 %)</oasis:entry>  
         <oasis:entry colname="col5">2.6 (13 %)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Heavy oil</oasis:entry>  
         <oasis:entry colname="col2">0.5 (2 %)</oasis:entry>  
         <oasis:entry colname="col3">0.6 (2 %)</oasis:entry>  
         <oasis:entry colname="col4">0.6 (2 %)</oasis:entry>  
         <oasis:entry colname="col5">0.4 (2 %)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Industrial</oasis:entry>  
         <oasis:entry colname="col2">1.2 (4 %)</oasis:entry>  
         <oasis:entry colname="col3">1.4 (5 %)</oasis:entry>  
         <oasis:entry colname="col4">0.7 (3 %)</oasis:entry>  
         <oasis:entry colname="col5">0.9 (5 %)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Sulfate</oasis:entry>  
         <oasis:entry colname="col2">3.5 (11 %)</oasis:entry>  
         <oasis:entry colname="col3">4.2 (15 %)</oasis:entry>  
         <oasis:entry colname="col4">3.8 (15 %)</oasis:entry>  
         <oasis:entry colname="col5">3.3 (17 %)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Nitrate</oasis:entry>  
         <oasis:entry colname="col2">5.7 (17 %)</oasis:entry>  
         <oasis:entry colname="col3">4.9 (17 %)</oasis:entry>  
         <oasis:entry colname="col4">5.5 (21 %)</oasis:entry>  
         <oasis:entry colname="col5">3.6 (19 %)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">32.6 (100 %)</oasis:entry>  
         <oasis:entry colname="col3">28.1 (100 %)</oasis:entry>  
         <oasis:entry colname="col4">25.8 (100 %)</oasis:entry>  
         <oasis:entry colname="col5">19.2 (100 %)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>Overall, a total of eight factors were identified by the application of PMF:
(1) “vehicle exhaust and wear”, (2) “road dust”, (3) “mineral”, (4) “aged
marine”, (5) “heavy oil”, (6) “industrial”, (7) “sulfate” and (8) “nitrate”. The PMF result has proven to be very robust (the sum of the
contributions of the chemical species for each source are close to one, see
Table S2), and the PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> mass has been well reconstructed by the PMF
model (see Fig. S1 in the Supplement). The average concentrations of each factor registered
at each site are shown in Fig. 5 and Table 1, while Fig. S2 displays the
temporal variation of each factor for all sites. To further complete the
analysis and interpretation of the results, Polar plots were obtained using
the OPENAIR software package of R (Carslaw and Ropkins, 2012; R Development
Core Team, 2012). These plots display the different factor concentrations
depending on the blowing wind direction and speed, thus allowing deducing
the main pollution sources origin (Fig. S3). The eight identified aerosol
PMF factors characteristics can be seen in Fig. 4 and are summarised
as:</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F4" specific-use="star"><caption><p> </p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/6785/2016/acp-16-6785-2016-f04-part01.png"/>

        </fig>

<?xmltex \hack{\addtocounter{figure}{-1}}?><?xmltex \floatpos{p}?><fig id="Ch1.F5" specific-use="star"><caption><p>PMF sources profiles for PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> during the SAPUSS campaign:
<bold>(a)</bold> vehicle exhaust and wear, <bold>(b)</bold> road dust, <bold>(c)</bold> mineral, <bold>(d)</bold> aged marine, <bold>(e)</bold> heavy
oil, <bold>(f)</bold> industrial, <bold>(g)</bold> sulfate, <bold>(h)</bold> nitrate. Uncertainties were obtained by
bootstrapping.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/6785/2016/acp-16-6785-2016-f04-part02.png"/>

        </fig>

      <p><list list-type="bullet">
            <list-item>
              <p>The vehicle exhaust and wear factor profile (Fig. 4a) was dominated by EC
and OC originating from vehicle exhaust emissions. Other chemical elements
include Cu, Sb, Cr, Fe and Sn (67, 53, 46, 41 and 39 % of
the variation, respectively) which are usually present in the brake and tyre
wear (Sternbeck et al., 2002; Ntziachristos et al., 2007; Amato et al.,
2009). Due to its direct traffic origin, this factor accounts for the
highest mass contribution at the RS (27 %, 8.7 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>,
followed by UB (18 %, 5.0 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, TM (11 %, 2.9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and TC
(10 %, 1.9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; see Table 1 and Fig. 4a).
A clear horizontal and vertical gradients can be seen for the PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> contributions of this source. It originated at the traffic hot spots near
RS, UB and TM and was later transported upslope towards TC by the sea
breeze, where the maximum concentrations were recorded under SE winds from
the city (Fig. S3).</p>
            </list-item>
            <list-item>
              <p>The road dust PMF factor profile (Fig. 4b) was constrained using the
emission profile reported for the city of Barcelona by Amato et al. (2009)
by means of a pulling equation. It contained high concentrations of
Al<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, Ca, Fe, Li, Ti but also explained around 20 % of the
variation of Cu and Sb (Table 1 and Fig. 4b). As expected, this factor
concentration followed also a decreasing trend from RS (12 %, 3.8 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and UB (12 %, 3.3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> to TM
(9 %, 2.3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and TC (8 %, 1.6 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The road dust
was transported from the nearby busy streets towards the sites, as seen in
Fig. S3.</p>
            </list-item>
            <list-item>
              <p>The mineral PMF factor profile (Fig. 4c) was mainly traced by of
Al<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, Ti, Rb, La, Li and Se (42, 45, 36, 27,
26, 22 % of the variation, respectively). Unexpectedly, average
absolute concentrations were very homogeneous across the city (4.6 to 5.1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, 13–26 %), pointing to a source affecting the whole
urban area and to the important and robust enrichment in S and C
with respect to the average crust composition (Taylor, 1964;  Mason, 1966),
indicating the mixing of mineral dust with regional/local plumes and the
neutralization of sulfuric acid by mineral cations through heterogeneous
reactions.</p>
            </list-item>
            <list-item>
              <p>The aged marine PMF factor profile (Fig. 4d) contribution is characterised
by Na and Cl (75 and 52 % of the variation, respectively) and also a
proportion of Mg and SO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> (48 and 22 % of the variation,
respectively). The ratio SO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Na exceeded the calculated sea salt
ratio, indicating its aged nature. As expected, the highest concentrations
were reached at the sites located closer to the sea (TM, 20 %, 5.2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; RS, 14 %,
4.6 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; UB, 13 %, 3.6 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; TC, 13 %, 2.6 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The highest concentrations at
all sites were reached under E–SE-blowing winds (caused by sea breeze, Fig. S3).</p>
            </list-item>
            <list-item>
              <p>The heavy-oil PMF factor profile (Fig. 4e) was characterized by V and Ni
(71 and 45 % of the variation, respectively) and showed a relevant
concentration of SO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> and EC. It was attributed to fuel oil
combustion from shipping emissions since natural-gas power generation around Barcelona has only been allowed since 2008. Furthermore, 98 % of
domestic heating systems use natural gas, and the spatial distribution of V
concentrations evidenced higher levels as we approach the coast (Table S1).
Average concentrations varied between 0.4 and 0.6 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
representing on average about 2 % of the load at each site (Table 1).</p>
            </list-item>
            <list-item>
              <p>The industrial PMF factor profile (Fig. 4f) was defined by Pb, Zn, Mn and Cd
(50, 44, 31 and 19 % of the variation, respectively). It was
related to the smelters and cement kilns located along the nearby Llobregat
valley, NW of the city (Amato et al., 2009; Moreno et al., 2011;
Dall'Osto et al., 2013b). The emission plume was transported
towards the city by the night land breeze (Fig. S3), reaching the ground
sites UB and RS in a greater measure due to proximity of the sources (RS,
4 %, 1.2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; UB, 5 %, 1.4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; TM, 3 %,
0.7 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; TC, 5 %, 0.9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The highest
peaks (6–8 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> were recorded for the UB site on 5 and 10 October (Fig. S2), showing the highest concentrations at all sites
under NW winds (Fig. S3).</p>
            </list-item>
            <list-item>
              <p>The sulfate PMF factor profile (Fig. 4g) was defined by SO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> and
NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (39 and 73 % of the variation, respectively). OC is
also present in significant concentration (around 10 %), suggesting the
contribution of secondary organic aerosols to this factor. As a consequence
of its regional origin and secondary nature, it shows homogeneous
concentration values at the four sites (3.3–4.2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, 11–17 %;
see Table 1).</p>
            </list-item>
            <list-item>
              <p>The nitrate PMF factor profile (Fig. 4h) was mainly traced by NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
(97 % of the variation), but NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, OC and Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> also
contributed in a minor proportion (10, 11 and 6 %, respectively).
It also shows homogeneous concentration values at the three city sites
(around 5.4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, whereas at TC concentrations were 33 % lower
(3.6 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, see Table 1). This revealed a dominant local urban
origin of this factor, as nitrate was diluted while being transported to the
suburban area.</p>
            </list-item>
          </list>A nine-factor solution was attempted and showed the same factors shown with
the eight-factor solution, with an additional ninth factor called “Se-SUL”, composed
mainly of selenium and sulfate and lacking of any clear temporal trends
(see the Supplement).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>Contribution to PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> concentration levels of each of the
eight factors: <bold>(a)</bold> at each of the 4 sites (RS, UB, TM, TC) and <bold>(b)</bold> at ground
(RS and UB) and tower levels (TM and TC) and the concentration ratio between
ground and tower sites during the SAPUSS campaign.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/6785/2016/acp-16-6785-2016-f05.pdf"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <title>Variability of aerosol sources across sites and ground-tower ratio</title>
      <p>The distance to the emission source strongly influences the concentration
levels of certain PMF factors detected at the sampling sites. This is the
case of the exhaust and wear and road dust factors, presenting a decreasing
concentration gradient with the distance to the traffic hot spots, as the
highest concentrations were found at the RS, followed by UB, TM and TC.
Regarding the marine factor, the distance to the sea influenced the average
concentrations, being highest at TM, followed by RS, UB and TC. In the case
of the industrial factor, whose main source is located SW of the city, the
UB was the first site impacted by this plume as it showed the highest
concentrations, followed by RS, TC and TM. On the other hand, fairly
homogeneous concentrations were recorded at the sites for mineral and heavy-oil factors, evidencing that its sources affect the whole urban area.
Regarding sulfate, similar concentrations were recorded at the sites,
although the higher concentrations displayed at the UB site remain
unexplained at this stage. Concerning the nitrate factor, concentrations
were found to decrease with the distance to traffic sources from RS to TC.
However, at the TM site higher concentrations than at the UB site were
recorded due to the elevation of the urban tower site above the ground
favouring the formation of particulate nitrate due to colder temperature.
Curci et al. (2015) also showed that an important player in determining the
upper planetary boundary layer (PBL) aerosol is particulate nitrate, which
may reach higher values in the upper PBL (up to 30 %) than in the lower
PBL. Overall, the trends are in line with a recent study in a Chinese tower
(Han et al., 2015), suggesting that the impact of primary sources from the
ground decreased with the increase of height, while the impact of secondary
sources mainly influenced by regional sources becomes more prominent.</p>
      <p>To further study the vertical variability in the factor concentrations, the
ratios between the average concentrations at the “ground” sites (RS, UB) and
“tower” sites (TM, TC) were calculated for each factor, and the results are
presented in Fig. 5. Three sources were found to be different between ground
and tower levels: exhaust and wear, road dust and industry. The highest
differences were found for the exhaust and wear and road dust factors, where
the concentrations at the ground sites were 2.8 and 1.8 times those at the
towers, respectively. The industrial factor concentration at the ground
sites were on average 1.6 times higher than at the towers, pointing towards
the greater impact of the SW industrial plume on ground levels; although a
contribution of the small industrial facilities spread within the city
should not be discarded. On the other hand, the remaining factors (mineral
factor, aged marine and heavy oil) showed similar contributions at ground
and tower sites. A vertical distribution for various chemical species was
also previously reported in a number of other studies. For example, Han et al. (2015) recently showed similar percentage levels at the four different
heights for Al and Si. However, for the Ca and EC fractions, higher values
were observed at lower sampling sites. The percentages of nitrate, sulfate
and OC, and the OC <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> EC ratios were higher at the higher sites. Source
apportionment for ambient PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> showed that the percentage contributions
of secondary sources obviously increased with height, while the contribution
of cement dust decreased with height. Ho et al. (2015) also reported that
vertical variations were observed for mineral and road dust (Si, Ti and Fe)
in the PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> region. Similarly, Wu et al. (2014) reported traffic
related aerosol (in particular resuspended road dust – traced with Si) and
industrial ground activities vertically stratified. In summary – consistent
with this SAPUSS study – exhaust traffic, non-exhaust traffic and industrial
aerosol sources were the ones mostly affecting the aerosol vertical
gradients.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F7" specific-use="star"><caption><p>Average PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> contributions from the eight PMF factors at each
of the sites (RS, UB, TM and TC) under different atmospheric scenarios
(Atlantic, ATL; Regional, REG; North African west, NAFW; North African east,
NAFE and European, EUR) during the SAPUSS campaign.</p></caption>
          <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/6785/2016/acp-16-6785-2016-f06.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <title>Aerosol sources variability relative to air mass category</title>
      <p>The variability in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> concentrations and air mass scenario during
SAPUSS (according to the classification presented by Dall'Osto et al., 2013a) shown in Fig. 1 was already briefly discussed in Sect. 3.1. Figure 6
shows the average concentrations at each site (for each factor) under the five air mass
scenarios identified during SAPUSS: Atlantic (ATL), Regional (REG), North
African west (NAF_W), North African east (NAF_E) and European (EUR). REG scenarios were related to the recirculation of
air masses over the study area, thus favouring the accumulation of both
primary (vehicle exhaust and wear, industrial) and secondary pollutants
(sulfate, nitrate). Overall, concentrations were 32 % higher under these
REG air masses due to low pollutants dispersion (Fig. 6). During the study period EUR air masses were related
to a rainfall event, thus wet deposition caused a radical decrease in road
dust concentrations under this scenario (0.3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> vs. 2.7 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, see Fig. 6b). On the other hand, this factor showed the highest concentrations during
NAF_E scenarios due to the increase of its loading and
subsequent resuspension. Under North African air
masses (NAF_W and NAF_E), average
concentration levels of the mineral factor nearly doubled with respect to the average levels for
non-African days (9.2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> vs. 4.9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, Fig. 6c). The NAF_E and EUR air
masses crossed the WMB, blowing easterly winds inland and also causing an
increase in aged marine aerosols concentration (Fig. 6d). The cruise and commercial port of Barcelona is located south
of the city (Fig. S3), and thus under NAF_W air masses and
S–SW winds the highest heavy-oil concentrations were recorded at all sites,
pointing towards direct port emissions as the main contributor to this
factor. ATL air masses were generally related to low concentrations for the
different factors (due to pollutants dilution) except for the industrial
factor, which might be explained similarly by the accompanying westerly
winds under this scenario.</p>
      <p>As discussed in Dall'Osto et al. (2013a), a number of
possible REG stagnant different scenarios were classified during SAPUSS. As
a case study, we consider two different ones: REG_1 (4 days
between 29 September and 2 October) and REG_2 (4 days between
14–17 October). Figure S4 shows the meteorological diurnal profiles of the
two scenarios. Whilst REG_1 shows warmer temperatures and a
daily sea breeze circulation, REG_2 is characterised by
colder temperatures, more stagnant air and an absence of a sea breeze
circulation. Overall, high PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> concentrations were recorded under REG
air mass due to the accumulation of pollutants. REG_1
presented 19–31 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> average mass concentrations
across the four sites, whereas REG_2 showed even higher
loadings (30–41 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The REG_1 episode
allowed the transport of heavy oil towards the city with the development of
the sea breeze, whereas in the REG_2 episode the poor
development of the sea breeze minimized the transport of the shipping
emissions towards the city (Fig. S4). It is interesting to note that during
the REG_2 recirculation episode (14–17 October), the nitrate
PMF factor concentrations were doubled (10.7 vs. 4.9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> overall
SAPUSS average) at the four monitoring sites, reaching occasionally higher
levels at the tower sites (TM, TC) than at ground levels (RS, UB). By
contrast, the sulfate PMF factor did not show a larger variation among
different REG scenarios. The PMF nitrate/PMF sulfate ratio was found
to be 1.2 and 2.3 for REG_1 and REG_2,
respectively. As previously observed in a vertical aerosol study in London
(Harrison et al., 2012) the cooler temperatures and higher relative humidity
on the tower level during the REG_2 scenario can shift the
gas/aerosol nitrate equilibrium towards the aerosol phase. In other words,
during SAPUSS some aspects of nitrate behaviour were broadly similar to
those of sulfate, but other aspects proved very different. During SAPUSS,
aerosol time-of-flight mass spectrometer studies (Dall'Osto
et al., 2013a) reported two types of nitrate aerosols. Briefly, the first
appeared to be associated with local formation processes and occurred at
times outside of the long-range transport episode. The second type of
nitrate was regionally transported and internally mixed with sulfate,
ammonium and both elemental and organic carbon (Dall'Osto et
al., 2009). In this regard, it should be noted that the nitrate
radical (NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is one of the the most important oxidants in the nocturnal
boundary layer (NBL; Benton et al., 2010). Little is known about products
between the formation of NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, its reactions with volatile organic
compounds (VOCs) and the formation of organic nitrate (Wayne et al., 1991;
Brown et al., 2009). The PMF method applied in this aerosol-filter-based
PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> concentrations shows OC being an important component (11 %) for
the PMF nitrate factor, although 19 % of the OC component was not
described by the PMF and found in the PMF residuals. It is likely that the
high concentrations of nitrate found in regional air masses during SAPUSS
are a complex mixture of different types of aerosol nitrate, not been
distinguished during this PMF analysis and likely due to the poor time
resolution (12 h) of the off-line aerosol filter techniques
(Dall'Osto et al., 2013a).</p>
</sec>
<sec id="Ch1.S4.SS3">
  <title>Additional aerosol source estimations</title>
      <p>The PMF model was applied during this SAPUSS study and the results were
presented in Sect. 3.2. However, PMF may not be able to separate similar
sources and, due to chemical reactions, apparently “natural” PMF factors
like mineral and marine may also include anthropogenic contributions. In
order to elucidate the contributions to ambient PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> concentrations, a
combination of additional aerosol source estimation techniques were applied
to further elucidate two main natural sources (mineral dust and marine
sources) contributing to the PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> mass during SAPUSS in Barcelona.</p><?xmltex \hack{\newpage}?>
<sec id="Ch1.S4.SS3.SSS1">
  <title>Mineral dust sources</title>
      <p>Mineral sources in a Mediterranean urban environment are diverse. Broadly,
three main components of mineral dust have been reported in the literature:
(1) urban-regional background dust, (2) local road dust and (3) Saharan
dust. Querol et al. (2001) reported a urban/regional background mineral dust
factor enriched in Al and Ca, which presented higher concentrations in
summer than in winter. A background source rich in Ca, Si, Al and Ti was
also attributed to regional anthropogenic and natural resuspension such as
urban dust from construction/demolition works, unpaved areas and parks,
among other sources (Amato et al., 2009). Road dust is associated with
resuspended road dust by passing vehicles and wind, and is traced by Fe, Ca,
Al, Si, Ti, Cu, Sb, Sn, Ba, Zn, OC and EC (Schauer et al., 2006). The use of
constraints for the source apportionment PMF model by using pulling
equations enabled to quantify the road dust fraction of the mineral dust.
These PMF factor concentrations showed a clear decreasing gradient with the distance to traffic sources, ranging from 1.6 to
3.8 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>Average sources contributing to the mineral dust load during
SAPUSS at the four monitoring sites RS, UB, TM and TC. Mineral background
dust contributes on average 2.8 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, road dust 2.7 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and Saharan dust 2.1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p></caption>
            <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/6785/2016/acp-16-6785-2016-f07.pdf"/>

          </fig>

      <p>Saharan dust outbreaks transporting dust (made of quartz, clays, calcium
carbonate and iron oxide and traced by Al, Si, Ti among others) regularly
impact the study area (Querol et al., 2001). Efforts have focused on
quantifying this contribution to the average mineral loading, both for air
quality purposes (Querol et al., 2009; Pey et al., 2013) and its impact on
population's health (Pérez et al., 2008). However, the PMF factor
analysis could not efficiently separate Saharan dust, background mineral and
road dust. Hence, the methodology proposed by Escudero et al. (2007) for
estimating the Saharan dust daily contribution for different mass fractions
was applied. Briefly, it consists of subtracting from the average
concentrations registered at the city (Barcelona) those ones simultaneously
measured at the nearest regional background site (Montseny, 720 m.a.s.l., 50 km NE of Barcelona). However, during SAPUSS the estimated Saharan dust
loadings calculated with this method often exceeded the real PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula>
concentrations registered at the SAPUSS sites. This is likely due to the
fact that Saharan dust outbreaks are different at the sea level Barcelona
city and its higher altitude regional background surrounding area (Escudero
et al., 2007). Therefore, a different methodology was applied for subtracting
the Saharan dust load from the mineral factor. We calculated the in situ
baseline of mineral dust levels at each site during the Saharan outbreaks,
taking into account the concentrations registered before and after the
Saharan dust episodes, and extracted these from the mineral dust load for
each sample at each site. The resulting concentration exceedance of mineral
dust was interpreted as the Saharan dust contribution. Overall, it was found
that the average contribution of Saharan dust for the whole study period at
the four sites was 2.1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (28 % of the PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> mineral
load). Upon subtraction of the estimated Saharan dust contribution at each
site, the remaining mineral loading corresponds to background mineral dust
of urban or regional origin (2.7 to 2.9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. This narrow
concentration range at the four sites (Fig. 7) – independent of the height
and urban location – points towards a regional origin of this background
mineral matter.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><caption><p>Average sources contributing to the sea salt factor during SAPUSS
at the four monitoring sites RS, UB, TM and TC. Calculated sea salt
contributes on average 1.8 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and marine sulfate from
regional pollution 2.2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. (AM: anthropogenic marine).</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/6785/2016/acp-16-6785-2016-f08.jpg"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><caption><p>Sources contributing to the PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> load extracted with the PMF
tool and subcomponents at each monitoring: <bold>(a)</bold> RS, <bold>(b)</bold> UB, <bold>(c)</bold> TM and <bold>(d)</bold> TC.
Exhaust&amp; wear (E &amp; W), road dust (Road D), heavy oil (Oil), industrial
(Ind), sulfate (Sul) and nitrate (Nit) are direct PMF factors. The mineral
factor was broken into background dust (Bkg D) and Saharan dust (Sah D) and
the aged marine factor into calculated sea salt (Calc ss) and anthropogenic
marine sulfate of regional origin (AM Sul). Data are given in <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and %. The average PMF PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> concentrations are represented
at the top left of each graph for each site.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/6785/2016/acp-16-6785-2016-f09.pdf"/>

          </fig>

      <p>In summary, during SAPUSS the three mineral dust sources (Figs. 7–9) could be
summarised as follows.
<list list-type="order"><list-item><p>Background dust – has a homogeneous distribution among the
sampling sites and was thus attributed to background mineral dust with a
possible urban or regional origin. A regional origin is thought to be more
probable due to the uniform distribution of this dust type at both
horizontal and vertical levels for the whole study area. Average
concentrations during the SAPUSS study ranged from 2.7 to 2.9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, resulting in the mineral source with the highest contribution
(37 % of the mineral dust in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> in the study period).</p></list-item><list-item><p>Road dust – the concentrations decreased from RS to TC, contributing
3.8–1.6 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> on average (35 % of the mineral dust in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula>
during the study period).</p></list-item><list-item><p>Saharan dust – African air mass incursions occurred on 20 % of the days
during the study period. Under this scenario, the excess dust from the PMF
mineral factor was extracted and attributed to Saharan dust, thus obtaining
an average Saharan dust contribution of 2.1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (28 % of the
mineral dust in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> in the study period).</p></list-item></list></p>
</sec>
<sec id="Ch1.S4.SS3.SSS2">
  <title>Sea salt aerosols</title>
      <p>Sea spray aerosol is an important component of the aerosol population in the
marine environment, and given that 70 % of the Earth's surface is covered
by oceans, it contributes significantly to the global aerosol budget
(Vignati et al., 2010). Due to the high impact of anthropogenic activities
on the WMB and the frequent recirculation of regional polluted air masses on
the region, an interaction between natural and anthropogenic sources is
expected. Indeed, 22 % of the variability of SO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> was
attributed to the aged marine PMF factor (Fig. 4, Table S3), suggesting that
this factor is internally mixed with anthropogenic pollutants. The fresh sea
salt is calculated as the sum of ssNa <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> Cl<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> ssMg <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> ssCa<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>
ssSulfate. ssNa is calculated as the measured Na – nss Na – Na from
Na<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> in the PMF aged marine factor. The anthropogenic marine
sulfate is calculated as the difference between the PMF aged marine and the
fresh sea salt. The PMF aged marine factor (2.6–5.2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> could
be broken down into calculated fresh sea salt (1.2–2.1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
40–47 %) and anthropogenic marine sulfate of regional origin (1.4–3.1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, 53–60 %).
These results evidence that both the calculated
sea salt and the anthropogenic marine sulfate aerosols contributed in a
similar proportion to the aged marine factor (Figs. 8, 9). The marine
sulfate of anthropogenic origin derived from the aged marine factor shows a
different origin to the PMF sulfate factor. As can be seen in Fig. S3 the
highest concentrations of anthropogenic marine sulfate were recorded under
eastern winds at all sites, whereas for the PMF sulfate factor no dominant
wind direction was found. Namely, the highest sulfate factor concentrations
were recorded under REG air masses, while the anthropogenic marine sulfate
shows relatively low concentrations. Conversely, under NAF_E
air masses the marine sulfate of regional origin shows the highest
concentrations, contrary to the secondary sulfate factor (Fig. S2).</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Conclusions</title>
      <p>With the aim of assessing and evaluating the vertical and horizontal spatial
variability of PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> concentrations in a southern European urban
environment, 221 PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> samples (12 h resolution) were simultaneously
collected at four monitoring sites strategically located within the city of
Barcelona during 1 month (SAPUSS campaign, 20 September to 20 October
2010). A decreasing PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> concentration gradient from road traffic hot
spots to the background areas was recorded. Overall, both the proximity to
traffic sources and the different types of air mass scenarios lead to a wide
variability in concentrations and chemical composition of PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> across
the vertical and horizontal scale in Barcelona during SAPUSS. When a PMF
factor analysis was run on the 221 filters collected, the optimal
chosen solution contained eight factors: (1) vehicle exhaust and wear, (2) road dust, (3) mineral, (4) aged marine, (5) heavy oil,
(6) industrial, (7) sulfate and (8) nitrate. Overall, primary traffic emissions (exhaust and
wear and road dust) accounted for 18–39 % of PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> mass, primary
inorganic aerosols (mineral dust and aged marine) 27–39 %, industry (heavy
oil and industrial) 5–7 % and secondary aerosols (sulfate and nitrate)
28–36 %. The main factors influencing the different source
concentrations at each site were the following: air mass origin, proximity to the emission source and
meteorological parameters, such as wind speed and direction (influencing the
sea breeze development for both dispersion and transport of specific
pollutants) and temperature (causing the volatilisation of nitrate under
high temperatures). Special emphasis was put on trying to further apportion
the dust aerosol sources. Overall, three sources of dust were identified in
the urban area of Barcelona: road dust (3.8–1.6 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, average
35 %), Saharan dust (2.1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, average 28 %) and mineral dust of
regional origin (2.7–2.9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, average 37 %). Regarding the
aged marine aerosol factor, it was found to be internally mixed with
sulfate of regional origin, as the calculated fresh sea salt (1.8 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, 45 % of the aerosol marine load) was aged by the mixing with
anthropogenic marine sulfate of regional origin (2.2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
55 % of the aerosol marine load). As expected, it was found that non-vehicle exhausts, vehicle exhausts, and local industries located in the city
centre were contributing to the PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> ground concentrations levels.
However, surprisingly the PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> concentrations of secondary aerosols
were found more homogeneous than expected. On the whole, our results show
that although a higher homogeneity than expected was found in the horizontal
and vertical variability of pollution levels in the Barcelona urban
atmosphere, primary emission factors related to vehicle exhaust emissions
and road dust resuspension decrease with the distance to traffic hot spots.
Road traffic emissions comprise not only tailpipe exhaust emissions but also
non-exhaust emissions derived from the vehicle-induced resuspension of dust
deposited on the road, and from the direct emissions from vehicle wear
(brakes, tyres, discs etc.). This study confirms that – for the coarse
PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> fraction – road traffic is still a major source of ground level
PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> aerosol mass. Furthermore, this study shows that local
industries and small workplaces are also a source of PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> aerosol mass
within urban ground levels.</p>
</sec>

      
      </body>
    <back><app-group>
        <supplementary-material position="anchor"><p><bold>The Supplement related to this article is available online at <inline-supplementary-material xlink:href="http://dx.doi.org/10.5194/acp-16-6785-2016-supplement" xlink:title="pdf">doi:10.5194/acp-16-6785-2016-supplement</inline-supplementary-material>.</bold></p></supplementary-material>
        </app-group><ack><title>Acknowledgements</title><p>This study was supported by FP7-PEOPLE-2009-IEF, project number 254773,
SAPUSS – Solving Aerosol Problems Using Synergistic Strategies (Marie Curie
Actions – Intra European Fellowships. Manuel Dall'Osto). This study was also
supported by research projects from the D.G. de Calidad y Evaluación
Ambiental (Spanish Ministry of the Environment) and the Plan Nacional de
I<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>D (Spanish Ministry of Science and Innovation; CGL2010-19464 (VAMOS) and
CSD2007-00067; GRACCIE). This study was supported by the Generalitat de Catalunya (AGAUR 2014 SGR33 and the DGQA). Fulvio Amato is beneficiary of the Juan de la Cierva postdoctoral grant from Spanish Ministry of Education. Finally,
Santiago Castante (Mapfre Tower), Diego Garcia Talavera (Collserola tower)
and Alfons Puertas (Secció de Meteorologia, Fabra Observatory) are also
acknowledged.
<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: R. Vecchi</p></ack><ref-list>
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    </app></app-group></back>
    <!--<article-title-html>Vertical and horizontal variability of PM<sub>10</sub> source contributions in
Barcelona during SAPUSS</article-title-html>
<abstract-html><p class="p">During the SAPUSS campaign (Solving Aerosol Problems by Using Synergistic
Strategies) PM<sub>10</sub> samples at 12-hour resolution were simultaneously
collected at four monitoring sites located in the urban agglomerate of
Barcelona (Spain). A total of 221 samples were collected from 20 September
to 20 October 2010. The Road Site (RS) site and the Urban Background (UB)
site were located at street level, whereas the Torre Mapfre (TM) and the
Torre Collserola (TC) sites were located at 150 m a.s.l. by the sea side
within the urban area and at 415 m a.s.l. 8 km inland, respectively. For the
first time, we are able to report simultaneous PM<sub>10</sub> aerosol
measurements, allowing us to study aerosol gradients at both horizontal and
vertical levels. The complete chemical composition of PM<sub>10</sub> was
determined on the 221 samples, and factor analysis (positive matrix
factorisation, PMF) was applied. This resulted in eight factors which were
attributed to eight main aerosol sources affecting PM<sub>10</sub> concentrations
in the studied urban environment: (1) vehicle exhaust and wear
(2–9 µg m<sup>−3</sup>, 10–27 % of PM<sub>10</sub> mass on average), (2) road dust (2–4 µg m<sup>−3</sup>, 8–12 %),
(3) mineral dust (5 µg m<sup>−3</sup>, 13–26 %),
(4) aged marine (3–5 µg m<sup>−3</sup>, 13–20 %), (5) heavy oil (0.4–0.6 µg m<sup>−3</sup>, 2 %), (6) industrial
(1 µg m<sup>−3</sup>, 3–5 %), (7) sulfate (3–4 µg m<sup>−3</sup>, 11–17 %) and (8) nitrate (4–6 µg m<sup>−3</sup>,
17–21 %). Three aerosol sources were found to be enhanced at the
ground levels (confined within the urban ground levels of the city) relative
to the upper levels: (1) vehicle exhaust and wear (2.8 higher), (2) road
dust (1.8 higher) and (3) local urban industries/crafts workshops (1.6
higher). Surprisingly, the other aerosol sources were relatively homogeneous
at both horizontal and vertical levels. However, air mass origin and
meteorological parameters also played a key role in influencing the
variability of the factor concentrations. The mineral dust and aged marine
factors were found to be a mixture of natural and anthropogenic components
and were thus further investigated. Overall, three types of dust were
identified to affect the urban study area: road dust (35 % of the mineral
dust load, 2–4 µg m<sup>−3</sup> on average), Saharan dust (28 %, 2.1 µg m<sup>−3</sup>) and background mineral dust
(37 %, 2.8 µg m<sup>−3</sup>). Our
results evidence that although the city of Barcelona broadly shows a
homogeneous distribution of PM<sub>10</sub> pollution sources, non-exhaust
traffic, exhaust traffic and local urban industrial activities are major
coarse PM<sub>10</sub> aerosol sources.</p></abstract-html>
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